TSTP Solution File: HWV050-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV050-1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:14:15 EDT 2022
% Result : Unsatisfiable 18.84s 12.41s
% Output : Proof 22.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV050-1 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 23:16:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 18.84/12.41 % SZS status Unsatisfiable
% 18.84/12.41 % SZS output start Proof
% 18.84/12.41 tff(v84_type, type, (
% 18.84/12.41 v84: ( $i * $i ) > $o)).
% 18.84/12.41 tff(bitIndex0_type, type, (
% 18.84/12.41 bitIndex0: $i)).
% 18.84/12.41 tff(constB165_type, type, (
% 18.84/12.41 constB165: $i)).
% 18.84/12.41 tff(sK0_VarCurr_type, type, (
% 18.84/12.41 sK0_VarCurr: $i)).
% 18.84/12.41 tff(constB189_type, type, (
% 18.84/12.41 constB189: $i)).
% 18.84/12.41 tff(bitIndex1_type, type, (
% 18.84/12.41 bitIndex1: $i)).
% 18.84/12.41 tff(bitIndex2_type, type, (
% 18.84/12.41 bitIndex2: $i)).
% 18.84/12.41 tff(constB179_type, type, (
% 18.84/12.41 constB179: $i)).
% 18.84/12.41 tff(constB143_type, type, (
% 18.84/12.41 constB143: $i)).
% 18.84/12.41 tff(constB142_type, type, (
% 18.84/12.41 constB142: $i)).
% 18.84/12.41 tff(v94_type, type, (
% 18.84/12.41 v94: $i > $o)).
% 18.84/12.41 tff(v104_type, type, (
% 18.84/12.41 v104: $i > $o)).
% 18.84/12.41 tff(v102_type, type, (
% 18.84/12.41 v102: $i > $o)).
% 18.84/12.41 tff(constB141_type, type, (
% 18.84/12.41 constB141: $i)).
% 18.84/12.41 tff(v107_type, type, (
% 18.84/12.41 v107: $i > $o)).
% 18.84/12.41 tff(v108_type, type, (
% 18.84/12.41 v108: $i > $o)).
% 18.84/12.41 tff(v109_type, type, (
% 18.84/12.41 v109: $i > $o)).
% 18.84/12.41 tff(constB140_type, type, (
% 18.84/12.41 constB140: $i)).
% 18.84/12.41 tff(v123_type, type, (
% 18.84/12.41 v123: ( $i * $i ) > $o)).
% 18.84/12.41 tff(v121_type, type, (
% 18.84/12.41 v121: ( $i * $i ) > $o)).
% 18.84/12.41 tff(constB139_type, type, (
% 18.84/12.41 constB139: $i)).
% 18.84/12.41 tff(v124_type, type, (
% 18.84/12.41 v124: ( $i * $i ) > $o)).
% 18.84/12.41 tff(v116_type, type, (
% 18.84/12.41 v116: $i > $o)).
% 18.84/12.41 tff(constB138_type, type, (
% 18.84/12.41 constB138: $i)).
% 18.84/12.41 tff(constB137_type, type, (
% 18.84/12.41 constB137: $i)).
% 18.84/12.41 tff(v106_type, type, (
% 18.84/12.41 v106: $i > $o)).
% 18.84/12.41 tff(v26_type, type, (
% 18.84/12.41 v26: $i > $o)).
% 18.84/12.41 tff(v110_type, type, (
% 18.84/12.41 v110: $i > $o)).
% 18.84/12.41 tff(v111_type, type, (
% 18.84/12.41 v111: $i > $o)).
% 18.84/12.41 tff(v115_type, type, (
% 18.84/12.41 v115: $i > $o)).
% 18.84/12.41 tff(constB136_type, type, (
% 18.84/12.41 constB136: $i)).
% 18.84/12.41 tff(constB135_type, type, (
% 18.84/12.41 constB135: $i)).
% 18.84/12.41 tff(v112_type, type, (
% 18.84/12.41 v112: $i > $o)).
% 18.84/12.41 tff(v145_type, type, (
% 18.84/12.41 v145: $i > $o)).
% 18.84/12.41 tff(constB134_type, type, (
% 18.84/12.41 constB134: $i)).
% 18.84/12.41 tff(constB133_type, type, (
% 18.84/12.41 constB133: $i)).
% 18.84/12.41 tff(v119_type, type, (
% 18.84/12.41 v119: $i > $o)).
% 18.84/12.41 tff(constB132_type, type, (
% 18.84/12.41 constB132: $i)).
% 18.84/12.41 tff(constB131_type, type, (
% 18.84/12.41 constB131: $i)).
% 18.84/12.41 tff(v118_type, type, (
% 18.84/12.41 v118: $i > $o)).
% 18.84/12.41 tff(constB130_type, type, (
% 18.84/12.41 constB130: $i)).
% 18.84/12.41 tff(constB129_type, type, (
% 18.84/12.41 constB129: $i)).
% 18.84/12.41 tff(v172_type, type, (
% 18.84/12.41 v172: $i > $o)).
% 18.84/12.41 tff(constB128_type, type, (
% 18.84/12.41 constB128: $i)).
% 18.84/12.41 tff(constB127_type, type, (
% 18.84/12.41 constB127: $i)).
% 18.84/12.41 tff(constB126_type, type, (
% 18.84/12.41 constB126: $i)).
% 18.84/12.41 tff(constB125_type, type, (
% 18.84/12.41 constB125: $i)).
% 18.84/12.41 tff(constB124_type, type, (
% 18.84/12.41 constB124: $i)).
% 18.84/12.41 tff(constB123_type, type, (
% 18.84/12.41 constB123: $i)).
% 18.84/12.41 tff(constB122_type, type, (
% 18.84/12.41 constB122: $i)).
% 18.84/12.41 tff(constB121_type, type, (
% 18.84/12.41 constB121: $i)).
% 18.84/12.41 tff(constB120_type, type, (
% 18.84/12.41 constB120: $i)).
% 18.84/12.41 tff(constB119_type, type, (
% 18.84/12.41 constB119: $i)).
% 18.84/12.41 tff(constB118_type, type, (
% 18.84/12.41 constB118: $i)).
% 18.84/12.41 tff(constB117_type, type, (
% 18.84/12.41 constB117: $i)).
% 18.84/12.41 tff(constB116_type, type, (
% 18.84/12.41 constB116: $i)).
% 18.84/12.41 tff(constB115_type, type, (
% 18.84/12.41 constB115: $i)).
% 18.84/12.41 tff(constB114_type, type, (
% 18.84/12.41 constB114: $i)).
% 18.84/12.41 tff(constB113_type, type, (
% 18.84/12.41 constB113: $i)).
% 18.84/12.41 tff(constB112_type, type, (
% 18.84/12.41 constB112: $i)).
% 18.84/12.41 tff(constB111_type, type, (
% 18.84/12.41 constB111: $i)).
% 18.84/12.41 tff(constB110_type, type, (
% 18.84/12.41 constB110: $i)).
% 18.84/12.41 tff(constB109_type, type, (
% 18.84/12.41 constB109: $i)).
% 18.84/12.41 tff(constB108_type, type, (
% 18.84/12.41 constB108: $i)).
% 18.84/12.41 tff(constB107_type, type, (
% 18.84/12.41 constB107: $i)).
% 18.84/12.41 tff(constB106_type, type, (
% 18.84/12.41 constB106: $i)).
% 18.84/12.41 tff(constB105_type, type, (
% 18.84/12.41 constB105: $i)).
% 18.84/12.41 tff(constB104_type, type, (
% 18.84/12.41 constB104: $i)).
% 18.84/12.41 tff(constB103_type, type, (
% 18.84/12.41 constB103: $i)).
% 18.84/12.41 tff(constB102_type, type, (
% 18.84/12.41 constB102: $i)).
% 18.84/12.41 tff(constB101_type, type, (
% 18.84/12.41 constB101: $i)).
% 18.84/12.41 tff(constB100_type, type, (
% 18.84/12.41 constB100: $i)).
% 18.84/12.41 tff(constB99_type, type, (
% 18.84/12.41 constB99: $i)).
% 18.84/12.41 tff(constB98_type, type, (
% 18.84/12.41 constB98: $i)).
% 18.84/12.41 tff(constB97_type, type, (
% 18.84/12.41 constB97: $i)).
% 18.84/12.41 tff(constB96_type, type, (
% 18.84/12.41 constB96: $i)).
% 18.84/12.41 tff(constB95_type, type, (
% 18.84/12.41 constB95: $i)).
% 18.84/12.41 tff(constB94_type, type, (
% 18.84/12.41 constB94: $i)).
% 18.84/12.41 tff(constB93_type, type, (
% 18.84/12.41 constB93: $i)).
% 18.84/12.41 tff(constB92_type, type, (
% 18.84/12.41 constB92: $i)).
% 18.84/12.41 tff(constB91_type, type, (
% 18.84/12.41 constB91: $i)).
% 18.84/12.41 tff(constB90_type, type, (
% 18.84/12.41 constB90: $i)).
% 18.84/12.41 tff(constB89_type, type, (
% 18.84/12.41 constB89: $i)).
% 18.84/12.41 tff(constB87_type, type, (
% 18.84/12.41 constB87: $i)).
% 18.84/12.41 tff(constB86_type, type, (
% 18.84/12.41 constB86: $i)).
% 18.84/12.41 tff(constB85_type, type, (
% 18.84/12.41 constB85: $i)).
% 18.84/12.41 tff(constB84_type, type, (
% 18.84/12.42 constB84: $i)).
% 18.84/12.42 tff(constB83_type, type, (
% 18.84/12.42 constB83: $i)).
% 18.84/12.42 tff(constB82_type, type, (
% 18.84/12.42 constB82: $i)).
% 18.84/12.42 tff(constB81_type, type, (
% 18.84/12.42 constB81: $i)).
% 18.84/12.42 tff(constB80_type, type, (
% 18.84/12.42 constB80: $i)).
% 18.84/12.42 tff(constB79_type, type, (
% 18.84/12.42 constB79: $i)).
% 18.84/12.42 tff(constB78_type, type, (
% 18.84/12.42 constB78: $i)).
% 18.84/12.42 tff(constB77_type, type, (
% 18.84/12.42 constB77: $i)).
% 18.84/12.42 tff(constB76_type, type, (
% 18.84/12.42 constB76: $i)).
% 18.84/12.42 tff(constB75_type, type, (
% 18.84/12.42 constB75: $i)).
% 18.84/12.42 tff(constB74_type, type, (
% 18.84/12.42 constB74: $i)).
% 18.84/12.42 tff(constB73_type, type, (
% 18.84/12.42 constB73: $i)).
% 18.84/12.42 tff(constB72_type, type, (
% 18.84/12.42 constB72: $i)).
% 18.84/12.42 tff(constB71_type, type, (
% 18.84/12.42 constB71: $i)).
% 18.84/12.42 tff(constB70_type, type, (
% 18.84/12.42 constB70: $i)).
% 18.84/12.42 tff(constB69_type, type, (
% 18.84/12.42 constB69: $i)).
% 18.84/12.42 tff(constB68_type, type, (
% 18.84/12.42 constB68: $i)).
% 18.84/12.42 tff(constB67_type, type, (
% 18.84/12.42 constB67: $i)).
% 18.84/12.42 tff(constB66_type, type, (
% 18.84/12.42 constB66: $i)).
% 18.84/12.42 tff(constB65_type, type, (
% 18.84/12.42 constB65: $i)).
% 18.84/12.42 tff(constB64_type, type, (
% 18.84/12.42 constB64: $i)).
% 18.84/12.42 tff(constB63_type, type, (
% 18.84/12.42 constB63: $i)).
% 18.84/12.42 tff(constB62_type, type, (
% 18.84/12.42 constB62: $i)).
% 18.84/12.42 tff(constB61_type, type, (
% 18.84/12.42 constB61: $i)).
% 18.84/12.42 tff(constB60_type, type, (
% 18.84/12.42 constB60: $i)).
% 18.84/12.42 tff(constB59_type, type, (
% 18.84/12.42 constB59: $i)).
% 18.84/12.42 tff(constB58_type, type, (
% 18.84/12.42 constB58: $i)).
% 18.84/12.42 tff(constB57_type, type, (
% 18.84/12.42 constB57: $i)).
% 18.84/12.42 tff(constB56_type, type, (
% 18.84/12.42 constB56: $i)).
% 18.84/12.42 tff(constB55_type, type, (
% 18.84/12.42 constB55: $i)).
% 18.84/12.42 tff(constB54_type, type, (
% 18.84/12.42 constB54: $i)).
% 18.84/12.42 tff(constB53_type, type, (
% 18.84/12.42 constB53: $i)).
% 18.84/12.42 tff(constB52_type, type, (
% 18.84/12.42 constB52: $i)).
% 18.84/12.42 tff(constB51_type, type, (
% 18.84/12.42 constB51: $i)).
% 18.84/12.42 tff(constB50_type, type, (
% 18.84/12.42 constB50: $i)).
% 18.84/12.42 tff(constB49_type, type, (
% 18.84/12.42 constB49: $i)).
% 18.84/12.42 tff(constB48_type, type, (
% 18.84/12.42 constB48: $i)).
% 18.84/12.42 tff(constB47_type, type, (
% 18.84/12.42 constB47: $i)).
% 18.84/12.42 tff(constB46_type, type, (
% 18.84/12.42 constB46: $i)).
% 18.84/12.42 tff(constB45_type, type, (
% 18.84/12.42 constB45: $i)).
% 18.84/12.42 tff(constB44_type, type, (
% 18.84/12.42 constB44: $i)).
% 18.84/12.42 tff(constB43_type, type, (
% 18.84/12.42 constB43: $i)).
% 18.84/12.42 tff(constB42_type, type, (
% 18.84/12.42 constB42: $i)).
% 18.84/12.42 tff(constB41_type, type, (
% 18.84/12.42 constB41: $i)).
% 18.84/12.42 tff(constB40_type, type, (
% 18.84/12.42 constB40: $i)).
% 18.84/12.42 tff(constB39_type, type, (
% 18.84/12.42 constB39: $i)).
% 18.84/12.42 tff(constB38_type, type, (
% 18.84/12.42 constB38: $i)).
% 18.84/12.42 tff(constB37_type, type, (
% 18.84/12.42 constB37: $i)).
% 18.84/12.42 tff(constB36_type, type, (
% 18.84/12.42 constB36: $i)).
% 18.84/12.42 tff(constB35_type, type, (
% 18.84/12.42 constB35: $i)).
% 18.84/12.42 tff(constB34_type, type, (
% 18.84/12.42 constB34: $i)).
% 18.84/12.42 tff(constB33_type, type, (
% 18.84/12.42 constB33: $i)).
% 18.84/12.42 tff(constB32_type, type, (
% 18.84/12.42 constB32: $i)).
% 18.84/12.42 tff(constB31_type, type, (
% 18.84/12.42 constB31: $i)).
% 18.84/12.42 tff(constB30_type, type, (
% 18.84/12.42 constB30: $i)).
% 18.84/12.42 tff(constB29_type, type, (
% 18.84/12.42 constB29: $i)).
% 18.84/12.42 tff(constB28_type, type, (
% 18.84/12.42 constB28: $i)).
% 18.84/12.42 tff(constB27_type, type, (
% 18.84/12.42 constB27: $i)).
% 18.84/12.42 tff(constB26_type, type, (
% 18.84/12.42 constB26: $i)).
% 18.84/12.42 tff(constB25_type, type, (
% 18.84/12.42 constB25: $i)).
% 18.84/12.42 tff(constB24_type, type, (
% 18.84/12.42 constB24: $i)).
% 18.84/12.42 tff(constB23_type, type, (
% 18.84/12.42 constB23: $i)).
% 18.84/12.42 tff(constB22_type, type, (
% 18.84/12.42 constB22: $i)).
% 18.84/12.42 tff(constB21_type, type, (
% 18.84/12.42 constB21: $i)).
% 18.84/12.42 tff(constB20_type, type, (
% 18.84/12.42 constB20: $i)).
% 18.84/12.42 tff(constB19_type, type, (
% 18.84/12.42 constB19: $i)).
% 18.84/12.42 tff(constB18_type, type, (
% 18.84/12.42 constB18: $i)).
% 18.84/12.42 tff(constB17_type, type, (
% 18.84/12.42 constB17: $i)).
% 18.84/12.42 tff(constB16_type, type, (
% 18.84/12.42 constB16: $i)).
% 18.84/12.42 tff(constB15_type, type, (
% 18.84/12.42 constB15: $i)).
% 18.84/12.42 tff(constB14_type, type, (
% 18.84/12.42 constB14: $i)).
% 18.84/12.42 tff(constB13_type, type, (
% 18.84/12.42 constB13: $i)).
% 18.84/12.42 tff(constB12_type, type, (
% 18.84/12.42 constB12: $i)).
% 18.84/12.42 tff(constB11_type, type, (
% 18.84/12.42 constB11: $i)).
% 18.84/12.42 tff(constB10_type, type, (
% 18.84/12.42 constB10: $i)).
% 18.84/12.42 tff(constB9_type, type, (
% 18.84/12.42 constB9: $i)).
% 18.84/12.42 tff(constB8_type, type, (
% 18.84/12.42 constB8: $i)).
% 18.84/12.42 tff(constB7_type, type, (
% 18.84/12.42 constB7: $i)).
% 18.84/12.42 tff(constB6_type, type, (
% 18.84/12.42 constB6: $i)).
% 18.84/12.42 tff(constB5_type, type, (
% 18.84/12.42 constB5: $i)).
% 18.84/12.42 tff(constB4_type, type, (
% 18.84/12.42 constB4: $i)).
% 18.84/12.42 tff(constB3_type, type, (
% 18.84/12.42 constB3: $i)).
% 18.84/12.42 tff(constB2_type, type, (
% 18.84/12.42 constB2: $i)).
% 18.84/12.42 tff(constB1_type, type, (
% 18.84/12.42 constB1: $i)).
% 18.84/12.42 tff(v113_type, type, (
% 18.84/12.42 v113: $i > $o)).
% 18.84/12.42 tff(v95_type, type, (
% 18.84/12.42 v95: $i > $o)).
% 18.84/12.42 tff(v1_type, type, (
% 18.84/12.42 v1: $i > $o)).
% 18.84/12.42 tff(nextState_type, type, (
% 18.84/12.42 nextState: ( $i * $i ) > $o)).
% 18.84/12.42 tff(constB0_type, type, (
% 18.84/12.42 constB0: $i)).
% 18.84/12.42 tff(v96_type, type, (
% 18.84/12.42 v96: $i > $o)).
% 18.84/12.42 tff(v98_type, type, (
% 18.84/12.42 v98: $i > $o)).
% 18.84/12.42 tff(v60_type, type, (
% 18.84/12.42 v60: $i > $o)).
% 18.84/12.42 tff(v66_type, type, (
% 18.84/12.42 v66: $i > $o)).
% 18.84/12.42 tff(v64_type, type, (
% 18.84/12.42 v64: $i > $o)).
% 18.84/12.42 tff(v9_type, type, (
% 18.84/12.42 v9: $i > $o)).
% 18.84/12.42 tff(v13_type, type, (
% 18.84/12.42 v13: $i > $o)).
% 18.84/12.42 tff(v19_type, type, (
% 18.84/12.42 v19: $i > $o)).
% 18.84/12.42 tff(v18_type, type, (
% 18.84/12.42 v18: $i > $o)).
% 18.84/12.42 tff(v22_type, type, (
% 18.84/12.42 v22: $i > $o)).
% 18.84/12.42 tff(v74_type, type, (
% 18.84/12.42 v74: $i > $o)).
% 18.84/12.42 tff(v72_type, type, (
% 18.84/12.42 v72: $i > $o)).
% 18.84/12.42 tff(v76_type, type, (
% 18.84/12.42 v76: $i > $o)).
% 18.84/12.42 tff(v80_type, type, (
% 18.84/12.42 v80: $i > $o)).
% 18.84/12.42 tff(v78_type, type, (
% 18.84/12.42 v78: $i > $o)).
% 18.84/12.42 tff(v71_type, type, (
% 18.84/12.42 v71: $i > $o)).
% 18.84/12.42 tff(constB88_type, type, (
% 18.84/12.42 constB88: $i)).
% 18.84/12.42 tff(constB153_type, type, (
% 18.84/12.42 constB153: $i)).
% 18.84/12.42 tff(constB152_type, type, (
% 18.84/12.42 constB152: $i)).
% 18.84/12.42 tff(constB151_type, type, (
% 18.84/12.42 constB151: $i)).
% 18.84/12.42 tff(constB150_type, type, (
% 18.84/12.42 constB150: $i)).
% 18.84/12.42 tff(constB149_type, type, (
% 18.84/12.42 constB149: $i)).
% 18.84/12.42 tff(constB148_type, type, (
% 18.84/12.42 constB148: $i)).
% 18.84/12.42 tff(constB147_type, type, (
% 18.84/12.42 constB147: $i)).
% 18.84/12.42 tff(constB146_type, type, (
% 18.84/12.42 constB146: $i)).
% 18.84/12.42 tff(constB145_type, type, (
% 18.84/12.42 constB145: $i)).
% 18.84/12.42 tff(constB144_type, type, (
% 18.84/12.42 constB144: $i)).
% 18.84/12.42 tff(constB188_type, type, (
% 18.84/12.42 constB188: $i)).
% 18.84/12.42 tff(constB187_type, type, (
% 18.84/12.42 constB187: $i)).
% 18.84/12.42 tff(constB186_type, type, (
% 18.84/12.42 constB186: $i)).
% 18.84/12.42 tff(constB185_type, type, (
% 18.84/12.42 constB185: $i)).
% 18.84/12.42 tff(constB184_type, type, (
% 18.84/12.42 constB184: $i)).
% 18.84/12.42 tff(constB183_type, type, (
% 18.84/12.42 constB183: $i)).
% 18.84/12.42 tff(constB182_type, type, (
% 18.84/12.42 constB182: $i)).
% 18.84/12.42 tff(constB181_type, type, (
% 18.84/12.42 constB181: $i)).
% 18.84/12.42 tff(constB180_type, type, (
% 18.84/12.42 constB180: $i)).
% 18.84/12.42 tff(constB178_type, type, (
% 18.84/12.42 constB178: $i)).
% 18.84/12.42 tff(constB177_type, type, (
% 18.84/12.42 constB177: $i)).
% 18.84/12.42 tff(constB176_type, type, (
% 18.84/12.42 constB176: $i)).
% 18.84/12.42 tff(constB175_type, type, (
% 18.84/12.42 constB175: $i)).
% 18.84/12.42 tff(constB174_type, type, (
% 18.84/12.42 constB174: $i)).
% 18.84/12.42 tff(constB173_type, type, (
% 18.84/12.42 constB173: $i)).
% 18.84/12.42 tff(constB172_type, type, (
% 18.84/12.42 constB172: $i)).
% 18.84/12.42 tff(constB171_type, type, (
% 18.84/12.42 constB171: $i)).
% 18.84/12.42 tff(constB170_type, type, (
% 18.84/12.42 constB170: $i)).
% 18.84/12.42 tff(constB169_type, type, (
% 18.84/12.42 constB169: $i)).
% 18.84/12.42 tff(constB168_type, type, (
% 18.84/12.42 constB168: $i)).
% 18.84/12.42 tff(constB167_type, type, (
% 18.84/12.42 constB167: $i)).
% 18.84/12.42 tff(constB166_type, type, (
% 18.84/12.42 constB166: $i)).
% 18.84/12.42 tff(constB164_type, type, (
% 18.84/12.42 constB164: $i)).
% 18.84/12.42 tff(constB163_type, type, (
% 18.84/12.42 constB163: $i)).
% 18.84/12.42 tff(constB162_type, type, (
% 18.84/12.42 constB162: $i)).
% 18.84/12.42 tff(constB161_type, type, (
% 18.84/12.42 constB161: $i)).
% 18.84/12.42 tff(constB160_type, type, (
% 18.84/12.42 constB160: $i)).
% 18.84/12.42 tff(constB159_type, type, (
% 18.84/12.42 constB159: $i)).
% 18.84/12.42 tff(constB158_type, type, (
% 18.84/12.42 constB158: $i)).
% 18.84/12.42 tff(constB157_type, type, (
% 18.84/12.42 constB157: $i)).
% 18.84/12.42 tff(constB156_type, type, (
% 18.84/12.42 constB156: $i)).
% 18.84/12.42 tff(constB155_type, type, (
% 18.84/12.42 constB155: $i)).
% 18.84/12.42 tff(constB154_type, type, (
% 18.84/12.42 constB154: $i)).
% 18.84/12.42 tff(v162_type, type, (
% 18.84/12.42 v162: $i > $o)).
% 18.84/12.42 tff(v168_type, type, (
% 18.84/12.42 v168: $i > $o)).
% 18.84/12.42 tff(v160_type, type, (
% 18.84/12.42 v160: $i > $o)).
% 18.84/12.42 tff(v163_type, type, (
% 18.84/12.42 v163: $i > $o)).
% 18.84/12.42 tff(v164_type, type, (
% 18.84/12.42 v164: $i > $o)).
% 18.84/12.42 tff(v152_type, type, (
% 18.84/12.42 v152: $i > $o)).
% 18.84/12.42 tff(v150_type, type, (
% 18.84/12.42 v150: $i > $o)).
% 18.84/12.42 tff(v155_type, type, (
% 18.84/12.42 v155: $i > $o)).
% 18.84/12.42 tff(v153_type, type, (
% 18.84/12.42 v153: $i > $o)).
% 18.84/12.42 tff(v137_type, type, (
% 18.84/12.42 v137: $i > $o)).
% 18.84/12.42 tff(v135_type, type, (
% 18.84/12.42 v135: $i > $o)).
% 18.84/12.42 tff(v138_type, type, (
% 18.84/12.42 v138: $i > $o)).
% 18.84/12.42 tff(v142_type, type, (
% 18.84/12.42 v142: $i > $o)).
% 18.84/12.42 tff(v144_type, type, (
% 18.84/12.42 v144: $i > $o)).
% 18.84/12.42 tff(v140_type, type, (
% 18.84/12.42 v140: $i > $o)).
% 18.84/12.42 tff(v141_type, type, (
% 18.84/12.42 v141: $i > $o)).
% 18.84/12.42 tff(v154_type, type, (
% 18.84/12.42 v154: $i > $o)).
% 18.84/12.42 tff(v170_type, type, (
% 18.84/12.42 v170: $i > $o)).
% 18.84/12.42 tff(v169_type, type, (
% 18.84/12.42 v169: $i > $o)).
% 18.84/12.42 tff(constB195_type, type, (
% 18.84/12.42 constB195: $i)).
% 18.84/12.42 tff(constB194_type, type, (
% 18.84/12.42 constB194: $i)).
% 18.84/12.42 tff(constB193_type, type, (
% 18.84/12.42 constB193: $i)).
% 18.84/12.42 tff(constB192_type, type, (
% 18.84/12.42 constB192: $i)).
% 18.84/12.42 tff(constB191_type, type, (
% 18.84/12.42 constB191: $i)).
% 18.84/12.42 tff(constB190_type, type, (
% 18.84/12.42 constB190: $i)).
% 18.84/12.42 tff(constB198_type, type, (
% 18.84/12.42 constB198: $i)).
% 18.84/12.42 tff(constB197_type, type, (
% 18.84/12.42 constB197: $i)).
% 18.84/12.42 tff(constB196_type, type, (
% 18.84/12.42 constB196: $i)).
% 18.84/12.42 tff(constB199_type, type, (
% 18.84/12.42 constB199: $i)).
% 18.84/12.42 tff(constB200_type, type, (
% 18.84/12.42 constB200: $i)).
% 18.84/12.42 tff(reachableState_type, type, (
% 18.84/12.42 reachableState: $i > $o)).
% 18.84/12.42 tff(1,assumption,(constB189 = sK0_VarCurr), introduced(assumption)).
% 18.84/12.42 tff(2,plain,
% 18.84/12.42 (v84(constB189, bitIndex0) <=> v84(sK0_VarCurr, bitIndex0)),
% 18.84/12.42 inference(monotonicity,[status(thm)],[1])).
% 18.84/12.42 tff(3,plain,
% 18.84/12.42 (v84(sK0_VarCurr, bitIndex0) <=> v84(constB189, bitIndex0)),
% 18.84/12.42 inference(symmetry,[status(thm)],[2])).
% 18.84/12.42 tff(4,assumption,(~v84(sK0_VarCurr, bitIndex0)), introduced(assumption)).
% 18.84/12.42 tff(5,assumption,(~v84(sK0_VarCurr, bitIndex2)), introduced(assumption)).
% 18.84/12.42 tff(6,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 18.84/12.42 tff(7,plain,
% 18.84/12.42 (v84(constB143, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 18.84/12.42 inference(monotonicity,[status(thm)],[6])).
% 18.84/12.42 tff(8,plain,
% 18.84/12.42 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB143, bitIndex2)),
% 18.84/12.42 inference(symmetry,[status(thm)],[7])).
% 18.84/12.42 tff(9,plain,
% 18.84/12.42 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB143, bitIndex2))),
% 18.84/12.42 inference(monotonicity,[status(thm)],[8])).
% 18.84/12.42 tff(10,plain,
% 18.84/12.42 (~v84(constB143, bitIndex2)),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[5, 9])).
% 18.84/12.42 tff(11,assumption,(v26(constB137)), introduced(assumption)).
% 18.84/12.42 tff(12,plain,
% 18.84/12.42 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(13,plain,
% 18.84/12.42 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[12])).
% 18.84/12.42 tff(14,plain,
% 18.84/12.42 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(15,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 18.84/12.42 tff(16,plain,
% 18.84/12.42 (![VarCurr: $i] : (~v26(VarCurr))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[15, 14])).
% 18.84/12.42 tff(17,plain,(
% 18.84/12.42 ![VarCurr: $i] : (~v26(VarCurr))),
% 18.84/12.42 inference(skolemize,[status(sab)],[16])).
% 18.84/12.42 tff(18,plain,
% 18.84/12.42 (![VarCurr: $i] : (~v26(VarCurr))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[17, 13])).
% 18.84/12.42 tff(19,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(20,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[19, 18, 11])).
% 18.84/12.42 tff(21,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(22,assumption,(v26(constB135)), introduced(assumption)).
% 18.84/12.42 tff(23,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(24,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[23, 18, 22])).
% 18.84/12.42 tff(25,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(26,assumption,(v26(constB131)), introduced(assumption)).
% 18.84/12.42 tff(27,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(28,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[27, 18, 26])).
% 18.84/12.42 tff(29,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(30,assumption,(v26(constB37)), introduced(assumption)).
% 18.84/12.42 tff(31,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(32,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[31, 18, 30])).
% 18.84/12.42 tff(33,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(34,assumption,(v26(constB35)), introduced(assumption)).
% 18.84/12.42 tff(35,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(36,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[35, 18, 34])).
% 18.84/12.42 tff(37,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(38,assumption,(v26(constB33)), introduced(assumption)).
% 18.84/12.42 tff(39,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(40,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[39, 18, 38])).
% 18.84/12.42 tff(41,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(42,assumption,(v26(constB31)), introduced(assumption)).
% 18.84/12.42 tff(43,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(44,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[43, 18, 42])).
% 18.84/12.42 tff(45,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(46,assumption,(v26(constB13)), introduced(assumption)).
% 18.84/12.42 tff(47,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(48,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[47, 18, 46])).
% 18.84/12.42 tff(49,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(50,assumption,(v26(constB11)), introduced(assumption)).
% 18.84/12.42 tff(51,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(52,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[51, 18, 50])).
% 18.84/12.42 tff(53,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(54,assumption,(v26(constB9)), introduced(assumption)).
% 18.84/12.42 tff(55,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(56,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[55, 18, 54])).
% 18.84/12.42 tff(57,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(58,assumption,(v26(constB7)), introduced(assumption)).
% 18.84/12.42 tff(59,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(60,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[59, 18, 58])).
% 18.84/12.42 tff(61,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(62,assumption,(v26(constB5)), introduced(assumption)).
% 18.84/12.42 tff(63,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(64,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[63, 18, 62])).
% 18.84/12.42 tff(65,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(66,assumption,(v26(constB3)), introduced(assumption)).
% 18.84/12.42 tff(67,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(68,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[67, 18, 66])).
% 18.84/12.42 tff(69,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(70,assumption,(v26(constB1)), introduced(assumption)).
% 18.84/12.42 tff(71,plain,
% 18.84/12.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(72,plain,
% 18.84/12.42 ($false),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[71, 18, 70])).
% 18.84/12.42 tff(73,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.42 tff(74,plain,
% 18.84/12.42 ((~v1(constB1)) <=> (~v1(constB1))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(75,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 18.84/12.42 tff(76,plain,
% 18.84/12.42 (~v1(constB1)),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[75, 74])).
% 18.84/12.42 tff(77,plain,
% 18.84/12.42 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(78,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 18.84/12.42 tff(79,plain,
% 18.84/12.42 (nextState(constB0, constB1)),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[78, 77])).
% 18.84/12.42 tff(80,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(81,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[80])).
% 18.84/12.42 tff(82,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(83,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(84,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[83])).
% 18.84/12.42 tff(85,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 18.84/12.42 tff(86,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[85, 84])).
% 18.84/12.42 tff(87,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[86, 82])).
% 18.84/12.42 tff(88,plain,(
% 18.84/12.42 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 18.84/12.42 inference(skolemize,[status(sab)],[87])).
% 18.84/12.42 tff(89,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[88, 81])).
% 18.84/12.42 tff(90,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(91,plain,
% 18.84/12.42 (((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(92,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1))))),
% 18.84/12.42 inference(monotonicity,[status(thm)],[91])).
% 18.84/12.42 tff(93,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 18.84/12.42 inference(transitivity,[status(thm)],[92, 90])).
% 18.84/12.42 tff(94,plain,
% 18.84/12.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(95,plain,
% 18.84/12.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[94, 93])).
% 18.84/12.42 tff(96,plain,
% 18.84/12.42 (~v95(constB1)),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[95, 89, 79, 76])).
% 18.84/12.42 tff(97,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(98,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[97])).
% 18.84/12.42 tff(99,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(100,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : rewrite(((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(101,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[100])).
% 18.84/12.42 tff(102,axiom,(![VarNext: $i, VarCurr: $i] : ((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 18.84/12.42 tff(103,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[102, 101])).
% 18.84/12.42 tff(104,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[103, 99])).
% 18.84/12.42 tff(105,plain,(
% 18.84/12.42 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 18.84/12.42 inference(skolemize,[status(sab)],[104])).
% 18.84/12.42 tff(106,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[105, 98])).
% 18.84/12.42 tff(107,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(108,plain,
% 18.84/12.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(109,plain,
% 18.84/12.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[108, 107])).
% 18.84/12.42 tff(110,plain,
% 18.84/12.42 (v95(constB1) | (~v94(constB1))),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[109, 106, 79])).
% 18.84/12.42 tff(111,plain,
% 18.84/12.42 (~v94(constB1)),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[110, 96])).
% 18.84/12.42 tff(112,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(113,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[112])).
% 18.84/12.42 tff(114,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(115,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) <=> (v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2)))), (((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) <=> ((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)))), rewrite(((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))), (((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))))), ((((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))), ((((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(116,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[115])).
% 18.84/12.42 tff(117,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex2) | (~v84(VarNext, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 18.84/12.42 tff(118,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[117, 116])).
% 18.84/12.42 tff(119,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[118, 114])).
% 18.84/12.42 tff(120,plain,(
% 18.84/12.42 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 18.84/12.42 inference(skolemize,[status(sab)],[119])).
% 18.84/12.42 tff(121,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[120, 113])).
% 18.84/12.42 tff(122,plain,
% 18.84/12.42 ((~v84(constB0, bitIndex2)) <=> (~v84(constB0, bitIndex2))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(123,axiom,(~v84(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 18.84/12.42 tff(124,plain,
% 18.84/12.42 (~v84(constB0, bitIndex2)),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[123, 122])).
% 18.84/12.42 tff(125,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(126,plain,
% 18.84/12.42 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2))) <=> (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(127,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2))))),
% 18.84/12.42 inference(monotonicity,[status(thm)],[126])).
% 18.84/12.42 tff(128,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 18.84/12.42 inference(transitivity,[status(thm)],[127, 125])).
% 18.84/12.42 tff(129,plain,
% 18.84/12.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(130,plain,
% 18.84/12.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[129, 128])).
% 18.84/12.42 tff(131,plain,
% 18.84/12.42 (v94(constB1) | (~v84(constB1, bitIndex2))),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[130, 124, 121, 79])).
% 18.84/12.42 tff(132,plain,
% 18.84/12.42 (~v84(constB1, bitIndex2)),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[131, 111])).
% 18.84/12.42 tff(133,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(134,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[133])).
% 18.84/12.42 tff(135,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(136,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) <=> (v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1)))), (((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) <=> ((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)))), rewrite(((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))), (((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))))), ((((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))), ((((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(137,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[136])).
% 18.84/12.42 tff(138,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex1) | (~v84(VarNext, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 18.84/12.42 tff(139,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[138, 137])).
% 18.84/12.42 tff(140,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[139, 135])).
% 18.84/12.42 tff(141,plain,(
% 18.84/12.42 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 18.84/12.42 inference(skolemize,[status(sab)],[140])).
% 18.84/12.42 tff(142,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[141, 134])).
% 18.84/12.42 tff(143,plain,
% 18.84/12.42 ((~v84(constB0, bitIndex1)) <=> (~v84(constB0, bitIndex1))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(144,axiom,(~v84(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 18.84/12.42 tff(145,plain,
% 18.84/12.42 (~v84(constB0, bitIndex1)),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[144, 143])).
% 18.84/12.42 tff(146,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(147,plain,
% 18.84/12.42 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1))) <=> (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(148,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1))))),
% 18.84/12.42 inference(monotonicity,[status(thm)],[147])).
% 18.84/12.42 tff(149,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 18.84/12.42 inference(transitivity,[status(thm)],[148, 146])).
% 18.84/12.42 tff(150,plain,
% 18.84/12.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 18.84/12.42 inference(quant_inst,[status(thm)],[])).
% 18.84/12.42 tff(151,plain,
% 18.84/12.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[150, 149])).
% 18.84/12.42 tff(152,plain,
% 18.84/12.42 (v94(constB1) | (~v84(constB1, bitIndex1))),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[151, 145, 142, 79])).
% 18.84/12.42 tff(153,plain,
% 18.84/12.42 (~v84(constB1, bitIndex1)),
% 18.84/12.42 inference(unit_resolution,[status(thm)],[152, 111])).
% 18.84/12.42 tff(154,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(155,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[154])).
% 18.84/12.42 tff(156,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(157,plain,
% 18.84/12.42 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0)))), (((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) <=> ((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)))), rewrite(((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))), (((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) <=> (v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))))), ((((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))), ((((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))))),
% 18.84/12.42 inference(bind,[status(th)],[])).
% 18.84/12.42 tff(158,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 18.84/12.42 inference(quant_intro,[status(thm)],[157])).
% 18.84/12.42 tff(159,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarCurr, bitIndex0) | (~v84(VarNext, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 18.84/12.42 tff(160,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[159, 158])).
% 18.84/12.42 tff(161,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[160, 156])).
% 18.84/12.42 tff(162,plain,(
% 18.84/12.42 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 18.84/12.42 inference(skolemize,[status(sab)],[161])).
% 18.84/12.42 tff(163,plain,
% 18.84/12.42 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[162, 155])).
% 18.84/12.42 tff(164,plain,
% 18.84/12.42 ((~v84(constB0, bitIndex0)) <=> (~v84(constB0, bitIndex0))),
% 18.84/12.42 inference(rewrite,[status(thm)],[])).
% 18.84/12.42 tff(165,axiom,(~v84(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 18.84/12.42 tff(166,plain,
% 18.84/12.42 (~v84(constB0, bitIndex0)),
% 18.84/12.42 inference(modus_ponens,[status(thm)],[165, 164])).
% 18.84/12.42 tff(167,plain,
% 18.84/12.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(168,plain,
% 18.84/12.43 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0))) <=> (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(169,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0))))),
% 18.84/12.43 inference(monotonicity,[status(thm)],[168])).
% 18.84/12.43 tff(170,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 18.84/12.43 inference(transitivity,[status(thm)],[169, 167])).
% 18.84/12.43 tff(171,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(172,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[171, 170])).
% 18.84/12.43 tff(173,plain,
% 18.84/12.43 (v94(constB1) | (~v84(constB1, bitIndex0))),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[172, 166, 163, 79])).
% 18.84/12.43 tff(174,plain,
% 18.84/12.43 (~v84(constB1, bitIndex0)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[173, 111])).
% 18.84/12.43 tff(175,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(176,plain,
% 18.84/12.43 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[175])).
% 18.84/12.43 tff(177,plain,
% 18.84/12.43 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(178,plain,
% 18.84/12.43 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ((v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)))), rewrite(((v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(179,plain,
% 18.84/12.43 (![VarCurr: $i] : (((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[178])).
% 18.84/12.43 tff(180,axiom,(![VarCurr: $i] : (((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 18.84/12.43 tff(181,plain,
% 18.84/12.43 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[180, 179])).
% 18.84/12.43 tff(182,plain,
% 18.84/12.43 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[181, 177])).
% 18.84/12.43 tff(183,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 18.84/12.43 inference(skolemize,[status(sab)],[182])).
% 18.84/12.43 tff(184,plain,
% 18.84/12.43 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[183, 176])).
% 18.84/12.43 tff(185,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB1) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB1) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(186,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB1) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(187,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB1) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2)),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[186, 185])).
% 18.84/12.43 tff(188,plain,
% 18.84/12.43 (v113(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[187, 184, 174, 153, 132])).
% 18.84/12.43 tff(189,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v112(VarCurr) | (~v113(VarCurr))) <=> (v112(VarCurr) | (~v113(VarCurr))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(190,plain,
% 18.84/12.43 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[189])).
% 18.84/12.43 tff(191,plain,
% 18.84/12.43 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(192,axiom,(![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_2')).
% 18.84/12.43 tff(193,plain,
% 18.84/12.43 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[192, 191])).
% 18.84/12.43 tff(194,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[193])).
% 18.84/12.43 tff(195,plain,
% 18.84/12.43 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[194, 190])).
% 18.84/12.43 tff(196,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB1) | (~v113(constB1)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB1) | (~v113(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(197,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB1) | (~v113(constB1)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(198,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB1) | (~v113(constB1))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[197, 196])).
% 18.84/12.43 tff(199,plain,
% 18.84/12.43 (v112(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[198, 195, 188])).
% 18.84/12.43 tff(200,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v111(VarCurr) | (~v112(VarCurr))) <=> (v111(VarCurr) | (~v112(VarCurr))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(201,plain,
% 18.84/12.43 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[200])).
% 18.84/12.43 tff(202,plain,
% 18.84/12.43 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(203,axiom,(![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 18.84/12.43 tff(204,plain,
% 18.84/12.43 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[203, 202])).
% 18.84/12.43 tff(205,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[204])).
% 18.84/12.43 tff(206,plain,
% 18.84/12.43 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[205, 201])).
% 18.84/12.43 tff(207,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB1) | (~v112(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(208,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB1) | (~v112(constB1)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(209,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB1) | (~v112(constB1))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[208, 207])).
% 18.84/12.43 tff(210,plain,
% 18.84/12.43 (v111(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[209, 206, 199])).
% 18.84/12.43 tff(211,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v110(VarCurr) | (~v111(VarCurr))) <=> (v110(VarCurr) | (~v111(VarCurr))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(212,plain,
% 18.84/12.43 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[211])).
% 18.84/12.43 tff(213,plain,
% 18.84/12.43 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(214,axiom,(![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 18.84/12.43 tff(215,plain,
% 18.84/12.43 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[214, 213])).
% 18.84/12.43 tff(216,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[215])).
% 18.84/12.43 tff(217,plain,
% 18.84/12.43 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[216, 212])).
% 18.84/12.43 tff(218,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB1) | (~v111(constB1)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB1) | (~v111(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(219,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB1) | (~v111(constB1)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(220,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB1) | (~v111(constB1))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[219, 218])).
% 18.84/12.43 tff(221,plain,
% 18.84/12.43 (v110(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[220, 217, 210])).
% 18.84/12.43 tff(222,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v109(VarCurr) | (~v110(VarCurr))) <=> (v109(VarCurr) | (~v110(VarCurr))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(223,plain,
% 18.84/12.43 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[222])).
% 18.84/12.43 tff(224,plain,
% 18.84/12.43 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(225,axiom,(![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_2')).
% 18.84/12.43 tff(226,plain,
% 18.84/12.43 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[225, 224])).
% 18.84/12.43 tff(227,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[226])).
% 18.84/12.43 tff(228,plain,
% 18.84/12.43 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[227, 223])).
% 18.84/12.43 tff(229,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB1) | (~v110(constB1)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB1) | (~v110(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(230,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB1) | (~v110(constB1)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(231,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB1) | (~v110(constB1))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[230, 229])).
% 18.84/12.43 tff(232,plain,
% 18.84/12.43 (v109(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[231, 228, 221])).
% 18.84/12.43 tff(233,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v109(VarCurr))) <=> (v108(VarCurr) | (~v109(VarCurr))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(234,plain,
% 18.84/12.43 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[233])).
% 18.84/12.43 tff(235,plain,
% 18.84/12.43 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(236,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 18.84/12.43 tff(237,plain,
% 18.84/12.43 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[236, 235])).
% 18.84/12.43 tff(238,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[237])).
% 18.84/12.43 tff(239,plain,
% 18.84/12.43 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[238, 234])).
% 18.84/12.43 tff(240,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB1) | (~v109(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB1) | (~v109(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(241,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB1) | (~v109(constB1)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(242,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB1) | (~v109(constB1))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[241, 240])).
% 18.84/12.43 tff(243,plain,
% 18.84/12.43 (v108(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[242, 239, 232])).
% 18.84/12.43 tff(244,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v107(VarCurr) | (~v108(VarCurr))) <=> (v107(VarCurr) | (~v108(VarCurr))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(245,plain,
% 18.84/12.43 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[244])).
% 18.84/12.43 tff(246,plain,
% 18.84/12.43 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(247,axiom,(![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 18.84/12.43 tff(248,plain,
% 18.84/12.43 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[247, 246])).
% 18.84/12.43 tff(249,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[248])).
% 18.84/12.43 tff(250,plain,
% 18.84/12.43 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[249, 245])).
% 18.84/12.43 tff(251,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB1) | (~v108(constB1)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB1) | (~v108(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(252,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB1) | (~v108(constB1)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(253,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB1) | (~v108(constB1))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[252, 251])).
% 18.84/12.43 tff(254,plain,
% 18.84/12.43 (v107(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[253, 250, 243])).
% 18.84/12.43 tff(255,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(256,plain,
% 18.84/12.43 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[255])).
% 18.84/12.43 tff(257,plain,
% 18.84/12.43 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(258,plain,
% 18.84/12.43 (^[VarCurr: $i] : rewrite(((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(259,plain,
% 18.84/12.43 (![VarCurr: $i] : ((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[258])).
% 18.84/12.43 tff(260,axiom,(![VarCurr: $i] : ((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 18.84/12.43 tff(261,plain,
% 18.84/12.43 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[260, 259])).
% 18.84/12.43 tff(262,plain,
% 18.84/12.43 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[261, 257])).
% 18.84/12.43 tff(263,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 18.84/12.43 inference(skolemize,[status(sab)],[262])).
% 18.84/12.43 tff(264,plain,
% 18.84/12.43 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[263, 256])).
% 18.84/12.43 tff(265,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB1) | (~v107(constB1)) | v106(constB1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB1) | (~v107(constB1)) | v106(constB1))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(266,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB1) | (~v107(constB1)) | v106(constB1))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(267,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB1) | (~v107(constB1)) | v106(constB1)),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[266, 265])).
% 18.84/12.43 tff(268,plain,
% 18.84/12.43 (v26(constB1) | v106(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[267, 264, 254])).
% 18.84/12.43 tff(269,plain,
% 18.84/12.43 (v106(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[268, 73])).
% 18.84/12.43 tff(270,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v102(VarCurr) | (~v106(VarCurr))) <=> (v102(VarCurr) | (~v106(VarCurr))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(271,plain,
% 18.84/12.43 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[270])).
% 18.84/12.43 tff(272,plain,
% 18.84/12.43 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(273,axiom,(![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 18.84/12.43 tff(274,plain,
% 18.84/12.43 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[273, 272])).
% 18.84/12.43 tff(275,plain,(
% 18.84/12.43 ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[274])).
% 18.84/12.43 tff(276,plain,
% 18.84/12.43 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[275, 271])).
% 18.84/12.43 tff(277,plain,
% 18.84/12.43 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB1) | (~v106(constB1)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB1) | (~v106(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(278,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB1) | (~v106(constB1)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(279,plain,
% 18.84/12.43 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB1) | (~v106(constB1))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[278, 277])).
% 18.84/12.43 tff(280,plain,
% 18.84/12.43 (v102(constB1)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[279, 276, 269])).
% 18.84/12.43 tff(281,plain,
% 18.84/12.43 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(282,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 18.84/12.43 tff(283,plain,
% 18.84/12.43 (nextState(constB1, constB2)),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[282, 281])).
% 18.84/12.43 tff(284,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(285,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[284])).
% 18.84/12.43 tff(286,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(287,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : rewrite(((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(288,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[287])).
% 18.84/12.43 tff(289,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 18.84/12.43 tff(290,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[289, 288])).
% 18.84/12.43 tff(291,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[290, 286])).
% 18.84/12.43 tff(292,plain,(
% 18.84/12.43 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 18.84/12.43 inference(skolemize,[status(sab)],[291])).
% 18.84/12.43 tff(293,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[292, 285])).
% 18.84/12.43 tff(294,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(295,plain,
% 18.84/12.43 (((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2)) <=> ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(296,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1))))),
% 18.84/12.43 inference(monotonicity,[status(thm)],[295])).
% 18.84/12.43 tff(297,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 18.84/12.43 inference(transitivity,[status(thm)],[296, 294])).
% 18.84/12.43 tff(298,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(299,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[298, 297])).
% 18.84/12.43 tff(300,plain,
% 18.84/12.43 (v104(constB2) | (~v102(constB1))),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[299, 293, 283])).
% 18.84/12.43 tff(301,plain,
% 18.84/12.43 (v104(constB2)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[300, 280])).
% 18.84/12.43 tff(302,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(303,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[302])).
% 18.84/12.43 tff(304,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(305,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(306,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[305])).
% 18.84/12.43 tff(307,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 18.84/12.43 tff(308,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[307, 306])).
% 18.84/12.43 tff(309,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[308, 304])).
% 18.84/12.43 tff(310,plain,(
% 18.84/12.43 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[309])).
% 18.84/12.43 tff(311,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[310, 303])).
% 18.84/12.43 tff(312,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(313,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(314,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[313, 312])).
% 18.84/12.43 tff(315,plain,
% 18.84/12.43 (~v98(constB2)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[314, 311, 283, 76])).
% 18.84/12.43 tff(316,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(317,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[316])).
% 18.84/12.43 tff(318,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(319,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v98(VarNext) | v96(VarNext)) <=> (v96(VarNext) | v98(VarNext))), (((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v96(VarNext) | v98(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v96(VarNext) | v98(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))), (((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(320,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[319])).
% 18.84/12.43 tff(321,axiom,(![VarNext: $i, VarCurr: $i] : ((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 18.84/12.43 tff(322,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[321, 320])).
% 18.84/12.43 tff(323,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[322, 318])).
% 18.84/12.43 tff(324,plain,(
% 18.84/12.43 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 18.84/12.43 inference(skolemize,[status(sab)],[323])).
% 18.84/12.43 tff(325,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[324, 317])).
% 18.84/12.43 tff(326,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(327,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(328,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB1, constB2)) | v96(constB2) | v98(constB2)),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[327, 326])).
% 18.84/12.43 tff(329,plain,
% 18.84/12.43 (v96(constB2) | v98(constB2)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[328, 325, 283])).
% 18.84/12.43 tff(330,plain,
% 18.84/12.43 (v96(constB2)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[329, 315])).
% 18.84/12.43 tff(331,plain,
% 18.84/12.43 (v1(constB2) <=> v1(constB2)),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(332,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 18.84/12.43 tff(333,plain,
% 18.84/12.43 (v1(constB2)),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[332, 331])).
% 18.84/12.43 tff(334,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(335,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[334])).
% 18.84/12.43 tff(336,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(337,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) <=> (v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))), ((((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))), ((((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(338,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : (((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[337])).
% 18.84/12.43 tff(339,axiom,(![VarNext: $i, VarCurr: $i] : (((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 18.84/12.43 tff(340,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[339, 338])).
% 18.84/12.43 tff(341,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[340, 336])).
% 18.84/12.43 tff(342,plain,(
% 18.84/12.43 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[341])).
% 18.84/12.43 tff(343,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[342, 335])).
% 18.84/12.43 tff(344,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(345,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(346,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[345, 344])).
% 18.84/12.43 tff(347,plain,
% 18.84/12.43 (v95(constB2) | (~v96(constB2))),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[346, 343, 283, 333])).
% 18.84/12.43 tff(348,plain,
% 18.84/12.43 (v95(constB2)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[347, 330])).
% 18.84/12.43 tff(349,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(350,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[349])).
% 18.84/12.43 tff(351,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(352,plain,
% 18.84/12.43 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) <=> ((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))), ((((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))), ((((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(353,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : (((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[352])).
% 18.84/12.43 tff(354,axiom,(![VarNext: $i, VarCurr: $i] : (((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 18.84/12.43 tff(355,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[354, 353])).
% 18.84/12.43 tff(356,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[355, 351])).
% 18.84/12.43 tff(357,plain,(
% 18.84/12.43 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 18.84/12.43 inference(skolemize,[status(sab)],[356])).
% 18.84/12.43 tff(358,plain,
% 18.84/12.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[357, 350])).
% 18.84/12.43 tff(359,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(360,plain,
% 18.84/12.43 (((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2)) <=> ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(361,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2))))),
% 18.84/12.43 inference(monotonicity,[status(thm)],[360])).
% 18.84/12.43 tff(362,plain,
% 18.84/12.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 18.84/12.43 inference(transitivity,[status(thm)],[361, 359])).
% 18.84/12.43 tff(363,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(364,plain,
% 18.84/12.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[363, 362])).
% 18.84/12.43 tff(365,plain,
% 18.84/12.43 (v94(constB2) | (~v95(constB2)) | (~v104(constB2))),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[364, 358, 283])).
% 18.84/12.43 tff(366,plain,
% 18.84/12.43 (v94(constB2) | (~v104(constB2))),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[365, 348])).
% 18.84/12.43 tff(367,plain,
% 18.84/12.43 (v94(constB2)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[366, 301])).
% 18.84/12.43 tff(368,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(369,plain,
% 18.84/12.43 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[368])).
% 18.84/12.43 tff(370,plain,
% 18.84/12.43 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(371,plain,
% 18.84/12.43 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex2)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(372,plain,
% 18.84/12.43 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[371])).
% 18.84/12.43 tff(373,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_3')).
% 18.84/12.43 tff(374,plain,
% 18.84/12.43 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[373, 372])).
% 18.84/12.43 tff(375,plain,
% 18.84/12.43 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[374, 370])).
% 18.84/12.43 tff(376,plain,(
% 18.84/12.43 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(skolemize,[status(sab)],[375])).
% 18.84/12.43 tff(377,plain,
% 18.84/12.43 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[376, 369])).
% 18.84/12.43 tff(378,plain,
% 18.84/12.43 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB1)) | (~v124(constB1, bitIndex2)))),
% 18.84/12.43 inference(rewrite,[status(thm)],[])).
% 18.84/12.43 tff(379,plain,
% 18.84/12.43 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex2)))),
% 18.84/12.43 inference(quant_inst,[status(thm)],[])).
% 18.84/12.43 tff(380,plain,
% 18.84/12.43 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB1)) | (~v124(constB1, bitIndex2))),
% 18.84/12.43 inference(modus_ponens,[status(thm)],[379, 378])).
% 18.84/12.43 tff(381,plain,
% 18.84/12.43 (~v124(constB1, bitIndex2)),
% 18.84/12.43 inference(unit_resolution,[status(thm)],[380, 377, 188])).
% 18.84/12.43 tff(382,plain,
% 18.84/12.43 (^[VarCurr: $i] : refl((v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))))),
% 18.84/12.43 inference(bind,[status(th)],[])).
% 18.84/12.43 tff(383,plain,
% 18.84/12.43 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 18.84/12.43 inference(quant_intro,[status(thm)],[382])).
% 18.84/12.44 tff(384,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(385,plain,
% 18.84/12.44 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> (v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))), (((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)))), rewrite(((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))), (((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(386,plain,
% 18.84/12.44 (![VarCurr: $i] : ((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[385])).
% 18.84/12.44 tff(387,axiom,(![VarCurr: $i] : ((v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 18.84/12.44 tff(388,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[387, 386])).
% 18.84/12.44 tff(389,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[388, 384])).
% 18.84/12.44 tff(390,plain,(
% 18.84/12.44 ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 18.84/12.44 inference(skolemize,[status(sab)],[389])).
% 18.84/12.44 tff(391,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[390, 383])).
% 18.84/12.44 tff(392,plain,
% 18.84/12.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(393,plain,
% 18.84/12.44 ((v26(constB1) | v124(constB1, bitIndex2) | (~v121(constB1, bitIndex2))) <=> ((~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(394,plain,
% 18.84/12.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB1) | v124(constB1, bitIndex2) | (~v121(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2)))),
% 18.84/12.44 inference(monotonicity,[status(thm)],[393])).
% 18.84/12.44 tff(395,plain,
% 18.84/12.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB1) | v124(constB1, bitIndex2) | (~v121(constB1, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2))),
% 18.84/12.44 inference(transitivity,[status(thm)],[394, 392])).
% 18.84/12.44 tff(396,plain,
% 18.84/12.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB1) | v124(constB1, bitIndex2) | (~v121(constB1, bitIndex2)))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(397,plain,
% 18.84/12.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2)),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[396, 395])).
% 18.84/12.44 tff(398,plain,
% 18.84/12.44 ((~v121(constB1, bitIndex2)) | v26(constB1)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[397, 391, 381])).
% 18.84/12.44 tff(399,plain,
% 18.84/12.44 (~v121(constB1, bitIndex2)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[398, 73])).
% 18.84/12.44 tff(400,plain,
% 18.84/12.44 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(401,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[400])).
% 18.84/12.44 tff(402,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(403,plain,
% 18.84/12.44 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> (v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))), (((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))))), rewrite(((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))), (((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(404,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[403])).
% 18.84/12.44 tff(405,axiom,(![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 18.84/12.44 tff(406,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[405, 404])).
% 18.84/12.44 tff(407,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[406, 402])).
% 18.84/12.44 tff(408,plain,(
% 18.84/12.44 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 18.84/12.44 inference(skolemize,[status(sab)],[407])).
% 18.84/12.44 tff(409,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[408, 401])).
% 18.84/12.44 tff(410,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(411,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2)))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(412,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[411, 410])).
% 18.84/12.44 tff(413,plain,
% 18.84/12.44 (v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2))),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[412, 409, 283])).
% 18.84/12.44 tff(414,plain,
% 18.84/12.44 (~v123(constB2, bitIndex2)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[413, 399])).
% 18.84/12.44 tff(415,plain,
% 18.84/12.44 (^[VarNext: $i] : refl(((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2)) <=> ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2)))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(416,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[415])).
% 18.84/12.44 tff(417,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(418,plain,
% 18.84/12.44 (^[VarNext: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) <=> ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2))), (((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) | (~v94(VarNext))) <=> (((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2)) | (~v94(VarNext))))), rewrite((((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2)) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))), (((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(419,plain,
% 18.84/12.44 (![VarNext: $i] : ((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) | (~v94(VarNext))) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[418])).
% 18.84/12.44 tff(420,axiom,(![VarNext: $i] : ((v123(VarNext, bitIndex2) | (~v84(VarNext, bitIndex2))) | (~v94(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 18.84/12.44 tff(421,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[420, 419])).
% 18.84/12.44 tff(422,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[421, 417])).
% 18.84/12.44 tff(423,plain,(
% 18.84/12.44 ![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 18.84/12.44 inference(skolemize,[status(sab)],[422])).
% 18.84/12.44 tff(424,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[423, 416])).
% 18.84/12.44 tff(425,plain,
% 18.84/12.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(426,plain,
% 18.84/12.44 (((~v84(constB2, bitIndex2)) | (~v94(constB2)) | v123(constB2, bitIndex2)) <=> ((~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(427,plain,
% 18.84/12.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | (~v94(constB2)) | v123(constB2, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2))))),
% 18.84/12.44 inference(monotonicity,[status(thm)],[426])).
% 18.84/12.44 tff(428,plain,
% 18.84/12.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | (~v94(constB2)) | v123(constB2, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2)))),
% 18.84/12.44 inference(transitivity,[status(thm)],[427, 425])).
% 18.84/12.44 tff(429,plain,
% 18.84/12.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB2, bitIndex2)) | (~v94(constB2)) | v123(constB2, bitIndex2))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(430,plain,
% 18.84/12.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[429, 428])).
% 18.84/12.44 tff(431,plain,
% 18.84/12.44 ((~v84(constB2, bitIndex2)) | (~v94(constB2))),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[430, 424, 414])).
% 18.84/12.44 tff(432,plain,
% 18.84/12.44 (~v84(constB2, bitIndex2)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[431, 367])).
% 18.84/12.44 tff(433,plain,
% 18.84/12.44 ((~v1(constB3)) <=> (~v1(constB3))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(434,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 18.84/12.44 tff(435,plain,
% 18.84/12.44 (~v1(constB3)),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[434, 433])).
% 18.84/12.44 tff(436,plain,
% 18.84/12.44 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(437,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 18.84/12.44 tff(438,plain,
% 18.84/12.44 (nextState(constB2, constB3)),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[437, 436])).
% 18.84/12.44 tff(439,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(440,plain,
% 18.84/12.44 (((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(441,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3))))),
% 18.84/12.44 inference(monotonicity,[status(thm)],[440])).
% 18.84/12.44 tff(442,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 18.84/12.44 inference(transitivity,[status(thm)],[441, 439])).
% 18.84/12.44 tff(443,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(444,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[443, 442])).
% 18.84/12.44 tff(445,plain,
% 18.84/12.44 (~v95(constB3)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[444, 89, 438, 435])).
% 18.84/12.44 tff(446,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(447,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(448,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[447, 446])).
% 18.84/12.44 tff(449,plain,
% 18.84/12.44 (v95(constB3) | (~v94(constB3))),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[448, 106, 438])).
% 18.84/12.44 tff(450,plain,
% 18.84/12.44 (~v94(constB3)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[449, 445])).
% 18.84/12.44 tff(451,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(452,plain,
% 18.84/12.44 (((~nextState(constB2, constB3)) | v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2))) <=> (v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(453,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2))))),
% 18.84/12.44 inference(monotonicity,[status(thm)],[452])).
% 18.84/12.44 tff(454,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2)))),
% 18.84/12.44 inference(transitivity,[status(thm)],[453, 451])).
% 18.84/12.44 tff(455,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2)))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(456,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[455, 454])).
% 18.84/12.44 tff(457,plain,
% 18.84/12.44 (v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2))),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[456, 121, 438])).
% 18.84/12.44 tff(458,plain,
% 18.84/12.44 (v84(constB2, bitIndex2) | (~v84(constB3, bitIndex2))),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[457, 450])).
% 18.84/12.44 tff(459,plain,
% 18.84/12.44 (~v84(constB3, bitIndex2)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[458, 432])).
% 18.84/12.44 tff(460,plain,
% 18.84/12.44 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(461,plain,
% 18.84/12.44 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[460])).
% 18.84/12.44 tff(462,plain,
% 18.84/12.44 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(463,plain,
% 18.84/12.44 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(464,plain,
% 18.84/12.44 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[463])).
% 18.84/12.44 tff(465,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_2')).
% 18.84/12.44 tff(466,plain,
% 18.84/12.44 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[465, 464])).
% 18.84/12.44 tff(467,plain,
% 18.84/12.44 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[466, 462])).
% 18.84/12.44 tff(468,plain,(
% 18.84/12.44 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(skolemize,[status(sab)],[467])).
% 18.84/12.44 tff(469,plain,
% 18.84/12.44 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[468, 461])).
% 18.84/12.44 tff(470,plain,
% 18.84/12.44 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB1)) | (~v124(constB1, bitIndex1)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(471,plain,
% 18.84/12.44 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex1)))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(472,plain,
% 18.84/12.44 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB1)) | (~v124(constB1, bitIndex1))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[471, 470])).
% 18.84/12.44 tff(473,plain,
% 18.84/12.44 (~v124(constB1, bitIndex1)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[472, 469, 188])).
% 18.84/12.44 tff(474,plain,
% 18.84/12.44 (^[VarCurr: $i] : refl((v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(475,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[474])).
% 18.84/12.44 tff(476,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(477,plain,
% 18.84/12.44 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> (v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))), (((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)))), rewrite(((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))), (((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(478,plain,
% 18.84/12.44 (![VarCurr: $i] : ((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[477])).
% 18.84/12.44 tff(479,axiom,(![VarCurr: $i] : ((v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 18.84/12.44 tff(480,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[479, 478])).
% 18.84/12.44 tff(481,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[480, 476])).
% 18.84/12.44 tff(482,plain,(
% 18.84/12.44 ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(skolemize,[status(sab)],[481])).
% 18.84/12.44 tff(483,plain,
% 18.84/12.44 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[482, 475])).
% 18.84/12.44 tff(484,plain,
% 18.84/12.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(485,plain,
% 18.84/12.44 ((v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1))) <=> ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(486,plain,
% 18.84/12.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1)))),
% 18.84/12.44 inference(monotonicity,[status(thm)],[485])).
% 18.84/12.44 tff(487,plain,
% 18.84/12.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 18.84/12.44 inference(transitivity,[status(thm)],[486, 484])).
% 18.84/12.44 tff(488,plain,
% 18.84/12.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(489,plain,
% 18.84/12.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1)),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[488, 487])).
% 18.84/12.44 tff(490,plain,
% 18.84/12.44 ((~v121(constB1, bitIndex1)) | v26(constB1)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[489, 483, 473])).
% 18.84/12.44 tff(491,plain,
% 18.84/12.44 (~v121(constB1, bitIndex1)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[490, 73])).
% 18.84/12.44 tff(492,plain,
% 18.84/12.44 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(493,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[492])).
% 18.84/12.44 tff(494,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(495,plain,
% 18.84/12.44 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> (v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))), (((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))), (((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(496,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[495])).
% 18.84/12.44 tff(497,axiom,(![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 18.84/12.44 tff(498,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[497, 496])).
% 18.84/12.44 tff(499,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[498, 494])).
% 18.84/12.44 tff(500,plain,(
% 18.84/12.44 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.44 inference(skolemize,[status(sab)],[499])).
% 18.84/12.44 tff(501,plain,
% 18.84/12.44 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[500, 493])).
% 18.84/12.44 tff(502,plain,
% 18.84/12.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(503,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))),
% 18.84/12.44 inference(quant_inst,[status(thm)],[])).
% 18.84/12.44 tff(504,plain,
% 18.84/12.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[503, 502])).
% 18.84/12.44 tff(505,plain,
% 18.84/12.44 (v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1))),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[504, 501, 283])).
% 18.84/12.44 tff(506,plain,
% 18.84/12.44 (~v123(constB2, bitIndex1)),
% 18.84/12.44 inference(unit_resolution,[status(thm)],[505, 491])).
% 18.84/12.44 tff(507,plain,
% 18.84/12.44 (^[VarNext: $i] : refl(((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(508,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[507])).
% 18.84/12.44 tff(509,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(510,plain,
% 18.84/12.44 (^[VarNext: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) <=> ((~v84(VarNext, bitIndex1)) | v123(VarNext, bitIndex1))), (((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) | (~v94(VarNext))) <=> (((~v84(VarNext, bitIndex1)) | v123(VarNext, bitIndex1)) | (~v94(VarNext))))), rewrite((((~v84(VarNext, bitIndex1)) | v123(VarNext, bitIndex1)) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))), (((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))))),
% 18.84/12.44 inference(bind,[status(th)],[])).
% 18.84/12.44 tff(511,plain,
% 18.84/12.44 (![VarNext: $i] : ((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) | (~v94(VarNext))) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 18.84/12.44 inference(quant_intro,[status(thm)],[510])).
% 18.84/12.44 tff(512,axiom,(![VarNext: $i] : ((v123(VarNext, bitIndex1) | (~v84(VarNext, bitIndex1))) | (~v94(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 18.84/12.44 tff(513,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[512, 511])).
% 18.84/12.44 tff(514,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[513, 509])).
% 18.84/12.44 tff(515,plain,(
% 18.84/12.44 ![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 18.84/12.44 inference(skolemize,[status(sab)],[514])).
% 18.84/12.44 tff(516,plain,
% 18.84/12.44 (![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 18.84/12.44 inference(modus_ponens,[status(thm)],[515, 508])).
% 18.84/12.44 tff(517,plain,
% 18.84/12.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(518,plain,
% 18.84/12.44 (((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1)) <=> ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 18.84/12.44 inference(rewrite,[status(thm)],[])).
% 18.84/12.44 tff(519,plain,
% 18.84/12.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2))))),
% 18.84/12.44 inference(monotonicity,[status(thm)],[518])).
% 18.84/12.44 tff(520,plain,
% 18.84/12.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 18.84/12.44 inference(transitivity,[status(thm)],[519, 517])).
% 18.84/12.44 tff(521,plain,
% 18.84/12.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(522,plain,
% 18.84/12.45 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[521, 520])).
% 18.84/12.45 tff(523,plain,
% 18.84/12.45 ((~v84(constB2, bitIndex1)) | (~v94(constB2))),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[522, 516, 506])).
% 18.84/12.45 tff(524,plain,
% 18.84/12.45 (~v84(constB2, bitIndex1)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[523, 367])).
% 18.84/12.45 tff(525,plain,
% 18.84/12.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(526,plain,
% 18.84/12.45 (((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1))) <=> (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(527,plain,
% 18.84/12.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1))))),
% 18.84/12.45 inference(monotonicity,[status(thm)],[526])).
% 18.84/12.45 tff(528,plain,
% 18.84/12.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 18.84/12.45 inference(transitivity,[status(thm)],[527, 525])).
% 18.84/12.45 tff(529,plain,
% 18.84/12.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(530,plain,
% 18.84/12.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[529, 528])).
% 18.84/12.45 tff(531,plain,
% 18.84/12.45 (v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1))),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[530, 142, 438])).
% 18.84/12.45 tff(532,plain,
% 18.84/12.45 (v84(constB2, bitIndex1) | (~v84(constB3, bitIndex1))),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[531, 450])).
% 18.84/12.45 tff(533,plain,
% 18.84/12.45 (~v84(constB3, bitIndex1)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[532, 524])).
% 18.84/12.45 tff(534,plain,
% 18.84/12.45 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v113(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(535,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[534])).
% 18.84/12.45 tff(536,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(537,plain,
% 18.84/12.45 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex0) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(538,plain,
% 18.84/12.45 (![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[537])).
% 18.84/12.45 tff(539,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_1')).
% 18.84/12.45 tff(540,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[539, 538])).
% 18.84/12.45 tff(541,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[540, 536])).
% 18.84/12.45 tff(542,plain,(
% 18.84/12.45 ![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.84/12.45 inference(skolemize,[status(sab)],[541])).
% 18.84/12.45 tff(543,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[542, 535])).
% 18.84/12.45 tff(544,plain,
% 18.84/12.45 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB1)) | v124(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB1)) | v124(constB1, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(545,plain,
% 18.84/12.45 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB1)) | v124(constB1, bitIndex0))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(546,plain,
% 18.84/12.45 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB1)) | v124(constB1, bitIndex0)),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[545, 544])).
% 18.84/12.45 tff(547,plain,
% 18.84/12.45 (v124(constB1, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[546, 543, 188])).
% 18.84/12.45 tff(548,plain,
% 18.84/12.45 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(549,plain,
% 18.84/12.45 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[548])).
% 18.84/12.45 tff(550,plain,
% 18.84/12.45 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(551,plain,
% 18.84/12.45 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) <=> ((~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))), (((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (((~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) | v26(VarCurr)))), rewrite((((~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))), (((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(552,plain,
% 18.84/12.45 (![VarCurr: $i] : ((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[551])).
% 18.84/12.45 tff(553,axiom,(![VarCurr: $i] : ((v121(VarCurr, bitIndex0) | (~v124(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 18.84/12.45 tff(554,plain,
% 18.84/12.45 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[553, 552])).
% 18.84/12.45 tff(555,plain,
% 18.84/12.45 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[554, 550])).
% 18.84/12.45 tff(556,plain,(
% 18.84/12.45 ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 18.84/12.45 inference(skolemize,[status(sab)],[555])).
% 18.84/12.45 tff(557,plain,
% 18.84/12.45 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[556, 549])).
% 18.84/12.45 tff(558,plain,
% 18.84/12.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB1) | (~v124(constB1, bitIndex0)) | v121(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB1) | (~v124(constB1, bitIndex0)) | v121(constB1, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(559,plain,
% 18.84/12.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB1) | (~v124(constB1, bitIndex0)) | v121(constB1, bitIndex0))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(560,plain,
% 18.84/12.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB1) | (~v124(constB1, bitIndex0)) | v121(constB1, bitIndex0)),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[559, 558])).
% 18.84/12.45 tff(561,plain,
% 18.84/12.45 (v26(constB1) | v121(constB1, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[560, 557, 547])).
% 18.84/12.45 tff(562,plain,
% 18.84/12.45 (v121(constB1, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[561, 73])).
% 18.84/12.45 tff(563,plain,
% 18.84/12.45 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(564,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[563])).
% 18.84/12.45 tff(565,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(566,plain,
% 18.84/12.45 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ((~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))), (((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> (((~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))), (((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(567,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[566])).
% 18.84/12.45 tff(568,axiom,(![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex0) | (~v121(VarCurr, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 18.84/12.45 tff(569,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[568, 567])).
% 18.84/12.45 tff(570,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[569, 565])).
% 18.84/12.45 tff(571,plain,(
% 18.84/12.45 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 18.84/12.45 inference(skolemize,[status(sab)],[570])).
% 18.84/12.45 tff(572,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[571, 564])).
% 18.84/12.45 tff(573,plain,
% 18.84/12.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(574,plain,
% 18.84/12.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(575,plain,
% 18.84/12.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0)),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[574, 573])).
% 18.84/12.45 tff(576,plain,
% 18.84/12.45 ((~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[575, 572, 283])).
% 18.84/12.45 tff(577,plain,
% 18.84/12.45 (v123(constB2, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[576, 562])).
% 18.84/12.45 tff(578,plain,
% 18.84/12.45 (^[VarNext: $i] : refl((v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(579,plain,
% 18.84/12.45 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[578])).
% 18.84/12.45 tff(580,plain,
% 18.84/12.45 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(581,plain,
% 18.84/12.45 (^[VarNext: $i] : trans(monotonicity(rewrite((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> (v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0)))), (((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))) <=> ((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))))), rewrite(((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))), (((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(582,plain,
% 18.84/12.45 (![VarNext: $i] : ((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[581])).
% 18.84/12.45 tff(583,axiom,(![VarNext: $i] : ((v84(VarNext, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~v94(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 18.84/12.45 tff(584,plain,
% 18.84/12.45 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[583, 582])).
% 18.84/12.45 tff(585,plain,
% 18.84/12.45 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[584, 580])).
% 18.84/12.45 tff(586,plain,(
% 18.84/12.45 ![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.45 inference(skolemize,[status(sab)],[585])).
% 18.84/12.45 tff(587,plain,
% 18.84/12.45 (![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[586, 579])).
% 18.84/12.45 tff(588,plain,
% 18.84/12.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(589,plain,
% 18.84/12.45 ((v84(constB2, bitIndex0) | (~v94(constB2)) | (~v123(constB2, bitIndex0))) <=> (v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(590,plain,
% 18.84/12.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v94(constB2)) | (~v123(constB2, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2))))),
% 18.84/12.45 inference(monotonicity,[status(thm)],[589])).
% 18.84/12.45 tff(591,plain,
% 18.84/12.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v94(constB2)) | (~v123(constB2, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2)))),
% 18.84/12.45 inference(transitivity,[status(thm)],[590, 588])).
% 18.84/12.45 tff(592,plain,
% 18.84/12.45 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v94(constB2)) | (~v123(constB2, bitIndex0)))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(593,plain,
% 18.84/12.45 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[592, 591])).
% 18.84/12.45 tff(594,plain,
% 18.84/12.45 (v84(constB2, bitIndex0) | (~v94(constB2))),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[593, 587, 577])).
% 18.84/12.45 tff(595,plain,
% 18.84/12.45 (v84(constB2, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[594, 367])).
% 18.84/12.45 tff(596,plain,
% 18.84/12.45 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(597,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[596])).
% 18.84/12.45 tff(598,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(599,plain,
% 18.84/12.45 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarNext, bitIndex0))), (((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarNext, bitIndex0)) | v94(VarNext)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarNext, bitIndex0)) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))), (((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)))), ((((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))), ((((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(600,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[599])).
% 18.84/12.45 tff(601,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex0) | (~v84(VarCurr, bitIndex0))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 18.84/12.45 tff(602,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[601, 600])).
% 18.84/12.45 tff(603,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[602, 598])).
% 18.84/12.45 tff(604,plain,(
% 18.84/12.45 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 18.84/12.45 inference(skolemize,[status(sab)],[603])).
% 18.84/12.45 tff(605,plain,
% 18.84/12.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[604, 597])).
% 18.84/12.45 tff(606,plain,
% 18.84/12.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(607,plain,
% 18.84/12.45 (((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0)) <=> ((~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(608,plain,
% 18.84/12.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0)))),
% 18.84/12.45 inference(monotonicity,[status(thm)],[607])).
% 18.84/12.45 tff(609,plain,
% 18.84/12.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0))),
% 18.84/12.45 inference(transitivity,[status(thm)],[608, 606])).
% 18.84/12.45 tff(610,plain,
% 18.84/12.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(611,plain,
% 18.84/12.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0)),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[610, 609])).
% 18.84/12.45 tff(612,plain,
% 18.84/12.45 ((~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[611, 605, 438])).
% 18.84/12.45 tff(613,plain,
% 18.84/12.45 ((~v84(constB2, bitIndex0)) | v84(constB3, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[612, 450])).
% 18.84/12.45 tff(614,plain,
% 18.84/12.45 (v84(constB3, bitIndex0)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[613, 595])).
% 18.84/12.45 tff(615,plain,
% 18.84/12.45 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(616,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[615])).
% 18.84/12.45 tff(617,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(618,plain,
% 18.84/12.45 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr))), ((((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr)) | v84(VarCurr, bitIndex1)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))), ((((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(619,plain,
% 18.84/12.45 (![VarCurr: $i] : (((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[618])).
% 18.84/12.45 tff(620,axiom,(![VarCurr: $i] : (((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 18.84/12.45 tff(621,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[620, 619])).
% 18.84/12.45 tff(622,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[621, 617])).
% 18.84/12.45 tff(623,plain,(
% 18.84/12.45 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 18.84/12.45 inference(skolemize,[status(sab)],[622])).
% 18.84/12.45 tff(624,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[623, 616])).
% 18.84/12.45 tff(625,plain,
% 18.84/12.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB3, bitIndex0)) | v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | v145(constB3))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB3, bitIndex0)) | v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | v145(constB3))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(626,plain,
% 18.84/12.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB3, bitIndex0)) | v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | v145(constB3))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(627,plain,
% 18.84/12.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB3, bitIndex0)) | v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | v145(constB3)),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[626, 625])).
% 18.84/12.45 tff(628,plain,
% 18.84/12.45 (v145(constB3)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[627, 624, 614, 533, 459])).
% 18.84/12.45 tff(629,plain,
% 18.84/12.45 (^[VarCurr: $i] : refl(((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(630,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[629])).
% 18.84/12.45 tff(631,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(632,plain,
% 18.84/12.45 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 18.84/12.45 inference(bind,[status(th)],[])).
% 18.84/12.45 tff(633,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.45 inference(quant_intro,[status(thm)],[632])).
% 18.84/12.45 tff(634,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_3')).
% 18.84/12.45 tff(635,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[634, 633])).
% 18.84/12.45 tff(636,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[635, 631])).
% 18.84/12.45 tff(637,plain,(
% 18.84/12.45 ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.45 inference(skolemize,[status(sab)],[636])).
% 18.84/12.45 tff(638,plain,
% 18.84/12.45 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[637, 630])).
% 18.84/12.45 tff(639,plain,
% 18.84/12.45 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB3)) | (~v124(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB3)) | (~v124(constB3, bitIndex2)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(640,plain,
% 18.84/12.45 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB3)) | (~v124(constB3, bitIndex2)))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(641,plain,
% 18.84/12.45 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB3)) | (~v124(constB3, bitIndex2))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[640, 639])).
% 18.84/12.45 tff(642,plain,
% 18.84/12.45 (~v124(constB3, bitIndex2)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[641, 638, 628])).
% 18.84/12.45 tff(643,plain,
% 18.84/12.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(644,plain,
% 18.84/12.45 ((v26(constB3) | v124(constB3, bitIndex2) | (~v121(constB3, bitIndex2))) <=> ((~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(645,plain,
% 18.84/12.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB3) | v124(constB3, bitIndex2) | (~v121(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2)))),
% 18.84/12.45 inference(monotonicity,[status(thm)],[644])).
% 18.84/12.45 tff(646,plain,
% 18.84/12.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB3) | v124(constB3, bitIndex2) | (~v121(constB3, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2))),
% 18.84/12.45 inference(transitivity,[status(thm)],[645, 643])).
% 18.84/12.45 tff(647,plain,
% 18.84/12.45 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB3) | v124(constB3, bitIndex2) | (~v121(constB3, bitIndex2)))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(648,plain,
% 18.84/12.45 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2)),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[647, 646])).
% 18.84/12.45 tff(649,plain,
% 18.84/12.45 ((~v121(constB3, bitIndex2)) | v26(constB3)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[648, 391, 642])).
% 18.84/12.45 tff(650,plain,
% 18.84/12.45 (~v121(constB3, bitIndex2)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[649, 69])).
% 18.84/12.45 tff(651,plain,
% 18.84/12.45 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(652,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 18.84/12.45 tff(653,plain,
% 18.84/12.45 (nextState(constB3, constB4)),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[652, 651])).
% 18.84/12.45 tff(654,plain,
% 18.84/12.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(655,plain,
% 18.84/12.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2)))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(656,plain,
% 18.84/12.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[655, 654])).
% 18.84/12.45 tff(657,plain,
% 18.84/12.45 (v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2))),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[656, 409, 653])).
% 18.84/12.45 tff(658,plain,
% 18.84/12.45 (~v123(constB4, bitIndex2)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[657, 650])).
% 18.84/12.45 tff(659,assumption,(~v102(constB3)), introduced(assumption)).
% 18.84/12.45 tff(660,plain,
% 18.84/12.45 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB3) | (~v106(constB3)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB3) | (~v106(constB3)))),
% 18.84/12.45 inference(rewrite,[status(thm)],[])).
% 18.84/12.45 tff(661,plain,
% 18.84/12.45 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB3) | (~v106(constB3)))),
% 18.84/12.45 inference(quant_inst,[status(thm)],[])).
% 18.84/12.45 tff(662,plain,
% 18.84/12.45 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB3) | (~v106(constB3))),
% 18.84/12.45 inference(modus_ponens,[status(thm)],[661, 660])).
% 18.84/12.45 tff(663,plain,
% 18.84/12.45 (~v106(constB3)),
% 18.84/12.45 inference(unit_resolution,[status(thm)],[662, 276, 659])).
% 18.84/12.46 tff(664,plain,
% 18.84/12.46 (^[VarCurr: $i] : refl((v102(VarCurr) | (~v26(VarCurr))) <=> (v102(VarCurr) | (~v26(VarCurr))))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(665,plain,
% 18.84/12.46 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[664])).
% 18.84/12.46 tff(666,plain,
% 18.84/12.46 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(667,axiom,(![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 18.84/12.46 tff(668,plain,
% 18.84/12.46 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[667, 666])).
% 18.84/12.46 tff(669,plain,(
% 18.84/12.46 ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 18.84/12.46 inference(skolemize,[status(sab)],[668])).
% 18.84/12.46 tff(670,plain,
% 18.84/12.46 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[669, 665])).
% 18.84/12.46 tff(671,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB3) | (~v26(constB3)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB3) | (~v26(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(672,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB3) | (~v26(constB3)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(673,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB3) | (~v26(constB3))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[672, 671])).
% 18.84/12.46 tff(674,plain,
% 18.84/12.46 (~v26(constB3)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[673, 670, 659])).
% 18.84/12.46 tff(675,plain,
% 18.84/12.46 (^[VarCurr: $i] : refl((v112(VarCurr) | (~v145(VarCurr))) <=> (v112(VarCurr) | (~v145(VarCurr))))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(676,plain,
% 18.84/12.46 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[675])).
% 18.84/12.46 tff(677,plain,
% 18.84/12.46 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(678,axiom,(![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_1')).
% 18.84/12.46 tff(679,plain,
% 18.84/12.46 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[678, 677])).
% 18.84/12.46 tff(680,plain,(
% 18.84/12.46 ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 18.84/12.46 inference(skolemize,[status(sab)],[679])).
% 18.84/12.46 tff(681,plain,
% 18.84/12.46 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[680, 676])).
% 18.84/12.46 tff(682,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB3) | (~v145(constB3)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB3) | (~v145(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(683,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB3) | (~v145(constB3)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(684,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB3) | (~v145(constB3))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[683, 682])).
% 18.84/12.46 tff(685,plain,
% 18.84/12.46 (v112(constB3)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[684, 681, 628])).
% 18.84/12.46 tff(686,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB3) | (~v112(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(687,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB3) | (~v112(constB3)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(688,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB3) | (~v112(constB3))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[687, 686])).
% 18.84/12.46 tff(689,plain,
% 18.84/12.46 (v111(constB3)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[688, 206, 685])).
% 18.84/12.46 tff(690,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB3) | (~v111(constB3)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB3) | (~v111(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(691,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB3) | (~v111(constB3)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(692,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB3) | (~v111(constB3))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[691, 690])).
% 18.84/12.46 tff(693,plain,
% 18.84/12.46 (v110(constB3)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[692, 217, 689])).
% 18.84/12.46 tff(694,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB3) | (~v110(constB3)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB3) | (~v110(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(695,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB3) | (~v110(constB3)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(696,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB3) | (~v110(constB3))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[695, 694])).
% 18.84/12.46 tff(697,plain,
% 18.84/12.46 (v109(constB3)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[696, 228, 693])).
% 18.84/12.46 tff(698,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB3) | (~v109(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB3) | (~v109(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(699,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB3) | (~v109(constB3)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(700,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB3) | (~v109(constB3))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[699, 698])).
% 18.84/12.46 tff(701,plain,
% 18.84/12.46 (v108(constB3)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[700, 239, 697])).
% 18.84/12.46 tff(702,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB3) | (~v108(constB3)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB3) | (~v108(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(703,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB3) | (~v108(constB3)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(704,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB3) | (~v108(constB3))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[703, 702])).
% 18.84/12.46 tff(705,plain,
% 18.84/12.46 (v107(constB3)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[704, 250, 701])).
% 18.84/12.46 tff(706,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | (~v107(constB3)) | v106(constB3))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(707,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(708,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | (~v107(constB3)) | v106(constB3)),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[707, 706])).
% 18.84/12.46 tff(709,plain,
% 18.84/12.46 (v26(constB3) | v106(constB3)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[708, 264, 705])).
% 18.84/12.46 tff(710,plain,
% 18.84/12.46 ($false),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[709, 674, 663])).
% 18.84/12.46 tff(711,plain,(v102(constB3)), inference(lemma,lemma(discharge,[]))).
% 18.84/12.46 tff(712,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(713,plain,
% 18.84/12.46 (((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4)) <=> ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(714,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3))))),
% 18.84/12.46 inference(monotonicity,[status(thm)],[713])).
% 18.84/12.46 tff(715,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 18.84/12.46 inference(transitivity,[status(thm)],[714, 712])).
% 18.84/12.46 tff(716,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(717,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[716, 715])).
% 18.84/12.46 tff(718,plain,
% 18.84/12.46 (v104(constB4) | (~v102(constB3))),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[717, 293, 653])).
% 18.84/12.46 tff(719,plain,
% 18.84/12.46 (v104(constB4)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[718, 711])).
% 18.84/12.46 tff(720,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(721,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(722,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[721, 720])).
% 18.84/12.46 tff(723,plain,
% 18.84/12.46 (~v98(constB4)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[722, 311, 653, 435])).
% 18.84/12.46 tff(724,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(725,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(726,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB3, constB4)) | v96(constB4) | v98(constB4)),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[725, 724])).
% 18.84/12.46 tff(727,plain,
% 18.84/12.46 (v96(constB4) | v98(constB4)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[726, 325, 653])).
% 18.84/12.46 tff(728,plain,
% 18.84/12.46 (v96(constB4)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[727, 723])).
% 18.84/12.46 tff(729,plain,
% 18.84/12.46 (v1(constB4) <=> v1(constB4)),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(730,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 18.84/12.46 tff(731,plain,
% 18.84/12.46 (v1(constB4)),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[730, 729])).
% 18.84/12.46 tff(732,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(733,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(734,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[733, 732])).
% 18.84/12.46 tff(735,plain,
% 18.84/12.46 (v95(constB4) | (~v96(constB4))),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[734, 343, 653, 731])).
% 18.84/12.46 tff(736,plain,
% 18.84/12.46 (v95(constB4)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[735, 728])).
% 18.84/12.46 tff(737,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(738,plain,
% 18.84/12.46 (((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4)) <=> ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(739,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4))))),
% 18.84/12.46 inference(monotonicity,[status(thm)],[738])).
% 18.84/12.46 tff(740,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 18.84/12.46 inference(transitivity,[status(thm)],[739, 737])).
% 18.84/12.46 tff(741,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(742,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[741, 740])).
% 18.84/12.46 tff(743,plain,
% 18.84/12.46 (v94(constB4) | (~v95(constB4)) | (~v104(constB4))),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[742, 358, 653])).
% 18.84/12.46 tff(744,plain,
% 18.84/12.46 (v94(constB4) | (~v104(constB4))),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[743, 736])).
% 18.84/12.46 tff(745,plain,
% 18.84/12.46 (v94(constB4)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[744, 719])).
% 18.84/12.46 tff(746,plain,
% 18.84/12.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(747,plain,
% 18.84/12.46 (((~v84(constB4, bitIndex2)) | (~v94(constB4)) | v123(constB4, bitIndex2)) <=> ((~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(748,plain,
% 18.84/12.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | (~v94(constB4)) | v123(constB4, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4))))),
% 18.84/12.46 inference(monotonicity,[status(thm)],[747])).
% 18.84/12.46 tff(749,plain,
% 18.84/12.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | (~v94(constB4)) | v123(constB4, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4)))),
% 18.84/12.46 inference(transitivity,[status(thm)],[748, 746])).
% 18.84/12.46 tff(750,plain,
% 18.84/12.46 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB4, bitIndex2)) | (~v94(constB4)) | v123(constB4, bitIndex2))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(751,plain,
% 18.84/12.46 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[750, 749])).
% 18.84/12.46 tff(752,plain,
% 18.84/12.46 ((~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[751, 424, 745])).
% 18.84/12.46 tff(753,plain,
% 18.84/12.46 (~v84(constB4, bitIndex2)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[752, 658])).
% 18.84/12.46 tff(754,plain,
% 18.84/12.46 ((~v1(constB5)) <=> (~v1(constB5))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(755,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 18.84/12.46 tff(756,plain,
% 18.84/12.46 (~v1(constB5)),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[755, 754])).
% 18.84/12.46 tff(757,plain,
% 18.84/12.46 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(758,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 18.84/12.46 tff(759,plain,
% 18.84/12.46 (nextState(constB4, constB5)),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[758, 757])).
% 18.84/12.46 tff(760,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(761,plain,
% 18.84/12.46 (((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(762,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5))))),
% 18.84/12.46 inference(monotonicity,[status(thm)],[761])).
% 18.84/12.46 tff(763,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 18.84/12.46 inference(transitivity,[status(thm)],[762, 760])).
% 18.84/12.46 tff(764,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(765,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[764, 763])).
% 18.84/12.46 tff(766,plain,
% 18.84/12.46 (~v95(constB5)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[765, 89, 759, 756])).
% 18.84/12.46 tff(767,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(768,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(769,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[768, 767])).
% 18.84/12.46 tff(770,plain,
% 18.84/12.46 (v95(constB5) | (~v94(constB5))),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[769, 106, 759])).
% 18.84/12.46 tff(771,plain,
% 18.84/12.46 (~v94(constB5)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[770, 766])).
% 18.84/12.46 tff(772,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(773,plain,
% 18.84/12.46 (((~nextState(constB4, constB5)) | v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2))) <=> (v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(774,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2))))),
% 18.84/12.46 inference(monotonicity,[status(thm)],[773])).
% 18.84/12.46 tff(775,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2)))),
% 18.84/12.46 inference(transitivity,[status(thm)],[774, 772])).
% 18.84/12.46 tff(776,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2)))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(777,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[776, 775])).
% 18.84/12.46 tff(778,plain,
% 18.84/12.46 (v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2))),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[777, 121, 759])).
% 18.84/12.46 tff(779,plain,
% 18.84/12.46 (v84(constB4, bitIndex2) | (~v84(constB5, bitIndex2))),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[778, 771])).
% 18.84/12.46 tff(780,plain,
% 18.84/12.46 (~v84(constB5, bitIndex2)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[779, 753])).
% 18.84/12.46 tff(781,plain,
% 18.84/12.46 (^[VarCurr: $i] : refl(((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(782,plain,
% 18.84/12.46 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[781])).
% 18.84/12.46 tff(783,plain,
% 18.84/12.46 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(784,plain,
% 18.84/12.46 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex1) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(785,plain,
% 18.84/12.46 (![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[784])).
% 18.84/12.46 tff(786,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_2')).
% 18.84/12.46 tff(787,plain,
% 18.84/12.46 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[786, 785])).
% 18.84/12.46 tff(788,plain,
% 18.84/12.46 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[787, 783])).
% 18.84/12.46 tff(789,plain,(
% 18.84/12.46 ![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.84/12.46 inference(skolemize,[status(sab)],[788])).
% 18.84/12.46 tff(790,plain,
% 18.84/12.46 (![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[789, 782])).
% 18.84/12.46 tff(791,plain,
% 18.84/12.46 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB3)) | v124(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB3)) | v124(constB3, bitIndex1))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(792,plain,
% 18.84/12.46 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB3)) | v124(constB3, bitIndex1))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(793,plain,
% 18.84/12.46 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB3)) | v124(constB3, bitIndex1)),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[792, 791])).
% 18.84/12.46 tff(794,plain,
% 18.84/12.46 (v124(constB3, bitIndex1)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[793, 790, 628])).
% 18.84/12.46 tff(795,plain,
% 18.84/12.46 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(796,plain,
% 18.84/12.46 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[795])).
% 18.84/12.46 tff(797,plain,
% 18.84/12.46 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(798,plain,
% 18.84/12.46 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) <=> ((~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))), (((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (((~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) | v26(VarCurr)))), rewrite((((~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))), (((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(799,plain,
% 18.84/12.46 (![VarCurr: $i] : ((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[798])).
% 18.84/12.46 tff(800,axiom,(![VarCurr: $i] : ((v121(VarCurr, bitIndex1) | (~v124(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 18.84/12.46 tff(801,plain,
% 18.84/12.46 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[800, 799])).
% 18.84/12.46 tff(802,plain,
% 18.84/12.46 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[801, 797])).
% 18.84/12.46 tff(803,plain,(
% 18.84/12.46 ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 18.84/12.46 inference(skolemize,[status(sab)],[802])).
% 18.84/12.46 tff(804,plain,
% 18.84/12.46 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[803, 796])).
% 18.84/12.46 tff(805,plain,
% 18.84/12.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(806,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(807,plain,
% 18.84/12.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1)),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[806, 805])).
% 18.84/12.46 tff(808,plain,
% 18.84/12.46 (v26(constB3) | v121(constB3, bitIndex1)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[807, 804, 794])).
% 18.84/12.46 tff(809,plain,
% 18.84/12.46 (v121(constB3, bitIndex1)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[808, 69])).
% 18.84/12.46 tff(810,plain,
% 18.84/12.46 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(811,plain,
% 18.84/12.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[810])).
% 18.84/12.46 tff(812,plain,
% 18.84/12.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(813,plain,
% 18.84/12.46 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ((~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))), (((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> (((~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))), (((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(814,plain,
% 18.84/12.46 (![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[813])).
% 18.84/12.46 tff(815,axiom,(![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex1) | (~v121(VarCurr, bitIndex1))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 18.84/12.46 tff(816,plain,
% 18.84/12.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[815, 814])).
% 18.84/12.46 tff(817,plain,
% 18.84/12.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[816, 812])).
% 18.84/12.46 tff(818,plain,(
% 18.84/12.46 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 18.84/12.46 inference(skolemize,[status(sab)],[817])).
% 18.84/12.46 tff(819,plain,
% 18.84/12.46 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[818, 811])).
% 18.84/12.46 tff(820,plain,
% 18.84/12.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(821,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))),
% 18.84/12.46 inference(quant_inst,[status(thm)],[])).
% 18.84/12.46 tff(822,plain,
% 18.84/12.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1)),
% 18.84/12.46 inference(modus_ponens,[status(thm)],[821, 820])).
% 18.84/12.46 tff(823,plain,
% 18.84/12.46 ((~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[822, 819, 653])).
% 18.84/12.46 tff(824,plain,
% 18.84/12.46 (v123(constB4, bitIndex1)),
% 18.84/12.46 inference(unit_resolution,[status(thm)],[823, 809])).
% 18.84/12.46 tff(825,plain,
% 18.84/12.46 (^[VarNext: $i] : refl((v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))))),
% 18.84/12.46 inference(bind,[status(th)],[])).
% 18.84/12.46 tff(826,plain,
% 18.84/12.46 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.46 inference(quant_intro,[status(thm)],[825])).
% 18.84/12.46 tff(827,plain,
% 18.84/12.46 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.46 inference(rewrite,[status(thm)],[])).
% 18.84/12.46 tff(828,plain,
% 18.84/12.46 (^[VarNext: $i] : trans(monotonicity(rewrite((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> (v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1)))), (((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))) <=> ((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))))), rewrite(((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))), (((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(829,plain,
% 18.84/12.47 (![VarNext: $i] : ((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[828])).
% 18.84/12.47 tff(830,axiom,(![VarNext: $i] : ((v84(VarNext, bitIndex1) | (~v123(VarNext, bitIndex1))) | (~v94(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 18.84/12.47 tff(831,plain,
% 18.84/12.47 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[830, 829])).
% 18.84/12.47 tff(832,plain,
% 18.84/12.47 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[831, 827])).
% 18.84/12.47 tff(833,plain,(
% 18.84/12.47 ![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.47 inference(skolemize,[status(sab)],[832])).
% 18.84/12.47 tff(834,plain,
% 18.84/12.47 (![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[833, 826])).
% 18.84/12.47 tff(835,plain,
% 18.84/12.47 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(836,plain,
% 18.84/12.47 ((v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1))) <=> (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(837,plain,
% 18.84/12.47 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4))))),
% 18.84/12.47 inference(monotonicity,[status(thm)],[836])).
% 18.84/12.47 tff(838,plain,
% 18.84/12.47 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 18.84/12.47 inference(transitivity,[status(thm)],[837, 835])).
% 18.84/12.47 tff(839,plain,
% 18.84/12.47 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))),
% 18.84/12.47 inference(quant_inst,[status(thm)],[])).
% 18.84/12.47 tff(840,plain,
% 18.84/12.47 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[839, 838])).
% 18.84/12.47 tff(841,plain,
% 18.84/12.47 (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1))),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[840, 834, 745])).
% 18.84/12.47 tff(842,plain,
% 18.84/12.47 (v84(constB4, bitIndex1)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[841, 824])).
% 18.84/12.47 tff(843,plain,
% 18.84/12.47 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(844,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[843])).
% 18.84/12.47 tff(845,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(846,plain,
% 18.84/12.47 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex1)) | v84(VarNext, bitIndex1))), (((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) <=> (((~v84(VarCurr, bitIndex1)) | v84(VarNext, bitIndex1)) | v94(VarNext)))), rewrite((((~v84(VarCurr, bitIndex1)) | v84(VarNext, bitIndex1)) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))), (((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)))), ((((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))), ((((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(847,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[846])).
% 18.84/12.47 tff(848,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex1) | (~v84(VarCurr, bitIndex1))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 18.84/12.47 tff(849,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[848, 847])).
% 18.84/12.47 tff(850,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[849, 845])).
% 18.84/12.47 tff(851,plain,(
% 18.84/12.47 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 18.84/12.47 inference(skolemize,[status(sab)],[850])).
% 18.84/12.47 tff(852,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[851, 844])).
% 18.84/12.47 tff(853,plain,
% 18.84/12.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(854,plain,
% 18.84/12.47 (((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1)) <=> ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(855,plain,
% 18.84/12.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1)))),
% 18.84/12.47 inference(monotonicity,[status(thm)],[854])).
% 18.84/12.47 tff(856,plain,
% 18.84/12.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 18.84/12.47 inference(transitivity,[status(thm)],[855, 853])).
% 18.84/12.47 tff(857,plain,
% 18.84/12.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))),
% 18.84/12.47 inference(quant_inst,[status(thm)],[])).
% 18.84/12.47 tff(858,plain,
% 18.84/12.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1)),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[857, 856])).
% 18.84/12.47 tff(859,plain,
% 18.84/12.47 ((~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[858, 852, 759])).
% 18.84/12.47 tff(860,plain,
% 18.84/12.47 ((~v84(constB4, bitIndex1)) | v84(constB5, bitIndex1)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[859, 771])).
% 18.84/12.47 tff(861,plain,
% 18.84/12.47 (v84(constB5, bitIndex1)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[860, 842])).
% 18.84/12.47 tff(862,plain,
% 18.84/12.47 (^[VarCurr: $i] : refl(((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(863,plain,
% 18.84/12.47 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[862])).
% 18.84/12.47 tff(864,plain,
% 18.84/12.47 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(865,plain,
% 18.84/12.47 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex0)) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(866,plain,
% 18.84/12.47 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[865])).
% 18.84/12.47 tff(867,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 18.84/12.47 tff(868,plain,
% 18.84/12.47 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[867, 866])).
% 18.84/12.47 tff(869,plain,
% 18.84/12.47 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[868, 864])).
% 18.84/12.47 tff(870,plain,(
% 18.84/12.47 ![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(skolemize,[status(sab)],[869])).
% 18.84/12.47 tff(871,plain,
% 18.84/12.47 (![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[870, 863])).
% 18.84/12.47 tff(872,plain,
% 18.84/12.47 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB3)) | (~v124(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB3)) | (~v124(constB3, bitIndex0)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(873,plain,
% 18.84/12.47 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB3)) | (~v124(constB3, bitIndex0)))),
% 18.84/12.47 inference(quant_inst,[status(thm)],[])).
% 18.84/12.47 tff(874,plain,
% 18.84/12.47 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB3)) | (~v124(constB3, bitIndex0))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[873, 872])).
% 18.84/12.47 tff(875,plain,
% 18.84/12.47 (~v124(constB3, bitIndex0)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[874, 871, 628])).
% 18.84/12.47 tff(876,plain,
% 18.84/12.47 (^[VarCurr: $i] : refl((v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(877,plain,
% 18.84/12.47 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[876])).
% 18.84/12.47 tff(878,plain,
% 18.84/12.47 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(879,plain,
% 18.84/12.47 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> (v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))), (((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)))), rewrite(((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))), (((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(880,plain,
% 18.84/12.47 (![VarCurr: $i] : ((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[879])).
% 18.84/12.47 tff(881,axiom,(![VarCurr: $i] : ((v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 18.84/12.47 tff(882,plain,
% 18.84/12.47 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[881, 880])).
% 18.84/12.47 tff(883,plain,
% 18.84/12.47 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[882, 878])).
% 18.84/12.47 tff(884,plain,(
% 18.84/12.47 ![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(skolemize,[status(sab)],[883])).
% 18.84/12.47 tff(885,plain,
% 18.84/12.47 (![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[884, 877])).
% 18.84/12.47 tff(886,plain,
% 18.84/12.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(887,plain,
% 18.84/12.47 ((v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0))) <=> ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(888,plain,
% 18.84/12.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0)))),
% 18.84/12.47 inference(monotonicity,[status(thm)],[887])).
% 18.84/12.47 tff(889,plain,
% 18.84/12.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 18.84/12.47 inference(transitivity,[status(thm)],[888, 886])).
% 18.84/12.47 tff(890,plain,
% 18.84/12.47 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))),
% 18.84/12.47 inference(quant_inst,[status(thm)],[])).
% 18.84/12.47 tff(891,plain,
% 18.84/12.47 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0)),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[890, 889])).
% 18.84/12.47 tff(892,plain,
% 18.84/12.47 ((~v121(constB3, bitIndex0)) | v26(constB3)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[891, 885, 875])).
% 18.84/12.47 tff(893,plain,
% 18.84/12.47 (~v121(constB3, bitIndex0)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[892, 69])).
% 18.84/12.47 tff(894,plain,
% 18.84/12.47 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(895,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[894])).
% 18.84/12.47 tff(896,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(897,plain,
% 18.84/12.47 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> (v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))), (((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))), (((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(898,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[897])).
% 18.84/12.47 tff(899,axiom,(![VarNext: $i, VarCurr: $i] : ((v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 18.84/12.47 tff(900,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[899, 898])).
% 18.84/12.47 tff(901,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[900, 896])).
% 18.84/12.47 tff(902,plain,(
% 18.84/12.47 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.47 inference(skolemize,[status(sab)],[901])).
% 18.84/12.47 tff(903,plain,
% 18.84/12.47 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[902, 895])).
% 18.84/12.47 tff(904,plain,
% 18.84/12.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(905,plain,
% 18.84/12.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))),
% 18.84/12.47 inference(quant_inst,[status(thm)],[])).
% 18.84/12.47 tff(906,plain,
% 18.84/12.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[905, 904])).
% 18.84/12.47 tff(907,plain,
% 18.84/12.47 (v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0))),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[906, 903, 653])).
% 18.84/12.47 tff(908,plain,
% 18.84/12.47 (~v123(constB4, bitIndex0)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[907, 893])).
% 18.84/12.47 tff(909,plain,
% 18.84/12.47 (^[VarNext: $i] : refl(((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(910,plain,
% 18.84/12.47 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[909])).
% 18.84/12.47 tff(911,plain,
% 18.84/12.47 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(912,plain,
% 18.84/12.47 (^[VarNext: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) <=> ((~v84(VarNext, bitIndex0)) | v123(VarNext, bitIndex0))), (((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) | (~v94(VarNext))) <=> (((~v84(VarNext, bitIndex0)) | v123(VarNext, bitIndex0)) | (~v94(VarNext))))), rewrite((((~v84(VarNext, bitIndex0)) | v123(VarNext, bitIndex0)) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))), (((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))))),
% 18.84/12.47 inference(bind,[status(th)],[])).
% 18.84/12.47 tff(913,plain,
% 18.84/12.47 (![VarNext: $i] : ((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) | (~v94(VarNext))) <=> ![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 18.84/12.47 inference(quant_intro,[status(thm)],[912])).
% 18.84/12.47 tff(914,axiom,(![VarNext: $i] : ((v123(VarNext, bitIndex0) | (~v84(VarNext, bitIndex0))) | (~v94(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 18.84/12.47 tff(915,plain,
% 18.84/12.47 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[914, 913])).
% 18.84/12.47 tff(916,plain,
% 18.84/12.47 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[915, 911])).
% 18.84/12.47 tff(917,plain,(
% 18.84/12.47 ![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 18.84/12.47 inference(skolemize,[status(sab)],[916])).
% 18.84/12.47 tff(918,plain,
% 18.84/12.47 (![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[917, 910])).
% 18.84/12.47 tff(919,plain,
% 18.84/12.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(920,plain,
% 18.84/12.47 (((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0)) <=> ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(921,plain,
% 18.84/12.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4))))),
% 18.84/12.47 inference(monotonicity,[status(thm)],[920])).
% 18.84/12.47 tff(922,plain,
% 18.84/12.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 18.84/12.47 inference(transitivity,[status(thm)],[921, 919])).
% 18.84/12.47 tff(923,plain,
% 18.84/12.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))),
% 18.84/12.47 inference(quant_inst,[status(thm)],[])).
% 18.84/12.47 tff(924,plain,
% 18.84/12.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4))),
% 18.84/12.47 inference(modus_ponens,[status(thm)],[923, 922])).
% 18.84/12.47 tff(925,plain,
% 18.84/12.47 ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[924, 918, 745])).
% 18.84/12.47 tff(926,plain,
% 18.84/12.47 (~v84(constB4, bitIndex0)),
% 18.84/12.47 inference(unit_resolution,[status(thm)],[925, 908])).
% 18.84/12.47 tff(927,plain,
% 18.84/12.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(928,plain,
% 18.84/12.47 (((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0))) <=> (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 18.84/12.47 inference(rewrite,[status(thm)],[])).
% 18.84/12.47 tff(929,plain,
% 18.84/12.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0))))),
% 18.84/12.47 inference(monotonicity,[status(thm)],[928])).
% 18.84/12.47 tff(930,plain,
% 18.84/12.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 18.84/12.47 inference(transitivity,[status(thm)],[929, 927])).
% 18.84/12.47 tff(931,plain,
% 18.84/12.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 18.90/12.47 inference(quant_inst,[status(thm)],[])).
% 18.90/12.47 tff(932,plain,
% 18.90/12.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[931, 930])).
% 18.90/12.47 tff(933,plain,
% 18.90/12.47 (v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0))),
% 18.90/12.47 inference(unit_resolution,[status(thm)],[932, 163, 759])).
% 18.90/12.47 tff(934,plain,
% 18.90/12.47 (v84(constB4, bitIndex0) | (~v84(constB5, bitIndex0))),
% 18.90/12.47 inference(unit_resolution,[status(thm)],[933, 771])).
% 18.90/12.47 tff(935,plain,
% 18.90/12.47 (~v84(constB5, bitIndex0)),
% 18.90/12.47 inference(unit_resolution,[status(thm)],[934, 926])).
% 18.90/12.47 tff(936,plain,
% 18.90/12.47 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)))),
% 18.90/12.47 inference(bind,[status(th)],[])).
% 18.90/12.47 tff(937,plain,
% 18.90/12.47 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 18.90/12.47 inference(quant_intro,[status(thm)],[936])).
% 18.90/12.47 tff(938,plain,
% 18.90/12.47 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 18.90/12.47 inference(rewrite,[status(thm)],[])).
% 18.90/12.47 tff(939,plain,
% 18.90/12.47 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))), ((((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite((((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))), ((((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))))),
% 18.90/12.47 inference(bind,[status(th)],[])).
% 18.90/12.47 tff(940,plain,
% 18.90/12.47 (![VarCurr: $i] : (((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 18.90/12.47 inference(quant_intro,[status(thm)],[939])).
% 18.90/12.47 tff(941,axiom,(![VarCurr: $i] : (((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 18.90/12.47 tff(942,plain,
% 18.90/12.47 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[941, 940])).
% 18.90/12.47 tff(943,plain,
% 18.90/12.47 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[942, 938])).
% 18.90/12.47 tff(944,plain,(
% 18.90/12.47 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 18.90/12.47 inference(skolemize,[status(sab)],[943])).
% 18.90/12.47 tff(945,plain,
% 18.90/12.47 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[944, 937])).
% 18.90/12.47 tff(946,plain,
% 18.90/12.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex2) | v115(constB5))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex2) | v115(constB5))),
% 18.90/12.47 inference(rewrite,[status(thm)],[])).
% 18.90/12.47 tff(947,plain,
% 18.90/12.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex2) | v115(constB5))),
% 18.90/12.47 inference(quant_inst,[status(thm)],[])).
% 18.90/12.47 tff(948,plain,
% 18.90/12.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex2) | v115(constB5)),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[947, 946])).
% 18.90/12.47 tff(949,plain,
% 18.90/12.47 (v115(constB5)),
% 18.90/12.47 inference(unit_resolution,[status(thm)],[948, 945, 935, 861, 780])).
% 18.90/12.47 tff(950,plain,
% 18.90/12.47 (^[VarCurr: $i] : refl((v111(VarCurr) | (~v115(VarCurr))) <=> (v111(VarCurr) | (~v115(VarCurr))))),
% 18.90/12.47 inference(bind,[status(th)],[])).
% 18.90/12.47 tff(951,plain,
% 18.90/12.47 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 18.90/12.47 inference(quant_intro,[status(thm)],[950])).
% 18.90/12.47 tff(952,plain,
% 18.90/12.47 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 18.90/12.47 inference(rewrite,[status(thm)],[])).
% 18.90/12.47 tff(953,axiom,(![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 18.90/12.47 tff(954,plain,
% 18.90/12.47 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[953, 952])).
% 18.90/12.47 tff(955,plain,(
% 18.90/12.47 ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 18.90/12.47 inference(skolemize,[status(sab)],[954])).
% 18.90/12.47 tff(956,plain,
% 18.90/12.47 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[955, 951])).
% 18.90/12.47 tff(957,plain,
% 18.90/12.47 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB5) | (~v115(constB5)))),
% 18.90/12.47 inference(rewrite,[status(thm)],[])).
% 18.90/12.47 tff(958,plain,
% 18.90/12.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB5) | (~v115(constB5)))),
% 18.90/12.47 inference(quant_inst,[status(thm)],[])).
% 18.90/12.47 tff(959,plain,
% 18.90/12.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB5) | (~v115(constB5))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[958, 957])).
% 18.90/12.47 tff(960,plain,
% 18.90/12.47 (v111(constB5)),
% 18.90/12.47 inference(unit_resolution,[status(thm)],[959, 956, 949])).
% 18.90/12.47 tff(961,plain,
% 18.90/12.47 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB5) | (~v111(constB5)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB5) | (~v111(constB5)))),
% 18.90/12.47 inference(rewrite,[status(thm)],[])).
% 18.90/12.47 tff(962,plain,
% 18.90/12.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB5) | (~v111(constB5)))),
% 18.90/12.47 inference(quant_inst,[status(thm)],[])).
% 18.90/12.47 tff(963,plain,
% 18.90/12.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB5) | (~v111(constB5))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[962, 961])).
% 18.90/12.47 tff(964,plain,
% 18.90/12.47 (v110(constB5)),
% 18.90/12.47 inference(unit_resolution,[status(thm)],[963, 217, 960])).
% 18.90/12.47 tff(965,plain,
% 18.90/12.47 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB5) | (~v110(constB5)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB5) | (~v110(constB5)))),
% 18.90/12.47 inference(rewrite,[status(thm)],[])).
% 18.90/12.47 tff(966,plain,
% 18.90/12.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB5) | (~v110(constB5)))),
% 18.90/12.47 inference(quant_inst,[status(thm)],[])).
% 18.90/12.47 tff(967,plain,
% 18.90/12.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB5) | (~v110(constB5))),
% 18.90/12.47 inference(modus_ponens,[status(thm)],[966, 965])).
% 18.90/12.47 tff(968,plain,
% 18.90/12.47 (v109(constB5)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[967, 228, 964])).
% 18.90/12.48 tff(969,plain,
% 18.90/12.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB5) | (~v109(constB5)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB5) | (~v109(constB5)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(970,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB5) | (~v109(constB5)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(971,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB5) | (~v109(constB5))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[970, 969])).
% 18.90/12.48 tff(972,plain,
% 18.90/12.48 (v108(constB5)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[971, 239, 968])).
% 18.90/12.48 tff(973,plain,
% 18.90/12.48 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB5) | (~v108(constB5)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB5) | (~v108(constB5)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(974,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB5) | (~v108(constB5)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(975,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB5) | (~v108(constB5))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[974, 973])).
% 18.90/12.48 tff(976,plain,
% 18.90/12.48 (v107(constB5)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[975, 250, 972])).
% 18.90/12.48 tff(977,plain,
% 18.90/12.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB5) | (~v107(constB5)) | v106(constB5))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB5) | (~v107(constB5)) | v106(constB5))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(978,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB5) | (~v107(constB5)) | v106(constB5))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(979,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB5) | (~v107(constB5)) | v106(constB5)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[978, 977])).
% 18.90/12.48 tff(980,plain,
% 18.90/12.48 (v26(constB5) | v106(constB5)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[979, 264, 976])).
% 18.90/12.48 tff(981,plain,
% 18.90/12.48 (v106(constB5)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[980, 65])).
% 18.90/12.48 tff(982,plain,
% 18.90/12.48 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB5) | (~v106(constB5)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB5) | (~v106(constB5)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(983,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB5) | (~v106(constB5)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(984,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB5) | (~v106(constB5))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[983, 982])).
% 18.90/12.48 tff(985,plain,
% 18.90/12.48 (v102(constB5)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[984, 276, 981])).
% 18.90/12.48 tff(986,plain,
% 18.90/12.48 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(987,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 18.90/12.48 tff(988,plain,
% 18.90/12.48 (nextState(constB5, constB6)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[987, 986])).
% 18.90/12.48 tff(989,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(990,plain,
% 18.90/12.48 (((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6)) <=> ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(991,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5))))),
% 18.90/12.48 inference(monotonicity,[status(thm)],[990])).
% 18.90/12.48 tff(992,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 18.90/12.48 inference(transitivity,[status(thm)],[991, 989])).
% 18.90/12.48 tff(993,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(994,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[993, 992])).
% 18.90/12.48 tff(995,plain,
% 18.90/12.48 (v104(constB6) | (~v102(constB5))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[994, 293, 988])).
% 18.90/12.48 tff(996,plain,
% 18.90/12.48 (v104(constB6)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[995, 985])).
% 18.90/12.48 tff(997,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(998,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(999,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[998, 997])).
% 18.90/12.48 tff(1000,plain,
% 18.90/12.48 (~v98(constB6)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[999, 311, 988, 756])).
% 18.90/12.48 tff(1001,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1002,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1003,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB5, constB6)) | v96(constB6) | v98(constB6)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 18.90/12.48 tff(1004,plain,
% 18.90/12.48 (v96(constB6) | v98(constB6)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1003, 325, 988])).
% 18.90/12.48 tff(1005,plain,
% 18.90/12.48 (v96(constB6)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1004, 1000])).
% 18.90/12.48 tff(1006,plain,
% 18.90/12.48 (v1(constB6) <=> v1(constB6)),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1007,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 18.90/12.48 tff(1008,plain,
% 18.90/12.48 (v1(constB6)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 18.90/12.48 tff(1009,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1010,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1011,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 18.90/12.48 tff(1012,plain,
% 18.90/12.48 (v95(constB6) | (~v96(constB6))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1011, 343, 988, 1008])).
% 18.90/12.48 tff(1013,plain,
% 18.90/12.48 (v95(constB6)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1012, 1005])).
% 18.90/12.48 tff(1014,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1015,plain,
% 18.90/12.48 (((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6)) <=> ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1016,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6))))),
% 18.90/12.48 inference(monotonicity,[status(thm)],[1015])).
% 18.90/12.48 tff(1017,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 18.90/12.48 inference(transitivity,[status(thm)],[1016, 1014])).
% 18.90/12.48 tff(1018,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1019,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 18.90/12.48 tff(1020,plain,
% 18.90/12.48 (v94(constB6) | (~v95(constB6)) | (~v104(constB6))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1019, 358, 988])).
% 18.90/12.48 tff(1021,plain,
% 18.90/12.48 (v94(constB6) | (~v104(constB6))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1020, 1013])).
% 18.90/12.48 tff(1022,plain,
% 18.90/12.48 (v94(constB6)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1021, 996])).
% 18.90/12.48 tff(1023,plain,
% 18.90/12.48 (^[VarCurr: $i] : refl(((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 18.90/12.48 inference(bind,[status(th)],[])).
% 18.90/12.48 tff(1024,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.48 inference(quant_intro,[status(thm)],[1023])).
% 18.90/12.48 tff(1025,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1026,plain,
% 18.90/12.48 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 18.90/12.48 inference(bind,[status(th)],[])).
% 18.90/12.48 tff(1027,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.48 inference(quant_intro,[status(thm)],[1026])).
% 18.90/12.48 tff(1028,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex2)) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_3')).
% 18.90/12.48 tff(1029,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 18.90/12.48 tff(1030,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1029, 1025])).
% 18.90/12.48 tff(1031,plain,(
% 18.90/12.48 ![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.48 inference(skolemize,[status(sab)],[1030])).
% 18.90/12.48 tff(1032,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1031, 1024])).
% 18.90/12.48 tff(1033,plain,
% 18.90/12.48 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB5)) | (~v124(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB5)) | (~v124(constB5, bitIndex2)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1034,plain,
% 18.90/12.48 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB5)) | (~v124(constB5, bitIndex2)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1035,plain,
% 18.90/12.48 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB5)) | (~v124(constB5, bitIndex2))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 18.90/12.48 tff(1036,plain,
% 18.90/12.48 (~v124(constB5, bitIndex2)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1035, 1032, 949])).
% 18.90/12.48 tff(1037,plain,
% 18.90/12.48 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1038,plain,
% 18.90/12.48 ((v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2))) <=> ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1039,plain,
% 18.90/12.48 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2)))),
% 18.90/12.48 inference(monotonicity,[status(thm)],[1038])).
% 18.90/12.48 tff(1040,plain,
% 18.90/12.48 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 18.90/12.48 inference(transitivity,[status(thm)],[1039, 1037])).
% 18.90/12.48 tff(1041,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1042,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1041, 1040])).
% 18.90/12.48 tff(1043,plain,
% 18.90/12.48 ((~v121(constB5, bitIndex2)) | v26(constB5)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1042, 391, 1036])).
% 18.90/12.48 tff(1044,plain,
% 18.90/12.48 (~v121(constB5, bitIndex2)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1043, 65])).
% 18.90/12.48 tff(1045,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1046,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1047,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 18.90/12.48 tff(1048,plain,
% 18.90/12.48 (v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1047, 409, 988])).
% 18.90/12.48 tff(1049,plain,
% 18.90/12.48 (~v123(constB6, bitIndex2)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1048, 1044])).
% 18.90/12.48 tff(1050,plain,
% 18.90/12.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1051,plain,
% 18.90/12.48 (((~v84(constB6, bitIndex2)) | (~v94(constB6)) | v123(constB6, bitIndex2)) <=> ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1052,plain,
% 18.90/12.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | (~v94(constB6)) | v123(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6))))),
% 18.90/12.48 inference(monotonicity,[status(thm)],[1051])).
% 18.90/12.48 tff(1053,plain,
% 18.90/12.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | (~v94(constB6)) | v123(constB6, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 18.90/12.48 inference(transitivity,[status(thm)],[1052, 1050])).
% 18.90/12.48 tff(1054,plain,
% 18.90/12.48 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB6, bitIndex2)) | (~v94(constB6)) | v123(constB6, bitIndex2))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1055,plain,
% 18.90/12.48 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 18.90/12.48 tff(1056,plain,
% 18.90/12.48 ((~v84(constB6, bitIndex2)) | (~v94(constB6))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1055, 424, 1049])).
% 18.90/12.48 tff(1057,plain,
% 18.90/12.48 (~v84(constB6, bitIndex2)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1056, 1022])).
% 18.90/12.48 tff(1058,plain,
% 18.90/12.48 ((~v1(constB7)) <=> (~v1(constB7))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1059,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 18.90/12.48 tff(1060,plain,
% 18.90/12.48 (~v1(constB7)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 18.90/12.48 tff(1061,plain,
% 18.90/12.48 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1062,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 18.90/12.48 tff(1063,plain,
% 18.90/12.48 (nextState(constB6, constB7)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 18.90/12.48 tff(1064,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1065,plain,
% 18.90/12.48 (((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1066,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7))))),
% 18.90/12.48 inference(monotonicity,[status(thm)],[1065])).
% 18.90/12.48 tff(1067,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 18.90/12.48 inference(transitivity,[status(thm)],[1066, 1064])).
% 18.90/12.48 tff(1068,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1069,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 18.90/12.48 tff(1070,plain,
% 18.90/12.48 (~v95(constB7)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1069, 89, 1063, 1060])).
% 18.90/12.48 tff(1071,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1072,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1073,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 18.90/12.48 tff(1074,plain,
% 18.90/12.48 (v95(constB7) | (~v94(constB7))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1073, 106, 1063])).
% 18.90/12.48 tff(1075,plain,
% 18.90/12.48 (~v94(constB7)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1074, 1070])).
% 18.90/12.48 tff(1076,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1077,plain,
% 18.90/12.48 (((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2))) <=> (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1078,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2))))),
% 18.90/12.48 inference(monotonicity,[status(thm)],[1077])).
% 18.90/12.48 tff(1079,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 18.90/12.48 inference(transitivity,[status(thm)],[1078, 1076])).
% 18.90/12.48 tff(1080,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1081,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 18.90/12.48 tff(1082,plain,
% 18.90/12.48 (v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1081, 121, 1063])).
% 18.90/12.48 tff(1083,plain,
% 18.90/12.48 (v84(constB6, bitIndex2) | (~v84(constB7, bitIndex2))),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1082, 1075])).
% 18.90/12.48 tff(1084,plain,
% 18.90/12.48 (~v84(constB7, bitIndex2)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1083, 1057])).
% 18.90/12.48 tff(1085,plain,
% 18.90/12.48 (^[VarCurr: $i] : refl(((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 18.90/12.48 inference(bind,[status(th)],[])).
% 18.90/12.48 tff(1086,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.48 inference(quant_intro,[status(thm)],[1085])).
% 18.90/12.48 tff(1087,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1088,plain,
% 18.90/12.48 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 18.90/12.48 inference(bind,[status(th)],[])).
% 18.90/12.48 tff(1089,plain,
% 18.90/12.48 (![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.48 inference(quant_intro,[status(thm)],[1088])).
% 18.90/12.48 tff(1090,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_2')).
% 18.90/12.48 tff(1091,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1090, 1089])).
% 18.90/12.48 tff(1092,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1091, 1087])).
% 18.90/12.48 tff(1093,plain,(
% 18.90/12.48 ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.48 inference(skolemize,[status(sab)],[1092])).
% 18.90/12.48 tff(1094,plain,
% 18.90/12.48 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1093, 1086])).
% 18.90/12.48 tff(1095,plain,
% 18.90/12.48 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB5)) | v124(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB5)) | v124(constB5, bitIndex1))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1096,plain,
% 18.90/12.48 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB5)) | v124(constB5, bitIndex1))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1097,plain,
% 18.90/12.48 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB5)) | v124(constB5, bitIndex1)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1096, 1095])).
% 18.90/12.48 tff(1098,plain,
% 18.90/12.48 (v124(constB5, bitIndex1)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1097, 1094, 949])).
% 18.90/12.48 tff(1099,plain,
% 18.90/12.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB5) | (~v124(constB5, bitIndex1)) | v121(constB5, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB5) | (~v124(constB5, bitIndex1)) | v121(constB5, bitIndex1))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1100,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB5) | (~v124(constB5, bitIndex1)) | v121(constB5, bitIndex1))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1101,plain,
% 18.90/12.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB5) | (~v124(constB5, bitIndex1)) | v121(constB5, bitIndex1)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1100, 1099])).
% 18.90/12.48 tff(1102,plain,
% 18.90/12.48 (v26(constB5) | v121(constB5, bitIndex1)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1101, 804, 1098])).
% 18.90/12.48 tff(1103,plain,
% 18.90/12.48 (v121(constB5, bitIndex1)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1102, 65])).
% 18.90/12.48 tff(1104,plain,
% 18.90/12.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1105,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1))),
% 18.90/12.48 inference(quant_inst,[status(thm)],[])).
% 18.90/12.48 tff(1106,plain,
% 18.90/12.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1)),
% 18.90/12.48 inference(modus_ponens,[status(thm)],[1105, 1104])).
% 18.90/12.48 tff(1107,plain,
% 18.90/12.48 ((~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1106, 819, 988])).
% 18.90/12.48 tff(1108,plain,
% 18.90/12.48 (v123(constB6, bitIndex1)),
% 18.90/12.48 inference(unit_resolution,[status(thm)],[1107, 1103])).
% 18.90/12.48 tff(1109,plain,
% 18.90/12.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1110,plain,
% 18.90/12.48 ((v84(constB6, bitIndex1) | (~v94(constB6)) | (~v123(constB6, bitIndex1))) <=> (v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6)))),
% 18.90/12.48 inference(rewrite,[status(thm)],[])).
% 18.90/12.48 tff(1111,plain,
% 18.90/12.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v94(constB6)) | (~v123(constB6, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6))))),
% 18.90/12.48 inference(monotonicity,[status(thm)],[1110])).
% 18.90/12.48 tff(1112,plain,
% 18.90/12.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v94(constB6)) | (~v123(constB6, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6)))),
% 18.90/12.49 inference(transitivity,[status(thm)],[1111, 1109])).
% 18.90/12.49 tff(1113,plain,
% 18.90/12.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v94(constB6)) | (~v123(constB6, bitIndex1)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1114,plain,
% 18.90/12.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1113, 1112])).
% 18.90/12.49 tff(1115,plain,
% 18.90/12.49 (v84(constB6, bitIndex1) | (~v94(constB6))),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1114, 834, 1108])).
% 18.90/12.49 tff(1116,plain,
% 18.90/12.49 (v84(constB6, bitIndex1)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1115, 1022])).
% 18.90/12.49 tff(1117,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1118,plain,
% 18.90/12.49 (((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1)) <=> ((~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1119,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1)))),
% 18.90/12.49 inference(monotonicity,[status(thm)],[1118])).
% 18.90/12.49 tff(1120,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1))),
% 18.90/12.49 inference(transitivity,[status(thm)],[1119, 1117])).
% 18.90/12.49 tff(1121,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1122,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 18.90/12.49 tff(1123,plain,
% 18.90/12.49 ((~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1122, 852, 1063])).
% 18.90/12.49 tff(1124,plain,
% 18.90/12.49 ((~v84(constB6, bitIndex1)) | v84(constB7, bitIndex1)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1123, 1075])).
% 18.90/12.49 tff(1125,plain,
% 18.90/12.49 (v84(constB7, bitIndex1)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1124, 1116])).
% 18.90/12.49 tff(1126,plain,
% 18.90/12.49 (^[VarCurr: $i] : refl(((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1127,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.49 inference(quant_intro,[status(thm)],[1126])).
% 18.90/12.49 tff(1128,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1129,plain,
% 18.90/12.49 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex0) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1130,plain,
% 18.90/12.49 (![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.49 inference(quant_intro,[status(thm)],[1129])).
% 18.90/12.49 tff(1131,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1')).
% 18.90/12.49 tff(1132,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 18.90/12.49 tff(1133,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1132, 1128])).
% 18.90/12.49 tff(1134,plain,(
% 18.90/12.49 ![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.49 inference(skolemize,[status(sab)],[1133])).
% 18.90/12.49 tff(1135,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1134, 1127])).
% 18.90/12.49 tff(1136,plain,
% 18.90/12.49 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB5)) | v124(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB5)) | v124(constB5, bitIndex0))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1137,plain,
% 18.90/12.49 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB5)) | v124(constB5, bitIndex0))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1138,plain,
% 18.90/12.49 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB5)) | v124(constB5, bitIndex0)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 18.90/12.49 tff(1139,plain,
% 18.90/12.49 (v124(constB5, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1138, 1135, 949])).
% 18.90/12.49 tff(1140,plain,
% 18.90/12.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1141,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1142,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 18.90/12.49 tff(1143,plain,
% 18.90/12.49 (v26(constB5) | v121(constB5, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1142, 557, 1139])).
% 18.90/12.49 tff(1144,plain,
% 18.90/12.49 (v121(constB5, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1143, 65])).
% 18.90/12.49 tff(1145,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1146,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1147,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1146, 1145])).
% 18.90/12.49 tff(1148,plain,
% 18.90/12.49 ((~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1147, 572, 988])).
% 18.90/12.49 tff(1149,plain,
% 18.90/12.49 (v123(constB6, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1148, 1144])).
% 18.90/12.49 tff(1150,plain,
% 18.90/12.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1151,plain,
% 18.90/12.49 ((v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0))) <=> (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1152,plain,
% 18.90/12.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6))))),
% 18.90/12.49 inference(monotonicity,[status(thm)],[1151])).
% 18.90/12.49 tff(1153,plain,
% 18.90/12.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 18.90/12.49 inference(transitivity,[status(thm)],[1152, 1150])).
% 18.90/12.49 tff(1154,plain,
% 18.90/12.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1155,plain,
% 18.90/12.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 18.90/12.49 tff(1156,plain,
% 18.90/12.49 (v84(constB6, bitIndex0) | (~v94(constB6))),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1155, 587, 1149])).
% 18.90/12.49 tff(1157,plain,
% 18.90/12.49 (v84(constB6, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1156, 1022])).
% 18.90/12.49 tff(1158,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1159,plain,
% 18.90/12.49 (((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0)) <=> ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1160,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0)))),
% 18.90/12.49 inference(monotonicity,[status(thm)],[1159])).
% 18.90/12.49 tff(1161,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 18.90/12.49 inference(transitivity,[status(thm)],[1160, 1158])).
% 18.90/12.49 tff(1162,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1163,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 18.90/12.49 tff(1164,plain,
% 18.90/12.49 ((~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1163, 605, 1063])).
% 18.90/12.49 tff(1165,plain,
% 18.90/12.49 ((~v84(constB6, bitIndex0)) | v84(constB7, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1164, 1075])).
% 18.90/12.49 tff(1166,plain,
% 18.90/12.49 (v84(constB7, bitIndex0)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1165, 1157])).
% 18.90/12.49 tff(1167,plain,
% 18.90/12.49 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1168,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 18.90/12.49 inference(quant_intro,[status(thm)],[1167])).
% 18.90/12.49 tff(1169,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1170,plain,
% 18.90/12.49 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr))), ((((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> (((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr)) | v84(VarCurr, bitIndex2)))), rewrite((((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))), ((((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1171,plain,
% 18.90/12.49 (![VarCurr: $i] : (((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 18.90/12.49 inference(quant_intro,[status(thm)],[1170])).
% 18.90/12.49 tff(1172,axiom,(![VarCurr: $i] : (((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 18.90/12.49 tff(1173,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1172, 1171])).
% 18.90/12.49 tff(1174,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1173, 1169])).
% 18.90/12.49 tff(1175,plain,(
% 18.90/12.49 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 18.90/12.49 inference(skolemize,[status(sab)],[1174])).
% 18.90/12.49 tff(1176,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1175, 1168])).
% 18.90/12.49 tff(1177,plain,
% 18.90/12.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB7, bitIndex0)) | (~v84(constB7, bitIndex1)) | v84(constB7, bitIndex2) | v116(constB7))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB7, bitIndex0)) | (~v84(constB7, bitIndex1)) | v84(constB7, bitIndex2) | v116(constB7))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1178,plain,
% 18.90/12.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB7, bitIndex0)) | (~v84(constB7, bitIndex1)) | v84(constB7, bitIndex2) | v116(constB7))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1179,plain,
% 18.90/12.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB7, bitIndex0)) | (~v84(constB7, bitIndex1)) | v84(constB7, bitIndex2) | v116(constB7)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 18.90/12.49 tff(1180,plain,
% 18.90/12.49 (v116(constB7)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1179, 1176, 1166, 1125, 1084])).
% 18.90/12.49 tff(1181,plain,
% 18.90/12.49 (^[VarCurr: $i] : refl((v110(VarCurr) | (~v116(VarCurr))) <=> (v110(VarCurr) | (~v116(VarCurr))))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1182,plain,
% 18.90/12.49 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 18.90/12.49 inference(quant_intro,[status(thm)],[1181])).
% 18.90/12.49 tff(1183,plain,
% 18.90/12.49 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1184,axiom,(![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 18.90/12.49 tff(1185,plain,
% 18.90/12.49 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1184, 1183])).
% 18.90/12.49 tff(1186,plain,(
% 18.90/12.49 ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 18.90/12.49 inference(skolemize,[status(sab)],[1185])).
% 18.90/12.49 tff(1187,plain,
% 18.90/12.49 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1186, 1182])).
% 18.90/12.49 tff(1188,plain,
% 18.90/12.49 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB7) | (~v116(constB7)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1189,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB7) | (~v116(constB7)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1190,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB7) | (~v116(constB7))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 18.90/12.49 tff(1191,plain,
% 18.90/12.49 (v110(constB7)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1190, 1187, 1180])).
% 18.90/12.49 tff(1192,plain,
% 18.90/12.49 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB7) | (~v110(constB7)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB7) | (~v110(constB7)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1193,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB7) | (~v110(constB7)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1194,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB7) | (~v110(constB7))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1193, 1192])).
% 18.90/12.49 tff(1195,plain,
% 18.90/12.49 (v109(constB7)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1194, 228, 1191])).
% 18.90/12.49 tff(1196,plain,
% 18.90/12.49 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB7) | (~v109(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB7) | (~v109(constB7)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1197,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB7) | (~v109(constB7)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1198,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB7) | (~v109(constB7))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1197, 1196])).
% 18.90/12.49 tff(1199,plain,
% 18.90/12.49 (v108(constB7)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1198, 239, 1195])).
% 18.90/12.49 tff(1200,plain,
% 18.90/12.49 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB7) | (~v108(constB7)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB7) | (~v108(constB7)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1201,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB7) | (~v108(constB7)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1202,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB7) | (~v108(constB7))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 18.90/12.49 tff(1203,plain,
% 18.90/12.49 (v107(constB7)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1202, 250, 1199])).
% 18.90/12.49 tff(1204,plain,
% 18.90/12.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB7) | (~v107(constB7)) | v106(constB7))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB7) | (~v107(constB7)) | v106(constB7))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1205,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB7) | (~v107(constB7)) | v106(constB7))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1206,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB7) | (~v107(constB7)) | v106(constB7)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 18.90/12.49 tff(1207,plain,
% 18.90/12.49 (v26(constB7) | v106(constB7)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1206, 264, 1203])).
% 18.90/12.49 tff(1208,plain,
% 18.90/12.49 (v106(constB7)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1207, 61])).
% 18.90/12.49 tff(1209,plain,
% 18.90/12.49 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB7) | (~v106(constB7)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB7) | (~v106(constB7)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1210,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB7) | (~v106(constB7)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1211,plain,
% 18.90/12.49 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB7) | (~v106(constB7))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 18.90/12.49 tff(1212,plain,
% 18.90/12.49 (v102(constB7)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1211, 276, 1208])).
% 18.90/12.49 tff(1213,plain,
% 18.90/12.49 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1214,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 18.90/12.49 tff(1215,plain,
% 18.90/12.49 (nextState(constB7, constB8)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 18.90/12.49 tff(1216,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1217,plain,
% 18.90/12.49 (((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8)) <=> ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1218,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7))))),
% 18.90/12.49 inference(monotonicity,[status(thm)],[1217])).
% 18.90/12.49 tff(1219,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 18.90/12.49 inference(transitivity,[status(thm)],[1218, 1216])).
% 18.90/12.49 tff(1220,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1221,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 18.90/12.49 tff(1222,plain,
% 18.90/12.49 (v104(constB8) | (~v102(constB7))),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1221, 293, 1215])).
% 18.90/12.49 tff(1223,plain,
% 18.90/12.49 (v104(constB8)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1222, 1212])).
% 18.90/12.49 tff(1224,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1225,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1226,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 18.90/12.49 tff(1227,plain,
% 18.90/12.49 (~v98(constB8)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1226, 311, 1215, 1060])).
% 18.90/12.49 tff(1228,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1229,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1230,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB7, constB8)) | v96(constB8) | v98(constB8)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1229, 1228])).
% 18.90/12.49 tff(1231,plain,
% 18.90/12.49 (v96(constB8) | v98(constB8)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1230, 325, 1215])).
% 18.90/12.49 tff(1232,plain,
% 18.90/12.49 (v96(constB8)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1231, 1227])).
% 18.90/12.49 tff(1233,plain,
% 18.90/12.49 (v1(constB8) <=> v1(constB8)),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1234,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 18.90/12.49 tff(1235,plain,
% 18.90/12.49 (v1(constB8)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 18.90/12.49 tff(1236,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1237,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1238,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 18.90/12.49 tff(1239,plain,
% 18.90/12.49 (v95(constB8) | (~v96(constB8))),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1238, 343, 1215, 1235])).
% 18.90/12.49 tff(1240,plain,
% 18.90/12.49 (v95(constB8)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1239, 1232])).
% 18.90/12.49 tff(1241,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1242,plain,
% 18.90/12.49 (((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8)) <=> ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1243,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8))))),
% 18.90/12.49 inference(monotonicity,[status(thm)],[1242])).
% 18.90/12.49 tff(1244,plain,
% 18.90/12.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 18.90/12.49 inference(transitivity,[status(thm)],[1243, 1241])).
% 18.90/12.49 tff(1245,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1246,plain,
% 18.90/12.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 18.90/12.49 tff(1247,plain,
% 18.90/12.49 (v94(constB8) | (~v95(constB8)) | (~v104(constB8))),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1246, 358, 1215])).
% 18.90/12.49 tff(1248,plain,
% 18.90/12.49 (v94(constB8) | (~v104(constB8))),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1247, 1240])).
% 18.90/12.49 tff(1249,plain,
% 18.90/12.49 (v94(constB8)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1248, 1223])).
% 18.90/12.49 tff(1250,plain,
% 18.90/12.49 (^[VarCurr: $i] : refl(((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1251,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.49 inference(quant_intro,[status(thm)],[1250])).
% 18.90/12.49 tff(1252,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1253,plain,
% 18.90/12.49 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex2) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1254,plain,
% 18.90/12.49 (![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.49 inference(quant_intro,[status(thm)],[1253])).
% 18.90/12.49 tff(1255,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 18.90/12.49 tff(1256,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 18.90/12.49 tff(1257,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1256, 1252])).
% 18.90/12.49 tff(1258,plain,(
% 18.90/12.49 ![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.49 inference(skolemize,[status(sab)],[1257])).
% 18.90/12.49 tff(1259,plain,
% 18.90/12.49 (![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1258, 1251])).
% 18.90/12.49 tff(1260,plain,
% 18.90/12.49 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB7)) | v124(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB7)) | v124(constB7, bitIndex2))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1261,plain,
% 18.90/12.49 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB7)) | v124(constB7, bitIndex2))),
% 18.90/12.49 inference(quant_inst,[status(thm)],[])).
% 18.90/12.49 tff(1262,plain,
% 18.90/12.49 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB7)) | v124(constB7, bitIndex2)),
% 18.90/12.49 inference(modus_ponens,[status(thm)],[1261, 1260])).
% 18.90/12.49 tff(1263,plain,
% 18.90/12.49 (v124(constB7, bitIndex2)),
% 18.90/12.49 inference(unit_resolution,[status(thm)],[1262, 1259, 1180])).
% 18.90/12.49 tff(1264,plain,
% 18.90/12.49 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1265,plain,
% 18.90/12.49 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 18.90/12.49 inference(quant_intro,[status(thm)],[1264])).
% 18.90/12.49 tff(1266,plain,
% 18.90/12.49 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 18.90/12.49 inference(rewrite,[status(thm)],[])).
% 18.90/12.49 tff(1267,plain,
% 18.90/12.49 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) <=> ((~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))), (((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (((~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) | v26(VarCurr)))), rewrite((((~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))), (((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))))),
% 18.90/12.49 inference(bind,[status(th)],[])).
% 18.90/12.49 tff(1268,plain,
% 18.90/12.49 (![VarCurr: $i] : ((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1267])).
% 18.90/12.50 tff(1269,axiom,(![VarCurr: $i] : ((v121(VarCurr, bitIndex2) | (~v124(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 18.90/12.50 tff(1270,plain,
% 18.90/12.50 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 18.90/12.50 tff(1271,plain,
% 18.90/12.50 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1270, 1266])).
% 18.90/12.50 tff(1272,plain,(
% 18.90/12.50 ![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 18.90/12.50 inference(skolemize,[status(sab)],[1271])).
% 18.90/12.50 tff(1273,plain,
% 18.90/12.50 (![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1272, 1265])).
% 18.90/12.50 tff(1274,plain,
% 18.90/12.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB7) | (~v124(constB7, bitIndex2)) | v121(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB7) | (~v124(constB7, bitIndex2)) | v121(constB7, bitIndex2))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1275,plain,
% 18.90/12.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB7) | (~v124(constB7, bitIndex2)) | v121(constB7, bitIndex2))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1276,plain,
% 18.90/12.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB7) | (~v124(constB7, bitIndex2)) | v121(constB7, bitIndex2)),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1275, 1274])).
% 18.90/12.50 tff(1277,plain,
% 18.90/12.50 (v26(constB7) | v121(constB7, bitIndex2)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1276, 1273, 1263])).
% 18.90/12.50 tff(1278,plain,
% 18.90/12.50 (v121(constB7, bitIndex2)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1277, 61])).
% 18.90/12.50 tff(1279,plain,
% 18.90/12.50 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1280,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1279])).
% 18.90/12.50 tff(1281,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1282,plain,
% 18.90/12.50 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ((~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))), (((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> (((~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))), (((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1283,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1282])).
% 18.90/12.50 tff(1284,axiom,(![VarNext: $i, VarCurr: $i] : ((v123(VarNext, bitIndex2) | (~v121(VarCurr, bitIndex2))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 18.90/12.50 tff(1285,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 18.90/12.50 tff(1286,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1285, 1281])).
% 18.90/12.50 tff(1287,plain,(
% 18.90/12.50 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 18.90/12.50 inference(skolemize,[status(sab)],[1286])).
% 18.90/12.50 tff(1288,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1287, 1280])).
% 18.90/12.50 tff(1289,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1290,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1291,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2)),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 18.90/12.50 tff(1292,plain,
% 18.90/12.50 ((~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1291, 1288, 1215])).
% 18.90/12.50 tff(1293,plain,
% 18.90/12.50 (v123(constB8, bitIndex2)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1292, 1278])).
% 18.90/12.50 tff(1294,plain,
% 18.90/12.50 (^[VarNext: $i] : refl((v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1295,plain,
% 18.90/12.50 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1294])).
% 18.90/12.50 tff(1296,plain,
% 18.90/12.50 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1297,plain,
% 18.90/12.50 (^[VarNext: $i] : trans(monotonicity(rewrite((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> (v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2)))), (((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))) <=> ((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))))), rewrite(((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))), (((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1298,plain,
% 18.90/12.50 (![VarNext: $i] : ((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext))) <=> ![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1297])).
% 18.90/12.50 tff(1299,axiom,(![VarNext: $i] : ((v84(VarNext, bitIndex2) | (~v123(VarNext, bitIndex2))) | (~v94(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 18.90/12.50 tff(1300,plain,
% 18.90/12.50 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 18.90/12.50 tff(1301,plain,
% 18.90/12.50 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1300, 1296])).
% 18.90/12.50 tff(1302,plain,(
% 18.90/12.50 ![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 18.90/12.50 inference(skolemize,[status(sab)],[1301])).
% 18.90/12.50 tff(1303,plain,
% 18.90/12.50 (![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1302, 1295])).
% 18.90/12.50 tff(1304,plain,
% 18.90/12.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1305,plain,
% 18.90/12.50 ((v84(constB8, bitIndex2) | (~v94(constB8)) | (~v123(constB8, bitIndex2))) <=> (v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1306,plain,
% 18.90/12.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v94(constB8)) | (~v123(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8))))),
% 18.90/12.50 inference(monotonicity,[status(thm)],[1305])).
% 18.90/12.50 tff(1307,plain,
% 18.90/12.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v94(constB8)) | (~v123(constB8, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8)))),
% 18.90/12.50 inference(transitivity,[status(thm)],[1306, 1304])).
% 18.90/12.50 tff(1308,plain,
% 18.90/12.50 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v94(constB8)) | (~v123(constB8, bitIndex2)))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1309,plain,
% 18.90/12.50 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 18.90/12.50 tff(1310,plain,
% 18.90/12.50 (v84(constB8, bitIndex2) | (~v94(constB8))),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1309, 1303, 1293])).
% 18.90/12.50 tff(1311,plain,
% 18.90/12.50 (v84(constB8, bitIndex2)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1310, 1249])).
% 18.90/12.50 tff(1312,plain,
% 18.90/12.50 ((~v1(constB9)) <=> (~v1(constB9))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1313,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 18.90/12.50 tff(1314,plain,
% 18.90/12.50 (~v1(constB9)),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 18.90/12.50 tff(1315,plain,
% 18.90/12.50 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1316,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 18.90/12.50 tff(1317,plain,
% 18.90/12.50 (nextState(constB8, constB9)),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 18.90/12.50 tff(1318,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1319,plain,
% 18.90/12.50 (((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1320,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9))))),
% 18.90/12.50 inference(monotonicity,[status(thm)],[1319])).
% 18.90/12.50 tff(1321,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 18.90/12.50 inference(transitivity,[status(thm)],[1320, 1318])).
% 18.90/12.50 tff(1322,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1323,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 18.90/12.50 tff(1324,plain,
% 18.90/12.50 (~v95(constB9)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1323, 89, 1317, 1314])).
% 18.90/12.50 tff(1325,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1326,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1327,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1326, 1325])).
% 18.90/12.50 tff(1328,plain,
% 18.90/12.50 (v95(constB9) | (~v94(constB9))),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1327, 106, 1317])).
% 18.90/12.50 tff(1329,plain,
% 18.90/12.50 (~v94(constB9)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1328, 1324])).
% 18.90/12.50 tff(1330,plain,
% 18.90/12.50 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1331,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1330])).
% 18.90/12.50 tff(1332,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1333,plain,
% 18.90/12.50 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) <=> ((~v84(VarCurr, bitIndex2)) | v84(VarNext, bitIndex2))), (((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) <=> (((~v84(VarCurr, bitIndex2)) | v84(VarNext, bitIndex2)) | v94(VarNext)))), rewrite((((~v84(VarCurr, bitIndex2)) | v84(VarNext, bitIndex2)) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))), (((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) <=> ((~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)))), ((((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))), ((((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1334,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1333])).
% 18.90/12.50 tff(1335,axiom,(![VarNext: $i, VarCurr: $i] : (((v84(VarNext, bitIndex2) | (~v84(VarCurr, bitIndex2))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 18.90/12.50 tff(1336,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 18.90/12.50 tff(1337,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1336, 1332])).
% 18.90/12.50 tff(1338,plain,(
% 18.90/12.50 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 18.90/12.50 inference(skolemize,[status(sab)],[1337])).
% 18.90/12.50 tff(1339,plain,
% 18.90/12.50 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1338, 1331])).
% 18.90/12.50 tff(1340,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1341,plain,
% 18.90/12.50 (((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2)) <=> ((~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1342,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2)))),
% 18.90/12.50 inference(monotonicity,[status(thm)],[1341])).
% 18.90/12.50 tff(1343,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2))),
% 18.90/12.50 inference(transitivity,[status(thm)],[1342, 1340])).
% 18.90/12.50 tff(1344,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1345,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2)),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 18.90/12.50 tff(1346,plain,
% 18.90/12.50 ((~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1345, 1339, 1317])).
% 18.90/12.50 tff(1347,plain,
% 18.90/12.50 ((~v84(constB8, bitIndex2)) | v84(constB9, bitIndex2)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1346, 1329])).
% 18.90/12.50 tff(1348,plain,
% 18.90/12.50 (v84(constB9, bitIndex2)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1347, 1311])).
% 18.90/12.50 tff(1349,plain,
% 18.90/12.50 (^[VarCurr: $i] : refl(((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1350,plain,
% 18.90/12.50 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1349])).
% 18.90/12.50 tff(1351,plain,
% 18.90/12.50 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1352,plain,
% 18.90/12.50 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex1)) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1353,plain,
% 18.90/12.50 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1352])).
% 18.90/12.50 tff(1354,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 18.90/12.50 tff(1355,plain,
% 18.90/12.50 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 18.90/12.50 tff(1356,plain,
% 18.90/12.50 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1355, 1351])).
% 18.90/12.50 tff(1357,plain,(
% 18.90/12.50 ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.50 inference(skolemize,[status(sab)],[1356])).
% 18.90/12.50 tff(1358,plain,
% 18.90/12.50 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1357, 1350])).
% 18.90/12.50 tff(1359,plain,
% 18.90/12.50 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB7)) | (~v124(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB7)) | (~v124(constB7, bitIndex1)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1360,plain,
% 18.90/12.50 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB7)) | (~v124(constB7, bitIndex1)))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1361,plain,
% 18.90/12.50 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB7)) | (~v124(constB7, bitIndex1))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 18.90/12.50 tff(1362,plain,
% 18.90/12.50 (~v124(constB7, bitIndex1)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1361, 1358, 1180])).
% 18.90/12.50 tff(1363,plain,
% 18.90/12.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1364,plain,
% 18.90/12.50 ((v26(constB7) | v124(constB7, bitIndex1) | (~v121(constB7, bitIndex1))) <=> ((~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1365,plain,
% 18.90/12.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB7) | v124(constB7, bitIndex1) | (~v121(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1)))),
% 18.90/12.50 inference(monotonicity,[status(thm)],[1364])).
% 18.90/12.50 tff(1366,plain,
% 18.90/12.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB7) | v124(constB7, bitIndex1) | (~v121(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1))),
% 18.90/12.50 inference(transitivity,[status(thm)],[1365, 1363])).
% 18.90/12.50 tff(1367,plain,
% 18.90/12.50 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB7) | v124(constB7, bitIndex1) | (~v121(constB7, bitIndex1)))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1368,plain,
% 18.90/12.50 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1)),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 18.90/12.50 tff(1369,plain,
% 18.90/12.50 ((~v121(constB7, bitIndex1)) | v26(constB7)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1368, 483, 1362])).
% 18.90/12.50 tff(1370,plain,
% 18.90/12.50 (~v121(constB7, bitIndex1)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1369, 61])).
% 18.90/12.50 tff(1371,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1372,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1)))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1373,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 18.90/12.50 tff(1374,plain,
% 18.90/12.50 (v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1))),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1373, 501, 1215])).
% 18.90/12.50 tff(1375,plain,
% 18.90/12.50 (~v123(constB8, bitIndex1)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1374, 1370])).
% 18.90/12.50 tff(1376,plain,
% 18.90/12.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1377,plain,
% 18.90/12.50 (((~v84(constB8, bitIndex1)) | (~v94(constB8)) | v123(constB8, bitIndex1)) <=> ((~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1378,plain,
% 18.90/12.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~v94(constB8)) | v123(constB8, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8))))),
% 18.90/12.50 inference(monotonicity,[status(thm)],[1377])).
% 18.90/12.50 tff(1379,plain,
% 18.90/12.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~v94(constB8)) | v123(constB8, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8)))),
% 18.90/12.50 inference(transitivity,[status(thm)],[1378, 1376])).
% 18.90/12.50 tff(1380,plain,
% 18.90/12.50 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~v94(constB8)) | v123(constB8, bitIndex1))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1381,plain,
% 18.90/12.50 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1380, 1379])).
% 18.90/12.50 tff(1382,plain,
% 18.90/12.50 ((~v84(constB8, bitIndex1)) | (~v94(constB8))),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1381, 516, 1375])).
% 18.90/12.50 tff(1383,plain,
% 18.90/12.50 (~v84(constB8, bitIndex1)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1382, 1249])).
% 18.90/12.50 tff(1384,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1385,plain,
% 18.90/12.50 (((~nextState(constB8, constB9)) | v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1))) <=> (v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1386,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1))))),
% 18.90/12.50 inference(monotonicity,[status(thm)],[1385])).
% 18.90/12.50 tff(1387,plain,
% 18.90/12.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1)))),
% 18.90/12.50 inference(transitivity,[status(thm)],[1386, 1384])).
% 18.90/12.50 tff(1388,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1)))),
% 18.90/12.50 inference(quant_inst,[status(thm)],[])).
% 18.90/12.50 tff(1389,plain,
% 18.90/12.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1))),
% 18.90/12.50 inference(modus_ponens,[status(thm)],[1388, 1387])).
% 18.90/12.50 tff(1390,plain,
% 18.90/12.50 (v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1))),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1389, 142, 1317])).
% 18.90/12.50 tff(1391,plain,
% 18.90/12.50 (v84(constB8, bitIndex1) | (~v84(constB9, bitIndex1))),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1390, 1329])).
% 18.90/12.50 tff(1392,plain,
% 18.90/12.50 (~v84(constB9, bitIndex1)),
% 18.90/12.50 inference(unit_resolution,[status(thm)],[1391, 1383])).
% 18.90/12.50 tff(1393,plain,
% 18.90/12.50 (^[VarCurr: $i] : refl(((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 18.90/12.50 inference(bind,[status(th)],[])).
% 18.90/12.50 tff(1394,plain,
% 18.90/12.50 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.50 inference(quant_intro,[status(thm)],[1393])).
% 18.90/12.50 tff(1395,plain,
% 18.90/12.50 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.50 inference(rewrite,[status(thm)],[])).
% 18.90/12.50 tff(1396,plain,
% 18.90/12.50 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex0)) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 18.90/12.51 inference(bind,[status(th)],[])).
% 18.90/12.51 tff(1397,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.51 inference(quant_intro,[status(thm)],[1396])).
% 18.90/12.51 tff(1398,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 18.90/12.51 tff(1399,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1398, 1397])).
% 18.90/12.51 tff(1400,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1399, 1395])).
% 18.90/12.51 tff(1401,plain,(
% 18.90/12.51 ![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.51 inference(skolemize,[status(sab)],[1400])).
% 18.90/12.51 tff(1402,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1401, 1394])).
% 18.90/12.51 tff(1403,plain,
% 18.90/12.51 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB7)) | (~v124(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB7)) | (~v124(constB7, bitIndex0)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1404,plain,
% 18.90/12.51 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB7)) | (~v124(constB7, bitIndex0)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1405,plain,
% 18.90/12.51 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB7)) | (~v124(constB7, bitIndex0))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1404, 1403])).
% 18.90/12.51 tff(1406,plain,
% 18.90/12.51 (~v124(constB7, bitIndex0)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1405, 1402, 1180])).
% 18.90/12.51 tff(1407,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1408,plain,
% 18.90/12.51 ((v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0))) <=> ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1409,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0)))),
% 18.90/12.51 inference(monotonicity,[status(thm)],[1408])).
% 18.90/12.51 tff(1410,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 18.90/12.51 inference(transitivity,[status(thm)],[1409, 1407])).
% 18.90/12.51 tff(1411,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1412,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0)),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 18.90/12.51 tff(1413,plain,
% 18.90/12.51 ((~v121(constB7, bitIndex0)) | v26(constB7)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1412, 885, 1406])).
% 18.90/12.51 tff(1414,plain,
% 18.90/12.51 (~v121(constB7, bitIndex0)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1413, 61])).
% 18.90/12.51 tff(1415,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1416,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1417,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 18.90/12.51 tff(1418,plain,
% 18.90/12.51 (v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0))),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1417, 903, 1215])).
% 18.90/12.51 tff(1419,plain,
% 18.90/12.51 (~v123(constB8, bitIndex0)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1418, 1414])).
% 18.90/12.51 tff(1420,plain,
% 18.90/12.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1421,plain,
% 18.90/12.51 (((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0)) <=> ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1422,plain,
% 18.90/12.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8))))),
% 18.90/12.51 inference(monotonicity,[status(thm)],[1421])).
% 18.90/12.51 tff(1423,plain,
% 18.90/12.51 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 18.90/12.51 inference(transitivity,[status(thm)],[1422, 1420])).
% 18.90/12.51 tff(1424,plain,
% 18.90/12.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1425,plain,
% 18.90/12.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 18.90/12.51 tff(1426,plain,
% 18.90/12.51 ((~v84(constB8, bitIndex0)) | (~v94(constB8))),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1425, 918, 1419])).
% 18.90/12.51 tff(1427,plain,
% 18.90/12.51 (~v84(constB8, bitIndex0)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1426, 1249])).
% 18.90/12.51 tff(1428,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1429,plain,
% 18.90/12.51 (((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0))) <=> (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1430,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0))))),
% 18.90/12.51 inference(monotonicity,[status(thm)],[1429])).
% 18.90/12.51 tff(1431,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 18.90/12.51 inference(transitivity,[status(thm)],[1430, 1428])).
% 18.90/12.51 tff(1432,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1433,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 18.90/12.51 tff(1434,plain,
% 18.90/12.51 (v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0))),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1433, 163, 1317])).
% 18.90/12.51 tff(1435,plain,
% 18.90/12.51 (v84(constB8, bitIndex0) | (~v84(constB9, bitIndex0))),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1434, 1329])).
% 18.90/12.51 tff(1436,plain,
% 18.90/12.51 (~v84(constB9, bitIndex0)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1435, 1427])).
% 18.90/12.51 tff(1437,plain,
% 18.90/12.51 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)))),
% 18.90/12.51 inference(bind,[status(th)],[])).
% 18.90/12.51 tff(1438,plain,
% 18.90/12.51 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 18.90/12.51 inference(quant_intro,[status(thm)],[1437])).
% 18.90/12.51 tff(1439,plain,
% 18.90/12.51 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1440,plain,
% 18.90/12.51 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) <=> (v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))), ((((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite(((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))), ((((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))))),
% 18.90/12.51 inference(bind,[status(th)],[])).
% 18.90/12.51 tff(1441,plain,
% 18.90/12.51 (![VarCurr: $i] : (((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 18.90/12.51 inference(quant_intro,[status(thm)],[1440])).
% 18.90/12.51 tff(1442,axiom,(![VarCurr: $i] : (((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 18.90/12.51 tff(1443,plain,
% 18.90/12.51 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1442, 1441])).
% 18.90/12.51 tff(1444,plain,
% 18.90/12.51 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1443, 1439])).
% 18.90/12.51 tff(1445,plain,(
% 18.90/12.51 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 18.90/12.51 inference(skolemize,[status(sab)],[1444])).
% 18.90/12.51 tff(1446,plain,
% 18.90/12.51 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1445, 1438])).
% 18.90/12.51 tff(1447,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)) | v172(constB9))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)) | v172(constB9))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1448,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)) | v172(constB9))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1449,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)) | v172(constB9)),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 18.90/12.51 tff(1450,plain,
% 18.90/12.51 (v172(constB9)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1449, 1446, 1436, 1392, 1348])).
% 18.90/12.51 tff(1451,plain,
% 18.90/12.51 (^[VarCurr: $i] : refl((v109(VarCurr) | (~v172(VarCurr))) <=> (v109(VarCurr) | (~v172(VarCurr))))),
% 18.90/12.51 inference(bind,[status(th)],[])).
% 18.90/12.51 tff(1452,plain,
% 18.90/12.51 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 18.90/12.51 inference(quant_intro,[status(thm)],[1451])).
% 18.90/12.51 tff(1453,plain,
% 18.90/12.51 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1454,axiom,(![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_1')).
% 18.90/12.51 tff(1455,plain,
% 18.90/12.51 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 18.90/12.51 tff(1456,plain,(
% 18.90/12.51 ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 18.90/12.51 inference(skolemize,[status(sab)],[1455])).
% 18.90/12.51 tff(1457,plain,
% 18.90/12.51 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1456, 1452])).
% 18.90/12.51 tff(1458,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB9) | (~v172(constB9)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB9) | (~v172(constB9)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1459,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB9) | (~v172(constB9)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1460,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB9) | (~v172(constB9))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 18.90/12.51 tff(1461,plain,
% 18.90/12.51 (v109(constB9)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1460, 1457, 1450])).
% 18.90/12.51 tff(1462,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB9) | (~v109(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB9) | (~v109(constB9)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1463,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB9) | (~v109(constB9)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1464,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB9) | (~v109(constB9))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 18.90/12.51 tff(1465,plain,
% 18.90/12.51 (v108(constB9)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1464, 239, 1461])).
% 18.90/12.51 tff(1466,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB9) | (~v108(constB9)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB9) | (~v108(constB9)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1467,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB9) | (~v108(constB9)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1468,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB9) | (~v108(constB9))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 18.90/12.51 tff(1469,plain,
% 18.90/12.51 (v107(constB9)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1468, 250, 1465])).
% 18.90/12.51 tff(1470,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | v106(constB9) | (~v107(constB9)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1471,plain,
% 18.90/12.51 ((v26(constB9) | (~v107(constB9)) | v106(constB9)) <=> (v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1472,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | v106(constB9) | (~v107(constB9))))),
% 18.90/12.51 inference(monotonicity,[status(thm)],[1471])).
% 18.90/12.51 tff(1473,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 18.90/12.51 inference(transitivity,[status(thm)],[1472, 1470])).
% 18.90/12.51 tff(1474,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1475,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 18.90/12.51 tff(1476,plain,
% 18.90/12.51 (v26(constB9) | v106(constB9)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1475, 264, 1469])).
% 18.90/12.51 tff(1477,plain,
% 18.90/12.51 (v106(constB9)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1476, 57])).
% 18.90/12.51 tff(1478,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB9) | (~v106(constB9)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB9) | (~v106(constB9)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1479,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB9) | (~v106(constB9)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1480,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB9) | (~v106(constB9))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 18.90/12.51 tff(1481,plain,
% 18.90/12.51 (v102(constB9)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1480, 276, 1477])).
% 18.90/12.51 tff(1482,plain,
% 18.90/12.51 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1483,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 18.90/12.51 tff(1484,plain,
% 18.90/12.51 (nextState(constB9, constB10)),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 18.90/12.51 tff(1485,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1486,plain,
% 18.90/12.51 (((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10)) <=> ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1487,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9))))),
% 18.90/12.51 inference(monotonicity,[status(thm)],[1486])).
% 18.90/12.51 tff(1488,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 18.90/12.51 inference(transitivity,[status(thm)],[1487, 1485])).
% 18.90/12.51 tff(1489,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1490,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1489, 1488])).
% 18.90/12.51 tff(1491,plain,
% 18.90/12.51 (v104(constB10) | (~v102(constB9))),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1490, 293, 1484])).
% 18.90/12.51 tff(1492,plain,
% 18.90/12.51 (v104(constB10)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1491, 1481])).
% 18.90/12.51 tff(1493,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1494,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1495,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 18.90/12.51 tff(1496,plain,
% 18.90/12.51 (~v98(constB10)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1495, 311, 1484, 1314])).
% 18.90/12.51 tff(1497,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1498,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1499,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB9, constB10)) | v96(constB10) | v98(constB10)),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 18.90/12.51 tff(1500,plain,
% 18.90/12.51 (v96(constB10) | v98(constB10)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1499, 325, 1484])).
% 18.90/12.51 tff(1501,plain,
% 18.90/12.51 (v96(constB10)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1500, 1496])).
% 18.90/12.51 tff(1502,plain,
% 18.90/12.51 (v1(constB10) <=> v1(constB10)),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1503,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 18.90/12.51 tff(1504,plain,
% 18.90/12.51 (v1(constB10)),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 18.90/12.51 tff(1505,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1506,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1507,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 18.90/12.51 tff(1508,plain,
% 18.90/12.51 (v95(constB10) | (~v96(constB10))),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1507, 343, 1484, 1504])).
% 18.90/12.51 tff(1509,plain,
% 18.90/12.51 (v95(constB10)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1508, 1501])).
% 18.90/12.51 tff(1510,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1511,plain,
% 18.90/12.51 (((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10)) <=> ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1512,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10))))),
% 18.90/12.51 inference(monotonicity,[status(thm)],[1511])).
% 18.90/12.51 tff(1513,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 18.90/12.51 inference(transitivity,[status(thm)],[1512, 1510])).
% 18.90/12.51 tff(1514,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1515,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1514, 1513])).
% 18.90/12.51 tff(1516,plain,
% 18.90/12.51 (v94(constB10) | (~v95(constB10)) | (~v104(constB10))),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1515, 358, 1484])).
% 18.90/12.51 tff(1517,plain,
% 18.90/12.51 (v94(constB10) | (~v104(constB10))),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1516, 1509])).
% 18.90/12.51 tff(1518,plain,
% 18.90/12.51 (v94(constB10)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1517, 1492])).
% 18.90/12.51 tff(1519,plain,
% 18.90/12.51 (^[VarCurr: $i] : refl(((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 18.90/12.51 inference(bind,[status(th)],[])).
% 18.90/12.51 tff(1520,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.51 inference(quant_intro,[status(thm)],[1519])).
% 18.90/12.51 tff(1521,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1522,plain,
% 18.90/12.51 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 18.90/12.51 inference(bind,[status(th)],[])).
% 18.90/12.51 tff(1523,plain,
% 18.90/12.51 (![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.51 inference(quant_intro,[status(thm)],[1522])).
% 18.90/12.51 tff(1524,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_3')).
% 18.90/12.51 tff(1525,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1524, 1523])).
% 18.90/12.51 tff(1526,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1525, 1521])).
% 18.90/12.51 tff(1527,plain,(
% 18.90/12.51 ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.51 inference(skolemize,[status(sab)],[1526])).
% 18.90/12.51 tff(1528,plain,
% 18.90/12.51 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1527, 1520])).
% 18.90/12.51 tff(1529,plain,
% 18.90/12.51 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB9)) | v124(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB9)) | v124(constB9, bitIndex2))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1530,plain,
% 18.90/12.51 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB9)) | v124(constB9, bitIndex2))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1531,plain,
% 18.90/12.51 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB9)) | v124(constB9, bitIndex2)),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1530, 1529])).
% 18.90/12.51 tff(1532,plain,
% 18.90/12.51 (v124(constB9, bitIndex2)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1531, 1528, 1450])).
% 18.90/12.51 tff(1533,plain,
% 18.90/12.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB9) | (~v124(constB9, bitIndex2)) | v121(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB9) | (~v124(constB9, bitIndex2)) | v121(constB9, bitIndex2))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1534,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB9) | (~v124(constB9, bitIndex2)) | v121(constB9, bitIndex2))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1535,plain,
% 18.90/12.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB9) | (~v124(constB9, bitIndex2)) | v121(constB9, bitIndex2)),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 18.90/12.51 tff(1536,plain,
% 18.90/12.51 (v26(constB9) | v121(constB9, bitIndex2)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1535, 1273, 1532])).
% 18.90/12.51 tff(1537,plain,
% 18.90/12.51 (v121(constB9, bitIndex2)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1536, 57])).
% 18.90/12.51 tff(1538,plain,
% 18.90/12.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1539,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2))),
% 18.90/12.51 inference(quant_inst,[status(thm)],[])).
% 18.90/12.51 tff(1540,plain,
% 18.90/12.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2)),
% 18.90/12.51 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 18.90/12.51 tff(1541,plain,
% 18.90/12.51 ((~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1540, 1288, 1484])).
% 18.90/12.51 tff(1542,plain,
% 18.90/12.51 (v123(constB10, bitIndex2)),
% 18.90/12.51 inference(unit_resolution,[status(thm)],[1541, 1537])).
% 18.90/12.51 tff(1543,plain,
% 18.90/12.51 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1544,plain,
% 18.90/12.51 ((v84(constB10, bitIndex2) | (~v94(constB10)) | (~v123(constB10, bitIndex2))) <=> (v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10)))),
% 18.90/12.51 inference(rewrite,[status(thm)],[])).
% 18.90/12.51 tff(1545,plain,
% 18.90/12.51 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v94(constB10)) | (~v123(constB10, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10))))),
% 18.90/12.51 inference(monotonicity,[status(thm)],[1544])).
% 18.90/12.51 tff(1546,plain,
% 18.90/12.51 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v94(constB10)) | (~v123(constB10, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10)))),
% 18.90/12.51 inference(transitivity,[status(thm)],[1545, 1543])).
% 18.90/12.51 tff(1547,plain,
% 18.90/12.51 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v94(constB10)) | (~v123(constB10, bitIndex2)))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1548,plain,
% 18.90/12.52 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 18.90/12.52 tff(1549,plain,
% 18.90/12.52 (v84(constB10, bitIndex2) | (~v94(constB10))),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1548, 1303, 1542])).
% 18.90/12.52 tff(1550,plain,
% 18.90/12.52 (v84(constB10, bitIndex2)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1549, 1518])).
% 18.90/12.52 tff(1551,plain,
% 18.90/12.52 ((~v1(constB11)) <=> (~v1(constB11))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1552,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 18.90/12.52 tff(1553,plain,
% 18.90/12.52 (~v1(constB11)),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 18.90/12.52 tff(1554,plain,
% 18.90/12.52 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1555,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 18.90/12.52 tff(1556,plain,
% 18.90/12.52 (nextState(constB10, constB11)),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 18.90/12.52 tff(1557,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1558,plain,
% 18.90/12.52 (((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1559,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11))))),
% 18.90/12.52 inference(monotonicity,[status(thm)],[1558])).
% 18.90/12.52 tff(1560,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 18.90/12.52 inference(transitivity,[status(thm)],[1559, 1557])).
% 18.90/12.52 tff(1561,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1562,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 18.90/12.52 tff(1563,plain,
% 18.90/12.52 (~v95(constB11)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1562, 89, 1556, 1553])).
% 18.90/12.52 tff(1564,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1565,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1566,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1565, 1564])).
% 18.90/12.52 tff(1567,plain,
% 18.90/12.52 (v95(constB11) | (~v94(constB11))),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1566, 106, 1556])).
% 18.90/12.52 tff(1568,plain,
% 18.90/12.52 (~v94(constB11)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1567, 1563])).
% 18.90/12.52 tff(1569,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1570,plain,
% 18.90/12.52 (((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2)) <=> ((~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1571,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2)))),
% 18.90/12.52 inference(monotonicity,[status(thm)],[1570])).
% 18.90/12.52 tff(1572,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2))),
% 18.90/12.52 inference(transitivity,[status(thm)],[1571, 1569])).
% 18.90/12.52 tff(1573,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1574,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2)),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1573, 1572])).
% 18.90/12.52 tff(1575,plain,
% 18.90/12.52 ((~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1574, 1339, 1556])).
% 18.90/12.52 tff(1576,plain,
% 18.90/12.52 ((~v84(constB10, bitIndex2)) | v84(constB11, bitIndex2)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1575, 1568])).
% 18.90/12.52 tff(1577,plain,
% 18.90/12.52 (v84(constB11, bitIndex2)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1576, 1550])).
% 18.90/12.52 tff(1578,plain,
% 18.90/12.52 (^[VarCurr: $i] : refl(((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 18.90/12.52 inference(bind,[status(th)],[])).
% 18.90/12.52 tff(1579,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.52 inference(quant_intro,[status(thm)],[1578])).
% 18.90/12.52 tff(1580,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1581,plain,
% 18.90/12.52 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 18.90/12.52 inference(bind,[status(th)],[])).
% 18.90/12.52 tff(1582,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.52 inference(quant_intro,[status(thm)],[1581])).
% 18.90/12.52 tff(1583,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex1)) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_2')).
% 18.90/12.52 tff(1584,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 18.90/12.52 tff(1585,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1584, 1580])).
% 18.90/12.52 tff(1586,plain,(
% 18.90/12.52 ![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.52 inference(skolemize,[status(sab)],[1585])).
% 18.90/12.52 tff(1587,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1586, 1579])).
% 18.90/12.52 tff(1588,plain,
% 18.90/12.52 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB9)) | (~v124(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB9)) | (~v124(constB9, bitIndex1)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1589,plain,
% 18.90/12.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB9)) | (~v124(constB9, bitIndex1)))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1590,plain,
% 18.90/12.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB9)) | (~v124(constB9, bitIndex1))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 18.90/12.52 tff(1591,plain,
% 18.90/12.52 (~v124(constB9, bitIndex1)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1590, 1587, 1450])).
% 18.90/12.52 tff(1592,plain,
% 18.90/12.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1593,plain,
% 18.90/12.52 ((v26(constB9) | v124(constB9, bitIndex1) | (~v121(constB9, bitIndex1))) <=> ((~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1594,plain,
% 18.90/12.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB9) | v124(constB9, bitIndex1) | (~v121(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1)))),
% 18.90/12.52 inference(monotonicity,[status(thm)],[1593])).
% 18.90/12.52 tff(1595,plain,
% 18.90/12.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB9) | v124(constB9, bitIndex1) | (~v121(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1))),
% 18.90/12.52 inference(transitivity,[status(thm)],[1594, 1592])).
% 18.90/12.52 tff(1596,plain,
% 18.90/12.52 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB9) | v124(constB9, bitIndex1) | (~v121(constB9, bitIndex1)))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1597,plain,
% 18.90/12.52 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1)),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 18.90/12.52 tff(1598,plain,
% 18.90/12.52 ((~v121(constB9, bitIndex1)) | v26(constB9)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1597, 483, 1591])).
% 18.90/12.52 tff(1599,plain,
% 18.90/12.52 (~v121(constB9, bitIndex1)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1598, 57])).
% 18.90/12.52 tff(1600,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1601,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1)))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1602,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1601, 1600])).
% 18.90/12.52 tff(1603,plain,
% 18.90/12.52 (v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1))),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1602, 501, 1484])).
% 18.90/12.52 tff(1604,plain,
% 18.90/12.52 (~v123(constB10, bitIndex1)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1603, 1599])).
% 18.90/12.52 tff(1605,plain,
% 18.90/12.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1606,plain,
% 18.90/12.52 (((~v84(constB10, bitIndex1)) | (~v94(constB10)) | v123(constB10, bitIndex1)) <=> ((~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1607,plain,
% 18.90/12.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~v94(constB10)) | v123(constB10, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10))))),
% 18.90/12.52 inference(monotonicity,[status(thm)],[1606])).
% 18.90/12.52 tff(1608,plain,
% 18.90/12.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~v94(constB10)) | v123(constB10, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10)))),
% 18.90/12.52 inference(transitivity,[status(thm)],[1607, 1605])).
% 18.90/12.52 tff(1609,plain,
% 18.90/12.52 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~v94(constB10)) | v123(constB10, bitIndex1))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1610,plain,
% 18.90/12.52 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 18.90/12.52 tff(1611,plain,
% 18.90/12.52 ((~v84(constB10, bitIndex1)) | (~v94(constB10))),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1610, 516, 1604])).
% 18.90/12.52 tff(1612,plain,
% 18.90/12.52 (~v84(constB10, bitIndex1)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1611, 1518])).
% 18.90/12.52 tff(1613,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1614,plain,
% 18.90/12.52 (((~nextState(constB10, constB11)) | v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1))) <=> (v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1615,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1))))),
% 18.90/12.52 inference(monotonicity,[status(thm)],[1614])).
% 18.90/12.52 tff(1616,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1)))),
% 18.90/12.52 inference(transitivity,[status(thm)],[1615, 1613])).
% 18.90/12.52 tff(1617,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1)))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1618,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1617, 1616])).
% 18.90/12.52 tff(1619,plain,
% 18.90/12.52 (v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1))),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1618, 142, 1556])).
% 18.90/12.52 tff(1620,plain,
% 18.90/12.52 (v84(constB10, bitIndex1) | (~v84(constB11, bitIndex1))),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1619, 1568])).
% 18.90/12.52 tff(1621,plain,
% 18.90/12.52 (~v84(constB11, bitIndex1)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1620, 1612])).
% 18.90/12.52 tff(1622,plain,
% 18.90/12.52 (^[VarCurr: $i] : refl(((~v172(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 18.90/12.52 inference(bind,[status(th)],[])).
% 18.90/12.52 tff(1623,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.52 inference(quant_intro,[status(thm)],[1622])).
% 18.90/12.52 tff(1624,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1625,plain,
% 18.90/12.52 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex0) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 18.90/12.52 inference(bind,[status(th)],[])).
% 18.90/12.52 tff(1626,plain,
% 18.90/12.52 (![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.52 inference(quant_intro,[status(thm)],[1625])).
% 18.90/12.52 tff(1627,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex0) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_1')).
% 18.90/12.52 tff(1628,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 18.90/12.52 tff(1629,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1628, 1624])).
% 18.90/12.52 tff(1630,plain,(
% 18.90/12.52 ![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.52 inference(skolemize,[status(sab)],[1629])).
% 18.90/12.52 tff(1631,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1630, 1623])).
% 18.90/12.52 tff(1632,plain,
% 18.90/12.52 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB9)) | v124(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB9)) | v124(constB9, bitIndex0))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1633,plain,
% 18.90/12.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB9)) | v124(constB9, bitIndex0))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1634,plain,
% 18.90/12.52 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB9)) | v124(constB9, bitIndex0)),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 18.90/12.52 tff(1635,plain,
% 18.90/12.52 (v124(constB9, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1634, 1631, 1450])).
% 18.90/12.52 tff(1636,plain,
% 18.90/12.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1637,plain,
% 18.90/12.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1638,plain,
% 18.90/12.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0)),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 18.90/12.52 tff(1639,plain,
% 18.90/12.52 (v26(constB9) | v121(constB9, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1638, 557, 1635])).
% 18.90/12.52 tff(1640,plain,
% 18.90/12.52 (v121(constB9, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1639, 57])).
% 18.90/12.52 tff(1641,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1642,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1643,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0)),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1642, 1641])).
% 18.90/12.52 tff(1644,plain,
% 18.90/12.52 ((~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1643, 572, 1484])).
% 18.90/12.52 tff(1645,plain,
% 18.90/12.52 (v123(constB10, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1644, 1640])).
% 18.90/12.52 tff(1646,plain,
% 18.90/12.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1647,plain,
% 18.90/12.52 ((v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0))) <=> (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1648,plain,
% 18.90/12.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10))))),
% 18.90/12.52 inference(monotonicity,[status(thm)],[1647])).
% 18.90/12.52 tff(1649,plain,
% 18.90/12.52 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 18.90/12.52 inference(transitivity,[status(thm)],[1648, 1646])).
% 18.90/12.52 tff(1650,plain,
% 18.90/12.52 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1651,plain,
% 18.90/12.52 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 18.90/12.52 tff(1652,plain,
% 18.90/12.52 (v84(constB10, bitIndex0) | (~v94(constB10))),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1651, 587, 1645])).
% 18.90/12.52 tff(1653,plain,
% 18.90/12.52 (v84(constB10, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1652, 1518])).
% 18.90/12.52 tff(1654,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1655,plain,
% 18.90/12.52 (((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0)) <=> ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1656,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0)))),
% 18.90/12.52 inference(monotonicity,[status(thm)],[1655])).
% 18.90/12.52 tff(1657,plain,
% 18.90/12.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 18.90/12.52 inference(transitivity,[status(thm)],[1656, 1654])).
% 18.90/12.52 tff(1658,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))),
% 18.90/12.52 inference(quant_inst,[status(thm)],[])).
% 18.90/12.52 tff(1659,plain,
% 18.90/12.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0)),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 18.90/12.52 tff(1660,plain,
% 18.90/12.52 ((~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1659, 605, 1556])).
% 18.90/12.52 tff(1661,plain,
% 18.90/12.52 ((~v84(constB10, bitIndex0)) | v84(constB11, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1660, 1568])).
% 18.90/12.52 tff(1662,plain,
% 18.90/12.52 (v84(constB11, bitIndex0)),
% 18.90/12.52 inference(unit_resolution,[status(thm)],[1661, 1653])).
% 18.90/12.52 tff(1663,plain,
% 18.90/12.52 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)))),
% 18.90/12.52 inference(bind,[status(th)],[])).
% 18.90/12.52 tff(1664,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 18.90/12.52 inference(quant_intro,[status(thm)],[1663])).
% 18.90/12.52 tff(1665,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.52 tff(1666,plain,
% 18.90/12.52 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))), ((((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> (((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) | v84(VarCurr, bitIndex1)))), rewrite((((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))), ((((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))))),
% 18.90/12.52 inference(bind,[status(th)],[])).
% 18.90/12.52 tff(1667,plain,
% 18.90/12.52 (![VarCurr: $i] : (((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 18.90/12.52 inference(quant_intro,[status(thm)],[1666])).
% 18.90/12.52 tff(1668,axiom,(![VarCurr: $i] : (((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 18.90/12.52 tff(1669,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 18.90/12.52 tff(1670,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1669, 1665])).
% 18.90/12.52 tff(1671,plain,(
% 18.90/12.52 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 18.90/12.52 inference(skolemize,[status(sab)],[1670])).
% 18.90/12.52 tff(1672,plain,
% 18.90/12.52 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 18.90/12.52 inference(modus_ponens,[status(thm)],[1671, 1664])).
% 18.90/12.52 tff(1673,plain,
% 18.90/12.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB11, bitIndex0)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex2)) | v118(constB11))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB11, bitIndex0)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex2)) | v118(constB11))),
% 18.90/12.52 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1674,plain,
% 18.90/12.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB11, bitIndex0)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex2)) | v118(constB11))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1675,plain,
% 18.90/12.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB11, bitIndex0)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex2)) | v118(constB11)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 18.90/12.53 tff(1676,plain,
% 18.90/12.53 (v118(constB11)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1675, 1672, 1662, 1621, 1577])).
% 18.90/12.53 tff(1677,plain,
% 18.90/12.53 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v118(VarCurr))) <=> (v108(VarCurr) | (~v118(VarCurr))))),
% 18.90/12.53 inference(bind,[status(th)],[])).
% 18.90/12.53 tff(1678,plain,
% 18.90/12.53 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 18.90/12.53 inference(quant_intro,[status(thm)],[1677])).
% 18.90/12.53 tff(1679,plain,
% 18.90/12.53 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1680,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 18.90/12.53 tff(1681,plain,
% 18.90/12.53 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 18.90/12.53 tff(1682,plain,(
% 18.90/12.53 ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 18.90/12.53 inference(skolemize,[status(sab)],[1681])).
% 18.90/12.53 tff(1683,plain,
% 18.90/12.53 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1682, 1678])).
% 18.90/12.53 tff(1684,plain,
% 18.90/12.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB11) | (~v118(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB11) | (~v118(constB11)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1685,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB11) | (~v118(constB11)))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1686,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB11) | (~v118(constB11))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 18.90/12.53 tff(1687,plain,
% 18.90/12.53 (v108(constB11)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1686, 1683, 1676])).
% 18.90/12.53 tff(1688,plain,
% 18.90/12.53 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB11) | (~v108(constB11)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB11) | (~v108(constB11)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1689,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB11) | (~v108(constB11)))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1690,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB11) | (~v108(constB11))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 18.90/12.53 tff(1691,plain,
% 18.90/12.53 (v107(constB11)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1690, 250, 1687])).
% 18.90/12.53 tff(1692,plain,
% 18.90/12.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | v106(constB11) | (~v107(constB11)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1693,plain,
% 18.90/12.53 ((v26(constB11) | (~v107(constB11)) | v106(constB11)) <=> (v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1694,plain,
% 18.90/12.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | v106(constB11) | (~v107(constB11))))),
% 18.90/12.53 inference(monotonicity,[status(thm)],[1693])).
% 18.90/12.53 tff(1695,plain,
% 18.90/12.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 18.90/12.53 inference(transitivity,[status(thm)],[1694, 1692])).
% 18.90/12.53 tff(1696,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1697,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 18.90/12.53 tff(1698,plain,
% 18.90/12.53 (v26(constB11) | v106(constB11)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1697, 264, 1691])).
% 18.90/12.53 tff(1699,plain,
% 18.90/12.53 (v106(constB11)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1698, 53])).
% 18.90/12.53 tff(1700,plain,
% 18.90/12.53 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB11) | (~v106(constB11)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB11) | (~v106(constB11)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1701,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB11) | (~v106(constB11)))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1702,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB11) | (~v106(constB11))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1701, 1700])).
% 18.90/12.53 tff(1703,plain,
% 18.90/12.53 (v102(constB11)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1702, 276, 1699])).
% 18.90/12.53 tff(1704,plain,
% 18.90/12.53 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1705,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 18.90/12.53 tff(1706,plain,
% 18.90/12.53 (nextState(constB11, constB12)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 18.90/12.53 tff(1707,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1708,plain,
% 18.90/12.53 (((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12)) <=> ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1709,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11))))),
% 18.90/12.53 inference(monotonicity,[status(thm)],[1708])).
% 18.90/12.53 tff(1710,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 18.90/12.53 inference(transitivity,[status(thm)],[1709, 1707])).
% 18.90/12.53 tff(1711,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1712,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 18.90/12.53 tff(1713,plain,
% 18.90/12.53 (v104(constB12) | (~v102(constB11))),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1712, 293, 1706])).
% 18.90/12.53 tff(1714,plain,
% 18.90/12.53 (v104(constB12)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1713, 1703])).
% 18.90/12.53 tff(1715,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1716,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1717,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 18.90/12.53 tff(1718,plain,
% 18.90/12.53 (~v98(constB12)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1717, 311, 1706, 1553])).
% 18.90/12.53 tff(1719,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1720,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1721,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB11, constB12)) | v96(constB12) | v98(constB12)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 18.90/12.53 tff(1722,plain,
% 18.90/12.53 (v96(constB12) | v98(constB12)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1721, 325, 1706])).
% 18.90/12.53 tff(1723,plain,
% 18.90/12.53 (v96(constB12)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1722, 1718])).
% 18.90/12.53 tff(1724,plain,
% 18.90/12.53 (v1(constB12) <=> v1(constB12)),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1725,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 18.90/12.53 tff(1726,plain,
% 18.90/12.53 (v1(constB12)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1725, 1724])).
% 18.90/12.53 tff(1727,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1728,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1729,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1728, 1727])).
% 18.90/12.53 tff(1730,plain,
% 18.90/12.53 (v95(constB12) | (~v96(constB12))),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1729, 343, 1706, 1726])).
% 18.90/12.53 tff(1731,plain,
% 18.90/12.53 (v95(constB12)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1730, 1723])).
% 18.90/12.53 tff(1732,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1733,plain,
% 18.90/12.53 (((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12)) <=> ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1734,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12))))),
% 18.90/12.53 inference(monotonicity,[status(thm)],[1733])).
% 18.90/12.53 tff(1735,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 18.90/12.53 inference(transitivity,[status(thm)],[1734, 1732])).
% 18.90/12.53 tff(1736,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1737,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 18.90/12.53 tff(1738,plain,
% 18.90/12.53 (v94(constB12) | (~v95(constB12)) | (~v104(constB12))),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1737, 358, 1706])).
% 18.90/12.53 tff(1739,plain,
% 18.90/12.53 (v94(constB12) | (~v104(constB12))),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1738, 1731])).
% 18.90/12.53 tff(1740,plain,
% 18.90/12.53 (v94(constB12)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1739, 1714])).
% 18.90/12.53 tff(1741,plain,
% 18.90/12.53 (^[VarCurr: $i] : refl(((~v118(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 18.90/12.53 inference(bind,[status(th)],[])).
% 18.90/12.53 tff(1742,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.53 inference(quant_intro,[status(thm)],[1741])).
% 18.90/12.53 tff(1743,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1744,plain,
% 18.90/12.53 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 18.90/12.53 inference(bind,[status(th)],[])).
% 18.90/12.53 tff(1745,plain,
% 18.90/12.53 (![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.53 inference(quant_intro,[status(thm)],[1744])).
% 18.90/12.53 tff(1746,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex2) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 18.90/12.53 tff(1747,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 18.90/12.53 tff(1748,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1747, 1743])).
% 18.90/12.53 tff(1749,plain,(
% 18.90/12.53 ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.53 inference(skolemize,[status(sab)],[1748])).
% 18.90/12.53 tff(1750,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1749, 1742])).
% 18.90/12.53 tff(1751,plain,
% 18.90/12.53 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB11)) | v124(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB11)) | v124(constB11, bitIndex2))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1752,plain,
% 18.90/12.53 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB11)) | v124(constB11, bitIndex2))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1753,plain,
% 18.90/12.53 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB11)) | v124(constB11, bitIndex2)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 18.90/12.53 tff(1754,plain,
% 18.90/12.53 (v124(constB11, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1753, 1750, 1676])).
% 18.90/12.53 tff(1755,plain,
% 18.90/12.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1756,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1757,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 18.90/12.53 tff(1758,plain,
% 18.90/12.53 (v26(constB11) | v121(constB11, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1757, 1273, 1754])).
% 18.90/12.53 tff(1759,plain,
% 18.90/12.53 (v121(constB11, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1758, 53])).
% 18.90/12.53 tff(1760,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1761,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1762,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1761, 1760])).
% 18.90/12.53 tff(1763,plain,
% 18.90/12.53 ((~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1762, 1288, 1706])).
% 18.90/12.53 tff(1764,plain,
% 18.90/12.53 (v123(constB12, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1763, 1759])).
% 18.90/12.53 tff(1765,plain,
% 18.90/12.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1766,plain,
% 18.90/12.53 ((v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2))) <=> (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1767,plain,
% 18.90/12.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12))))),
% 18.90/12.53 inference(monotonicity,[status(thm)],[1766])).
% 18.90/12.53 tff(1768,plain,
% 18.90/12.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 18.90/12.53 inference(transitivity,[status(thm)],[1767, 1765])).
% 18.90/12.53 tff(1769,plain,
% 18.90/12.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1770,plain,
% 18.90/12.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 18.90/12.53 tff(1771,plain,
% 18.90/12.53 (v84(constB12, bitIndex2) | (~v94(constB12))),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1770, 1303, 1764])).
% 18.90/12.53 tff(1772,plain,
% 18.90/12.53 (v84(constB12, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1771, 1740])).
% 18.90/12.53 tff(1773,plain,
% 18.90/12.53 ((~v1(constB13)) <=> (~v1(constB13))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1774,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 18.90/12.53 tff(1775,plain,
% 18.90/12.53 (~v1(constB13)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1774, 1773])).
% 18.90/12.53 tff(1776,plain,
% 18.90/12.53 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1777,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 18.90/12.53 tff(1778,plain,
% 18.90/12.53 (nextState(constB12, constB13)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 18.90/12.53 tff(1779,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1780,plain,
% 18.90/12.53 (((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1781,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13))))),
% 18.90/12.53 inference(monotonicity,[status(thm)],[1780])).
% 18.90/12.53 tff(1782,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 18.90/12.53 inference(transitivity,[status(thm)],[1781, 1779])).
% 18.90/12.53 tff(1783,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1784,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1783, 1782])).
% 18.90/12.53 tff(1785,plain,
% 18.90/12.53 (~v95(constB13)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1784, 89, 1778, 1775])).
% 18.90/12.53 tff(1786,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1787,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1788,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 18.90/12.53 tff(1789,plain,
% 18.90/12.53 (v95(constB13) | (~v94(constB13))),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1788, 106, 1778])).
% 18.90/12.53 tff(1790,plain,
% 18.90/12.53 (~v94(constB13)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1789, 1785])).
% 18.90/12.53 tff(1791,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1792,plain,
% 18.90/12.53 (((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2)) <=> ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1793,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2)))),
% 18.90/12.53 inference(monotonicity,[status(thm)],[1792])).
% 18.90/12.53 tff(1794,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 18.90/12.53 inference(transitivity,[status(thm)],[1793, 1791])).
% 18.90/12.53 tff(1795,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1796,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 18.90/12.53 tff(1797,plain,
% 18.90/12.53 ((~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1796, 1339, 1778])).
% 18.90/12.53 tff(1798,plain,
% 18.90/12.53 ((~v84(constB12, bitIndex2)) | v84(constB13, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1797, 1790])).
% 18.90/12.53 tff(1799,plain,
% 18.90/12.53 (v84(constB13, bitIndex2)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1798, 1772])).
% 18.90/12.53 tff(1800,plain,
% 18.90/12.53 (^[VarCurr: $i] : refl(((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 18.90/12.53 inference(bind,[status(th)],[])).
% 18.90/12.53 tff(1801,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.53 inference(quant_intro,[status(thm)],[1800])).
% 18.90/12.53 tff(1802,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1803,plain,
% 18.90/12.53 (^[VarCurr: $i] : rewrite((v124(VarCurr, bitIndex1) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 18.90/12.53 inference(bind,[status(th)],[])).
% 18.90/12.53 tff(1804,plain,
% 18.90/12.53 (![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.53 inference(quant_intro,[status(thm)],[1803])).
% 18.90/12.53 tff(1805,axiom,(![VarCurr: $i] : (v124(VarCurr, bitIndex1) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 18.90/12.53 tff(1806,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 18.90/12.53 tff(1807,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1806, 1802])).
% 18.90/12.53 tff(1808,plain,(
% 18.90/12.53 ![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.53 inference(skolemize,[status(sab)],[1807])).
% 18.90/12.53 tff(1809,plain,
% 18.90/12.53 (![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1808, 1801])).
% 18.90/12.53 tff(1810,plain,
% 18.90/12.53 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB11)) | v124(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB11)) | v124(constB11, bitIndex1))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1811,plain,
% 18.90/12.53 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB11)) | v124(constB11, bitIndex1))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1812,plain,
% 18.90/12.53 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB11)) | v124(constB11, bitIndex1)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 18.90/12.53 tff(1813,plain,
% 18.90/12.53 (v124(constB11, bitIndex1)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1812, 1809, 1676])).
% 18.90/12.53 tff(1814,plain,
% 18.90/12.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB11) | (~v124(constB11, bitIndex1)) | v121(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB11) | (~v124(constB11, bitIndex1)) | v121(constB11, bitIndex1))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1815,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB11) | (~v124(constB11, bitIndex1)) | v121(constB11, bitIndex1))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1816,plain,
% 18.90/12.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB11) | (~v124(constB11, bitIndex1)) | v121(constB11, bitIndex1)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1815, 1814])).
% 18.90/12.53 tff(1817,plain,
% 18.90/12.53 (v26(constB11) | v121(constB11, bitIndex1)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1816, 804, 1813])).
% 18.90/12.53 tff(1818,plain,
% 18.90/12.53 (v121(constB11, bitIndex1)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1817, 53])).
% 18.90/12.53 tff(1819,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1820,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1821,plain,
% 18.90/12.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1)),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 18.90/12.53 tff(1822,plain,
% 18.90/12.53 ((~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1821, 819, 1706])).
% 18.90/12.53 tff(1823,plain,
% 18.90/12.53 (v123(constB12, bitIndex1)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1822, 1818])).
% 18.90/12.53 tff(1824,plain,
% 18.90/12.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1825,plain,
% 18.90/12.53 ((v84(constB12, bitIndex1) | (~v94(constB12)) | (~v123(constB12, bitIndex1))) <=> (v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12)))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1826,plain,
% 18.90/12.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v94(constB12)) | (~v123(constB12, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12))))),
% 18.90/12.53 inference(monotonicity,[status(thm)],[1825])).
% 18.90/12.53 tff(1827,plain,
% 18.90/12.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v94(constB12)) | (~v123(constB12, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12)))),
% 18.90/12.53 inference(transitivity,[status(thm)],[1826, 1824])).
% 18.90/12.53 tff(1828,plain,
% 18.90/12.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v94(constB12)) | (~v123(constB12, bitIndex1)))),
% 18.90/12.53 inference(quant_inst,[status(thm)],[])).
% 18.90/12.53 tff(1829,plain,
% 18.90/12.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12))),
% 18.90/12.53 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 18.90/12.53 tff(1830,plain,
% 18.90/12.53 (v84(constB12, bitIndex1) | (~v94(constB12))),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1829, 834, 1823])).
% 18.90/12.53 tff(1831,plain,
% 18.90/12.53 (v84(constB12, bitIndex1)),
% 18.90/12.53 inference(unit_resolution,[status(thm)],[1830, 1740])).
% 18.90/12.53 tff(1832,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1833,plain,
% 18.90/12.53 (((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1)) <=> ((~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1))),
% 18.90/12.53 inference(rewrite,[status(thm)],[])).
% 18.90/12.53 tff(1834,plain,
% 18.90/12.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1)))),
% 18.90/12.54 inference(monotonicity,[status(thm)],[1833])).
% 18.90/12.54 tff(1835,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1))),
% 18.90/12.54 inference(transitivity,[status(thm)],[1834, 1832])).
% 18.90/12.54 tff(1836,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1837,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1)),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1836, 1835])).
% 18.90/12.54 tff(1838,plain,
% 18.90/12.54 ((~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1837, 852, 1778])).
% 18.90/12.54 tff(1839,plain,
% 18.90/12.54 ((~v84(constB12, bitIndex1)) | v84(constB13, bitIndex1)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1838, 1790])).
% 18.90/12.54 tff(1840,plain,
% 18.90/12.54 (v84(constB13, bitIndex1)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1839, 1831])).
% 18.90/12.54 tff(1841,plain,
% 18.90/12.54 (^[VarCurr: $i] : refl(((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1842,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1841])).
% 18.90/12.54 tff(1843,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1844,plain,
% 18.90/12.54 (^[VarCurr: $i] : rewrite(((~v124(VarCurr, bitIndex0)) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1845,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1844])).
% 18.90/12.54 tff(1846,axiom,(![VarCurr: $i] : ((~v124(VarCurr, bitIndex0)) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 18.90/12.54 tff(1847,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1846, 1845])).
% 18.90/12.54 tff(1848,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1847, 1843])).
% 18.90/12.54 tff(1849,plain,(
% 18.90/12.54 ![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.54 inference(skolemize,[status(sab)],[1848])).
% 18.90/12.54 tff(1850,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1849, 1842])).
% 18.90/12.54 tff(1851,plain,
% 18.90/12.54 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB11)) | (~v124(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB11)) | (~v124(constB11, bitIndex0)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1852,plain,
% 18.90/12.54 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB11)) | (~v124(constB11, bitIndex0)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1853,plain,
% 18.90/12.54 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB11)) | (~v124(constB11, bitIndex0))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 18.90/12.54 tff(1854,plain,
% 18.90/12.54 (~v124(constB11, bitIndex0)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1853, 1850, 1676])).
% 18.90/12.54 tff(1855,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1856,plain,
% 18.90/12.54 ((v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0))) <=> ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1857,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0)))),
% 18.90/12.54 inference(monotonicity,[status(thm)],[1856])).
% 18.90/12.54 tff(1858,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 18.90/12.54 inference(transitivity,[status(thm)],[1857, 1855])).
% 18.90/12.54 tff(1859,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1860,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0)),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 18.90/12.54 tff(1861,plain,
% 18.90/12.54 ((~v121(constB11, bitIndex0)) | v26(constB11)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1860, 885, 1854])).
% 18.90/12.54 tff(1862,plain,
% 18.90/12.54 (~v121(constB11, bitIndex0)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1861, 53])).
% 18.90/12.54 tff(1863,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1864,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1865,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 18.90/12.54 tff(1866,plain,
% 18.90/12.54 (v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0))),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1865, 903, 1706])).
% 18.90/12.54 tff(1867,plain,
% 18.90/12.54 (~v123(constB12, bitIndex0)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1866, 1862])).
% 18.90/12.54 tff(1868,plain,
% 18.90/12.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1869,plain,
% 18.90/12.54 (((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0)) <=> ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1870,plain,
% 18.90/12.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12))))),
% 18.90/12.54 inference(monotonicity,[status(thm)],[1869])).
% 18.90/12.54 tff(1871,plain,
% 18.90/12.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 18.90/12.54 inference(transitivity,[status(thm)],[1870, 1868])).
% 18.90/12.54 tff(1872,plain,
% 18.90/12.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1873,plain,
% 18.90/12.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 18.90/12.54 tff(1874,plain,
% 18.90/12.54 ((~v84(constB12, bitIndex0)) | (~v94(constB12))),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1873, 918, 1867])).
% 18.90/12.54 tff(1875,plain,
% 18.90/12.54 (~v84(constB12, bitIndex0)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1874, 1740])).
% 18.90/12.54 tff(1876,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1877,plain,
% 18.90/12.54 (((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0))) <=> (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1878,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0))))),
% 18.90/12.54 inference(monotonicity,[status(thm)],[1877])).
% 18.90/12.54 tff(1879,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 18.90/12.54 inference(transitivity,[status(thm)],[1878, 1876])).
% 18.90/12.54 tff(1880,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1881,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1880, 1879])).
% 18.90/12.54 tff(1882,plain,
% 18.90/12.54 (v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0))),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1881, 163, 1778])).
% 18.90/12.54 tff(1883,plain,
% 18.90/12.54 (v84(constB12, bitIndex0) | (~v84(constB13, bitIndex0))),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1882, 1790])).
% 18.90/12.54 tff(1884,plain,
% 18.90/12.54 (~v84(constB13, bitIndex0)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1883, 1875])).
% 18.90/12.54 tff(1885,plain,
% 18.90/12.54 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1886,plain,
% 18.90/12.54 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1885])).
% 18.90/12.54 tff(1887,plain,
% 18.90/12.54 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1888,plain,
% 18.90/12.54 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))), ((((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> (((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite((((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))), ((((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1889,plain,
% 18.90/12.54 (![VarCurr: $i] : (((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1888])).
% 18.90/12.54 tff(1890,axiom,(![VarCurr: $i] : (((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 18.90/12.54 tff(1891,plain,
% 18.90/12.54 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 18.90/12.54 tff(1892,plain,
% 18.90/12.54 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1891, 1887])).
% 18.90/12.54 tff(1893,plain,(
% 18.90/12.54 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 18.90/12.54 inference(skolemize,[status(sab)],[1892])).
% 18.90/12.54 tff(1894,plain,
% 18.90/12.54 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1893, 1886])).
% 18.90/12.54 tff(1895,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)) | v119(constB13))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)) | v119(constB13))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1896,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)) | v119(constB13))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1897,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)) | v119(constB13)),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 18.90/12.54 tff(1898,plain,
% 18.90/12.54 (v119(constB13)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1897, 1894, 1884, 1840, 1799])).
% 18.90/12.54 tff(1899,plain,
% 18.90/12.54 (^[VarCurr: $i] : refl((v107(VarCurr) | (~v119(VarCurr))) <=> (v107(VarCurr) | (~v119(VarCurr))))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1900,plain,
% 18.90/12.54 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1899])).
% 18.90/12.54 tff(1901,plain,
% 18.90/12.54 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1902,axiom,(![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 18.90/12.54 tff(1903,plain,
% 18.90/12.54 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1902, 1901])).
% 18.90/12.54 tff(1904,plain,(
% 18.90/12.54 ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 18.90/12.54 inference(skolemize,[status(sab)],[1903])).
% 18.90/12.54 tff(1905,plain,
% 18.90/12.54 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1904, 1900])).
% 18.90/12.54 tff(1906,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB13) | (~v119(constB13)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB13) | (~v119(constB13)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1907,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB13) | (~v119(constB13)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1908,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB13) | (~v119(constB13))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1907, 1906])).
% 18.90/12.54 tff(1909,plain,
% 18.90/12.54 (v107(constB13)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1908, 1905, 1898])).
% 18.90/12.54 tff(1910,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | v106(constB13) | (~v107(constB13)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | v106(constB13) | (~v107(constB13)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1911,plain,
% 18.90/12.54 ((v26(constB13) | (~v107(constB13)) | v106(constB13)) <=> (v26(constB13) | v106(constB13) | (~v107(constB13)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1912,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | v106(constB13) | (~v107(constB13))))),
% 18.90/12.54 inference(monotonicity,[status(thm)],[1911])).
% 18.90/12.54 tff(1913,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | v106(constB13) | (~v107(constB13)))),
% 18.90/12.54 inference(transitivity,[status(thm)],[1912, 1910])).
% 18.90/12.54 tff(1914,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1915,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | v106(constB13) | (~v107(constB13))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1914, 1913])).
% 18.90/12.54 tff(1916,plain,
% 18.90/12.54 (v26(constB13) | v106(constB13)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1915, 264, 1909])).
% 18.90/12.54 tff(1917,plain,
% 18.90/12.54 (v106(constB13)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1916, 49])).
% 18.90/12.54 tff(1918,plain,
% 18.90/12.54 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB13) | (~v106(constB13)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB13) | (~v106(constB13)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1919,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB13) | (~v106(constB13)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1920,plain,
% 18.90/12.54 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB13) | (~v106(constB13))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1919, 1918])).
% 18.90/12.54 tff(1921,plain,
% 18.90/12.54 (v102(constB13)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1920, 276, 1917])).
% 18.90/12.54 tff(1922,plain,
% 18.90/12.54 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1923,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 18.90/12.54 tff(1924,plain,
% 18.90/12.54 (nextState(constB13, constB14)),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 18.90/12.54 tff(1925,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1926,plain,
% 18.90/12.54 (((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14)) <=> ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1927,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13))))),
% 18.90/12.54 inference(monotonicity,[status(thm)],[1926])).
% 18.90/12.54 tff(1928,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 18.90/12.54 inference(transitivity,[status(thm)],[1927, 1925])).
% 18.90/12.54 tff(1929,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1930,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 18.90/12.54 tff(1931,plain,
% 18.90/12.54 (v104(constB14) | (~v102(constB13))),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1930, 293, 1924])).
% 18.90/12.54 tff(1932,plain,
% 18.90/12.54 (v104(constB14)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1931, 1921])).
% 18.90/12.54 tff(1933,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1934,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1935,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1934, 1933])).
% 18.90/12.54 tff(1936,plain,
% 18.90/12.54 (~v98(constB14)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1935, 311, 1924, 1775])).
% 18.90/12.54 tff(1937,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1938,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1939,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB13, constB14)) | v96(constB14) | v98(constB14)),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1938, 1937])).
% 18.90/12.54 tff(1940,plain,
% 18.90/12.54 (v96(constB14) | v98(constB14)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1939, 325, 1924])).
% 18.90/12.54 tff(1941,plain,
% 18.90/12.54 (v96(constB14)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1940, 1936])).
% 18.90/12.54 tff(1942,plain,
% 18.90/12.54 (v1(constB14) <=> v1(constB14)),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1943,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 18.90/12.54 tff(1944,plain,
% 18.90/12.54 (v1(constB14)),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1943, 1942])).
% 18.90/12.54 tff(1945,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1946,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1947,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1946, 1945])).
% 18.90/12.54 tff(1948,plain,
% 18.90/12.54 (v95(constB14) | (~v96(constB14))),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1947, 343, 1924, 1944])).
% 18.90/12.54 tff(1949,plain,
% 18.90/12.54 (v95(constB14)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1948, 1941])).
% 18.90/12.54 tff(1950,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1951,plain,
% 18.90/12.54 (((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14)) <=> ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1952,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14))))),
% 18.90/12.54 inference(monotonicity,[status(thm)],[1951])).
% 18.90/12.54 tff(1953,plain,
% 18.90/12.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 18.90/12.54 inference(transitivity,[status(thm)],[1952, 1950])).
% 18.90/12.54 tff(1954,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1955,plain,
% 18.90/12.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1954, 1953])).
% 18.90/12.54 tff(1956,plain,
% 18.90/12.54 (v94(constB14) | (~v95(constB14)) | (~v104(constB14))),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1955, 358, 1924])).
% 18.90/12.54 tff(1957,plain,
% 18.90/12.54 (v94(constB14) | (~v104(constB14))),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1956, 1949])).
% 18.90/12.54 tff(1958,plain,
% 18.90/12.54 (v94(constB14)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1957, 1932])).
% 18.90/12.54 tff(1959,plain,
% 18.90/12.54 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1960,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1959])).
% 18.90/12.54 tff(1961,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1962,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 18.90/12.54 tff(1963,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1962, 1961])).
% 18.90/12.54 tff(1964,plain,(
% 18.90/12.54 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 18.90/12.54 inference(skolemize,[status(sab)],[1963])).
% 18.90/12.54 tff(1965,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1964, 1960])).
% 18.90/12.54 tff(1966,plain,
% 18.90/12.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB13, bitIndex2)) | (~v115(constB13)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB13, bitIndex2)) | (~v115(constB13)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1967,plain,
% 18.90/12.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB13, bitIndex2)) | (~v115(constB13)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1968,plain,
% 18.90/12.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB13, bitIndex2)) | (~v115(constB13))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 18.90/12.54 tff(1969,plain,
% 18.90/12.54 (~v115(constB13)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1968, 1965, 1799])).
% 18.90/12.54 tff(1970,plain,
% 18.90/12.54 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1971,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1970])).
% 18.90/12.54 tff(1972,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1973,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 18.90/12.54 tff(1974,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1973, 1972])).
% 18.90/12.54 tff(1975,plain,(
% 18.90/12.54 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 18.90/12.54 inference(skolemize,[status(sab)],[1974])).
% 18.90/12.54 tff(1976,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1975, 1971])).
% 18.90/12.54 tff(1977,plain,
% 18.90/12.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB13, bitIndex2)) | (~v116(constB13)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB13, bitIndex2)) | (~v116(constB13)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1978,plain,
% 18.90/12.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB13, bitIndex2)) | (~v116(constB13)))),
% 18.90/12.54 inference(quant_inst,[status(thm)],[])).
% 18.90/12.54 tff(1979,plain,
% 18.90/12.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB13, bitIndex2)) | (~v116(constB13))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1978, 1977])).
% 18.90/12.54 tff(1980,plain,
% 18.90/12.54 (~v116(constB13)),
% 18.90/12.54 inference(unit_resolution,[status(thm)],[1979, 1976, 1799])).
% 18.90/12.54 tff(1981,plain,
% 18.90/12.54 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1982,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1981])).
% 18.90/12.54 tff(1983,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 18.90/12.54 inference(rewrite,[status(thm)],[])).
% 18.90/12.54 tff(1984,plain,
% 18.90/12.54 (^[VarCurr: $i] : rewrite(((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 18.90/12.54 inference(bind,[status(th)],[])).
% 18.90/12.54 tff(1985,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 18.90/12.54 inference(quant_intro,[status(thm)],[1984])).
% 18.90/12.54 tff(1986,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 18.90/12.54 tff(1987,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1986, 1985])).
% 18.90/12.54 tff(1988,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1987, 1983])).
% 18.90/12.54 tff(1989,plain,(
% 18.90/12.54 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 18.90/12.54 inference(skolemize,[status(sab)],[1988])).
% 18.90/12.54 tff(1990,plain,
% 18.90/12.54 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 18.90/12.54 inference(modus_ponens,[status(thm)],[1989, 1982])).
% 18.90/12.54 tff(1991,plain,
% 18.90/12.54 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB13)) | (~v84(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB13)) | (~v84(constB13, bitIndex1)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(1992,plain,
% 18.90/12.55 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB13)) | (~v84(constB13, bitIndex1)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(1993,plain,
% 18.90/12.55 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB13)) | (~v84(constB13, bitIndex1))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 18.90/12.55 tff(1994,plain,
% 18.90/12.55 (~v113(constB13)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[1993, 1990, 1840])).
% 18.90/12.55 tff(1995,plain,
% 18.90/12.55 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))))),
% 18.90/12.55 inference(bind,[status(th)],[])).
% 18.90/12.55 tff(1996,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 18.90/12.55 inference(quant_intro,[status(thm)],[1995])).
% 18.90/12.55 tff(1997,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(1998,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 18.90/12.55 tff(1999,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 18.90/12.55 tff(2000,plain,(
% 18.90/12.55 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 18.90/12.55 inference(skolemize,[status(sab)],[1999])).
% 18.90/12.55 tff(2001,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2000, 1996])).
% 18.90/12.55 tff(2002,plain,
% 18.90/12.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB13, bitIndex1)) | (~v118(constB13)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB13, bitIndex1)) | (~v118(constB13)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2003,plain,
% 18.90/12.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB13, bitIndex1)) | (~v118(constB13)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2004,plain,
% 18.90/12.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB13, bitIndex1)) | (~v118(constB13))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 18.90/12.55 tff(2005,plain,
% 18.90/12.55 (~v118(constB13)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2004, 2001, 1840])).
% 18.90/12.55 tff(2006,plain,
% 18.90/12.55 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))))),
% 18.90/12.55 inference(bind,[status(th)],[])).
% 18.90/12.55 tff(2007,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 18.90/12.55 inference(quant_intro,[status(thm)],[2006])).
% 18.90/12.55 tff(2008,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2009,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 18.90/12.55 tff(2010,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 18.90/12.55 tff(2011,plain,(
% 18.90/12.55 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 18.90/12.55 inference(skolemize,[status(sab)],[2010])).
% 18.90/12.55 tff(2012,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2011, 2007])).
% 18.90/12.55 tff(2013,plain,
% 18.90/12.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB13, bitIndex1)) | (~v145(constB13)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB13, bitIndex1)) | (~v145(constB13)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2014,plain,
% 18.90/12.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB13, bitIndex1)) | (~v145(constB13)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2015,plain,
% 18.90/12.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB13, bitIndex1)) | (~v145(constB13))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 18.90/12.55 tff(2016,plain,
% 18.90/12.55 (~v145(constB13)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2015, 2012, 1840])).
% 18.90/12.55 tff(2017,plain,
% 18.90/12.55 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))))),
% 18.90/12.55 inference(bind,[status(th)],[])).
% 18.90/12.55 tff(2018,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 18.90/12.55 inference(quant_intro,[status(thm)],[2017])).
% 18.90/12.55 tff(2019,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2020,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 18.90/12.55 tff(2021,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2020, 2019])).
% 18.90/12.55 tff(2022,plain,(
% 18.90/12.55 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 18.90/12.55 inference(skolemize,[status(sab)],[2021])).
% 18.90/12.55 tff(2023,plain,
% 18.90/12.55 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2022, 2018])).
% 18.90/12.55 tff(2024,plain,
% 18.90/12.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB13, bitIndex1)) | (~v172(constB13)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB13, bitIndex1)) | (~v172(constB13)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2025,plain,
% 18.90/12.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB13, bitIndex1)) | (~v172(constB13)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2026,plain,
% 18.90/12.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB13, bitIndex1)) | (~v172(constB13))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 18.90/12.55 tff(2027,plain,
% 18.90/12.55 (~v172(constB13)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2026, 2023, 1840])).
% 18.90/12.55 tff(2028,plain,
% 18.90/12.55 (^[VarCurr: $i] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))),
% 18.90/12.55 inference(bind,[status(th)],[])).
% 18.90/12.55 tff(2029,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.55 inference(quant_intro,[status(thm)],[2028])).
% 18.90/12.55 tff(2030,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2031,plain,
% 18.90/12.55 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) <=> (v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), ((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) <=> ((v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v172(VarCurr)))), rewrite(((v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), ((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))), (((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> ((v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v116(VarCurr)))), rewrite(((v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), (((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))), ((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> ((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v115(VarCurr)))), rewrite(((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), ((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))), (((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> ((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v145(VarCurr)))), rewrite(((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), (((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))), ((((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v113(VarCurr)))), rewrite(((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), ((((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))))),
% 18.90/12.55 inference(bind,[status(th)],[])).
% 18.90/12.55 tff(2032,plain,
% 18.90/12.55 (![VarCurr: $i] : (((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.55 inference(quant_intro,[status(thm)],[2031])).
% 18.90/12.55 tff(2033,axiom,(![VarCurr: $i] : (((((((~v124(VarCurr, bitIndex2)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_3')).
% 18.90/12.55 tff(2034,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 18.90/12.55 tff(2035,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2034, 2030])).
% 18.90/12.55 tff(2036,plain,(
% 18.90/12.55 ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.55 inference(skolemize,[status(sab)],[2035])).
% 18.90/12.55 tff(2037,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2036, 2029])).
% 18.90/12.55 tff(2038,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB13, bitIndex2)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB13, bitIndex2)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2039,plain,
% 18.90/12.55 ((v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex2))) <=> ((~v124(constB13, bitIndex2)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2040,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB13, bitIndex2)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13)))),
% 18.90/12.55 inference(monotonicity,[status(thm)],[2039])).
% 18.90/12.55 tff(2041,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB13, bitIndex2)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.90/12.55 inference(transitivity,[status(thm)],[2040, 2038])).
% 18.90/12.55 tff(2042,plain,
% 18.90/12.55 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex2)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2043,plain,
% 18.90/12.55 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB13, bitIndex2)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13)),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 18.90/12.55 tff(2044,plain,
% 18.90/12.55 (~v124(constB13, bitIndex2)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2043, 2037, 2027, 2016, 2005, 1994, 1980, 1969])).
% 18.90/12.55 tff(2045,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2046,plain,
% 18.90/12.55 ((v26(constB13) | v124(constB13, bitIndex2) | (~v121(constB13, bitIndex2))) <=> ((~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2047,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB13) | v124(constB13, bitIndex2) | (~v121(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2)))),
% 18.90/12.55 inference(monotonicity,[status(thm)],[2046])).
% 18.90/12.55 tff(2048,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB13) | v124(constB13, bitIndex2) | (~v121(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2))),
% 18.90/12.55 inference(transitivity,[status(thm)],[2047, 2045])).
% 18.90/12.55 tff(2049,plain,
% 18.90/12.55 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB13) | v124(constB13, bitIndex2) | (~v121(constB13, bitIndex2)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2050,plain,
% 18.90/12.55 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2)),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 18.90/12.55 tff(2051,plain,
% 18.90/12.55 ((~v121(constB13, bitIndex2)) | v26(constB13)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2050, 391, 2044])).
% 18.90/12.55 tff(2052,plain,
% 18.90/12.55 (~v121(constB13, bitIndex2)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2051, 49])).
% 18.90/12.55 tff(2053,plain,
% 18.90/12.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2054,plain,
% 18.90/12.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2055,plain,
% 18.90/12.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2054, 2053])).
% 18.90/12.55 tff(2056,plain,
% 18.90/12.55 (v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2))),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2055, 409, 1924])).
% 18.90/12.55 tff(2057,plain,
% 18.90/12.55 (~v123(constB14, bitIndex2)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2056, 2052])).
% 18.90/12.55 tff(2058,plain,
% 18.90/12.55 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2059,plain,
% 18.90/12.55 (((~v84(constB14, bitIndex2)) | (~v94(constB14)) | v123(constB14, bitIndex2)) <=> ((~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2060,plain,
% 18.90/12.55 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | (~v94(constB14)) | v123(constB14, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14))))),
% 18.90/12.55 inference(monotonicity,[status(thm)],[2059])).
% 18.90/12.55 tff(2061,plain,
% 18.90/12.55 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | (~v94(constB14)) | v123(constB14, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14)))),
% 18.90/12.55 inference(transitivity,[status(thm)],[2060, 2058])).
% 18.90/12.55 tff(2062,plain,
% 18.90/12.55 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB14, bitIndex2)) | (~v94(constB14)) | v123(constB14, bitIndex2))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2063,plain,
% 18.90/12.55 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2062, 2061])).
% 18.90/12.55 tff(2064,plain,
% 18.90/12.55 ((~v84(constB14, bitIndex2)) | (~v94(constB14))),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2063, 424, 2057])).
% 18.90/12.55 tff(2065,plain,
% 18.90/12.55 (~v84(constB14, bitIndex2)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2064, 1958])).
% 18.90/12.55 tff(2066,plain,
% 18.90/12.55 ((~v1(constB15)) <=> (~v1(constB15))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2067,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 18.90/12.55 tff(2068,plain,
% 18.90/12.55 (~v1(constB15)),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 18.90/12.55 tff(2069,plain,
% 18.90/12.55 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2070,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 18.90/12.55 tff(2071,plain,
% 18.90/12.55 (nextState(constB14, constB15)),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2070, 2069])).
% 18.90/12.55 tff(2072,plain,
% 18.90/12.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2073,plain,
% 18.90/12.55 (((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2074,plain,
% 18.90/12.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15))))),
% 18.90/12.55 inference(monotonicity,[status(thm)],[2073])).
% 18.90/12.55 tff(2075,plain,
% 18.90/12.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 18.90/12.55 inference(transitivity,[status(thm)],[2074, 2072])).
% 18.90/12.55 tff(2076,plain,
% 18.90/12.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2077,plain,
% 18.90/12.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 18.90/12.55 tff(2078,plain,
% 18.90/12.55 (~v95(constB15)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2077, 89, 2071, 2068])).
% 18.90/12.55 tff(2079,plain,
% 18.90/12.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2080,plain,
% 18.90/12.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2081,plain,
% 18.90/12.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 18.90/12.55 tff(2082,plain,
% 18.90/12.55 (v95(constB15) | (~v94(constB15))),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2081, 106, 2071])).
% 18.90/12.55 tff(2083,plain,
% 18.90/12.55 (~v94(constB15)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2082, 2078])).
% 18.90/12.55 tff(2084,plain,
% 18.90/12.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2085,plain,
% 18.90/12.55 (((~nextState(constB14, constB15)) | v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2))) <=> (v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2086,plain,
% 18.90/12.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2))))),
% 18.90/12.55 inference(monotonicity,[status(thm)],[2085])).
% 18.90/12.55 tff(2087,plain,
% 18.90/12.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2)))),
% 18.90/12.55 inference(transitivity,[status(thm)],[2086, 2084])).
% 18.90/12.55 tff(2088,plain,
% 18.90/12.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2)))),
% 18.90/12.55 inference(quant_inst,[status(thm)],[])).
% 18.90/12.55 tff(2089,plain,
% 18.90/12.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 18.90/12.55 tff(2090,plain,
% 18.90/12.55 (v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2))),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2089, 121, 2071])).
% 18.90/12.55 tff(2091,plain,
% 18.90/12.55 (v84(constB14, bitIndex2) | (~v84(constB15, bitIndex2))),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2090, 2083])).
% 18.90/12.55 tff(2092,plain,
% 18.90/12.55 (~v84(constB15, bitIndex2)),
% 18.90/12.55 inference(unit_resolution,[status(thm)],[2091, 2065])).
% 18.90/12.55 tff(2093,plain,
% 18.90/12.55 (^[VarCurr: $i] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))),
% 18.90/12.55 inference(bind,[status(th)],[])).
% 18.90/12.55 tff(2094,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.55 inference(quant_intro,[status(thm)],[2093])).
% 18.90/12.55 tff(2095,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2096,plain,
% 18.90/12.55 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) <=> (v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), ((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) <=> ((v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v172(VarCurr)))), rewrite(((v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), ((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))), (((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> ((v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v116(VarCurr)))), rewrite(((v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), (((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))), ((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> ((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v115(VarCurr)))), rewrite(((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), ((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))), (((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> ((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v145(VarCurr)))), rewrite(((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), (((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))), ((((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v113(VarCurr)))), rewrite(((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), ((((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))))),
% 18.90/12.55 inference(bind,[status(th)],[])).
% 18.90/12.55 tff(2097,plain,
% 18.90/12.55 (![VarCurr: $i] : (((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.55 inference(quant_intro,[status(thm)],[2096])).
% 18.90/12.55 tff(2098,axiom,(![VarCurr: $i] : (((((((~v124(VarCurr, bitIndex1)) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_2')).
% 18.90/12.55 tff(2099,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 18.90/12.55 tff(2100,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2099, 2095])).
% 18.90/12.55 tff(2101,plain,(
% 18.90/12.55 ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.55 inference(skolemize,[status(sab)],[2100])).
% 18.90/12.55 tff(2102,plain,
% 18.90/12.55 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 18.90/12.55 inference(modus_ponens,[status(thm)],[2101, 2094])).
% 18.90/12.55 tff(2103,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB13, bitIndex1)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB13, bitIndex1)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2104,plain,
% 18.90/12.55 ((v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex1))) <=> ((~v124(constB13, bitIndex1)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.90/12.55 inference(rewrite,[status(thm)],[])).
% 18.90/12.55 tff(2105,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB13, bitIndex1)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13)))),
% 18.90/12.55 inference(monotonicity,[status(thm)],[2104])).
% 18.90/12.55 tff(2106,plain,
% 18.90/12.55 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB13, bitIndex1)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.90/12.55 inference(transitivity,[status(thm)],[2105, 2103])).
% 18.90/12.55 tff(2107,plain,
% 18.90/12.55 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex1)))),
% 18.90/12.56 inference(quant_inst,[status(thm)],[])).
% 18.90/12.56 tff(2108,plain,
% 18.90/12.56 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB13, bitIndex1)) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13)),
% 18.90/12.56 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 18.90/12.56 tff(2109,plain,
% 18.90/12.56 (~v124(constB13, bitIndex1)),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2108, 2102, 2027, 2016, 2005, 1994, 1980, 1969])).
% 18.90/12.56 tff(2110,plain,
% 18.90/12.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2111,plain,
% 18.90/12.56 ((v26(constB13) | v124(constB13, bitIndex1) | (~v121(constB13, bitIndex1))) <=> ((~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2112,plain,
% 18.90/12.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB13) | v124(constB13, bitIndex1) | (~v121(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1)))),
% 18.90/12.56 inference(monotonicity,[status(thm)],[2111])).
% 18.90/12.56 tff(2113,plain,
% 18.90/12.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB13) | v124(constB13, bitIndex1) | (~v121(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1))),
% 18.90/12.56 inference(transitivity,[status(thm)],[2112, 2110])).
% 18.90/12.56 tff(2114,plain,
% 18.90/12.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB13) | v124(constB13, bitIndex1) | (~v121(constB13, bitIndex1)))),
% 18.90/12.56 inference(quant_inst,[status(thm)],[])).
% 18.90/12.56 tff(2115,plain,
% 18.90/12.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1)),
% 18.90/12.56 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 18.90/12.56 tff(2116,plain,
% 18.90/12.56 ((~v121(constB13, bitIndex1)) | v26(constB13)),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2115, 483, 2109])).
% 18.90/12.56 tff(2117,plain,
% 18.90/12.56 (~v121(constB13, bitIndex1)),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2116, 49])).
% 18.90/12.56 tff(2118,plain,
% 18.90/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1)))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2119,plain,
% 18.90/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1)))),
% 18.90/12.56 inference(quant_inst,[status(thm)],[])).
% 18.90/12.56 tff(2120,plain,
% 18.90/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1))),
% 18.90/12.56 inference(modus_ponens,[status(thm)],[2119, 2118])).
% 18.90/12.56 tff(2121,plain,
% 18.90/12.56 (v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1))),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2120, 501, 1924])).
% 18.90/12.56 tff(2122,plain,
% 18.90/12.56 (~v123(constB14, bitIndex1)),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2121, 2117])).
% 18.90/12.56 tff(2123,plain,
% 18.90/12.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14)))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2124,plain,
% 18.90/12.56 (((~v84(constB14, bitIndex1)) | (~v94(constB14)) | v123(constB14, bitIndex1)) <=> ((~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14)))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2125,plain,
% 18.90/12.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~v94(constB14)) | v123(constB14, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14))))),
% 18.90/12.56 inference(monotonicity,[status(thm)],[2124])).
% 18.90/12.56 tff(2126,plain,
% 18.90/12.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~v94(constB14)) | v123(constB14, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14)))),
% 18.90/12.56 inference(transitivity,[status(thm)],[2125, 2123])).
% 18.90/12.56 tff(2127,plain,
% 18.90/12.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~v94(constB14)) | v123(constB14, bitIndex1))),
% 18.90/12.56 inference(quant_inst,[status(thm)],[])).
% 18.90/12.56 tff(2128,plain,
% 18.90/12.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14))),
% 18.90/12.56 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 18.90/12.56 tff(2129,plain,
% 18.90/12.56 ((~v84(constB14, bitIndex1)) | (~v94(constB14))),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2128, 516, 2122])).
% 18.90/12.56 tff(2130,plain,
% 18.90/12.56 (~v84(constB14, bitIndex1)),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2129, 1958])).
% 18.90/12.56 tff(2131,plain,
% 18.90/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1)))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2132,plain,
% 18.90/12.56 (((~nextState(constB14, constB15)) | v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1))) <=> (v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1)))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2133,plain,
% 18.90/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1))))),
% 18.90/12.56 inference(monotonicity,[status(thm)],[2132])).
% 18.90/12.56 tff(2134,plain,
% 18.90/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1)))),
% 18.90/12.56 inference(transitivity,[status(thm)],[2133, 2131])).
% 18.90/12.56 tff(2135,plain,
% 18.90/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1)))),
% 18.90/12.56 inference(quant_inst,[status(thm)],[])).
% 18.90/12.56 tff(2136,plain,
% 18.90/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1))),
% 18.90/12.56 inference(modus_ponens,[status(thm)],[2135, 2134])).
% 18.90/12.56 tff(2137,plain,
% 18.90/12.56 (v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1))),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2136, 142, 2071])).
% 18.90/12.56 tff(2138,plain,
% 18.90/12.56 (v84(constB14, bitIndex1) | (~v84(constB15, bitIndex1))),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2137, 2083])).
% 18.90/12.56 tff(2139,plain,
% 18.90/12.56 (~v84(constB15, bitIndex1)),
% 18.90/12.56 inference(unit_resolution,[status(thm)],[2138, 2130])).
% 18.90/12.56 tff(2140,plain,
% 18.90/12.56 (^[VarCurr: $i] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))),
% 18.90/12.56 inference(bind,[status(th)],[])).
% 18.90/12.56 tff(2141,plain,
% 18.90/12.56 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 18.90/12.56 inference(quant_intro,[status(thm)],[2140])).
% 18.90/12.56 tff(2142,plain,
% 18.90/12.56 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2143,plain,
% 18.90/12.56 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, bitIndex0) | v118(VarCurr)) <=> (v118(VarCurr) | v124(VarCurr, bitIndex0))), (((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) <=> ((v118(VarCurr) | v124(VarCurr, bitIndex0)) | v172(VarCurr)))), rewrite(((v118(VarCurr) | v124(VarCurr, bitIndex0)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), (((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))), ((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> ((v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v116(VarCurr)))), rewrite(((v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), ((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))), (((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> ((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v115(VarCurr)))), rewrite(((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), (((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))), ((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> ((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v145(VarCurr)))), rewrite(((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), ((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))), (((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v113(VarCurr)))), rewrite(((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), (((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))))),
% 18.90/12.56 inference(bind,[status(th)],[])).
% 18.90/12.56 tff(2144,plain,
% 18.90/12.56 (![VarCurr: $i] : ((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 18.90/12.56 inference(quant_intro,[status(thm)],[2143])).
% 18.90/12.56 tff(2145,axiom,(![VarCurr: $i] : ((((((v124(VarCurr, bitIndex0) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_1')).
% 18.90/12.56 tff(2146,plain,
% 18.90/12.56 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 18.90/12.56 inference(modus_ponens,[status(thm)],[2145, 2144])).
% 18.90/12.56 tff(2147,plain,
% 18.90/12.56 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 18.90/12.56 inference(modus_ponens,[status(thm)],[2146, 2142])).
% 18.90/12.56 tff(2148,plain,(
% 18.90/12.56 ![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 18.90/12.56 inference(skolemize,[status(sab)],[2147])).
% 18.90/12.56 tff(2149,plain,
% 18.90/12.56 (![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 18.90/12.56 inference(modus_ponens,[status(thm)],[2148, 2141])).
% 18.90/12.56 tff(2150,plain,
% 18.90/12.56 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB13, bitIndex0) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB13, bitIndex0) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2151,plain,
% 18.90/12.56 ((v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | v124(constB13, bitIndex0)) <=> (v124(constB13, bitIndex0) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.90/12.56 inference(rewrite,[status(thm)],[])).
% 18.90/12.56 tff(2152,plain,
% 18.90/12.56 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | v124(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB13, bitIndex0) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13)))),
% 18.99/12.56 inference(monotonicity,[status(thm)],[2151])).
% 18.99/12.56 tff(2153,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | v124(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB13, bitIndex0) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13))),
% 18.99/12.56 inference(transitivity,[status(thm)],[2152, 2150])).
% 18.99/12.56 tff(2154,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | v124(constB13, bitIndex0))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2155,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB13, bitIndex0) | v118(constB13) | v145(constB13) | v113(constB13) | v116(constB13) | v115(constB13) | v172(constB13)),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 18.99/12.56 tff(2156,plain,
% 18.99/12.56 (v124(constB13, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2155, 2149, 2027, 2016, 2005, 1994, 1980, 1969])).
% 18.99/12.56 tff(2157,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB13) | (~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB13) | (~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2158,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB13) | (~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2159,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB13) | (~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0)),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 18.99/12.56 tff(2160,plain,
% 18.99/12.56 (v26(constB13) | v121(constB13, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2159, 557, 2156])).
% 18.99/12.56 tff(2161,plain,
% 18.99/12.56 (v121(constB13, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2160, 49])).
% 18.99/12.56 tff(2162,plain,
% 18.99/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2163,plain,
% 18.99/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2164,plain,
% 18.99/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0)),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2163, 2162])).
% 18.99/12.56 tff(2165,plain,
% 18.99/12.56 ((~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2164, 572, 1924])).
% 18.99/12.56 tff(2166,plain,
% 18.99/12.56 (v123(constB14, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2165, 2161])).
% 18.99/12.56 tff(2167,plain,
% 18.99/12.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2168,plain,
% 18.99/12.56 ((v84(constB14, bitIndex0) | (~v94(constB14)) | (~v123(constB14, bitIndex0))) <=> (v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2169,plain,
% 18.99/12.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v94(constB14)) | (~v123(constB14, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14))))),
% 18.99/12.56 inference(monotonicity,[status(thm)],[2168])).
% 18.99/12.56 tff(2170,plain,
% 18.99/12.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v94(constB14)) | (~v123(constB14, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14)))),
% 18.99/12.56 inference(transitivity,[status(thm)],[2169, 2167])).
% 18.99/12.56 tff(2171,plain,
% 18.99/12.56 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v94(constB14)) | (~v123(constB14, bitIndex0)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2172,plain,
% 18.99/12.56 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 18.99/12.56 tff(2173,plain,
% 18.99/12.56 (v84(constB14, bitIndex0) | (~v94(constB14))),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2172, 587, 2166])).
% 18.99/12.56 tff(2174,plain,
% 18.99/12.56 (v84(constB14, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2173, 1958])).
% 18.99/12.56 tff(2175,plain,
% 18.99/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2176,plain,
% 18.99/12.56 (((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0)) <=> ((~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2177,plain,
% 18.99/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0)))),
% 18.99/12.56 inference(monotonicity,[status(thm)],[2176])).
% 18.99/12.56 tff(2178,plain,
% 18.99/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0))),
% 18.99/12.56 inference(transitivity,[status(thm)],[2177, 2175])).
% 18.99/12.56 tff(2179,plain,
% 18.99/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2180,plain,
% 18.99/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0)),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 18.99/12.56 tff(2181,plain,
% 18.99/12.56 ((~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2180, 605, 2071])).
% 18.99/12.56 tff(2182,plain,
% 18.99/12.56 ((~v84(constB14, bitIndex0)) | v84(constB15, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2181, 2083])).
% 18.99/12.56 tff(2183,plain,
% 18.99/12.56 (v84(constB15, bitIndex0)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2182, 2174])).
% 18.99/12.56 tff(2184,plain,
% 18.99/12.56 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB15, bitIndex0)) | v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | v145(constB15))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB15, bitIndex0)) | v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | v145(constB15))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2185,plain,
% 18.99/12.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB15, bitIndex0)) | v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | v145(constB15))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2186,plain,
% 18.99/12.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB15, bitIndex0)) | v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | v145(constB15)),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2185, 2184])).
% 18.99/12.56 tff(2187,plain,
% 18.99/12.56 (v145(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2186, 624, 2183, 2139, 2092])).
% 18.99/12.56 tff(2188,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB15) | (~v145(constB15)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB15) | (~v145(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2189,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB15) | (~v145(constB15)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2190,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB15) | (~v145(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 18.99/12.56 tff(2191,plain,
% 18.99/12.56 (v112(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2190, 681, 2187])).
% 18.99/12.56 tff(2192,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB15) | (~v112(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2193,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB15) | (~v112(constB15)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2194,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB15) | (~v112(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2193, 2192])).
% 18.99/12.56 tff(2195,plain,
% 18.99/12.56 (v111(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2194, 206, 2191])).
% 18.99/12.56 tff(2196,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB15) | (~v111(constB15)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB15) | (~v111(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2197,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB15) | (~v111(constB15)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2198,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB15) | (~v111(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2197, 2196])).
% 18.99/12.56 tff(2199,plain,
% 18.99/12.56 (v110(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2198, 217, 2195])).
% 18.99/12.56 tff(2200,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB15) | (~v110(constB15)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB15) | (~v110(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2201,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB15) | (~v110(constB15)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2202,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB15) | (~v110(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2201, 2200])).
% 18.99/12.56 tff(2203,plain,
% 18.99/12.56 (v109(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2202, 228, 2199])).
% 18.99/12.56 tff(2204,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB15) | (~v109(constB15)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB15) | (~v109(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2205,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB15) | (~v109(constB15)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2206,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB15) | (~v109(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2205, 2204])).
% 18.99/12.56 tff(2207,plain,
% 18.99/12.56 (v108(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2206, 239, 2203])).
% 18.99/12.56 tff(2208,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB15) | (~v108(constB15)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB15) | (~v108(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2209,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB15) | (~v108(constB15)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2210,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB15) | (~v108(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2209, 2208])).
% 18.99/12.56 tff(2211,plain,
% 18.99/12.56 (v107(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2210, 250, 2207])).
% 18.99/12.56 tff(2212,assumption,(~v102(constB15)), introduced(assumption)).
% 18.99/12.56 tff(2213,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB15) | (~v106(constB15)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB15) | (~v106(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2214,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB15) | (~v106(constB15)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2215,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB15) | (~v106(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2214, 2213])).
% 18.99/12.56 tff(2216,plain,
% 18.99/12.56 (~v106(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2215, 276, 2212])).
% 18.99/12.56 tff(2217,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB15) | (~v26(constB15)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB15) | (~v26(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2218,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB15) | (~v26(constB15)))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2219,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB15) | (~v26(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 18.99/12.56 tff(2220,plain,
% 18.99/12.56 (~v26(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2219, 670, 2212])).
% 18.99/12.56 tff(2221,assumption,(v107(constB15)), introduced(assumption)).
% 18.99/12.56 tff(2222,plain,
% 18.99/12.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB15) | (~v107(constB15)) | v106(constB15))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB15) | (~v107(constB15)) | v106(constB15))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2223,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB15) | (~v107(constB15)) | v106(constB15))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2224,plain,
% 18.99/12.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB15) | (~v107(constB15)) | v106(constB15)),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 18.99/12.56 tff(2225,plain,
% 18.99/12.56 (v26(constB15) | v106(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2224, 264, 2221])).
% 18.99/12.56 tff(2226,plain,
% 18.99/12.56 ($false),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2225, 2220, 2216])).
% 18.99/12.56 tff(2227,plain,(v102(constB15) | (~v107(constB15))), inference(lemma,lemma(discharge,[]))).
% 18.99/12.56 tff(2228,plain,
% 18.99/12.56 (v102(constB15)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2227, 2211])).
% 18.99/12.56 tff(2229,plain,
% 18.99/12.56 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2230,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 18.99/12.56 tff(2231,plain,
% 18.99/12.56 (nextState(constB15, constB16)),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 18.99/12.56 tff(2232,plain,
% 18.99/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2233,plain,
% 18.99/12.56 (((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16)) <=> ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 18.99/12.56 inference(rewrite,[status(thm)],[])).
% 18.99/12.56 tff(2234,plain,
% 18.99/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15))))),
% 18.99/12.56 inference(monotonicity,[status(thm)],[2233])).
% 18.99/12.56 tff(2235,plain,
% 18.99/12.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 18.99/12.56 inference(transitivity,[status(thm)],[2234, 2232])).
% 18.99/12.56 tff(2236,plain,
% 18.99/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))),
% 18.99/12.56 inference(quant_inst,[status(thm)],[])).
% 18.99/12.56 tff(2237,plain,
% 18.99/12.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15))),
% 18.99/12.56 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 18.99/12.56 tff(2238,plain,
% 18.99/12.56 (v104(constB16) | (~v102(constB15))),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2237, 293, 2231])).
% 18.99/12.56 tff(2239,plain,
% 18.99/12.56 (v104(constB16)),
% 18.99/12.56 inference(unit_resolution,[status(thm)],[2238, 2228])).
% 18.99/12.56 tff(2240,plain,
% 18.99/12.56 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2241,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2242,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2241, 2240])).
% 18.99/12.57 tff(2243,plain,
% 18.99/12.57 (~v98(constB16)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2242, 311, 2231, 2068])).
% 18.99/12.57 tff(2244,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2245,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2246,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB15, constB16)) | v96(constB16) | v98(constB16)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2245, 2244])).
% 18.99/12.57 tff(2247,plain,
% 18.99/12.57 (v96(constB16) | v98(constB16)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2246, 325, 2231])).
% 18.99/12.57 tff(2248,plain,
% 18.99/12.57 (v96(constB16)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2247, 2243])).
% 18.99/12.57 tff(2249,plain,
% 18.99/12.57 (v1(constB16) <=> v1(constB16)),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2250,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 18.99/12.57 tff(2251,plain,
% 18.99/12.57 (v1(constB16)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 18.99/12.57 tff(2252,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2253,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2254,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 18.99/12.57 tff(2255,plain,
% 18.99/12.57 (v95(constB16) | (~v96(constB16))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2254, 343, 2231, 2251])).
% 18.99/12.57 tff(2256,plain,
% 18.99/12.57 (v95(constB16)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2255, 2248])).
% 18.99/12.57 tff(2257,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2258,plain,
% 18.99/12.57 (((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16)) <=> ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2259,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16))))),
% 18.99/12.57 inference(monotonicity,[status(thm)],[2258])).
% 18.99/12.57 tff(2260,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 18.99/12.57 inference(transitivity,[status(thm)],[2259, 2257])).
% 18.99/12.57 tff(2261,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2262,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2261, 2260])).
% 18.99/12.57 tff(2263,plain,
% 18.99/12.57 (v94(constB16) | (~v95(constB16)) | (~v104(constB16))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2262, 358, 2231])).
% 18.99/12.57 tff(2264,plain,
% 18.99/12.57 (v94(constB16) | (~v104(constB16))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2263, 2256])).
% 18.99/12.57 tff(2265,plain,
% 18.99/12.57 (v94(constB16)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2264, 2239])).
% 18.99/12.57 tff(2266,plain,
% 18.99/12.57 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB15)) | (~v124(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB15)) | (~v124(constB15, bitIndex2)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2267,plain,
% 18.99/12.57 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB15)) | (~v124(constB15, bitIndex2)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2268,plain,
% 18.99/12.57 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB15)) | (~v124(constB15, bitIndex2))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 18.99/12.57 tff(2269,plain,
% 18.99/12.57 (~v124(constB15, bitIndex2)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2268, 638, 2187])).
% 18.99/12.57 tff(2270,assumption,(v26(constB15)), introduced(assumption)).
% 18.99/12.57 tff(2271,plain,
% 18.99/12.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2272,plain,
% 18.99/12.57 ($false),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2271, 18, 2270])).
% 18.99/12.57 tff(2273,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 18.99/12.57 tff(2274,plain,
% 18.99/12.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2275,plain,
% 18.99/12.57 ((v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2))) <=> ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2276,plain,
% 18.99/12.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2)))),
% 18.99/12.57 inference(monotonicity,[status(thm)],[2275])).
% 18.99/12.57 tff(2277,plain,
% 18.99/12.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 18.99/12.57 inference(transitivity,[status(thm)],[2276, 2274])).
% 18.99/12.57 tff(2278,plain,
% 18.99/12.57 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2279,plain,
% 18.99/12.57 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 18.99/12.57 tff(2280,plain,
% 18.99/12.57 ((~v121(constB15, bitIndex2)) | v124(constB15, bitIndex2)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2279, 391, 2273])).
% 18.99/12.57 tff(2281,plain,
% 18.99/12.57 (~v121(constB15, bitIndex2)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2280, 2269])).
% 18.99/12.57 tff(2282,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2283,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2284,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 18.99/12.57 tff(2285,plain,
% 18.99/12.57 (v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2284, 409, 2231])).
% 18.99/12.57 tff(2286,plain,
% 18.99/12.57 (~v123(constB16, bitIndex2)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2285, 2281])).
% 18.99/12.57 tff(2287,plain,
% 18.99/12.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2288,plain,
% 18.99/12.57 (((~v84(constB16, bitIndex2)) | (~v94(constB16)) | v123(constB16, bitIndex2)) <=> ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2289,plain,
% 18.99/12.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | (~v94(constB16)) | v123(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16))))),
% 18.99/12.57 inference(monotonicity,[status(thm)],[2288])).
% 18.99/12.57 tff(2290,plain,
% 18.99/12.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | (~v94(constB16)) | v123(constB16, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 18.99/12.57 inference(transitivity,[status(thm)],[2289, 2287])).
% 18.99/12.57 tff(2291,plain,
% 18.99/12.57 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB16, bitIndex2)) | (~v94(constB16)) | v123(constB16, bitIndex2))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2292,plain,
% 18.99/12.57 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2291, 2290])).
% 18.99/12.57 tff(2293,plain,
% 18.99/12.57 ((~v84(constB16, bitIndex2)) | (~v94(constB16))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2292, 424, 2286])).
% 18.99/12.57 tff(2294,plain,
% 18.99/12.57 (~v84(constB16, bitIndex2)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2293, 2265])).
% 18.99/12.57 tff(2295,plain,
% 18.99/12.57 ((~v1(constB17)) <=> (~v1(constB17))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2296,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 18.99/12.57 tff(2297,plain,
% 18.99/12.57 (~v1(constB17)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2296, 2295])).
% 18.99/12.57 tff(2298,plain,
% 18.99/12.57 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2299,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 18.99/12.57 tff(2300,plain,
% 18.99/12.57 (nextState(constB16, constB17)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 18.99/12.57 tff(2301,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2302,plain,
% 18.99/12.57 (((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2303,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17))))),
% 18.99/12.57 inference(monotonicity,[status(thm)],[2302])).
% 18.99/12.57 tff(2304,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 18.99/12.57 inference(transitivity,[status(thm)],[2303, 2301])).
% 18.99/12.57 tff(2305,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2306,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 18.99/12.57 tff(2307,plain,
% 18.99/12.57 (~v95(constB17)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2306, 89, 2300, 2297])).
% 18.99/12.57 tff(2308,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2309,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2310,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 18.99/12.57 tff(2311,plain,
% 18.99/12.57 (v95(constB17) | (~v94(constB17))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2310, 106, 2300])).
% 18.99/12.57 tff(2312,plain,
% 18.99/12.57 (~v94(constB17)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2311, 2307])).
% 18.99/12.57 tff(2313,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2314,plain,
% 18.99/12.57 (((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2))) <=> (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2315,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2))))),
% 18.99/12.57 inference(monotonicity,[status(thm)],[2314])).
% 18.99/12.57 tff(2316,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 18.99/12.57 inference(transitivity,[status(thm)],[2315, 2313])).
% 18.99/12.57 tff(2317,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2318,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 18.99/12.57 tff(2319,plain,
% 18.99/12.57 (v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2318, 121, 2300])).
% 18.99/12.57 tff(2320,plain,
% 18.99/12.57 (v84(constB16, bitIndex2) | (~v84(constB17, bitIndex2))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2319, 2312])).
% 18.99/12.57 tff(2321,plain,
% 18.99/12.57 (~v84(constB17, bitIndex2)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2320, 2294])).
% 18.99/12.57 tff(2322,plain,
% 18.99/12.57 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB15)) | v124(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB15)) | v124(constB15, bitIndex1))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2323,plain,
% 18.99/12.57 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB15)) | v124(constB15, bitIndex1))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2324,plain,
% 18.99/12.57 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB15)) | v124(constB15, bitIndex1)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 18.99/12.57 tff(2325,plain,
% 18.99/12.57 (v124(constB15, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2324, 790, 2187])).
% 18.99/12.57 tff(2326,plain,
% 18.99/12.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB15) | (~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB15) | (~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2327,plain,
% 18.99/12.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB15) | (~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2328,plain,
% 18.99/12.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB15) | (~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2327, 2326])).
% 18.99/12.57 tff(2329,plain,
% 18.99/12.57 ((~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2328, 804, 2273])).
% 18.99/12.57 tff(2330,plain,
% 18.99/12.57 (v121(constB15, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2329, 2325])).
% 18.99/12.57 tff(2331,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2332,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2333,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2332, 2331])).
% 18.99/12.57 tff(2334,plain,
% 18.99/12.57 ((~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2333, 819, 2231])).
% 18.99/12.57 tff(2335,plain,
% 18.99/12.57 (v123(constB16, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2334, 2330])).
% 18.99/12.57 tff(2336,plain,
% 18.99/12.57 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2337,plain,
% 18.99/12.57 ((v84(constB16, bitIndex1) | (~v94(constB16)) | (~v123(constB16, bitIndex1))) <=> (v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2338,plain,
% 18.99/12.57 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v94(constB16)) | (~v123(constB16, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16))))),
% 18.99/12.57 inference(monotonicity,[status(thm)],[2337])).
% 18.99/12.57 tff(2339,plain,
% 18.99/12.57 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v94(constB16)) | (~v123(constB16, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16)))),
% 18.99/12.57 inference(transitivity,[status(thm)],[2338, 2336])).
% 18.99/12.57 tff(2340,plain,
% 18.99/12.57 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v94(constB16)) | (~v123(constB16, bitIndex1)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2341,plain,
% 18.99/12.57 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2340, 2339])).
% 18.99/12.57 tff(2342,plain,
% 18.99/12.57 (v84(constB16, bitIndex1) | (~v94(constB16))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2341, 834, 2335])).
% 18.99/12.57 tff(2343,plain,
% 18.99/12.57 (v84(constB16, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2342, 2265])).
% 18.99/12.57 tff(2344,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2345,plain,
% 18.99/12.57 (((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1)) <=> ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2346,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1)))),
% 18.99/12.57 inference(monotonicity,[status(thm)],[2345])).
% 18.99/12.57 tff(2347,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 18.99/12.57 inference(transitivity,[status(thm)],[2346, 2344])).
% 18.99/12.57 tff(2348,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2349,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2348, 2347])).
% 18.99/12.57 tff(2350,plain,
% 18.99/12.57 ((~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2349, 852, 2300])).
% 18.99/12.57 tff(2351,plain,
% 18.99/12.57 ((~v84(constB16, bitIndex1)) | v84(constB17, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2350, 2312])).
% 18.99/12.57 tff(2352,plain,
% 18.99/12.57 (v84(constB17, bitIndex1)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2351, 2343])).
% 18.99/12.57 tff(2353,plain,
% 18.99/12.57 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB15)) | (~v124(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB15)) | (~v124(constB15, bitIndex0)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2354,plain,
% 18.99/12.57 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB15)) | (~v124(constB15, bitIndex0)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2355,plain,
% 18.99/12.57 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB15)) | (~v124(constB15, bitIndex0))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 18.99/12.57 tff(2356,plain,
% 18.99/12.57 (~v124(constB15, bitIndex0)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2355, 871, 2187])).
% 18.99/12.57 tff(2357,plain,
% 18.99/12.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2358,plain,
% 18.99/12.57 ((v26(constB15) | v124(constB15, bitIndex0) | (~v121(constB15, bitIndex0))) <=> ((~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2359,plain,
% 18.99/12.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB15) | v124(constB15, bitIndex0) | (~v121(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0)))),
% 18.99/12.57 inference(monotonicity,[status(thm)],[2358])).
% 18.99/12.57 tff(2360,plain,
% 18.99/12.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB15) | v124(constB15, bitIndex0) | (~v121(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0))),
% 18.99/12.57 inference(transitivity,[status(thm)],[2359, 2357])).
% 18.99/12.57 tff(2361,plain,
% 18.99/12.57 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB15) | v124(constB15, bitIndex0) | (~v121(constB15, bitIndex0)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2362,plain,
% 18.99/12.57 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0)),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2361, 2360])).
% 18.99/12.57 tff(2363,plain,
% 18.99/12.57 ((~v121(constB15, bitIndex0)) | v124(constB15, bitIndex0)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2362, 885, 2273])).
% 18.99/12.57 tff(2364,plain,
% 18.99/12.57 (~v121(constB15, bitIndex0)),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2363, 2356])).
% 18.99/12.57 tff(2365,plain,
% 18.99/12.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0)))),
% 18.99/12.57 inference(rewrite,[status(thm)],[])).
% 18.99/12.57 tff(2366,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0)))),
% 18.99/12.57 inference(quant_inst,[status(thm)],[])).
% 18.99/12.57 tff(2367,plain,
% 18.99/12.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0))),
% 18.99/12.57 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 18.99/12.57 tff(2368,plain,
% 18.99/12.57 (v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0))),
% 18.99/12.57 inference(unit_resolution,[status(thm)],[2367, 903, 2231])).
% 18.99/12.58 tff(2369,plain,
% 18.99/12.58 (~v123(constB16, bitIndex0)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2368, 2364])).
% 18.99/12.58 tff(2370,plain,
% 18.99/12.58 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2371,plain,
% 18.99/12.58 (((~v84(constB16, bitIndex0)) | (~v94(constB16)) | v123(constB16, bitIndex0)) <=> ((~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2372,plain,
% 18.99/12.58 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~v94(constB16)) | v123(constB16, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16))))),
% 18.99/12.58 inference(monotonicity,[status(thm)],[2371])).
% 18.99/12.58 tff(2373,plain,
% 18.99/12.58 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~v94(constB16)) | v123(constB16, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16)))),
% 18.99/12.58 inference(transitivity,[status(thm)],[2372, 2370])).
% 18.99/12.58 tff(2374,plain,
% 18.99/12.58 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~v94(constB16)) | v123(constB16, bitIndex0))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2375,plain,
% 18.99/12.58 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 18.99/12.58 tff(2376,plain,
% 18.99/12.58 ((~v84(constB16, bitIndex0)) | (~v94(constB16))),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2375, 918, 2369])).
% 18.99/12.58 tff(2377,plain,
% 18.99/12.58 (~v84(constB16, bitIndex0)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2376, 2265])).
% 18.99/12.58 tff(2378,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2379,plain,
% 18.99/12.58 (((~nextState(constB16, constB17)) | v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0))) <=> (v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2380,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0))))),
% 18.99/12.58 inference(monotonicity,[status(thm)],[2379])).
% 18.99/12.58 tff(2381,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0)))),
% 18.99/12.58 inference(transitivity,[status(thm)],[2380, 2378])).
% 18.99/12.58 tff(2382,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2383,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2382, 2381])).
% 18.99/12.58 tff(2384,plain,
% 18.99/12.58 (v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0))),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2383, 163, 2300])).
% 18.99/12.58 tff(2385,plain,
% 18.99/12.58 (v84(constB16, bitIndex0) | (~v84(constB17, bitIndex0))),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2384, 2312])).
% 18.99/12.58 tff(2386,plain,
% 18.99/12.58 (~v84(constB17, bitIndex0)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2385, 2377])).
% 18.99/12.58 tff(2387,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v115(constB17))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v115(constB17))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2388,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v115(constB17))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2389,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v115(constB17)),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2388, 2387])).
% 18.99/12.58 tff(2390,plain,
% 18.99/12.58 (v115(constB17)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2389, 945, 2386, 2352, 2321])).
% 18.99/12.58 tff(2391,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB17) | (~v115(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2392,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB17) | (~v115(constB17)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2393,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB17) | (~v115(constB17))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 18.99/12.58 tff(2394,plain,
% 18.99/12.58 (v111(constB17)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2393, 956, 2390])).
% 18.99/12.58 tff(2395,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB17) | (~v111(constB17)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB17) | (~v111(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2396,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB17) | (~v111(constB17)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2397,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB17) | (~v111(constB17))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2396, 2395])).
% 18.99/12.58 tff(2398,plain,
% 18.99/12.58 (v110(constB17)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2397, 217, 2394])).
% 18.99/12.58 tff(2399,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB17) | (~v110(constB17)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB17) | (~v110(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2400,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB17) | (~v110(constB17)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2401,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB17) | (~v110(constB17))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2400, 2399])).
% 18.99/12.58 tff(2402,plain,
% 18.99/12.58 (v109(constB17)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2401, 228, 2398])).
% 18.99/12.58 tff(2403,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB17) | (~v109(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB17) | (~v109(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2404,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB17) | (~v109(constB17)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2405,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB17) | (~v109(constB17))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2404, 2403])).
% 18.99/12.58 tff(2406,plain,
% 18.99/12.58 (v108(constB17)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2405, 239, 2402])).
% 18.99/12.58 tff(2407,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB17) | (~v108(constB17)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB17) | (~v108(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2408,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB17) | (~v108(constB17)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2409,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB17) | (~v108(constB17))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2408, 2407])).
% 18.99/12.58 tff(2410,plain,
% 18.99/12.58 (v107(constB17)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2409, 250, 2406])).
% 18.99/12.58 tff(2411,assumption,(v26(constB17)), introduced(assumption)).
% 18.99/12.58 tff(2412,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2413,plain,
% 18.99/12.58 ($false),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2412, 18, 2411])).
% 18.99/12.58 tff(2414,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 18.99/12.58 tff(2415,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | v106(constB17) | (~v107(constB17)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | v106(constB17) | (~v107(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2416,plain,
% 18.99/12.58 ((v26(constB17) | (~v107(constB17)) | v106(constB17)) <=> (v26(constB17) | v106(constB17) | (~v107(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2417,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | v106(constB17) | (~v107(constB17))))),
% 18.99/12.58 inference(monotonicity,[status(thm)],[2416])).
% 18.99/12.58 tff(2418,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | v106(constB17) | (~v107(constB17)))),
% 18.99/12.58 inference(transitivity,[status(thm)],[2417, 2415])).
% 18.99/12.58 tff(2419,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2420,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | v106(constB17) | (~v107(constB17))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2419, 2418])).
% 18.99/12.58 tff(2421,plain,
% 18.99/12.58 (v106(constB17) | (~v107(constB17))),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2420, 264, 2414])).
% 18.99/12.58 tff(2422,plain,
% 18.99/12.58 (v106(constB17)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2421, 2410])).
% 18.99/12.58 tff(2423,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB17) | (~v106(constB17)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB17) | (~v106(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2424,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB17) | (~v106(constB17)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2425,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB17) | (~v106(constB17))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2424, 2423])).
% 18.99/12.58 tff(2426,plain,
% 18.99/12.58 (v102(constB17)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2425, 276, 2422])).
% 18.99/12.58 tff(2427,plain,
% 18.99/12.58 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2428,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 18.99/12.58 tff(2429,plain,
% 18.99/12.58 (nextState(constB17, constB18)),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2428, 2427])).
% 18.99/12.58 tff(2430,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2431,plain,
% 18.99/12.58 (((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18)) <=> ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2432,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17))))),
% 18.99/12.58 inference(monotonicity,[status(thm)],[2431])).
% 18.99/12.58 tff(2433,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 18.99/12.58 inference(transitivity,[status(thm)],[2432, 2430])).
% 18.99/12.58 tff(2434,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2435,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 18.99/12.58 tff(2436,plain,
% 18.99/12.58 (v104(constB18) | (~v102(constB17))),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2435, 293, 2429])).
% 18.99/12.58 tff(2437,plain,
% 18.99/12.58 (v104(constB18)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2436, 2426])).
% 18.99/12.58 tff(2438,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2439,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2440,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2439, 2438])).
% 18.99/12.58 tff(2441,plain,
% 18.99/12.58 (~v98(constB18)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2440, 311, 2429, 2297])).
% 18.99/12.58 tff(2442,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2443,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2444,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB17, constB18)) | v96(constB18) | v98(constB18)),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 18.99/12.58 tff(2445,plain,
% 18.99/12.58 (v96(constB18) | v98(constB18)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2444, 325, 2429])).
% 18.99/12.58 tff(2446,plain,
% 18.99/12.58 (v96(constB18)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2445, 2441])).
% 18.99/12.58 tff(2447,plain,
% 18.99/12.58 (v1(constB18) <=> v1(constB18)),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2448,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 18.99/12.58 tff(2449,plain,
% 18.99/12.58 (v1(constB18)),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2448, 2447])).
% 18.99/12.58 tff(2450,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2451,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2452,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 18.99/12.58 tff(2453,plain,
% 18.99/12.58 (v95(constB18) | (~v96(constB18))),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2452, 343, 2429, 2449])).
% 18.99/12.58 tff(2454,plain,
% 18.99/12.58 (v95(constB18)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2453, 2446])).
% 18.99/12.58 tff(2455,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2456,plain,
% 18.99/12.58 (((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18)) <=> ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2457,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18))))),
% 18.99/12.58 inference(monotonicity,[status(thm)],[2456])).
% 18.99/12.58 tff(2458,plain,
% 18.99/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 18.99/12.58 inference(transitivity,[status(thm)],[2457, 2455])).
% 18.99/12.58 tff(2459,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2460,plain,
% 18.99/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2459, 2458])).
% 18.99/12.58 tff(2461,plain,
% 18.99/12.58 (v94(constB18) | (~v95(constB18)) | (~v104(constB18))),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2460, 358, 2429])).
% 18.99/12.58 tff(2462,plain,
% 18.99/12.58 (v94(constB18) | (~v104(constB18))),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2461, 2454])).
% 18.99/12.58 tff(2463,plain,
% 18.99/12.58 (v94(constB18)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2462, 2437])).
% 18.99/12.58 tff(2464,plain,
% 18.99/12.58 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB17)) | (~v124(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB17)) | (~v124(constB17, bitIndex2)))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2465,plain,
% 18.99/12.58 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB17)) | (~v124(constB17, bitIndex2)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2466,plain,
% 18.99/12.58 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB17)) | (~v124(constB17, bitIndex2))),
% 18.99/12.58 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 18.99/12.58 tff(2467,plain,
% 18.99/12.58 (~v124(constB17, bitIndex2)),
% 18.99/12.58 inference(unit_resolution,[status(thm)],[2466, 1032, 2390])).
% 18.99/12.58 tff(2468,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2469,plain,
% 18.99/12.58 ((v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2))) <=> ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 18.99/12.58 inference(rewrite,[status(thm)],[])).
% 18.99/12.58 tff(2470,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2)))),
% 18.99/12.58 inference(monotonicity,[status(thm)],[2469])).
% 18.99/12.58 tff(2471,plain,
% 18.99/12.58 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 18.99/12.58 inference(transitivity,[status(thm)],[2470, 2468])).
% 18.99/12.58 tff(2472,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))),
% 18.99/12.58 inference(quant_inst,[status(thm)],[])).
% 18.99/12.58 tff(2473,plain,
% 18.99/12.58 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2)),
% 19.01/12.58 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 19.01/12.58 tff(2474,plain,
% 19.01/12.58 ((~v121(constB17, bitIndex2)) | v124(constB17, bitIndex2)),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2473, 391, 2414])).
% 19.01/12.58 tff(2475,plain,
% 19.01/12.58 (~v121(constB17, bitIndex2)),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2474, 2467])).
% 19.01/12.58 tff(2476,plain,
% 19.01/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))),
% 19.01/12.58 inference(rewrite,[status(thm)],[])).
% 19.01/12.58 tff(2477,plain,
% 19.01/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))),
% 19.01/12.58 inference(quant_inst,[status(thm)],[])).
% 19.01/12.58 tff(2478,plain,
% 19.01/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2))),
% 19.01/12.58 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 19.01/12.58 tff(2479,plain,
% 19.01/12.58 (v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2))),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2478, 409, 2429])).
% 19.01/12.58 tff(2480,plain,
% 19.01/12.58 (~v123(constB18, bitIndex2)),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2479, 2475])).
% 19.01/12.58 tff(2481,plain,
% 19.01/12.58 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 19.01/12.58 inference(rewrite,[status(thm)],[])).
% 19.01/12.58 tff(2482,plain,
% 19.01/12.58 (((~v84(constB18, bitIndex2)) | (~v94(constB18)) | v123(constB18, bitIndex2)) <=> ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 19.01/12.58 inference(rewrite,[status(thm)],[])).
% 19.01/12.58 tff(2483,plain,
% 19.01/12.58 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | (~v94(constB18)) | v123(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18))))),
% 19.01/12.58 inference(monotonicity,[status(thm)],[2482])).
% 19.01/12.58 tff(2484,plain,
% 19.01/12.58 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | (~v94(constB18)) | v123(constB18, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 19.01/12.58 inference(transitivity,[status(thm)],[2483, 2481])).
% 19.01/12.58 tff(2485,plain,
% 19.01/12.58 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB18, bitIndex2)) | (~v94(constB18)) | v123(constB18, bitIndex2))),
% 19.01/12.58 inference(quant_inst,[status(thm)],[])).
% 19.01/12.58 tff(2486,plain,
% 19.01/12.58 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18))),
% 19.01/12.58 inference(modus_ponens,[status(thm)],[2485, 2484])).
% 19.01/12.58 tff(2487,plain,
% 19.01/12.58 ((~v84(constB18, bitIndex2)) | (~v94(constB18))),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2486, 424, 2480])).
% 19.01/12.58 tff(2488,plain,
% 19.01/12.58 (~v84(constB18, bitIndex2)),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2487, 2463])).
% 19.01/12.58 tff(2489,plain,
% 19.01/12.58 ((~v1(constB19)) <=> (~v1(constB19))),
% 19.01/12.58 inference(rewrite,[status(thm)],[])).
% 19.01/12.58 tff(2490,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 19.01/12.58 tff(2491,plain,
% 19.01/12.58 (~v1(constB19)),
% 19.01/12.58 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 19.01/12.58 tff(2492,plain,
% 19.01/12.58 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 19.01/12.58 inference(rewrite,[status(thm)],[])).
% 19.01/12.58 tff(2493,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 19.01/12.58 tff(2494,plain,
% 19.01/12.58 (nextState(constB18, constB19)),
% 19.01/12.58 inference(modus_ponens,[status(thm)],[2493, 2492])).
% 19.01/12.58 tff(2495,plain,
% 19.01/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 19.01/12.58 inference(rewrite,[status(thm)],[])).
% 19.01/12.58 tff(2496,plain,
% 19.01/12.58 (((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 19.01/12.58 inference(rewrite,[status(thm)],[])).
% 19.01/12.58 tff(2497,plain,
% 19.01/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19))))),
% 19.01/12.58 inference(monotonicity,[status(thm)],[2496])).
% 19.01/12.58 tff(2498,plain,
% 19.01/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 19.01/12.58 inference(transitivity,[status(thm)],[2497, 2495])).
% 19.01/12.58 tff(2499,plain,
% 19.01/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))),
% 19.01/12.58 inference(quant_inst,[status(thm)],[])).
% 19.01/12.58 tff(2500,plain,
% 19.01/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19))),
% 19.01/12.58 inference(modus_ponens,[status(thm)],[2499, 2498])).
% 19.01/12.58 tff(2501,plain,
% 19.01/12.58 (~v95(constB19)),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2500, 89, 2494, 2491])).
% 19.01/12.58 tff(2502,plain,
% 19.01/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))),
% 19.01/12.58 inference(rewrite,[status(thm)],[])).
% 19.01/12.58 tff(2503,plain,
% 19.01/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))),
% 19.01/12.58 inference(quant_inst,[status(thm)],[])).
% 19.01/12.58 tff(2504,plain,
% 19.01/12.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19))),
% 19.01/12.58 inference(modus_ponens,[status(thm)],[2503, 2502])).
% 19.01/12.58 tff(2505,plain,
% 19.01/12.58 (v95(constB19) | (~v94(constB19))),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2504, 106, 2494])).
% 19.01/12.58 tff(2506,plain,
% 19.01/12.58 (~v94(constB19)),
% 19.01/12.58 inference(unit_resolution,[status(thm)],[2505, 2501])).
% 19.01/12.58 tff(2507,plain,
% 19.01/12.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2508,plain,
% 19.01/12.59 (((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2))) <=> (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2509,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2))))),
% 19.01/12.59 inference(monotonicity,[status(thm)],[2508])).
% 19.01/12.59 tff(2510,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 19.01/12.59 inference(transitivity,[status(thm)],[2509, 2507])).
% 19.01/12.59 tff(2511,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2512,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 19.01/12.59 tff(2513,plain,
% 19.01/12.59 (v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2))),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2512, 121, 2494])).
% 19.01/12.59 tff(2514,plain,
% 19.01/12.59 (v84(constB18, bitIndex2) | (~v84(constB19, bitIndex2))),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2513, 2506])).
% 19.01/12.59 tff(2515,plain,
% 19.01/12.59 (~v84(constB19, bitIndex2)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2514, 2488])).
% 19.01/12.59 tff(2516,plain,
% 19.01/12.59 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB17)) | v124(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB17)) | v124(constB17, bitIndex1))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2517,plain,
% 19.01/12.59 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB17)) | v124(constB17, bitIndex1))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2518,plain,
% 19.01/12.59 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB17)) | v124(constB17, bitIndex1)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 19.01/12.59 tff(2519,plain,
% 19.01/12.59 (v124(constB17, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2518, 1094, 2390])).
% 19.01/12.59 tff(2520,plain,
% 19.01/12.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2521,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2522,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 19.01/12.59 tff(2523,plain,
% 19.01/12.59 ((~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2522, 804, 2414])).
% 19.01/12.59 tff(2524,plain,
% 19.01/12.59 (v121(constB17, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2523, 2519])).
% 19.01/12.59 tff(2525,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2526,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2527,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2526, 2525])).
% 19.01/12.59 tff(2528,plain,
% 19.01/12.59 ((~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2527, 819, 2429])).
% 19.01/12.59 tff(2529,plain,
% 19.01/12.59 (v123(constB18, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2528, 2524])).
% 19.01/12.59 tff(2530,plain,
% 19.01/12.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2531,plain,
% 19.01/12.59 ((v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1))) <=> (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2532,plain,
% 19.01/12.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18))))),
% 19.01/12.59 inference(monotonicity,[status(thm)],[2531])).
% 19.01/12.59 tff(2533,plain,
% 19.01/12.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 19.01/12.59 inference(transitivity,[status(thm)],[2532, 2530])).
% 19.01/12.59 tff(2534,plain,
% 19.01/12.59 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2535,plain,
% 19.01/12.59 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2534, 2533])).
% 19.01/12.59 tff(2536,plain,
% 19.01/12.59 (v84(constB18, bitIndex1) | (~v94(constB18))),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2535, 834, 2529])).
% 19.01/12.59 tff(2537,plain,
% 19.01/12.59 (v84(constB18, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2536, 2463])).
% 19.01/12.59 tff(2538,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2539,plain,
% 19.01/12.59 (((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1)) <=> ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2540,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1)))),
% 19.01/12.59 inference(monotonicity,[status(thm)],[2539])).
% 19.01/12.59 tff(2541,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 19.01/12.59 inference(transitivity,[status(thm)],[2540, 2538])).
% 19.01/12.59 tff(2542,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2543,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2542, 2541])).
% 19.01/12.59 tff(2544,plain,
% 19.01/12.59 ((~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2543, 852, 2494])).
% 19.01/12.59 tff(2545,plain,
% 19.01/12.59 ((~v84(constB18, bitIndex1)) | v84(constB19, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2544, 2506])).
% 19.01/12.59 tff(2546,plain,
% 19.01/12.59 (v84(constB19, bitIndex1)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2545, 2537])).
% 19.01/12.59 tff(2547,plain,
% 19.01/12.59 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB17)) | v124(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB17)) | v124(constB17, bitIndex0))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2548,plain,
% 19.01/12.59 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB17)) | v124(constB17, bitIndex0))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2549,plain,
% 19.01/12.59 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB17)) | v124(constB17, bitIndex0)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2548, 2547])).
% 19.01/12.59 tff(2550,plain,
% 19.01/12.59 (v124(constB17, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2549, 1135, 2390])).
% 19.01/12.59 tff(2551,plain,
% 19.01/12.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2552,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2553,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2552, 2551])).
% 19.01/12.59 tff(2554,plain,
% 19.01/12.59 ((~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2553, 557, 2414])).
% 19.01/12.59 tff(2555,plain,
% 19.01/12.59 (v121(constB17, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2554, 2550])).
% 19.01/12.59 tff(2556,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2557,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2558,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2557, 2556])).
% 19.01/12.59 tff(2559,plain,
% 19.01/12.59 ((~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2558, 572, 2429])).
% 19.01/12.59 tff(2560,plain,
% 19.01/12.59 (v123(constB18, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2559, 2555])).
% 19.01/12.59 tff(2561,plain,
% 19.01/12.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2562,plain,
% 19.01/12.59 ((v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0))) <=> (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2563,plain,
% 19.01/12.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18))))),
% 19.01/12.59 inference(monotonicity,[status(thm)],[2562])).
% 19.01/12.59 tff(2564,plain,
% 19.01/12.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 19.01/12.59 inference(transitivity,[status(thm)],[2563, 2561])).
% 19.01/12.59 tff(2565,plain,
% 19.01/12.59 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2566,plain,
% 19.01/12.59 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2565, 2564])).
% 19.01/12.59 tff(2567,plain,
% 19.01/12.59 (v84(constB18, bitIndex0) | (~v94(constB18))),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2566, 587, 2560])).
% 19.01/12.59 tff(2568,plain,
% 19.01/12.59 (v84(constB18, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2567, 2463])).
% 19.01/12.59 tff(2569,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2570,plain,
% 19.01/12.59 (((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0)) <=> ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2571,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0)))),
% 19.01/12.59 inference(monotonicity,[status(thm)],[2570])).
% 19.01/12.59 tff(2572,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 19.01/12.59 inference(transitivity,[status(thm)],[2571, 2569])).
% 19.01/12.59 tff(2573,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2574,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 19.01/12.59 tff(2575,plain,
% 19.01/12.59 ((~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2574, 605, 2494])).
% 19.01/12.59 tff(2576,plain,
% 19.01/12.59 ((~v84(constB18, bitIndex0)) | v84(constB19, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2575, 2506])).
% 19.01/12.59 tff(2577,plain,
% 19.01/12.59 (v84(constB19, bitIndex0)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2576, 2568])).
% 19.01/12.59 tff(2578,plain,
% 19.01/12.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2579,plain,
% 19.01/12.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2580,plain,
% 19.01/12.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2579, 2578])).
% 19.01/12.59 tff(2581,plain,
% 19.01/12.59 (v116(constB19)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2580, 1176, 2577, 2546, 2515])).
% 19.01/12.59 tff(2582,plain,
% 19.01/12.59 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB19) | (~v116(constB19)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2583,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB19) | (~v116(constB19)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2584,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB19) | (~v116(constB19))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2583, 2582])).
% 19.01/12.59 tff(2585,plain,
% 19.01/12.59 (v110(constB19)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2584, 1187, 2581])).
% 19.01/12.59 tff(2586,plain,
% 19.01/12.59 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB19) | (~v110(constB19)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB19) | (~v110(constB19)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2587,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB19) | (~v110(constB19)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2588,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB19) | (~v110(constB19))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2587, 2586])).
% 19.01/12.59 tff(2589,plain,
% 19.01/12.59 (v109(constB19)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2588, 228, 2585])).
% 19.01/12.59 tff(2590,plain,
% 19.01/12.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB19) | (~v109(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB19) | (~v109(constB19)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2591,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB19) | (~v109(constB19)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2592,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB19) | (~v109(constB19))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2591, 2590])).
% 19.01/12.59 tff(2593,plain,
% 19.01/12.59 (v108(constB19)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2592, 239, 2589])).
% 19.01/12.59 tff(2594,plain,
% 19.01/12.59 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB19) | (~v108(constB19)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB19) | (~v108(constB19)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2595,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB19) | (~v108(constB19)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2596,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB19) | (~v108(constB19))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 19.01/12.59 tff(2597,plain,
% 19.01/12.59 (v107(constB19)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2596, 250, 2593])).
% 19.01/12.59 tff(2598,assumption,(v26(constB18)), introduced(assumption)).
% 19.01/12.59 tff(2599,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB18))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2600,plain,
% 19.01/12.59 ($false),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2599, 18, 2598])).
% 19.01/12.59 tff(2601,plain,(~v26(constB18)), inference(lemma,lemma(discharge,[]))).
% 19.01/12.59 tff(2602,plain,
% 19.01/12.59 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 19.01/12.59 inference(bind,[status(th)],[])).
% 19.01/12.59 tff(2603,plain,
% 19.01/12.59 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 19.01/12.59 inference(quant_intro,[status(thm)],[2602])).
% 19.01/12.59 tff(2604,plain,
% 19.01/12.59 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2605,plain,
% 19.01/12.59 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 19.01/12.59 inference(bind,[status(th)],[])).
% 19.01/12.59 tff(2606,plain,
% 19.01/12.59 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 19.01/12.59 inference(quant_intro,[status(thm)],[2605])).
% 19.01/12.59 tff(2607,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 19.01/12.59 tff(2608,plain,
% 19.01/12.59 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 19.01/12.59 tff(2609,plain,
% 19.01/12.59 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2608, 2604])).
% 19.01/12.59 tff(2610,plain,(
% 19.01/12.59 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 19.01/12.59 inference(skolemize,[status(sab)],[2609])).
% 19.01/12.59 tff(2611,plain,
% 19.01/12.59 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2610, 2603])).
% 19.01/12.59 tff(2612,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2613,plain,
% 19.01/12.59 ((v26(constB18) | (~nextState(constB18, constB19)) | (~v66(constB19))) <=> ((~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2614,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB18) | (~nextState(constB18, constB19)) | (~v66(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19))))),
% 19.01/12.59 inference(monotonicity,[status(thm)],[2613])).
% 19.01/12.59 tff(2615,plain,
% 19.01/12.59 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB18) | (~nextState(constB18, constB19)) | (~v66(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19)))),
% 19.01/12.59 inference(transitivity,[status(thm)],[2614, 2612])).
% 19.01/12.59 tff(2616,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB18) | (~nextState(constB18, constB19)) | (~v66(constB19)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2617,plain,
% 19.01/12.59 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB18, constB19)) | v26(constB18) | (~v66(constB19))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2616, 2615])).
% 19.01/12.59 tff(2618,plain,
% 19.01/12.59 (v26(constB18) | (~v66(constB19))),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2617, 2611, 2494])).
% 19.01/12.59 tff(2619,plain,
% 19.01/12.59 (~v66(constB19)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2618, 2601])).
% 19.01/12.59 tff(2620,assumption,(v18(constB20)), introduced(assumption)).
% 19.01/12.59 tff(2621,plain,
% 19.01/12.59 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 19.01/12.59 inference(bind,[status(th)],[])).
% 19.01/12.59 tff(2622,plain,
% 19.01/12.59 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 19.01/12.59 inference(quant_intro,[status(thm)],[2621])).
% 19.01/12.59 tff(2623,plain,
% 19.01/12.59 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2624,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 19.01/12.59 tff(2625,plain,
% 19.01/12.59 (![VarCurr: $i] : (~v18(VarCurr))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2624, 2623])).
% 19.01/12.59 tff(2626,plain,(
% 19.01/12.59 ![VarCurr: $i] : (~v18(VarCurr))),
% 19.01/12.59 inference(skolemize,[status(sab)],[2625])).
% 19.01/12.59 tff(2627,plain,
% 19.01/12.59 (![VarCurr: $i] : (~v18(VarCurr))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2626, 2622])).
% 19.01/12.59 tff(2628,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB20))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2629,plain,
% 19.01/12.59 ($false),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2628, 2627, 2620])).
% 19.01/12.59 tff(2630,plain,(~v18(constB20)), inference(lemma,lemma(discharge,[]))).
% 19.01/12.59 tff(2631,plain,
% 19.01/12.59 (v1(constB20) <=> v1(constB20)),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2632,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 19.01/12.59 tff(2633,plain,
% 19.01/12.59 (v1(constB20)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2632, 2631])).
% 19.01/12.59 tff(2634,plain,
% 19.01/12.59 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 19.01/12.59 inference(bind,[status(th)],[])).
% 19.01/12.59 tff(2635,plain,
% 19.01/12.59 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 19.01/12.59 inference(quant_intro,[status(thm)],[2634])).
% 19.01/12.59 tff(2636,plain,
% 19.01/12.59 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2637,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 19.01/12.59 tff(2638,plain,
% 19.01/12.59 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 19.01/12.59 tff(2639,plain,(
% 19.01/12.59 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 19.01/12.59 inference(skolemize,[status(sab)],[2638])).
% 19.01/12.59 tff(2640,plain,
% 19.01/12.59 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2639, 2635])).
% 19.01/12.59 tff(2641,plain,
% 19.01/12.59 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20)))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2642,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2643,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 19.01/12.59 tff(2644,plain,
% 19.01/12.59 (v22(constB20)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2643, 2640, 2633])).
% 19.01/12.59 tff(2645,plain,
% 19.01/12.59 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 19.01/12.59 inference(bind,[status(th)],[])).
% 19.01/12.59 tff(2646,plain,
% 19.01/12.59 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 19.01/12.59 inference(quant_intro,[status(thm)],[2645])).
% 19.01/12.59 tff(2647,plain,
% 19.01/12.59 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2648,plain,
% 19.01/12.59 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 19.01/12.59 inference(bind,[status(th)],[])).
% 19.01/12.59 tff(2649,plain,
% 19.01/12.59 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 19.01/12.59 inference(quant_intro,[status(thm)],[2648])).
% 19.01/12.59 tff(2650,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 19.01/12.59 tff(2651,plain,
% 19.01/12.59 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2650, 2649])).
% 19.01/12.59 tff(2652,plain,
% 19.01/12.59 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2651, 2647])).
% 19.01/12.59 tff(2653,plain,(
% 19.01/12.59 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 19.01/12.59 inference(skolemize,[status(sab)],[2652])).
% 19.01/12.59 tff(2654,plain,
% 19.01/12.59 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2653, 2646])).
% 19.01/12.59 tff(2655,plain,
% 19.01/12.59 (((~![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))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2656,plain,
% 19.01/12.59 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB20)) | (~v22(constB20)) | v18(constB20))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2657,plain,
% 19.01/12.59 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB20)) | (~v22(constB20)) | v18(constB20)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 19.01/12.59 tff(2658,plain,
% 19.01/12.59 ((~v19(constB20)) | v18(constB20)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2657, 2654, 2644])).
% 19.01/12.59 tff(2659,plain,
% 19.01/12.59 (~v19(constB20)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2658, 2630])).
% 19.01/12.59 tff(2660,plain,
% 19.01/12.59 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 19.01/12.59 inference(bind,[status(th)],[])).
% 19.01/12.59 tff(2661,plain,
% 19.01/12.59 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 19.01/12.59 inference(quant_intro,[status(thm)],[2660])).
% 19.01/12.59 tff(2662,plain,
% 19.01/12.59 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2663,plain,
% 19.01/12.59 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 19.01/12.59 inference(bind,[status(th)],[])).
% 19.01/12.59 tff(2664,plain,
% 19.01/12.59 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 19.01/12.59 inference(quant_intro,[status(thm)],[2663])).
% 19.01/12.59 tff(2665,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 19.01/12.59 tff(2666,plain,
% 19.01/12.59 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2665, 2664])).
% 19.01/12.59 tff(2667,plain,
% 19.01/12.59 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2666, 2662])).
% 19.01/12.59 tff(2668,plain,(
% 19.01/12.59 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 19.01/12.59 inference(skolemize,[status(sab)],[2667])).
% 19.01/12.59 tff(2669,plain,
% 19.01/12.59 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2668, 2661])).
% 19.01/12.59 tff(2670,plain,
% 19.01/12.59 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20))),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2671,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))),
% 19.01/12.59 inference(quant_inst,[status(thm)],[])).
% 19.01/12.59 tff(2672,plain,
% 19.01/12.59 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20)),
% 19.01/12.59 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 19.01/12.59 tff(2673,plain,
% 19.01/12.59 (v13(constB20)),
% 19.01/12.59 inference(unit_resolution,[status(thm)],[2672, 2669, 2659])).
% 19.01/12.59 tff(2674,plain,
% 19.01/12.59 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 19.01/12.59 inference(rewrite,[status(thm)],[])).
% 19.01/12.59 tff(2675,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 19.01/12.59 tff(2676,plain,
% 19.01/12.59 (nextState(constB19, constB20)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2675, 2674])).
% 19.01/12.60 tff(2677,plain,
% 19.01/12.60 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2678,plain,
% 19.01/12.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2677])).
% 19.01/12.60 tff(2679,plain,
% 19.01/12.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2680,plain,
% 19.01/12.60 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2681,plain,
% 19.01/12.60 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2680])).
% 19.01/12.60 tff(2682,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_2')).
% 19.01/12.60 tff(2683,plain,
% 19.01/12.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2682, 2681])).
% 19.01/12.60 tff(2684,plain,
% 19.01/12.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2683, 2679])).
% 19.01/12.60 tff(2685,plain,(
% 19.01/12.60 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2684])).
% 19.01/12.60 tff(2686,plain,
% 19.01/12.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2685, 2678])).
% 19.01/12.60 tff(2687,plain,
% 19.01/12.60 (((~![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))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2688,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2689,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB19, constB20)) | (~v13(constB20)) | v9(constB19)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 19.01/12.60 tff(2690,plain,
% 19.01/12.60 ((~v13(constB20)) | v9(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2689, 2686, 2676])).
% 19.01/12.60 tff(2691,plain,
% 19.01/12.60 (v9(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2690, 2673])).
% 19.01/12.60 tff(2692,plain,
% 19.01/12.60 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2693,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2692])).
% 19.01/12.60 tff(2694,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2695,plain,
% 19.01/12.60 (^[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))))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2696,plain,
% 19.01/12.60 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2695])).
% 19.01/12.60 tff(2697,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 19.01/12.60 tff(2698,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 19.01/12.60 tff(2699,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2698, 2694])).
% 19.01/12.60 tff(2700,plain,(
% 19.01/12.60 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2699])).
% 19.01/12.60 tff(2701,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2700, 2693])).
% 19.01/12.60 tff(2702,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | v64(constB19) | (~v9(constB19)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB19) | v64(constB19) | (~v9(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2703,plain,
% 19.01/12.60 ((v1(constB19) | (~v9(constB19)) | v64(constB19)) <=> (v1(constB19) | v64(constB19) | (~v9(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2704,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v64(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | v64(constB19) | (~v9(constB19))))),
% 19.01/12.60 inference(monotonicity,[status(thm)],[2703])).
% 19.01/12.60 tff(2705,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v64(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB19) | v64(constB19) | (~v9(constB19)))),
% 19.01/12.60 inference(transitivity,[status(thm)],[2704, 2702])).
% 19.01/12.60 tff(2706,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v64(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2707,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB19) | v64(constB19) | (~v9(constB19))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 19.01/12.60 tff(2708,plain,
% 19.01/12.60 (v64(constB19) | (~v9(constB19))),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2707, 2701, 2491])).
% 19.01/12.60 tff(2709,plain,
% 19.01/12.60 (v64(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2708, 2691])).
% 19.01/12.60 tff(2710,plain,
% 19.01/12.60 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2711,plain,
% 19.01/12.60 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2710])).
% 19.01/12.60 tff(2712,plain,
% 19.01/12.60 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2713,plain,
% 19.01/12.60 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2714,plain,
% 19.01/12.60 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2713])).
% 19.01/12.60 tff(2715,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 19.01/12.60 tff(2716,plain,
% 19.01/12.60 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 19.01/12.60 tff(2717,plain,
% 19.01/12.60 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2716, 2712])).
% 19.01/12.60 tff(2718,plain,(
% 19.01/12.60 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2717])).
% 19.01/12.60 tff(2719,plain,
% 19.01/12.60 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2718, 2711])).
% 19.01/12.60 tff(2720,plain,
% 19.01/12.60 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB19)) | v66(constB19) | (~v64(constB19)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB19)) | v66(constB19) | (~v64(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2721,plain,
% 19.01/12.60 (((~v64(constB19)) | (~v60(constB19)) | v66(constB19)) <=> ((~v60(constB19)) | v66(constB19) | (~v64(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2722,plain,
% 19.01/12.60 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB19)) | (~v60(constB19)) | v66(constB19))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB19)) | v66(constB19) | (~v64(constB19))))),
% 19.01/12.60 inference(monotonicity,[status(thm)],[2721])).
% 19.01/12.60 tff(2723,plain,
% 19.01/12.60 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB19)) | (~v60(constB19)) | v66(constB19))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB19)) | v66(constB19) | (~v64(constB19)))),
% 19.01/12.60 inference(transitivity,[status(thm)],[2722, 2720])).
% 19.01/12.60 tff(2724,plain,
% 19.01/12.60 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB19)) | (~v60(constB19)) | v66(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2725,plain,
% 19.01/12.60 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB19)) | v66(constB19) | (~v64(constB19))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 19.01/12.60 tff(2726,plain,
% 19.01/12.60 ((~v60(constB19)) | v66(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2725, 2719, 2709])).
% 19.01/12.60 tff(2727,plain,
% 19.01/12.60 (~v60(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2726, 2619])).
% 19.01/12.60 tff(2728,plain,
% 19.01/12.60 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2729,plain,
% 19.01/12.60 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2728])).
% 19.01/12.60 tff(2730,plain,
% 19.01/12.60 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2731,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 19.01/12.60 tff(2732,plain,
% 19.01/12.60 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2731, 2730])).
% 19.01/12.60 tff(2733,plain,(
% 19.01/12.60 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2732])).
% 19.01/12.60 tff(2734,plain,
% 19.01/12.60 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2733, 2729])).
% 19.01/12.60 tff(2735,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB19) | (~v9(constB19)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB19) | (~v9(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2736,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB19) | (~v9(constB19)))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2737,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB19) | (~v9(constB19))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 19.01/12.60 tff(2738,plain,
% 19.01/12.60 (v80(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2737, 2734, 2691])).
% 19.01/12.60 tff(2739,plain,
% 19.01/12.60 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2740,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2739])).
% 19.01/12.60 tff(2741,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2742,plain,
% 19.01/12.60 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2743,plain,
% 19.01/12.60 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2742])).
% 19.01/12.60 tff(2744,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 19.01/12.60 tff(2745,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 19.01/12.60 tff(2746,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2745, 2741])).
% 19.01/12.60 tff(2747,plain,(
% 19.01/12.60 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2746])).
% 19.01/12.60 tff(2748,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2747, 2740])).
% 19.01/12.60 tff(2749,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB19) | v78(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB19) | v78(constB19))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2750,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB19) | v78(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2751,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB19) | v78(constB19)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2750, 2749])).
% 19.01/12.60 tff(2752,plain,
% 19.01/12.60 (v78(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2751, 2748, 2491])).
% 19.01/12.60 tff(2753,plain,
% 19.01/12.60 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2754,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2753])).
% 19.01/12.60 tff(2755,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2756,plain,
% 19.01/12.60 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2757,plain,
% 19.01/12.60 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2756])).
% 19.01/12.60 tff(2758,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 19.01/12.60 tff(2759,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 19.01/12.60 tff(2760,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2759, 2755])).
% 19.01/12.60 tff(2761,plain,(
% 19.01/12.60 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2760])).
% 19.01/12.60 tff(2762,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2761, 2754])).
% 19.01/12.60 tff(2763,plain,
% 19.01/12.60 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB19)) | (~v80(constB19)) | v76(constB19))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB19)) | (~v80(constB19)) | v76(constB19))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2764,plain,
% 19.01/12.60 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB19)) | (~v80(constB19)) | v76(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2765,plain,
% 19.01/12.60 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB19)) | (~v80(constB19)) | v76(constB19)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 19.01/12.60 tff(2766,plain,
% 19.01/12.60 ((~v80(constB19)) | v76(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2765, 2762, 2752])).
% 19.01/12.60 tff(2767,plain,
% 19.01/12.60 (v76(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2766, 2738])).
% 19.01/12.60 tff(2768,assumption,(v71(constB19)), introduced(assumption)).
% 19.01/12.60 tff(2769,plain,
% 19.01/12.60 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2770,plain,
% 19.01/12.60 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2769])).
% 19.01/12.60 tff(2771,plain,
% 19.01/12.60 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2772,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 19.01/12.60 tff(2773,plain,
% 19.01/12.60 (![VarCurr: $i] : (~v71(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 19.01/12.60 tff(2774,plain,(
% 19.01/12.60 ![VarCurr: $i] : (~v71(VarCurr))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2773])).
% 19.01/12.60 tff(2775,plain,
% 19.01/12.60 (![VarCurr: $i] : (~v71(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2774, 2770])).
% 19.01/12.60 tff(2776,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2777,plain,
% 19.01/12.60 ($false),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2776, 2775, 2768])).
% 19.01/12.60 tff(2778,plain,(~v71(constB19)), inference(lemma,lemma(discharge,[]))).
% 19.01/12.60 tff(2779,plain,
% 19.01/12.60 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2780,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2779])).
% 19.01/12.60 tff(2781,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2782,plain,
% 19.01/12.60 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2783,plain,
% 19.01/12.60 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2782])).
% 19.01/12.60 tff(2784,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 19.01/12.60 tff(2785,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 19.01/12.60 tff(2786,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2785, 2781])).
% 19.01/12.60 tff(2787,plain,(
% 19.01/12.60 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2786])).
% 19.01/12.60 tff(2788,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2787, 2780])).
% 19.01/12.60 tff(2789,plain,
% 19.01/12.60 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB19)) | (~v76(constB19)) | v71(constB19))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB19)) | (~v76(constB19)) | v71(constB19))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2790,plain,
% 19.01/12.60 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB19)) | (~v76(constB19)) | v71(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2791,plain,
% 19.01/12.60 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB19)) | (~v76(constB19)) | v71(constB19)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 19.01/12.60 tff(2792,plain,
% 19.01/12.60 ((~v72(constB19)) | (~v76(constB19))),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2791, 2788, 2778])).
% 19.01/12.60 tff(2793,plain,
% 19.01/12.60 (~v72(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2792, 2767])).
% 19.01/12.60 tff(2794,plain,
% 19.01/12.60 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2795,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2794])).
% 19.01/12.60 tff(2796,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2797,plain,
% 19.01/12.60 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2798,plain,
% 19.01/12.60 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2797])).
% 19.01/12.60 tff(2799,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 19.01/12.60 tff(2800,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 19.01/12.60 tff(2801,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2800, 2796])).
% 19.01/12.60 tff(2802,plain,(
% 19.01/12.60 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2801])).
% 19.01/12.60 tff(2803,plain,
% 19.01/12.60 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2802, 2795])).
% 19.01/12.60 tff(2804,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB19) | v72(constB19) | v74(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB19) | v72(constB19) | v74(constB19))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2805,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB19) | v72(constB19) | v74(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2806,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB19) | v72(constB19) | v74(constB19)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2805, 2804])).
% 19.01/12.60 tff(2807,plain,
% 19.01/12.60 (v72(constB19) | v74(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2806, 2803, 2491])).
% 19.01/12.60 tff(2808,plain,
% 19.01/12.60 (v74(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2807, 2793])).
% 19.01/12.60 tff(2809,plain,
% 19.01/12.60 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2810,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2809])).
% 19.01/12.60 tff(2811,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2812,plain,
% 19.01/12.60 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 19.01/12.60 inference(bind,[status(th)],[])).
% 19.01/12.60 tff(2813,plain,
% 19.01/12.60 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 19.01/12.60 inference(quant_intro,[status(thm)],[2812])).
% 19.01/12.60 tff(2814,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_2')).
% 19.01/12.60 tff(2815,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 19.01/12.60 tff(2816,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2815, 2811])).
% 19.01/12.60 tff(2817,plain,(
% 19.01/12.60 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 19.01/12.60 inference(skolemize,[status(sab)],[2816])).
% 19.01/12.60 tff(2818,plain,
% 19.01/12.60 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2817, 2810])).
% 19.01/12.60 tff(2819,plain,
% 19.01/12.60 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB19) | (~v26(constB19)) | (~v74(constB19)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB19) | (~v26(constB19)) | (~v74(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2820,plain,
% 19.01/12.60 (((~v26(constB19)) | v60(constB19) | (~v74(constB19))) <=> (v60(constB19) | (~v26(constB19)) | (~v74(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2821,plain,
% 19.01/12.60 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB19)) | v60(constB19) | (~v74(constB19)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB19) | (~v26(constB19)) | (~v74(constB19))))),
% 19.01/12.60 inference(monotonicity,[status(thm)],[2820])).
% 19.01/12.60 tff(2822,plain,
% 19.01/12.60 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB19)) | v60(constB19) | (~v74(constB19)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB19) | (~v26(constB19)) | (~v74(constB19)))),
% 19.01/12.60 inference(transitivity,[status(thm)],[2821, 2819])).
% 19.01/12.60 tff(2823,plain,
% 19.01/12.60 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB19)) | v60(constB19) | (~v74(constB19)))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2824,plain,
% 19.01/12.60 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB19) | (~v26(constB19)) | (~v74(constB19))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 19.01/12.60 tff(2825,plain,
% 19.01/12.60 (v60(constB19) | (~v26(constB19))),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2824, 2818, 2808])).
% 19.01/12.60 tff(2826,plain,
% 19.01/12.60 (~v26(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2825, 2727])).
% 19.01/12.60 tff(2827,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | (~v107(constB19)) | v106(constB19))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2828,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2829,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | (~v107(constB19)) | v106(constB19)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 19.01/12.60 tff(2830,plain,
% 19.01/12.60 ((~v107(constB19)) | v106(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2829, 264, 2826])).
% 19.01/12.60 tff(2831,plain,
% 19.01/12.60 (v106(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2830, 2597])).
% 19.01/12.60 tff(2832,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB19) | (~v106(constB19)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB19) | (~v106(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2833,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB19) | (~v106(constB19)))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2834,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB19) | (~v106(constB19))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 19.01/12.60 tff(2835,plain,
% 19.01/12.60 (v102(constB19)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2834, 276, 2831])).
% 19.01/12.60 tff(2836,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2837,plain,
% 19.01/12.60 (((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20)) <=> ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2838,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19))))),
% 19.01/12.60 inference(monotonicity,[status(thm)],[2837])).
% 19.01/12.60 tff(2839,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 19.01/12.60 inference(transitivity,[status(thm)],[2838, 2836])).
% 19.01/12.60 tff(2840,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2841,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 19.01/12.60 tff(2842,plain,
% 19.01/12.60 (v104(constB20) | (~v102(constB19))),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2841, 293, 2676])).
% 19.01/12.60 tff(2843,plain,
% 19.01/12.60 (v104(constB20)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2842, 2835])).
% 19.01/12.60 tff(2844,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2845,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2846,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2845, 2844])).
% 19.01/12.60 tff(2847,plain,
% 19.01/12.60 (~v98(constB20)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2846, 311, 2676, 2491])).
% 19.01/12.60 tff(2848,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2849,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2850,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB19, constB20)) | v96(constB20) | v98(constB20)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2849, 2848])).
% 19.01/12.60 tff(2851,plain,
% 19.01/12.60 (v96(constB20) | v98(constB20)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2850, 325, 2676])).
% 19.01/12.60 tff(2852,plain,
% 19.01/12.60 (v96(constB20)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2851, 2847])).
% 19.01/12.60 tff(2853,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2854,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2855,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 19.01/12.60 tff(2856,plain,
% 19.01/12.60 (v95(constB20) | (~v96(constB20))),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2855, 343, 2676, 2633])).
% 19.01/12.60 tff(2857,plain,
% 19.01/12.60 (v95(constB20)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2856, 2852])).
% 19.01/12.60 tff(2858,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2859,plain,
% 19.01/12.60 (((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20)) <=> ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2860,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20))))),
% 19.01/12.60 inference(monotonicity,[status(thm)],[2859])).
% 19.01/12.60 tff(2861,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 19.01/12.60 inference(transitivity,[status(thm)],[2860, 2858])).
% 19.01/12.60 tff(2862,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2863,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2862, 2861])).
% 19.01/12.60 tff(2864,plain,
% 19.01/12.60 (v94(constB20) | (~v95(constB20)) | (~v104(constB20))),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2863, 358, 2676])).
% 19.01/12.60 tff(2865,plain,
% 19.01/12.60 (v94(constB20) | (~v104(constB20))),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2864, 2857])).
% 19.01/12.60 tff(2866,plain,
% 19.01/12.60 (v94(constB20)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2865, 2843])).
% 19.01/12.60 tff(2867,plain,
% 19.01/12.60 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB19)) | v124(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB19)) | v124(constB19, bitIndex2))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2868,plain,
% 19.01/12.60 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB19)) | v124(constB19, bitIndex2))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2869,plain,
% 19.01/12.60 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB19)) | v124(constB19, bitIndex2)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2868, 2867])).
% 19.01/12.60 tff(2870,plain,
% 19.01/12.60 (v124(constB19, bitIndex2)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2869, 1259, 2581])).
% 19.01/12.60 tff(2871,plain,
% 19.01/12.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2872,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2873,plain,
% 19.01/12.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2872, 2871])).
% 19.01/12.60 tff(2874,plain,
% 19.01/12.60 ((~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2873, 1273, 2826])).
% 19.01/12.60 tff(2875,plain,
% 19.01/12.60 (v121(constB19, bitIndex2)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2874, 2870])).
% 19.01/12.60 tff(2876,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2877,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2878,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2877, 2876])).
% 19.01/12.60 tff(2879,plain,
% 19.01/12.60 ((~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2878, 1288, 2676])).
% 19.01/12.60 tff(2880,plain,
% 19.01/12.60 (v123(constB20, bitIndex2)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2879, 2875])).
% 19.01/12.60 tff(2881,plain,
% 19.01/12.60 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2882,plain,
% 19.01/12.60 ((v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2))) <=> (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2883,plain,
% 19.01/12.60 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20))))),
% 19.01/12.60 inference(monotonicity,[status(thm)],[2882])).
% 19.01/12.60 tff(2884,plain,
% 19.01/12.60 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 19.01/12.60 inference(transitivity,[status(thm)],[2883, 2881])).
% 19.01/12.60 tff(2885,plain,
% 19.01/12.60 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))),
% 19.01/12.60 inference(quant_inst,[status(thm)],[])).
% 19.01/12.60 tff(2886,plain,
% 19.01/12.60 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20))),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 19.01/12.60 tff(2887,plain,
% 19.01/12.60 (v84(constB20, bitIndex2) | (~v94(constB20))),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2886, 1303, 2880])).
% 19.01/12.60 tff(2888,plain,
% 19.01/12.60 (v84(constB20, bitIndex2)),
% 19.01/12.60 inference(unit_resolution,[status(thm)],[2887, 2866])).
% 19.01/12.60 tff(2889,plain,
% 19.01/12.60 ((~v1(constB21)) <=> (~v1(constB21))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2890,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 19.01/12.60 tff(2891,plain,
% 19.01/12.60 (~v1(constB21)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 19.01/12.60 tff(2892,plain,
% 19.01/12.60 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2893,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 19.01/12.60 tff(2894,plain,
% 19.01/12.60 (nextState(constB20, constB21)),
% 19.01/12.60 inference(modus_ponens,[status(thm)],[2893, 2892])).
% 19.01/12.60 tff(2895,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2896,plain,
% 19.01/12.60 (((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 19.01/12.60 inference(rewrite,[status(thm)],[])).
% 19.01/12.60 tff(2897,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21))))),
% 19.01/12.60 inference(monotonicity,[status(thm)],[2896])).
% 19.01/12.60 tff(2898,plain,
% 19.01/12.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 19.01/12.60 inference(transitivity,[status(thm)],[2897, 2895])).
% 19.01/12.60 tff(2899,plain,
% 19.01/12.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2900,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2899, 2898])).
% 19.01/12.61 tff(2901,plain,
% 19.01/12.61 (~v95(constB21)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2900, 89, 2894, 2891])).
% 19.01/12.61 tff(2902,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2903,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2904,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 19.01/12.61 tff(2905,plain,
% 19.01/12.61 (v95(constB21) | (~v94(constB21))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2904, 106, 2894])).
% 19.01/12.61 tff(2906,plain,
% 19.01/12.61 (~v94(constB21)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2905, 2901])).
% 19.01/12.61 tff(2907,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2908,plain,
% 19.01/12.61 (((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2)) <=> ((~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2909,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2)))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[2908])).
% 19.01/12.61 tff(2910,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2))),
% 19.01/12.61 inference(transitivity,[status(thm)],[2909, 2907])).
% 19.01/12.61 tff(2911,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2912,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2)),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2911, 2910])).
% 19.01/12.61 tff(2913,plain,
% 19.01/12.61 ((~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2912, 1339, 2894])).
% 19.01/12.61 tff(2914,plain,
% 19.01/12.61 ((~v84(constB20, bitIndex2)) | v84(constB21, bitIndex2)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2913, 2906])).
% 19.01/12.61 tff(2915,plain,
% 19.01/12.61 (v84(constB21, bitIndex2)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2914, 2888])).
% 19.01/12.61 tff(2916,plain,
% 19.01/12.61 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB19)) | (~v124(constB19, bitIndex1)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2917,plain,
% 19.01/12.61 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex1)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2918,plain,
% 19.01/12.61 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB19)) | (~v124(constB19, bitIndex1))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 19.01/12.61 tff(2919,plain,
% 19.01/12.61 (~v124(constB19, bitIndex1)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2918, 1358, 2581])).
% 19.01/12.61 tff(2920,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2921,plain,
% 19.01/12.61 ((v26(constB19) | v124(constB19, bitIndex1) | (~v121(constB19, bitIndex1))) <=> ((~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2922,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB19) | v124(constB19, bitIndex1) | (~v121(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1)))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[2921])).
% 19.01/12.61 tff(2923,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB19) | v124(constB19, bitIndex1) | (~v121(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1))),
% 19.01/12.61 inference(transitivity,[status(thm)],[2922, 2920])).
% 19.01/12.61 tff(2924,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB19) | v124(constB19, bitIndex1) | (~v121(constB19, bitIndex1)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2925,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1)),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2924, 2923])).
% 19.01/12.61 tff(2926,plain,
% 19.01/12.61 ((~v121(constB19, bitIndex1)) | v124(constB19, bitIndex1)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2925, 483, 2826])).
% 19.01/12.61 tff(2927,plain,
% 19.01/12.61 (~v121(constB19, bitIndex1)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2926, 2919])).
% 19.01/12.61 tff(2928,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2929,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2930,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 19.01/12.61 tff(2931,plain,
% 19.01/12.61 (v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2930, 501, 2676])).
% 19.01/12.61 tff(2932,plain,
% 19.01/12.61 (~v123(constB20, bitIndex1)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2931, 2927])).
% 19.01/12.61 tff(2933,plain,
% 19.01/12.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2934,plain,
% 19.01/12.61 (((~v84(constB20, bitIndex1)) | (~v94(constB20)) | v123(constB20, bitIndex1)) <=> ((~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2935,plain,
% 19.01/12.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~v94(constB20)) | v123(constB20, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20))))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[2934])).
% 19.01/12.61 tff(2936,plain,
% 19.01/12.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~v94(constB20)) | v123(constB20, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20)))),
% 19.01/12.61 inference(transitivity,[status(thm)],[2935, 2933])).
% 19.01/12.61 tff(2937,plain,
% 19.01/12.61 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~v94(constB20)) | v123(constB20, bitIndex1))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2938,plain,
% 19.01/12.61 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 19.01/12.61 tff(2939,plain,
% 19.01/12.61 ((~v84(constB20, bitIndex1)) | (~v94(constB20))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2938, 516, 2932])).
% 19.01/12.61 tff(2940,plain,
% 19.01/12.61 (~v84(constB20, bitIndex1)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2939, 2866])).
% 19.01/12.61 tff(2941,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2942,plain,
% 19.01/12.61 (((~nextState(constB20, constB21)) | v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1))) <=> (v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2943,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1))))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[2942])).
% 19.01/12.61 tff(2944,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1)))),
% 19.01/12.61 inference(transitivity,[status(thm)],[2943, 2941])).
% 19.01/12.61 tff(2945,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2946,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 19.01/12.61 tff(2947,plain,
% 19.01/12.61 (v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2946, 142, 2894])).
% 19.01/12.61 tff(2948,plain,
% 19.01/12.61 (v84(constB20, bitIndex1) | (~v84(constB21, bitIndex1))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2947, 2906])).
% 19.01/12.61 tff(2949,plain,
% 19.01/12.61 (~v84(constB21, bitIndex1)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2948, 2940])).
% 19.01/12.61 tff(2950,plain,
% 19.01/12.61 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB19)) | (~v124(constB19, bitIndex0)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2951,plain,
% 19.01/12.61 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex0)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2952,plain,
% 19.01/12.61 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB19)) | (~v124(constB19, bitIndex0))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 19.01/12.61 tff(2953,plain,
% 19.01/12.61 (~v124(constB19, bitIndex0)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2952, 1402, 2581])).
% 19.01/12.61 tff(2954,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2955,plain,
% 19.01/12.61 ((v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0))) <=> ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2956,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0)))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[2955])).
% 19.01/12.61 tff(2957,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 19.01/12.61 inference(transitivity,[status(thm)],[2956, 2954])).
% 19.01/12.61 tff(2958,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2959,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0)),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2958, 2957])).
% 19.01/12.61 tff(2960,plain,
% 19.01/12.61 ((~v121(constB19, bitIndex0)) | v124(constB19, bitIndex0)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2959, 885, 2826])).
% 19.01/12.61 tff(2961,plain,
% 19.01/12.61 (~v121(constB19, bitIndex0)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2960, 2953])).
% 19.01/12.61 tff(2962,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2963,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2964,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2963, 2962])).
% 19.01/12.61 tff(2965,plain,
% 19.01/12.61 (v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2964, 903, 2676])).
% 19.01/12.61 tff(2966,plain,
% 19.01/12.61 (~v123(constB20, bitIndex0)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2965, 2961])).
% 19.01/12.61 tff(2967,plain,
% 19.01/12.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2968,plain,
% 19.01/12.61 (((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0)) <=> ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2969,plain,
% 19.01/12.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20))))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[2968])).
% 19.01/12.61 tff(2970,plain,
% 19.01/12.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 19.01/12.61 inference(transitivity,[status(thm)],[2969, 2967])).
% 19.01/12.61 tff(2971,plain,
% 19.01/12.61 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2972,plain,
% 19.01/12.61 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2971, 2970])).
% 19.01/12.61 tff(2973,plain,
% 19.01/12.61 ((~v84(constB20, bitIndex0)) | (~v94(constB20))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2972, 918, 2966])).
% 19.01/12.61 tff(2974,plain,
% 19.01/12.61 (~v84(constB20, bitIndex0)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2973, 2866])).
% 19.01/12.61 tff(2975,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2976,plain,
% 19.01/12.61 (((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0))) <=> (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2977,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0))))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[2976])).
% 19.01/12.61 tff(2978,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 19.01/12.61 inference(transitivity,[status(thm)],[2977, 2975])).
% 19.01/12.61 tff(2979,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2980,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2979, 2978])).
% 19.01/12.61 tff(2981,plain,
% 19.01/12.61 (v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2980, 163, 2894])).
% 19.01/12.61 tff(2982,plain,
% 19.01/12.61 (v84(constB20, bitIndex0) | (~v84(constB21, bitIndex0))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2981, 2906])).
% 19.01/12.61 tff(2983,plain,
% 19.01/12.61 (~v84(constB21, bitIndex0)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2982, 2974])).
% 19.01/12.61 tff(2984,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v172(constB21))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v172(constB21))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2985,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v172(constB21))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2986,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v172(constB21)),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2985, 2984])).
% 19.01/12.61 tff(2987,plain,
% 19.01/12.61 (v172(constB21)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2986, 1446, 2983, 2949, 2915])).
% 19.01/12.61 tff(2988,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB21) | (~v172(constB21)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB21) | (~v172(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2989,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB21) | (~v172(constB21)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2990,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB21) | (~v172(constB21))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2989, 2988])).
% 19.01/12.61 tff(2991,plain,
% 19.01/12.61 (v109(constB21)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2990, 1457, 2987])).
% 19.01/12.61 tff(2992,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB21) | (~v109(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB21) | (~v109(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2993,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB21) | (~v109(constB21)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2994,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB21) | (~v109(constB21))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2993, 2992])).
% 19.01/12.61 tff(2995,plain,
% 19.01/12.61 (v108(constB21)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2994, 239, 2991])).
% 19.01/12.61 tff(2996,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB21) | (~v108(constB21)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB21) | (~v108(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(2997,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB21) | (~v108(constB21)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(2998,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB21) | (~v108(constB21))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[2997, 2996])).
% 19.01/12.61 tff(2999,plain,
% 19.01/12.61 (v107(constB21)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[2998, 250, 2995])).
% 19.01/12.61 tff(3000,assumption,(v26(constB21)), introduced(assumption)).
% 19.01/12.61 tff(3001,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(3002,plain,
% 19.01/12.61 ($false),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[3001, 18, 3000])).
% 19.01/12.61 tff(3003,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 19.01/12.61 tff(3004,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | v106(constB21) | (~v107(constB21)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | v106(constB21) | (~v107(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(3005,plain,
% 19.01/12.61 ((v26(constB21) | (~v107(constB21)) | v106(constB21)) <=> (v26(constB21) | v106(constB21) | (~v107(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(3006,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | v106(constB21) | (~v107(constB21))))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[3005])).
% 19.01/12.61 tff(3007,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | v106(constB21) | (~v107(constB21)))),
% 19.01/12.61 inference(transitivity,[status(thm)],[3006, 3004])).
% 19.01/12.61 tff(3008,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(3009,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | v106(constB21) | (~v107(constB21))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[3008, 3007])).
% 19.01/12.61 tff(3010,plain,
% 19.01/12.61 (v106(constB21) | (~v107(constB21))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[3009, 264, 3003])).
% 19.01/12.61 tff(3011,plain,
% 19.01/12.61 (v106(constB21)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[3010, 2999])).
% 19.01/12.61 tff(3012,plain,
% 19.01/12.61 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB21) | (~v106(constB21)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB21) | (~v106(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(3013,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB21) | (~v106(constB21)))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(3014,plain,
% 19.01/12.61 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB21) | (~v106(constB21))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 19.01/12.61 tff(3015,plain,
% 19.01/12.61 (v102(constB21)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[3014, 276, 3011])).
% 19.01/12.61 tff(3016,plain,
% 19.01/12.61 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(3017,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 19.01/12.61 tff(3018,plain,
% 19.01/12.61 (nextState(constB21, constB22)),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[3017, 3016])).
% 19.01/12.61 tff(3019,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(3020,plain,
% 19.01/12.61 (((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22)) <=> ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 19.01/12.61 inference(rewrite,[status(thm)],[])).
% 19.01/12.61 tff(3021,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21))))),
% 19.01/12.61 inference(monotonicity,[status(thm)],[3020])).
% 19.01/12.61 tff(3022,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 19.01/12.61 inference(transitivity,[status(thm)],[3021, 3019])).
% 19.01/12.61 tff(3023,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))),
% 19.01/12.61 inference(quant_inst,[status(thm)],[])).
% 19.01/12.61 tff(3024,plain,
% 19.01/12.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21))),
% 19.01/12.61 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 19.01/12.61 tff(3025,plain,
% 19.01/12.61 (v104(constB22) | (~v102(constB21))),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[3024, 293, 3018])).
% 19.01/12.61 tff(3026,plain,
% 19.01/12.61 (v104(constB22)),
% 19.01/12.61 inference(unit_resolution,[status(thm)],[3025, 3015])).
% 19.01/12.61 tff(3027,plain,
% 19.01/12.61 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))),
% 19.01/12.62 inference(rewrite,[status(thm)],[])).
% 19.01/12.62 tff(3028,plain,
% 19.01/12.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))),
% 19.01/12.62 inference(quant_inst,[status(thm)],[])).
% 19.01/12.62 tff(3029,plain,
% 19.01/12.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22))),
% 19.01/12.62 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 19.01/12.62 tff(3030,plain,
% 19.01/12.62 (~v98(constB22)),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3029, 311, 3018, 2891])).
% 19.01/12.62 tff(3031,plain,
% 19.01/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))),
% 19.01/12.62 inference(rewrite,[status(thm)],[])).
% 19.01/12.62 tff(3032,plain,
% 19.01/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))),
% 19.01/12.62 inference(quant_inst,[status(thm)],[])).
% 19.01/12.62 tff(3033,plain,
% 19.01/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB21, constB22)) | v96(constB22) | v98(constB22)),
% 19.01/12.62 inference(modus_ponens,[status(thm)],[3032, 3031])).
% 19.01/12.62 tff(3034,plain,
% 19.01/12.62 (v96(constB22) | v98(constB22)),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3033, 325, 3018])).
% 19.01/12.62 tff(3035,plain,
% 19.01/12.62 (v96(constB22)),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3034, 3030])).
% 19.01/12.62 tff(3036,plain,
% 19.01/12.62 (v1(constB22) <=> v1(constB22)),
% 19.01/12.62 inference(rewrite,[status(thm)],[])).
% 19.01/12.62 tff(3037,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 19.01/12.62 tff(3038,plain,
% 19.01/12.62 (v1(constB22)),
% 19.01/12.62 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 19.01/12.62 tff(3039,plain,
% 19.01/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))),
% 19.01/12.62 inference(rewrite,[status(thm)],[])).
% 19.01/12.62 tff(3040,plain,
% 19.01/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))),
% 19.01/12.62 inference(quant_inst,[status(thm)],[])).
% 19.01/12.62 tff(3041,plain,
% 19.01/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22))),
% 19.01/12.62 inference(modus_ponens,[status(thm)],[3040, 3039])).
% 19.01/12.62 tff(3042,plain,
% 19.01/12.62 (v95(constB22) | (~v96(constB22))),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3041, 343, 3018, 3038])).
% 19.01/12.62 tff(3043,plain,
% 19.01/12.62 (v95(constB22)),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3042, 3035])).
% 19.01/12.62 tff(3044,plain,
% 19.01/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 19.01/12.62 inference(rewrite,[status(thm)],[])).
% 19.01/12.62 tff(3045,plain,
% 19.01/12.62 (((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22)) <=> ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 19.01/12.62 inference(rewrite,[status(thm)],[])).
% 19.01/12.62 tff(3046,plain,
% 19.01/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22))))),
% 19.01/12.62 inference(monotonicity,[status(thm)],[3045])).
% 19.01/12.62 tff(3047,plain,
% 19.01/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 19.01/12.62 inference(transitivity,[status(thm)],[3046, 3044])).
% 19.01/12.62 tff(3048,plain,
% 19.01/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))),
% 19.01/12.62 inference(quant_inst,[status(thm)],[])).
% 19.01/12.62 tff(3049,plain,
% 19.01/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22))),
% 19.01/12.62 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 19.01/12.62 tff(3050,plain,
% 19.01/12.62 (v94(constB22) | (~v95(constB22)) | (~v104(constB22))),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3049, 358, 3018])).
% 19.01/12.62 tff(3051,plain,
% 19.01/12.62 (v94(constB22) | (~v104(constB22))),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3050, 3043])).
% 19.01/12.62 tff(3052,plain,
% 19.01/12.62 (v94(constB22)),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3051, 3026])).
% 19.01/12.62 tff(3053,plain,
% 19.01/12.62 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB21)) | v124(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB21)) | v124(constB21, bitIndex2))),
% 19.01/12.62 inference(rewrite,[status(thm)],[])).
% 19.01/12.62 tff(3054,plain,
% 19.01/12.62 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB21)) | v124(constB21, bitIndex2))),
% 19.01/12.62 inference(quant_inst,[status(thm)],[])).
% 19.01/12.62 tff(3055,plain,
% 19.01/12.62 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB21)) | v124(constB21, bitIndex2)),
% 19.01/12.62 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 19.01/12.62 tff(3056,plain,
% 19.01/12.62 (v124(constB21, bitIndex2)),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3055, 1528, 2987])).
% 19.01/12.62 tff(3057,plain,
% 19.01/12.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))),
% 19.01/12.62 inference(rewrite,[status(thm)],[])).
% 19.01/12.62 tff(3058,plain,
% 19.01/12.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))),
% 19.01/12.62 inference(quant_inst,[status(thm)],[])).
% 19.01/12.62 tff(3059,plain,
% 19.01/12.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2)),
% 19.01/12.62 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 19.01/12.62 tff(3060,plain,
% 19.01/12.62 ((~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2)),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3059, 1273, 3003])).
% 19.01/12.62 tff(3061,plain,
% 19.01/12.62 (v121(constB21, bitIndex2)),
% 19.01/12.62 inference(unit_resolution,[status(thm)],[3060, 3056])).
% 19.01/12.62 tff(3062,plain,
% 19.01/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3063,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3064,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2)),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3063, 3062])).
% 19.04/12.62 tff(3065,plain,
% 19.04/12.62 ((~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3064, 1288, 3018])).
% 19.04/12.62 tff(3066,plain,
% 19.04/12.62 (v123(constB22, bitIndex2)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3065, 3061])).
% 19.04/12.62 tff(3067,plain,
% 19.04/12.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3068,plain,
% 19.04/12.62 ((v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2))) <=> (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3069,plain,
% 19.04/12.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22))))),
% 19.04/12.62 inference(monotonicity,[status(thm)],[3068])).
% 19.04/12.62 tff(3070,plain,
% 19.04/12.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 19.04/12.62 inference(transitivity,[status(thm)],[3069, 3067])).
% 19.04/12.62 tff(3071,plain,
% 19.04/12.62 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3072,plain,
% 19.04/12.62 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22))),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3071, 3070])).
% 19.04/12.62 tff(3073,plain,
% 19.04/12.62 (v84(constB22, bitIndex2) | (~v94(constB22))),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3072, 1303, 3066])).
% 19.04/12.62 tff(3074,plain,
% 19.04/12.62 (v84(constB22, bitIndex2)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3073, 3052])).
% 19.04/12.62 tff(3075,plain,
% 19.04/12.62 ((~v1(constB23)) <=> (~v1(constB23))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3076,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 19.04/12.62 tff(3077,plain,
% 19.04/12.62 (~v1(constB23)),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3076, 3075])).
% 19.04/12.62 tff(3078,plain,
% 19.04/12.62 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3079,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 19.04/12.62 tff(3080,plain,
% 19.04/12.62 (nextState(constB22, constB23)),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3079, 3078])).
% 19.04/12.62 tff(3081,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3082,plain,
% 19.04/12.62 (((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3083,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23))))),
% 19.04/12.62 inference(monotonicity,[status(thm)],[3082])).
% 19.04/12.62 tff(3084,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 19.04/12.62 inference(transitivity,[status(thm)],[3083, 3081])).
% 19.04/12.62 tff(3085,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3086,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23))),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 19.04/12.62 tff(3087,plain,
% 19.04/12.62 (~v95(constB23)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3086, 89, 3080, 3077])).
% 19.04/12.62 tff(3088,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3089,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3090,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23))),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 19.04/12.62 tff(3091,plain,
% 19.04/12.62 (v95(constB23) | (~v94(constB23))),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3090, 106, 3080])).
% 19.04/12.62 tff(3092,plain,
% 19.04/12.62 (~v94(constB23)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3091, 3087])).
% 19.04/12.62 tff(3093,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3094,plain,
% 19.04/12.62 (((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2)) <=> ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3095,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2)))),
% 19.04/12.62 inference(monotonicity,[status(thm)],[3094])).
% 19.04/12.62 tff(3096,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 19.04/12.62 inference(transitivity,[status(thm)],[3095, 3093])).
% 19.04/12.62 tff(3097,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3098,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2)),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 19.04/12.62 tff(3099,plain,
% 19.04/12.62 ((~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3098, 1339, 3080])).
% 19.04/12.62 tff(3100,plain,
% 19.04/12.62 ((~v84(constB22, bitIndex2)) | v84(constB23, bitIndex2)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3099, 3092])).
% 19.04/12.62 tff(3101,plain,
% 19.04/12.62 (v84(constB23, bitIndex2)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3100, 3074])).
% 19.04/12.62 tff(3102,plain,
% 19.04/12.62 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB21)) | (~v124(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB21)) | (~v124(constB21, bitIndex1)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3103,plain,
% 19.04/12.62 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB21)) | (~v124(constB21, bitIndex1)))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3104,plain,
% 19.04/12.62 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB21)) | (~v124(constB21, bitIndex1))),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 19.04/12.62 tff(3105,plain,
% 19.04/12.62 (~v124(constB21, bitIndex1)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3104, 1587, 2987])).
% 19.04/12.62 tff(3106,plain,
% 19.04/12.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3107,plain,
% 19.04/12.62 ((v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1))) <=> ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3108,plain,
% 19.04/12.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1)))),
% 19.04/12.62 inference(monotonicity,[status(thm)],[3107])).
% 19.04/12.62 tff(3109,plain,
% 19.04/12.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 19.04/12.62 inference(transitivity,[status(thm)],[3108, 3106])).
% 19.04/12.62 tff(3110,plain,
% 19.04/12.62 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3111,plain,
% 19.04/12.62 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1)),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3110, 3109])).
% 19.04/12.62 tff(3112,plain,
% 19.04/12.62 ((~v121(constB21, bitIndex1)) | v124(constB21, bitIndex1)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3111, 483, 3003])).
% 19.04/12.62 tff(3113,plain,
% 19.04/12.62 (~v121(constB21, bitIndex1)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3112, 3105])).
% 19.04/12.62 tff(3114,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3115,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3116,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1))),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 19.04/12.62 tff(3117,plain,
% 19.04/12.62 (v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1))),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3116, 501, 3018])).
% 19.04/12.62 tff(3118,plain,
% 19.04/12.62 (~v123(constB22, bitIndex1)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3117, 3113])).
% 19.04/12.62 tff(3119,plain,
% 19.04/12.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3120,plain,
% 19.04/12.62 (((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1)) <=> ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3121,plain,
% 19.04/12.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22))))),
% 19.04/12.62 inference(monotonicity,[status(thm)],[3120])).
% 19.04/12.62 tff(3122,plain,
% 19.04/12.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 19.04/12.62 inference(transitivity,[status(thm)],[3121, 3119])).
% 19.04/12.62 tff(3123,plain,
% 19.04/12.62 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3124,plain,
% 19.04/12.62 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22))),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3123, 3122])).
% 19.04/12.62 tff(3125,plain,
% 19.04/12.62 ((~v84(constB22, bitIndex1)) | (~v94(constB22))),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3124, 516, 3118])).
% 19.04/12.62 tff(3126,plain,
% 19.04/12.62 (~v84(constB22, bitIndex1)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3125, 3052])).
% 19.04/12.62 tff(3127,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3128,plain,
% 19.04/12.62 (((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1))) <=> (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3129,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1))))),
% 19.04/12.62 inference(monotonicity,[status(thm)],[3128])).
% 19.04/12.62 tff(3130,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 19.04/12.62 inference(transitivity,[status(thm)],[3129, 3127])).
% 19.04/12.62 tff(3131,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3132,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1))),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3131, 3130])).
% 19.04/12.62 tff(3133,plain,
% 19.04/12.62 (v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1))),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3132, 142, 3080])).
% 19.04/12.62 tff(3134,plain,
% 19.04/12.62 (v84(constB22, bitIndex1) | (~v84(constB23, bitIndex1))),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3133, 3092])).
% 19.04/12.62 tff(3135,plain,
% 19.04/12.62 (~v84(constB23, bitIndex1)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3134, 3126])).
% 19.04/12.62 tff(3136,plain,
% 19.04/12.62 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB21)) | v124(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB21)) | v124(constB21, bitIndex0))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3137,plain,
% 19.04/12.62 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB21)) | v124(constB21, bitIndex0))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3138,plain,
% 19.04/12.62 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB21)) | v124(constB21, bitIndex0)),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 19.04/12.62 tff(3139,plain,
% 19.04/12.62 (v124(constB21, bitIndex0)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3138, 1631, 2987])).
% 19.04/12.62 tff(3140,plain,
% 19.04/12.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3141,plain,
% 19.04/12.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3142,plain,
% 19.04/12.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0)),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 19.04/12.62 tff(3143,plain,
% 19.04/12.62 ((~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3142, 557, 3003])).
% 19.04/12.62 tff(3144,plain,
% 19.04/12.62 (v121(constB21, bitIndex0)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3143, 3139])).
% 19.04/12.62 tff(3145,plain,
% 19.04/12.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3146,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))),
% 19.04/12.62 inference(quant_inst,[status(thm)],[])).
% 19.04/12.62 tff(3147,plain,
% 19.04/12.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0)),
% 19.04/12.62 inference(modus_ponens,[status(thm)],[3146, 3145])).
% 19.04/12.62 tff(3148,plain,
% 19.04/12.62 ((~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3147, 572, 3018])).
% 19.04/12.62 tff(3149,plain,
% 19.04/12.62 (v123(constB22, bitIndex0)),
% 19.04/12.62 inference(unit_resolution,[status(thm)],[3148, 3144])).
% 19.04/12.62 tff(3150,plain,
% 19.04/12.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3151,plain,
% 19.04/12.62 ((v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0))) <=> (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 19.04/12.62 inference(rewrite,[status(thm)],[])).
% 19.04/12.62 tff(3152,plain,
% 19.04/12.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22))))),
% 19.04/12.62 inference(monotonicity,[status(thm)],[3151])).
% 19.04/12.62 tff(3153,plain,
% 19.04/12.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 19.04/12.63 inference(transitivity,[status(thm)],[3152, 3150])).
% 19.04/12.63 tff(3154,plain,
% 19.04/12.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3155,plain,
% 19.04/12.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 19.04/12.63 tff(3156,plain,
% 19.04/12.63 (v84(constB22, bitIndex0) | (~v94(constB22))),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3155, 587, 3149])).
% 19.04/12.63 tff(3157,plain,
% 19.04/12.63 (v84(constB22, bitIndex0)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3156, 3052])).
% 19.04/12.63 tff(3158,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3159,plain,
% 19.04/12.63 (((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0)) <=> ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3160,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0)))),
% 19.04/12.63 inference(monotonicity,[status(thm)],[3159])).
% 19.04/12.63 tff(3161,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 19.04/12.63 inference(transitivity,[status(thm)],[3160, 3158])).
% 19.04/12.63 tff(3162,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3163,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0)),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3162, 3161])).
% 19.04/12.63 tff(3164,plain,
% 19.04/12.63 ((~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3163, 605, 3080])).
% 19.04/12.63 tff(3165,plain,
% 19.04/12.63 ((~v84(constB22, bitIndex0)) | v84(constB23, bitIndex0)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3164, 3092])).
% 19.04/12.63 tff(3166,plain,
% 19.04/12.63 (v84(constB23, bitIndex0)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3165, 3157])).
% 19.04/12.63 tff(3167,plain,
% 19.04/12.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB23, bitIndex0)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v118(constB23))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB23, bitIndex0)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v118(constB23))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3168,plain,
% 19.04/12.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB23, bitIndex0)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v118(constB23))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3169,plain,
% 19.04/12.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB23, bitIndex0)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v118(constB23)),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 19.04/12.63 tff(3170,plain,
% 19.04/12.63 (v118(constB23)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3169, 1672, 3166, 3135, 3101])).
% 19.04/12.63 tff(3171,plain,
% 19.04/12.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB23) | (~v118(constB23)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3172,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB23) | (~v118(constB23)))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3173,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB23) | (~v118(constB23))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 19.04/12.63 tff(3174,plain,
% 19.04/12.63 (v108(constB23)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3173, 1683, 3170])).
% 19.04/12.63 tff(3175,plain,
% 19.04/12.63 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB23) | (~v108(constB23)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB23) | (~v108(constB23)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3176,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB23) | (~v108(constB23)))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3177,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB23) | (~v108(constB23))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3176, 3175])).
% 19.04/12.63 tff(3178,plain,
% 19.04/12.63 (v107(constB23)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3177, 250, 3174])).
% 19.04/12.63 tff(3179,assumption,(v26(constB23)), introduced(assumption)).
% 19.04/12.63 tff(3180,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3181,plain,
% 19.04/12.63 ($false),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3180, 18, 3179])).
% 19.04/12.63 tff(3182,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 19.04/12.63 tff(3183,plain,
% 19.04/12.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | v106(constB23) | (~v107(constB23)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3184,plain,
% 19.04/12.63 ((v26(constB23) | (~v107(constB23)) | v106(constB23)) <=> (v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3185,plain,
% 19.04/12.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | v106(constB23) | (~v107(constB23))))),
% 19.04/12.63 inference(monotonicity,[status(thm)],[3184])).
% 19.04/12.63 tff(3186,plain,
% 19.04/12.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 19.04/12.63 inference(transitivity,[status(thm)],[3185, 3183])).
% 19.04/12.63 tff(3187,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3188,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 19.04/12.63 tff(3189,plain,
% 19.04/12.63 (v106(constB23) | (~v107(constB23))),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3188, 264, 3182])).
% 19.04/12.63 tff(3190,plain,
% 19.04/12.63 (v106(constB23)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3189, 3178])).
% 19.04/12.63 tff(3191,plain,
% 19.04/12.63 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB23) | (~v106(constB23)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB23) | (~v106(constB23)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3192,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB23) | (~v106(constB23)))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3193,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB23) | (~v106(constB23))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 19.04/12.63 tff(3194,plain,
% 19.04/12.63 (v102(constB23)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3193, 276, 3190])).
% 19.04/12.63 tff(3195,plain,
% 19.04/12.63 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3196,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 19.04/12.63 tff(3197,plain,
% 19.04/12.63 (nextState(constB23, constB24)),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3196, 3195])).
% 19.04/12.63 tff(3198,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3199,plain,
% 19.04/12.63 (((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24)) <=> ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3200,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23))))),
% 19.04/12.63 inference(monotonicity,[status(thm)],[3199])).
% 19.04/12.63 tff(3201,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 19.04/12.63 inference(transitivity,[status(thm)],[3200, 3198])).
% 19.04/12.63 tff(3202,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3203,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3202, 3201])).
% 19.04/12.63 tff(3204,plain,
% 19.04/12.63 (v104(constB24) | (~v102(constB23))),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3203, 293, 3197])).
% 19.04/12.63 tff(3205,plain,
% 19.04/12.63 (v104(constB24)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3204, 3194])).
% 19.04/12.63 tff(3206,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3207,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3208,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3207, 3206])).
% 19.04/12.63 tff(3209,plain,
% 19.04/12.63 (~v98(constB24)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3208, 311, 3197, 3077])).
% 19.04/12.63 tff(3210,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3211,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3212,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB23, constB24)) | v96(constB24) | v98(constB24)),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3211, 3210])).
% 19.04/12.63 tff(3213,plain,
% 19.04/12.63 (v96(constB24) | v98(constB24)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3212, 325, 3197])).
% 19.04/12.63 tff(3214,plain,
% 19.04/12.63 (v96(constB24)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3213, 3209])).
% 19.04/12.63 tff(3215,plain,
% 19.04/12.63 (v1(constB24) <=> v1(constB24)),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3216,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 19.04/12.63 tff(3217,plain,
% 19.04/12.63 (v1(constB24)),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 19.04/12.63 tff(3218,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3219,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3220,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 19.04/12.63 tff(3221,plain,
% 19.04/12.63 (v95(constB24) | (~v96(constB24))),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3220, 343, 3197, 3217])).
% 19.04/12.63 tff(3222,plain,
% 19.04/12.63 (v95(constB24)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3221, 3214])).
% 19.04/12.63 tff(3223,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3224,plain,
% 19.04/12.63 (((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24)) <=> ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3225,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24))))),
% 19.04/12.63 inference(monotonicity,[status(thm)],[3224])).
% 19.04/12.63 tff(3226,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 19.04/12.63 inference(transitivity,[status(thm)],[3225, 3223])).
% 19.04/12.63 tff(3227,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3228,plain,
% 19.04/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24))),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 19.04/12.63 tff(3229,plain,
% 19.04/12.63 (v94(constB24) | (~v95(constB24)) | (~v104(constB24))),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3228, 358, 3197])).
% 19.04/12.63 tff(3230,plain,
% 19.04/12.63 (v94(constB24) | (~v104(constB24))),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3229, 3222])).
% 19.04/12.63 tff(3231,plain,
% 19.04/12.63 (v94(constB24)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3230, 3205])).
% 19.04/12.63 tff(3232,plain,
% 19.04/12.63 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB23)) | v124(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB23)) | v124(constB23, bitIndex2))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3233,plain,
% 19.04/12.63 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB23)) | v124(constB23, bitIndex2))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3234,plain,
% 19.04/12.63 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB23)) | v124(constB23, bitIndex2)),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3233, 3232])).
% 19.04/12.63 tff(3235,plain,
% 19.04/12.63 (v124(constB23, bitIndex2)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3234, 1750, 3170])).
% 19.04/12.63 tff(3236,plain,
% 19.04/12.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))),
% 19.04/12.63 inference(rewrite,[status(thm)],[])).
% 19.04/12.63 tff(3237,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))),
% 19.04/12.63 inference(quant_inst,[status(thm)],[])).
% 19.04/12.63 tff(3238,plain,
% 19.04/12.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2)),
% 19.04/12.63 inference(modus_ponens,[status(thm)],[3237, 3236])).
% 19.04/12.63 tff(3239,plain,
% 19.04/12.63 ((~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3238, 1273, 3182])).
% 19.04/12.63 tff(3240,plain,
% 19.04/12.63 (v121(constB23, bitIndex2)),
% 19.04/12.63 inference(unit_resolution,[status(thm)],[3239, 3235])).
% 19.04/12.63 tff(3241,plain,
% 19.04/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3242,plain,
% 19.06/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))),
% 19.06/12.63 inference(quant_inst,[status(thm)],[])).
% 19.06/12.63 tff(3243,plain,
% 19.06/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2)),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3242, 3241])).
% 19.06/12.63 tff(3244,plain,
% 19.06/12.63 ((~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3243, 1288, 3197])).
% 19.06/12.63 tff(3245,plain,
% 19.06/12.63 (v123(constB24, bitIndex2)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3244, 3240])).
% 19.06/12.63 tff(3246,plain,
% 19.06/12.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3247,plain,
% 19.06/12.63 ((v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2))) <=> (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3248,plain,
% 19.06/12.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24))))),
% 19.06/12.63 inference(monotonicity,[status(thm)],[3247])).
% 19.06/12.63 tff(3249,plain,
% 19.06/12.63 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 19.06/12.63 inference(transitivity,[status(thm)],[3248, 3246])).
% 19.06/12.63 tff(3250,plain,
% 19.06/12.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))),
% 19.06/12.63 inference(quant_inst,[status(thm)],[])).
% 19.06/12.63 tff(3251,plain,
% 19.06/12.63 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24))),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 19.06/12.63 tff(3252,plain,
% 19.06/12.63 (v84(constB24, bitIndex2) | (~v94(constB24))),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3251, 1303, 3245])).
% 19.06/12.63 tff(3253,plain,
% 19.06/12.63 (v84(constB24, bitIndex2)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3252, 3231])).
% 19.06/12.63 tff(3254,plain,
% 19.06/12.63 ((~v1(constB25)) <=> (~v1(constB25))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3255,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 19.06/12.63 tff(3256,plain,
% 19.06/12.63 (~v1(constB25)),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 19.06/12.63 tff(3257,plain,
% 19.06/12.63 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3258,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 19.06/12.63 tff(3259,plain,
% 19.06/12.63 (nextState(constB24, constB25)),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 19.06/12.63 tff(3260,plain,
% 19.06/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3261,plain,
% 19.06/12.63 (((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3262,plain,
% 19.06/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25))))),
% 19.06/12.63 inference(monotonicity,[status(thm)],[3261])).
% 19.06/12.63 tff(3263,plain,
% 19.06/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 19.06/12.63 inference(transitivity,[status(thm)],[3262, 3260])).
% 19.06/12.63 tff(3264,plain,
% 19.06/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))),
% 19.06/12.63 inference(quant_inst,[status(thm)],[])).
% 19.06/12.63 tff(3265,plain,
% 19.06/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25))),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 19.06/12.63 tff(3266,plain,
% 19.06/12.63 (~v95(constB25)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3265, 89, 3259, 3256])).
% 19.06/12.63 tff(3267,plain,
% 19.06/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3268,plain,
% 19.06/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))),
% 19.06/12.63 inference(quant_inst,[status(thm)],[])).
% 19.06/12.63 tff(3269,plain,
% 19.06/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25))),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 19.06/12.63 tff(3270,plain,
% 19.06/12.63 (v95(constB25) | (~v94(constB25))),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3269, 106, 3259])).
% 19.06/12.63 tff(3271,plain,
% 19.06/12.63 (~v94(constB25)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3270, 3266])).
% 19.06/12.63 tff(3272,plain,
% 19.06/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3273,plain,
% 19.06/12.63 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2)) <=> ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3274,plain,
% 19.06/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2)))),
% 19.06/12.63 inference(monotonicity,[status(thm)],[3273])).
% 19.06/12.63 tff(3275,plain,
% 19.06/12.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 19.06/12.63 inference(transitivity,[status(thm)],[3274, 3272])).
% 19.06/12.63 tff(3276,plain,
% 19.06/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))),
% 19.06/12.63 inference(quant_inst,[status(thm)],[])).
% 19.06/12.63 tff(3277,plain,
% 19.06/12.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2)),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3276, 3275])).
% 19.06/12.63 tff(3278,plain,
% 19.06/12.63 ((~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3277, 1339, 3259])).
% 19.06/12.63 tff(3279,plain,
% 19.06/12.63 ((~v84(constB24, bitIndex2)) | v84(constB25, bitIndex2)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3278, 3271])).
% 19.06/12.63 tff(3280,plain,
% 19.06/12.63 (v84(constB25, bitIndex2)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3279, 3253])).
% 19.06/12.63 tff(3281,plain,
% 19.06/12.63 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB23)) | v124(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB23)) | v124(constB23, bitIndex1))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3282,plain,
% 19.06/12.63 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB23)) | v124(constB23, bitIndex1))),
% 19.06/12.63 inference(quant_inst,[status(thm)],[])).
% 19.06/12.63 tff(3283,plain,
% 19.06/12.63 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB23)) | v124(constB23, bitIndex1)),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 19.06/12.63 tff(3284,plain,
% 19.06/12.63 (v124(constB23, bitIndex1)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3283, 1809, 3170])).
% 19.06/12.63 tff(3285,plain,
% 19.06/12.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))),
% 19.06/12.63 inference(rewrite,[status(thm)],[])).
% 19.06/12.63 tff(3286,plain,
% 19.06/12.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))),
% 19.06/12.63 inference(quant_inst,[status(thm)],[])).
% 19.06/12.63 tff(3287,plain,
% 19.06/12.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1)),
% 19.06/12.63 inference(modus_ponens,[status(thm)],[3286, 3285])).
% 19.06/12.63 tff(3288,plain,
% 19.06/12.63 ((~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3287, 804, 3182])).
% 19.06/12.63 tff(3289,plain,
% 19.06/12.63 (v121(constB23, bitIndex1)),
% 19.06/12.63 inference(unit_resolution,[status(thm)],[3288, 3284])).
% 19.06/12.64 tff(3290,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3291,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3292,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1)),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3291, 3290])).
% 19.06/12.64 tff(3293,plain,
% 19.06/12.64 ((~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3292, 819, 3197])).
% 19.06/12.64 tff(3294,plain,
% 19.06/12.64 (v123(constB24, bitIndex1)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3293, 3289])).
% 19.06/12.64 tff(3295,plain,
% 19.06/12.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3296,plain,
% 19.06/12.64 ((v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1))) <=> (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3297,plain,
% 19.06/12.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24))))),
% 19.06/12.64 inference(monotonicity,[status(thm)],[3296])).
% 19.06/12.64 tff(3298,plain,
% 19.06/12.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 19.06/12.64 inference(transitivity,[status(thm)],[3297, 3295])).
% 19.06/12.64 tff(3299,plain,
% 19.06/12.64 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3300,plain,
% 19.06/12.64 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 19.06/12.64 tff(3301,plain,
% 19.06/12.64 (v84(constB24, bitIndex1) | (~v94(constB24))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3300, 834, 3294])).
% 19.06/12.64 tff(3302,plain,
% 19.06/12.64 (v84(constB24, bitIndex1)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3301, 3231])).
% 19.06/12.64 tff(3303,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3304,plain,
% 19.06/12.64 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1)) <=> ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3305,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1)))),
% 19.06/12.64 inference(monotonicity,[status(thm)],[3304])).
% 19.06/12.64 tff(3306,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 19.06/12.64 inference(transitivity,[status(thm)],[3305, 3303])).
% 19.06/12.64 tff(3307,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3308,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1)),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3307, 3306])).
% 19.06/12.64 tff(3309,plain,
% 19.06/12.64 ((~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3308, 852, 3259])).
% 19.06/12.64 tff(3310,plain,
% 19.06/12.64 ((~v84(constB24, bitIndex1)) | v84(constB25, bitIndex1)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3309, 3271])).
% 19.06/12.64 tff(3311,plain,
% 19.06/12.64 (v84(constB25, bitIndex1)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3310, 3302])).
% 19.06/12.64 tff(3312,plain,
% 19.06/12.64 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB23)) | (~v124(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB23)) | (~v124(constB23, bitIndex0)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3313,plain,
% 19.06/12.64 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB23)) | (~v124(constB23, bitIndex0)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3314,plain,
% 19.06/12.64 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB23)) | (~v124(constB23, bitIndex0))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3313, 3312])).
% 19.06/12.64 tff(3315,plain,
% 19.06/12.64 (~v124(constB23, bitIndex0)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3314, 1850, 3170])).
% 19.06/12.64 tff(3316,plain,
% 19.06/12.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3317,plain,
% 19.06/12.64 ((v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0))) <=> ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3318,plain,
% 19.06/12.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0)))),
% 19.06/12.64 inference(monotonicity,[status(thm)],[3317])).
% 19.06/12.64 tff(3319,plain,
% 19.06/12.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 19.06/12.64 inference(transitivity,[status(thm)],[3318, 3316])).
% 19.06/12.64 tff(3320,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3321,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0)),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 19.06/12.64 tff(3322,plain,
% 19.06/12.64 ((~v121(constB23, bitIndex0)) | v124(constB23, bitIndex0)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3321, 885, 3182])).
% 19.06/12.64 tff(3323,plain,
% 19.06/12.64 (~v121(constB23, bitIndex0)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3322, 3315])).
% 19.06/12.64 tff(3324,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3325,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3326,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 19.06/12.64 tff(3327,plain,
% 19.06/12.64 (v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3326, 903, 3197])).
% 19.06/12.64 tff(3328,plain,
% 19.06/12.64 (~v123(constB24, bitIndex0)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3327, 3323])).
% 19.06/12.64 tff(3329,plain,
% 19.06/12.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3330,plain,
% 19.06/12.64 (((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0)) <=> ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3331,plain,
% 19.06/12.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24))))),
% 19.06/12.64 inference(monotonicity,[status(thm)],[3330])).
% 19.06/12.64 tff(3332,plain,
% 19.06/12.64 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 19.06/12.64 inference(transitivity,[status(thm)],[3331, 3329])).
% 19.06/12.64 tff(3333,plain,
% 19.06/12.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3334,plain,
% 19.06/12.64 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3333, 3332])).
% 19.06/12.64 tff(3335,plain,
% 19.06/12.64 ((~v84(constB24, bitIndex0)) | (~v94(constB24))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3334, 918, 3328])).
% 19.06/12.64 tff(3336,plain,
% 19.06/12.64 (~v84(constB24, bitIndex0)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3335, 3231])).
% 19.06/12.64 tff(3337,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3338,plain,
% 19.06/12.64 (((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0))) <=> (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3339,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0))))),
% 19.06/12.64 inference(monotonicity,[status(thm)],[3338])).
% 19.06/12.64 tff(3340,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 19.06/12.64 inference(transitivity,[status(thm)],[3339, 3337])).
% 19.06/12.64 tff(3341,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3342,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 19.06/12.64 tff(3343,plain,
% 19.06/12.64 (v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3342, 163, 3259])).
% 19.06/12.64 tff(3344,plain,
% 19.06/12.64 (v84(constB24, bitIndex0) | (~v84(constB25, bitIndex0))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3343, 3271])).
% 19.06/12.64 tff(3345,plain,
% 19.06/12.64 (~v84(constB25, bitIndex0)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3344, 3336])).
% 19.06/12.64 tff(3346,plain,
% 19.06/12.64 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3347,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3348,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25)),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 19.06/12.64 tff(3349,plain,
% 19.06/12.64 (v119(constB25)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3348, 1894, 3345, 3311, 3280])).
% 19.06/12.64 tff(3350,plain,
% 19.06/12.64 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB25) | (~v119(constB25)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB25) | (~v119(constB25)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3351,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB25) | (~v119(constB25)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3352,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB25) | (~v119(constB25))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 19.06/12.64 tff(3353,plain,
% 19.06/12.64 (v107(constB25)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3352, 1905, 3349])).
% 19.06/12.64 tff(3354,assumption,(v26(constB25)), introduced(assumption)).
% 19.06/12.64 tff(3355,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3356,plain,
% 19.06/12.64 ($false),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3355, 18, 3354])).
% 19.06/12.64 tff(3357,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 19.06/12.64 tff(3358,plain,
% 19.06/12.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB25) | (~v107(constB25)) | v106(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB25) | (~v107(constB25)) | v106(constB25))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3359,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB25) | (~v107(constB25)) | v106(constB25))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3360,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB25) | (~v107(constB25)) | v106(constB25)),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3359, 3358])).
% 19.06/12.64 tff(3361,plain,
% 19.06/12.64 ((~v107(constB25)) | v106(constB25)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3360, 264, 3357])).
% 19.06/12.64 tff(3362,plain,
% 19.06/12.64 (v106(constB25)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3361, 3353])).
% 19.06/12.64 tff(3363,plain,
% 19.06/12.64 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB25) | (~v106(constB25)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB25) | (~v106(constB25)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3364,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB25) | (~v106(constB25)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3365,plain,
% 19.06/12.64 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB25) | (~v106(constB25))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 19.06/12.64 tff(3366,plain,
% 19.06/12.64 (v102(constB25)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3365, 276, 3362])).
% 19.06/12.64 tff(3367,plain,
% 19.06/12.64 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3368,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 19.06/12.64 tff(3369,plain,
% 19.06/12.64 (nextState(constB25, constB26)),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 19.06/12.64 tff(3370,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3371,plain,
% 19.06/12.64 (((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26)) <=> ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3372,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25))))),
% 19.06/12.64 inference(monotonicity,[status(thm)],[3371])).
% 19.06/12.64 tff(3373,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 19.06/12.64 inference(transitivity,[status(thm)],[3372, 3370])).
% 19.06/12.64 tff(3374,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3375,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3374, 3373])).
% 19.06/12.64 tff(3376,plain,
% 19.06/12.64 (v104(constB26) | (~v102(constB25))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3375, 293, 3369])).
% 19.06/12.64 tff(3377,plain,
% 19.06/12.64 (v104(constB26)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3376, 3366])).
% 19.06/12.64 tff(3378,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3379,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3380,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 19.06/12.64 tff(3381,plain,
% 19.06/12.64 (~v98(constB26)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3380, 311, 3369, 3256])).
% 19.06/12.64 tff(3382,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3383,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3384,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB25, constB26)) | v96(constB26) | v98(constB26)),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 19.06/12.64 tff(3385,plain,
% 19.06/12.64 (v96(constB26) | v98(constB26)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3384, 325, 3369])).
% 19.06/12.64 tff(3386,plain,
% 19.06/12.64 (v96(constB26)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3385, 3381])).
% 19.06/12.64 tff(3387,plain,
% 19.06/12.64 (v1(constB26) <=> v1(constB26)),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3388,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 19.06/12.64 tff(3389,plain,
% 19.06/12.64 (v1(constB26)),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 19.06/12.64 tff(3390,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3391,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3392,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3391, 3390])).
% 19.06/12.64 tff(3393,plain,
% 19.06/12.64 (v95(constB26) | (~v96(constB26))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3392, 343, 3369, 3389])).
% 19.06/12.64 tff(3394,plain,
% 19.06/12.64 (v95(constB26)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3393, 3386])).
% 19.06/12.64 tff(3395,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3396,plain,
% 19.06/12.64 (((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26)) <=> ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3397,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26))))),
% 19.06/12.64 inference(monotonicity,[status(thm)],[3396])).
% 19.06/12.64 tff(3398,plain,
% 19.06/12.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 19.06/12.64 inference(transitivity,[status(thm)],[3397, 3395])).
% 19.06/12.64 tff(3399,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3400,plain,
% 19.06/12.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 19.06/12.64 tff(3401,plain,
% 19.06/12.64 (v94(constB26) | (~v95(constB26)) | (~v104(constB26))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3400, 358, 3369])).
% 19.06/12.64 tff(3402,plain,
% 19.06/12.64 (v94(constB26) | (~v104(constB26))),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3401, 3394])).
% 19.06/12.64 tff(3403,plain,
% 19.06/12.64 (v94(constB26)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3402, 3377])).
% 19.06/12.64 tff(3404,plain,
% 19.06/12.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB25, bitIndex2)) | (~v115(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB25, bitIndex2)) | (~v115(constB25)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3405,plain,
% 19.06/12.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB25, bitIndex2)) | (~v115(constB25)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3406,plain,
% 19.06/12.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB25, bitIndex2)) | (~v115(constB25))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3405, 3404])).
% 19.06/12.64 tff(3407,plain,
% 19.06/12.64 (~v115(constB25)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3406, 1965, 3280])).
% 19.06/12.64 tff(3408,plain,
% 19.06/12.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB25, bitIndex2)) | (~v116(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB25, bitIndex2)) | (~v116(constB25)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3409,plain,
% 19.06/12.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB25, bitIndex2)) | (~v116(constB25)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3410,plain,
% 19.06/12.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB25, bitIndex2)) | (~v116(constB25))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3409, 3408])).
% 19.06/12.64 tff(3411,plain,
% 19.06/12.64 (~v116(constB25)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3410, 1976, 3280])).
% 19.06/12.64 tff(3412,plain,
% 19.06/12.64 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB25)) | (~v84(constB25, bitIndex1)))),
% 19.06/12.64 inference(rewrite,[status(thm)],[])).
% 19.06/12.64 tff(3413,plain,
% 19.06/12.64 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex1)))),
% 19.06/12.64 inference(quant_inst,[status(thm)],[])).
% 19.06/12.64 tff(3414,plain,
% 19.06/12.64 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB25)) | (~v84(constB25, bitIndex1))),
% 19.06/12.64 inference(modus_ponens,[status(thm)],[3413, 3412])).
% 19.06/12.64 tff(3415,plain,
% 19.06/12.64 (~v113(constB25)),
% 19.06/12.64 inference(unit_resolution,[status(thm)],[3414, 1990, 3311])).
% 19.06/12.64 tff(3416,plain,
% 19.06/12.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v118(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v118(constB25)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3417,plain,
% 19.06/12.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v118(constB25)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3418,plain,
% 19.06/12.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v118(constB25))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3417, 3416])).
% 19.06/12.65 tff(3419,plain,
% 19.06/12.65 (~v118(constB25)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3418, 2001, 3311])).
% 19.06/12.65 tff(3420,plain,
% 19.06/12.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v172(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v172(constB25)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3421,plain,
% 19.06/12.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v172(constB25)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3422,plain,
% 19.06/12.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v172(constB25))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 19.06/12.65 tff(3423,plain,
% 19.06/12.65 (~v172(constB25)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3422, 2023, 3311])).
% 19.06/12.65 tff(3424,plain,
% 19.06/12.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v145(constB25)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v145(constB25)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3425,plain,
% 19.06/12.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB25, bitIndex1)) | (~v145(constB25)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3426,plain,
% 19.06/12.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB25, bitIndex1)) | (~v145(constB25))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 19.06/12.65 tff(3427,plain,
% 19.06/12.65 (~v145(constB25)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3426, 2012, 3311])).
% 19.06/12.65 tff(3428,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3429,plain,
% 19.06/12.65 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2))) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3430,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2))))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3429])).
% 19.06/12.65 tff(3431,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3430, 3428])).
% 19.06/12.65 tff(3432,plain,
% 19.06/12.65 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3433,plain,
% 19.06/12.65 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 19.06/12.65 tff(3434,plain,
% 19.06/12.65 (~v124(constB25, bitIndex2)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3433, 2037, 3427, 3423, 3419, 3415, 3411, 3407])).
% 19.06/12.65 tff(3435,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3436,plain,
% 19.06/12.65 ((v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2))) <=> ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3437,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2)))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3436])).
% 19.06/12.65 tff(3438,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3437, 3435])).
% 19.06/12.65 tff(3439,plain,
% 19.06/12.65 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3440,plain,
% 19.06/12.65 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2)),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 19.06/12.65 tff(3441,plain,
% 19.06/12.65 ((~v121(constB25, bitIndex2)) | v124(constB25, bitIndex2)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3440, 391, 3357])).
% 19.06/12.65 tff(3442,plain,
% 19.06/12.65 (~v121(constB25, bitIndex2)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3441, 3434])).
% 19.06/12.65 tff(3443,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3444,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3445,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 19.06/12.65 tff(3446,plain,
% 19.06/12.65 (v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2))),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3445, 409, 3369])).
% 19.06/12.65 tff(3447,plain,
% 19.06/12.65 (~v123(constB26, bitIndex2)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3446, 3442])).
% 19.06/12.65 tff(3448,plain,
% 19.06/12.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3449,plain,
% 19.06/12.65 (((~v84(constB26, bitIndex2)) | (~v94(constB26)) | v123(constB26, bitIndex2)) <=> ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3450,plain,
% 19.06/12.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | (~v94(constB26)) | v123(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26))))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3449])).
% 19.06/12.65 tff(3451,plain,
% 19.06/12.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | (~v94(constB26)) | v123(constB26, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3450, 3448])).
% 19.06/12.65 tff(3452,plain,
% 19.06/12.65 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB26, bitIndex2)) | (~v94(constB26)) | v123(constB26, bitIndex2))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3453,plain,
% 19.06/12.65 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 19.06/12.65 tff(3454,plain,
% 19.06/12.65 ((~v84(constB26, bitIndex2)) | (~v94(constB26))),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3453, 424, 3447])).
% 19.06/12.65 tff(3455,plain,
% 19.06/12.65 (~v84(constB26, bitIndex2)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3454, 3403])).
% 19.06/12.65 tff(3456,plain,
% 19.06/12.65 ((~v1(constB27)) <=> (~v1(constB27))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3457,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 19.06/12.65 tff(3458,plain,
% 19.06/12.65 (~v1(constB27)),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 19.06/12.65 tff(3459,plain,
% 19.06/12.65 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3460,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 19.06/12.65 tff(3461,plain,
% 19.06/12.65 (nextState(constB26, constB27)),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3460, 3459])).
% 19.06/12.65 tff(3462,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3463,plain,
% 19.06/12.65 (((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3464,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27))))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3463])).
% 19.06/12.65 tff(3465,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3464, 3462])).
% 19.06/12.65 tff(3466,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3467,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 19.06/12.65 tff(3468,plain,
% 19.06/12.65 (~v95(constB27)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3467, 89, 3461, 3458])).
% 19.06/12.65 tff(3469,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3470,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3471,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3470, 3469])).
% 19.06/12.65 tff(3472,plain,
% 19.06/12.65 (v95(constB27) | (~v94(constB27))),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3471, 106, 3461])).
% 19.06/12.65 tff(3473,plain,
% 19.06/12.65 (~v94(constB27)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3472, 3468])).
% 19.06/12.65 tff(3474,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3475,plain,
% 19.06/12.65 (((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2))) <=> (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3476,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2))))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3475])).
% 19.06/12.65 tff(3477,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3476, 3474])).
% 19.06/12.65 tff(3478,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3479,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3478, 3477])).
% 19.06/12.65 tff(3480,plain,
% 19.06/12.65 (v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2))),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3479, 121, 3461])).
% 19.06/12.65 tff(3481,plain,
% 19.06/12.65 (v84(constB26, bitIndex2) | (~v84(constB27, bitIndex2))),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3480, 3473])).
% 19.06/12.65 tff(3482,plain,
% 19.06/12.65 (~v84(constB27, bitIndex2)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3481, 3455])).
% 19.06/12.65 tff(3483,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3484,plain,
% 19.06/12.65 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1))) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3485,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1))))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3484])).
% 19.06/12.65 tff(3486,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3485, 3483])).
% 19.06/12.65 tff(3487,plain,
% 19.06/12.65 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3488,plain,
% 19.06/12.65 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3487, 3486])).
% 19.06/12.65 tff(3489,plain,
% 19.06/12.65 (~v124(constB25, bitIndex1)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3488, 2102, 3427, 3423, 3419, 3415, 3411, 3407])).
% 19.06/12.65 tff(3490,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3491,plain,
% 19.06/12.65 ((v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1))) <=> ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3492,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1)))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3491])).
% 19.06/12.65 tff(3493,plain,
% 19.06/12.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3492, 3490])).
% 19.06/12.65 tff(3494,plain,
% 19.06/12.65 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3495,plain,
% 19.06/12.65 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1)),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 19.06/12.65 tff(3496,plain,
% 19.06/12.65 ((~v121(constB25, bitIndex1)) | v124(constB25, bitIndex1)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3495, 483, 3357])).
% 19.06/12.65 tff(3497,plain,
% 19.06/12.65 (~v121(constB25, bitIndex1)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3496, 3489])).
% 19.06/12.65 tff(3498,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3499,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3500,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3499, 3498])).
% 19.06/12.65 tff(3501,plain,
% 19.06/12.65 (v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1))),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3500, 501, 3369])).
% 19.06/12.65 tff(3502,plain,
% 19.06/12.65 (~v123(constB26, bitIndex1)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3501, 3497])).
% 19.06/12.65 tff(3503,plain,
% 19.06/12.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3504,plain,
% 19.06/12.65 (((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1)) <=> ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3505,plain,
% 19.06/12.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26))))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3504])).
% 19.06/12.65 tff(3506,plain,
% 19.06/12.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3505, 3503])).
% 19.06/12.65 tff(3507,plain,
% 19.06/12.65 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3508,plain,
% 19.06/12.65 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3507, 3506])).
% 19.06/12.65 tff(3509,plain,
% 19.06/12.65 ((~v84(constB26, bitIndex1)) | (~v94(constB26))),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3508, 516, 3502])).
% 19.06/12.65 tff(3510,plain,
% 19.06/12.65 (~v84(constB26, bitIndex1)),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3509, 3403])).
% 19.06/12.65 tff(3511,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3512,plain,
% 19.06/12.65 (((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1))) <=> (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 19.06/12.65 inference(rewrite,[status(thm)],[])).
% 19.06/12.65 tff(3513,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1))))),
% 19.06/12.65 inference(monotonicity,[status(thm)],[3512])).
% 19.06/12.65 tff(3514,plain,
% 19.06/12.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 19.06/12.65 inference(transitivity,[status(thm)],[3513, 3511])).
% 19.06/12.65 tff(3515,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 19.06/12.65 inference(quant_inst,[status(thm)],[])).
% 19.06/12.65 tff(3516,plain,
% 19.06/12.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1))),
% 19.06/12.65 inference(modus_ponens,[status(thm)],[3515, 3514])).
% 19.06/12.65 tff(3517,plain,
% 19.06/12.65 (v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1))),
% 19.06/12.65 inference(unit_resolution,[status(thm)],[3516, 142, 3461])).
% 19.06/12.66 tff(3518,plain,
% 19.06/12.66 (v84(constB26, bitIndex1) | (~v84(constB27, bitIndex1))),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3517, 3473])).
% 19.06/12.66 tff(3519,plain,
% 19.06/12.66 (~v84(constB27, bitIndex1)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3518, 3510])).
% 19.06/12.66 tff(3520,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3521,plain,
% 19.06/12.66 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0)) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3522,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)))),
% 19.06/12.66 inference(monotonicity,[status(thm)],[3521])).
% 19.06/12.66 tff(3523,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 19.06/12.66 inference(transitivity,[status(thm)],[3522, 3520])).
% 19.06/12.66 tff(3524,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3525,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 19.06/12.66 tff(3526,plain,
% 19.06/12.66 (v124(constB25, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3525, 2149, 3427, 3423, 3419, 3415, 3411, 3407])).
% 19.06/12.66 tff(3527,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3528,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3529,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 19.06/12.66 tff(3530,plain,
% 19.06/12.66 ((~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3529, 557, 3357])).
% 19.06/12.66 tff(3531,plain,
% 19.06/12.66 (v121(constB25, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3530, 3526])).
% 19.06/12.66 tff(3532,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3533,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3534,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 19.06/12.66 tff(3535,plain,
% 19.06/12.66 ((~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3534, 572, 3369])).
% 19.06/12.66 tff(3536,plain,
% 19.06/12.66 (v123(constB26, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3535, 3531])).
% 19.06/12.66 tff(3537,plain,
% 19.06/12.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3538,plain,
% 19.06/12.66 ((v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0))) <=> (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3539,plain,
% 19.06/12.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26))))),
% 19.06/12.66 inference(monotonicity,[status(thm)],[3538])).
% 19.06/12.66 tff(3540,plain,
% 19.06/12.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 19.06/12.66 inference(transitivity,[status(thm)],[3539, 3537])).
% 19.06/12.66 tff(3541,plain,
% 19.06/12.66 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3542,plain,
% 19.06/12.66 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 19.06/12.66 tff(3543,plain,
% 19.06/12.66 (v84(constB26, bitIndex0) | (~v94(constB26))),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3542, 587, 3536])).
% 19.06/12.66 tff(3544,plain,
% 19.06/12.66 (v84(constB26, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3543, 3403])).
% 19.06/12.66 tff(3545,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3546,plain,
% 19.06/12.66 (((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0)) <=> ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3547,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0)))),
% 19.06/12.66 inference(monotonicity,[status(thm)],[3546])).
% 19.06/12.66 tff(3548,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 19.06/12.66 inference(transitivity,[status(thm)],[3547, 3545])).
% 19.06/12.66 tff(3549,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3550,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 19.06/12.66 tff(3551,plain,
% 19.06/12.66 ((~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3550, 605, 3461])).
% 19.06/12.66 tff(3552,plain,
% 19.06/12.66 ((~v84(constB26, bitIndex0)) | v84(constB27, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3551, 3473])).
% 19.06/12.66 tff(3553,plain,
% 19.06/12.66 (v84(constB27, bitIndex0)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3552, 3544])).
% 19.06/12.66 tff(3554,plain,
% 19.06/12.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3555,plain,
% 19.06/12.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3556,plain,
% 19.06/12.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3555, 3554])).
% 19.06/12.66 tff(3557,plain,
% 19.06/12.66 (v145(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3556, 624, 3553, 3519, 3482])).
% 19.06/12.66 tff(3558,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB27) | (~v145(constB27)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB27) | (~v145(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3559,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB27) | (~v145(constB27)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3560,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB27) | (~v145(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3559, 3558])).
% 19.06/12.66 tff(3561,plain,
% 19.06/12.66 (v112(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3560, 681, 3557])).
% 19.06/12.66 tff(3562,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB27) | (~v112(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3563,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB27) | (~v112(constB27)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3564,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB27) | (~v112(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 19.06/12.66 tff(3565,plain,
% 19.06/12.66 (v111(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3564, 206, 3561])).
% 19.06/12.66 tff(3566,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB27) | (~v111(constB27)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB27) | (~v111(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3567,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB27) | (~v111(constB27)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3568,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB27) | (~v111(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 19.06/12.66 tff(3569,plain,
% 19.06/12.66 (v110(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3568, 217, 3565])).
% 19.06/12.66 tff(3570,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB27) | (~v110(constB27)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB27) | (~v110(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3571,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB27) | (~v110(constB27)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3572,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB27) | (~v110(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3571, 3570])).
% 19.06/12.66 tff(3573,plain,
% 19.06/12.66 (v109(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3572, 228, 3569])).
% 19.06/12.66 tff(3574,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB27) | (~v109(constB27)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB27) | (~v109(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3575,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB27) | (~v109(constB27)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3576,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB27) | (~v109(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3575, 3574])).
% 19.06/12.66 tff(3577,plain,
% 19.06/12.66 (v108(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3576, 239, 3573])).
% 19.06/12.66 tff(3578,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB27) | (~v108(constB27)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB27) | (~v108(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3579,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB27) | (~v108(constB27)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3580,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB27) | (~v108(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3579, 3578])).
% 19.06/12.66 tff(3581,plain,
% 19.06/12.66 (v107(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3580, 250, 3577])).
% 19.06/12.66 tff(3582,assumption,(v26(constB27)), introduced(assumption)).
% 19.06/12.66 tff(3583,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3584,plain,
% 19.06/12.66 ($false),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3583, 18, 3582])).
% 19.06/12.66 tff(3585,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 19.06/12.66 tff(3586,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | v106(constB27) | (~v107(constB27)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | v106(constB27) | (~v107(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3587,plain,
% 19.06/12.66 ((v26(constB27) | (~v107(constB27)) | v106(constB27)) <=> (v26(constB27) | v106(constB27) | (~v107(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3588,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | v106(constB27) | (~v107(constB27))))),
% 19.06/12.66 inference(monotonicity,[status(thm)],[3587])).
% 19.06/12.66 tff(3589,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | v106(constB27) | (~v107(constB27)))),
% 19.06/12.66 inference(transitivity,[status(thm)],[3588, 3586])).
% 19.06/12.66 tff(3590,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3591,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | v106(constB27) | (~v107(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3590, 3589])).
% 19.06/12.66 tff(3592,plain,
% 19.06/12.66 (v106(constB27) | (~v107(constB27))),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3591, 264, 3585])).
% 19.06/12.66 tff(3593,plain,
% 19.06/12.66 (v106(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3592, 3581])).
% 19.06/12.66 tff(3594,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB27) | (~v106(constB27)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB27) | (~v106(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3595,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB27) | (~v106(constB27)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3596,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB27) | (~v106(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3595, 3594])).
% 19.06/12.66 tff(3597,plain,
% 19.06/12.66 (v102(constB27)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3596, 276, 3593])).
% 19.06/12.66 tff(3598,plain,
% 19.06/12.66 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3599,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 19.06/12.66 tff(3600,plain,
% 19.06/12.66 (nextState(constB27, constB28)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3599, 3598])).
% 19.06/12.66 tff(3601,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3602,plain,
% 19.06/12.66 (((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28)) <=> ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3603,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27))))),
% 19.06/12.66 inference(monotonicity,[status(thm)],[3602])).
% 19.06/12.66 tff(3604,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 19.06/12.66 inference(transitivity,[status(thm)],[3603, 3601])).
% 19.06/12.66 tff(3605,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3606,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3605, 3604])).
% 19.06/12.66 tff(3607,plain,
% 19.06/12.66 (v104(constB28) | (~v102(constB27))),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3606, 293, 3600])).
% 19.06/12.66 tff(3608,plain,
% 19.06/12.66 (v104(constB28)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3607, 3597])).
% 19.06/12.66 tff(3609,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3610,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3611,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 19.06/12.66 tff(3612,plain,
% 19.06/12.66 (~v98(constB28)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3611, 311, 3600, 3458])).
% 19.06/12.66 tff(3613,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3614,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3615,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB27, constB28)) | v96(constB28) | v98(constB28)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 19.06/12.66 tff(3616,plain,
% 19.06/12.66 (v96(constB28) | v98(constB28)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3615, 325, 3600])).
% 19.06/12.66 tff(3617,plain,
% 19.06/12.66 (v96(constB28)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3616, 3612])).
% 19.06/12.66 tff(3618,plain,
% 19.06/12.66 (v1(constB28) <=> v1(constB28)),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3619,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 19.06/12.66 tff(3620,plain,
% 19.06/12.66 (v1(constB28)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3619, 3618])).
% 19.06/12.66 tff(3621,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3622,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3623,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 19.06/12.66 tff(3624,plain,
% 19.06/12.66 (v95(constB28) | (~v96(constB28))),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3623, 343, 3600, 3620])).
% 19.06/12.66 tff(3625,plain,
% 19.06/12.66 (v95(constB28)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3624, 3617])).
% 19.06/12.66 tff(3626,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3627,plain,
% 19.06/12.66 (((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28)) <=> ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3628,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28))))),
% 19.06/12.66 inference(monotonicity,[status(thm)],[3627])).
% 19.06/12.66 tff(3629,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 19.06/12.66 inference(transitivity,[status(thm)],[3628, 3626])).
% 19.06/12.66 tff(3630,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3631,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 19.06/12.66 tff(3632,plain,
% 19.06/12.66 (v94(constB28) | (~v95(constB28)) | (~v104(constB28))),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3631, 358, 3600])).
% 19.06/12.66 tff(3633,plain,
% 19.06/12.66 (v94(constB28) | (~v104(constB28))),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3632, 3625])).
% 19.06/12.66 tff(3634,plain,
% 19.06/12.66 (v94(constB28)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3633, 3608])).
% 19.06/12.66 tff(3635,plain,
% 19.06/12.66 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB27)) | (~v124(constB27, bitIndex2)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3636,plain,
% 19.06/12.66 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex2)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3637,plain,
% 19.06/12.66 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB27)) | (~v124(constB27, bitIndex2))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3636, 3635])).
% 19.06/12.66 tff(3638,plain,
% 19.06/12.66 (~v124(constB27, bitIndex2)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3637, 638, 3557])).
% 19.06/12.66 tff(3639,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3640,plain,
% 19.06/12.66 ((v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2))) <=> ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3641,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2)))),
% 19.06/12.66 inference(monotonicity,[status(thm)],[3640])).
% 19.06/12.66 tff(3642,plain,
% 19.06/12.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 19.06/12.66 inference(transitivity,[status(thm)],[3641, 3639])).
% 19.06/12.66 tff(3643,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3644,plain,
% 19.06/12.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2)),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 19.06/12.66 tff(3645,plain,
% 19.06/12.66 ((~v121(constB27, bitIndex2)) | v124(constB27, bitIndex2)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3644, 391, 3585])).
% 19.06/12.66 tff(3646,plain,
% 19.06/12.66 (~v121(constB27, bitIndex2)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3645, 3638])).
% 19.06/12.66 tff(3647,plain,
% 19.06/12.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))),
% 19.06/12.66 inference(rewrite,[status(thm)],[])).
% 19.06/12.66 tff(3648,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))),
% 19.06/12.66 inference(quant_inst,[status(thm)],[])).
% 19.06/12.66 tff(3649,plain,
% 19.06/12.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2))),
% 19.06/12.66 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 19.06/12.66 tff(3650,plain,
% 19.06/12.66 (v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2))),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3649, 409, 3600])).
% 19.06/12.66 tff(3651,plain,
% 19.06/12.66 (~v123(constB28, bitIndex2)),
% 19.06/12.66 inference(unit_resolution,[status(thm)],[3650, 3646])).
% 19.06/12.66 tff(3652,plain,
% 19.06/12.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3653,plain,
% 19.06/12.67 (((~v84(constB28, bitIndex2)) | (~v94(constB28)) | v123(constB28, bitIndex2)) <=> ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3654,plain,
% 19.06/12.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | (~v94(constB28)) | v123(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28))))),
% 19.06/12.67 inference(monotonicity,[status(thm)],[3653])).
% 19.06/12.67 tff(3655,plain,
% 19.06/12.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | (~v94(constB28)) | v123(constB28, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 19.06/12.67 inference(transitivity,[status(thm)],[3654, 3652])).
% 19.06/12.67 tff(3656,plain,
% 19.06/12.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB28, bitIndex2)) | (~v94(constB28)) | v123(constB28, bitIndex2))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3657,plain,
% 19.06/12.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 19.06/12.67 tff(3658,plain,
% 19.06/12.67 ((~v84(constB28, bitIndex2)) | (~v94(constB28))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3657, 424, 3651])).
% 19.06/12.67 tff(3659,plain,
% 19.06/12.67 (~v84(constB28, bitIndex2)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3658, 3634])).
% 19.06/12.67 tff(3660,plain,
% 19.06/12.67 ((~v1(constB29)) <=> (~v1(constB29))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3661,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 19.06/12.67 tff(3662,plain,
% 19.06/12.67 (~v1(constB29)),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 19.06/12.67 tff(3663,plain,
% 19.06/12.67 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3664,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 19.06/12.67 tff(3665,plain,
% 19.06/12.67 (nextState(constB28, constB29)),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3664, 3663])).
% 19.06/12.67 tff(3666,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3667,plain,
% 19.06/12.67 (((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3668,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29))))),
% 19.06/12.67 inference(monotonicity,[status(thm)],[3667])).
% 19.06/12.67 tff(3669,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 19.06/12.67 inference(transitivity,[status(thm)],[3668, 3666])).
% 19.06/12.67 tff(3670,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3671,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 19.06/12.67 tff(3672,plain,
% 19.06/12.67 (~v95(constB29)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3671, 89, 3665, 3662])).
% 19.06/12.67 tff(3673,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3674,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3675,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 19.06/12.67 tff(3676,plain,
% 19.06/12.67 (v95(constB29) | (~v94(constB29))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3675, 106, 3665])).
% 19.06/12.67 tff(3677,plain,
% 19.06/12.67 (~v94(constB29)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3676, 3672])).
% 19.06/12.67 tff(3678,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3679,plain,
% 19.06/12.67 (((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2))) <=> (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3680,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2))))),
% 19.06/12.67 inference(monotonicity,[status(thm)],[3679])).
% 19.06/12.67 tff(3681,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 19.06/12.67 inference(transitivity,[status(thm)],[3680, 3678])).
% 19.06/12.67 tff(3682,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3683,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 19.06/12.67 tff(3684,plain,
% 19.06/12.67 (v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3683, 121, 3665])).
% 19.06/12.67 tff(3685,plain,
% 19.06/12.67 (v84(constB28, bitIndex2) | (~v84(constB29, bitIndex2))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3684, 3677])).
% 19.06/12.67 tff(3686,plain,
% 19.06/12.67 (~v84(constB29, bitIndex2)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3685, 3659])).
% 19.06/12.67 tff(3687,plain,
% 19.06/12.67 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB27)) | v124(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB27)) | v124(constB27, bitIndex1))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3688,plain,
% 19.06/12.67 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB27)) | v124(constB27, bitIndex1))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3689,plain,
% 19.06/12.67 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB27)) | v124(constB27, bitIndex1)),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3688, 3687])).
% 19.06/12.67 tff(3690,plain,
% 19.06/12.67 (v124(constB27, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3689, 790, 3557])).
% 19.06/12.67 tff(3691,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3692,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3693,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1)),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 19.06/12.67 tff(3694,plain,
% 19.06/12.67 ((~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3693, 804, 3585])).
% 19.06/12.67 tff(3695,plain,
% 19.06/12.67 (v121(constB27, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3694, 3690])).
% 19.06/12.67 tff(3696,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3697,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3698,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1)),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 19.06/12.67 tff(3699,plain,
% 19.06/12.67 ((~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3698, 819, 3600])).
% 19.06/12.67 tff(3700,plain,
% 19.06/12.67 (v123(constB28, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3699, 3695])).
% 19.06/12.67 tff(3701,plain,
% 19.06/12.67 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3702,plain,
% 19.06/12.67 ((v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1))) <=> (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3703,plain,
% 19.06/12.67 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28))))),
% 19.06/12.67 inference(monotonicity,[status(thm)],[3702])).
% 19.06/12.67 tff(3704,plain,
% 19.06/12.67 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 19.06/12.67 inference(transitivity,[status(thm)],[3703, 3701])).
% 19.06/12.67 tff(3705,plain,
% 19.06/12.67 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3706,plain,
% 19.06/12.67 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3705, 3704])).
% 19.06/12.67 tff(3707,plain,
% 19.06/12.67 (v84(constB28, bitIndex1) | (~v94(constB28))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3706, 834, 3700])).
% 19.06/12.67 tff(3708,plain,
% 19.06/12.67 (v84(constB28, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3707, 3634])).
% 19.06/12.67 tff(3709,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3710,plain,
% 19.06/12.67 (((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1)) <=> ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3711,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1)))),
% 19.06/12.67 inference(monotonicity,[status(thm)],[3710])).
% 19.06/12.67 tff(3712,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 19.06/12.67 inference(transitivity,[status(thm)],[3711, 3709])).
% 19.06/12.67 tff(3713,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3714,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1)),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 19.06/12.67 tff(3715,plain,
% 19.06/12.67 ((~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3714, 852, 3665])).
% 19.06/12.67 tff(3716,plain,
% 19.06/12.67 ((~v84(constB28, bitIndex1)) | v84(constB29, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3715, 3677])).
% 19.06/12.67 tff(3717,plain,
% 19.06/12.67 (v84(constB29, bitIndex1)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3716, 3708])).
% 19.06/12.67 tff(3718,plain,
% 19.06/12.67 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB27)) | (~v124(constB27, bitIndex0)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3719,plain,
% 19.06/12.67 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex0)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3720,plain,
% 19.06/12.67 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB27)) | (~v124(constB27, bitIndex0))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3719, 3718])).
% 19.06/12.67 tff(3721,plain,
% 19.06/12.67 (~v124(constB27, bitIndex0)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3720, 871, 3557])).
% 19.06/12.67 tff(3722,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3723,plain,
% 19.06/12.67 ((v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0))) <=> ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3724,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0)))),
% 19.06/12.67 inference(monotonicity,[status(thm)],[3723])).
% 19.06/12.67 tff(3725,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 19.06/12.67 inference(transitivity,[status(thm)],[3724, 3722])).
% 19.06/12.67 tff(3726,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3727,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0)),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3726, 3725])).
% 19.06/12.67 tff(3728,plain,
% 19.06/12.67 ((~v121(constB27, bitIndex0)) | v124(constB27, bitIndex0)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3727, 885, 3585])).
% 19.06/12.67 tff(3729,plain,
% 19.06/12.67 (~v121(constB27, bitIndex0)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3728, 3721])).
% 19.06/12.67 tff(3730,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3731,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3732,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3731, 3730])).
% 19.06/12.67 tff(3733,plain,
% 19.06/12.67 (v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3732, 903, 3600])).
% 19.06/12.67 tff(3734,plain,
% 19.06/12.67 (~v123(constB28, bitIndex0)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3733, 3729])).
% 19.06/12.67 tff(3735,plain,
% 19.06/12.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3736,plain,
% 19.06/12.67 (((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0)) <=> ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3737,plain,
% 19.06/12.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28))))),
% 19.06/12.67 inference(monotonicity,[status(thm)],[3736])).
% 19.06/12.67 tff(3738,plain,
% 19.06/12.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 19.06/12.67 inference(transitivity,[status(thm)],[3737, 3735])).
% 19.06/12.67 tff(3739,plain,
% 19.06/12.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3740,plain,
% 19.06/12.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3739, 3738])).
% 19.06/12.67 tff(3741,plain,
% 19.06/12.67 ((~v84(constB28, bitIndex0)) | (~v94(constB28))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3740, 918, 3734])).
% 19.06/12.67 tff(3742,plain,
% 19.06/12.67 (~v84(constB28, bitIndex0)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3741, 3634])).
% 19.06/12.67 tff(3743,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3744,plain,
% 19.06/12.67 (((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0))) <=> (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3745,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0))))),
% 19.06/12.67 inference(monotonicity,[status(thm)],[3744])).
% 19.06/12.67 tff(3746,plain,
% 19.06/12.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 19.06/12.67 inference(transitivity,[status(thm)],[3745, 3743])).
% 19.06/12.67 tff(3747,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3748,plain,
% 19.06/12.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3747, 3746])).
% 19.06/12.67 tff(3749,plain,
% 19.06/12.67 (v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3748, 163, 3665])).
% 19.06/12.67 tff(3750,plain,
% 19.06/12.67 (v84(constB28, bitIndex0) | (~v84(constB29, bitIndex0))),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3749, 3677])).
% 19.06/12.67 tff(3751,plain,
% 19.06/12.67 (~v84(constB29, bitIndex0)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3750, 3742])).
% 19.06/12.67 tff(3752,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3753,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3754,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29)),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3753, 3752])).
% 19.06/12.67 tff(3755,plain,
% 19.06/12.67 (v115(constB29)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3754, 945, 3751, 3717, 3686])).
% 19.06/12.67 tff(3756,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB29) | (~v115(constB29)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3757,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB29) | (~v115(constB29)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3758,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB29) | (~v115(constB29))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 19.06/12.67 tff(3759,plain,
% 19.06/12.67 (v111(constB29)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3758, 956, 3755])).
% 19.06/12.67 tff(3760,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB29) | (~v111(constB29)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB29) | (~v111(constB29)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3761,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB29) | (~v111(constB29)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3762,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB29) | (~v111(constB29))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3761, 3760])).
% 19.06/12.67 tff(3763,plain,
% 19.06/12.67 (v110(constB29)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3762, 217, 3759])).
% 19.06/12.67 tff(3764,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB29) | (~v110(constB29)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB29) | (~v110(constB29)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3765,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB29) | (~v110(constB29)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3766,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB29) | (~v110(constB29))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 19.06/12.67 tff(3767,plain,
% 19.06/12.67 (v109(constB29)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3766, 228, 3763])).
% 19.06/12.67 tff(3768,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB29) | (~v109(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB29) | (~v109(constB29)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3769,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB29) | (~v109(constB29)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3770,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB29) | (~v109(constB29))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 19.06/12.67 tff(3771,plain,
% 19.06/12.67 (v108(constB29)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3770, 239, 3767])).
% 19.06/12.67 tff(3772,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB29) | (~v108(constB29)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB29) | (~v108(constB29)))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3773,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB29) | (~v108(constB29)))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3774,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB29) | (~v108(constB29))),
% 19.06/12.67 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 19.06/12.67 tff(3775,plain,
% 19.06/12.67 (v107(constB29)),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3774, 250, 3771])).
% 19.06/12.67 tff(3776,assumption,(v26(constB29)), introduced(assumption)).
% 19.06/12.67 tff(3777,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3778,plain,
% 19.06/12.67 ($false),
% 19.06/12.67 inference(unit_resolution,[status(thm)],[3777, 18, 3776])).
% 19.06/12.67 tff(3779,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 19.06/12.67 tff(3780,plain,
% 19.06/12.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | (~v107(constB29)) | v106(constB29))),
% 19.06/12.67 inference(rewrite,[status(thm)],[])).
% 19.06/12.67 tff(3781,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))),
% 19.06/12.67 inference(quant_inst,[status(thm)],[])).
% 19.06/12.67 tff(3782,plain,
% 19.06/12.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | (~v107(constB29)) | v106(constB29)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 19.06/12.68 tff(3783,plain,
% 19.06/12.68 ((~v107(constB29)) | v106(constB29)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3782, 264, 3779])).
% 19.06/12.68 tff(3784,plain,
% 19.06/12.68 (v106(constB29)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3783, 3775])).
% 19.06/12.68 tff(3785,plain,
% 19.06/12.68 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB29) | (~v106(constB29)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB29) | (~v106(constB29)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3786,plain,
% 19.06/12.68 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB29) | (~v106(constB29)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3787,plain,
% 19.06/12.68 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB29) | (~v106(constB29))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3786, 3785])).
% 19.06/12.68 tff(3788,plain,
% 19.06/12.68 (v102(constB29)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3787, 276, 3784])).
% 19.06/12.68 tff(3789,plain,
% 19.06/12.68 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3790,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 19.06/12.68 tff(3791,plain,
% 19.06/12.68 (nextState(constB29, constB30)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3790, 3789])).
% 19.06/12.68 tff(3792,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3793,plain,
% 19.06/12.68 (((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30)) <=> ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3794,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29))))),
% 19.06/12.68 inference(monotonicity,[status(thm)],[3793])).
% 19.06/12.68 tff(3795,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 19.06/12.68 inference(transitivity,[status(thm)],[3794, 3792])).
% 19.06/12.68 tff(3796,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3797,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 19.06/12.68 tff(3798,plain,
% 19.06/12.68 (v104(constB30) | (~v102(constB29))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3797, 293, 3791])).
% 19.06/12.68 tff(3799,plain,
% 19.06/12.68 (v104(constB30)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3798, 3788])).
% 19.06/12.68 tff(3800,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3801,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3802,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 19.06/12.68 tff(3803,plain,
% 19.06/12.68 (~v98(constB30)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3802, 311, 3791, 3662])).
% 19.06/12.68 tff(3804,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3805,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3806,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB29, constB30)) | v96(constB30) | v98(constB30)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 19.06/12.68 tff(3807,plain,
% 19.06/12.68 (v96(constB30) | v98(constB30)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3806, 325, 3791])).
% 19.06/12.68 tff(3808,plain,
% 19.06/12.68 (v96(constB30)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3807, 3803])).
% 19.06/12.68 tff(3809,plain,
% 19.06/12.68 (v1(constB30) <=> v1(constB30)),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3810,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 19.06/12.68 tff(3811,plain,
% 19.06/12.68 (v1(constB30)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 19.06/12.68 tff(3812,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3813,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3814,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3813, 3812])).
% 19.06/12.68 tff(3815,plain,
% 19.06/12.68 (v95(constB30) | (~v96(constB30))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3814, 343, 3791, 3811])).
% 19.06/12.68 tff(3816,plain,
% 19.06/12.68 (v95(constB30)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3815, 3808])).
% 19.06/12.68 tff(3817,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3818,plain,
% 19.06/12.68 (((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30)) <=> ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3819,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30))))),
% 19.06/12.68 inference(monotonicity,[status(thm)],[3818])).
% 19.06/12.68 tff(3820,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 19.06/12.68 inference(transitivity,[status(thm)],[3819, 3817])).
% 19.06/12.68 tff(3821,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3822,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3821, 3820])).
% 19.06/12.68 tff(3823,plain,
% 19.06/12.68 (v94(constB30) | (~v95(constB30)) | (~v104(constB30))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3822, 358, 3791])).
% 19.06/12.68 tff(3824,plain,
% 19.06/12.68 (v94(constB30) | (~v104(constB30))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3823, 3816])).
% 19.06/12.68 tff(3825,plain,
% 19.06/12.68 (v94(constB30)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3824, 3799])).
% 19.06/12.68 tff(3826,plain,
% 19.06/12.68 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB29)) | (~v124(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB29)) | (~v124(constB29, bitIndex2)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3827,plain,
% 19.06/12.68 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB29)) | (~v124(constB29, bitIndex2)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3828,plain,
% 19.06/12.68 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB29)) | (~v124(constB29, bitIndex2))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3827, 3826])).
% 19.06/12.68 tff(3829,plain,
% 19.06/12.68 (~v124(constB29, bitIndex2)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3828, 1032, 3755])).
% 19.06/12.68 tff(3830,plain,
% 19.06/12.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3831,plain,
% 19.06/12.68 ((v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2))) <=> ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3832,plain,
% 19.06/12.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2)))),
% 19.06/12.68 inference(monotonicity,[status(thm)],[3831])).
% 19.06/12.68 tff(3833,plain,
% 19.06/12.68 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 19.06/12.68 inference(transitivity,[status(thm)],[3832, 3830])).
% 19.06/12.68 tff(3834,plain,
% 19.06/12.68 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3835,plain,
% 19.06/12.68 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3834, 3833])).
% 19.06/12.68 tff(3836,plain,
% 19.06/12.68 ((~v121(constB29, bitIndex2)) | v124(constB29, bitIndex2)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3835, 391, 3779])).
% 19.06/12.68 tff(3837,plain,
% 19.06/12.68 (~v121(constB29, bitIndex2)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3836, 3829])).
% 19.06/12.68 tff(3838,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3839,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3840,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 19.06/12.68 tff(3841,plain,
% 19.06/12.68 (v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3840, 409, 3791])).
% 19.06/12.68 tff(3842,plain,
% 19.06/12.68 (~v123(constB30, bitIndex2)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3841, 3837])).
% 19.06/12.68 tff(3843,plain,
% 19.06/12.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3844,plain,
% 19.06/12.68 (((~v84(constB30, bitIndex2)) | (~v94(constB30)) | v123(constB30, bitIndex2)) <=> ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3845,plain,
% 19.06/12.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | (~v94(constB30)) | v123(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30))))),
% 19.06/12.68 inference(monotonicity,[status(thm)],[3844])).
% 19.06/12.68 tff(3846,plain,
% 19.06/12.68 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | (~v94(constB30)) | v123(constB30, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 19.06/12.68 inference(transitivity,[status(thm)],[3845, 3843])).
% 19.06/12.68 tff(3847,plain,
% 19.06/12.68 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB30, bitIndex2)) | (~v94(constB30)) | v123(constB30, bitIndex2))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3848,plain,
% 19.06/12.68 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 19.06/12.68 tff(3849,plain,
% 19.06/12.68 ((~v84(constB30, bitIndex2)) | (~v94(constB30))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3848, 424, 3842])).
% 19.06/12.68 tff(3850,plain,
% 19.06/12.68 (~v84(constB30, bitIndex2)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3849, 3825])).
% 19.06/12.68 tff(3851,plain,
% 19.06/12.68 ((~v1(constB31)) <=> (~v1(constB31))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3852,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 19.06/12.68 tff(3853,plain,
% 19.06/12.68 (~v1(constB31)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 19.06/12.68 tff(3854,plain,
% 19.06/12.68 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3855,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 19.06/12.68 tff(3856,plain,
% 19.06/12.68 (nextState(constB30, constB31)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 19.06/12.68 tff(3857,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3858,plain,
% 19.06/12.68 (((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3859,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31))))),
% 19.06/12.68 inference(monotonicity,[status(thm)],[3858])).
% 19.06/12.68 tff(3860,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 19.06/12.68 inference(transitivity,[status(thm)],[3859, 3857])).
% 19.06/12.68 tff(3861,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3862,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3861, 3860])).
% 19.06/12.68 tff(3863,plain,
% 19.06/12.68 (~v95(constB31)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3862, 89, 3856, 3853])).
% 19.06/12.68 tff(3864,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3865,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3866,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 19.06/12.68 tff(3867,plain,
% 19.06/12.68 (v95(constB31) | (~v94(constB31))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3866, 106, 3856])).
% 19.06/12.68 tff(3868,plain,
% 19.06/12.68 (~v94(constB31)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3867, 3863])).
% 19.06/12.68 tff(3869,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3870,plain,
% 19.06/12.68 (((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2))) <=> (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3871,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2))))),
% 19.06/12.68 inference(monotonicity,[status(thm)],[3870])).
% 19.06/12.68 tff(3872,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 19.06/12.68 inference(transitivity,[status(thm)],[3871, 3869])).
% 19.06/12.68 tff(3873,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3874,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 19.06/12.68 tff(3875,plain,
% 19.06/12.68 (v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3874, 121, 3856])).
% 19.06/12.68 tff(3876,plain,
% 19.06/12.68 (v84(constB30, bitIndex2) | (~v84(constB31, bitIndex2))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3875, 3868])).
% 19.06/12.68 tff(3877,plain,
% 19.06/12.68 (~v84(constB31, bitIndex2)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3876, 3850])).
% 19.06/12.68 tff(3878,plain,
% 19.06/12.68 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB29)) | v124(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB29)) | v124(constB29, bitIndex1))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3879,plain,
% 19.06/12.68 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB29)) | v124(constB29, bitIndex1))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3880,plain,
% 19.06/12.68 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB29)) | v124(constB29, bitIndex1)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 19.06/12.68 tff(3881,plain,
% 19.06/12.68 (v124(constB29, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3880, 1094, 3755])).
% 19.06/12.68 tff(3882,plain,
% 19.06/12.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3883,plain,
% 19.06/12.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3884,plain,
% 19.06/12.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 19.06/12.68 tff(3885,plain,
% 19.06/12.68 ((~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3884, 804, 3779])).
% 19.06/12.68 tff(3886,plain,
% 19.06/12.68 (v121(constB29, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3885, 3881])).
% 19.06/12.68 tff(3887,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3888,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3889,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 19.06/12.68 tff(3890,plain,
% 19.06/12.68 ((~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3889, 819, 3791])).
% 19.06/12.68 tff(3891,plain,
% 19.06/12.68 (v123(constB30, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3890, 3886])).
% 19.06/12.68 tff(3892,plain,
% 19.06/12.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3893,plain,
% 19.06/12.68 ((v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1))) <=> (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3894,plain,
% 19.06/12.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30))))),
% 19.06/12.68 inference(monotonicity,[status(thm)],[3893])).
% 19.06/12.68 tff(3895,plain,
% 19.06/12.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 19.06/12.68 inference(transitivity,[status(thm)],[3894, 3892])).
% 19.06/12.68 tff(3896,plain,
% 19.06/12.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3897,plain,
% 19.06/12.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30))),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 19.06/12.68 tff(3898,plain,
% 19.06/12.68 (v84(constB30, bitIndex1) | (~v94(constB30))),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3897, 834, 3891])).
% 19.06/12.68 tff(3899,plain,
% 19.06/12.68 (v84(constB30, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3898, 3825])).
% 19.06/12.68 tff(3900,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3901,plain,
% 19.06/12.68 (((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1)) <=> ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3902,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1)))),
% 19.06/12.68 inference(monotonicity,[status(thm)],[3901])).
% 19.06/12.68 tff(3903,plain,
% 19.06/12.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 19.06/12.68 inference(transitivity,[status(thm)],[3902, 3900])).
% 19.06/12.68 tff(3904,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3905,plain,
% 19.06/12.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3904, 3903])).
% 19.06/12.68 tff(3906,plain,
% 19.06/12.68 ((~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3905, 852, 3856])).
% 19.06/12.68 tff(3907,plain,
% 19.06/12.68 ((~v84(constB30, bitIndex1)) | v84(constB31, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3906, 3868])).
% 19.06/12.68 tff(3908,plain,
% 19.06/12.68 (v84(constB31, bitIndex1)),
% 19.06/12.68 inference(unit_resolution,[status(thm)],[3907, 3899])).
% 19.06/12.68 tff(3909,plain,
% 19.06/12.68 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB29)) | v124(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB29)) | v124(constB29, bitIndex0))),
% 19.06/12.68 inference(rewrite,[status(thm)],[])).
% 19.06/12.68 tff(3910,plain,
% 19.06/12.68 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB29)) | v124(constB29, bitIndex0))),
% 19.06/12.68 inference(quant_inst,[status(thm)],[])).
% 19.06/12.68 tff(3911,plain,
% 19.06/12.68 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB29)) | v124(constB29, bitIndex0)),
% 19.06/12.68 inference(modus_ponens,[status(thm)],[3910, 3909])).
% 19.06/12.68 tff(3912,plain,
% 19.06/12.69 (v124(constB29, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3911, 1135, 3755])).
% 19.06/12.69 tff(3913,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3914,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3915,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3914, 3913])).
% 19.06/12.69 tff(3916,plain,
% 19.06/12.69 ((~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3915, 557, 3779])).
% 19.06/12.69 tff(3917,plain,
% 19.06/12.69 (v121(constB29, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3916, 3912])).
% 19.06/12.69 tff(3918,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3919,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3920,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3919, 3918])).
% 19.06/12.69 tff(3921,plain,
% 19.06/12.69 ((~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3920, 572, 3791])).
% 19.06/12.69 tff(3922,plain,
% 19.06/12.69 (v123(constB30, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3921, 3917])).
% 19.06/12.69 tff(3923,plain,
% 19.06/12.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3924,plain,
% 19.06/12.69 ((v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0))) <=> (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3925,plain,
% 19.06/12.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30))))),
% 19.06/12.69 inference(monotonicity,[status(thm)],[3924])).
% 19.06/12.69 tff(3926,plain,
% 19.06/12.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 19.06/12.69 inference(transitivity,[status(thm)],[3925, 3923])).
% 19.06/12.69 tff(3927,plain,
% 19.06/12.69 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3928,plain,
% 19.06/12.69 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3927, 3926])).
% 19.06/12.69 tff(3929,plain,
% 19.06/12.69 (v84(constB30, bitIndex0) | (~v94(constB30))),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3928, 587, 3922])).
% 19.06/12.69 tff(3930,plain,
% 19.06/12.69 (v84(constB30, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3929, 3825])).
% 19.06/12.69 tff(3931,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3932,plain,
% 19.06/12.69 (((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0)) <=> ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3933,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0)))),
% 19.06/12.69 inference(monotonicity,[status(thm)],[3932])).
% 19.06/12.69 tff(3934,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 19.06/12.69 inference(transitivity,[status(thm)],[3933, 3931])).
% 19.06/12.69 tff(3935,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3936,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 19.06/12.69 tff(3937,plain,
% 19.06/12.69 ((~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3936, 605, 3856])).
% 19.06/12.69 tff(3938,plain,
% 19.06/12.69 ((~v84(constB30, bitIndex0)) | v84(constB31, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3937, 3868])).
% 19.06/12.69 tff(3939,plain,
% 19.06/12.69 (v84(constB31, bitIndex0)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3938, 3930])).
% 19.06/12.69 tff(3940,plain,
% 19.06/12.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3941,plain,
% 19.06/12.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3942,plain,
% 19.06/12.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3941, 3940])).
% 19.06/12.69 tff(3943,plain,
% 19.06/12.69 (v116(constB31)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3942, 1176, 3939, 3908, 3877])).
% 19.06/12.69 tff(3944,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB31) | (~v116(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3945,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB31) | (~v116(constB31)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3946,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB31) | (~v116(constB31))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3945, 3944])).
% 19.06/12.69 tff(3947,plain,
% 19.06/12.69 (v110(constB31)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3946, 1187, 3943])).
% 19.06/12.69 tff(3948,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB31) | (~v110(constB31)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB31) | (~v110(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3949,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB31) | (~v110(constB31)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3950,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB31) | (~v110(constB31))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 19.06/12.69 tff(3951,plain,
% 19.06/12.69 (v109(constB31)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3950, 228, 3947])).
% 19.06/12.69 tff(3952,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB31) | (~v109(constB31)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB31) | (~v109(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3953,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB31) | (~v109(constB31)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3954,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB31) | (~v109(constB31))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 19.06/12.69 tff(3955,plain,
% 19.06/12.69 (v108(constB31)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3954, 239, 3951])).
% 19.06/12.69 tff(3956,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB31) | (~v108(constB31)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB31) | (~v108(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3957,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB31) | (~v108(constB31)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3958,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB31) | (~v108(constB31))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 19.06/12.69 tff(3959,plain,
% 19.06/12.69 (v107(constB31)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3958, 250, 3955])).
% 19.06/12.69 tff(3960,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | v106(constB31) | (~v107(constB31)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | v106(constB31) | (~v107(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3961,plain,
% 19.06/12.69 ((v26(constB31) | (~v107(constB31)) | v106(constB31)) <=> (v26(constB31) | v106(constB31) | (~v107(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3962,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | v106(constB31) | (~v107(constB31))))),
% 19.06/12.69 inference(monotonicity,[status(thm)],[3961])).
% 19.06/12.69 tff(3963,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | v106(constB31) | (~v107(constB31)))),
% 19.06/12.69 inference(transitivity,[status(thm)],[3962, 3960])).
% 19.06/12.69 tff(3964,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3965,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | v106(constB31) | (~v107(constB31))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 19.06/12.69 tff(3966,plain,
% 19.06/12.69 (v26(constB31) | v106(constB31)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3965, 264, 3959])).
% 19.06/12.69 tff(3967,plain,
% 19.06/12.69 (v106(constB31)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3966, 45])).
% 19.06/12.69 tff(3968,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB31) | (~v106(constB31)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB31) | (~v106(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3969,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB31) | (~v106(constB31)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3970,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB31) | (~v106(constB31))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3969, 3968])).
% 19.06/12.69 tff(3971,plain,
% 19.06/12.69 (v102(constB31)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3970, 276, 3967])).
% 19.06/12.69 tff(3972,plain,
% 19.06/12.69 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3973,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 19.06/12.69 tff(3974,plain,
% 19.06/12.69 (nextState(constB31, constB32)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3973, 3972])).
% 19.06/12.69 tff(3975,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3976,plain,
% 19.06/12.69 (((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32)) <=> ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3977,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31))))),
% 19.06/12.69 inference(monotonicity,[status(thm)],[3976])).
% 19.06/12.69 tff(3978,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 19.06/12.69 inference(transitivity,[status(thm)],[3977, 3975])).
% 19.06/12.69 tff(3979,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3980,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 19.06/12.69 tff(3981,plain,
% 19.06/12.69 (v104(constB32) | (~v102(constB31))),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3980, 293, 3974])).
% 19.06/12.69 tff(3982,plain,
% 19.06/12.69 (v104(constB32)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3981, 3971])).
% 19.06/12.69 tff(3983,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3984,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3985,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 19.06/12.69 tff(3986,plain,
% 19.06/12.69 (~v98(constB32)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3985, 311, 3974, 3853])).
% 19.06/12.69 tff(3987,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3988,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3989,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB31, constB32)) | v96(constB32) | v98(constB32)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 19.06/12.69 tff(3990,plain,
% 19.06/12.69 (v96(constB32) | v98(constB32)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3989, 325, 3974])).
% 19.06/12.69 tff(3991,plain,
% 19.06/12.69 (v96(constB32)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3990, 3986])).
% 19.06/12.69 tff(3992,plain,
% 19.06/12.69 (v1(constB32) <=> v1(constB32)),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3993,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 19.06/12.69 tff(3994,plain,
% 19.06/12.69 (v1(constB32)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 19.06/12.69 tff(3995,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(3996,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(3997,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 19.06/12.69 tff(3998,plain,
% 19.06/12.69 (v95(constB32) | (~v96(constB32))),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3997, 343, 3974, 3994])).
% 19.06/12.69 tff(3999,plain,
% 19.06/12.69 (v95(constB32)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[3998, 3991])).
% 19.06/12.69 tff(4000,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4001,plain,
% 19.06/12.69 (((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32)) <=> ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4002,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32))))),
% 19.06/12.69 inference(monotonicity,[status(thm)],[4001])).
% 19.06/12.69 tff(4003,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 19.06/12.69 inference(transitivity,[status(thm)],[4002, 4000])).
% 19.06/12.69 tff(4004,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4005,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 19.06/12.69 tff(4006,plain,
% 19.06/12.69 (v94(constB32) | (~v95(constB32)) | (~v104(constB32))),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4005, 358, 3974])).
% 19.06/12.69 tff(4007,plain,
% 19.06/12.69 (v94(constB32) | (~v104(constB32))),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4006, 3999])).
% 19.06/12.69 tff(4008,plain,
% 19.06/12.69 (v94(constB32)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4007, 3982])).
% 19.06/12.69 tff(4009,plain,
% 19.06/12.69 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB31)) | v124(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB31)) | v124(constB31, bitIndex2))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4010,plain,
% 19.06/12.69 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB31)) | v124(constB31, bitIndex2))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4011,plain,
% 19.06/12.69 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB31)) | v124(constB31, bitIndex2)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4010, 4009])).
% 19.06/12.69 tff(4012,plain,
% 19.06/12.69 (v124(constB31, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4011, 1259, 3943])).
% 19.06/12.69 tff(4013,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4014,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4015,plain,
% 19.06/12.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4014, 4013])).
% 19.06/12.69 tff(4016,plain,
% 19.06/12.69 (v26(constB31) | v121(constB31, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4015, 1273, 4012])).
% 19.06/12.69 tff(4017,plain,
% 19.06/12.69 (v121(constB31, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4016, 45])).
% 19.06/12.69 tff(4018,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4019,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4020,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 19.06/12.69 tff(4021,plain,
% 19.06/12.69 ((~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4020, 1288, 3974])).
% 19.06/12.69 tff(4022,plain,
% 19.06/12.69 (v123(constB32, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4021, 4017])).
% 19.06/12.69 tff(4023,plain,
% 19.06/12.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4024,plain,
% 19.06/12.69 ((v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2))) <=> (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4025,plain,
% 19.06/12.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32))))),
% 19.06/12.69 inference(monotonicity,[status(thm)],[4024])).
% 19.06/12.69 tff(4026,plain,
% 19.06/12.69 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 19.06/12.69 inference(transitivity,[status(thm)],[4025, 4023])).
% 19.06/12.69 tff(4027,plain,
% 19.06/12.69 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4028,plain,
% 19.06/12.69 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4027, 4026])).
% 19.06/12.69 tff(4029,plain,
% 19.06/12.69 (v84(constB32, bitIndex2) | (~v94(constB32))),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4028, 1303, 4022])).
% 19.06/12.69 tff(4030,plain,
% 19.06/12.69 (v84(constB32, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4029, 4008])).
% 19.06/12.69 tff(4031,plain,
% 19.06/12.69 ((~v1(constB33)) <=> (~v1(constB33))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4032,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 19.06/12.69 tff(4033,plain,
% 19.06/12.69 (~v1(constB33)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4032, 4031])).
% 19.06/12.69 tff(4034,plain,
% 19.06/12.69 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4035,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 19.06/12.69 tff(4036,plain,
% 19.06/12.69 (nextState(constB32, constB33)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 19.06/12.69 tff(4037,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4038,plain,
% 19.06/12.69 (((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4039,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33))))),
% 19.06/12.69 inference(monotonicity,[status(thm)],[4038])).
% 19.06/12.69 tff(4040,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 19.06/12.69 inference(transitivity,[status(thm)],[4039, 4037])).
% 19.06/12.69 tff(4041,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4042,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4041, 4040])).
% 19.06/12.69 tff(4043,plain,
% 19.06/12.69 (~v95(constB33)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4042, 89, 4036, 4033])).
% 19.06/12.69 tff(4044,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4045,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4046,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4045, 4044])).
% 19.06/12.69 tff(4047,plain,
% 19.06/12.69 (v95(constB33) | (~v94(constB33))),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4046, 106, 4036])).
% 19.06/12.69 tff(4048,plain,
% 19.06/12.69 (~v94(constB33)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4047, 4043])).
% 19.06/12.69 tff(4049,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4050,plain,
% 19.06/12.69 (((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2)) <=> ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4051,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2)))),
% 19.06/12.69 inference(monotonicity,[status(thm)],[4050])).
% 19.06/12.69 tff(4052,plain,
% 19.06/12.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 19.06/12.69 inference(transitivity,[status(thm)],[4051, 4049])).
% 19.06/12.69 tff(4053,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4054,plain,
% 19.06/12.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2)),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4053, 4052])).
% 19.06/12.69 tff(4055,plain,
% 19.06/12.69 ((~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4054, 1339, 4036])).
% 19.06/12.69 tff(4056,plain,
% 19.06/12.69 ((~v84(constB32, bitIndex2)) | v84(constB33, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4055, 4048])).
% 19.06/12.69 tff(4057,plain,
% 19.06/12.69 (v84(constB33, bitIndex2)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4056, 4030])).
% 19.06/12.69 tff(4058,plain,
% 19.06/12.69 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB31)) | (~v124(constB31, bitIndex1)))),
% 19.06/12.69 inference(rewrite,[status(thm)],[])).
% 19.06/12.69 tff(4059,plain,
% 19.06/12.69 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex1)))),
% 19.06/12.69 inference(quant_inst,[status(thm)],[])).
% 19.06/12.69 tff(4060,plain,
% 19.06/12.69 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB31)) | (~v124(constB31, bitIndex1))),
% 19.06/12.69 inference(modus_ponens,[status(thm)],[4059, 4058])).
% 19.06/12.69 tff(4061,plain,
% 19.06/12.69 (~v124(constB31, bitIndex1)),
% 19.06/12.69 inference(unit_resolution,[status(thm)],[4060, 1358, 3943])).
% 19.06/12.69 tff(4062,plain,
% 19.06/12.69 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4063,plain,
% 19.06/12.70 ((v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1))) <=> ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4064,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1)))),
% 19.06/12.70 inference(monotonicity,[status(thm)],[4063])).
% 19.06/12.70 tff(4065,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 19.06/12.70 inference(transitivity,[status(thm)],[4064, 4062])).
% 19.06/12.70 tff(4066,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4067,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1)),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4066, 4065])).
% 19.06/12.70 tff(4068,plain,
% 19.06/12.70 ((~v121(constB31, bitIndex1)) | v26(constB31)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4067, 483, 4061])).
% 19.06/12.70 tff(4069,plain,
% 19.06/12.70 (~v121(constB31, bitIndex1)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4068, 45])).
% 19.06/12.70 tff(4070,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4071,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4072,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4071, 4070])).
% 19.06/12.70 tff(4073,plain,
% 19.06/12.70 (v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4072, 501, 3974])).
% 19.06/12.70 tff(4074,plain,
% 19.06/12.70 (~v123(constB32, bitIndex1)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4073, 4069])).
% 19.06/12.70 tff(4075,plain,
% 19.06/12.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4076,plain,
% 19.06/12.70 (((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1)) <=> ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4077,plain,
% 19.06/12.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32))))),
% 19.06/12.70 inference(monotonicity,[status(thm)],[4076])).
% 19.06/12.70 tff(4078,plain,
% 19.06/12.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 19.06/12.70 inference(transitivity,[status(thm)],[4077, 4075])).
% 19.06/12.70 tff(4079,plain,
% 19.06/12.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4080,plain,
% 19.06/12.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 19.06/12.70 tff(4081,plain,
% 19.06/12.70 ((~v84(constB32, bitIndex1)) | (~v94(constB32))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4080, 516, 4074])).
% 19.06/12.70 tff(4082,plain,
% 19.06/12.70 (~v84(constB32, bitIndex1)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4081, 4008])).
% 19.06/12.70 tff(4083,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4084,plain,
% 19.06/12.70 (((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1))) <=> (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4085,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1))))),
% 19.06/12.70 inference(monotonicity,[status(thm)],[4084])).
% 19.06/12.70 tff(4086,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 19.06/12.70 inference(transitivity,[status(thm)],[4085, 4083])).
% 19.06/12.70 tff(4087,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4088,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 19.06/12.70 tff(4089,plain,
% 19.06/12.70 (v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4088, 142, 4036])).
% 19.06/12.70 tff(4090,plain,
% 19.06/12.70 (v84(constB32, bitIndex1) | (~v84(constB33, bitIndex1))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4089, 4048])).
% 19.06/12.70 tff(4091,plain,
% 19.06/12.70 (~v84(constB33, bitIndex1)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4090, 4082])).
% 19.06/12.70 tff(4092,plain,
% 19.06/12.70 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB31)) | (~v124(constB31, bitIndex0)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4093,plain,
% 19.06/12.70 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex0)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4094,plain,
% 19.06/12.70 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB31)) | (~v124(constB31, bitIndex0))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 19.06/12.70 tff(4095,plain,
% 19.06/12.70 (~v124(constB31, bitIndex0)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4094, 1402, 3943])).
% 19.06/12.70 tff(4096,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4097,plain,
% 19.06/12.70 ((v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0))) <=> ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4098,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0)))),
% 19.06/12.70 inference(monotonicity,[status(thm)],[4097])).
% 19.06/12.70 tff(4099,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 19.06/12.70 inference(transitivity,[status(thm)],[4098, 4096])).
% 19.06/12.70 tff(4100,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4101,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0)),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 19.06/12.70 tff(4102,plain,
% 19.06/12.70 ((~v121(constB31, bitIndex0)) | v26(constB31)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4101, 885, 4095])).
% 19.06/12.70 tff(4103,plain,
% 19.06/12.70 (~v121(constB31, bitIndex0)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4102, 45])).
% 19.06/12.70 tff(4104,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4105,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4106,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4105, 4104])).
% 19.06/12.70 tff(4107,plain,
% 19.06/12.70 (v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4106, 903, 3974])).
% 19.06/12.70 tff(4108,plain,
% 19.06/12.70 (~v123(constB32, bitIndex0)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4107, 4103])).
% 19.06/12.70 tff(4109,plain,
% 19.06/12.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4110,plain,
% 19.06/12.70 (((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0)) <=> ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4111,plain,
% 19.06/12.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32))))),
% 19.06/12.70 inference(monotonicity,[status(thm)],[4110])).
% 19.06/12.70 tff(4112,plain,
% 19.06/12.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 19.06/12.70 inference(transitivity,[status(thm)],[4111, 4109])).
% 19.06/12.70 tff(4113,plain,
% 19.06/12.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4114,plain,
% 19.06/12.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4113, 4112])).
% 19.06/12.70 tff(4115,plain,
% 19.06/12.70 ((~v84(constB32, bitIndex0)) | (~v94(constB32))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4114, 918, 4108])).
% 19.06/12.70 tff(4116,plain,
% 19.06/12.70 (~v84(constB32, bitIndex0)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4115, 4008])).
% 19.06/12.70 tff(4117,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4118,plain,
% 19.06/12.70 (((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0))) <=> (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4119,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0))))),
% 19.06/12.70 inference(monotonicity,[status(thm)],[4118])).
% 19.06/12.70 tff(4120,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 19.06/12.70 inference(transitivity,[status(thm)],[4119, 4117])).
% 19.06/12.70 tff(4121,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4122,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 19.06/12.70 tff(4123,plain,
% 19.06/12.70 (v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4122, 163, 4036])).
% 19.06/12.70 tff(4124,plain,
% 19.06/12.70 (v84(constB32, bitIndex0) | (~v84(constB33, bitIndex0))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4123, 4048])).
% 19.06/12.70 tff(4125,plain,
% 19.06/12.70 (~v84(constB33, bitIndex0)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4124, 4116])).
% 19.06/12.70 tff(4126,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4127,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4128,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33)),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4127, 4126])).
% 19.06/12.70 tff(4129,plain,
% 19.06/12.70 (v172(constB33)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4128, 1446, 4125, 4091, 4057])).
% 19.06/12.70 tff(4130,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB33) | (~v172(constB33)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB33) | (~v172(constB33)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4131,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB33) | (~v172(constB33)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4132,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB33) | (~v172(constB33))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 19.06/12.70 tff(4133,plain,
% 19.06/12.70 (v109(constB33)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4132, 1457, 4129])).
% 19.06/12.70 tff(4134,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB33) | (~v109(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB33) | (~v109(constB33)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4135,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB33) | (~v109(constB33)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4136,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB33) | (~v109(constB33))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4135, 4134])).
% 19.06/12.70 tff(4137,plain,
% 19.06/12.70 (v108(constB33)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4136, 239, 4133])).
% 19.06/12.70 tff(4138,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB33) | (~v108(constB33)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB33) | (~v108(constB33)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4139,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB33) | (~v108(constB33)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4140,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB33) | (~v108(constB33))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4139, 4138])).
% 19.06/12.70 tff(4141,plain,
% 19.06/12.70 (v107(constB33)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4140, 250, 4137])).
% 19.06/12.70 tff(4142,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | (~v107(constB33)) | v106(constB33))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4143,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4144,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | (~v107(constB33)) | v106(constB33)),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4143, 4142])).
% 19.06/12.70 tff(4145,plain,
% 19.06/12.70 (v26(constB33) | v106(constB33)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4144, 264, 4141])).
% 19.06/12.70 tff(4146,plain,
% 19.06/12.70 (v106(constB33)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4145, 41])).
% 19.06/12.70 tff(4147,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB33) | (~v106(constB33)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB33) | (~v106(constB33)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4148,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB33) | (~v106(constB33)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4149,plain,
% 19.06/12.70 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB33) | (~v106(constB33))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4148, 4147])).
% 19.06/12.70 tff(4150,plain,
% 19.06/12.70 (v102(constB33)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4149, 276, 4146])).
% 19.06/12.70 tff(4151,plain,
% 19.06/12.70 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4152,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 19.06/12.70 tff(4153,plain,
% 19.06/12.70 (nextState(constB33, constB34)),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4152, 4151])).
% 19.06/12.70 tff(4154,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4155,plain,
% 19.06/12.70 (((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34)) <=> ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4156,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33))))),
% 19.06/12.70 inference(monotonicity,[status(thm)],[4155])).
% 19.06/12.70 tff(4157,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 19.06/12.70 inference(transitivity,[status(thm)],[4156, 4154])).
% 19.06/12.70 tff(4158,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4159,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 19.06/12.70 tff(4160,plain,
% 19.06/12.70 (v104(constB34) | (~v102(constB33))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4159, 293, 4153])).
% 19.06/12.70 tff(4161,plain,
% 19.06/12.70 (v104(constB34)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4160, 4150])).
% 19.06/12.70 tff(4162,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4163,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4164,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 19.06/12.70 tff(4165,plain,
% 19.06/12.70 (~v98(constB34)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4164, 311, 4153, 4033])).
% 19.06/12.70 tff(4166,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4167,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4168,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB33, constB34)) | v96(constB34) | v98(constB34)),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4167, 4166])).
% 19.06/12.70 tff(4169,plain,
% 19.06/12.70 (v96(constB34) | v98(constB34)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4168, 325, 4153])).
% 19.06/12.70 tff(4170,plain,
% 19.06/12.70 (v96(constB34)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4169, 4165])).
% 19.06/12.70 tff(4171,plain,
% 19.06/12.70 (v1(constB34) <=> v1(constB34)),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4172,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 19.06/12.70 tff(4173,plain,
% 19.06/12.70 (v1(constB34)),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 19.06/12.70 tff(4174,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4175,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4176,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4175, 4174])).
% 19.06/12.70 tff(4177,plain,
% 19.06/12.70 (v95(constB34) | (~v96(constB34))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4176, 343, 4153, 4173])).
% 19.06/12.70 tff(4178,plain,
% 19.06/12.70 (v95(constB34)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4177, 4170])).
% 19.06/12.70 tff(4179,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4180,plain,
% 19.06/12.70 (((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34)) <=> ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4181,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34))))),
% 19.06/12.70 inference(monotonicity,[status(thm)],[4180])).
% 19.06/12.70 tff(4182,plain,
% 19.06/12.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 19.06/12.70 inference(transitivity,[status(thm)],[4181, 4179])).
% 19.06/12.70 tff(4183,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4184,plain,
% 19.06/12.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34))),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4183, 4182])).
% 19.06/12.70 tff(4185,plain,
% 19.06/12.70 (v94(constB34) | (~v95(constB34)) | (~v104(constB34))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4184, 358, 4153])).
% 19.06/12.70 tff(4186,plain,
% 19.06/12.70 (v94(constB34) | (~v104(constB34))),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4185, 4178])).
% 19.06/12.70 tff(4187,plain,
% 19.06/12.70 (v94(constB34)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4186, 4161])).
% 19.06/12.70 tff(4188,plain,
% 19.06/12.70 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB33)) | v124(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB33)) | v124(constB33, bitIndex2))),
% 19.06/12.70 inference(rewrite,[status(thm)],[])).
% 19.06/12.70 tff(4189,plain,
% 19.06/12.70 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB33)) | v124(constB33, bitIndex2))),
% 19.06/12.70 inference(quant_inst,[status(thm)],[])).
% 19.06/12.70 tff(4190,plain,
% 19.06/12.70 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB33)) | v124(constB33, bitIndex2)),
% 19.06/12.70 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 19.06/12.70 tff(4191,plain,
% 19.06/12.70 (v124(constB33, bitIndex2)),
% 19.06/12.70 inference(unit_resolution,[status(thm)],[4190, 1528, 4129])).
% 19.06/12.70 tff(4192,plain,
% 19.06/12.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4193,plain,
% 19.06/12.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))),
% 19.06/12.71 inference(quant_inst,[status(thm)],[])).
% 19.06/12.71 tff(4194,plain,
% 19.06/12.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2)),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 19.06/12.71 tff(4195,plain,
% 19.06/12.71 (v26(constB33) | v121(constB33, bitIndex2)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4194, 1273, 4191])).
% 19.06/12.71 tff(4196,plain,
% 19.06/12.71 (v121(constB33, bitIndex2)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4195, 41])).
% 19.06/12.71 tff(4197,plain,
% 19.06/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4198,plain,
% 19.06/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))),
% 19.06/12.71 inference(quant_inst,[status(thm)],[])).
% 19.06/12.71 tff(4199,plain,
% 19.06/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2)),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 19.06/12.71 tff(4200,plain,
% 19.06/12.71 ((~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4199, 1288, 4153])).
% 19.06/12.71 tff(4201,plain,
% 19.06/12.71 (v123(constB34, bitIndex2)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4200, 4196])).
% 19.06/12.71 tff(4202,plain,
% 19.06/12.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4203,plain,
% 19.06/12.71 ((v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2))) <=> (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4204,plain,
% 19.06/12.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34))))),
% 19.06/12.71 inference(monotonicity,[status(thm)],[4203])).
% 19.06/12.71 tff(4205,plain,
% 19.06/12.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 19.06/12.71 inference(transitivity,[status(thm)],[4204, 4202])).
% 19.06/12.71 tff(4206,plain,
% 19.06/12.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))),
% 19.06/12.71 inference(quant_inst,[status(thm)],[])).
% 19.06/12.71 tff(4207,plain,
% 19.06/12.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34))),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4206, 4205])).
% 19.06/12.71 tff(4208,plain,
% 19.06/12.71 (v84(constB34, bitIndex2) | (~v94(constB34))),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4207, 1303, 4201])).
% 19.06/12.71 tff(4209,plain,
% 19.06/12.71 (v84(constB34, bitIndex2)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4208, 4187])).
% 19.06/12.71 tff(4210,plain,
% 19.06/12.71 ((~v1(constB35)) <=> (~v1(constB35))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4211,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 19.06/12.71 tff(4212,plain,
% 19.06/12.71 (~v1(constB35)),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4211, 4210])).
% 19.06/12.71 tff(4213,plain,
% 19.06/12.71 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4214,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 19.06/12.71 tff(4215,plain,
% 19.06/12.71 (nextState(constB34, constB35)),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4214, 4213])).
% 19.06/12.71 tff(4216,plain,
% 19.06/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4217,plain,
% 19.06/12.71 (((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4218,plain,
% 19.06/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35))))),
% 19.06/12.71 inference(monotonicity,[status(thm)],[4217])).
% 19.06/12.71 tff(4219,plain,
% 19.06/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 19.06/12.71 inference(transitivity,[status(thm)],[4218, 4216])).
% 19.06/12.71 tff(4220,plain,
% 19.06/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))),
% 19.06/12.71 inference(quant_inst,[status(thm)],[])).
% 19.06/12.71 tff(4221,plain,
% 19.06/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35))),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 19.06/12.71 tff(4222,plain,
% 19.06/12.71 (~v95(constB35)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4221, 89, 4215, 4212])).
% 19.06/12.71 tff(4223,plain,
% 19.06/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4224,plain,
% 19.06/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))),
% 19.06/12.71 inference(quant_inst,[status(thm)],[])).
% 19.06/12.71 tff(4225,plain,
% 19.06/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35))),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4224, 4223])).
% 19.06/12.71 tff(4226,plain,
% 19.06/12.71 (v95(constB35) | (~v94(constB35))),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4225, 106, 4215])).
% 19.06/12.71 tff(4227,plain,
% 19.06/12.71 (~v94(constB35)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4226, 4222])).
% 19.06/12.71 tff(4228,plain,
% 19.06/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4229,plain,
% 19.06/12.71 (((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2)) <=> ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4230,plain,
% 19.06/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2)))),
% 19.06/12.71 inference(monotonicity,[status(thm)],[4229])).
% 19.06/12.71 tff(4231,plain,
% 19.06/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 19.06/12.71 inference(transitivity,[status(thm)],[4230, 4228])).
% 19.06/12.71 tff(4232,plain,
% 19.06/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))),
% 19.06/12.71 inference(quant_inst,[status(thm)],[])).
% 19.06/12.71 tff(4233,plain,
% 19.06/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2)),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 19.06/12.71 tff(4234,plain,
% 19.06/12.71 ((~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4233, 1339, 4215])).
% 19.06/12.71 tff(4235,plain,
% 19.06/12.71 ((~v84(constB34, bitIndex2)) | v84(constB35, bitIndex2)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4234, 4227])).
% 19.06/12.71 tff(4236,plain,
% 19.06/12.71 (v84(constB35, bitIndex2)),
% 19.06/12.71 inference(unit_resolution,[status(thm)],[4235, 4209])).
% 19.06/12.71 tff(4237,plain,
% 19.06/12.71 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB33)) | (~v124(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB33)) | (~v124(constB33, bitIndex1)))),
% 19.06/12.71 inference(rewrite,[status(thm)],[])).
% 19.06/12.71 tff(4238,plain,
% 19.06/12.71 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB33)) | (~v124(constB33, bitIndex1)))),
% 19.06/12.71 inference(quant_inst,[status(thm)],[])).
% 19.06/12.71 tff(4239,plain,
% 19.06/12.71 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB33)) | (~v124(constB33, bitIndex1))),
% 19.06/12.71 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 19.14/12.71 tff(4240,plain,
% 19.14/12.71 (~v124(constB33, bitIndex1)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4239, 1587, 4129])).
% 19.14/12.71 tff(4241,plain,
% 19.14/12.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4242,plain,
% 19.14/12.71 ((v26(constB33) | v124(constB33, bitIndex1) | (~v121(constB33, bitIndex1))) <=> ((~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4243,plain,
% 19.14/12.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB33) | v124(constB33, bitIndex1) | (~v121(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1)))),
% 19.14/12.71 inference(monotonicity,[status(thm)],[4242])).
% 19.14/12.71 tff(4244,plain,
% 19.14/12.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB33) | v124(constB33, bitIndex1) | (~v121(constB33, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1))),
% 19.14/12.71 inference(transitivity,[status(thm)],[4243, 4241])).
% 19.14/12.71 tff(4245,plain,
% 19.14/12.71 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB33) | v124(constB33, bitIndex1) | (~v121(constB33, bitIndex1)))),
% 19.14/12.71 inference(quant_inst,[status(thm)],[])).
% 19.14/12.71 tff(4246,plain,
% 19.14/12.71 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1)),
% 19.14/12.71 inference(modus_ponens,[status(thm)],[4245, 4244])).
% 19.14/12.71 tff(4247,plain,
% 19.14/12.71 ((~v121(constB33, bitIndex1)) | v26(constB33)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4246, 483, 4240])).
% 19.14/12.71 tff(4248,plain,
% 19.14/12.71 (~v121(constB33, bitIndex1)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4247, 41])).
% 19.14/12.71 tff(4249,plain,
% 19.14/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1)))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4250,plain,
% 19.14/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1)))),
% 19.14/12.71 inference(quant_inst,[status(thm)],[])).
% 19.14/12.71 tff(4251,plain,
% 19.14/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1))),
% 19.14/12.71 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 19.14/12.71 tff(4252,plain,
% 19.14/12.71 (v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1))),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4251, 501, 4153])).
% 19.14/12.71 tff(4253,plain,
% 19.14/12.71 (~v123(constB34, bitIndex1)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4252, 4248])).
% 19.14/12.71 tff(4254,plain,
% 19.14/12.71 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34)))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4255,plain,
% 19.14/12.71 (((~v84(constB34, bitIndex1)) | (~v94(constB34)) | v123(constB34, bitIndex1)) <=> ((~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34)))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4256,plain,
% 19.14/12.71 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~v94(constB34)) | v123(constB34, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34))))),
% 19.14/12.71 inference(monotonicity,[status(thm)],[4255])).
% 19.14/12.71 tff(4257,plain,
% 19.14/12.71 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~v94(constB34)) | v123(constB34, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34)))),
% 19.14/12.71 inference(transitivity,[status(thm)],[4256, 4254])).
% 19.14/12.71 tff(4258,plain,
% 19.14/12.71 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~v94(constB34)) | v123(constB34, bitIndex1))),
% 19.14/12.71 inference(quant_inst,[status(thm)],[])).
% 19.14/12.71 tff(4259,plain,
% 19.14/12.71 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34))),
% 19.14/12.71 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 19.14/12.71 tff(4260,plain,
% 19.14/12.71 ((~v84(constB34, bitIndex1)) | (~v94(constB34))),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4259, 516, 4253])).
% 19.14/12.71 tff(4261,plain,
% 19.14/12.71 (~v84(constB34, bitIndex1)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4260, 4187])).
% 19.14/12.71 tff(4262,plain,
% 19.14/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1)))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4263,plain,
% 19.14/12.71 (((~nextState(constB34, constB35)) | v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1))) <=> (v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1)))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4264,plain,
% 19.14/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1))))),
% 19.14/12.71 inference(monotonicity,[status(thm)],[4263])).
% 19.14/12.71 tff(4265,plain,
% 19.14/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1)))),
% 19.14/12.71 inference(transitivity,[status(thm)],[4264, 4262])).
% 19.14/12.71 tff(4266,plain,
% 19.14/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1)))),
% 19.14/12.71 inference(quant_inst,[status(thm)],[])).
% 19.14/12.71 tff(4267,plain,
% 19.14/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1))),
% 19.14/12.71 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 19.14/12.71 tff(4268,plain,
% 19.14/12.71 (v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1))),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4267, 142, 4215])).
% 19.14/12.71 tff(4269,plain,
% 19.14/12.71 (v84(constB34, bitIndex1) | (~v84(constB35, bitIndex1))),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4268, 4227])).
% 19.14/12.71 tff(4270,plain,
% 19.14/12.71 (~v84(constB35, bitIndex1)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4269, 4261])).
% 19.14/12.71 tff(4271,plain,
% 19.14/12.71 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB33)) | v124(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB33)) | v124(constB33, bitIndex0))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4272,plain,
% 19.14/12.71 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB33)) | v124(constB33, bitIndex0))),
% 19.14/12.71 inference(quant_inst,[status(thm)],[])).
% 19.14/12.71 tff(4273,plain,
% 19.14/12.71 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB33)) | v124(constB33, bitIndex0)),
% 19.14/12.71 inference(modus_ponens,[status(thm)],[4272, 4271])).
% 19.14/12.71 tff(4274,plain,
% 19.14/12.71 (v124(constB33, bitIndex0)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4273, 1631, 4129])).
% 19.14/12.71 tff(4275,plain,
% 19.14/12.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB33) | (~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB33) | (~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4276,plain,
% 19.14/12.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB33) | (~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0))),
% 19.14/12.71 inference(quant_inst,[status(thm)],[])).
% 19.14/12.71 tff(4277,plain,
% 19.14/12.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB33) | (~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0)),
% 19.14/12.71 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 19.14/12.71 tff(4278,plain,
% 19.14/12.71 (v26(constB33) | v121(constB33, bitIndex0)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4277, 557, 4274])).
% 19.14/12.71 tff(4279,plain,
% 19.14/12.71 (v121(constB33, bitIndex0)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4278, 41])).
% 19.14/12.71 tff(4280,plain,
% 19.14/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4281,plain,
% 19.14/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0))),
% 19.14/12.71 inference(quant_inst,[status(thm)],[])).
% 19.14/12.71 tff(4282,plain,
% 19.14/12.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0)),
% 19.14/12.71 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 19.14/12.71 tff(4283,plain,
% 19.14/12.71 ((~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4282, 572, 4153])).
% 19.14/12.71 tff(4284,plain,
% 19.14/12.71 (v123(constB34, bitIndex0)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4283, 4279])).
% 19.14/12.71 tff(4285,plain,
% 19.14/12.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34)))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4286,plain,
% 19.14/12.71 ((v84(constB34, bitIndex0) | (~v94(constB34)) | (~v123(constB34, bitIndex0))) <=> (v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34)))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4287,plain,
% 19.14/12.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v94(constB34)) | (~v123(constB34, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34))))),
% 19.14/12.71 inference(monotonicity,[status(thm)],[4286])).
% 19.14/12.71 tff(4288,plain,
% 19.14/12.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v94(constB34)) | (~v123(constB34, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34)))),
% 19.14/12.71 inference(transitivity,[status(thm)],[4287, 4285])).
% 19.14/12.71 tff(4289,plain,
% 19.14/12.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v94(constB34)) | (~v123(constB34, bitIndex0)))),
% 19.14/12.71 inference(quant_inst,[status(thm)],[])).
% 19.14/12.71 tff(4290,plain,
% 19.14/12.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34))),
% 19.14/12.71 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 19.14/12.71 tff(4291,plain,
% 19.14/12.71 (v84(constB34, bitIndex0) | (~v94(constB34))),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4290, 587, 4284])).
% 19.14/12.71 tff(4292,plain,
% 19.14/12.71 (v84(constB34, bitIndex0)),
% 19.14/12.71 inference(unit_resolution,[status(thm)],[4291, 4187])).
% 19.14/12.71 tff(4293,plain,
% 19.14/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4294,plain,
% 19.14/12.71 (((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0)) <=> ((~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0))),
% 19.14/12.71 inference(rewrite,[status(thm)],[])).
% 19.14/12.71 tff(4295,plain,
% 19.14/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0)))),
% 19.14/12.71 inference(monotonicity,[status(thm)],[4294])).
% 19.14/12.71 tff(4296,plain,
% 19.14/12.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0))),
% 19.14/12.72 inference(transitivity,[status(thm)],[4295, 4293])).
% 19.14/12.72 tff(4297,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4298,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 19.14/12.72 tff(4299,plain,
% 19.14/12.72 ((~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4298, 605, 4215])).
% 19.14/12.72 tff(4300,plain,
% 19.14/12.72 ((~v84(constB34, bitIndex0)) | v84(constB35, bitIndex0)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4299, 4227])).
% 19.14/12.72 tff(4301,plain,
% 19.14/12.72 (v84(constB35, bitIndex0)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4300, 4292])).
% 19.14/12.72 tff(4302,plain,
% 19.14/12.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB35, bitIndex0)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex2)) | v118(constB35))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB35, bitIndex0)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex2)) | v118(constB35))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4303,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB35, bitIndex0)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex2)) | v118(constB35))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4304,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB35, bitIndex0)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex2)) | v118(constB35)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4303, 4302])).
% 19.14/12.72 tff(4305,plain,
% 19.14/12.72 (v118(constB35)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4304, 1672, 4301, 4270, 4236])).
% 19.14/12.72 tff(4306,plain,
% 19.14/12.72 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB35)) | v124(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB35)) | v124(constB35, bitIndex2))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4307,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB35)) | v124(constB35, bitIndex2))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4308,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB35)) | v124(constB35, bitIndex2)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4307, 4306])).
% 19.14/12.72 tff(4309,plain,
% 19.14/12.72 (v124(constB35, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4308, 1750, 4305])).
% 19.14/12.72 tff(4310,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB35) | (~v124(constB35, bitIndex2)) | v121(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB35) | (~v124(constB35, bitIndex2)) | v121(constB35, bitIndex2))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4311,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB35) | (~v124(constB35, bitIndex2)) | v121(constB35, bitIndex2))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4312,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB35) | (~v124(constB35, bitIndex2)) | v121(constB35, bitIndex2)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4311, 4310])).
% 19.14/12.72 tff(4313,plain,
% 19.14/12.72 (v26(constB35) | v121(constB35, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4312, 1273, 4309])).
% 19.14/12.72 tff(4314,plain,
% 19.14/12.72 (v121(constB35, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4313, 37])).
% 19.14/12.72 tff(4315,plain,
% 19.14/12.72 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4316,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 19.14/12.72 tff(4317,plain,
% 19.14/12.72 (nextState(constB35, constB36)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 19.14/12.72 tff(4318,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4319,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4320,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4319, 4318])).
% 19.14/12.72 tff(4321,plain,
% 19.14/12.72 ((~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4320, 1288, 4317])).
% 19.14/12.72 tff(4322,plain,
% 19.14/12.72 (v123(constB36, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4321, 4314])).
% 19.14/12.72 tff(4323,assumption,(~v102(constB35)), introduced(assumption)).
% 19.14/12.72 tff(4324,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB35) | (~v106(constB35)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB35) | (~v106(constB35)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4325,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB35) | (~v106(constB35)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4326,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB35) | (~v106(constB35))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 19.14/12.72 tff(4327,plain,
% 19.14/12.72 (~v106(constB35)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4326, 276, 4323])).
% 19.14/12.72 tff(4328,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB35) | (~v26(constB35)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB35) | (~v26(constB35)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4329,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB35) | (~v26(constB35)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4330,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB35) | (~v26(constB35))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4329, 4328])).
% 19.14/12.72 tff(4331,plain,
% 19.14/12.72 (~v26(constB35)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4330, 670, 4323])).
% 19.14/12.72 tff(4332,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB35) | (~v118(constB35)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB35) | (~v118(constB35)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4333,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB35) | (~v118(constB35)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4334,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB35) | (~v118(constB35))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 19.14/12.72 tff(4335,plain,
% 19.14/12.72 (v108(constB35)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4334, 1683, 4305])).
% 19.14/12.72 tff(4336,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB35) | (~v108(constB35)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB35) | (~v108(constB35)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4337,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB35) | (~v108(constB35)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4338,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB35) | (~v108(constB35))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4337, 4336])).
% 19.14/12.72 tff(4339,plain,
% 19.14/12.72 (v107(constB35)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4338, 250, 4335])).
% 19.14/12.72 tff(4340,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | v106(constB35) | (~v107(constB35)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4341,plain,
% 19.14/12.72 ((v26(constB35) | (~v107(constB35)) | v106(constB35)) <=> (v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4342,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | v106(constB35) | (~v107(constB35))))),
% 19.14/12.72 inference(monotonicity,[status(thm)],[4341])).
% 19.14/12.72 tff(4343,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 19.14/12.72 inference(transitivity,[status(thm)],[4342, 4340])).
% 19.14/12.72 tff(4344,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4345,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4344, 4343])).
% 19.14/12.72 tff(4346,plain,
% 19.14/12.72 (v26(constB35) | v106(constB35)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4345, 264, 4339])).
% 19.14/12.72 tff(4347,plain,
% 19.14/12.72 ($false),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4346, 4331, 4327])).
% 19.14/12.72 tff(4348,plain,(v102(constB35)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.72 tff(4349,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4350,plain,
% 19.14/12.72 (((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36)) <=> ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4351,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35))))),
% 19.14/12.72 inference(monotonicity,[status(thm)],[4350])).
% 19.14/12.72 tff(4352,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 19.14/12.72 inference(transitivity,[status(thm)],[4351, 4349])).
% 19.14/12.72 tff(4353,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4354,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 19.14/12.72 tff(4355,plain,
% 19.14/12.72 (v104(constB36) | (~v102(constB35))),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4354, 293, 4317])).
% 19.14/12.72 tff(4356,plain,
% 19.14/12.72 (v104(constB36)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4355, 4348])).
% 19.14/12.72 tff(4357,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4358,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4359,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4358, 4357])).
% 19.14/12.72 tff(4360,plain,
% 19.14/12.72 (~v98(constB36)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4359, 311, 4317, 4212])).
% 19.14/12.72 tff(4361,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4362,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4363,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB35, constB36)) | v96(constB36) | v98(constB36)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4362, 4361])).
% 19.14/12.72 tff(4364,plain,
% 19.14/12.72 (v96(constB36) | v98(constB36)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4363, 325, 4317])).
% 19.14/12.72 tff(4365,plain,
% 19.14/12.72 (v96(constB36)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4364, 4360])).
% 19.14/12.72 tff(4366,plain,
% 19.14/12.72 (v1(constB36) <=> v1(constB36)),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4367,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 19.14/12.72 tff(4368,plain,
% 19.14/12.72 (v1(constB36)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4367, 4366])).
% 19.14/12.72 tff(4369,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4370,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4371,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4370, 4369])).
% 19.14/12.72 tff(4372,plain,
% 19.14/12.72 (v95(constB36) | (~v96(constB36))),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4371, 343, 4317, 4368])).
% 19.14/12.72 tff(4373,plain,
% 19.14/12.72 (v95(constB36)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4372, 4365])).
% 19.14/12.72 tff(4374,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4375,plain,
% 19.14/12.72 (((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36)) <=> ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4376,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36))))),
% 19.14/12.72 inference(monotonicity,[status(thm)],[4375])).
% 19.14/12.72 tff(4377,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 19.14/12.72 inference(transitivity,[status(thm)],[4376, 4374])).
% 19.14/12.72 tff(4378,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4379,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 19.14/12.72 tff(4380,plain,
% 19.14/12.72 (v94(constB36) | (~v95(constB36)) | (~v104(constB36))),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4379, 358, 4317])).
% 19.14/12.72 tff(4381,plain,
% 19.14/12.72 (v94(constB36) | (~v104(constB36))),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4380, 4373])).
% 19.14/12.72 tff(4382,plain,
% 19.14/12.72 (v94(constB36)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4381, 4356])).
% 19.14/12.72 tff(4383,plain,
% 19.14/12.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4384,plain,
% 19.14/12.72 ((v84(constB36, bitIndex2) | (~v94(constB36)) | (~v123(constB36, bitIndex2))) <=> (v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4385,plain,
% 19.14/12.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v94(constB36)) | (~v123(constB36, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36))))),
% 19.14/12.72 inference(monotonicity,[status(thm)],[4384])).
% 19.14/12.72 tff(4386,plain,
% 19.14/12.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v94(constB36)) | (~v123(constB36, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36)))),
% 19.14/12.72 inference(transitivity,[status(thm)],[4385, 4383])).
% 19.14/12.72 tff(4387,plain,
% 19.14/12.72 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v94(constB36)) | (~v123(constB36, bitIndex2)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4388,plain,
% 19.14/12.72 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 19.14/12.72 tff(4389,plain,
% 19.14/12.72 (v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2))),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4388, 1303, 4382])).
% 19.14/12.72 tff(4390,plain,
% 19.14/12.72 (v84(constB36, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4389, 4322])).
% 19.14/12.72 tff(4391,plain,
% 19.14/12.72 ((~v1(constB37)) <=> (~v1(constB37))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4392,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 19.14/12.72 tff(4393,plain,
% 19.14/12.72 (~v1(constB37)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4392, 4391])).
% 19.14/12.72 tff(4394,plain,
% 19.14/12.72 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4395,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 19.14/12.72 tff(4396,plain,
% 19.14/12.72 (nextState(constB36, constB37)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4395, 4394])).
% 19.14/12.72 tff(4397,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4398,plain,
% 19.14/12.72 (((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4399,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37))))),
% 19.14/12.72 inference(monotonicity,[status(thm)],[4398])).
% 19.14/12.72 tff(4400,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 19.14/12.72 inference(transitivity,[status(thm)],[4399, 4397])).
% 19.14/12.72 tff(4401,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4402,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 19.14/12.72 tff(4403,plain,
% 19.14/12.72 (~v95(constB37)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4402, 89, 4396, 4393])).
% 19.14/12.72 tff(4404,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4405,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4406,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 19.14/12.72 tff(4407,plain,
% 19.14/12.72 (v95(constB37) | (~v94(constB37))),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4406, 106, 4396])).
% 19.14/12.72 tff(4408,plain,
% 19.14/12.72 (~v94(constB37)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4407, 4403])).
% 19.14/12.72 tff(4409,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4410,plain,
% 19.14/12.72 (((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2)) <=> ((~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4411,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2)))),
% 19.14/12.72 inference(monotonicity,[status(thm)],[4410])).
% 19.14/12.72 tff(4412,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2))),
% 19.14/12.72 inference(transitivity,[status(thm)],[4411, 4409])).
% 19.14/12.72 tff(4413,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4414,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 19.14/12.72 tff(4415,plain,
% 19.14/12.72 ((~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4414, 1339, 4396])).
% 19.14/12.72 tff(4416,plain,
% 19.14/12.72 ((~v84(constB36, bitIndex2)) | v84(constB37, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4415, 4408])).
% 19.14/12.72 tff(4417,plain,
% 19.14/12.72 (v84(constB37, bitIndex2)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4416, 4390])).
% 19.14/12.72 tff(4418,plain,
% 19.14/12.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB37, bitIndex2)) | (~v115(constB37)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB37, bitIndex2)) | (~v115(constB37)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4419,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB37, bitIndex2)) | (~v115(constB37)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4420,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB37, bitIndex2)) | (~v115(constB37))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4419, 4418])).
% 19.14/12.72 tff(4421,plain,
% 19.14/12.72 (~v115(constB37)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4420, 1965, 4417])).
% 19.14/12.72 tff(4422,plain,
% 19.14/12.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB37, bitIndex2)) | (~v116(constB37)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB37, bitIndex2)) | (~v116(constB37)))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4423,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB37, bitIndex2)) | (~v116(constB37)))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4424,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB37, bitIndex2)) | (~v116(constB37))),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4423, 4422])).
% 19.14/12.72 tff(4425,plain,
% 19.14/12.72 (~v116(constB37)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4424, 1976, 4417])).
% 19.14/12.72 tff(4426,plain,
% 19.14/12.72 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB35)) | v124(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB35)) | v124(constB35, bitIndex1))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4427,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB35)) | v124(constB35, bitIndex1))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4428,plain,
% 19.14/12.72 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB35)) | v124(constB35, bitIndex1)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4427, 4426])).
% 19.14/12.72 tff(4429,plain,
% 19.14/12.72 (v124(constB35, bitIndex1)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4428, 1809, 4305])).
% 19.14/12.72 tff(4430,plain,
% 19.14/12.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB35) | (~v124(constB35, bitIndex1)) | v121(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB35) | (~v124(constB35, bitIndex1)) | v121(constB35, bitIndex1))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4431,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB35) | (~v124(constB35, bitIndex1)) | v121(constB35, bitIndex1))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4432,plain,
% 19.14/12.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB35) | (~v124(constB35, bitIndex1)) | v121(constB35, bitIndex1)),
% 19.14/12.72 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 19.14/12.72 tff(4433,plain,
% 19.14/12.72 (v26(constB35) | v121(constB35, bitIndex1)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4432, 804, 4429])).
% 19.14/12.72 tff(4434,plain,
% 19.14/12.72 (v121(constB35, bitIndex1)),
% 19.14/12.72 inference(unit_resolution,[status(thm)],[4433, 37])).
% 19.14/12.72 tff(4435,plain,
% 19.14/12.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1))),
% 19.14/12.72 inference(rewrite,[status(thm)],[])).
% 19.14/12.72 tff(4436,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1))),
% 19.14/12.72 inference(quant_inst,[status(thm)],[])).
% 19.14/12.72 tff(4437,plain,
% 19.14/12.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1)),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4436, 4435])).
% 19.14/12.73 tff(4438,plain,
% 19.14/12.73 ((~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4437, 819, 4317])).
% 19.14/12.73 tff(4439,plain,
% 19.14/12.73 (v123(constB36, bitIndex1)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4438, 4434])).
% 19.14/12.73 tff(4440,plain,
% 19.14/12.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4441,plain,
% 19.14/12.73 ((v84(constB36, bitIndex1) | (~v94(constB36)) | (~v123(constB36, bitIndex1))) <=> (v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4442,plain,
% 19.14/12.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v94(constB36)) | (~v123(constB36, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36))))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4441])).
% 19.14/12.73 tff(4443,plain,
% 19.14/12.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v94(constB36)) | (~v123(constB36, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36)))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4442, 4440])).
% 19.14/12.73 tff(4444,plain,
% 19.14/12.73 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v94(constB36)) | (~v123(constB36, bitIndex1)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4445,plain,
% 19.14/12.73 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 19.14/12.73 tff(4446,plain,
% 19.14/12.73 (v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1))),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4445, 834, 4382])).
% 19.14/12.73 tff(4447,plain,
% 19.14/12.73 (v84(constB36, bitIndex1)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4446, 4439])).
% 19.14/12.73 tff(4448,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4449,plain,
% 19.14/12.73 (((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1)) <=> ((~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4450,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1)))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4449])).
% 19.14/12.73 tff(4451,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4450, 4448])).
% 19.14/12.73 tff(4452,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4453,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1)),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4452, 4451])).
% 19.14/12.73 tff(4454,plain,
% 19.14/12.73 ((~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4453, 852, 4396])).
% 19.14/12.73 tff(4455,plain,
% 19.14/12.73 ((~v84(constB36, bitIndex1)) | v84(constB37, bitIndex1)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4454, 4408])).
% 19.14/12.73 tff(4456,plain,
% 19.14/12.73 (v84(constB37, bitIndex1)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4455, 4447])).
% 19.14/12.73 tff(4457,plain,
% 19.14/12.73 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB37)) | (~v84(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB37)) | (~v84(constB37, bitIndex1)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4458,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB37)) | (~v84(constB37, bitIndex1)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4459,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB37)) | (~v84(constB37, bitIndex1))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4458, 4457])).
% 19.14/12.73 tff(4460,plain,
% 19.14/12.73 (~v113(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4459, 1990, 4456])).
% 19.14/12.73 tff(4461,plain,
% 19.14/12.73 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB37, bitIndex1)) | (~v118(constB37)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB37, bitIndex1)) | (~v118(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4462,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB37, bitIndex1)) | (~v118(constB37)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4463,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB37, bitIndex1)) | (~v118(constB37))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4462, 4461])).
% 19.14/12.73 tff(4464,plain,
% 19.14/12.73 (~v118(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4463, 2001, 4456])).
% 19.14/12.73 tff(4465,plain,
% 19.14/12.73 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB37, bitIndex1)) | (~v172(constB37)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB37, bitIndex1)) | (~v172(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4466,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB37, bitIndex1)) | (~v172(constB37)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4467,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB37, bitIndex1)) | (~v172(constB37))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4466, 4465])).
% 19.14/12.73 tff(4468,plain,
% 19.14/12.73 (~v172(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4467, 2023, 4456])).
% 19.14/12.73 tff(4469,plain,
% 19.14/12.73 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB37, bitIndex1)) | (~v145(constB37)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB37, bitIndex1)) | (~v145(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4470,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB37, bitIndex1)) | (~v145(constB37)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4471,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB37, bitIndex1)) | (~v145(constB37))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4470, 4469])).
% 19.14/12.73 tff(4472,plain,
% 19.14/12.73 (~v145(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4471, 2012, 4456])).
% 19.14/12.73 tff(4473,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4474,plain,
% 19.14/12.73 ((v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2))) <=> (v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4475,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2))))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4474])).
% 19.14/12.73 tff(4476,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4475, 4473])).
% 19.14/12.73 tff(4477,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4478,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4477, 4476])).
% 19.14/12.73 tff(4479,plain,
% 19.14/12.73 (~v124(constB37, bitIndex2)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4478, 2037, 4472, 4468, 4464, 4460, 4425, 4421])).
% 19.14/12.73 tff(4480,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4481,plain,
% 19.14/12.73 ((v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2))) <=> ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4482,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2)))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4481])).
% 19.14/12.73 tff(4483,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4482, 4480])).
% 19.14/12.73 tff(4484,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4485,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2)),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 19.14/12.73 tff(4486,plain,
% 19.14/12.73 ((~v121(constB37, bitIndex2)) | v26(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4485, 391, 4479])).
% 19.14/12.73 tff(4487,plain,
% 19.14/12.73 (~v121(constB37, bitIndex2)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4486, 33])).
% 19.14/12.73 tff(4488,plain,
% 19.14/12.73 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4489,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 19.14/12.73 tff(4490,plain,
% 19.14/12.73 (nextState(constB37, constB38)),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4489, 4488])).
% 19.14/12.73 tff(4491,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4492,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4493,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4492, 4491])).
% 19.14/12.73 tff(4494,plain,
% 19.14/12.73 (v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2))),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4493, 409, 4490])).
% 19.14/12.73 tff(4495,plain,
% 19.14/12.73 (~v123(constB38, bitIndex2)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4494, 4487])).
% 19.14/12.73 tff(4496,assumption,(~v102(constB37)), introduced(assumption)).
% 19.14/12.73 tff(4497,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB37) | (~v106(constB37)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB37) | (~v106(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4498,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB37) | (~v106(constB37)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4499,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB37) | (~v106(constB37))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4498, 4497])).
% 19.14/12.73 tff(4500,plain,
% 19.14/12.73 (~v106(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4499, 276, 4496])).
% 19.14/12.73 tff(4501,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB37) | (~v26(constB37)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB37) | (~v26(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4502,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB37) | (~v26(constB37)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4503,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB37) | (~v26(constB37))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 19.14/12.73 tff(4504,plain,
% 19.14/12.73 (~v26(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4503, 670, 4496])).
% 19.14/12.73 tff(4505,plain,
% 19.14/12.73 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB35)) | (~v124(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB35)) | (~v124(constB35, bitIndex0)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4506,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB35)) | (~v124(constB35, bitIndex0)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4507,plain,
% 19.14/12.73 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB35)) | (~v124(constB35, bitIndex0))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 19.14/12.73 tff(4508,plain,
% 19.14/12.73 (~v124(constB35, bitIndex0)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4507, 1850, 4305])).
% 19.14/12.73 tff(4509,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4510,plain,
% 19.14/12.73 ((v26(constB35) | v124(constB35, bitIndex0) | (~v121(constB35, bitIndex0))) <=> ((~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4511,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB35) | v124(constB35, bitIndex0) | (~v121(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0)))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4510])).
% 19.14/12.73 tff(4512,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB35) | v124(constB35, bitIndex0) | (~v121(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4511, 4509])).
% 19.14/12.73 tff(4513,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB35) | v124(constB35, bitIndex0) | (~v121(constB35, bitIndex0)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4514,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0)),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 19.14/12.73 tff(4515,plain,
% 19.14/12.73 ((~v121(constB35, bitIndex0)) | v26(constB35)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4514, 885, 4508])).
% 19.14/12.73 tff(4516,plain,
% 19.14/12.73 (~v121(constB35, bitIndex0)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4515, 37])).
% 19.14/12.73 tff(4517,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4518,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4519,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 19.14/12.73 tff(4520,plain,
% 19.14/12.73 (v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0))),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4519, 903, 4317])).
% 19.14/12.73 tff(4521,plain,
% 19.14/12.73 (~v123(constB36, bitIndex0)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4520, 4516])).
% 19.14/12.73 tff(4522,plain,
% 19.14/12.73 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4523,plain,
% 19.14/12.73 (((~v84(constB36, bitIndex0)) | (~v94(constB36)) | v123(constB36, bitIndex0)) <=> ((~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4524,plain,
% 19.14/12.73 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~v94(constB36)) | v123(constB36, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36))))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4523])).
% 19.14/12.73 tff(4525,plain,
% 19.14/12.73 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~v94(constB36)) | v123(constB36, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36)))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4524, 4522])).
% 19.14/12.73 tff(4526,plain,
% 19.14/12.73 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~v94(constB36)) | v123(constB36, bitIndex0))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4527,plain,
% 19.14/12.73 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 19.14/12.73 tff(4528,plain,
% 19.14/12.73 ((~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4527, 918, 4382])).
% 19.14/12.73 tff(4529,plain,
% 19.14/12.73 (~v84(constB36, bitIndex0)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4528, 4521])).
% 19.14/12.73 tff(4530,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4531,plain,
% 19.14/12.73 (((~nextState(constB36, constB37)) | v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0))) <=> (v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4532,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0))))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4531])).
% 19.14/12.73 tff(4533,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0)))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4532, 4530])).
% 19.14/12.73 tff(4534,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4535,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4534, 4533])).
% 19.14/12.73 tff(4536,plain,
% 19.14/12.73 (v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0))),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4535, 163, 4396])).
% 19.14/12.73 tff(4537,plain,
% 19.14/12.73 (v84(constB36, bitIndex0) | (~v84(constB37, bitIndex0))),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4536, 4408])).
% 19.14/12.73 tff(4538,plain,
% 19.14/12.73 (~v84(constB37, bitIndex0)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4537, 4529])).
% 19.14/12.73 tff(4539,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4540,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4541,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37)),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4540, 4539])).
% 19.14/12.73 tff(4542,plain,
% 19.14/12.73 (v119(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4541, 1894, 4538, 4456, 4417])).
% 19.14/12.73 tff(4543,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB37) | (~v119(constB37)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB37) | (~v119(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4544,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB37) | (~v119(constB37)))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4545,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB37) | (~v119(constB37))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 19.14/12.73 tff(4546,plain,
% 19.14/12.73 (v107(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4545, 1905, 4542])).
% 19.14/12.73 tff(4547,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | v106(constB37) | (~v107(constB37)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4548,plain,
% 19.14/12.73 ((v26(constB37) | (~v107(constB37)) | v106(constB37)) <=> (v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4549,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | v106(constB37) | (~v107(constB37))))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4548])).
% 19.14/12.73 tff(4550,plain,
% 19.14/12.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4549, 4547])).
% 19.14/12.73 tff(4551,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4552,plain,
% 19.14/12.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37))),
% 19.14/12.73 inference(modus_ponens,[status(thm)],[4551, 4550])).
% 19.14/12.73 tff(4553,plain,
% 19.14/12.73 (v26(constB37) | v106(constB37)),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4552, 264, 4546])).
% 19.14/12.73 tff(4554,plain,
% 19.14/12.73 ($false),
% 19.14/12.73 inference(unit_resolution,[status(thm)],[4553, 4504, 4500])).
% 19.14/12.73 tff(4555,plain,(v102(constB37)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.73 tff(4556,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4557,plain,
% 19.14/12.73 (((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38)) <=> ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 19.14/12.73 inference(rewrite,[status(thm)],[])).
% 19.14/12.73 tff(4558,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37))))),
% 19.14/12.73 inference(monotonicity,[status(thm)],[4557])).
% 19.14/12.73 tff(4559,plain,
% 19.14/12.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 19.14/12.73 inference(transitivity,[status(thm)],[4558, 4556])).
% 19.14/12.73 tff(4560,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))),
% 19.14/12.73 inference(quant_inst,[status(thm)],[])).
% 19.14/12.73 tff(4561,plain,
% 19.14/12.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 19.14/12.74 tff(4562,plain,
% 19.14/12.74 (v104(constB38) | (~v102(constB37))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4561, 293, 4490])).
% 19.14/12.74 tff(4563,plain,
% 19.14/12.74 (v104(constB38)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4562, 4555])).
% 19.14/12.74 tff(4564,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4565,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4566,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 19.14/12.74 tff(4567,plain,
% 19.14/12.74 (~v98(constB38)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4566, 311, 4490, 4393])).
% 19.14/12.74 tff(4568,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4569,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4570,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB37, constB38)) | v96(constB38) | v98(constB38)),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4569, 4568])).
% 19.14/12.74 tff(4571,plain,
% 19.14/12.74 (v96(constB38) | v98(constB38)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4570, 325, 4490])).
% 19.14/12.74 tff(4572,plain,
% 19.14/12.74 (v96(constB38)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4571, 4567])).
% 19.14/12.74 tff(4573,plain,
% 19.14/12.74 (v1(constB38) <=> v1(constB38)),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4574,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 19.14/12.74 tff(4575,plain,
% 19.14/12.74 (v1(constB38)),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4574, 4573])).
% 19.14/12.74 tff(4576,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4577,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4578,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 19.14/12.74 tff(4579,plain,
% 19.14/12.74 (v95(constB38) | (~v96(constB38))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4578, 343, 4490, 4575])).
% 19.14/12.74 tff(4580,plain,
% 19.14/12.74 (v95(constB38)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4579, 4572])).
% 19.14/12.74 tff(4581,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4582,plain,
% 19.14/12.74 (((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38)) <=> ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4583,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38))))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4582])).
% 19.14/12.74 tff(4584,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4583, 4581])).
% 19.14/12.74 tff(4585,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4586,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 19.14/12.74 tff(4587,plain,
% 19.14/12.74 (v94(constB38) | (~v95(constB38)) | (~v104(constB38))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4586, 358, 4490])).
% 19.14/12.74 tff(4588,plain,
% 19.14/12.74 (v94(constB38) | (~v104(constB38))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4587, 4580])).
% 19.14/12.74 tff(4589,plain,
% 19.14/12.74 (v94(constB38)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4588, 4563])).
% 19.14/12.74 tff(4590,plain,
% 19.14/12.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4591,plain,
% 19.14/12.74 (((~v84(constB38, bitIndex2)) | (~v94(constB38)) | v123(constB38, bitIndex2)) <=> ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4592,plain,
% 19.14/12.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | (~v94(constB38)) | v123(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38))))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4591])).
% 19.14/12.74 tff(4593,plain,
% 19.14/12.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | (~v94(constB38)) | v123(constB38, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4592, 4590])).
% 19.14/12.74 tff(4594,plain,
% 19.14/12.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB38, bitIndex2)) | (~v94(constB38)) | v123(constB38, bitIndex2))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4595,plain,
% 19.14/12.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4594, 4593])).
% 19.14/12.74 tff(4596,plain,
% 19.14/12.74 ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4595, 424, 4589])).
% 19.14/12.74 tff(4597,plain,
% 19.14/12.74 (~v84(constB38, bitIndex2)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4596, 4495])).
% 19.14/12.74 tff(4598,plain,
% 19.14/12.74 ((~v1(constB39)) <=> (~v1(constB39))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4599,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 19.14/12.74 tff(4600,plain,
% 19.14/12.74 (~v1(constB39)),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 19.14/12.74 tff(4601,plain,
% 19.14/12.74 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4602,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 19.14/12.74 tff(4603,plain,
% 19.14/12.74 (nextState(constB38, constB39)),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4602, 4601])).
% 19.14/12.74 tff(4604,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4605,plain,
% 19.14/12.74 (((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4606,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39))))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4605])).
% 19.14/12.74 tff(4607,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4606, 4604])).
% 19.14/12.74 tff(4608,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4609,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 19.14/12.74 tff(4610,plain,
% 19.14/12.74 (~v95(constB39)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4609, 89, 4603, 4600])).
% 19.14/12.74 tff(4611,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4612,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4613,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4612, 4611])).
% 19.14/12.74 tff(4614,plain,
% 19.14/12.74 (v95(constB39) | (~v94(constB39))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4613, 106, 4603])).
% 19.14/12.74 tff(4615,plain,
% 19.14/12.74 (~v94(constB39)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4614, 4610])).
% 19.14/12.74 tff(4616,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4617,plain,
% 19.14/12.74 (((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2))) <=> (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4618,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2))))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4617])).
% 19.14/12.74 tff(4619,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4618, 4616])).
% 19.14/12.74 tff(4620,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4621,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 19.14/12.74 tff(4622,plain,
% 19.14/12.74 (v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4621, 121, 4603])).
% 19.14/12.74 tff(4623,plain,
% 19.14/12.74 (v84(constB38, bitIndex2) | (~v84(constB39, bitIndex2))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4622, 4615])).
% 19.14/12.74 tff(4624,plain,
% 19.14/12.74 (~v84(constB39, bitIndex2)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4623, 4597])).
% 19.14/12.74 tff(4625,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB37) | (~v124(constB37, bitIndex1)) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB37) | (~v124(constB37, bitIndex1)) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4626,plain,
% 19.14/12.74 ((v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex1))) <=> (v145(constB37) | (~v124(constB37, bitIndex1)) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4627,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB37) | (~v124(constB37, bitIndex1)) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37)))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4626])).
% 19.14/12.74 tff(4628,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB37) | (~v124(constB37, bitIndex1)) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4627, 4625])).
% 19.14/12.74 tff(4629,plain,
% 19.14/12.74 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex1)))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4630,plain,
% 19.14/12.74 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB37) | (~v124(constB37, bitIndex1)) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37)),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4629, 4628])).
% 19.14/12.74 tff(4631,plain,
% 19.14/12.74 (~v124(constB37, bitIndex1)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4630, 2102, 4472, 4468, 4464, 4460, 4425, 4421])).
% 19.14/12.74 tff(4632,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4633,plain,
% 19.14/12.74 ((v26(constB37) | v124(constB37, bitIndex1) | (~v121(constB37, bitIndex1))) <=> ((~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4634,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB37) | v124(constB37, bitIndex1) | (~v121(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1)))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4633])).
% 19.14/12.74 tff(4635,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB37) | v124(constB37, bitIndex1) | (~v121(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4634, 4632])).
% 19.14/12.74 tff(4636,plain,
% 19.14/12.74 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB37) | v124(constB37, bitIndex1) | (~v121(constB37, bitIndex1)))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4637,plain,
% 19.14/12.74 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1)),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4636, 4635])).
% 19.14/12.74 tff(4638,plain,
% 19.14/12.74 ((~v121(constB37, bitIndex1)) | v26(constB37)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4637, 483, 4631])).
% 19.14/12.74 tff(4639,plain,
% 19.14/12.74 (~v121(constB37, bitIndex1)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4638, 33])).
% 19.14/12.74 tff(4640,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4641,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1)))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4642,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 19.14/12.74 tff(4643,plain,
% 19.14/12.74 (v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4642, 501, 4490])).
% 19.14/12.74 tff(4644,plain,
% 19.14/12.74 (~v123(constB38, bitIndex1)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4643, 4639])).
% 19.14/12.74 tff(4645,plain,
% 19.14/12.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4646,plain,
% 19.14/12.74 (((~v84(constB38, bitIndex1)) | (~v94(constB38)) | v123(constB38, bitIndex1)) <=> ((~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4647,plain,
% 19.14/12.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~v94(constB38)) | v123(constB38, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38))))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4646])).
% 19.14/12.74 tff(4648,plain,
% 19.14/12.74 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~v94(constB38)) | v123(constB38, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38)))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4647, 4645])).
% 19.14/12.74 tff(4649,plain,
% 19.14/12.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~v94(constB38)) | v123(constB38, bitIndex1))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4650,plain,
% 19.14/12.74 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4649, 4648])).
% 19.14/12.74 tff(4651,plain,
% 19.14/12.74 ((~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4650, 516, 4589])).
% 19.14/12.74 tff(4652,plain,
% 19.14/12.74 (~v84(constB38, bitIndex1)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4651, 4644])).
% 19.14/12.74 tff(4653,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4654,plain,
% 19.14/12.74 (((~nextState(constB38, constB39)) | v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1))) <=> (v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1)))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4655,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1))))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4654])).
% 19.14/12.74 tff(4656,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1)))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4655, 4653])).
% 19.14/12.74 tff(4657,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1)))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4658,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1))),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4657, 4656])).
% 19.14/12.74 tff(4659,plain,
% 19.14/12.74 (v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4658, 142, 4603])).
% 19.14/12.74 tff(4660,plain,
% 19.14/12.74 (v84(constB38, bitIndex1) | (~v84(constB39, bitIndex1))),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4659, 4615])).
% 19.14/12.74 tff(4661,plain,
% 19.14/12.74 (~v84(constB39, bitIndex1)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4660, 4652])).
% 19.14/12.74 tff(4662,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4663,plain,
% 19.14/12.74 ((v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0)) <=> (v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4664,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0)))),
% 19.14/12.74 inference(monotonicity,[status(thm)],[4663])).
% 19.14/12.74 tff(4665,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))),
% 19.14/12.74 inference(transitivity,[status(thm)],[4664, 4662])).
% 19.14/12.74 tff(4666,plain,
% 19.14/12.74 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4667,plain,
% 19.14/12.74 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB37) | v113(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0)),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 19.14/12.74 tff(4668,plain,
% 19.14/12.74 (v124(constB37, bitIndex0)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4667, 2149, 4472, 4468, 4464, 4460, 4425, 4421])).
% 19.14/12.74 tff(4669,plain,
% 19.14/12.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB37) | (~v124(constB37, bitIndex0)) | v121(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB37) | (~v124(constB37, bitIndex0)) | v121(constB37, bitIndex0))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4670,plain,
% 19.14/12.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB37) | (~v124(constB37, bitIndex0)) | v121(constB37, bitIndex0))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4671,plain,
% 19.14/12.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB37) | (~v124(constB37, bitIndex0)) | v121(constB37, bitIndex0)),
% 19.14/12.74 inference(modus_ponens,[status(thm)],[4670, 4669])).
% 19.14/12.74 tff(4672,plain,
% 19.14/12.74 (v26(constB37) | v121(constB37, bitIndex0)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4671, 557, 4668])).
% 19.14/12.74 tff(4673,plain,
% 19.14/12.74 (v121(constB37, bitIndex0)),
% 19.14/12.74 inference(unit_resolution,[status(thm)],[4672, 33])).
% 19.14/12.74 tff(4674,plain,
% 19.14/12.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0))),
% 19.14/12.74 inference(rewrite,[status(thm)],[])).
% 19.14/12.74 tff(4675,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0))),
% 19.14/12.74 inference(quant_inst,[status(thm)],[])).
% 19.14/12.74 tff(4676,plain,
% 19.14/12.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 19.14/12.75 tff(4677,plain,
% 19.14/12.75 ((~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4676, 572, 4490])).
% 19.14/12.75 tff(4678,plain,
% 19.14/12.75 (v123(constB38, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4677, 4673])).
% 19.14/12.75 tff(4679,plain,
% 19.14/12.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4680,plain,
% 19.14/12.75 ((v84(constB38, bitIndex0) | (~v94(constB38)) | (~v123(constB38, bitIndex0))) <=> (v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4681,plain,
% 19.14/12.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v94(constB38)) | (~v123(constB38, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38))))),
% 19.14/12.75 inference(monotonicity,[status(thm)],[4680])).
% 19.14/12.75 tff(4682,plain,
% 19.14/12.75 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v94(constB38)) | (~v123(constB38, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38)))),
% 19.14/12.75 inference(transitivity,[status(thm)],[4681, 4679])).
% 19.14/12.75 tff(4683,plain,
% 19.14/12.75 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v94(constB38)) | (~v123(constB38, bitIndex0)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4684,plain,
% 19.14/12.75 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 19.14/12.75 tff(4685,plain,
% 19.14/12.75 (v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0))),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4684, 587, 4589])).
% 19.14/12.75 tff(4686,plain,
% 19.14/12.75 (v84(constB38, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4685, 4678])).
% 19.14/12.75 tff(4687,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4688,plain,
% 19.14/12.75 (((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0)) <=> ((~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4689,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0)))),
% 19.14/12.75 inference(monotonicity,[status(thm)],[4688])).
% 19.14/12.75 tff(4690,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0))),
% 19.14/12.75 inference(transitivity,[status(thm)],[4689, 4687])).
% 19.14/12.75 tff(4691,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4692,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4691, 4690])).
% 19.14/12.75 tff(4693,plain,
% 19.14/12.75 ((~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4692, 605, 4603])).
% 19.14/12.75 tff(4694,plain,
% 19.14/12.75 ((~v84(constB38, bitIndex0)) | v84(constB39, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4693, 4615])).
% 19.14/12.75 tff(4695,plain,
% 19.14/12.75 (v84(constB39, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4694, 4686])).
% 19.14/12.75 tff(4696,plain,
% 19.14/12.75 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | v145(constB39))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | v145(constB39))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4697,plain,
% 19.14/12.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | v145(constB39))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4698,plain,
% 19.14/12.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | v145(constB39)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4697, 4696])).
% 19.14/12.75 tff(4699,plain,
% 19.14/12.75 (v145(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4698, 624, 4695, 4661, 4624])).
% 19.14/12.75 tff(4700,plain,
% 19.14/12.75 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB39)) | v124(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB39)) | v124(constB39, bitIndex1))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4701,plain,
% 19.14/12.75 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB39)) | v124(constB39, bitIndex1))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4702,plain,
% 19.14/12.75 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB39)) | v124(constB39, bitIndex1)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4701, 4700])).
% 19.14/12.75 tff(4703,plain,
% 19.14/12.75 (v124(constB39, bitIndex1)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4702, 790, 4699])).
% 19.14/12.75 tff(4704,assumption,(v26(constB39)), introduced(assumption)).
% 19.14/12.75 tff(4705,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4706,plain,
% 19.14/12.75 ($false),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4705, 18, 4704])).
% 19.14/12.75 tff(4707,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.75 tff(4708,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4709,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4710,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4709, 4708])).
% 19.14/12.75 tff(4711,plain,
% 19.14/12.75 ((~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4710, 804, 4707])).
% 19.14/12.75 tff(4712,plain,
% 19.14/12.75 (v121(constB39, bitIndex1)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4711, 4703])).
% 19.14/12.75 tff(4713,plain,
% 19.14/12.75 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4714,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 19.14/12.75 tff(4715,plain,
% 19.14/12.75 (nextState(constB39, constB40)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 19.14/12.75 tff(4716,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4717,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4718,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4717, 4716])).
% 19.14/12.75 tff(4719,plain,
% 19.14/12.75 ((~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4718, 819, 4715])).
% 19.14/12.75 tff(4720,plain,
% 19.14/12.75 (v123(constB40, bitIndex1)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4719, 4712])).
% 19.14/12.75 tff(4721,assumption,(v145(constB39)), introduced(assumption)).
% 19.14/12.75 tff(4722,plain,
% 19.14/12.75 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB39)) | (~v124(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB39)) | (~v124(constB39, bitIndex0)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4723,plain,
% 19.14/12.75 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB39)) | (~v124(constB39, bitIndex0)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4724,plain,
% 19.14/12.75 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB39)) | (~v124(constB39, bitIndex0))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 19.14/12.75 tff(4725,plain,
% 19.14/12.75 (~v124(constB39, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4724, 871, 4721])).
% 19.14/12.75 tff(4726,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4727,plain,
% 19.14/12.75 ((v26(constB39) | v124(constB39, bitIndex0) | (~v121(constB39, bitIndex0))) <=> ((~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4728,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB39) | v124(constB39, bitIndex0) | (~v121(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0)))),
% 19.14/12.75 inference(monotonicity,[status(thm)],[4727])).
% 19.14/12.75 tff(4729,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB39) | v124(constB39, bitIndex0) | (~v121(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0))),
% 19.14/12.75 inference(transitivity,[status(thm)],[4728, 4726])).
% 19.14/12.75 tff(4730,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB39) | v124(constB39, bitIndex0) | (~v121(constB39, bitIndex0)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4731,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 19.14/12.75 tff(4732,plain,
% 19.14/12.75 ((~v121(constB39, bitIndex0)) | v124(constB39, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4731, 885, 4707])).
% 19.14/12.75 tff(4733,plain,
% 19.14/12.75 (~v121(constB39, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4732, 4725])).
% 19.14/12.75 tff(4734,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4735,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4736,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 19.14/12.75 tff(4737,plain,
% 19.14/12.75 (v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0))),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4736, 903, 4715])).
% 19.14/12.75 tff(4738,plain,
% 19.14/12.75 (~v123(constB40, bitIndex0)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4737, 4733])).
% 19.14/12.75 tff(4739,assumption,(v84(constB40, bitIndex0)), introduced(assumption)).
% 19.14/12.75 tff(4740,plain,
% 19.14/12.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4741,plain,
% 19.14/12.75 (((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0)) <=> ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4742,plain,
% 19.14/12.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40))))),
% 19.14/12.75 inference(monotonicity,[status(thm)],[4741])).
% 19.14/12.75 tff(4743,plain,
% 19.14/12.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 19.14/12.75 inference(transitivity,[status(thm)],[4742, 4740])).
% 19.14/12.75 tff(4744,plain,
% 19.14/12.75 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4745,plain,
% 19.14/12.75 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 19.14/12.75 tff(4746,plain,
% 19.14/12.75 (v123(constB40, bitIndex0) | (~v94(constB40))),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4745, 918, 4739])).
% 19.14/12.75 tff(4747,plain,
% 19.14/12.75 (~v94(constB40)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4746, 4738])).
% 19.14/12.75 tff(4748,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4749,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4750,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 19.14/12.75 tff(4751,plain,
% 19.14/12.75 (~v98(constB40)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4750, 311, 4715, 4600])).
% 19.14/12.75 tff(4752,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4753,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4754,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB39, constB40)) | v96(constB40) | v98(constB40)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 19.14/12.75 tff(4755,plain,
% 19.14/12.75 (v96(constB40) | v98(constB40)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4754, 325, 4715])).
% 19.14/12.75 tff(4756,plain,
% 19.14/12.75 (v96(constB40)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4755, 4751])).
% 19.14/12.75 tff(4757,plain,
% 19.14/12.75 (v1(constB40) <=> v1(constB40)),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4758,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 19.14/12.75 tff(4759,plain,
% 19.14/12.75 (v1(constB40)),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 19.14/12.75 tff(4760,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4761,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4762,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4761, 4760])).
% 19.14/12.75 tff(4763,plain,
% 19.14/12.75 (v95(constB40) | (~v96(constB40))),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4762, 343, 4715, 4759])).
% 19.14/12.75 tff(4764,plain,
% 19.14/12.75 (v95(constB40)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4763, 4756])).
% 19.14/12.75 tff(4765,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4766,plain,
% 19.14/12.75 (((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40)) <=> ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4767,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40))))),
% 19.14/12.75 inference(monotonicity,[status(thm)],[4766])).
% 19.14/12.75 tff(4768,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 19.14/12.75 inference(transitivity,[status(thm)],[4767, 4765])).
% 19.14/12.75 tff(4769,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4770,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 19.14/12.75 tff(4771,plain,
% 19.14/12.75 (v94(constB40) | (~v95(constB40)) | (~v104(constB40))),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4770, 358, 4715])).
% 19.14/12.75 tff(4772,plain,
% 19.14/12.75 (v94(constB40) | (~v104(constB40))),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4771, 4764])).
% 19.14/12.75 tff(4773,plain,
% 19.14/12.75 (~v104(constB40)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4772, 4747])).
% 19.14/12.75 tff(4774,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4775,plain,
% 19.14/12.75 (((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40)) <=> ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4776,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39))))),
% 19.14/12.75 inference(monotonicity,[status(thm)],[4775])).
% 19.14/12.75 tff(4777,plain,
% 19.14/12.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 19.14/12.75 inference(transitivity,[status(thm)],[4776, 4774])).
% 19.14/12.75 tff(4778,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4779,plain,
% 19.14/12.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 19.14/12.75 tff(4780,plain,
% 19.14/12.75 (v104(constB40) | (~v102(constB39))),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4779, 293, 4715])).
% 19.14/12.75 tff(4781,plain,
% 19.14/12.75 (~v102(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4780, 4773])).
% 19.14/12.75 tff(4782,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB39) | (~v106(constB39)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB39) | (~v106(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4783,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB39) | (~v106(constB39)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4784,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB39) | (~v106(constB39))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 19.14/12.75 tff(4785,plain,
% 19.14/12.75 (~v106(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4784, 276, 4781])).
% 19.14/12.75 tff(4786,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | v106(constB39) | (~v107(constB39)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4787,plain,
% 19.14/12.75 ((v26(constB39) | (~v107(constB39)) | v106(constB39)) <=> (v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4788,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | v106(constB39) | (~v107(constB39))))),
% 19.14/12.75 inference(monotonicity,[status(thm)],[4787])).
% 19.14/12.75 tff(4789,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 19.14/12.75 inference(transitivity,[status(thm)],[4788, 4786])).
% 19.14/12.75 tff(4790,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4791,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4790, 4789])).
% 19.14/12.75 tff(4792,plain,
% 19.14/12.75 (v106(constB39) | (~v107(constB39))),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4791, 264, 4707])).
% 19.14/12.75 tff(4793,plain,
% 19.14/12.75 (~v107(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4792, 4785])).
% 19.14/12.75 tff(4794,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB39) | (~v108(constB39)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB39) | (~v108(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4795,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB39) | (~v108(constB39)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4796,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB39) | (~v108(constB39))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 19.14/12.75 tff(4797,plain,
% 19.14/12.75 (~v108(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4796, 250, 4793])).
% 19.14/12.75 tff(4798,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB39) | (~v145(constB39)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB39) | (~v145(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4799,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB39) | (~v145(constB39)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4800,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB39) | (~v145(constB39))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4799, 4798])).
% 19.14/12.75 tff(4801,plain,
% 19.14/12.75 (v112(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4800, 681, 4721])).
% 19.14/12.75 tff(4802,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB39) | (~v112(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4803,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB39) | (~v112(constB39)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4804,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB39) | (~v112(constB39))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4803, 4802])).
% 19.14/12.75 tff(4805,plain,
% 19.14/12.75 (v111(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4804, 206, 4801])).
% 19.14/12.75 tff(4806,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB39) | (~v111(constB39)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB39) | (~v111(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4807,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB39) | (~v111(constB39)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4808,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB39) | (~v111(constB39))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4807, 4806])).
% 19.14/12.75 tff(4809,plain,
% 19.14/12.75 (v110(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4808, 217, 4805])).
% 19.14/12.75 tff(4810,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB39) | (~v110(constB39)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB39) | (~v110(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4811,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB39) | (~v110(constB39)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4812,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB39) | (~v110(constB39))),
% 19.14/12.75 inference(modus_ponens,[status(thm)],[4811, 4810])).
% 19.14/12.75 tff(4813,plain,
% 19.14/12.75 (v109(constB39)),
% 19.14/12.75 inference(unit_resolution,[status(thm)],[4812, 228, 4809])).
% 19.14/12.75 tff(4814,plain,
% 19.14/12.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB39) | (~v109(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB39) | (~v109(constB39)))),
% 19.14/12.75 inference(rewrite,[status(thm)],[])).
% 19.14/12.75 tff(4815,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB39) | (~v109(constB39)))),
% 19.14/12.75 inference(quant_inst,[status(thm)],[])).
% 19.14/12.75 tff(4816,plain,
% 19.14/12.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB39) | (~v109(constB39))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4815, 4814])).
% 19.14/12.76 tff(4817,plain,
% 19.14/12.76 ($false),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4816, 239, 4813, 4797])).
% 19.14/12.76 tff(4818,plain,((~v145(constB39)) | (~v84(constB40, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 19.14/12.76 tff(4819,plain,
% 19.14/12.76 (~v84(constB40, bitIndex0)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4818, 4699])).
% 19.14/12.76 tff(4820,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v94(constB40) | v84(constB40, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v94(constB40) | v84(constB40, bitIndex0))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4821,plain,
% 19.14/12.76 (((~nextState(constB39, constB40)) | (~v84(constB39, bitIndex0)) | v94(constB40) | v84(constB40, bitIndex0)) <=> ((~v84(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v94(constB40) | v84(constB40, bitIndex0))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4822,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v84(constB39, bitIndex0)) | v94(constB40) | v84(constB40, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v94(constB40) | v84(constB40, bitIndex0)))),
% 19.14/12.76 inference(monotonicity,[status(thm)],[4821])).
% 19.14/12.76 tff(4823,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v84(constB39, bitIndex0)) | v94(constB40) | v84(constB40, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v94(constB40) | v84(constB40, bitIndex0))),
% 19.14/12.76 inference(transitivity,[status(thm)],[4822, 4820])).
% 19.14/12.76 tff(4824,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v84(constB39, bitIndex0)) | v94(constB40) | v84(constB40, bitIndex0))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4825,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB39, bitIndex0)) | (~nextState(constB39, constB40)) | v94(constB40) | v84(constB40, bitIndex0)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4824, 4823])).
% 19.14/12.76 tff(4826,plain,
% 19.14/12.76 ((~v84(constB39, bitIndex0)) | v94(constB40) | v84(constB40, bitIndex0)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4825, 605, 4715])).
% 19.14/12.76 tff(4827,plain,
% 19.14/12.76 (v94(constB40)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4826, 4819, 4695])).
% 19.14/12.76 tff(4828,plain,
% 19.14/12.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4829,plain,
% 19.14/12.76 ((v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1))) <=> (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4830,plain,
% 19.14/12.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40))))),
% 19.14/12.76 inference(monotonicity,[status(thm)],[4829])).
% 19.14/12.76 tff(4831,plain,
% 19.14/12.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 19.14/12.76 inference(transitivity,[status(thm)],[4830, 4828])).
% 19.14/12.76 tff(4832,plain,
% 19.14/12.76 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4833,plain,
% 19.14/12.76 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 19.14/12.76 tff(4834,plain,
% 19.14/12.76 (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1))),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4833, 834, 4827])).
% 19.14/12.76 tff(4835,plain,
% 19.14/12.76 (v84(constB40, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4834, 4720])).
% 19.14/12.76 tff(4836,plain,
% 19.14/12.76 ((~v1(constB41)) <=> (~v1(constB41))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4837,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 19.14/12.76 tff(4838,plain,
% 19.14/12.76 (~v1(constB41)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4837, 4836])).
% 19.14/12.76 tff(4839,plain,
% 19.14/12.76 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4840,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 19.14/12.76 tff(4841,plain,
% 19.14/12.76 (nextState(constB40, constB41)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4840, 4839])).
% 19.14/12.76 tff(4842,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4843,plain,
% 19.14/12.76 (((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4844,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41))))),
% 19.14/12.76 inference(monotonicity,[status(thm)],[4843])).
% 19.14/12.76 tff(4845,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 19.14/12.76 inference(transitivity,[status(thm)],[4844, 4842])).
% 19.14/12.76 tff(4846,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4847,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4846, 4845])).
% 19.14/12.76 tff(4848,plain,
% 19.14/12.76 (~v95(constB41)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4847, 89, 4841, 4838])).
% 19.14/12.76 tff(4849,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4850,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4851,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4850, 4849])).
% 19.14/12.76 tff(4852,plain,
% 19.14/12.76 (v95(constB41) | (~v94(constB41))),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4851, 106, 4841])).
% 19.14/12.76 tff(4853,plain,
% 19.14/12.76 (~v94(constB41)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4852, 4848])).
% 19.14/12.76 tff(4854,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4855,plain,
% 19.14/12.76 (((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1)) <=> ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4856,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1)))),
% 19.14/12.76 inference(monotonicity,[status(thm)],[4855])).
% 19.14/12.76 tff(4857,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 19.14/12.76 inference(transitivity,[status(thm)],[4856, 4854])).
% 19.14/12.76 tff(4858,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4859,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4858, 4857])).
% 19.14/12.76 tff(4860,plain,
% 19.14/12.76 ((~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4859, 852, 4841])).
% 19.14/12.76 tff(4861,plain,
% 19.14/12.76 ((~v84(constB40, bitIndex1)) | v84(constB41, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4860, 4853])).
% 19.14/12.76 tff(4862,plain,
% 19.14/12.76 (v84(constB41, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4861, 4835])).
% 19.14/12.76 tff(4863,plain,
% 19.14/12.76 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB39)) | (~v124(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB39)) | (~v124(constB39, bitIndex2)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4864,plain,
% 19.14/12.76 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB39)) | (~v124(constB39, bitIndex2)))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4865,plain,
% 19.14/12.76 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB39)) | (~v124(constB39, bitIndex2))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4864, 4863])).
% 19.14/12.76 tff(4866,plain,
% 19.14/12.76 (~v124(constB39, bitIndex2)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4865, 638, 4699])).
% 19.14/12.76 tff(4867,plain,
% 19.14/12.76 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4868,plain,
% 19.14/12.76 ((v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2))) <=> ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4869,plain,
% 19.14/12.76 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2)))),
% 19.14/12.76 inference(monotonicity,[status(thm)],[4868])).
% 19.14/12.76 tff(4870,plain,
% 19.14/12.76 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 19.14/12.76 inference(transitivity,[status(thm)],[4869, 4867])).
% 19.14/12.76 tff(4871,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4872,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4871, 4870])).
% 19.14/12.76 tff(4873,plain,
% 19.14/12.76 ((~v121(constB39, bitIndex2)) | v124(constB39, bitIndex2)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4872, 391, 4707])).
% 19.14/12.76 tff(4874,plain,
% 19.14/12.76 (~v121(constB39, bitIndex2)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4873, 4866])).
% 19.14/12.76 tff(4875,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4876,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4877,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4876, 4875])).
% 19.14/12.76 tff(4878,plain,
% 19.14/12.76 (v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2))),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4877, 409, 4715])).
% 19.14/12.76 tff(4879,plain,
% 19.14/12.76 (~v123(constB40, bitIndex2)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4878, 4874])).
% 19.14/12.76 tff(4880,plain,
% 19.14/12.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4881,plain,
% 19.14/12.76 (((~v84(constB40, bitIndex2)) | (~v94(constB40)) | v123(constB40, bitIndex2)) <=> ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4882,plain,
% 19.14/12.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | (~v94(constB40)) | v123(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40))))),
% 19.14/12.76 inference(monotonicity,[status(thm)],[4881])).
% 19.14/12.76 tff(4883,plain,
% 19.14/12.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | (~v94(constB40)) | v123(constB40, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 19.14/12.76 inference(transitivity,[status(thm)],[4882, 4880])).
% 19.14/12.76 tff(4884,plain,
% 19.14/12.76 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB40, bitIndex2)) | (~v94(constB40)) | v123(constB40, bitIndex2))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4885,plain,
% 19.14/12.76 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4884, 4883])).
% 19.14/12.76 tff(4886,plain,
% 19.14/12.76 ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4885, 424, 4827])).
% 19.14/12.76 tff(4887,plain,
% 19.14/12.76 (~v84(constB40, bitIndex2)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4886, 4879])).
% 19.14/12.76 tff(4888,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4889,plain,
% 19.14/12.76 (((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2))) <=> (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4890,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2))))),
% 19.14/12.76 inference(monotonicity,[status(thm)],[4889])).
% 19.14/12.76 tff(4891,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 19.14/12.76 inference(transitivity,[status(thm)],[4890, 4888])).
% 19.14/12.76 tff(4892,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4893,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4892, 4891])).
% 19.14/12.76 tff(4894,plain,
% 19.14/12.76 (v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2))),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4893, 121, 4841])).
% 19.14/12.76 tff(4895,plain,
% 19.14/12.76 (v84(constB40, bitIndex2) | (~v84(constB41, bitIndex2))),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4894, 4853])).
% 19.14/12.76 tff(4896,plain,
% 19.14/12.76 (~v84(constB41, bitIndex2)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4895, 4887])).
% 19.14/12.76 tff(4897,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4898,plain,
% 19.14/12.76 (((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0))) <=> (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4899,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0))))),
% 19.14/12.76 inference(monotonicity,[status(thm)],[4898])).
% 19.14/12.76 tff(4900,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 19.14/12.76 inference(transitivity,[status(thm)],[4899, 4897])).
% 19.14/12.76 tff(4901,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4902,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 19.14/12.76 tff(4903,plain,
% 19.14/12.76 (v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0))),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4902, 163, 4841])).
% 19.14/12.76 tff(4904,plain,
% 19.14/12.76 (v84(constB40, bitIndex0) | (~v84(constB41, bitIndex0))),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4903, 4853])).
% 19.14/12.76 tff(4905,plain,
% 19.14/12.76 (~v84(constB41, bitIndex0)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4904, 4819])).
% 19.14/12.76 tff(4906,plain,
% 19.14/12.76 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4907,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4908,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 19.14/12.76 tff(4909,plain,
% 19.14/12.76 ((~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4908, 945, 4905])).
% 19.14/12.76 tff(4910,plain,
% 19.14/12.76 (v115(constB41)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4909, 4896, 4862])).
% 19.14/12.76 tff(4911,plain,
% 19.14/12.76 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB41)) | v124(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB41)) | v124(constB41, bitIndex1))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4912,plain,
% 19.14/12.76 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB41)) | v124(constB41, bitIndex1))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4913,plain,
% 19.14/12.76 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB41)) | v124(constB41, bitIndex1)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 19.14/12.76 tff(4914,plain,
% 19.14/12.76 (v124(constB41, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4913, 1094, 4910])).
% 19.14/12.76 tff(4915,assumption,(v26(constB41)), introduced(assumption)).
% 19.14/12.76 tff(4916,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4917,plain,
% 19.14/12.76 ($false),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4916, 18, 4915])).
% 19.14/12.76 tff(4918,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.76 tff(4919,plain,
% 19.14/12.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB41) | (~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB41) | (~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4920,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB41) | (~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4921,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB41) | (~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4920, 4919])).
% 19.14/12.76 tff(4922,plain,
% 19.14/12.76 ((~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4921, 804, 4918])).
% 19.14/12.76 tff(4923,plain,
% 19.14/12.76 (v121(constB41, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4922, 4914])).
% 19.14/12.76 tff(4924,plain,
% 19.14/12.76 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4925,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 19.14/12.76 tff(4926,plain,
% 19.14/12.76 (nextState(constB41, constB42)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 19.14/12.76 tff(4927,plain,
% 19.14/12.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4928,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4929,plain,
% 19.14/12.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1)),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 19.14/12.76 tff(4930,plain,
% 19.14/12.76 ((~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4929, 819, 4926])).
% 19.14/12.76 tff(4931,plain,
% 19.14/12.76 (v123(constB42, bitIndex1)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4930, 4923])).
% 19.14/12.76 tff(4932,assumption,(~v84(constB41, bitIndex0)), introduced(assumption)).
% 19.14/12.76 tff(4933,plain,
% 19.14/12.76 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v116(VarCurr))))),
% 19.14/12.76 inference(bind,[status(th)],[])).
% 19.14/12.76 tff(4934,plain,
% 19.14/12.76 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 19.14/12.76 inference(quant_intro,[status(thm)],[4933])).
% 19.14/12.76 tff(4935,plain,
% 19.14/12.76 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4936,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 19.14/12.76 tff(4937,plain,
% 19.14/12.76 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4936, 4935])).
% 19.14/12.76 tff(4938,plain,(
% 19.14/12.76 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 19.14/12.76 inference(skolemize,[status(sab)],[4937])).
% 19.14/12.76 tff(4939,plain,
% 19.14/12.76 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4938, 4934])).
% 19.14/12.76 tff(4940,plain,
% 19.14/12.76 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB41, bitIndex0) | (~v116(constB41)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB41, bitIndex0) | (~v116(constB41)))),
% 19.14/12.76 inference(rewrite,[status(thm)],[])).
% 19.14/12.76 tff(4941,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB41, bitIndex0) | (~v116(constB41)))),
% 19.14/12.76 inference(quant_inst,[status(thm)],[])).
% 19.14/12.76 tff(4942,plain,
% 19.14/12.76 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB41, bitIndex0) | (~v116(constB41))),
% 19.14/12.76 inference(modus_ponens,[status(thm)],[4941, 4940])).
% 19.14/12.76 tff(4943,plain,
% 19.14/12.76 (~v116(constB41)),
% 19.14/12.76 inference(unit_resolution,[status(thm)],[4942, 4939, 4932])).
% 19.14/12.76 tff(4944,assumption,(~v84(constB42, bitIndex0)), introduced(assumption)).
% 19.14/12.76 tff(4945,plain,
% 19.14/12.76 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v145(VarCurr))))),
% 19.14/12.76 inference(bind,[status(th)],[])).
% 19.14/12.77 tff(4946,plain,
% 19.14/12.77 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 19.14/12.77 inference(quant_intro,[status(thm)],[4945])).
% 19.14/12.77 tff(4947,plain,
% 19.14/12.77 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4948,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 19.14/12.77 tff(4949,plain,
% 19.14/12.77 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 19.14/12.77 tff(4950,plain,(
% 19.14/12.77 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 19.14/12.77 inference(skolemize,[status(sab)],[4949])).
% 19.14/12.77 tff(4951,plain,
% 19.14/12.77 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4950, 4946])).
% 19.14/12.77 tff(4952,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB41, bitIndex0) | (~v145(constB41)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB41, bitIndex0) | (~v145(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4953,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB41, bitIndex0) | (~v145(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(4954,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB41, bitIndex0) | (~v145(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 19.14/12.77 tff(4955,plain,
% 19.14/12.77 (~v145(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4954, 4951, 4932])).
% 19.14/12.77 tff(4956,plain,
% 19.14/12.77 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v118(VarCurr))))),
% 19.14/12.77 inference(bind,[status(th)],[])).
% 19.14/12.77 tff(4957,plain,
% 19.14/12.77 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 19.14/12.77 inference(quant_intro,[status(thm)],[4956])).
% 19.14/12.77 tff(4958,plain,
% 19.14/12.77 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4959,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 19.14/12.77 tff(4960,plain,
% 19.14/12.77 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4959, 4958])).
% 19.14/12.77 tff(4961,plain,(
% 19.14/12.77 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 19.14/12.77 inference(skolemize,[status(sab)],[4960])).
% 19.14/12.77 tff(4962,plain,
% 19.14/12.77 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4961, 4957])).
% 19.14/12.77 tff(4963,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB41, bitIndex0) | (~v118(constB41)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB41, bitIndex0) | (~v118(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4964,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB41, bitIndex0) | (~v118(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(4965,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB41, bitIndex0) | (~v118(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4964, 4963])).
% 19.14/12.77 tff(4966,plain,
% 19.14/12.77 (~v118(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4965, 4962, 4932])).
% 19.14/12.77 tff(4967,assumption,(~v145(constB41)), introduced(assumption)).
% 19.14/12.77 tff(4968,assumption,(~v116(constB41)), introduced(assumption)).
% 19.14/12.77 tff(4969,assumption,(~v118(constB41)), introduced(assumption)).
% 19.14/12.77 tff(4970,assumption,(~v109(constB41)), introduced(assumption)).
% 19.14/12.77 tff(4971,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB41) | (~v110(constB41)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB41) | (~v110(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4972,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB41) | (~v110(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(4973,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB41) | (~v110(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4972, 4971])).
% 19.14/12.77 tff(4974,plain,
% 19.14/12.77 (~v110(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4973, 228, 4970])).
% 19.14/12.77 tff(4975,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB41) | (~v111(constB41)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB41) | (~v111(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4976,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB41) | (~v111(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(4977,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB41) | (~v111(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 19.14/12.77 tff(4978,plain,
% 19.14/12.77 (~v111(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4977, 217, 4974])).
% 19.14/12.77 tff(4979,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB41) | (~v112(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4980,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB41) | (~v112(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(4981,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB41) | (~v112(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4980, 4979])).
% 19.14/12.77 tff(4982,plain,
% 19.14/12.77 (~v112(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4981, 206, 4978])).
% 19.14/12.77 tff(4983,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB41) | (~v115(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4984,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB41) | (~v115(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(4985,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB41) | (~v115(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 19.14/12.77 tff(4986,plain,
% 19.14/12.77 (~v115(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4985, 956, 4978])).
% 19.14/12.77 tff(4987,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB41) | (~v172(constB41)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB41) | (~v172(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4988,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB41) | (~v172(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(4989,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB41) | (~v172(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 19.14/12.77 tff(4990,plain,
% 19.14/12.77 (~v172(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4989, 1457, 4970])).
% 19.14/12.77 tff(4991,assumption,(v123(constB42, bitIndex0)), introduced(assumption)).
% 19.14/12.77 tff(4992,plain,
% 19.14/12.77 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4993,plain,
% 19.14/12.77 ((v84(constB42, bitIndex0) | (~v94(constB42)) | (~v123(constB42, bitIndex0))) <=> (v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(4994,plain,
% 19.14/12.77 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v94(constB42)) | (~v123(constB42, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42))))),
% 19.14/12.77 inference(monotonicity,[status(thm)],[4993])).
% 19.14/12.77 tff(4995,plain,
% 19.14/12.77 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v94(constB42)) | (~v123(constB42, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42)))),
% 19.14/12.77 inference(transitivity,[status(thm)],[4994, 4992])).
% 19.14/12.77 tff(4996,plain,
% 19.14/12.77 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v94(constB42)) | (~v123(constB42, bitIndex0)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(4997,plain,
% 19.14/12.77 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[4996, 4995])).
% 19.14/12.77 tff(4998,plain,
% 19.14/12.77 (v84(constB42, bitIndex0) | (~v94(constB42))),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4997, 587, 4991])).
% 19.14/12.77 tff(4999,plain,
% 19.14/12.77 (~v94(constB42)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4998, 4944])).
% 19.14/12.77 tff(5000,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5001,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5002,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5001, 5000])).
% 19.14/12.77 tff(5003,plain,
% 19.14/12.77 (~v98(constB42)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5002, 311, 4926, 4838])).
% 19.14/12.77 tff(5004,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5005,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5006,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB41, constB42)) | v96(constB42) | v98(constB42)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5005, 5004])).
% 19.14/12.77 tff(5007,plain,
% 19.14/12.77 (v96(constB42) | v98(constB42)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5006, 325, 4926])).
% 19.14/12.77 tff(5008,plain,
% 19.14/12.77 (v96(constB42)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5007, 5003])).
% 19.14/12.77 tff(5009,plain,
% 19.14/12.77 (v1(constB42) <=> v1(constB42)),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5010,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 19.14/12.77 tff(5011,plain,
% 19.14/12.77 (v1(constB42)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 19.14/12.77 tff(5012,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5013,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5014,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 19.14/12.77 tff(5015,plain,
% 19.14/12.77 (v95(constB42) | (~v96(constB42))),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5014, 343, 4926, 5011])).
% 19.14/12.77 tff(5016,plain,
% 19.14/12.77 (v95(constB42)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5015, 5008])).
% 19.14/12.77 tff(5017,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5018,plain,
% 19.14/12.77 (((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42)) <=> ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5019,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42))))),
% 19.14/12.77 inference(monotonicity,[status(thm)],[5018])).
% 19.14/12.77 tff(5020,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 19.14/12.77 inference(transitivity,[status(thm)],[5019, 5017])).
% 19.14/12.77 tff(5021,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5022,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 19.14/12.77 tff(5023,plain,
% 19.14/12.77 (v94(constB42) | (~v95(constB42)) | (~v104(constB42))),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5022, 358, 4926])).
% 19.14/12.77 tff(5024,plain,
% 19.14/12.77 (v94(constB42) | (~v104(constB42))),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5023, 5016])).
% 19.14/12.77 tff(5025,plain,
% 19.14/12.77 (~v104(constB42)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5024, 4999])).
% 19.14/12.77 tff(5026,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5027,plain,
% 19.14/12.77 (((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42)) <=> ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5028,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41))))),
% 19.14/12.77 inference(monotonicity,[status(thm)],[5027])).
% 19.14/12.77 tff(5029,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 19.14/12.77 inference(transitivity,[status(thm)],[5028, 5026])).
% 19.14/12.77 tff(5030,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5031,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5030, 5029])).
% 19.14/12.77 tff(5032,plain,
% 19.14/12.77 (v104(constB42) | (~v102(constB41))),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5031, 293, 4926])).
% 19.14/12.77 tff(5033,plain,
% 19.14/12.77 (~v102(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5032, 5025])).
% 19.14/12.77 tff(5034,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB41) | (~v106(constB41)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB41) | (~v106(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5035,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB41) | (~v106(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5036,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB41) | (~v106(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 19.14/12.77 tff(5037,plain,
% 19.14/12.77 (~v106(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5036, 276, 5033])).
% 19.14/12.77 tff(5038,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | (~v107(constB41)) | v106(constB41))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5039,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5040,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | (~v107(constB41)) | v106(constB41)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 19.14/12.77 tff(5041,plain,
% 19.14/12.77 ((~v107(constB41)) | v106(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5040, 264, 4918])).
% 19.14/12.77 tff(5042,plain,
% 19.14/12.77 (~v107(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5041, 5037])).
% 19.14/12.77 tff(5043,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB41) | (~v119(constB41)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB41) | (~v119(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5044,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB41) | (~v119(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5045,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB41) | (~v119(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 19.14/12.77 tff(5046,plain,
% 19.14/12.77 (~v119(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5045, 1905, 5042])).
% 19.14/12.77 tff(5047,assumption,(~v172(constB41)), introduced(assumption)).
% 19.14/12.77 tff(5048,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB41, bitIndex0)) | (~nextState(constB41, constB42)) | v94(constB42) | v84(constB42, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB41, bitIndex0)) | (~nextState(constB41, constB42)) | v94(constB42) | v84(constB42, bitIndex0))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5049,plain,
% 19.14/12.77 (((~nextState(constB41, constB42)) | (~v84(constB41, bitIndex0)) | v94(constB42) | v84(constB42, bitIndex0)) <=> ((~v84(constB41, bitIndex0)) | (~nextState(constB41, constB42)) | v94(constB42) | v84(constB42, bitIndex0))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5050,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v84(constB41, bitIndex0)) | v94(constB42) | v84(constB42, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB41, bitIndex0)) | (~nextState(constB41, constB42)) | v94(constB42) | v84(constB42, bitIndex0)))),
% 19.14/12.77 inference(monotonicity,[status(thm)],[5049])).
% 19.14/12.77 tff(5051,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v84(constB41, bitIndex0)) | v94(constB42) | v84(constB42, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB41, bitIndex0)) | (~nextState(constB41, constB42)) | v94(constB42) | v84(constB42, bitIndex0))),
% 19.14/12.77 inference(transitivity,[status(thm)],[5050, 5048])).
% 19.14/12.77 tff(5052,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v84(constB41, bitIndex0)) | v94(constB42) | v84(constB42, bitIndex0))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5053,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB41, bitIndex0)) | (~nextState(constB41, constB42)) | v94(constB42) | v84(constB42, bitIndex0)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 19.14/12.77 tff(5054,plain,
% 19.14/12.77 ((~v84(constB41, bitIndex0)) | v94(constB42) | v84(constB42, bitIndex0)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5053, 605, 4926])).
% 19.14/12.77 tff(5055,plain,
% 19.14/12.77 (~v84(constB41, bitIndex0)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5054, 4999, 4944])).
% 19.14/12.77 tff(5056,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB41) | (~v108(constB41)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB41) | (~v108(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5057,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB41) | (~v108(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5058,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB41) | (~v108(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 19.14/12.77 tff(5059,plain,
% 19.14/12.77 (~v108(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5058, 250, 5042])).
% 19.14/12.77 tff(5060,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB41) | (~v109(constB41)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB41) | (~v109(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5061,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB41) | (~v109(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5062,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB41) | (~v109(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 19.14/12.77 tff(5063,plain,
% 19.14/12.77 (~v109(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5062, 239, 5059])).
% 19.14/12.77 tff(5064,plain,
% 19.14/12.77 (~v110(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4973, 228, 5063])).
% 19.14/12.77 tff(5065,plain,
% 19.14/12.77 (~v111(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4977, 217, 5064])).
% 19.14/12.77 tff(5066,plain,
% 19.14/12.77 (~v112(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4981, 206, 5065])).
% 19.14/12.77 tff(5067,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB41) | (~v113(constB41)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB41) | (~v113(constB41)))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5068,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB41) | (~v113(constB41)))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5069,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB41) | (~v113(constB41))),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 19.14/12.77 tff(5070,plain,
% 19.14/12.77 (~v113(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5069, 195, 5066])).
% 19.14/12.77 tff(5071,assumption,(~v113(constB41)), introduced(assumption)).
% 19.14/12.77 tff(5072,assumption,(~v84(constB41, bitIndex1)), introduced(assumption)).
% 19.14/12.77 tff(5073,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex2)) | v172(constB41))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex2)) | v172(constB41))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5074,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex2)) | v172(constB41))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5075,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex2)) | v172(constB41)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5074, 5073])).
% 19.14/12.77 tff(5076,plain,
% 19.14/12.77 (v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex2))),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5075, 1446, 5047])).
% 19.14/12.77 tff(5077,plain,
% 19.14/12.77 (~v84(constB41, bitIndex2)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5076, 5072, 4932])).
% 19.14/12.77 tff(5078,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB41) | v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | v84(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB41) | v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | v84(constB41, bitIndex2))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5079,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB41) | v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | v84(constB41, bitIndex2))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5080,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB41) | v84(constB41, bitIndex0) | v84(constB41, bitIndex1) | v84(constB41, bitIndex2)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 19.14/12.77 tff(5081,plain,
% 19.14/12.77 (v113(constB41) | v84(constB41, bitIndex1) | v84(constB41, bitIndex2)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5080, 184, 4932])).
% 19.14/12.77 tff(5082,plain,
% 19.14/12.77 ($false),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5081, 5077, 5072, 5071])).
% 19.14/12.77 tff(5083,plain,(v84(constB41, bitIndex1) | v113(constB41) | v84(constB41, bitIndex0) | v172(constB41)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.77 tff(5084,plain,
% 19.14/12.77 (v84(constB41, bitIndex1)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5083, 5070, 5055, 5047])).
% 19.14/12.77 tff(5085,assumption,(~v115(constB41)), introduced(assumption)).
% 19.14/12.77 tff(5086,plain,
% 19.14/12.77 (v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[4908, 945, 5085])).
% 19.14/12.77 tff(5087,plain,
% 19.14/12.77 (v84(constB41, bitIndex2)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5086, 5084, 5055])).
% 19.14/12.77 tff(5088,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | (~v84(constB41, bitIndex2)) | v119(constB41))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | (~v84(constB41, bitIndex2)) | v119(constB41))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5089,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | (~v84(constB41, bitIndex2)) | v119(constB41))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5090,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | (~v84(constB41, bitIndex2)) | v119(constB41)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5089, 5088])).
% 19.14/12.77 tff(5091,plain,
% 19.14/12.77 ((~v84(constB41, bitIndex1)) | (~v84(constB41, bitIndex2)) | v119(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5090, 1894, 5055])).
% 19.14/12.77 tff(5092,plain,
% 19.14/12.77 ($false),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5091, 5087, 5084, 5046])).
% 19.14/12.77 tff(5093,plain,(v84(constB42, bitIndex0) | v115(constB41) | v172(constB41) | (~v123(constB42, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 19.14/12.77 tff(5094,plain,
% 19.14/12.77 (~v123(constB42, bitIndex0)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5093, 4986, 4944, 4990])).
% 19.14/12.77 tff(5095,plain,
% 19.14/12.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5096,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5097,plain,
% 19.14/12.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 19.14/12.77 tff(5098,plain,
% 19.14/12.77 ((~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5097, 572, 4926])).
% 19.14/12.77 tff(5099,plain,
% 19.14/12.77 (~v121(constB41, bitIndex0)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5098, 5094])).
% 19.14/12.77 tff(5100,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB41) | (~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB41) | (~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5101,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB41) | (~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5102,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB41) | (~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5101, 5100])).
% 19.14/12.77 tff(5103,plain,
% 19.14/12.77 ((~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5102, 557, 4918])).
% 19.14/12.77 tff(5104,plain,
% 19.14/12.77 (~v124(constB41, bitIndex0)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5103, 5099])).
% 19.14/12.77 tff(5105,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | v124(constB41, bitIndex0))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5106,plain,
% 19.14/12.77 ((v113(constB41) | v145(constB41) | v115(constB41) | v116(constB41) | v172(constB41) | v118(constB41) | v124(constB41, bitIndex0)) <=> (v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | v124(constB41, bitIndex0))),
% 19.14/12.77 inference(rewrite,[status(thm)],[])).
% 19.14/12.77 tff(5107,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB41) | v145(constB41) | v115(constB41) | v116(constB41) | v172(constB41) | v118(constB41) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | v124(constB41, bitIndex0)))),
% 19.14/12.77 inference(monotonicity,[status(thm)],[5106])).
% 19.14/12.77 tff(5108,plain,
% 19.14/12.77 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB41) | v145(constB41) | v115(constB41) | v116(constB41) | v172(constB41) | v118(constB41) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | v124(constB41, bitIndex0))),
% 19.14/12.77 inference(transitivity,[status(thm)],[5107, 5105])).
% 19.14/12.77 tff(5109,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB41) | v145(constB41) | v115(constB41) | v116(constB41) | v172(constB41) | v118(constB41) | v124(constB41, bitIndex0))),
% 19.14/12.77 inference(quant_inst,[status(thm)],[])).
% 19.14/12.77 tff(5110,plain,
% 19.14/12.77 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v115(constB41) | v113(constB41) | v124(constB41, bitIndex0)),
% 19.14/12.77 inference(modus_ponens,[status(thm)],[5109, 5108])).
% 19.14/12.77 tff(5111,plain,
% 19.14/12.77 (v172(constB41) | v115(constB41) | v113(constB41) | v124(constB41, bitIndex0)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5110, 2149, 4967, 4969, 4968])).
% 19.14/12.77 tff(5112,plain,
% 19.14/12.77 (v113(constB41)),
% 19.14/12.77 inference(unit_resolution,[status(thm)],[5111, 5104, 4990, 4986])).
% 19.14/12.77 tff(5113,plain,
% 19.14/12.78 ($false),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5069, 195, 5112, 4982])).
% 19.14/12.78 tff(5114,plain,(v109(constB41) | v145(constB41) | v118(constB41) | v116(constB41) | v84(constB42, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.78 tff(5115,plain,
% 19.14/12.78 (v109(constB41)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5114, 4944, 4969, 4968, 4967])).
% 19.14/12.78 tff(5116,plain,
% 19.14/12.78 (v108(constB41)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5062, 239, 5115])).
% 19.14/12.78 tff(5117,assumption,(~v124(constB41, bitIndex0)), introduced(assumption)).
% 19.14/12.78 tff(5118,plain,
% 19.14/12.78 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB41)) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB41)) | v124(constB41, bitIndex0))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5119,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB41)) | v124(constB41, bitIndex0))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5120,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB41)) | v124(constB41, bitIndex0)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 19.14/12.78 tff(5121,plain,
% 19.14/12.78 (~v115(constB41)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5120, 1135, 5117])).
% 19.14/12.78 tff(5122,plain,
% 19.14/12.78 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB41)) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB41)) | v124(constB41, bitIndex0))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5123,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB41)) | v124(constB41, bitIndex0))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5124,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB41)) | v124(constB41, bitIndex0)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 19.14/12.78 tff(5125,plain,
% 19.14/12.78 (~v172(constB41)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5124, 1631, 5117])).
% 19.14/12.78 tff(5126,plain,
% 19.14/12.78 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB41)) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB41)) | v124(constB41, bitIndex0))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5127,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB41)) | v124(constB41, bitIndex0))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5128,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB41)) | v124(constB41, bitIndex0)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 19.14/12.78 tff(5129,plain,
% 19.14/12.78 (~v113(constB41)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5128, 543, 5117])).
% 19.14/12.78 tff(5130,plain,
% 19.14/12.78 ($false),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5111, 5129, 5125, 5117, 5121])).
% 19.14/12.78 tff(5131,plain,(v124(constB41, bitIndex0) | v145(constB41) | v118(constB41) | v116(constB41)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.78 tff(5132,plain,
% 19.14/12.78 (v124(constB41, bitIndex0)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5131, 4967, 4969, 4968])).
% 19.14/12.78 tff(5133,plain,
% 19.14/12.78 (v121(constB41, bitIndex0)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5103, 5132])).
% 19.14/12.78 tff(5134,plain,
% 19.14/12.78 (v123(constB42, bitIndex0)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5098, 5133])).
% 19.14/12.78 tff(5135,plain,
% 19.14/12.78 (v84(constB42, bitIndex0) | (~v94(constB42))),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[4997, 587, 5134])).
% 19.14/12.78 tff(5136,plain,
% 19.14/12.78 (~v94(constB42)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5135, 4944])).
% 19.14/12.78 tff(5137,plain,
% 19.14/12.78 (~v104(constB42)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5024, 5136])).
% 19.14/12.78 tff(5138,plain,
% 19.14/12.78 (~v102(constB41)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5032, 5137])).
% 19.14/12.78 tff(5139,plain,
% 19.14/12.78 (~v106(constB41)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5036, 276, 5138])).
% 19.14/12.78 tff(5140,plain,
% 19.14/12.78 (~v107(constB41)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5041, 5139])).
% 19.14/12.78 tff(5141,plain,
% 19.14/12.78 ($false),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5058, 250, 5140, 5116])).
% 19.14/12.78 tff(5142,plain,(v84(constB42, bitIndex0) | v118(constB41) | v116(constB41) | v145(constB41)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.78 tff(5143,plain,
% 19.14/12.78 ($false),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5142, 4966, 4955, 4944, 4943])).
% 19.14/12.78 tff(5144,plain,(v84(constB41, bitIndex0) | v84(constB42, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.78 tff(5145,plain,
% 19.14/12.78 (v84(constB42, bitIndex0)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5144, 4905])).
% 19.14/12.78 tff(5146,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v94(constB42) | (~v84(constB42, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v94(constB42) | (~v84(constB42, bitIndex0)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5147,plain,
% 19.14/12.78 (((~nextState(constB41, constB42)) | v84(constB41, bitIndex0) | v94(constB42) | (~v84(constB42, bitIndex0))) <=> (v84(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v94(constB42) | (~v84(constB42, bitIndex0)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5148,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v84(constB41, bitIndex0) | v94(constB42) | (~v84(constB42, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v94(constB42) | (~v84(constB42, bitIndex0))))),
% 19.14/12.78 inference(monotonicity,[status(thm)],[5147])).
% 19.14/12.78 tff(5149,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v84(constB41, bitIndex0) | v94(constB42) | (~v84(constB42, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v94(constB42) | (~v84(constB42, bitIndex0)))),
% 19.14/12.78 inference(transitivity,[status(thm)],[5148, 5146])).
% 19.14/12.78 tff(5150,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v84(constB41, bitIndex0) | v94(constB42) | (~v84(constB42, bitIndex0)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5151,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB41, bitIndex0) | (~nextState(constB41, constB42)) | v94(constB42) | (~v84(constB42, bitIndex0))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5150, 5149])).
% 19.14/12.78 tff(5152,plain,
% 19.14/12.78 (v84(constB41, bitIndex0) | v94(constB42) | (~v84(constB42, bitIndex0))),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5151, 163, 4926])).
% 19.14/12.78 tff(5153,plain,
% 19.14/12.78 (v94(constB42)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5152, 4905, 5145])).
% 19.14/12.78 tff(5154,plain,
% 19.14/12.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5155,plain,
% 19.14/12.78 ((v84(constB42, bitIndex1) | (~v94(constB42)) | (~v123(constB42, bitIndex1))) <=> (v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5156,plain,
% 19.14/12.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v94(constB42)) | (~v123(constB42, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42))))),
% 19.14/12.78 inference(monotonicity,[status(thm)],[5155])).
% 19.14/12.78 tff(5157,plain,
% 19.14/12.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v94(constB42)) | (~v123(constB42, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42)))),
% 19.14/12.78 inference(transitivity,[status(thm)],[5156, 5154])).
% 19.14/12.78 tff(5158,plain,
% 19.14/12.78 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v94(constB42)) | (~v123(constB42, bitIndex1)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5159,plain,
% 19.14/12.78 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5158, 5157])).
% 19.14/12.78 tff(5160,plain,
% 19.14/12.78 (v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1))),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5159, 834, 5153])).
% 19.14/12.78 tff(5161,plain,
% 19.14/12.78 (v84(constB42, bitIndex1)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5160, 4931])).
% 19.14/12.78 tff(5162,plain,
% 19.14/12.78 ((~v1(constB43)) <=> (~v1(constB43))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5163,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 19.14/12.78 tff(5164,plain,
% 19.14/12.78 (~v1(constB43)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 19.14/12.78 tff(5165,plain,
% 19.14/12.78 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5166,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 19.14/12.78 tff(5167,plain,
% 19.14/12.78 (nextState(constB42, constB43)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5166, 5165])).
% 19.14/12.78 tff(5168,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5169,plain,
% 19.14/12.78 (((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5170,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43))))),
% 19.14/12.78 inference(monotonicity,[status(thm)],[5169])).
% 19.14/12.78 tff(5171,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 19.14/12.78 inference(transitivity,[status(thm)],[5170, 5168])).
% 19.14/12.78 tff(5172,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5173,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 19.14/12.78 tff(5174,plain,
% 19.14/12.78 (~v95(constB43)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5173, 89, 5167, 5164])).
% 19.14/12.78 tff(5175,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5176,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5177,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 19.14/12.78 tff(5178,plain,
% 19.14/12.78 (v95(constB43) | (~v94(constB43))),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5177, 106, 5167])).
% 19.14/12.78 tff(5179,plain,
% 19.14/12.78 (~v94(constB43)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5178, 5174])).
% 19.14/12.78 tff(5180,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5181,plain,
% 19.14/12.78 (((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1)) <=> ((~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5182,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1)))),
% 19.14/12.78 inference(monotonicity,[status(thm)],[5181])).
% 19.14/12.78 tff(5183,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1))),
% 19.14/12.78 inference(transitivity,[status(thm)],[5182, 5180])).
% 19.14/12.78 tff(5184,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5185,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 19.14/12.78 tff(5186,plain,
% 19.14/12.78 ((~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5185, 852, 5167])).
% 19.14/12.78 tff(5187,plain,
% 19.14/12.78 ((~v84(constB42, bitIndex1)) | v84(constB43, bitIndex1)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5186, 5179])).
% 19.14/12.78 tff(5188,plain,
% 19.14/12.78 (v84(constB43, bitIndex1)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5187, 5161])).
% 19.14/12.78 tff(5189,plain,
% 19.14/12.78 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB41)) | (~v124(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB41)) | (~v124(constB41, bitIndex2)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5190,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB41)) | (~v124(constB41, bitIndex2)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5191,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB41)) | (~v124(constB41, bitIndex2))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 19.14/12.78 tff(5192,plain,
% 19.14/12.78 (~v124(constB41, bitIndex2)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5191, 1032, 4910])).
% 19.14/12.78 tff(5193,plain,
% 19.14/12.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5194,plain,
% 19.14/12.78 ((v26(constB41) | v124(constB41, bitIndex2) | (~v121(constB41, bitIndex2))) <=> ((~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5195,plain,
% 19.14/12.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB41) | v124(constB41, bitIndex2) | (~v121(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2)))),
% 19.14/12.78 inference(monotonicity,[status(thm)],[5194])).
% 19.14/12.78 tff(5196,plain,
% 19.14/12.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB41) | v124(constB41, bitIndex2) | (~v121(constB41, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2))),
% 19.14/12.78 inference(transitivity,[status(thm)],[5195, 5193])).
% 19.14/12.78 tff(5197,plain,
% 19.14/12.78 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB41) | v124(constB41, bitIndex2) | (~v121(constB41, bitIndex2)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5198,plain,
% 19.14/12.78 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5197, 5196])).
% 19.14/12.78 tff(5199,plain,
% 19.14/12.78 ((~v121(constB41, bitIndex2)) | v124(constB41, bitIndex2)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5198, 391, 4918])).
% 19.14/12.78 tff(5200,plain,
% 19.14/12.78 (~v121(constB41, bitIndex2)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5199, 5192])).
% 19.14/12.78 tff(5201,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5202,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5203,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5202, 5201])).
% 19.14/12.78 tff(5204,plain,
% 19.14/12.78 (v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2))),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5203, 409, 4926])).
% 19.14/12.78 tff(5205,plain,
% 19.14/12.78 (~v123(constB42, bitIndex2)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5204, 5200])).
% 19.14/12.78 tff(5206,plain,
% 19.14/12.78 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5207,plain,
% 19.14/12.78 (((~v84(constB42, bitIndex2)) | (~v94(constB42)) | v123(constB42, bitIndex2)) <=> ((~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5208,plain,
% 19.14/12.78 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | (~v94(constB42)) | v123(constB42, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42))))),
% 19.14/12.78 inference(monotonicity,[status(thm)],[5207])).
% 19.14/12.78 tff(5209,plain,
% 19.14/12.78 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | (~v94(constB42)) | v123(constB42, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42)))),
% 19.14/12.78 inference(transitivity,[status(thm)],[5208, 5206])).
% 19.14/12.78 tff(5210,plain,
% 19.14/12.78 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB42, bitIndex2)) | (~v94(constB42)) | v123(constB42, bitIndex2))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5211,plain,
% 19.14/12.78 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5210, 5209])).
% 19.14/12.78 tff(5212,plain,
% 19.14/12.78 ((~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5211, 424, 5153])).
% 19.14/12.78 tff(5213,plain,
% 19.14/12.78 (~v84(constB42, bitIndex2)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5212, 5205])).
% 19.14/12.78 tff(5214,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5215,plain,
% 19.14/12.78 (((~nextState(constB42, constB43)) | v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2))) <=> (v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5216,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2))))),
% 19.14/12.78 inference(monotonicity,[status(thm)],[5215])).
% 19.14/12.78 tff(5217,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2)))),
% 19.14/12.78 inference(transitivity,[status(thm)],[5216, 5214])).
% 19.14/12.78 tff(5218,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5219,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 19.14/12.78 tff(5220,plain,
% 19.14/12.78 (v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2))),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5219, 121, 5167])).
% 19.14/12.78 tff(5221,plain,
% 19.14/12.78 (v84(constB42, bitIndex2) | (~v84(constB43, bitIndex2))),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5220, 5179])).
% 19.14/12.78 tff(5222,plain,
% 19.14/12.78 (~v84(constB43, bitIndex2)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5221, 5213])).
% 19.14/12.78 tff(5223,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5224,plain,
% 19.14/12.78 (((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0)) <=> ((~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5225,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0)))),
% 19.14/12.78 inference(monotonicity,[status(thm)],[5224])).
% 19.14/12.78 tff(5226,plain,
% 19.14/12.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0))),
% 19.14/12.78 inference(transitivity,[status(thm)],[5225, 5223])).
% 19.14/12.78 tff(5227,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5228,plain,
% 19.14/12.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 19.14/12.78 tff(5229,plain,
% 19.14/12.78 ((~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5228, 605, 5167])).
% 19.14/12.78 tff(5230,plain,
% 19.14/12.78 ((~v84(constB42, bitIndex0)) | v84(constB43, bitIndex0)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5229, 5179])).
% 19.14/12.78 tff(5231,plain,
% 19.14/12.78 (v84(constB43, bitIndex0)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5230, 5145])).
% 19.14/12.78 tff(5232,plain,
% 19.14/12.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5233,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5234,plain,
% 19.14/12.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43)),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5233, 5232])).
% 19.14/12.78 tff(5235,plain,
% 19.14/12.78 ((~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5234, 1176, 5231])).
% 19.14/12.78 tff(5236,plain,
% 19.14/12.78 (v116(constB43)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5235, 5222, 5188])).
% 19.14/12.78 tff(5237,plain,
% 19.14/12.78 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB43) | (~v116(constB43)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5238,plain,
% 19.14/12.78 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB43) | (~v116(constB43)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5239,plain,
% 19.14/12.78 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB43) | (~v116(constB43))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5238, 5237])).
% 19.14/12.78 tff(5240,plain,
% 19.14/12.78 (v110(constB43)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5239, 1187, 5236])).
% 19.14/12.78 tff(5241,plain,
% 19.14/12.78 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB43) | (~v110(constB43)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB43) | (~v110(constB43)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5242,plain,
% 19.14/12.78 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB43) | (~v110(constB43)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5243,plain,
% 19.14/12.78 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB43) | (~v110(constB43))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5242, 5241])).
% 19.14/12.78 tff(5244,plain,
% 19.14/12.78 (v109(constB43)),
% 19.14/12.78 inference(unit_resolution,[status(thm)],[5243, 228, 5240])).
% 19.14/12.78 tff(5245,plain,
% 19.14/12.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB43) | (~v109(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB43) | (~v109(constB43)))),
% 19.14/12.78 inference(rewrite,[status(thm)],[])).
% 19.14/12.78 tff(5246,plain,
% 19.14/12.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB43) | (~v109(constB43)))),
% 19.14/12.78 inference(quant_inst,[status(thm)],[])).
% 19.14/12.78 tff(5247,plain,
% 19.14/12.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB43) | (~v109(constB43))),
% 19.14/12.78 inference(modus_ponens,[status(thm)],[5246, 5245])).
% 19.14/12.79 tff(5248,plain,
% 19.14/12.79 (v108(constB43)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5247, 239, 5244])).
% 19.14/12.79 tff(5249,plain,
% 19.14/12.79 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB43) | (~v108(constB43)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB43) | (~v108(constB43)))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5250,plain,
% 19.14/12.79 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB43) | (~v108(constB43)))),
% 19.14/12.79 inference(quant_inst,[status(thm)],[])).
% 19.14/12.79 tff(5251,plain,
% 19.14/12.79 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB43) | (~v108(constB43))),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5250, 5249])).
% 19.14/12.79 tff(5252,plain,
% 19.14/12.79 (v107(constB43)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5251, 250, 5248])).
% 19.14/12.79 tff(5253,assumption,(v26(constB43)), introduced(assumption)).
% 19.14/12.79 tff(5254,plain,
% 19.14/12.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 19.14/12.79 inference(quant_inst,[status(thm)],[])).
% 19.14/12.79 tff(5255,plain,
% 19.14/12.79 ($false),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5254, 18, 5253])).
% 19.14/12.79 tff(5256,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 19.14/12.79 tff(5257,plain,
% 19.14/12.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | v106(constB43) | (~v107(constB43)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5258,plain,
% 19.14/12.79 ((v26(constB43) | (~v107(constB43)) | v106(constB43)) <=> (v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5259,plain,
% 19.14/12.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | v106(constB43) | (~v107(constB43))))),
% 19.14/12.79 inference(monotonicity,[status(thm)],[5258])).
% 19.14/12.79 tff(5260,plain,
% 19.14/12.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 19.14/12.79 inference(transitivity,[status(thm)],[5259, 5257])).
% 19.14/12.79 tff(5261,plain,
% 19.14/12.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))),
% 19.14/12.79 inference(quant_inst,[status(thm)],[])).
% 19.14/12.79 tff(5262,plain,
% 19.14/12.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43))),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5261, 5260])).
% 19.14/12.79 tff(5263,plain,
% 19.14/12.79 (v106(constB43) | (~v107(constB43))),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5262, 264, 5256])).
% 19.14/12.79 tff(5264,plain,
% 19.14/12.79 (v106(constB43)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5263, 5252])).
% 19.14/12.79 tff(5265,plain,
% 19.14/12.79 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB43) | (~v106(constB43)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB43) | (~v106(constB43)))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5266,plain,
% 19.14/12.79 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB43) | (~v106(constB43)))),
% 19.14/12.79 inference(quant_inst,[status(thm)],[])).
% 19.14/12.79 tff(5267,plain,
% 19.14/12.79 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB43) | (~v106(constB43))),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5266, 5265])).
% 19.14/12.79 tff(5268,plain,
% 19.14/12.79 (v102(constB43)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5267, 276, 5264])).
% 19.14/12.79 tff(5269,plain,
% 19.14/12.79 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5270,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 19.14/12.79 tff(5271,plain,
% 19.14/12.79 (nextState(constB43, constB44)),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5270, 5269])).
% 19.14/12.79 tff(5272,plain,
% 19.14/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5273,plain,
% 19.14/12.79 (((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44)) <=> ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5274,plain,
% 19.14/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43))))),
% 19.14/12.79 inference(monotonicity,[status(thm)],[5273])).
% 19.14/12.79 tff(5275,plain,
% 19.14/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 19.14/12.79 inference(transitivity,[status(thm)],[5274, 5272])).
% 19.14/12.79 tff(5276,plain,
% 19.14/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))),
% 19.14/12.79 inference(quant_inst,[status(thm)],[])).
% 19.14/12.79 tff(5277,plain,
% 19.14/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43))),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 19.14/12.79 tff(5278,plain,
% 19.14/12.79 (v104(constB44) | (~v102(constB43))),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5277, 293, 5271])).
% 19.14/12.79 tff(5279,plain,
% 19.14/12.79 (v104(constB44)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5278, 5268])).
% 19.14/12.79 tff(5280,plain,
% 19.14/12.79 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5281,plain,
% 19.14/12.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))),
% 19.14/12.79 inference(quant_inst,[status(thm)],[])).
% 19.14/12.79 tff(5282,plain,
% 19.14/12.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44))),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5281, 5280])).
% 19.14/12.79 tff(5283,plain,
% 19.14/12.79 (~v98(constB44)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5282, 311, 5271, 5164])).
% 19.14/12.79 tff(5284,plain,
% 19.14/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5285,plain,
% 19.14/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))),
% 19.14/12.79 inference(quant_inst,[status(thm)],[])).
% 19.14/12.79 tff(5286,plain,
% 19.14/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB43, constB44)) | v96(constB44) | v98(constB44)),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 19.14/12.79 tff(5287,plain,
% 19.14/12.79 (v96(constB44) | v98(constB44)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5286, 325, 5271])).
% 19.14/12.79 tff(5288,plain,
% 19.14/12.79 (v96(constB44)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5287, 5283])).
% 19.14/12.79 tff(5289,plain,
% 19.14/12.79 (v1(constB44) <=> v1(constB44)),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5290,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 19.14/12.79 tff(5291,plain,
% 19.14/12.79 (v1(constB44)),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5290, 5289])).
% 19.14/12.79 tff(5292,plain,
% 19.14/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))),
% 19.14/12.79 inference(rewrite,[status(thm)],[])).
% 19.14/12.79 tff(5293,plain,
% 19.14/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))),
% 19.14/12.79 inference(quant_inst,[status(thm)],[])).
% 19.14/12.79 tff(5294,plain,
% 19.14/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44))),
% 19.14/12.79 inference(modus_ponens,[status(thm)],[5293, 5292])).
% 19.14/12.79 tff(5295,plain,
% 19.14/12.79 (v95(constB44) | (~v96(constB44))),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5294, 343, 5271, 5291])).
% 19.14/12.79 tff(5296,plain,
% 19.14/12.79 (v95(constB44)),
% 19.14/12.79 inference(unit_resolution,[status(thm)],[5295, 5288])).
% 19.14/12.79 tff(5297,plain,
% 19.14/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5298,plain,
% 19.21/12.79 (((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44)) <=> ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5299,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44))))),
% 19.21/12.79 inference(monotonicity,[status(thm)],[5298])).
% 19.21/12.79 tff(5300,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 19.21/12.79 inference(transitivity,[status(thm)],[5299, 5297])).
% 19.21/12.79 tff(5301,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5302,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5301, 5300])).
% 19.21/12.79 tff(5303,plain,
% 19.21/12.79 (v94(constB44) | (~v95(constB44)) | (~v104(constB44))),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5302, 358, 5271])).
% 19.21/12.79 tff(5304,plain,
% 19.21/12.79 (v94(constB44) | (~v104(constB44))),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5303, 5296])).
% 19.21/12.79 tff(5305,plain,
% 19.21/12.79 (v94(constB44)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5304, 5279])).
% 19.21/12.79 tff(5306,plain,
% 19.21/12.79 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB43)) | (~v124(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB43)) | (~v124(constB43, bitIndex1)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5307,plain,
% 19.21/12.79 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB43)) | (~v124(constB43, bitIndex1)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5308,plain,
% 19.21/12.79 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB43)) | (~v124(constB43, bitIndex1))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 19.21/12.79 tff(5309,plain,
% 19.21/12.79 (~v124(constB43, bitIndex1)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5308, 1358, 5236])).
% 19.21/12.79 tff(5310,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5311,plain,
% 19.21/12.79 ((v26(constB43) | v124(constB43, bitIndex1) | (~v121(constB43, bitIndex1))) <=> ((~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5312,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB43) | v124(constB43, bitIndex1) | (~v121(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1)))),
% 19.21/12.79 inference(monotonicity,[status(thm)],[5311])).
% 19.21/12.79 tff(5313,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB43) | v124(constB43, bitIndex1) | (~v121(constB43, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1))),
% 19.21/12.79 inference(transitivity,[status(thm)],[5312, 5310])).
% 19.21/12.79 tff(5314,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB43) | v124(constB43, bitIndex1) | (~v121(constB43, bitIndex1)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5315,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1)),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5314, 5313])).
% 19.21/12.79 tff(5316,plain,
% 19.21/12.79 ((~v121(constB43, bitIndex1)) | v124(constB43, bitIndex1)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5315, 483, 5256])).
% 19.21/12.79 tff(5317,plain,
% 19.21/12.79 (~v121(constB43, bitIndex1)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5316, 5309])).
% 19.21/12.79 tff(5318,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5319,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5320,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 19.21/12.79 tff(5321,plain,
% 19.21/12.79 (v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1))),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5320, 501, 5271])).
% 19.21/12.79 tff(5322,plain,
% 19.21/12.79 (~v123(constB44, bitIndex1)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5321, 5317])).
% 19.21/12.79 tff(5323,plain,
% 19.21/12.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5324,plain,
% 19.21/12.79 (((~v84(constB44, bitIndex1)) | (~v94(constB44)) | v123(constB44, bitIndex1)) <=> ((~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5325,plain,
% 19.21/12.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~v94(constB44)) | v123(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44))))),
% 19.21/12.79 inference(monotonicity,[status(thm)],[5324])).
% 19.21/12.79 tff(5326,plain,
% 19.21/12.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~v94(constB44)) | v123(constB44, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44)))),
% 19.21/12.79 inference(transitivity,[status(thm)],[5325, 5323])).
% 19.21/12.79 tff(5327,plain,
% 19.21/12.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~v94(constB44)) | v123(constB44, bitIndex1))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5328,plain,
% 19.21/12.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5327, 5326])).
% 19.21/12.79 tff(5329,plain,
% 19.21/12.79 ((~v84(constB44, bitIndex1)) | (~v94(constB44))),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5328, 516, 5322])).
% 19.21/12.79 tff(5330,plain,
% 19.21/12.79 (~v84(constB44, bitIndex1)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5329, 5305])).
% 19.21/12.79 tff(5331,plain,
% 19.21/12.79 ((~v1(constB45)) <=> (~v1(constB45))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5332,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 19.21/12.79 tff(5333,plain,
% 19.21/12.79 (~v1(constB45)),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 19.21/12.79 tff(5334,plain,
% 19.21/12.79 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5335,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 19.21/12.79 tff(5336,plain,
% 19.21/12.79 (nextState(constB44, constB45)),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 19.21/12.79 tff(5337,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5338,plain,
% 19.21/12.79 (((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5339,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45))))),
% 19.21/12.79 inference(monotonicity,[status(thm)],[5338])).
% 19.21/12.79 tff(5340,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 19.21/12.79 inference(transitivity,[status(thm)],[5339, 5337])).
% 19.21/12.79 tff(5341,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5342,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5341, 5340])).
% 19.21/12.79 tff(5343,plain,
% 19.21/12.79 (~v95(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5342, 89, 5336, 5333])).
% 19.21/12.79 tff(5344,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5345,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5346,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5345, 5344])).
% 19.21/12.79 tff(5347,plain,
% 19.21/12.79 (v95(constB45) | (~v94(constB45))),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5346, 106, 5336])).
% 19.21/12.79 tff(5348,plain,
% 19.21/12.79 (~v94(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5347, 5343])).
% 19.21/12.79 tff(5349,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5350,plain,
% 19.21/12.79 (((~nextState(constB44, constB45)) | v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1))) <=> (v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5351,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1))))),
% 19.21/12.79 inference(monotonicity,[status(thm)],[5350])).
% 19.21/12.79 tff(5352,plain,
% 19.21/12.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1)))),
% 19.21/12.79 inference(transitivity,[status(thm)],[5351, 5349])).
% 19.21/12.79 tff(5353,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5354,plain,
% 19.21/12.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 19.21/12.79 tff(5355,plain,
% 19.21/12.79 (v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1))),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5354, 142, 5336])).
% 19.21/12.79 tff(5356,plain,
% 19.21/12.79 (v84(constB44, bitIndex1) | (~v84(constB45, bitIndex1))),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5355, 5348])).
% 19.21/12.79 tff(5357,plain,
% 19.21/12.79 (~v84(constB45, bitIndex1)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5356, 5330])).
% 19.21/12.79 tff(5358,assumption,(~v108(constB45)), introduced(assumption)).
% 19.21/12.79 tff(5359,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB45) | (~v118(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB45) | (~v118(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5360,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB45) | (~v118(constB45)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5361,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB45) | (~v118(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5360, 5359])).
% 19.21/12.79 tff(5362,plain,
% 19.21/12.79 (~v118(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5361, 1683, 5358])).
% 19.21/12.79 tff(5363,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB45) | (~v109(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB45) | (~v109(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5364,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB45) | (~v109(constB45)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5365,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB45) | (~v109(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 19.21/12.79 tff(5366,plain,
% 19.21/12.79 (~v109(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5365, 239, 5358])).
% 19.21/12.79 tff(5367,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB45) | (~v172(constB45)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB45) | (~v172(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5368,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB45) | (~v172(constB45)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5369,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB45) | (~v172(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5368, 5367])).
% 19.21/12.79 tff(5370,plain,
% 19.21/12.79 (~v172(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5369, 1457, 5366])).
% 19.21/12.79 tff(5371,assumption,(~v84(constB45, bitIndex1)), introduced(assumption)).
% 19.21/12.79 tff(5372,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB45) | (~v110(constB45)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB45) | (~v110(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5373,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB45) | (~v110(constB45)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5374,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB45) | (~v110(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5373, 5372])).
% 19.21/12.79 tff(5375,plain,
% 19.21/12.79 (~v110(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5374, 228, 5366])).
% 19.21/12.79 tff(5376,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB45) | (~v111(constB45)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB45) | (~v111(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5377,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB45) | (~v111(constB45)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5378,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB45) | (~v111(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 19.21/12.79 tff(5379,plain,
% 19.21/12.79 (~v111(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5378, 217, 5375])).
% 19.21/12.79 tff(5380,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB45) | (~v112(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5381,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB45) | (~v112(constB45)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5382,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB45) | (~v112(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 19.21/12.79 tff(5383,plain,
% 19.21/12.79 (~v112(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5382, 206, 5379])).
% 19.21/12.79 tff(5384,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB45) | (~v113(constB45)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB45) | (~v113(constB45)))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5385,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB45) | (~v113(constB45)))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5386,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB45) | (~v113(constB45))),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5385, 5384])).
% 19.21/12.79 tff(5387,plain,
% 19.21/12.79 (~v113(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5386, 195, 5383])).
% 19.21/12.79 tff(5388,assumption,(~v113(constB45)), introduced(assumption)).
% 19.21/12.79 tff(5389,assumption,(~v84(constB45, bitIndex0)), introduced(assumption)).
% 19.21/12.79 tff(5390,assumption,(~v172(constB45)), introduced(assumption)).
% 19.21/12.79 tff(5391,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v172(constB45))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v172(constB45))),
% 19.21/12.79 inference(rewrite,[status(thm)],[])).
% 19.21/12.79 tff(5392,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v172(constB45))),
% 19.21/12.79 inference(quant_inst,[status(thm)],[])).
% 19.21/12.79 tff(5393,plain,
% 19.21/12.79 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v172(constB45)),
% 19.21/12.79 inference(modus_ponens,[status(thm)],[5392, 5391])).
% 19.21/12.79 tff(5394,plain,
% 19.21/12.79 (v84(constB45, bitIndex0) | (~v84(constB45, bitIndex2)) | v172(constB45)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5393, 1446, 5371])).
% 19.21/12.79 tff(5395,plain,
% 19.21/12.79 (~v84(constB45, bitIndex2)),
% 19.21/12.79 inference(unit_resolution,[status(thm)],[5394, 5389, 5390])).
% 19.21/12.79 tff(5396,plain,
% 19.21/12.79 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB45) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB45) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5397,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB45) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5398,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB45) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 19.21/12.80 tff(5399,plain,
% 19.21/12.80 (v113(constB45) | v84(constB45, bitIndex0) | v84(constB45, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5398, 184, 5371])).
% 19.21/12.80 tff(5400,plain,
% 19.21/12.80 ($false),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5399, 5395, 5389, 5388])).
% 19.21/12.80 tff(5401,plain,(v84(constB45, bitIndex0) | v113(constB45) | v84(constB45, bitIndex1) | v172(constB45)), inference(lemma,lemma(discharge,[]))).
% 19.21/12.80 tff(5402,plain,
% 19.21/12.80 (v84(constB45, bitIndex0)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5401, 5387, 5371, 5370])).
% 19.21/12.80 tff(5403,plain,
% 19.21/12.80 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB45) | (~v145(constB45)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB45) | (~v145(constB45)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5404,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB45) | (~v145(constB45)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5405,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB45) | (~v145(constB45))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5404, 5403])).
% 19.21/12.80 tff(5406,plain,
% 19.21/12.80 (~v145(constB45)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5405, 681, 5383])).
% 19.21/12.80 tff(5407,plain,
% 19.21/12.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v145(constB45))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v145(constB45))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5408,plain,
% 19.21/12.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v145(constB45))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5409,plain,
% 19.21/12.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v145(constB45)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5408, 5407])).
% 19.21/12.80 tff(5410,plain,
% 19.21/12.80 ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex2) | v145(constB45)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5409, 624, 5371])).
% 19.21/12.80 tff(5411,plain,
% 19.21/12.80 (v84(constB45, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5410, 5402, 5406])).
% 19.21/12.80 tff(5412,plain,
% 19.21/12.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v118(constB45))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v118(constB45))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5413,plain,
% 19.21/12.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v118(constB45))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5414,plain,
% 19.21/12.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v118(constB45)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 19.21/12.80 tff(5415,plain,
% 19.21/12.80 ((~v84(constB45, bitIndex0)) | (~v84(constB45, bitIndex2)) | v118(constB45)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5414, 1672, 5371])).
% 19.21/12.80 tff(5416,plain,
% 19.21/12.80 ($false),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5415, 5411, 5402, 5362])).
% 19.21/12.80 tff(5417,plain,(v108(constB45) | v84(constB45, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.21/12.80 tff(5418,plain,
% 19.21/12.80 (v108(constB45)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5417, 5357])).
% 19.21/12.80 tff(5419,plain,
% 19.21/12.80 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB45) | (~v108(constB45)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB45) | (~v108(constB45)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5420,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB45) | (~v108(constB45)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5421,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB45) | (~v108(constB45))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5420, 5419])).
% 19.21/12.80 tff(5422,plain,
% 19.21/12.80 (v107(constB45)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5421, 250, 5418])).
% 19.21/12.80 tff(5423,assumption,(v26(constB45)), introduced(assumption)).
% 19.21/12.80 tff(5424,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5425,plain,
% 19.21/12.80 ($false),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5424, 18, 5423])).
% 19.21/12.80 tff(5426,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 19.21/12.80 tff(5427,plain,
% 19.21/12.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB45) | (~v107(constB45)) | v106(constB45))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB45) | (~v107(constB45)) | v106(constB45))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5428,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB45) | (~v107(constB45)) | v106(constB45))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5429,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB45) | (~v107(constB45)) | v106(constB45)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5428, 5427])).
% 19.21/12.80 tff(5430,plain,
% 19.21/12.80 ((~v107(constB45)) | v106(constB45)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5429, 264, 5426])).
% 19.21/12.80 tff(5431,plain,
% 19.21/12.80 (v106(constB45)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5430, 5422])).
% 19.21/12.80 tff(5432,plain,
% 19.21/12.80 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB45) | (~v106(constB45)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB45) | (~v106(constB45)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5433,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB45) | (~v106(constB45)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5434,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB45) | (~v106(constB45))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 19.21/12.80 tff(5435,plain,
% 19.21/12.80 (v102(constB45)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5434, 276, 5431])).
% 19.21/12.80 tff(5436,plain,
% 19.21/12.80 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5437,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 19.21/12.80 tff(5438,plain,
% 19.21/12.80 (nextState(constB45, constB46)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 19.21/12.80 tff(5439,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5440,plain,
% 19.21/12.80 (((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46)) <=> ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5441,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45))))),
% 19.21/12.80 inference(monotonicity,[status(thm)],[5440])).
% 19.21/12.80 tff(5442,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 19.21/12.80 inference(transitivity,[status(thm)],[5441, 5439])).
% 19.21/12.80 tff(5443,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5444,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5443, 5442])).
% 19.21/12.80 tff(5445,plain,
% 19.21/12.80 (v104(constB46) | (~v102(constB45))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5444, 293, 5438])).
% 19.21/12.80 tff(5446,plain,
% 19.21/12.80 (v104(constB46)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5445, 5435])).
% 19.21/12.80 tff(5447,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5448,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5449,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 19.21/12.80 tff(5450,plain,
% 19.21/12.80 (~v98(constB46)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5449, 311, 5438, 5333])).
% 19.21/12.80 tff(5451,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5452,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5453,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB45, constB46)) | v96(constB46) | v98(constB46)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5452, 5451])).
% 19.21/12.80 tff(5454,plain,
% 19.21/12.80 (v96(constB46) | v98(constB46)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5453, 325, 5438])).
% 19.21/12.80 tff(5455,plain,
% 19.21/12.80 (v96(constB46)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5454, 5450])).
% 19.21/12.80 tff(5456,plain,
% 19.21/12.80 (v1(constB46) <=> v1(constB46)),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5457,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 19.21/12.80 tff(5458,plain,
% 19.21/12.80 (v1(constB46)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 19.21/12.80 tff(5459,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5460,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5461,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 19.21/12.80 tff(5462,plain,
% 19.21/12.80 (v95(constB46) | (~v96(constB46))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5461, 343, 5438, 5458])).
% 19.21/12.80 tff(5463,plain,
% 19.21/12.80 (v95(constB46)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5462, 5455])).
% 19.21/12.80 tff(5464,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5465,plain,
% 19.21/12.80 (((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46)) <=> ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5466,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46))))),
% 19.21/12.80 inference(monotonicity,[status(thm)],[5465])).
% 19.21/12.80 tff(5467,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 19.21/12.80 inference(transitivity,[status(thm)],[5466, 5464])).
% 19.21/12.80 tff(5468,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5469,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 19.21/12.80 tff(5470,plain,
% 19.21/12.80 (v94(constB46) | (~v95(constB46)) | (~v104(constB46))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5469, 358, 5438])).
% 19.21/12.80 tff(5471,plain,
% 19.21/12.80 (v94(constB46) | (~v104(constB46))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5470, 5463])).
% 19.21/12.80 tff(5472,plain,
% 19.21/12.80 (v94(constB46)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5471, 5446])).
% 19.21/12.80 tff(5473,plain,
% 19.21/12.80 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB43)) | v124(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB43)) | v124(constB43, bitIndex2))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5474,plain,
% 19.21/12.80 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB43)) | v124(constB43, bitIndex2))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5475,plain,
% 19.21/12.80 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB43)) | v124(constB43, bitIndex2)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5474, 5473])).
% 19.21/12.80 tff(5476,plain,
% 19.21/12.80 (v124(constB43, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5475, 1259, 5236])).
% 19.21/12.80 tff(5477,plain,
% 19.21/12.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5478,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5479,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5478, 5477])).
% 19.21/12.80 tff(5480,plain,
% 19.21/12.80 ((~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5479, 1273, 5256])).
% 19.21/12.80 tff(5481,plain,
% 19.21/12.80 (v121(constB43, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5480, 5476])).
% 19.21/12.80 tff(5482,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5483,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5484,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 19.21/12.80 tff(5485,plain,
% 19.21/12.80 ((~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5484, 1288, 5271])).
% 19.21/12.80 tff(5486,plain,
% 19.21/12.80 (v123(constB44, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5485, 5481])).
% 19.21/12.80 tff(5487,plain,
% 19.21/12.80 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5488,plain,
% 19.21/12.80 ((v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2))) <=> (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5489,plain,
% 19.21/12.80 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44))))),
% 19.21/12.80 inference(monotonicity,[status(thm)],[5488])).
% 19.21/12.80 tff(5490,plain,
% 19.21/12.80 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 19.21/12.80 inference(transitivity,[status(thm)],[5489, 5487])).
% 19.21/12.80 tff(5491,plain,
% 19.21/12.80 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5492,plain,
% 19.21/12.80 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 19.21/12.80 tff(5493,plain,
% 19.21/12.80 (v84(constB44, bitIndex2) | (~v94(constB44))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5492, 1303, 5486])).
% 19.21/12.80 tff(5494,plain,
% 19.21/12.80 (v84(constB44, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5493, 5305])).
% 19.21/12.80 tff(5495,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5496,plain,
% 19.21/12.80 (((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2)) <=> ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5497,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2)))),
% 19.21/12.80 inference(monotonicity,[status(thm)],[5496])).
% 19.21/12.80 tff(5498,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 19.21/12.80 inference(transitivity,[status(thm)],[5497, 5495])).
% 19.21/12.80 tff(5499,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5500,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 19.21/12.80 tff(5501,plain,
% 19.21/12.80 ((~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5500, 1339, 5336])).
% 19.21/12.80 tff(5502,plain,
% 19.21/12.80 ((~v84(constB44, bitIndex2)) | v84(constB45, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5501, 5348])).
% 19.21/12.80 tff(5503,plain,
% 19.21/12.80 (v84(constB45, bitIndex2)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5502, 5494])).
% 19.21/12.80 tff(5504,plain,
% 19.21/12.80 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB43)) | (~v124(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB43)) | (~v124(constB43, bitIndex0)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5505,plain,
% 19.21/12.80 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB43)) | (~v124(constB43, bitIndex0)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5506,plain,
% 19.21/12.80 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB43)) | (~v124(constB43, bitIndex0))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5505, 5504])).
% 19.21/12.80 tff(5507,plain,
% 19.21/12.80 (~v124(constB43, bitIndex0)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5506, 1402, 5236])).
% 19.21/12.80 tff(5508,plain,
% 19.21/12.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5509,plain,
% 19.21/12.80 ((v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0))) <=> ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5510,plain,
% 19.21/12.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0)))),
% 19.21/12.80 inference(monotonicity,[status(thm)],[5509])).
% 19.21/12.80 tff(5511,plain,
% 19.21/12.80 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 19.21/12.80 inference(transitivity,[status(thm)],[5510, 5508])).
% 19.21/12.80 tff(5512,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5513,plain,
% 19.21/12.80 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0)),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 19.21/12.80 tff(5514,plain,
% 19.21/12.80 ((~v121(constB43, bitIndex0)) | v124(constB43, bitIndex0)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5513, 885, 5256])).
% 19.21/12.80 tff(5515,plain,
% 19.21/12.80 (~v121(constB43, bitIndex0)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5514, 5507])).
% 19.21/12.80 tff(5516,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5517,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5518,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5517, 5516])).
% 19.21/12.80 tff(5519,plain,
% 19.21/12.80 (v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5518, 903, 5271])).
% 19.21/12.80 tff(5520,plain,
% 19.21/12.80 (~v123(constB44, bitIndex0)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5519, 5515])).
% 19.21/12.80 tff(5521,plain,
% 19.21/12.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5522,plain,
% 19.21/12.80 (((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0)) <=> ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5523,plain,
% 19.21/12.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44))))),
% 19.21/12.80 inference(monotonicity,[status(thm)],[5522])).
% 19.21/12.80 tff(5524,plain,
% 19.21/12.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 19.21/12.80 inference(transitivity,[status(thm)],[5523, 5521])).
% 19.21/12.80 tff(5525,plain,
% 19.21/12.80 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5526,plain,
% 19.21/12.80 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 19.21/12.80 tff(5527,plain,
% 19.21/12.80 ((~v84(constB44, bitIndex0)) | (~v94(constB44))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5526, 918, 5520])).
% 19.21/12.80 tff(5528,plain,
% 19.21/12.80 (~v84(constB44, bitIndex0)),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5527, 5305])).
% 19.21/12.80 tff(5529,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5530,plain,
% 19.21/12.80 (((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0))) <=> (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 19.21/12.80 inference(rewrite,[status(thm)],[])).
% 19.21/12.80 tff(5531,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0))))),
% 19.21/12.80 inference(monotonicity,[status(thm)],[5530])).
% 19.21/12.80 tff(5532,plain,
% 19.21/12.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 19.21/12.80 inference(transitivity,[status(thm)],[5531, 5529])).
% 19.21/12.80 tff(5533,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 19.21/12.80 inference(quant_inst,[status(thm)],[])).
% 19.21/12.80 tff(5534,plain,
% 19.21/12.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0))),
% 19.21/12.80 inference(modus_ponens,[status(thm)],[5533, 5532])).
% 19.21/12.80 tff(5535,plain,
% 19.21/12.80 (v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5534, 163, 5336])).
% 19.21/12.80 tff(5536,plain,
% 19.21/12.80 (v84(constB44, bitIndex0) | (~v84(constB45, bitIndex0))),
% 19.21/12.80 inference(unit_resolution,[status(thm)],[5535, 5348])).
% 19.21/12.81 tff(5537,plain,
% 19.21/12.81 (~v84(constB45, bitIndex0)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5536, 5528])).
% 19.21/12.81 tff(5538,plain,
% 19.21/12.81 (v172(constB45)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5393, 1446, 5537, 5357, 5503])).
% 19.21/12.81 tff(5539,plain,
% 19.21/12.81 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB45)) | v124(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB45)) | v124(constB45, bitIndex2))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5540,plain,
% 19.21/12.81 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB45)) | v124(constB45, bitIndex2))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5541,plain,
% 19.21/12.81 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB45)) | v124(constB45, bitIndex2)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5540, 5539])).
% 19.21/12.81 tff(5542,plain,
% 19.21/12.81 (v124(constB45, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5541, 1528, 5538])).
% 19.21/12.81 tff(5543,plain,
% 19.21/12.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB45) | (~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB45) | (~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5544,plain,
% 19.21/12.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB45) | (~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5545,plain,
% 19.21/12.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB45) | (~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5544, 5543])).
% 19.21/12.81 tff(5546,plain,
% 19.21/12.81 ((~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5545, 1273, 5426])).
% 19.21/12.81 tff(5547,plain,
% 19.21/12.81 (v121(constB45, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5546, 5542])).
% 19.21/12.81 tff(5548,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5549,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5550,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 19.21/12.81 tff(5551,plain,
% 19.21/12.81 ((~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5550, 1288, 5438])).
% 19.21/12.81 tff(5552,plain,
% 19.21/12.81 (v123(constB46, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5551, 5547])).
% 19.21/12.81 tff(5553,plain,
% 19.21/12.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5554,plain,
% 19.21/12.81 ((v84(constB46, bitIndex2) | (~v94(constB46)) | (~v123(constB46, bitIndex2))) <=> (v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5555,plain,
% 19.21/12.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v94(constB46)) | (~v123(constB46, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46))))),
% 19.21/12.81 inference(monotonicity,[status(thm)],[5554])).
% 19.21/12.81 tff(5556,plain,
% 19.21/12.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v94(constB46)) | (~v123(constB46, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46)))),
% 19.21/12.81 inference(transitivity,[status(thm)],[5555, 5553])).
% 19.21/12.81 tff(5557,plain,
% 19.21/12.81 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v94(constB46)) | (~v123(constB46, bitIndex2)))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5558,plain,
% 19.21/12.81 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46))),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5557, 5556])).
% 19.21/12.81 tff(5559,plain,
% 19.21/12.81 (v84(constB46, bitIndex2) | (~v94(constB46))),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5558, 1303, 5552])).
% 19.21/12.81 tff(5560,plain,
% 19.21/12.81 (v84(constB46, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5559, 5472])).
% 19.21/12.81 tff(5561,plain,
% 19.21/12.81 ((~v1(constB47)) <=> (~v1(constB47))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5562,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 19.21/12.81 tff(5563,plain,
% 19.21/12.81 (~v1(constB47)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 19.21/12.81 tff(5564,plain,
% 19.21/12.81 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5565,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 19.21/12.81 tff(5566,plain,
% 19.21/12.81 (nextState(constB46, constB47)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5565, 5564])).
% 19.21/12.81 tff(5567,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5568,plain,
% 19.21/12.81 (((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5569,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47))))),
% 19.21/12.81 inference(monotonicity,[status(thm)],[5568])).
% 19.21/12.81 tff(5570,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 19.21/12.81 inference(transitivity,[status(thm)],[5569, 5567])).
% 19.21/12.81 tff(5571,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5572,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47))),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 19.21/12.81 tff(5573,plain,
% 19.21/12.81 (~v95(constB47)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5572, 89, 5566, 5563])).
% 19.21/12.81 tff(5574,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5575,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5576,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47))),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 19.21/12.81 tff(5577,plain,
% 19.21/12.81 (v95(constB47) | (~v94(constB47))),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5576, 106, 5566])).
% 19.21/12.81 tff(5578,plain,
% 19.21/12.81 (~v94(constB47)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5577, 5573])).
% 19.21/12.81 tff(5579,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5580,plain,
% 19.21/12.81 (((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2)) <=> ((~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5581,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2)))),
% 19.21/12.81 inference(monotonicity,[status(thm)],[5580])).
% 19.21/12.81 tff(5582,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2))),
% 19.21/12.81 inference(transitivity,[status(thm)],[5581, 5579])).
% 19.21/12.81 tff(5583,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5584,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 19.21/12.81 tff(5585,plain,
% 19.21/12.81 ((~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5584, 1339, 5566])).
% 19.21/12.81 tff(5586,plain,
% 19.21/12.81 ((~v84(constB46, bitIndex2)) | v84(constB47, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5585, 5578])).
% 19.21/12.81 tff(5587,plain,
% 19.21/12.81 (v84(constB47, bitIndex2)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5586, 5560])).
% 19.21/12.81 tff(5588,plain,
% 19.21/12.81 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB45)) | (~v124(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB45)) | (~v124(constB45, bitIndex1)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5589,plain,
% 19.21/12.81 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB45)) | (~v124(constB45, bitIndex1)))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5590,plain,
% 19.21/12.81 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB45)) | (~v124(constB45, bitIndex1))),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 19.21/12.81 tff(5591,plain,
% 19.21/12.81 (~v124(constB45, bitIndex1)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5590, 1587, 5538])).
% 19.21/12.81 tff(5592,plain,
% 19.21/12.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5593,plain,
% 19.21/12.81 ((v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1))) <=> ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5594,plain,
% 19.21/12.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1)))),
% 19.21/12.81 inference(monotonicity,[status(thm)],[5593])).
% 19.21/12.81 tff(5595,plain,
% 19.21/12.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 19.21/12.81 inference(transitivity,[status(thm)],[5594, 5592])).
% 19.21/12.81 tff(5596,plain,
% 19.21/12.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5597,plain,
% 19.21/12.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5596, 5595])).
% 19.21/12.81 tff(5598,plain,
% 19.21/12.81 ((~v121(constB45, bitIndex1)) | v124(constB45, bitIndex1)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5597, 483, 5426])).
% 19.21/12.81 tff(5599,plain,
% 19.21/12.81 (~v121(constB45, bitIndex1)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5598, 5591])).
% 19.21/12.81 tff(5600,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5601,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5602,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1))),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 19.21/12.81 tff(5603,plain,
% 19.21/12.81 (v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1))),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5602, 501, 5438])).
% 19.21/12.81 tff(5604,plain,
% 19.21/12.81 (~v123(constB46, bitIndex1)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5603, 5599])).
% 19.21/12.81 tff(5605,plain,
% 19.21/12.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5606,plain,
% 19.21/12.81 (((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1)) <=> ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5607,plain,
% 19.21/12.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46))))),
% 19.21/12.81 inference(monotonicity,[status(thm)],[5606])).
% 19.21/12.81 tff(5608,plain,
% 19.21/12.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 19.21/12.81 inference(transitivity,[status(thm)],[5607, 5605])).
% 19.21/12.81 tff(5609,plain,
% 19.21/12.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5610,plain,
% 19.21/12.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46))),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5609, 5608])).
% 19.21/12.81 tff(5611,plain,
% 19.21/12.81 ((~v84(constB46, bitIndex1)) | (~v94(constB46))),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5610, 516, 5604])).
% 19.21/12.81 tff(5612,plain,
% 19.21/12.81 (~v84(constB46, bitIndex1)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5611, 5472])).
% 19.21/12.81 tff(5613,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5614,plain,
% 19.21/12.81 (((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1))) <=> (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5615,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1))))),
% 19.21/12.81 inference(monotonicity,[status(thm)],[5614])).
% 19.21/12.81 tff(5616,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 19.21/12.81 inference(transitivity,[status(thm)],[5615, 5613])).
% 19.21/12.81 tff(5617,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5618,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1))),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 19.21/12.81 tff(5619,plain,
% 19.21/12.81 (v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1))),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5618, 142, 5566])).
% 19.21/12.81 tff(5620,plain,
% 19.21/12.81 (v84(constB46, bitIndex1) | (~v84(constB47, bitIndex1))),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5619, 5578])).
% 19.21/12.81 tff(5621,plain,
% 19.21/12.81 (~v84(constB47, bitIndex1)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5620, 5612])).
% 19.21/12.81 tff(5622,plain,
% 19.21/12.81 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB45)) | v124(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB45)) | v124(constB45, bitIndex0))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5623,plain,
% 19.21/12.81 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB45)) | v124(constB45, bitIndex0))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5624,plain,
% 19.21/12.81 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB45)) | v124(constB45, bitIndex0)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5623, 5622])).
% 19.21/12.81 tff(5625,plain,
% 19.21/12.81 (v124(constB45, bitIndex0)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5624, 1631, 5538])).
% 19.21/12.81 tff(5626,plain,
% 19.21/12.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5627,plain,
% 19.21/12.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5628,plain,
% 19.21/12.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 19.21/12.81 tff(5629,plain,
% 19.21/12.81 ((~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5628, 557, 5426])).
% 19.21/12.81 tff(5630,plain,
% 19.21/12.81 (v121(constB45, bitIndex0)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5629, 5625])).
% 19.21/12.81 tff(5631,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5632,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5633,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5632, 5631])).
% 19.21/12.81 tff(5634,plain,
% 19.21/12.81 ((~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5633, 572, 5438])).
% 19.21/12.81 tff(5635,plain,
% 19.21/12.81 (v123(constB46, bitIndex0)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5634, 5630])).
% 19.21/12.81 tff(5636,plain,
% 19.21/12.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5637,plain,
% 19.21/12.81 ((v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0))) <=> (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5638,plain,
% 19.21/12.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46))))),
% 19.21/12.81 inference(monotonicity,[status(thm)],[5637])).
% 19.21/12.81 tff(5639,plain,
% 19.21/12.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 19.21/12.81 inference(transitivity,[status(thm)],[5638, 5636])).
% 19.21/12.81 tff(5640,plain,
% 19.21/12.81 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5641,plain,
% 19.21/12.81 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46))),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 19.21/12.81 tff(5642,plain,
% 19.21/12.81 (v84(constB46, bitIndex0) | (~v94(constB46))),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5641, 587, 5635])).
% 19.21/12.81 tff(5643,plain,
% 19.21/12.81 (v84(constB46, bitIndex0)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5642, 5472])).
% 19.21/12.81 tff(5644,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5645,plain,
% 19.21/12.81 (((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0)) <=> ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 19.21/12.81 inference(rewrite,[status(thm)],[])).
% 19.21/12.81 tff(5646,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0)))),
% 19.21/12.81 inference(monotonicity,[status(thm)],[5645])).
% 19.21/12.81 tff(5647,plain,
% 19.21/12.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 19.21/12.81 inference(transitivity,[status(thm)],[5646, 5644])).
% 19.21/12.81 tff(5648,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))),
% 19.21/12.81 inference(quant_inst,[status(thm)],[])).
% 19.21/12.81 tff(5649,plain,
% 19.21/12.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0)),
% 19.21/12.81 inference(modus_ponens,[status(thm)],[5648, 5647])).
% 19.21/12.81 tff(5650,plain,
% 19.21/12.81 ((~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0)),
% 19.21/12.81 inference(unit_resolution,[status(thm)],[5649, 605, 5566])).
% 19.21/12.81 tff(5651,plain,
% 19.21/12.81 ((~v84(constB46, bitIndex0)) | v84(constB47, bitIndex0)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5650, 5578])).
% 19.21/12.82 tff(5652,plain,
% 19.21/12.82 (v84(constB47, bitIndex0)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5651, 5643])).
% 19.21/12.82 tff(5653,plain,
% 19.21/12.82 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex2)) | v118(constB47))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex2)) | v118(constB47))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5654,plain,
% 19.21/12.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex2)) | v118(constB47))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5655,plain,
% 19.21/12.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex2)) | v118(constB47)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5654, 5653])).
% 19.21/12.82 tff(5656,plain,
% 19.21/12.82 (v118(constB47)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5655, 1672, 5652, 5621, 5587])).
% 19.21/12.82 tff(5657,plain,
% 19.21/12.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB47) | (~v118(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB47) | (~v118(constB47)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5658,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB47) | (~v118(constB47)))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5659,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB47) | (~v118(constB47))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 19.21/12.82 tff(5660,plain,
% 19.21/12.82 (v108(constB47)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5659, 1683, 5656])).
% 19.21/12.82 tff(5661,plain,
% 19.21/12.82 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB47) | (~v108(constB47)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB47) | (~v108(constB47)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5662,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB47) | (~v108(constB47)))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5663,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB47) | (~v108(constB47))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5662, 5661])).
% 19.21/12.82 tff(5664,plain,
% 19.21/12.82 (v107(constB47)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5663, 250, 5660])).
% 19.21/12.82 tff(5665,assumption,(v26(constB47)), introduced(assumption)).
% 19.21/12.82 tff(5666,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5667,plain,
% 19.21/12.82 ($false),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5666, 18, 5665])).
% 19.21/12.82 tff(5668,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 19.21/12.82 tff(5669,plain,
% 19.21/12.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB47) | (~v107(constB47)) | v106(constB47))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB47) | (~v107(constB47)) | v106(constB47))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5670,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB47) | (~v107(constB47)) | v106(constB47))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5671,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB47) | (~v107(constB47)) | v106(constB47)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5670, 5669])).
% 19.21/12.82 tff(5672,plain,
% 19.21/12.82 ((~v107(constB47)) | v106(constB47)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5671, 264, 5668])).
% 19.21/12.82 tff(5673,plain,
% 19.21/12.82 (v106(constB47)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5672, 5664])).
% 19.21/12.82 tff(5674,plain,
% 19.21/12.82 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB47) | (~v106(constB47)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB47) | (~v106(constB47)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5675,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB47) | (~v106(constB47)))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5676,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB47) | (~v106(constB47))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5675, 5674])).
% 19.21/12.82 tff(5677,plain,
% 19.21/12.82 (v102(constB47)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5676, 276, 5673])).
% 19.21/12.82 tff(5678,plain,
% 19.21/12.82 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5679,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 19.21/12.82 tff(5680,plain,
% 19.21/12.82 (nextState(constB47, constB48)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 19.21/12.82 tff(5681,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5682,plain,
% 19.21/12.82 (((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48)) <=> ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5683,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47))))),
% 19.21/12.82 inference(monotonicity,[status(thm)],[5682])).
% 19.21/12.82 tff(5684,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 19.21/12.82 inference(transitivity,[status(thm)],[5683, 5681])).
% 19.21/12.82 tff(5685,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5686,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 19.21/12.82 tff(5687,plain,
% 19.21/12.82 (v104(constB48) | (~v102(constB47))),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5686, 293, 5680])).
% 19.21/12.82 tff(5688,plain,
% 19.21/12.82 (v104(constB48)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5687, 5677])).
% 19.21/12.82 tff(5689,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5690,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5691,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5690, 5689])).
% 19.21/12.82 tff(5692,plain,
% 19.21/12.82 (~v98(constB48)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5691, 311, 5680, 5563])).
% 19.21/12.82 tff(5693,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5694,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5695,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB47, constB48)) | v96(constB48) | v98(constB48)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5694, 5693])).
% 19.21/12.82 tff(5696,plain,
% 19.21/12.82 (v96(constB48) | v98(constB48)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5695, 325, 5680])).
% 19.21/12.82 tff(5697,plain,
% 19.21/12.82 (v96(constB48)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5696, 5692])).
% 19.21/12.82 tff(5698,plain,
% 19.21/12.82 (v1(constB48) <=> v1(constB48)),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5699,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 19.21/12.82 tff(5700,plain,
% 19.21/12.82 (v1(constB48)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5699, 5698])).
% 19.21/12.82 tff(5701,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5702,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5703,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5702, 5701])).
% 19.21/12.82 tff(5704,plain,
% 19.21/12.82 (v95(constB48) | (~v96(constB48))),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5703, 343, 5680, 5700])).
% 19.21/12.82 tff(5705,plain,
% 19.21/12.82 (v95(constB48)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5704, 5697])).
% 19.21/12.82 tff(5706,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5707,plain,
% 19.21/12.82 (((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48)) <=> ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5708,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48))))),
% 19.21/12.82 inference(monotonicity,[status(thm)],[5707])).
% 19.21/12.82 tff(5709,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 19.21/12.82 inference(transitivity,[status(thm)],[5708, 5706])).
% 19.21/12.82 tff(5710,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5711,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 19.21/12.82 tff(5712,plain,
% 19.21/12.82 (v94(constB48) | (~v95(constB48)) | (~v104(constB48))),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5711, 358, 5680])).
% 19.21/12.82 tff(5713,plain,
% 19.21/12.82 (v94(constB48) | (~v104(constB48))),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5712, 5705])).
% 19.21/12.82 tff(5714,plain,
% 19.21/12.82 (v94(constB48)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5713, 5688])).
% 19.21/12.82 tff(5715,plain,
% 19.21/12.82 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB47)) | v124(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB47)) | v124(constB47, bitIndex2))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5716,plain,
% 19.21/12.82 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB47)) | v124(constB47, bitIndex2))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5717,plain,
% 19.21/12.82 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB47)) | v124(constB47, bitIndex2)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 19.21/12.82 tff(5718,plain,
% 19.21/12.82 (v124(constB47, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5717, 1750, 5656])).
% 19.21/12.82 tff(5719,plain,
% 19.21/12.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB47) | (~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB47) | (~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5720,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB47) | (~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5721,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB47) | (~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 19.21/12.82 tff(5722,plain,
% 19.21/12.82 ((~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5721, 1273, 5668])).
% 19.21/12.82 tff(5723,plain,
% 19.21/12.82 (v121(constB47, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5722, 5718])).
% 19.21/12.82 tff(5724,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5725,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5726,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5725, 5724])).
% 19.21/12.82 tff(5727,plain,
% 19.21/12.82 ((~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5726, 1288, 5680])).
% 19.21/12.82 tff(5728,plain,
% 19.21/12.82 (v123(constB48, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5727, 5723])).
% 19.21/12.82 tff(5729,plain,
% 19.21/12.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5730,plain,
% 19.21/12.82 ((v84(constB48, bitIndex2) | (~v94(constB48)) | (~v123(constB48, bitIndex2))) <=> (v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5731,plain,
% 19.21/12.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v94(constB48)) | (~v123(constB48, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48))))),
% 19.21/12.82 inference(monotonicity,[status(thm)],[5730])).
% 19.21/12.82 tff(5732,plain,
% 19.21/12.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v94(constB48)) | (~v123(constB48, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48)))),
% 19.21/12.82 inference(transitivity,[status(thm)],[5731, 5729])).
% 19.21/12.82 tff(5733,plain,
% 19.21/12.82 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v94(constB48)) | (~v123(constB48, bitIndex2)))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5734,plain,
% 19.21/12.82 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5733, 5732])).
% 19.21/12.82 tff(5735,plain,
% 19.21/12.82 (v84(constB48, bitIndex2) | (~v94(constB48))),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5734, 1303, 5728])).
% 19.21/12.82 tff(5736,plain,
% 19.21/12.82 (v84(constB48, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5735, 5714])).
% 19.21/12.82 tff(5737,plain,
% 19.21/12.82 ((~v1(constB49)) <=> (~v1(constB49))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5738,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 19.21/12.82 tff(5739,plain,
% 19.21/12.82 (~v1(constB49)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 19.21/12.82 tff(5740,plain,
% 19.21/12.82 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5741,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 19.21/12.82 tff(5742,plain,
% 19.21/12.82 (nextState(constB48, constB49)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5741, 5740])).
% 19.21/12.82 tff(5743,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5744,plain,
% 19.21/12.82 (((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5745,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49))))),
% 19.21/12.82 inference(monotonicity,[status(thm)],[5744])).
% 19.21/12.82 tff(5746,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 19.21/12.82 inference(transitivity,[status(thm)],[5745, 5743])).
% 19.21/12.82 tff(5747,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5748,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 19.21/12.82 tff(5749,plain,
% 19.21/12.82 (~v95(constB49)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5748, 89, 5742, 5739])).
% 19.21/12.82 tff(5750,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5751,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5752,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 19.21/12.82 tff(5753,plain,
% 19.21/12.82 (v95(constB49) | (~v94(constB49))),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5752, 106, 5742])).
% 19.21/12.82 tff(5754,plain,
% 19.21/12.82 (~v94(constB49)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5753, 5749])).
% 19.21/12.82 tff(5755,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5756,plain,
% 19.21/12.82 (((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2)) <=> ((~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5757,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2)))),
% 19.21/12.82 inference(monotonicity,[status(thm)],[5756])).
% 19.21/12.82 tff(5758,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2))),
% 19.21/12.82 inference(transitivity,[status(thm)],[5757, 5755])).
% 19.21/12.82 tff(5759,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5760,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 19.21/12.82 tff(5761,plain,
% 19.21/12.82 ((~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5760, 1339, 5742])).
% 19.21/12.82 tff(5762,plain,
% 19.21/12.82 ((~v84(constB48, bitIndex2)) | v84(constB49, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5761, 5754])).
% 19.21/12.82 tff(5763,plain,
% 19.21/12.82 (v84(constB49, bitIndex2)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5762, 5736])).
% 19.21/12.82 tff(5764,plain,
% 19.21/12.82 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB47)) | v124(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB47)) | v124(constB47, bitIndex1))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5765,plain,
% 19.21/12.82 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB47)) | v124(constB47, bitIndex1))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5766,plain,
% 19.21/12.82 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB47)) | v124(constB47, bitIndex1)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5765, 5764])).
% 19.21/12.82 tff(5767,plain,
% 19.21/12.82 (v124(constB47, bitIndex1)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5766, 1809, 5656])).
% 19.21/12.82 tff(5768,plain,
% 19.21/12.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5769,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5770,plain,
% 19.21/12.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5769, 5768])).
% 19.21/12.82 tff(5771,plain,
% 19.21/12.82 ((~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5770, 804, 5668])).
% 19.21/12.82 tff(5772,plain,
% 19.21/12.82 (v121(constB47, bitIndex1)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5771, 5767])).
% 19.21/12.82 tff(5773,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5774,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5775,plain,
% 19.21/12.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1)),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 19.21/12.82 tff(5776,plain,
% 19.21/12.82 ((~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5775, 819, 5680])).
% 19.21/12.82 tff(5777,plain,
% 19.21/12.82 (v123(constB48, bitIndex1)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5776, 5772])).
% 19.21/12.82 tff(5778,plain,
% 19.21/12.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5779,plain,
% 19.21/12.82 ((v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1))) <=> (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5780,plain,
% 19.21/12.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48))))),
% 19.21/12.82 inference(monotonicity,[status(thm)],[5779])).
% 19.21/12.82 tff(5781,plain,
% 19.21/12.82 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 19.21/12.82 inference(transitivity,[status(thm)],[5780, 5778])).
% 19.21/12.82 tff(5782,plain,
% 19.21/12.82 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))),
% 19.21/12.82 inference(quant_inst,[status(thm)],[])).
% 19.21/12.82 tff(5783,plain,
% 19.21/12.82 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48))),
% 19.21/12.82 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 19.21/12.82 tff(5784,plain,
% 19.21/12.82 (v84(constB48, bitIndex1) | (~v94(constB48))),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5783, 834, 5777])).
% 19.21/12.82 tff(5785,plain,
% 19.21/12.82 (v84(constB48, bitIndex1)),
% 19.21/12.82 inference(unit_resolution,[status(thm)],[5784, 5714])).
% 19.21/12.82 tff(5786,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5787,plain,
% 19.21/12.82 (((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1)) <=> ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 19.21/12.82 inference(rewrite,[status(thm)],[])).
% 19.21/12.82 tff(5788,plain,
% 19.21/12.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1)))),
% 19.21/12.83 inference(monotonicity,[status(thm)],[5787])).
% 19.21/12.83 tff(5789,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 19.21/12.83 inference(transitivity,[status(thm)],[5788, 5786])).
% 19.21/12.83 tff(5790,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5791,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1)),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5790, 5789])).
% 19.21/12.83 tff(5792,plain,
% 19.21/12.83 ((~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5791, 852, 5742])).
% 19.21/12.83 tff(5793,plain,
% 19.21/12.83 ((~v84(constB48, bitIndex1)) | v84(constB49, bitIndex1)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5792, 5754])).
% 19.21/12.83 tff(5794,plain,
% 19.21/12.83 (v84(constB49, bitIndex1)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5793, 5785])).
% 19.21/12.83 tff(5795,plain,
% 19.21/12.83 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB47)) | (~v124(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB47)) | (~v124(constB47, bitIndex0)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5796,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB47)) | (~v124(constB47, bitIndex0)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5797,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB47)) | (~v124(constB47, bitIndex0))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5796, 5795])).
% 19.21/12.83 tff(5798,plain,
% 19.21/12.83 (~v124(constB47, bitIndex0)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5797, 1850, 5656])).
% 19.21/12.83 tff(5799,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5800,plain,
% 19.21/12.83 ((v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0))) <=> ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5801,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0)))),
% 19.21/12.83 inference(monotonicity,[status(thm)],[5800])).
% 19.21/12.83 tff(5802,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 19.21/12.83 inference(transitivity,[status(thm)],[5801, 5799])).
% 19.21/12.83 tff(5803,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5804,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0)),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 19.21/12.83 tff(5805,plain,
% 19.21/12.83 ((~v121(constB47, bitIndex0)) | v124(constB47, bitIndex0)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5804, 885, 5668])).
% 19.21/12.83 tff(5806,plain,
% 19.21/12.83 (~v121(constB47, bitIndex0)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5805, 5798])).
% 19.21/12.83 tff(5807,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5808,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5809,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 19.21/12.83 tff(5810,plain,
% 19.21/12.83 (v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5809, 903, 5680])).
% 19.21/12.83 tff(5811,plain,
% 19.21/12.83 (~v123(constB48, bitIndex0)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5810, 5806])).
% 19.21/12.83 tff(5812,plain,
% 19.21/12.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5813,plain,
% 19.21/12.83 (((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0)) <=> ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5814,plain,
% 19.21/12.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48))))),
% 19.21/12.83 inference(monotonicity,[status(thm)],[5813])).
% 19.21/12.83 tff(5815,plain,
% 19.21/12.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 19.21/12.83 inference(transitivity,[status(thm)],[5814, 5812])).
% 19.21/12.83 tff(5816,plain,
% 19.21/12.83 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5817,plain,
% 19.21/12.83 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 19.21/12.83 tff(5818,plain,
% 19.21/12.83 ((~v84(constB48, bitIndex0)) | (~v94(constB48))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5817, 918, 5811])).
% 19.21/12.83 tff(5819,plain,
% 19.21/12.83 (~v84(constB48, bitIndex0)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5818, 5714])).
% 19.21/12.83 tff(5820,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5821,plain,
% 19.21/12.83 (((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0))) <=> (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5822,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0))))),
% 19.21/12.83 inference(monotonicity,[status(thm)],[5821])).
% 19.21/12.83 tff(5823,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 19.21/12.83 inference(transitivity,[status(thm)],[5822, 5820])).
% 19.21/12.83 tff(5824,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5825,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 19.21/12.83 tff(5826,plain,
% 19.21/12.83 (v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5825, 163, 5742])).
% 19.21/12.83 tff(5827,plain,
% 19.21/12.83 (v84(constB48, bitIndex0) | (~v84(constB49, bitIndex0))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5826, 5754])).
% 19.21/12.83 tff(5828,plain,
% 19.21/12.83 (~v84(constB49, bitIndex0)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5827, 5819])).
% 19.21/12.83 tff(5829,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)) | v119(constB49))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)) | v119(constB49))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5830,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)) | v119(constB49))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5831,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)) | v119(constB49)),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5830, 5829])).
% 19.21/12.83 tff(5832,plain,
% 19.21/12.83 (v119(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5831, 1894, 5828, 5794, 5763])).
% 19.21/12.83 tff(5833,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB49) | (~v119(constB49)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB49) | (~v119(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5834,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB49) | (~v119(constB49)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5835,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB49) | (~v119(constB49))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5834, 5833])).
% 19.21/12.83 tff(5836,plain,
% 19.21/12.83 (v107(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5835, 1905, 5832])).
% 19.21/12.83 tff(5837,assumption,(v26(constB49)), introduced(assumption)).
% 19.21/12.83 tff(5838,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5839,plain,
% 19.21/12.83 ($false),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5838, 18, 5837])).
% 19.21/12.83 tff(5840,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 19.21/12.83 tff(5841,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB49) | (~v107(constB49)) | v106(constB49))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB49) | (~v107(constB49)) | v106(constB49))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5842,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB49) | (~v107(constB49)) | v106(constB49))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5843,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB49) | (~v107(constB49)) | v106(constB49)),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5842, 5841])).
% 19.21/12.83 tff(5844,plain,
% 19.21/12.83 ((~v107(constB49)) | v106(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5843, 264, 5840])).
% 19.21/12.83 tff(5845,plain,
% 19.21/12.83 (v106(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5844, 5836])).
% 19.21/12.83 tff(5846,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB49) | (~v106(constB49)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB49) | (~v106(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5847,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB49) | (~v106(constB49)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5848,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB49) | (~v106(constB49))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5847, 5846])).
% 19.21/12.83 tff(5849,plain,
% 19.21/12.83 (v102(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5848, 276, 5845])).
% 19.21/12.83 tff(5850,plain,
% 19.21/12.83 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5851,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 19.21/12.83 tff(5852,plain,
% 19.21/12.83 (nextState(constB49, constB50)),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 19.21/12.83 tff(5853,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5854,plain,
% 19.21/12.83 (((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50)) <=> ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5855,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49))))),
% 19.21/12.83 inference(monotonicity,[status(thm)],[5854])).
% 19.21/12.83 tff(5856,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 19.21/12.83 inference(transitivity,[status(thm)],[5855, 5853])).
% 19.21/12.83 tff(5857,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5858,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5857, 5856])).
% 19.21/12.83 tff(5859,plain,
% 19.21/12.83 (v104(constB50) | (~v102(constB49))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5858, 293, 5852])).
% 19.21/12.83 tff(5860,plain,
% 19.21/12.83 (v104(constB50)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5859, 5849])).
% 19.21/12.83 tff(5861,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5862,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5863,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5862, 5861])).
% 19.21/12.83 tff(5864,plain,
% 19.21/12.83 (~v98(constB50)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5863, 311, 5852, 5739])).
% 19.21/12.83 tff(5865,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5866,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5867,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB49, constB50)) | v96(constB50) | v98(constB50)),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5866, 5865])).
% 19.21/12.83 tff(5868,plain,
% 19.21/12.83 (v96(constB50) | v98(constB50)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5867, 325, 5852])).
% 19.21/12.83 tff(5869,plain,
% 19.21/12.83 (v96(constB50)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5868, 5864])).
% 19.21/12.83 tff(5870,plain,
% 19.21/12.83 (v1(constB50) <=> v1(constB50)),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5871,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 19.21/12.83 tff(5872,plain,
% 19.21/12.83 (v1(constB50)),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 19.21/12.83 tff(5873,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5874,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5875,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5874, 5873])).
% 19.21/12.83 tff(5876,plain,
% 19.21/12.83 (v95(constB50) | (~v96(constB50))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5875, 343, 5852, 5872])).
% 19.21/12.83 tff(5877,plain,
% 19.21/12.83 (v95(constB50)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5876, 5869])).
% 19.21/12.83 tff(5878,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5879,plain,
% 19.21/12.83 (((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50)) <=> ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5880,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50))))),
% 19.21/12.83 inference(monotonicity,[status(thm)],[5879])).
% 19.21/12.83 tff(5881,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 19.21/12.83 inference(transitivity,[status(thm)],[5880, 5878])).
% 19.21/12.83 tff(5882,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5883,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5882, 5881])).
% 19.21/12.83 tff(5884,plain,
% 19.21/12.83 (v94(constB50) | (~v95(constB50)) | (~v104(constB50))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5883, 358, 5852])).
% 19.21/12.83 tff(5885,plain,
% 19.21/12.83 (v94(constB50) | (~v104(constB50))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5884, 5877])).
% 19.21/12.83 tff(5886,plain,
% 19.21/12.83 (v94(constB50)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5885, 5860])).
% 19.21/12.83 tff(5887,plain,
% 19.21/12.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB49, bitIndex1)) | (~v118(constB49)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB49, bitIndex1)) | (~v118(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5888,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB49, bitIndex1)) | (~v118(constB49)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5889,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB49, bitIndex1)) | (~v118(constB49))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 19.21/12.83 tff(5890,plain,
% 19.21/12.83 (~v118(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5889, 2001, 5794])).
% 19.21/12.83 tff(5891,plain,
% 19.21/12.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB49, bitIndex1)) | (~v172(constB49)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB49, bitIndex1)) | (~v172(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5892,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB49, bitIndex1)) | (~v172(constB49)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5893,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB49, bitIndex1)) | (~v172(constB49))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 19.21/12.83 tff(5894,plain,
% 19.21/12.83 (~v172(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5893, 2023, 5794])).
% 19.21/12.83 tff(5895,plain,
% 19.21/12.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB49, bitIndex2)) | (~v115(constB49)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB49, bitIndex2)) | (~v115(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5896,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB49, bitIndex2)) | (~v115(constB49)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5897,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB49, bitIndex2)) | (~v115(constB49))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 19.21/12.83 tff(5898,plain,
% 19.21/12.83 (~v115(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5897, 1965, 5763])).
% 19.21/12.83 tff(5899,plain,
% 19.21/12.83 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB49)) | (~v84(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB49)) | (~v84(constB49, bitIndex1)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5900,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB49)) | (~v84(constB49, bitIndex1)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5901,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB49)) | (~v84(constB49, bitIndex1))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 19.21/12.83 tff(5902,plain,
% 19.21/12.83 (~v113(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5901, 1990, 5794])).
% 19.21/12.83 tff(5903,plain,
% 19.21/12.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB49, bitIndex2)) | (~v116(constB49)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB49, bitIndex2)) | (~v116(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5904,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB49, bitIndex2)) | (~v116(constB49)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5905,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB49, bitIndex2)) | (~v116(constB49))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 19.21/12.83 tff(5906,plain,
% 19.21/12.83 (~v116(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5905, 1976, 5763])).
% 19.21/12.83 tff(5907,plain,
% 19.21/12.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB49, bitIndex1)) | (~v145(constB49)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB49, bitIndex1)) | (~v145(constB49)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5908,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB49, bitIndex1)) | (~v145(constB49)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5909,plain,
% 19.21/12.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB49, bitIndex1)) | (~v145(constB49))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 19.21/12.83 tff(5910,plain,
% 19.21/12.83 (~v145(constB49)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5909, 2012, 5794])).
% 19.21/12.83 tff(5911,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex2)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5912,plain,
% 19.21/12.83 ((v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex2))) <=> (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex2)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5913,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex2))))),
% 19.21/12.83 inference(monotonicity,[status(thm)],[5912])).
% 19.21/12.83 tff(5914,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex2)))),
% 19.21/12.83 inference(transitivity,[status(thm)],[5913, 5911])).
% 19.21/12.83 tff(5915,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex2)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5916,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex2))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 19.21/12.83 tff(5917,plain,
% 19.21/12.83 (~v124(constB49, bitIndex2)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5916, 2037, 5910, 5906, 5902, 5898, 5894, 5890])).
% 19.21/12.83 tff(5918,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5919,plain,
% 19.21/12.83 ((v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2))) <=> ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5920,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2)))),
% 19.21/12.83 inference(monotonicity,[status(thm)],[5919])).
% 19.21/12.83 tff(5921,plain,
% 19.21/12.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 19.21/12.83 inference(transitivity,[status(thm)],[5920, 5918])).
% 19.21/12.83 tff(5922,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5923,plain,
% 19.21/12.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2)),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 19.21/12.83 tff(5924,plain,
% 19.21/12.83 ((~v121(constB49, bitIndex2)) | v124(constB49, bitIndex2)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5923, 391, 5840])).
% 19.21/12.83 tff(5925,plain,
% 19.21/12.83 (~v121(constB49, bitIndex2)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5924, 5917])).
% 19.21/12.83 tff(5926,plain,
% 19.21/12.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5927,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))),
% 19.21/12.83 inference(quant_inst,[status(thm)],[])).
% 19.21/12.83 tff(5928,plain,
% 19.21/12.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2))),
% 19.21/12.83 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 19.21/12.83 tff(5929,plain,
% 19.21/12.83 (v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2))),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5928, 409, 5852])).
% 19.21/12.83 tff(5930,plain,
% 19.21/12.83 (~v123(constB50, bitIndex2)),
% 19.21/12.83 inference(unit_resolution,[status(thm)],[5929, 5925])).
% 19.21/12.83 tff(5931,plain,
% 19.21/12.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5932,plain,
% 19.21/12.83 (((~v84(constB50, bitIndex2)) | (~v94(constB50)) | v123(constB50, bitIndex2)) <=> ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 19.21/12.83 inference(rewrite,[status(thm)],[])).
% 19.21/12.83 tff(5933,plain,
% 19.21/12.83 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | (~v94(constB50)) | v123(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50))))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[5932])).
% 19.21/12.84 tff(5934,plain,
% 19.21/12.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | (~v94(constB50)) | v123(constB50, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 19.21/12.84 inference(transitivity,[status(thm)],[5933, 5931])).
% 19.21/12.84 tff(5935,plain,
% 19.21/12.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB50, bitIndex2)) | (~v94(constB50)) | v123(constB50, bitIndex2))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5936,plain,
% 19.21/12.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 19.21/12.84 tff(5937,plain,
% 19.21/12.84 ((~v84(constB50, bitIndex2)) | (~v94(constB50))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5936, 424, 5930])).
% 19.21/12.84 tff(5938,plain,
% 19.21/12.84 (~v84(constB50, bitIndex2)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5937, 5886])).
% 19.21/12.84 tff(5939,plain,
% 19.21/12.84 ((~v1(constB51)) <=> (~v1(constB51))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5940,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 19.21/12.84 tff(5941,plain,
% 19.21/12.84 (~v1(constB51)),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5940, 5939])).
% 19.21/12.84 tff(5942,plain,
% 19.21/12.84 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5943,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 19.21/12.84 tff(5944,plain,
% 19.21/12.84 (nextState(constB50, constB51)),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5943, 5942])).
% 19.21/12.84 tff(5945,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5946,plain,
% 19.21/12.84 (((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5947,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51))))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[5946])).
% 19.21/12.84 tff(5948,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 19.21/12.84 inference(transitivity,[status(thm)],[5947, 5945])).
% 19.21/12.84 tff(5949,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5950,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 19.21/12.84 tff(5951,plain,
% 19.21/12.84 (~v95(constB51)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5950, 89, 5944, 5941])).
% 19.21/12.84 tff(5952,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5953,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5954,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5953, 5952])).
% 19.21/12.84 tff(5955,plain,
% 19.21/12.84 (v95(constB51) | (~v94(constB51))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5954, 106, 5944])).
% 19.21/12.84 tff(5956,plain,
% 19.21/12.84 (~v94(constB51)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5955, 5951])).
% 19.21/12.84 tff(5957,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5958,plain,
% 19.21/12.84 (((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2))) <=> (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5959,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2))))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[5958])).
% 19.21/12.84 tff(5960,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 19.21/12.84 inference(transitivity,[status(thm)],[5959, 5957])).
% 19.21/12.84 tff(5961,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5962,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5961, 5960])).
% 19.21/12.84 tff(5963,plain,
% 19.21/12.84 (v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5962, 121, 5944])).
% 19.21/12.84 tff(5964,plain,
% 19.21/12.84 (v84(constB50, bitIndex2) | (~v84(constB51, bitIndex2))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5963, 5956])).
% 19.21/12.84 tff(5965,plain,
% 19.21/12.84 (~v84(constB51, bitIndex2)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5964, 5938])).
% 19.21/12.84 tff(5966,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex1)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5967,plain,
% 19.21/12.84 ((v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex1))) <=> (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex1)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5968,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex1))))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[5967])).
% 19.21/12.84 tff(5969,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex1)))),
% 19.21/12.84 inference(transitivity,[status(thm)],[5968, 5966])).
% 19.21/12.84 tff(5970,plain,
% 19.21/12.84 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex1)))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5971,plain,
% 19.21/12.84 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | (~v124(constB49, bitIndex1))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5970, 5969])).
% 19.21/12.84 tff(5972,plain,
% 19.21/12.84 (~v124(constB49, bitIndex1)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5971, 2102, 5910, 5906, 5902, 5898, 5894, 5890])).
% 19.21/12.84 tff(5973,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5974,plain,
% 19.21/12.84 ((v26(constB49) | v124(constB49, bitIndex1) | (~v121(constB49, bitIndex1))) <=> ((~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5975,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB49) | v124(constB49, bitIndex1) | (~v121(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1)))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[5974])).
% 19.21/12.84 tff(5976,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB49) | v124(constB49, bitIndex1) | (~v121(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1))),
% 19.21/12.84 inference(transitivity,[status(thm)],[5975, 5973])).
% 19.21/12.84 tff(5977,plain,
% 19.21/12.84 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB49) | v124(constB49, bitIndex1) | (~v121(constB49, bitIndex1)))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5978,plain,
% 19.21/12.84 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1)),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5977, 5976])).
% 19.21/12.84 tff(5979,plain,
% 19.21/12.84 ((~v121(constB49, bitIndex1)) | v124(constB49, bitIndex1)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5978, 483, 5840])).
% 19.21/12.84 tff(5980,plain,
% 19.21/12.84 (~v121(constB49, bitIndex1)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5979, 5972])).
% 19.21/12.84 tff(5981,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5982,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1)))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5983,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 19.21/12.84 tff(5984,plain,
% 19.21/12.84 (v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5983, 501, 5852])).
% 19.21/12.84 tff(5985,plain,
% 19.21/12.84 (~v123(constB50, bitIndex1)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5984, 5980])).
% 19.21/12.84 tff(5986,plain,
% 19.21/12.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5987,plain,
% 19.21/12.84 (((~v84(constB50, bitIndex1)) | (~v94(constB50)) | v123(constB50, bitIndex1)) <=> ((~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5988,plain,
% 19.21/12.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~v94(constB50)) | v123(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50))))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[5987])).
% 19.21/12.84 tff(5989,plain,
% 19.21/12.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~v94(constB50)) | v123(constB50, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50)))),
% 19.21/12.84 inference(transitivity,[status(thm)],[5988, 5986])).
% 19.21/12.84 tff(5990,plain,
% 19.21/12.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~v94(constB50)) | v123(constB50, bitIndex1))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5991,plain,
% 19.21/12.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 19.21/12.84 tff(5992,plain,
% 19.21/12.84 ((~v84(constB50, bitIndex1)) | (~v94(constB50))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5991, 516, 5985])).
% 19.21/12.84 tff(5993,plain,
% 19.21/12.84 (~v84(constB50, bitIndex1)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5992, 5886])).
% 19.21/12.84 tff(5994,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5995,plain,
% 19.21/12.84 (((~nextState(constB50, constB51)) | v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1))) <=> (v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(5996,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1))))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[5995])).
% 19.21/12.84 tff(5997,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1)))),
% 19.21/12.84 inference(transitivity,[status(thm)],[5996, 5994])).
% 19.21/12.84 tff(5998,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1)))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(5999,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 19.21/12.84 tff(6000,plain,
% 19.21/12.84 (v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[5999, 142, 5944])).
% 19.21/12.84 tff(6001,plain,
% 19.21/12.84 (v84(constB50, bitIndex1) | (~v84(constB51, bitIndex1))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6000, 5956])).
% 19.21/12.84 tff(6002,plain,
% 19.21/12.84 (~v84(constB51, bitIndex1)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6001, 5993])).
% 19.21/12.84 tff(6003,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | v124(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | v124(constB49, bitIndex0))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(6004,plain,
% 19.21/12.84 ((v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | v124(constB49, bitIndex0)) <=> (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | v124(constB49, bitIndex0))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(6005,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | v124(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | v124(constB49, bitIndex0)))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[6004])).
% 19.21/12.84 tff(6006,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | v124(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | v124(constB49, bitIndex0))),
% 19.21/12.84 inference(transitivity,[status(thm)],[6005, 6003])).
% 19.21/12.84 tff(6007,plain,
% 19.21/12.84 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | v124(constB49, bitIndex0))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(6008,plain,
% 19.21/12.84 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB49) | v172(constB49) | v113(constB49) | v118(constB49) | v115(constB49) | v116(constB49) | v124(constB49, bitIndex0)),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 19.21/12.84 tff(6009,plain,
% 19.21/12.84 (v124(constB49, bitIndex0)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6008, 2149, 5910, 5906, 5902, 5898, 5894, 5890])).
% 19.21/12.84 tff(6010,plain,
% 19.21/12.84 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(6011,plain,
% 19.21/12.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(6012,plain,
% 19.21/12.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0)),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[6011, 6010])).
% 19.21/12.84 tff(6013,plain,
% 19.21/12.84 ((~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6012, 557, 5840])).
% 19.21/12.84 tff(6014,plain,
% 19.21/12.84 (v121(constB49, bitIndex0)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6013, 6009])).
% 19.21/12.84 tff(6015,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(6016,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(6017,plain,
% 19.21/12.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0)),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[6016, 6015])).
% 19.21/12.84 tff(6018,plain,
% 19.21/12.84 ((~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6017, 572, 5852])).
% 19.21/12.84 tff(6019,plain,
% 19.21/12.84 (v123(constB50, bitIndex0)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6018, 6014])).
% 19.21/12.84 tff(6020,plain,
% 19.21/12.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(6021,plain,
% 19.21/12.84 ((v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0))) <=> (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(6022,plain,
% 19.21/12.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50))))),
% 19.21/12.84 inference(monotonicity,[status(thm)],[6021])).
% 19.21/12.84 tff(6023,plain,
% 19.21/12.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 19.21/12.84 inference(transitivity,[status(thm)],[6022, 6020])).
% 19.21/12.84 tff(6024,plain,
% 19.21/12.84 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))),
% 19.21/12.84 inference(quant_inst,[status(thm)],[])).
% 19.21/12.84 tff(6025,plain,
% 19.21/12.84 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50))),
% 19.21/12.84 inference(modus_ponens,[status(thm)],[6024, 6023])).
% 19.21/12.84 tff(6026,plain,
% 19.21/12.84 (v84(constB50, bitIndex0) | (~v94(constB50))),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6025, 587, 6019])).
% 19.21/12.84 tff(6027,plain,
% 19.21/12.84 (v84(constB50, bitIndex0)),
% 19.21/12.84 inference(unit_resolution,[status(thm)],[6026, 5886])).
% 19.21/12.84 tff(6028,plain,
% 19.21/12.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 19.21/12.84 inference(rewrite,[status(thm)],[])).
% 19.21/12.84 tff(6029,plain,
% 19.21/12.84 (((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0)) <=> ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6030,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0)))),
% 19.21/12.85 inference(monotonicity,[status(thm)],[6029])).
% 19.21/12.85 tff(6031,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 19.21/12.85 inference(transitivity,[status(thm)],[6030, 6028])).
% 19.21/12.85 tff(6032,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6033,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6032, 6031])).
% 19.21/12.85 tff(6034,plain,
% 19.21/12.85 ((~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6033, 605, 5944])).
% 19.21/12.85 tff(6035,plain,
% 19.21/12.85 ((~v84(constB50, bitIndex0)) | v84(constB51, bitIndex0)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6034, 5956])).
% 19.21/12.85 tff(6036,plain,
% 19.21/12.85 (v84(constB51, bitIndex0)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6035, 6027])).
% 19.21/12.85 tff(6037,plain,
% 19.21/12.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB51, bitIndex0)) | v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | v145(constB51))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB51, bitIndex0)) | v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | v145(constB51))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6038,plain,
% 19.21/12.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB51, bitIndex0)) | v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | v145(constB51))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6039,plain,
% 19.21/12.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB51, bitIndex0)) | v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | v145(constB51)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 19.21/12.85 tff(6040,plain,
% 19.21/12.85 (v145(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6039, 624, 6036, 6002, 5965])).
% 19.21/12.85 tff(6041,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB51) | (~v145(constB51)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB51) | (~v145(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6042,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB51) | (~v145(constB51)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6043,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB51) | (~v145(constB51))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 19.21/12.85 tff(6044,plain,
% 19.21/12.85 (v112(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6043, 681, 6040])).
% 19.21/12.85 tff(6045,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB51) | (~v112(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6046,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB51) | (~v112(constB51)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6047,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB51) | (~v112(constB51))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 19.21/12.85 tff(6048,plain,
% 19.21/12.85 (v111(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6047, 206, 6044])).
% 19.21/12.85 tff(6049,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB51) | (~v111(constB51)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB51) | (~v111(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6050,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB51) | (~v111(constB51)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6051,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB51) | (~v111(constB51))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 19.21/12.85 tff(6052,plain,
% 19.21/12.85 (v110(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6051, 217, 6048])).
% 19.21/12.85 tff(6053,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB51) | (~v110(constB51)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB51) | (~v110(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6054,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB51) | (~v110(constB51)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6055,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB51) | (~v110(constB51))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 19.21/12.85 tff(6056,plain,
% 19.21/12.85 (v109(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6055, 228, 6052])).
% 19.21/12.85 tff(6057,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB51) | (~v109(constB51)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB51) | (~v109(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6058,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB51) | (~v109(constB51)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6059,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB51) | (~v109(constB51))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 19.21/12.85 tff(6060,plain,
% 19.21/12.85 (v108(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6059, 239, 6056])).
% 19.21/12.85 tff(6061,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB51) | (~v108(constB51)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB51) | (~v108(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6062,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB51) | (~v108(constB51)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6063,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB51) | (~v108(constB51))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 19.21/12.85 tff(6064,plain,
% 19.21/12.85 (v107(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6063, 250, 6060])).
% 19.21/12.85 tff(6065,assumption,(v26(constB51)), introduced(assumption)).
% 19.21/12.85 tff(6066,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6067,plain,
% 19.21/12.85 ($false),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6066, 18, 6065])).
% 19.21/12.85 tff(6068,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 19.21/12.85 tff(6069,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB51) | (~v107(constB51)) | v106(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB51) | (~v107(constB51)) | v106(constB51))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6070,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB51) | (~v107(constB51)) | v106(constB51))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6071,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB51) | (~v107(constB51)) | v106(constB51)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6070, 6069])).
% 19.21/12.85 tff(6072,plain,
% 19.21/12.85 ((~v107(constB51)) | v106(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6071, 264, 6068])).
% 19.21/12.85 tff(6073,plain,
% 19.21/12.85 (v106(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6072, 6064])).
% 19.21/12.85 tff(6074,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB51) | (~v106(constB51)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB51) | (~v106(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6075,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB51) | (~v106(constB51)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6076,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB51) | (~v106(constB51))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 19.21/12.85 tff(6077,plain,
% 19.21/12.85 (v102(constB51)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6076, 276, 6073])).
% 19.21/12.85 tff(6078,plain,
% 19.21/12.85 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6079,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 19.21/12.85 tff(6080,plain,
% 19.21/12.85 (nextState(constB51, constB52)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6079, 6078])).
% 19.21/12.85 tff(6081,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6082,plain,
% 19.21/12.85 (((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52)) <=> ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6083,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51))))),
% 19.21/12.85 inference(monotonicity,[status(thm)],[6082])).
% 19.21/12.85 tff(6084,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 19.21/12.85 inference(transitivity,[status(thm)],[6083, 6081])).
% 19.21/12.85 tff(6085,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6086,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 19.21/12.85 tff(6087,plain,
% 19.21/12.85 (v104(constB52) | (~v102(constB51))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6086, 293, 6080])).
% 19.21/12.85 tff(6088,plain,
% 19.21/12.85 (v104(constB52)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6087, 6077])).
% 19.21/12.85 tff(6089,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6090,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6091,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6090, 6089])).
% 19.21/12.85 tff(6092,plain,
% 19.21/12.85 (~v98(constB52)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6091, 311, 6080, 5941])).
% 19.21/12.85 tff(6093,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6094,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6095,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB51, constB52)) | v96(constB52) | v98(constB52)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 19.21/12.85 tff(6096,plain,
% 19.21/12.85 (v96(constB52) | v98(constB52)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6095, 325, 6080])).
% 19.21/12.85 tff(6097,plain,
% 19.21/12.85 (v96(constB52)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6096, 6092])).
% 19.21/12.85 tff(6098,plain,
% 19.21/12.85 (v1(constB52) <=> v1(constB52)),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6099,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 19.21/12.85 tff(6100,plain,
% 19.21/12.85 (v1(constB52)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 19.21/12.85 tff(6101,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6102,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6103,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6102, 6101])).
% 19.21/12.85 tff(6104,plain,
% 19.21/12.85 (v95(constB52) | (~v96(constB52))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6103, 343, 6080, 6100])).
% 19.21/12.85 tff(6105,plain,
% 19.21/12.85 (v95(constB52)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6104, 6097])).
% 19.21/12.85 tff(6106,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6107,plain,
% 19.21/12.85 (((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52)) <=> ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6108,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52))))),
% 19.21/12.85 inference(monotonicity,[status(thm)],[6107])).
% 19.21/12.85 tff(6109,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 19.21/12.85 inference(transitivity,[status(thm)],[6108, 6106])).
% 19.21/12.85 tff(6110,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6111,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6110, 6109])).
% 19.21/12.85 tff(6112,plain,
% 19.21/12.85 (v94(constB52) | (~v95(constB52)) | (~v104(constB52))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6111, 358, 6080])).
% 19.21/12.85 tff(6113,plain,
% 19.21/12.85 (v94(constB52) | (~v104(constB52))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6112, 6105])).
% 19.21/12.85 tff(6114,plain,
% 19.21/12.85 (v94(constB52)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6113, 6088])).
% 19.21/12.85 tff(6115,plain,
% 19.21/12.85 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB51)) | (~v124(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB51)) | (~v124(constB51, bitIndex2)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6116,plain,
% 19.21/12.85 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB51)) | (~v124(constB51, bitIndex2)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6117,plain,
% 19.21/12.85 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB51)) | (~v124(constB51, bitIndex2))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 19.21/12.85 tff(6118,plain,
% 19.21/12.85 (~v124(constB51, bitIndex2)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6117, 638, 6040])).
% 19.21/12.85 tff(6119,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6120,plain,
% 19.21/12.85 ((v26(constB51) | v124(constB51, bitIndex2) | (~v121(constB51, bitIndex2))) <=> ((~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6121,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB51) | v124(constB51, bitIndex2) | (~v121(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2)))),
% 19.21/12.85 inference(monotonicity,[status(thm)],[6120])).
% 19.21/12.85 tff(6122,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB51) | v124(constB51, bitIndex2) | (~v121(constB51, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2))),
% 19.21/12.85 inference(transitivity,[status(thm)],[6121, 6119])).
% 19.21/12.85 tff(6123,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB51) | v124(constB51, bitIndex2) | (~v121(constB51, bitIndex2)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6124,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 19.21/12.85 tff(6125,plain,
% 19.21/12.85 ((~v121(constB51, bitIndex2)) | v124(constB51, bitIndex2)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6124, 391, 6068])).
% 19.21/12.85 tff(6126,plain,
% 19.21/12.85 (~v121(constB51, bitIndex2)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6125, 6118])).
% 19.21/12.85 tff(6127,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6128,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6129,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6128, 6127])).
% 19.21/12.85 tff(6130,plain,
% 19.21/12.85 (v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6129, 409, 6080])).
% 19.21/12.85 tff(6131,plain,
% 19.21/12.85 (~v123(constB52, bitIndex2)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6130, 6126])).
% 19.21/12.85 tff(6132,plain,
% 19.21/12.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6133,plain,
% 19.21/12.85 (((~v84(constB52, bitIndex2)) | (~v94(constB52)) | v123(constB52, bitIndex2)) <=> ((~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6134,plain,
% 19.21/12.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | (~v94(constB52)) | v123(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52))))),
% 19.21/12.85 inference(monotonicity,[status(thm)],[6133])).
% 19.21/12.85 tff(6135,plain,
% 19.21/12.85 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | (~v94(constB52)) | v123(constB52, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52)))),
% 19.21/12.85 inference(transitivity,[status(thm)],[6134, 6132])).
% 19.21/12.85 tff(6136,plain,
% 19.21/12.85 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB52, bitIndex2)) | (~v94(constB52)) | v123(constB52, bitIndex2))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6137,plain,
% 19.21/12.85 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6136, 6135])).
% 19.21/12.85 tff(6138,plain,
% 19.21/12.85 ((~v84(constB52, bitIndex2)) | (~v94(constB52))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6137, 424, 6131])).
% 19.21/12.85 tff(6139,plain,
% 19.21/12.85 (~v84(constB52, bitIndex2)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6138, 6114])).
% 19.21/12.85 tff(6140,plain,
% 19.21/12.85 ((~v1(constB53)) <=> (~v1(constB53))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6141,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 19.21/12.85 tff(6142,plain,
% 19.21/12.85 (~v1(constB53)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6141, 6140])).
% 19.21/12.85 tff(6143,plain,
% 19.21/12.85 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6144,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 19.21/12.85 tff(6145,plain,
% 19.21/12.85 (nextState(constB52, constB53)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6144, 6143])).
% 19.21/12.85 tff(6146,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6147,plain,
% 19.21/12.85 (((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6148,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53))))),
% 19.21/12.85 inference(monotonicity,[status(thm)],[6147])).
% 19.21/12.85 tff(6149,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 19.21/12.85 inference(transitivity,[status(thm)],[6148, 6146])).
% 19.21/12.85 tff(6150,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6151,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6150, 6149])).
% 19.21/12.85 tff(6152,plain,
% 19.21/12.85 (~v95(constB53)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6151, 89, 6145, 6142])).
% 19.21/12.85 tff(6153,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6154,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6155,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6154, 6153])).
% 19.21/12.85 tff(6156,plain,
% 19.21/12.85 (v95(constB53) | (~v94(constB53))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6155, 106, 6145])).
% 19.21/12.85 tff(6157,plain,
% 19.21/12.85 (~v94(constB53)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6156, 6152])).
% 19.21/12.85 tff(6158,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6159,plain,
% 19.21/12.85 (((~nextState(constB52, constB53)) | v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2))) <=> (v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6160,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2))))),
% 19.21/12.85 inference(monotonicity,[status(thm)],[6159])).
% 19.21/12.85 tff(6161,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2)))),
% 19.21/12.85 inference(transitivity,[status(thm)],[6160, 6158])).
% 19.21/12.85 tff(6162,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2)))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6163,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2))),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6162, 6161])).
% 19.21/12.85 tff(6164,plain,
% 19.21/12.85 (v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6163, 121, 6145])).
% 19.21/12.85 tff(6165,plain,
% 19.21/12.85 (v84(constB52, bitIndex2) | (~v84(constB53, bitIndex2))),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6164, 6157])).
% 19.21/12.85 tff(6166,plain,
% 19.21/12.85 (~v84(constB53, bitIndex2)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6165, 6139])).
% 19.21/12.85 tff(6167,plain,
% 19.21/12.85 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB51)) | v124(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB51)) | v124(constB51, bitIndex1))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6168,plain,
% 19.21/12.85 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB51)) | v124(constB51, bitIndex1))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6169,plain,
% 19.21/12.85 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB51)) | v124(constB51, bitIndex1)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6168, 6167])).
% 19.21/12.85 tff(6170,plain,
% 19.21/12.85 (v124(constB51, bitIndex1)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6169, 790, 6040])).
% 19.21/12.85 tff(6171,plain,
% 19.21/12.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB51) | (~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB51) | (~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6172,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB51) | (~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6173,plain,
% 19.21/12.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB51) | (~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 19.21/12.85 tff(6174,plain,
% 19.21/12.85 ((~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6173, 804, 6068])).
% 19.21/12.85 tff(6175,plain,
% 19.21/12.85 (v121(constB51, bitIndex1)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6174, 6170])).
% 19.21/12.85 tff(6176,plain,
% 19.21/12.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6177,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1))),
% 19.21/12.85 inference(quant_inst,[status(thm)],[])).
% 19.21/12.85 tff(6178,plain,
% 19.21/12.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1)),
% 19.21/12.85 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 19.21/12.85 tff(6179,plain,
% 19.21/12.85 ((~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6178, 819, 6080])).
% 19.21/12.85 tff(6180,plain,
% 19.21/12.85 (v123(constB52, bitIndex1)),
% 19.21/12.85 inference(unit_resolution,[status(thm)],[6179, 6175])).
% 19.21/12.85 tff(6181,plain,
% 19.21/12.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6182,plain,
% 19.21/12.85 ((v84(constB52, bitIndex1) | (~v94(constB52)) | (~v123(constB52, bitIndex1))) <=> (v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52)))),
% 19.21/12.85 inference(rewrite,[status(thm)],[])).
% 19.21/12.85 tff(6183,plain,
% 19.21/12.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v94(constB52)) | (~v123(constB52, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52))))),
% 19.21/12.85 inference(monotonicity,[status(thm)],[6182])).
% 19.21/12.85 tff(6184,plain,
% 19.21/12.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v94(constB52)) | (~v123(constB52, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52)))),
% 19.21/12.85 inference(transitivity,[status(thm)],[6183, 6181])).
% 19.21/12.85 tff(6185,plain,
% 19.21/12.86 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v94(constB52)) | (~v123(constB52, bitIndex1)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6186,plain,
% 19.21/12.86 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6185, 6184])).
% 19.21/12.86 tff(6187,plain,
% 19.21/12.86 (v84(constB52, bitIndex1) | (~v94(constB52))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6186, 834, 6180])).
% 19.21/12.86 tff(6188,plain,
% 19.21/12.86 (v84(constB52, bitIndex1)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6187, 6114])).
% 19.21/12.86 tff(6189,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6190,plain,
% 19.21/12.86 (((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1)) <=> ((~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6191,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1)))),
% 19.21/12.86 inference(monotonicity,[status(thm)],[6190])).
% 19.21/12.86 tff(6192,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1))),
% 19.21/12.86 inference(transitivity,[status(thm)],[6191, 6189])).
% 19.21/12.86 tff(6193,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6194,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1)),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6193, 6192])).
% 19.21/12.86 tff(6195,plain,
% 19.21/12.86 ((~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6194, 852, 6145])).
% 19.21/12.86 tff(6196,plain,
% 19.21/12.86 ((~v84(constB52, bitIndex1)) | v84(constB53, bitIndex1)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6195, 6157])).
% 19.21/12.86 tff(6197,plain,
% 19.21/12.86 (v84(constB53, bitIndex1)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6196, 6188])).
% 19.21/12.86 tff(6198,plain,
% 19.21/12.86 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB51)) | (~v124(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB51)) | (~v124(constB51, bitIndex0)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6199,plain,
% 19.21/12.86 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB51)) | (~v124(constB51, bitIndex0)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6200,plain,
% 19.21/12.86 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB51)) | (~v124(constB51, bitIndex0))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6199, 6198])).
% 19.21/12.86 tff(6201,plain,
% 19.21/12.86 (~v124(constB51, bitIndex0)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6200, 871, 6040])).
% 19.21/12.86 tff(6202,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6203,plain,
% 19.21/12.86 ((v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0))) <=> ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6204,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0)))),
% 19.21/12.86 inference(monotonicity,[status(thm)],[6203])).
% 19.21/12.86 tff(6205,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 19.21/12.86 inference(transitivity,[status(thm)],[6204, 6202])).
% 19.21/12.86 tff(6206,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6207,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0)),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 19.21/12.86 tff(6208,plain,
% 19.21/12.86 ((~v121(constB51, bitIndex0)) | v124(constB51, bitIndex0)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6207, 885, 6068])).
% 19.21/12.86 tff(6209,plain,
% 19.21/12.86 (~v121(constB51, bitIndex0)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6208, 6201])).
% 19.21/12.86 tff(6210,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6211,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6212,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6211, 6210])).
% 19.21/12.86 tff(6213,plain,
% 19.21/12.86 (v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6212, 903, 6080])).
% 19.21/12.86 tff(6214,plain,
% 19.21/12.86 (~v123(constB52, bitIndex0)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6213, 6209])).
% 19.21/12.86 tff(6215,plain,
% 19.21/12.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6216,plain,
% 19.21/12.86 (((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0)) <=> ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6217,plain,
% 19.21/12.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52))))),
% 19.21/12.86 inference(monotonicity,[status(thm)],[6216])).
% 19.21/12.86 tff(6218,plain,
% 19.21/12.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 19.21/12.86 inference(transitivity,[status(thm)],[6217, 6215])).
% 19.21/12.86 tff(6219,plain,
% 19.21/12.86 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6220,plain,
% 19.21/12.86 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6219, 6218])).
% 19.21/12.86 tff(6221,plain,
% 19.21/12.86 ((~v84(constB52, bitIndex0)) | (~v94(constB52))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6220, 918, 6214])).
% 19.21/12.86 tff(6222,plain,
% 19.21/12.86 (~v84(constB52, bitIndex0)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6221, 6114])).
% 19.21/12.86 tff(6223,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6224,plain,
% 19.21/12.86 (((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0))) <=> (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6225,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0))))),
% 19.21/12.86 inference(monotonicity,[status(thm)],[6224])).
% 19.21/12.86 tff(6226,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 19.21/12.86 inference(transitivity,[status(thm)],[6225, 6223])).
% 19.21/12.86 tff(6227,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6228,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6227, 6226])).
% 19.21/12.86 tff(6229,plain,
% 19.21/12.86 (v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6228, 163, 6145])).
% 19.21/12.86 tff(6230,plain,
% 19.21/12.86 (v84(constB52, bitIndex0) | (~v84(constB53, bitIndex0))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6229, 6157])).
% 19.21/12.86 tff(6231,plain,
% 19.21/12.86 (~v84(constB53, bitIndex0)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6230, 6222])).
% 19.21/12.86 tff(6232,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6233,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6234,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53)),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 19.21/12.86 tff(6235,plain,
% 19.21/12.86 (v115(constB53)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6234, 945, 6231, 6197, 6166])).
% 19.21/12.86 tff(6236,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB53) | (~v115(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6237,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB53) | (~v115(constB53)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6238,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB53) | (~v115(constB53))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 19.21/12.86 tff(6239,plain,
% 19.21/12.86 (v111(constB53)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6238, 956, 6235])).
% 19.21/12.86 tff(6240,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB53) | (~v111(constB53)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB53) | (~v111(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6241,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB53) | (~v111(constB53)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6242,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB53) | (~v111(constB53))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 19.21/12.86 tff(6243,plain,
% 19.21/12.86 (v110(constB53)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6242, 217, 6239])).
% 19.21/12.86 tff(6244,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB53) | (~v110(constB53)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB53) | (~v110(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6245,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB53) | (~v110(constB53)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6246,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB53) | (~v110(constB53))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 19.21/12.86 tff(6247,plain,
% 19.21/12.86 (v109(constB53)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6246, 228, 6243])).
% 19.21/12.86 tff(6248,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB53) | (~v109(constB53)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB53) | (~v109(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6249,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB53) | (~v109(constB53)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6250,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB53) | (~v109(constB53))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6249, 6248])).
% 19.21/12.86 tff(6251,plain,
% 19.21/12.86 (v108(constB53)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6250, 239, 6247])).
% 19.21/12.86 tff(6252,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB53) | (~v108(constB53)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB53) | (~v108(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6253,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB53) | (~v108(constB53)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6254,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB53) | (~v108(constB53))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 19.21/12.86 tff(6255,plain,
% 19.21/12.86 (v107(constB53)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6254, 250, 6251])).
% 19.21/12.86 tff(6256,assumption,(v26(constB53)), introduced(assumption)).
% 19.21/12.86 tff(6257,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6258,plain,
% 19.21/12.86 ($false),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6257, 18, 6256])).
% 19.21/12.86 tff(6259,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 19.21/12.86 tff(6260,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | v106(constB53) | (~v107(constB53)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6261,plain,
% 19.21/12.86 ((v26(constB53) | (~v107(constB53)) | v106(constB53)) <=> (v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6262,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | v106(constB53) | (~v107(constB53))))),
% 19.21/12.86 inference(monotonicity,[status(thm)],[6261])).
% 19.21/12.86 tff(6263,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 19.21/12.86 inference(transitivity,[status(thm)],[6262, 6260])).
% 19.21/12.86 tff(6264,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6265,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 19.21/12.86 tff(6266,plain,
% 19.21/12.86 (v106(constB53) | (~v107(constB53))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6265, 264, 6259])).
% 19.21/12.86 tff(6267,plain,
% 19.21/12.86 (v106(constB53)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6266, 6255])).
% 19.21/12.86 tff(6268,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB53) | (~v106(constB53)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB53) | (~v106(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6269,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB53) | (~v106(constB53)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6270,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB53) | (~v106(constB53))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 19.21/12.86 tff(6271,plain,
% 19.21/12.86 (v102(constB53)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6270, 276, 6267])).
% 19.21/12.86 tff(6272,plain,
% 19.21/12.86 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6273,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 19.21/12.86 tff(6274,plain,
% 19.21/12.86 (nextState(constB53, constB54)),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6273, 6272])).
% 19.21/12.86 tff(6275,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6276,plain,
% 19.21/12.86 (((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54)) <=> ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6277,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53))))),
% 19.21/12.86 inference(monotonicity,[status(thm)],[6276])).
% 19.21/12.86 tff(6278,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 19.21/12.86 inference(transitivity,[status(thm)],[6277, 6275])).
% 19.21/12.86 tff(6279,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6280,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6279, 6278])).
% 19.21/12.86 tff(6281,plain,
% 19.21/12.86 (v104(constB54) | (~v102(constB53))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6280, 293, 6274])).
% 19.21/12.86 tff(6282,plain,
% 19.21/12.86 (v104(constB54)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6281, 6271])).
% 19.21/12.86 tff(6283,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6284,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6285,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6284, 6283])).
% 19.21/12.86 tff(6286,plain,
% 19.21/12.86 (~v98(constB54)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6285, 311, 6274, 6142])).
% 19.21/12.86 tff(6287,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6288,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6289,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB53, constB54)) | v96(constB54) | v98(constB54)),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6288, 6287])).
% 19.21/12.86 tff(6290,plain,
% 19.21/12.86 (v96(constB54) | v98(constB54)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6289, 325, 6274])).
% 19.21/12.86 tff(6291,plain,
% 19.21/12.86 (v96(constB54)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6290, 6286])).
% 19.21/12.86 tff(6292,plain,
% 19.21/12.86 (v1(constB54) <=> v1(constB54)),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6293,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 19.21/12.86 tff(6294,plain,
% 19.21/12.86 (v1(constB54)),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 19.21/12.86 tff(6295,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6296,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6297,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6296, 6295])).
% 19.21/12.86 tff(6298,plain,
% 19.21/12.86 (v95(constB54) | (~v96(constB54))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6297, 343, 6274, 6294])).
% 19.21/12.86 tff(6299,plain,
% 19.21/12.86 (v95(constB54)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6298, 6291])).
% 19.21/12.86 tff(6300,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6301,plain,
% 19.21/12.86 (((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54)) <=> ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6302,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54))))),
% 19.21/12.86 inference(monotonicity,[status(thm)],[6301])).
% 19.21/12.86 tff(6303,plain,
% 19.21/12.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 19.21/12.86 inference(transitivity,[status(thm)],[6302, 6300])).
% 19.21/12.86 tff(6304,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6305,plain,
% 19.21/12.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6304, 6303])).
% 19.21/12.86 tff(6306,plain,
% 19.21/12.86 (v94(constB54) | (~v95(constB54)) | (~v104(constB54))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6305, 358, 6274])).
% 19.21/12.86 tff(6307,plain,
% 19.21/12.86 (v94(constB54) | (~v104(constB54))),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6306, 6299])).
% 19.21/12.86 tff(6308,plain,
% 19.21/12.86 (v94(constB54)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6307, 6282])).
% 19.21/12.86 tff(6309,plain,
% 19.21/12.86 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB53)) | (~v124(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB53)) | (~v124(constB53, bitIndex2)))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6310,plain,
% 19.21/12.86 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB53)) | (~v124(constB53, bitIndex2)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6311,plain,
% 19.21/12.86 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB53)) | (~v124(constB53, bitIndex2))),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6310, 6309])).
% 19.21/12.86 tff(6312,plain,
% 19.21/12.86 (~v124(constB53, bitIndex2)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6311, 1032, 6235])).
% 19.21/12.86 tff(6313,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6314,plain,
% 19.21/12.86 ((v26(constB53) | v124(constB53, bitIndex2) | (~v121(constB53, bitIndex2))) <=> ((~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2))),
% 19.21/12.86 inference(rewrite,[status(thm)],[])).
% 19.21/12.86 tff(6315,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB53) | v124(constB53, bitIndex2) | (~v121(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2)))),
% 19.21/12.86 inference(monotonicity,[status(thm)],[6314])).
% 19.21/12.86 tff(6316,plain,
% 19.21/12.86 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB53) | v124(constB53, bitIndex2) | (~v121(constB53, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2))),
% 19.21/12.86 inference(transitivity,[status(thm)],[6315, 6313])).
% 19.21/12.86 tff(6317,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB53) | v124(constB53, bitIndex2) | (~v121(constB53, bitIndex2)))),
% 19.21/12.86 inference(quant_inst,[status(thm)],[])).
% 19.21/12.86 tff(6318,plain,
% 19.21/12.86 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2)),
% 19.21/12.86 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 19.21/12.86 tff(6319,plain,
% 19.21/12.86 ((~v121(constB53, bitIndex2)) | v124(constB53, bitIndex2)),
% 19.21/12.86 inference(unit_resolution,[status(thm)],[6318, 391, 6259])).
% 19.21/12.87 tff(6320,plain,
% 19.21/12.87 (~v121(constB53, bitIndex2)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6319, 6312])).
% 19.21/12.87 tff(6321,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6322,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6323,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6322, 6321])).
% 19.21/12.87 tff(6324,plain,
% 19.21/12.87 (v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2))),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6323, 409, 6274])).
% 19.21/12.87 tff(6325,plain,
% 19.21/12.87 (~v123(constB54, bitIndex2)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6324, 6320])).
% 19.21/12.87 tff(6326,plain,
% 19.21/12.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6327,plain,
% 19.21/12.87 (((~v84(constB54, bitIndex2)) | (~v94(constB54)) | v123(constB54, bitIndex2)) <=> ((~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6328,plain,
% 19.21/12.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | (~v94(constB54)) | v123(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54))))),
% 19.21/12.87 inference(monotonicity,[status(thm)],[6327])).
% 19.21/12.87 tff(6329,plain,
% 19.21/12.87 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | (~v94(constB54)) | v123(constB54, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54)))),
% 19.21/12.87 inference(transitivity,[status(thm)],[6328, 6326])).
% 19.21/12.87 tff(6330,plain,
% 19.21/12.87 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB54, bitIndex2)) | (~v94(constB54)) | v123(constB54, bitIndex2))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6331,plain,
% 19.21/12.87 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6330, 6329])).
% 19.21/12.87 tff(6332,plain,
% 19.21/12.87 ((~v84(constB54, bitIndex2)) | (~v94(constB54))),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6331, 424, 6325])).
% 19.21/12.87 tff(6333,plain,
% 19.21/12.87 (~v84(constB54, bitIndex2)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6332, 6308])).
% 19.21/12.87 tff(6334,plain,
% 19.21/12.87 ((~v1(constB55)) <=> (~v1(constB55))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6335,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 19.21/12.87 tff(6336,plain,
% 19.21/12.87 (~v1(constB55)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6335, 6334])).
% 19.21/12.87 tff(6337,plain,
% 19.21/12.87 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6338,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 19.21/12.87 tff(6339,plain,
% 19.21/12.87 (nextState(constB54, constB55)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6338, 6337])).
% 19.21/12.87 tff(6340,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6341,plain,
% 19.21/12.87 (((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6342,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55))))),
% 19.21/12.87 inference(monotonicity,[status(thm)],[6341])).
% 19.21/12.87 tff(6343,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 19.21/12.87 inference(transitivity,[status(thm)],[6342, 6340])).
% 19.21/12.87 tff(6344,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6345,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 19.21/12.87 tff(6346,plain,
% 19.21/12.87 (~v95(constB55)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6345, 89, 6339, 6336])).
% 19.21/12.87 tff(6347,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6348,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6349,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 19.21/12.87 tff(6350,plain,
% 19.21/12.87 (v95(constB55) | (~v94(constB55))),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6349, 106, 6339])).
% 19.21/12.87 tff(6351,plain,
% 19.21/12.87 (~v94(constB55)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6350, 6346])).
% 19.21/12.87 tff(6352,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6353,plain,
% 19.21/12.87 (((~nextState(constB54, constB55)) | v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2))) <=> (v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6354,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2))))),
% 19.21/12.87 inference(monotonicity,[status(thm)],[6353])).
% 19.21/12.87 tff(6355,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2)))),
% 19.21/12.87 inference(transitivity,[status(thm)],[6354, 6352])).
% 19.21/12.87 tff(6356,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6357,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 19.21/12.87 tff(6358,plain,
% 19.21/12.87 (v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2))),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6357, 121, 6339])).
% 19.21/12.87 tff(6359,plain,
% 19.21/12.87 (v84(constB54, bitIndex2) | (~v84(constB55, bitIndex2))),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6358, 6351])).
% 19.21/12.87 tff(6360,plain,
% 19.21/12.87 (~v84(constB55, bitIndex2)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6359, 6333])).
% 19.21/12.87 tff(6361,plain,
% 19.21/12.87 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB53)) | v124(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB53)) | v124(constB53, bitIndex1))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6362,plain,
% 19.21/12.87 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB53)) | v124(constB53, bitIndex1))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6363,plain,
% 19.21/12.87 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB53)) | v124(constB53, bitIndex1)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6362, 6361])).
% 19.21/12.87 tff(6364,plain,
% 19.21/12.87 (v124(constB53, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6363, 1094, 6235])).
% 19.21/12.87 tff(6365,plain,
% 19.21/12.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6366,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6367,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6366, 6365])).
% 19.21/12.87 tff(6368,plain,
% 19.21/12.87 ((~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6367, 804, 6259])).
% 19.21/12.87 tff(6369,plain,
% 19.21/12.87 (v121(constB53, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6368, 6364])).
% 19.21/12.87 tff(6370,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6371,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6372,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6371, 6370])).
% 19.21/12.87 tff(6373,plain,
% 19.21/12.87 ((~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6372, 819, 6274])).
% 19.21/12.87 tff(6374,plain,
% 19.21/12.87 (v123(constB54, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6373, 6369])).
% 19.21/12.87 tff(6375,plain,
% 19.21/12.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6376,plain,
% 19.21/12.87 ((v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1))) <=> (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6377,plain,
% 19.21/12.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54))))),
% 19.21/12.87 inference(monotonicity,[status(thm)],[6376])).
% 19.21/12.87 tff(6378,plain,
% 19.21/12.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 19.21/12.87 inference(transitivity,[status(thm)],[6377, 6375])).
% 19.21/12.87 tff(6379,plain,
% 19.21/12.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6380,plain,
% 19.21/12.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 19.21/12.87 tff(6381,plain,
% 19.21/12.87 (v84(constB54, bitIndex1) | (~v94(constB54))),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6380, 834, 6374])).
% 19.21/12.87 tff(6382,plain,
% 19.21/12.87 (v84(constB54, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6381, 6308])).
% 19.21/12.87 tff(6383,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6384,plain,
% 19.21/12.87 (((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1)) <=> ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6385,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1)))),
% 19.21/12.87 inference(monotonicity,[status(thm)],[6384])).
% 19.21/12.87 tff(6386,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 19.21/12.87 inference(transitivity,[status(thm)],[6385, 6383])).
% 19.21/12.87 tff(6387,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6388,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 19.21/12.87 tff(6389,plain,
% 19.21/12.87 ((~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6388, 852, 6339])).
% 19.21/12.87 tff(6390,plain,
% 19.21/12.87 ((~v84(constB54, bitIndex1)) | v84(constB55, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6389, 6351])).
% 19.21/12.87 tff(6391,plain,
% 19.21/12.87 (v84(constB55, bitIndex1)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6390, 6382])).
% 19.21/12.87 tff(6392,plain,
% 19.21/12.87 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB53)) | v124(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB53)) | v124(constB53, bitIndex0))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6393,plain,
% 19.21/12.87 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB53)) | v124(constB53, bitIndex0))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6394,plain,
% 19.21/12.87 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB53)) | v124(constB53, bitIndex0)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6393, 6392])).
% 19.21/12.87 tff(6395,plain,
% 19.21/12.87 (v124(constB53, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6394, 1135, 6235])).
% 19.21/12.87 tff(6396,plain,
% 19.21/12.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB53) | (~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB53) | (~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6397,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB53) | (~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6398,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB53) | (~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6397, 6396])).
% 19.21/12.87 tff(6399,plain,
% 19.21/12.87 ((~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6398, 557, 6259])).
% 19.21/12.87 tff(6400,plain,
% 19.21/12.87 (v121(constB53, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6399, 6395])).
% 19.21/12.87 tff(6401,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6402,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6403,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 19.21/12.87 tff(6404,plain,
% 19.21/12.87 ((~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6403, 572, 6274])).
% 19.21/12.87 tff(6405,plain,
% 19.21/12.87 (v123(constB54, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6404, 6400])).
% 19.21/12.87 tff(6406,plain,
% 19.21/12.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6407,plain,
% 19.21/12.87 ((v84(constB54, bitIndex0) | (~v94(constB54)) | (~v123(constB54, bitIndex0))) <=> (v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6408,plain,
% 19.21/12.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v94(constB54)) | (~v123(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54))))),
% 19.21/12.87 inference(monotonicity,[status(thm)],[6407])).
% 19.21/12.87 tff(6409,plain,
% 19.21/12.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v94(constB54)) | (~v123(constB54, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54)))),
% 19.21/12.87 inference(transitivity,[status(thm)],[6408, 6406])).
% 19.21/12.87 tff(6410,plain,
% 19.21/12.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v94(constB54)) | (~v123(constB54, bitIndex0)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6411,plain,
% 19.21/12.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 19.21/12.87 tff(6412,plain,
% 19.21/12.87 (v84(constB54, bitIndex0) | (~v94(constB54))),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6411, 587, 6405])).
% 19.21/12.87 tff(6413,plain,
% 19.21/12.87 (v84(constB54, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6412, 6308])).
% 19.21/12.87 tff(6414,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6415,plain,
% 19.21/12.87 (((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0)) <=> ((~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6416,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0)))),
% 19.21/12.87 inference(monotonicity,[status(thm)],[6415])).
% 19.21/12.87 tff(6417,plain,
% 19.21/12.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0))),
% 19.21/12.87 inference(transitivity,[status(thm)],[6416, 6414])).
% 19.21/12.87 tff(6418,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6419,plain,
% 19.21/12.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 19.21/12.87 tff(6420,plain,
% 19.21/12.87 ((~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6419, 605, 6339])).
% 19.21/12.87 tff(6421,plain,
% 19.21/12.87 ((~v84(constB54, bitIndex0)) | v84(constB55, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6420, 6351])).
% 19.21/12.87 tff(6422,plain,
% 19.21/12.87 (v84(constB55, bitIndex0)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6421, 6413])).
% 19.21/12.87 tff(6423,plain,
% 19.21/12.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6424,plain,
% 19.21/12.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6425,plain,
% 19.21/12.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55)),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6424, 6423])).
% 19.21/12.87 tff(6426,plain,
% 19.21/12.87 (v116(constB55)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6425, 1176, 6422, 6391, 6360])).
% 19.21/12.87 tff(6427,plain,
% 19.21/12.87 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB55) | (~v116(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6428,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB55) | (~v116(constB55)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6429,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB55) | (~v116(constB55))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6428, 6427])).
% 19.21/12.87 tff(6430,plain,
% 19.21/12.87 (v110(constB55)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6429, 1187, 6426])).
% 19.21/12.87 tff(6431,plain,
% 19.21/12.87 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB55) | (~v110(constB55)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB55) | (~v110(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6432,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB55) | (~v110(constB55)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6433,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB55) | (~v110(constB55))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 19.21/12.87 tff(6434,plain,
% 19.21/12.87 (v109(constB55)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6433, 228, 6430])).
% 19.21/12.87 tff(6435,plain,
% 19.21/12.87 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB55) | (~v109(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB55) | (~v109(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6436,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB55) | (~v109(constB55)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6437,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB55) | (~v109(constB55))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 19.21/12.87 tff(6438,plain,
% 19.21/12.87 (v108(constB55)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6437, 239, 6434])).
% 19.21/12.87 tff(6439,plain,
% 19.21/12.87 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB55) | (~v108(constB55)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB55) | (~v108(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6440,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB55) | (~v108(constB55)))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6441,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB55) | (~v108(constB55))),
% 19.21/12.87 inference(modus_ponens,[status(thm)],[6440, 6439])).
% 19.21/12.87 tff(6442,plain,
% 19.21/12.87 (v107(constB55)),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6441, 250, 6438])).
% 19.21/12.87 tff(6443,assumption,(v26(constB55)), introduced(assumption)).
% 19.21/12.87 tff(6444,plain,
% 19.21/12.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 19.21/12.87 inference(quant_inst,[status(thm)],[])).
% 19.21/12.87 tff(6445,plain,
% 19.21/12.87 ($false),
% 19.21/12.87 inference(unit_resolution,[status(thm)],[6444, 18, 6443])).
% 19.21/12.87 tff(6446,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 19.21/12.87 tff(6447,plain,
% 19.21/12.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | v106(constB55) | (~v107(constB55)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | v106(constB55) | (~v107(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6448,plain,
% 19.21/12.87 ((v26(constB55) | (~v107(constB55)) | v106(constB55)) <=> (v26(constB55) | v106(constB55) | (~v107(constB55)))),
% 19.21/12.87 inference(rewrite,[status(thm)],[])).
% 19.21/12.87 tff(6449,plain,
% 19.21/12.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | v106(constB55) | (~v107(constB55))))),
% 19.30/12.87 inference(monotonicity,[status(thm)],[6448])).
% 19.30/12.87 tff(6450,plain,
% 19.30/12.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | v106(constB55) | (~v107(constB55)))),
% 19.30/12.87 inference(transitivity,[status(thm)],[6449, 6447])).
% 19.30/12.87 tff(6451,plain,
% 19.30/12.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))),
% 19.30/12.87 inference(quant_inst,[status(thm)],[])).
% 19.30/12.87 tff(6452,plain,
% 19.30/12.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | v106(constB55) | (~v107(constB55))),
% 19.30/12.87 inference(modus_ponens,[status(thm)],[6451, 6450])).
% 19.30/12.87 tff(6453,plain,
% 19.30/12.87 (v106(constB55) | (~v107(constB55))),
% 19.30/12.87 inference(unit_resolution,[status(thm)],[6452, 264, 6446])).
% 19.30/12.87 tff(6454,plain,
% 19.30/12.88 (v106(constB55)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6453, 6442])).
% 19.30/12.88 tff(6455,plain,
% 19.30/12.88 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB55) | (~v106(constB55)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB55) | (~v106(constB55)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6456,plain,
% 19.30/12.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB55) | (~v106(constB55)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6457,plain,
% 19.30/12.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB55) | (~v106(constB55))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 19.30/12.88 tff(6458,plain,
% 19.30/12.88 (v102(constB55)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6457, 276, 6454])).
% 19.30/12.88 tff(6459,plain,
% 19.30/12.88 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6460,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 19.30/12.88 tff(6461,plain,
% 19.30/12.88 (nextState(constB55, constB56)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6460, 6459])).
% 19.30/12.88 tff(6462,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6463,plain,
% 19.30/12.88 (((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56)) <=> ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6464,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55))))),
% 19.30/12.88 inference(monotonicity,[status(thm)],[6463])).
% 19.30/12.88 tff(6465,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 19.30/12.88 inference(transitivity,[status(thm)],[6464, 6462])).
% 19.30/12.88 tff(6466,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6467,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6466, 6465])).
% 19.30/12.88 tff(6468,plain,
% 19.30/12.88 (v104(constB56) | (~v102(constB55))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6467, 293, 6461])).
% 19.30/12.88 tff(6469,plain,
% 19.30/12.88 (v104(constB56)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6468, 6458])).
% 19.30/12.88 tff(6470,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6471,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6472,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 19.30/12.88 tff(6473,plain,
% 19.30/12.88 (~v98(constB56)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6472, 311, 6461, 6336])).
% 19.30/12.88 tff(6474,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6475,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6476,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB55, constB56)) | v96(constB56) | v98(constB56)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6475, 6474])).
% 19.30/12.88 tff(6477,plain,
% 19.30/12.88 (v96(constB56) | v98(constB56)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6476, 325, 6461])).
% 19.30/12.88 tff(6478,plain,
% 19.30/12.88 (v96(constB56)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6477, 6473])).
% 19.30/12.88 tff(6479,plain,
% 19.30/12.88 (v1(constB56) <=> v1(constB56)),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6480,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 19.30/12.88 tff(6481,plain,
% 19.30/12.88 (v1(constB56)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 19.30/12.88 tff(6482,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6483,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6484,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 19.30/12.88 tff(6485,plain,
% 19.30/12.88 (v95(constB56) | (~v96(constB56))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6484, 343, 6461, 6481])).
% 19.30/12.88 tff(6486,plain,
% 19.30/12.88 (v95(constB56)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6485, 6478])).
% 19.30/12.88 tff(6487,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6488,plain,
% 19.30/12.88 (((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56)) <=> ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6489,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56))))),
% 19.30/12.88 inference(monotonicity,[status(thm)],[6488])).
% 19.30/12.88 tff(6490,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 19.30/12.88 inference(transitivity,[status(thm)],[6489, 6487])).
% 19.30/12.88 tff(6491,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6492,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6491, 6490])).
% 19.30/12.88 tff(6493,plain,
% 19.30/12.88 (v94(constB56) | (~v95(constB56)) | (~v104(constB56))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6492, 358, 6461])).
% 19.30/12.88 tff(6494,plain,
% 19.30/12.88 (v94(constB56) | (~v104(constB56))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6493, 6486])).
% 19.30/12.88 tff(6495,plain,
% 19.30/12.88 (v94(constB56)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6494, 6469])).
% 19.30/12.88 tff(6496,plain,
% 19.30/12.88 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB55)) | v124(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB55)) | v124(constB55, bitIndex2))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6497,plain,
% 19.30/12.88 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB55)) | v124(constB55, bitIndex2))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6498,plain,
% 19.30/12.88 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB55)) | v124(constB55, bitIndex2)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 19.30/12.88 tff(6499,plain,
% 19.30/12.88 (v124(constB55, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6498, 1259, 6426])).
% 19.30/12.88 tff(6500,plain,
% 19.30/12.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6501,plain,
% 19.30/12.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6502,plain,
% 19.30/12.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6501, 6500])).
% 19.30/12.88 tff(6503,plain,
% 19.30/12.88 ((~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6502, 1273, 6446])).
% 19.30/12.88 tff(6504,plain,
% 19.30/12.88 (v121(constB55, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6503, 6499])).
% 19.30/12.88 tff(6505,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6506,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6507,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6506, 6505])).
% 19.30/12.88 tff(6508,plain,
% 19.30/12.88 ((~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6507, 1288, 6461])).
% 19.30/12.88 tff(6509,plain,
% 19.30/12.88 (v123(constB56, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6508, 6504])).
% 19.30/12.88 tff(6510,plain,
% 19.30/12.88 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6511,plain,
% 19.30/12.88 ((v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2))) <=> (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6512,plain,
% 19.30/12.88 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56))))),
% 19.30/12.88 inference(monotonicity,[status(thm)],[6511])).
% 19.30/12.88 tff(6513,plain,
% 19.30/12.88 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 19.30/12.88 inference(transitivity,[status(thm)],[6512, 6510])).
% 19.30/12.88 tff(6514,plain,
% 19.30/12.88 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6515,plain,
% 19.30/12.88 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 19.30/12.88 tff(6516,plain,
% 19.30/12.88 (v84(constB56, bitIndex2) | (~v94(constB56))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6515, 1303, 6509])).
% 19.30/12.88 tff(6517,plain,
% 19.30/12.88 (v84(constB56, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6516, 6495])).
% 19.30/12.88 tff(6518,plain,
% 19.30/12.88 ((~v1(constB57)) <=> (~v1(constB57))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6519,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 19.30/12.88 tff(6520,plain,
% 19.30/12.88 (~v1(constB57)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 19.30/12.88 tff(6521,plain,
% 19.30/12.88 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6522,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 19.30/12.88 tff(6523,plain,
% 19.30/12.88 (nextState(constB56, constB57)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 19.30/12.88 tff(6524,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6525,plain,
% 19.30/12.88 (((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6526,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57))))),
% 19.30/12.88 inference(monotonicity,[status(thm)],[6525])).
% 19.30/12.88 tff(6527,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 19.30/12.88 inference(transitivity,[status(thm)],[6526, 6524])).
% 19.30/12.88 tff(6528,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6529,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 19.30/12.88 tff(6530,plain,
% 19.30/12.88 (~v95(constB57)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6529, 89, 6523, 6520])).
% 19.30/12.88 tff(6531,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6532,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6533,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 19.30/12.88 tff(6534,plain,
% 19.30/12.88 (v95(constB57) | (~v94(constB57))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6533, 106, 6523])).
% 19.30/12.88 tff(6535,plain,
% 19.30/12.88 (~v94(constB57)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6534, 6530])).
% 19.30/12.88 tff(6536,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6537,plain,
% 19.30/12.88 (((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2)) <=> ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6538,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2)))),
% 19.30/12.88 inference(monotonicity,[status(thm)],[6537])).
% 19.30/12.88 tff(6539,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 19.30/12.88 inference(transitivity,[status(thm)],[6538, 6536])).
% 19.30/12.88 tff(6540,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6541,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6540, 6539])).
% 19.30/12.88 tff(6542,plain,
% 19.30/12.88 ((~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6541, 1339, 6523])).
% 19.30/12.88 tff(6543,plain,
% 19.30/12.88 ((~v84(constB56, bitIndex2)) | v84(constB57, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6542, 6535])).
% 19.30/12.88 tff(6544,plain,
% 19.30/12.88 (v84(constB57, bitIndex2)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6543, 6517])).
% 19.30/12.88 tff(6545,plain,
% 19.30/12.88 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB55)) | (~v124(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB55)) | (~v124(constB55, bitIndex1)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6546,plain,
% 19.30/12.88 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB55)) | (~v124(constB55, bitIndex1)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6547,plain,
% 19.30/12.88 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB55)) | (~v124(constB55, bitIndex1))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6546, 6545])).
% 19.30/12.88 tff(6548,plain,
% 19.30/12.88 (~v124(constB55, bitIndex1)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6547, 1358, 6426])).
% 19.30/12.88 tff(6549,plain,
% 19.30/12.88 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6550,plain,
% 19.30/12.88 ((v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1))) <=> ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6551,plain,
% 19.30/12.88 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1)))),
% 19.30/12.88 inference(monotonicity,[status(thm)],[6550])).
% 19.30/12.88 tff(6552,plain,
% 19.30/12.88 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 19.30/12.88 inference(transitivity,[status(thm)],[6551, 6549])).
% 19.30/12.88 tff(6553,plain,
% 19.30/12.88 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6554,plain,
% 19.30/12.88 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1)),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 19.30/12.88 tff(6555,plain,
% 19.30/12.88 ((~v121(constB55, bitIndex1)) | v124(constB55, bitIndex1)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6554, 483, 6446])).
% 19.30/12.88 tff(6556,plain,
% 19.30/12.88 (~v121(constB55, bitIndex1)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6555, 6548])).
% 19.30/12.88 tff(6557,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6558,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6559,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6558, 6557])).
% 19.30/12.88 tff(6560,plain,
% 19.30/12.88 (v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6559, 501, 6461])).
% 19.30/12.88 tff(6561,plain,
% 19.30/12.88 (~v123(constB56, bitIndex1)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6560, 6556])).
% 19.30/12.88 tff(6562,plain,
% 19.30/12.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6563,plain,
% 19.30/12.88 (((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1)) <=> ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6564,plain,
% 19.30/12.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56))))),
% 19.30/12.88 inference(monotonicity,[status(thm)],[6563])).
% 19.30/12.88 tff(6565,plain,
% 19.30/12.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 19.30/12.88 inference(transitivity,[status(thm)],[6564, 6562])).
% 19.30/12.88 tff(6566,plain,
% 19.30/12.88 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6567,plain,
% 19.30/12.88 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 19.30/12.88 tff(6568,plain,
% 19.30/12.88 ((~v84(constB56, bitIndex1)) | (~v94(constB56))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6567, 516, 6561])).
% 19.30/12.88 tff(6569,plain,
% 19.30/12.88 (~v84(constB56, bitIndex1)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6568, 6495])).
% 19.30/12.88 tff(6570,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6571,plain,
% 19.30/12.88 (((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1))) <=> (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 19.30/12.88 inference(rewrite,[status(thm)],[])).
% 19.30/12.88 tff(6572,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1))))),
% 19.30/12.88 inference(monotonicity,[status(thm)],[6571])).
% 19.30/12.88 tff(6573,plain,
% 19.30/12.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 19.30/12.88 inference(transitivity,[status(thm)],[6572, 6570])).
% 19.30/12.88 tff(6574,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 19.30/12.88 inference(quant_inst,[status(thm)],[])).
% 19.30/12.88 tff(6575,plain,
% 19.30/12.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1))),
% 19.30/12.88 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 19.30/12.88 tff(6576,plain,
% 19.30/12.88 (v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6575, 142, 6523])).
% 19.30/12.88 tff(6577,plain,
% 19.30/12.88 (v84(constB56, bitIndex1) | (~v84(constB57, bitIndex1))),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6576, 6535])).
% 19.30/12.88 tff(6578,plain,
% 19.30/12.88 (~v84(constB57, bitIndex1)),
% 19.30/12.88 inference(unit_resolution,[status(thm)],[6577, 6569])).
% 19.30/12.89 tff(6579,plain,
% 19.30/12.89 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB55)) | (~v124(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB55)) | (~v124(constB55, bitIndex0)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6580,plain,
% 19.30/12.89 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB55)) | (~v124(constB55, bitIndex0)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6581,plain,
% 19.30/12.89 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB55)) | (~v124(constB55, bitIndex0))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6580, 6579])).
% 19.30/12.89 tff(6582,plain,
% 19.30/12.89 (~v124(constB55, bitIndex0)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6581, 1402, 6426])).
% 19.30/12.89 tff(6583,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6584,plain,
% 19.30/12.89 ((v26(constB55) | v124(constB55, bitIndex0) | (~v121(constB55, bitIndex0))) <=> ((~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6585,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB55) | v124(constB55, bitIndex0) | (~v121(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0)))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6584])).
% 19.30/12.89 tff(6586,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB55) | v124(constB55, bitIndex0) | (~v121(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6585, 6583])).
% 19.30/12.89 tff(6587,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB55) | v124(constB55, bitIndex0) | (~v121(constB55, bitIndex0)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6588,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6587, 6586])).
% 19.30/12.89 tff(6589,plain,
% 19.30/12.89 ((~v121(constB55, bitIndex0)) | v124(constB55, bitIndex0)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6588, 885, 6446])).
% 19.30/12.89 tff(6590,plain,
% 19.30/12.89 (~v121(constB55, bitIndex0)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6589, 6582])).
% 19.30/12.89 tff(6591,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6592,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6593,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 19.30/12.89 tff(6594,plain,
% 19.30/12.89 (v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6593, 903, 6461])).
% 19.30/12.89 tff(6595,plain,
% 19.30/12.89 (~v123(constB56, bitIndex0)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6594, 6590])).
% 19.30/12.89 tff(6596,plain,
% 19.30/12.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6597,plain,
% 19.30/12.89 (((~v84(constB56, bitIndex0)) | (~v94(constB56)) | v123(constB56, bitIndex0)) <=> ((~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6598,plain,
% 19.30/12.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~v94(constB56)) | v123(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56))))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6597])).
% 19.30/12.89 tff(6599,plain,
% 19.30/12.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~v94(constB56)) | v123(constB56, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56)))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6598, 6596])).
% 19.30/12.89 tff(6600,plain,
% 19.30/12.89 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~v94(constB56)) | v123(constB56, bitIndex0))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6601,plain,
% 19.30/12.89 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6600, 6599])).
% 19.30/12.89 tff(6602,plain,
% 19.30/12.89 ((~v84(constB56, bitIndex0)) | (~v94(constB56))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6601, 918, 6595])).
% 19.30/12.89 tff(6603,plain,
% 19.30/12.89 (~v84(constB56, bitIndex0)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6602, 6495])).
% 19.30/12.89 tff(6604,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6605,plain,
% 19.30/12.89 (((~nextState(constB56, constB57)) | v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0))) <=> (v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6606,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0))))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6605])).
% 19.30/12.89 tff(6607,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0)))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6606, 6604])).
% 19.30/12.89 tff(6608,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6609,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6608, 6607])).
% 19.30/12.89 tff(6610,plain,
% 19.30/12.89 (v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6609, 163, 6523])).
% 19.30/12.89 tff(6611,plain,
% 19.30/12.89 (v84(constB56, bitIndex0) | (~v84(constB57, bitIndex0))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6610, 6535])).
% 19.30/12.89 tff(6612,plain,
% 19.30/12.89 (~v84(constB57, bitIndex0)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6611, 6603])).
% 19.30/12.89 tff(6613,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)) | v172(constB57))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)) | v172(constB57))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6614,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)) | v172(constB57))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6615,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)) | v172(constB57)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6614, 6613])).
% 19.30/12.89 tff(6616,plain,
% 19.30/12.89 (v172(constB57)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6615, 1446, 6612, 6578, 6544])).
% 19.30/12.89 tff(6617,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB57) | (~v172(constB57)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB57) | (~v172(constB57)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6618,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB57) | (~v172(constB57)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6619,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB57) | (~v172(constB57))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 19.30/12.89 tff(6620,plain,
% 19.30/12.89 (v109(constB57)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6619, 1457, 6616])).
% 19.30/12.89 tff(6621,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB57) | (~v109(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB57) | (~v109(constB57)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6622,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB57) | (~v109(constB57)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6623,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB57) | (~v109(constB57))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 19.30/12.89 tff(6624,plain,
% 19.30/12.89 (v108(constB57)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6623, 239, 6620])).
% 19.30/12.89 tff(6625,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB57) | (~v108(constB57)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB57) | (~v108(constB57)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6626,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB57) | (~v108(constB57)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6627,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB57) | (~v108(constB57))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 19.30/12.89 tff(6628,plain,
% 19.30/12.89 (v107(constB57)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6627, 250, 6624])).
% 19.30/12.89 tff(6629,assumption,(v26(constB57)), introduced(assumption)).
% 19.30/12.89 tff(6630,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6631,plain,
% 19.30/12.89 ($false),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6630, 18, 6629])).
% 19.30/12.89 tff(6632,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 19.30/12.89 tff(6633,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | v106(constB57) | (~v107(constB57)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | v106(constB57) | (~v107(constB57)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6634,plain,
% 19.30/12.89 ((v26(constB57) | (~v107(constB57)) | v106(constB57)) <=> (v26(constB57) | v106(constB57) | (~v107(constB57)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6635,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | v106(constB57) | (~v107(constB57))))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6634])).
% 19.30/12.89 tff(6636,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | v106(constB57) | (~v107(constB57)))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6635, 6633])).
% 19.30/12.89 tff(6637,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6638,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | v106(constB57) | (~v107(constB57))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 19.30/12.89 tff(6639,plain,
% 19.30/12.89 (v106(constB57) | (~v107(constB57))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6638, 264, 6632])).
% 19.30/12.89 tff(6640,plain,
% 19.30/12.89 (v106(constB57)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6639, 6628])).
% 19.30/12.89 tff(6641,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB57) | (~v106(constB57)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB57) | (~v106(constB57)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6642,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB57) | (~v106(constB57)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6643,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB57) | (~v106(constB57))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 19.30/12.89 tff(6644,plain,
% 19.30/12.89 (v102(constB57)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6643, 276, 6640])).
% 19.30/12.89 tff(6645,plain,
% 19.30/12.89 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6646,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 19.30/12.89 tff(6647,plain,
% 19.30/12.89 (nextState(constB57, constB58)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6646, 6645])).
% 19.30/12.89 tff(6648,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6649,plain,
% 19.30/12.89 (((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58)) <=> ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6650,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57))))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6649])).
% 19.30/12.89 tff(6651,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6650, 6648])).
% 19.30/12.89 tff(6652,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6653,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6652, 6651])).
% 19.30/12.89 tff(6654,plain,
% 19.30/12.89 (v104(constB58) | (~v102(constB57))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6653, 293, 6647])).
% 19.30/12.89 tff(6655,plain,
% 19.30/12.89 (v104(constB58)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6654, 6644])).
% 19.30/12.89 tff(6656,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6657,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6658,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 19.30/12.89 tff(6659,plain,
% 19.30/12.89 (~v98(constB58)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6658, 311, 6647, 6520])).
% 19.30/12.89 tff(6660,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6661,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6662,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB57, constB58)) | v96(constB58) | v98(constB58)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6661, 6660])).
% 19.30/12.89 tff(6663,plain,
% 19.30/12.89 (v96(constB58) | v98(constB58)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6662, 325, 6647])).
% 19.30/12.89 tff(6664,plain,
% 19.30/12.89 (v96(constB58)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6663, 6659])).
% 19.30/12.89 tff(6665,plain,
% 19.30/12.89 (v1(constB58) <=> v1(constB58)),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6666,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 19.30/12.89 tff(6667,plain,
% 19.30/12.89 (v1(constB58)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6666, 6665])).
% 19.30/12.89 tff(6668,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6669,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6670,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6669, 6668])).
% 19.30/12.89 tff(6671,plain,
% 19.30/12.89 (v95(constB58) | (~v96(constB58))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6670, 343, 6647, 6667])).
% 19.30/12.89 tff(6672,plain,
% 19.30/12.89 (v95(constB58)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6671, 6664])).
% 19.30/12.89 tff(6673,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6674,plain,
% 19.30/12.89 (((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58)) <=> ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6675,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58))))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6674])).
% 19.30/12.89 tff(6676,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6675, 6673])).
% 19.30/12.89 tff(6677,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6678,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6677, 6676])).
% 19.30/12.89 tff(6679,plain,
% 19.30/12.89 (v94(constB58) | (~v95(constB58)) | (~v104(constB58))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6678, 358, 6647])).
% 19.30/12.89 tff(6680,plain,
% 19.30/12.89 (v94(constB58) | (~v104(constB58))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6679, 6672])).
% 19.30/12.89 tff(6681,plain,
% 19.30/12.89 (v94(constB58)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6680, 6655])).
% 19.30/12.89 tff(6682,plain,
% 19.30/12.89 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB57)) | v124(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB57)) | v124(constB57, bitIndex2))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6683,plain,
% 19.30/12.89 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB57)) | v124(constB57, bitIndex2))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6684,plain,
% 19.30/12.89 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB57)) | v124(constB57, bitIndex2)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6683, 6682])).
% 19.30/12.89 tff(6685,plain,
% 19.30/12.89 (v124(constB57, bitIndex2)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6684, 1528, 6616])).
% 19.30/12.89 tff(6686,plain,
% 19.30/12.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB57) | (~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB57) | (~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6687,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB57) | (~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6688,plain,
% 19.30/12.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB57) | (~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 19.30/12.89 tff(6689,plain,
% 19.30/12.89 ((~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6688, 1273, 6632])).
% 19.30/12.89 tff(6690,plain,
% 19.30/12.89 (v121(constB57, bitIndex2)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6689, 6685])).
% 19.30/12.89 tff(6691,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6692,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6693,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6692, 6691])).
% 19.30/12.89 tff(6694,plain,
% 19.30/12.89 ((~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6693, 1288, 6647])).
% 19.30/12.89 tff(6695,plain,
% 19.30/12.89 (v123(constB58, bitIndex2)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6694, 6690])).
% 19.30/12.89 tff(6696,plain,
% 19.30/12.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6697,plain,
% 19.30/12.89 ((v84(constB58, bitIndex2) | (~v94(constB58)) | (~v123(constB58, bitIndex2))) <=> (v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6698,plain,
% 19.30/12.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v94(constB58)) | (~v123(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58))))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6697])).
% 19.30/12.89 tff(6699,plain,
% 19.30/12.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v94(constB58)) | (~v123(constB58, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58)))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6698, 6696])).
% 19.30/12.89 tff(6700,plain,
% 19.30/12.89 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v94(constB58)) | (~v123(constB58, bitIndex2)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6701,plain,
% 19.30/12.89 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6700, 6699])).
% 19.30/12.89 tff(6702,plain,
% 19.30/12.89 (v84(constB58, bitIndex2) | (~v94(constB58))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6701, 1303, 6695])).
% 19.30/12.89 tff(6703,plain,
% 19.30/12.89 (v84(constB58, bitIndex2)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6702, 6681])).
% 19.30/12.89 tff(6704,plain,
% 19.30/12.89 ((~v1(constB59)) <=> (~v1(constB59))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6705,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 19.30/12.89 tff(6706,plain,
% 19.30/12.89 (~v1(constB59)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 19.30/12.89 tff(6707,plain,
% 19.30/12.89 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6708,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 19.30/12.89 tff(6709,plain,
% 19.30/12.89 (nextState(constB58, constB59)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6708, 6707])).
% 19.30/12.89 tff(6710,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6711,plain,
% 19.30/12.89 (((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6712,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59))))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6711])).
% 19.30/12.89 tff(6713,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6712, 6710])).
% 19.30/12.89 tff(6714,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6715,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 19.30/12.89 tff(6716,plain,
% 19.30/12.89 (~v95(constB59)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6715, 89, 6709, 6706])).
% 19.30/12.89 tff(6717,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6718,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6719,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59))),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 19.30/12.89 tff(6720,plain,
% 19.30/12.89 (v95(constB59) | (~v94(constB59))),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6719, 106, 6709])).
% 19.30/12.89 tff(6721,plain,
% 19.30/12.89 (~v94(constB59)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6720, 6716])).
% 19.30/12.89 tff(6722,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6723,plain,
% 19.30/12.89 (((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2)) <=> ((~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2))),
% 19.30/12.89 inference(rewrite,[status(thm)],[])).
% 19.30/12.89 tff(6724,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2)))),
% 19.30/12.89 inference(monotonicity,[status(thm)],[6723])).
% 19.30/12.89 tff(6725,plain,
% 19.30/12.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2))),
% 19.30/12.89 inference(transitivity,[status(thm)],[6724, 6722])).
% 19.30/12.89 tff(6726,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2))),
% 19.30/12.89 inference(quant_inst,[status(thm)],[])).
% 19.30/12.89 tff(6727,plain,
% 19.30/12.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2)),
% 19.30/12.89 inference(modus_ponens,[status(thm)],[6726, 6725])).
% 19.30/12.89 tff(6728,plain,
% 19.30/12.89 ((~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2)),
% 19.30/12.89 inference(unit_resolution,[status(thm)],[6727, 1339, 6709])).
% 19.30/12.90 tff(6729,plain,
% 19.30/12.90 ((~v84(constB58, bitIndex2)) | v84(constB59, bitIndex2)),
% 19.30/12.90 inference(unit_resolution,[status(thm)],[6728, 6721])).
% 19.30/12.90 tff(6730,plain,
% 19.30/12.90 (v84(constB59, bitIndex2)),
% 19.30/12.90 inference(unit_resolution,[status(thm)],[6729, 6703])).
% 19.30/12.90 tff(6731,plain,
% 19.30/12.90 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB57)) | (~v124(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB57)) | (~v124(constB57, bitIndex1)))),
% 19.30/12.90 inference(rewrite,[status(thm)],[])).
% 19.30/12.90 tff(6732,plain,
% 19.30/12.90 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB57)) | (~v124(constB57, bitIndex1)))),
% 19.30/12.90 inference(quant_inst,[status(thm)],[])).
% 19.30/12.90 tff(6733,plain,
% 19.30/12.90 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB57)) | (~v124(constB57, bitIndex1))),
% 19.30/12.90 inference(modus_ponens,[status(thm)],[6732, 6731])).
% 19.30/12.90 tff(6734,plain,
% 19.30/12.90 (~v124(constB57, bitIndex1)),
% 19.30/12.90 inference(unit_resolution,[status(thm)],[6733, 1587, 6616])).
% 19.30/12.90 tff(6735,plain,
% 19.30/12.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1))),
% 19.30/12.90 inference(rewrite,[status(thm)],[])).
% 19.30/12.90 tff(6736,plain,
% 19.30/12.90 ((v26(constB57) | v124(constB57, bitIndex1) | (~v121(constB57, bitIndex1))) <=> ((~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1))),
% 19.30/12.90 inference(rewrite,[status(thm)],[])).
% 19.30/12.90 tff(6737,plain,
% 19.30/12.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB57) | v124(constB57, bitIndex1) | (~v121(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1)))),
% 19.30/12.90 inference(monotonicity,[status(thm)],[6736])).
% 19.30/12.90 tff(6738,plain,
% 19.30/12.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB57) | v124(constB57, bitIndex1) | (~v121(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1))),
% 19.30/12.90 inference(transitivity,[status(thm)],[6737, 6735])).
% 19.30/12.90 tff(6739,plain,
% 19.30/12.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB57) | v124(constB57, bitIndex1) | (~v121(constB57, bitIndex1)))),
% 19.30/12.90 inference(quant_inst,[status(thm)],[])).
% 19.30/12.90 tff(6740,plain,
% 19.30/12.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1)),
% 19.30/12.90 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 19.30/12.90 tff(6741,plain,
% 19.30/12.90 ((~v121(constB57, bitIndex1)) | v124(constB57, bitIndex1)),
% 19.30/12.90 inference(unit_resolution,[status(thm)],[6740, 483, 6632])).
% 19.30/12.90 tff(6742,plain,
% 19.30/12.90 (~v121(constB57, bitIndex1)),
% 19.30/12.90 inference(unit_resolution,[status(thm)],[6741, 6734])).
% 19.30/12.90 tff(6743,plain,
% 19.30/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1)))),
% 19.30/12.90 inference(rewrite,[status(thm)],[])).
% 19.30/12.90 tff(6744,plain,
% 19.30/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1)))),
% 19.30/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6745,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6744, 6743])).
% 19.32/12.90 tff(6746,plain,
% 19.32/12.90 (v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6745, 501, 6647])).
% 19.32/12.90 tff(6747,plain,
% 19.32/12.90 (~v123(constB58, bitIndex1)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6746, 6742])).
% 19.32/12.90 tff(6748,plain,
% 19.32/12.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6749,plain,
% 19.32/12.90 (((~v84(constB58, bitIndex1)) | (~v94(constB58)) | v123(constB58, bitIndex1)) <=> ((~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6750,plain,
% 19.32/12.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~v94(constB58)) | v123(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58))))),
% 19.32/12.90 inference(monotonicity,[status(thm)],[6749])).
% 19.32/12.90 tff(6751,plain,
% 19.32/12.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~v94(constB58)) | v123(constB58, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58)))),
% 19.32/12.90 inference(transitivity,[status(thm)],[6750, 6748])).
% 19.32/12.90 tff(6752,plain,
% 19.32/12.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~v94(constB58)) | v123(constB58, bitIndex1))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6753,plain,
% 19.32/12.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6752, 6751])).
% 19.32/12.90 tff(6754,plain,
% 19.32/12.90 ((~v84(constB58, bitIndex1)) | (~v94(constB58))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6753, 516, 6747])).
% 19.32/12.90 tff(6755,plain,
% 19.32/12.90 (~v84(constB58, bitIndex1)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6754, 6681])).
% 19.32/12.90 tff(6756,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6757,plain,
% 19.32/12.90 (((~nextState(constB58, constB59)) | v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1))) <=> (v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6758,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1))))),
% 19.32/12.90 inference(monotonicity,[status(thm)],[6757])).
% 19.32/12.90 tff(6759,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1)))),
% 19.32/12.90 inference(transitivity,[status(thm)],[6758, 6756])).
% 19.32/12.90 tff(6760,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1)))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6761,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6760, 6759])).
% 19.32/12.90 tff(6762,plain,
% 19.32/12.90 (v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6761, 142, 6709])).
% 19.32/12.90 tff(6763,plain,
% 19.32/12.90 (v84(constB58, bitIndex1) | (~v84(constB59, bitIndex1))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6762, 6721])).
% 19.32/12.90 tff(6764,plain,
% 19.32/12.90 (~v84(constB59, bitIndex1)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6763, 6755])).
% 19.32/12.90 tff(6765,plain,
% 19.32/12.90 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB57)) | v124(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB57)) | v124(constB57, bitIndex0))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6766,plain,
% 19.32/12.90 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB57)) | v124(constB57, bitIndex0))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6767,plain,
% 19.32/12.90 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB57)) | v124(constB57, bitIndex0)),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 19.32/12.90 tff(6768,plain,
% 19.32/12.90 (v124(constB57, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6767, 1631, 6616])).
% 19.32/12.90 tff(6769,plain,
% 19.32/12.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB57) | (~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB57) | (~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6770,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB57) | (~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6771,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB57) | (~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0)),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 19.32/12.90 tff(6772,plain,
% 19.32/12.90 ((~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6771, 557, 6632])).
% 19.32/12.90 tff(6773,plain,
% 19.32/12.90 (v121(constB57, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6772, 6768])).
% 19.32/12.90 tff(6774,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6775,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6776,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0)),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6775, 6774])).
% 19.32/12.90 tff(6777,plain,
% 19.32/12.90 ((~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6776, 572, 6647])).
% 19.32/12.90 tff(6778,plain,
% 19.32/12.90 (v123(constB58, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6777, 6773])).
% 19.32/12.90 tff(6779,plain,
% 19.32/12.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6780,plain,
% 19.32/12.90 ((v84(constB58, bitIndex0) | (~v94(constB58)) | (~v123(constB58, bitIndex0))) <=> (v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6781,plain,
% 19.32/12.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v94(constB58)) | (~v123(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58))))),
% 19.32/12.90 inference(monotonicity,[status(thm)],[6780])).
% 19.32/12.90 tff(6782,plain,
% 19.32/12.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v94(constB58)) | (~v123(constB58, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58)))),
% 19.32/12.90 inference(transitivity,[status(thm)],[6781, 6779])).
% 19.32/12.90 tff(6783,plain,
% 19.32/12.90 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v94(constB58)) | (~v123(constB58, bitIndex0)))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6784,plain,
% 19.32/12.90 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6783, 6782])).
% 19.32/12.90 tff(6785,plain,
% 19.32/12.90 (v84(constB58, bitIndex0) | (~v94(constB58))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6784, 587, 6778])).
% 19.32/12.90 tff(6786,plain,
% 19.32/12.90 (v84(constB58, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6785, 6681])).
% 19.32/12.90 tff(6787,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6788,plain,
% 19.32/12.90 (((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0)) <=> ((~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6789,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0)))),
% 19.32/12.90 inference(monotonicity,[status(thm)],[6788])).
% 19.32/12.90 tff(6790,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0))),
% 19.32/12.90 inference(transitivity,[status(thm)],[6789, 6787])).
% 19.32/12.90 tff(6791,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6792,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0)),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6791, 6790])).
% 19.32/12.90 tff(6793,plain,
% 19.32/12.90 ((~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6792, 605, 6709])).
% 19.32/12.90 tff(6794,plain,
% 19.32/12.90 ((~v84(constB58, bitIndex0)) | v84(constB59, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6793, 6721])).
% 19.32/12.90 tff(6795,plain,
% 19.32/12.90 (v84(constB59, bitIndex0)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6794, 6786])).
% 19.32/12.90 tff(6796,plain,
% 19.32/12.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6797,plain,
% 19.32/12.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6798,plain,
% 19.32/12.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59)),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 19.32/12.90 tff(6799,plain,
% 19.32/12.90 (v118(constB59)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6798, 1672, 6795, 6764, 6730])).
% 19.32/12.90 tff(6800,plain,
% 19.32/12.90 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB59) | (~v118(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB59) | (~v118(constB59)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6801,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB59) | (~v118(constB59)))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6802,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB59) | (~v118(constB59))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 19.32/12.90 tff(6803,plain,
% 19.32/12.90 (v108(constB59)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6802, 1683, 6799])).
% 19.32/12.90 tff(6804,plain,
% 19.32/12.90 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB59) | (~v108(constB59)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB59) | (~v108(constB59)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6805,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB59) | (~v108(constB59)))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6806,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB59) | (~v108(constB59))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 19.32/12.90 tff(6807,plain,
% 19.32/12.90 (v107(constB59)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6806, 250, 6803])).
% 19.32/12.90 tff(6808,assumption,(v26(constB59)), introduced(assumption)).
% 19.32/12.90 tff(6809,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6810,plain,
% 19.32/12.90 ($false),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6809, 18, 6808])).
% 19.32/12.90 tff(6811,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 19.32/12.90 tff(6812,plain,
% 19.32/12.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6813,plain,
% 19.32/12.90 ((v26(constB59) | (~v107(constB59)) | v106(constB59)) <=> (v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6814,plain,
% 19.32/12.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59))))),
% 19.32/12.90 inference(monotonicity,[status(thm)],[6813])).
% 19.32/12.90 tff(6815,plain,
% 19.32/12.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 19.32/12.90 inference(transitivity,[status(thm)],[6814, 6812])).
% 19.32/12.90 tff(6816,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6817,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6816, 6815])).
% 19.32/12.90 tff(6818,plain,
% 19.32/12.90 (v106(constB59) | (~v107(constB59))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6817, 264, 6811])).
% 19.32/12.90 tff(6819,plain,
% 19.32/12.90 (v106(constB59)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6818, 6807])).
% 19.32/12.90 tff(6820,plain,
% 19.32/12.90 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB59) | (~v106(constB59)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB59) | (~v106(constB59)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6821,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB59) | (~v106(constB59)))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6822,plain,
% 19.32/12.90 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB59) | (~v106(constB59))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6821, 6820])).
% 19.32/12.90 tff(6823,plain,
% 19.32/12.90 (v102(constB59)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6822, 276, 6819])).
% 19.32/12.90 tff(6824,plain,
% 19.32/12.90 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6825,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 19.32/12.90 tff(6826,plain,
% 19.32/12.90 (nextState(constB59, constB60)),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6825, 6824])).
% 19.32/12.90 tff(6827,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6828,plain,
% 19.32/12.90 (((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6829,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))))),
% 19.32/12.90 inference(monotonicity,[status(thm)],[6828])).
% 19.32/12.90 tff(6830,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 19.32/12.90 inference(transitivity,[status(thm)],[6829, 6827])).
% 19.32/12.90 tff(6831,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6832,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 19.32/12.90 tff(6833,plain,
% 19.32/12.90 (v104(constB60) | (~v102(constB59))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6832, 293, 6826])).
% 19.32/12.90 tff(6834,plain,
% 19.32/12.90 (v104(constB60)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6833, 6823])).
% 19.32/12.90 tff(6835,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6836,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6837,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6836, 6835])).
% 19.32/12.90 tff(6838,plain,
% 19.32/12.90 (~v98(constB60)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6837, 311, 6826, 6706])).
% 19.32/12.90 tff(6839,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6840,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6841,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60)),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6840, 6839])).
% 19.32/12.90 tff(6842,plain,
% 19.32/12.90 (v96(constB60) | v98(constB60)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6841, 325, 6826])).
% 19.32/12.90 tff(6843,plain,
% 19.32/12.90 (v96(constB60)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6842, 6838])).
% 19.32/12.90 tff(6844,plain,
% 19.32/12.90 (v1(constB60) <=> v1(constB60)),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6845,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 19.32/12.90 tff(6846,plain,
% 19.32/12.90 (v1(constB60)),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6845, 6844])).
% 19.32/12.90 tff(6847,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6848,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6849,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 19.32/12.90 tff(6850,plain,
% 19.32/12.90 (v95(constB60) | (~v96(constB60))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6849, 343, 6826, 6846])).
% 19.32/12.90 tff(6851,plain,
% 19.32/12.90 (v95(constB60)),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6850, 6843])).
% 19.32/12.90 tff(6852,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6853,plain,
% 19.32/12.90 (((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60)) <=> ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 19.32/12.90 inference(rewrite,[status(thm)],[])).
% 19.32/12.90 tff(6854,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60))))),
% 19.32/12.90 inference(monotonicity,[status(thm)],[6853])).
% 19.32/12.90 tff(6855,plain,
% 19.32/12.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 19.32/12.90 inference(transitivity,[status(thm)],[6854, 6852])).
% 19.32/12.90 tff(6856,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))),
% 19.32/12.90 inference(quant_inst,[status(thm)],[])).
% 19.32/12.90 tff(6857,plain,
% 19.32/12.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60))),
% 19.32/12.90 inference(modus_ponens,[status(thm)],[6856, 6855])).
% 19.32/12.90 tff(6858,plain,
% 19.32/12.90 (v94(constB60) | (~v95(constB60)) | (~v104(constB60))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6857, 358, 6826])).
% 19.32/12.90 tff(6859,plain,
% 19.32/12.90 (v94(constB60) | (~v104(constB60))),
% 19.32/12.90 inference(unit_resolution,[status(thm)],[6858, 6851])).
% 19.32/12.91 tff(6860,plain,
% 19.32/12.91 (v94(constB60)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6859, 6834])).
% 19.32/12.91 tff(6861,plain,
% 19.32/12.91 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB59)) | v124(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB59)) | v124(constB59, bitIndex2))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6862,plain,
% 19.32/12.91 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB59)) | v124(constB59, bitIndex2))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6863,plain,
% 19.32/12.91 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB59)) | v124(constB59, bitIndex2)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6862, 6861])).
% 19.32/12.91 tff(6864,plain,
% 19.32/12.91 (v124(constB59, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6863, 1750, 6799])).
% 19.32/12.91 tff(6865,plain,
% 19.32/12.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB59) | (~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB59) | (~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6866,plain,
% 19.32/12.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB59) | (~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6867,plain,
% 19.32/12.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB59) | (~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6866, 6865])).
% 19.32/12.91 tff(6868,plain,
% 19.32/12.91 ((~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6867, 1273, 6811])).
% 19.32/12.91 tff(6869,plain,
% 19.32/12.91 (v121(constB59, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6868, 6864])).
% 19.32/12.91 tff(6870,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6871,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6872,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6871, 6870])).
% 19.32/12.91 tff(6873,plain,
% 19.32/12.91 ((~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6872, 1288, 6826])).
% 19.32/12.91 tff(6874,plain,
% 19.32/12.91 (v123(constB60, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6873, 6869])).
% 19.32/12.91 tff(6875,plain,
% 19.32/12.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6876,plain,
% 19.32/12.91 ((v84(constB60, bitIndex2) | (~v94(constB60)) | (~v123(constB60, bitIndex2))) <=> (v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6877,plain,
% 19.32/12.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v94(constB60)) | (~v123(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60))))),
% 19.32/12.91 inference(monotonicity,[status(thm)],[6876])).
% 19.32/12.91 tff(6878,plain,
% 19.32/12.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v94(constB60)) | (~v123(constB60, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60)))),
% 19.32/12.91 inference(transitivity,[status(thm)],[6877, 6875])).
% 19.32/12.91 tff(6879,plain,
% 19.32/12.91 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v94(constB60)) | (~v123(constB60, bitIndex2)))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6880,plain,
% 19.32/12.91 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60))),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6879, 6878])).
% 19.32/12.91 tff(6881,plain,
% 19.32/12.91 (v84(constB60, bitIndex2) | (~v94(constB60))),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6880, 1303, 6874])).
% 19.32/12.91 tff(6882,plain,
% 19.32/12.91 (v84(constB60, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6881, 6860])).
% 19.32/12.91 tff(6883,plain,
% 19.32/12.91 ((~v1(constB61)) <=> (~v1(constB61))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6884,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 19.32/12.91 tff(6885,plain,
% 19.32/12.91 (~v1(constB61)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6884, 6883])).
% 19.32/12.91 tff(6886,plain,
% 19.32/12.91 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6887,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 19.32/12.91 tff(6888,plain,
% 19.32/12.91 (nextState(constB60, constB61)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6887, 6886])).
% 19.32/12.91 tff(6889,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6890,plain,
% 19.32/12.91 (((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6891,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))))),
% 19.32/12.91 inference(monotonicity,[status(thm)],[6890])).
% 19.32/12.91 tff(6892,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 19.32/12.91 inference(transitivity,[status(thm)],[6891, 6889])).
% 19.32/12.91 tff(6893,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6894,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6893, 6892])).
% 19.32/12.91 tff(6895,plain,
% 19.32/12.91 (~v95(constB61)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6894, 89, 6888, 6885])).
% 19.32/12.91 tff(6896,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6897,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6898,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61))),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6897, 6896])).
% 19.32/12.91 tff(6899,plain,
% 19.32/12.91 (v95(constB61) | (~v94(constB61))),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6898, 106, 6888])).
% 19.32/12.91 tff(6900,plain,
% 19.32/12.91 (~v94(constB61)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6899, 6895])).
% 19.32/12.91 tff(6901,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6902,plain,
% 19.32/12.91 (((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2)) <=> ((~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6903,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2)))),
% 19.32/12.91 inference(monotonicity,[status(thm)],[6902])).
% 19.32/12.91 tff(6904,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2))),
% 19.32/12.91 inference(transitivity,[status(thm)],[6903, 6901])).
% 19.32/12.91 tff(6905,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6906,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 19.32/12.91 tff(6907,plain,
% 19.32/12.91 ((~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6906, 1339, 6888])).
% 19.32/12.91 tff(6908,plain,
% 19.32/12.91 ((~v84(constB60, bitIndex2)) | v84(constB61, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6907, 6900])).
% 19.32/12.91 tff(6909,plain,
% 19.32/12.91 (v84(constB61, bitIndex2)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6908, 6882])).
% 19.32/12.91 tff(6910,plain,
% 19.32/12.91 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB59)) | v124(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB59)) | v124(constB59, bitIndex1))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6911,plain,
% 19.32/12.91 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB59)) | v124(constB59, bitIndex1))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6912,plain,
% 19.32/12.91 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB59)) | v124(constB59, bitIndex1)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6911, 6910])).
% 19.32/12.91 tff(6913,plain,
% 19.32/12.91 (v124(constB59, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6912, 1809, 6799])).
% 19.32/12.91 tff(6914,plain,
% 19.32/12.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6915,plain,
% 19.32/12.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6916,plain,
% 19.32/12.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6915, 6914])).
% 19.32/12.91 tff(6917,plain,
% 19.32/12.91 ((~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6916, 804, 6811])).
% 19.32/12.91 tff(6918,plain,
% 19.32/12.91 (v121(constB59, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6917, 6913])).
% 19.32/12.91 tff(6919,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6920,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6921,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6920, 6919])).
% 19.32/12.91 tff(6922,plain,
% 19.32/12.91 ((~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6921, 819, 6826])).
% 19.32/12.91 tff(6923,plain,
% 19.32/12.91 (v123(constB60, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6922, 6918])).
% 19.32/12.91 tff(6924,plain,
% 19.32/12.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6925,plain,
% 19.32/12.91 ((v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1))) <=> (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6926,plain,
% 19.32/12.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60))))),
% 19.32/12.91 inference(monotonicity,[status(thm)],[6925])).
% 19.32/12.91 tff(6927,plain,
% 19.32/12.91 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 19.32/12.91 inference(transitivity,[status(thm)],[6926, 6924])).
% 19.32/12.91 tff(6928,plain,
% 19.32/12.91 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6929,plain,
% 19.32/12.91 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60))),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 19.32/12.91 tff(6930,plain,
% 19.32/12.91 (v84(constB60, bitIndex1) | (~v94(constB60))),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6929, 834, 6923])).
% 19.32/12.91 tff(6931,plain,
% 19.32/12.91 (v84(constB60, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6930, 6860])).
% 19.32/12.91 tff(6932,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6933,plain,
% 19.32/12.91 (((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1)) <=> ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6934,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1)))),
% 19.32/12.91 inference(monotonicity,[status(thm)],[6933])).
% 19.32/12.91 tff(6935,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 19.32/12.91 inference(transitivity,[status(thm)],[6934, 6932])).
% 19.32/12.91 tff(6936,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6937,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 19.32/12.91 tff(6938,plain,
% 19.32/12.91 ((~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6937, 852, 6888])).
% 19.32/12.91 tff(6939,plain,
% 19.32/12.91 ((~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6938, 6900])).
% 19.32/12.91 tff(6940,plain,
% 19.32/12.91 (v84(constB61, bitIndex1)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6939, 6931])).
% 19.32/12.91 tff(6941,plain,
% 19.32/12.91 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB59)) | (~v124(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB59)) | (~v124(constB59, bitIndex0)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6942,plain,
% 19.32/12.91 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB59)) | (~v124(constB59, bitIndex0)))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6943,plain,
% 19.32/12.91 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB59)) | (~v124(constB59, bitIndex0))),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6942, 6941])).
% 19.32/12.91 tff(6944,plain,
% 19.32/12.91 (~v124(constB59, bitIndex0)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6943, 1850, 6799])).
% 19.32/12.91 tff(6945,plain,
% 19.32/12.91 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6946,plain,
% 19.32/12.91 ((v26(constB59) | v124(constB59, bitIndex0) | (~v121(constB59, bitIndex0))) <=> ((~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6947,plain,
% 19.32/12.91 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB59) | v124(constB59, bitIndex0) | (~v121(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0)))),
% 19.32/12.91 inference(monotonicity,[status(thm)],[6946])).
% 19.32/12.91 tff(6948,plain,
% 19.32/12.91 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB59) | v124(constB59, bitIndex0) | (~v121(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0))),
% 19.32/12.91 inference(transitivity,[status(thm)],[6947, 6945])).
% 19.32/12.91 tff(6949,plain,
% 19.32/12.91 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB59) | v124(constB59, bitIndex0) | (~v121(constB59, bitIndex0)))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6950,plain,
% 19.32/12.91 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0)),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 19.32/12.91 tff(6951,plain,
% 19.32/12.91 ((~v121(constB59, bitIndex0)) | v124(constB59, bitIndex0)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6950, 885, 6811])).
% 19.32/12.91 tff(6952,plain,
% 19.32/12.91 (~v121(constB59, bitIndex0)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6951, 6944])).
% 19.32/12.91 tff(6953,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6954,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0)))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6955,plain,
% 19.32/12.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0))),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 19.32/12.91 tff(6956,plain,
% 19.32/12.91 (v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0))),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6955, 903, 6826])).
% 19.32/12.91 tff(6957,plain,
% 19.32/12.91 (~v123(constB60, bitIndex0)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6956, 6952])).
% 19.32/12.91 tff(6958,plain,
% 19.32/12.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6959,plain,
% 19.32/12.91 (((~v84(constB60, bitIndex0)) | (~v94(constB60)) | v123(constB60, bitIndex0)) <=> ((~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6960,plain,
% 19.32/12.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~v94(constB60)) | v123(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60))))),
% 19.32/12.91 inference(monotonicity,[status(thm)],[6959])).
% 19.32/12.91 tff(6961,plain,
% 19.32/12.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~v94(constB60)) | v123(constB60, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60)))),
% 19.32/12.91 inference(transitivity,[status(thm)],[6960, 6958])).
% 19.32/12.91 tff(6962,plain,
% 19.32/12.91 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~v94(constB60)) | v123(constB60, bitIndex0))),
% 19.32/12.91 inference(quant_inst,[status(thm)],[])).
% 19.32/12.91 tff(6963,plain,
% 19.32/12.91 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60))),
% 19.32/12.91 inference(modus_ponens,[status(thm)],[6962, 6961])).
% 19.32/12.91 tff(6964,plain,
% 19.32/12.91 ((~v84(constB60, bitIndex0)) | (~v94(constB60))),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6963, 918, 6957])).
% 19.32/12.91 tff(6965,plain,
% 19.32/12.91 (~v84(constB60, bitIndex0)),
% 19.32/12.91 inference(unit_resolution,[status(thm)],[6964, 6860])).
% 19.32/12.91 tff(6966,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6967,plain,
% 19.32/12.91 (((~nextState(constB60, constB61)) | v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0))) <=> (v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0)))),
% 19.32/12.91 inference(rewrite,[status(thm)],[])).
% 19.32/12.91 tff(6968,plain,
% 19.32/12.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0))))),
% 19.32/12.92 inference(monotonicity,[status(thm)],[6967])).
% 19.32/12.92 tff(6969,plain,
% 19.32/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0)))),
% 19.32/12.92 inference(transitivity,[status(thm)],[6968, 6966])).
% 19.32/12.92 tff(6970,plain,
% 19.32/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0)))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(6971,plain,
% 19.32/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0))),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 19.32/12.92 tff(6972,plain,
% 19.32/12.92 (v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0))),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6971, 163, 6888])).
% 19.32/12.92 tff(6973,plain,
% 19.32/12.92 (v84(constB60, bitIndex0) | (~v84(constB61, bitIndex0))),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6972, 6900])).
% 19.32/12.92 tff(6974,plain,
% 19.32/12.92 (~v84(constB61, bitIndex0)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6973, 6965])).
% 19.32/12.92 tff(6975,plain,
% 19.32/12.92 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)) | v119(constB61))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)) | v119(constB61))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(6976,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)) | v119(constB61))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(6977,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)) | v119(constB61)),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 19.32/12.92 tff(6978,plain,
% 19.32/12.92 (v119(constB61)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6977, 1894, 6974, 6940, 6909])).
% 19.32/12.92 tff(6979,plain,
% 19.32/12.92 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB61) | (~v119(constB61)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB61) | (~v119(constB61)))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(6980,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB61) | (~v119(constB61)))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(6981,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB61) | (~v119(constB61))),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[6980, 6979])).
% 19.32/12.92 tff(6982,plain,
% 19.32/12.92 (v107(constB61)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6981, 1905, 6978])).
% 19.32/12.92 tff(6983,assumption,(v26(constB61)), introduced(assumption)).
% 19.32/12.92 tff(6984,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(6985,plain,
% 19.32/12.92 ($false),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6984, 18, 6983])).
% 19.32/12.92 tff(6986,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 19.32/12.92 tff(6987,plain,
% 19.32/12.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | v106(constB61) | (~v107(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(6988,plain,
% 19.32/12.92 ((v26(constB61) | (~v107(constB61)) | v106(constB61)) <=> (v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(6989,plain,
% 19.32/12.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | v106(constB61) | (~v107(constB61))))),
% 19.32/12.92 inference(monotonicity,[status(thm)],[6988])).
% 19.32/12.92 tff(6990,plain,
% 19.32/12.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 19.32/12.92 inference(transitivity,[status(thm)],[6989, 6987])).
% 19.32/12.92 tff(6991,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(6992,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61))),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 19.32/12.92 tff(6993,plain,
% 19.32/12.92 (v106(constB61) | (~v107(constB61))),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6992, 264, 6986])).
% 19.32/12.92 tff(6994,plain,
% 19.32/12.92 (v106(constB61)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6993, 6982])).
% 19.32/12.92 tff(6995,plain,
% 19.32/12.92 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB61) | (~v106(constB61)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB61) | (~v106(constB61)))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(6996,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB61) | (~v106(constB61)))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(6997,plain,
% 19.32/12.92 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB61) | (~v106(constB61))),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[6996, 6995])).
% 19.32/12.92 tff(6998,plain,
% 19.32/12.92 (v102(constB61)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[6997, 276, 6994])).
% 19.32/12.92 tff(6999,plain,
% 19.32/12.92 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(7000,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 19.32/12.92 tff(7001,plain,
% 19.32/12.92 (nextState(constB61, constB62)),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[7000, 6999])).
% 19.32/12.92 tff(7002,plain,
% 19.32/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(7003,plain,
% 19.32/12.92 (((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(7004,plain,
% 19.32/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))))),
% 19.32/12.92 inference(monotonicity,[status(thm)],[7003])).
% 19.32/12.92 tff(7005,plain,
% 19.32/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 19.32/12.92 inference(transitivity,[status(thm)],[7004, 7002])).
% 19.32/12.92 tff(7006,plain,
% 19.32/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(7007,plain,
% 19.32/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[7006, 7005])).
% 19.32/12.92 tff(7008,plain,
% 19.32/12.92 (v104(constB62) | (~v102(constB61))),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[7007, 293, 7001])).
% 19.32/12.92 tff(7009,plain,
% 19.32/12.92 (v104(constB62)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[7008, 6998])).
% 19.32/12.92 tff(7010,plain,
% 19.32/12.92 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(7011,plain,
% 19.32/12.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(7012,plain,
% 19.32/12.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62))),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 19.32/12.92 tff(7013,plain,
% 19.32/12.92 (~v98(constB62)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[7012, 311, 7001, 6885])).
% 19.32/12.92 tff(7014,plain,
% 19.32/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(7015,plain,
% 19.32/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 19.32/12.92 inference(quant_inst,[status(thm)],[])).
% 19.32/12.92 tff(7016,plain,
% 19.32/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62)),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[7015, 7014])).
% 19.32/12.92 tff(7017,plain,
% 19.32/12.92 (v96(constB62) | v98(constB62)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[7016, 325, 7001])).
% 19.32/12.92 tff(7018,plain,
% 19.32/12.92 (v96(constB62)),
% 19.32/12.92 inference(unit_resolution,[status(thm)],[7017, 7013])).
% 19.32/12.92 tff(7019,plain,
% 19.32/12.92 (v1(constB62) <=> v1(constB62)),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.32/12.92 tff(7020,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 19.32/12.92 tff(7021,plain,
% 19.32/12.92 (v1(constB62)),
% 19.32/12.92 inference(modus_ponens,[status(thm)],[7020, 7019])).
% 19.32/12.92 tff(7022,plain,
% 19.32/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 19.32/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7023,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7024,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7023, 7022])).
% 19.34/12.92 tff(7025,plain,
% 19.34/12.92 (v95(constB62) | (~v96(constB62))),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7024, 343, 7001, 7021])).
% 19.34/12.92 tff(7026,plain,
% 19.34/12.92 (v95(constB62)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7025, 7018])).
% 19.34/12.92 tff(7027,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7028,plain,
% 19.34/12.92 (((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62)) <=> ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7029,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62))))),
% 19.34/12.92 inference(monotonicity,[status(thm)],[7028])).
% 19.34/12.92 tff(7030,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 19.34/12.92 inference(transitivity,[status(thm)],[7029, 7027])).
% 19.34/12.92 tff(7031,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7032,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7031, 7030])).
% 19.34/12.92 tff(7033,plain,
% 19.34/12.92 (v94(constB62) | (~v95(constB62)) | (~v104(constB62))),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7032, 358, 7001])).
% 19.34/12.92 tff(7034,plain,
% 19.34/12.92 (v94(constB62) | (~v104(constB62))),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7033, 7026])).
% 19.34/12.92 tff(7035,plain,
% 19.34/12.92 (v94(constB62)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7034, 7009])).
% 19.34/12.92 tff(7036,plain,
% 19.34/12.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v115(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB61, bitIndex2)) | (~v115(constB61)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7037,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v115(constB61)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7038,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB61, bitIndex2)) | (~v115(constB61))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7037, 7036])).
% 19.34/12.92 tff(7039,plain,
% 19.34/12.92 (~v115(constB61)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7038, 1965, 6909])).
% 19.34/12.92 tff(7040,plain,
% 19.34/12.92 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB61)) | (~v84(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB61)) | (~v84(constB61, bitIndex1)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7041,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB61)) | (~v84(constB61, bitIndex1)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7042,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB61)) | (~v84(constB61, bitIndex1))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 19.34/12.92 tff(7043,plain,
% 19.34/12.92 (~v113(constB61)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7042, 1990, 6940])).
% 19.34/12.92 tff(7044,plain,
% 19.34/12.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v118(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v118(constB61)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7045,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v118(constB61)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7046,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v118(constB61))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7045, 7044])).
% 19.34/12.92 tff(7047,plain,
% 19.34/12.92 (~v118(constB61)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7046, 2001, 6940])).
% 19.34/12.92 tff(7048,plain,
% 19.34/12.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v172(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v172(constB61)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7049,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v172(constB61)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7050,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v172(constB61))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7049, 7048])).
% 19.34/12.92 tff(7051,plain,
% 19.34/12.92 (~v172(constB61)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7050, 2023, 6940])).
% 19.34/12.92 tff(7052,plain,
% 19.34/12.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v116(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB61, bitIndex2)) | (~v116(constB61)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7053,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v116(constB61)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7054,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB61, bitIndex2)) | (~v116(constB61))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7053, 7052])).
% 19.34/12.92 tff(7055,plain,
% 19.34/12.92 (~v116(constB61)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7054, 1976, 6909])).
% 19.34/12.92 tff(7056,plain,
% 19.34/12.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v145(constB61)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7057,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v145(constB61)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7058,plain,
% 19.34/12.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v145(constB61))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 19.34/12.92 tff(7059,plain,
% 19.34/12.92 (~v145(constB61)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7058, 2012, 6940])).
% 19.34/12.92 tff(7060,plain,
% 19.34/12.92 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7061,plain,
% 19.34/12.92 ((v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex2))) <=> (v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7062,plain,
% 19.34/12.92 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex2))))),
% 19.34/12.92 inference(monotonicity,[status(thm)],[7061])).
% 19.34/12.92 tff(7063,plain,
% 19.34/12.92 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))),
% 19.34/12.92 inference(transitivity,[status(thm)],[7062, 7060])).
% 19.34/12.92 tff(7064,plain,
% 19.34/12.92 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7065,plain,
% 19.34/12.92 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex2))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 19.34/12.92 tff(7066,plain,
% 19.34/12.92 (~v124(constB61, bitIndex2)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7065, 2037, 7059, 7055, 7051, 7047, 7043, 7039])).
% 19.34/12.92 tff(7067,plain,
% 19.34/12.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7068,plain,
% 19.34/12.92 ((v26(constB61) | v124(constB61, bitIndex2) | (~v121(constB61, bitIndex2))) <=> ((~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7069,plain,
% 19.34/12.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB61) | v124(constB61, bitIndex2) | (~v121(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2)))),
% 19.34/12.92 inference(monotonicity,[status(thm)],[7068])).
% 19.34/12.92 tff(7070,plain,
% 19.34/12.92 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB61) | v124(constB61, bitIndex2) | (~v121(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2))),
% 19.34/12.92 inference(transitivity,[status(thm)],[7069, 7067])).
% 19.34/12.92 tff(7071,plain,
% 19.34/12.92 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB61) | v124(constB61, bitIndex2) | (~v121(constB61, bitIndex2)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7072,plain,
% 19.34/12.92 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2)),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7071, 7070])).
% 19.34/12.92 tff(7073,plain,
% 19.34/12.92 ((~v121(constB61, bitIndex2)) | v124(constB61, bitIndex2)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7072, 391, 6986])).
% 19.34/12.92 tff(7074,plain,
% 19.34/12.92 (~v121(constB61, bitIndex2)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7073, 7066])).
% 19.34/12.92 tff(7075,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7076,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7077,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 19.34/12.92 tff(7078,plain,
% 19.34/12.92 (v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2))),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7077, 409, 7001])).
% 19.34/12.92 tff(7079,plain,
% 19.34/12.92 (~v123(constB62, bitIndex2)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7078, 7074])).
% 19.34/12.92 tff(7080,plain,
% 19.34/12.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7081,plain,
% 19.34/12.92 (((~v84(constB62, bitIndex2)) | (~v94(constB62)) | v123(constB62, bitIndex2)) <=> ((~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7082,plain,
% 19.34/12.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | (~v94(constB62)) | v123(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62))))),
% 19.34/12.92 inference(monotonicity,[status(thm)],[7081])).
% 19.34/12.92 tff(7083,plain,
% 19.34/12.92 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | (~v94(constB62)) | v123(constB62, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62)))),
% 19.34/12.92 inference(transitivity,[status(thm)],[7082, 7080])).
% 19.34/12.92 tff(7084,plain,
% 19.34/12.92 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB62, bitIndex2)) | (~v94(constB62)) | v123(constB62, bitIndex2))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7085,plain,
% 19.34/12.92 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 19.34/12.92 tff(7086,plain,
% 19.34/12.92 ((~v84(constB62, bitIndex2)) | (~v94(constB62))),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7085, 424, 7079])).
% 19.34/12.92 tff(7087,plain,
% 19.34/12.92 (~v84(constB62, bitIndex2)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7086, 7035])).
% 19.34/12.92 tff(7088,plain,
% 19.34/12.92 ((~v1(constB63)) <=> (~v1(constB63))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7089,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 19.34/12.92 tff(7090,plain,
% 19.34/12.92 (~v1(constB63)),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 19.34/12.92 tff(7091,plain,
% 19.34/12.92 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7092,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 19.34/12.92 tff(7093,plain,
% 19.34/12.92 (nextState(constB62, constB63)),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7092, 7091])).
% 19.34/12.92 tff(7094,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7095,plain,
% 19.34/12.92 (((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7096,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))))),
% 19.34/12.92 inference(monotonicity,[status(thm)],[7095])).
% 19.34/12.92 tff(7097,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 19.34/12.92 inference(transitivity,[status(thm)],[7096, 7094])).
% 19.34/12.92 tff(7098,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7099,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7098, 7097])).
% 19.34/12.92 tff(7100,plain,
% 19.34/12.92 (~v95(constB63)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7099, 89, 7093, 7090])).
% 19.34/12.92 tff(7101,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 19.34/12.92 inference(rewrite,[status(thm)],[])).
% 19.34/12.92 tff(7102,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 19.34/12.92 inference(quant_inst,[status(thm)],[])).
% 19.34/12.92 tff(7103,plain,
% 19.34/12.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63))),
% 19.34/12.92 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 19.34/12.92 tff(7104,plain,
% 19.34/12.92 (v95(constB63) | (~v94(constB63))),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7103, 106, 7093])).
% 19.34/12.92 tff(7105,plain,
% 19.34/12.92 (~v94(constB63)),
% 19.34/12.92 inference(unit_resolution,[status(thm)],[7104, 7100])).
% 19.34/12.92 tff(7106,plain,
% 19.34/12.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7107,plain,
% 19.34/12.93 (((~nextState(constB62, constB63)) | v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2))) <=> (v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7108,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2))))),
% 19.34/12.93 inference(monotonicity,[status(thm)],[7107])).
% 19.34/12.93 tff(7109,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2)))),
% 19.34/12.93 inference(transitivity,[status(thm)],[7108, 7106])).
% 19.34/12.93 tff(7110,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7111,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7110, 7109])).
% 19.34/12.93 tff(7112,plain,
% 19.34/12.93 (v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2))),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7111, 121, 7093])).
% 19.34/12.93 tff(7113,plain,
% 19.34/12.93 (v84(constB62, bitIndex2) | (~v84(constB63, bitIndex2))),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7112, 7105])).
% 19.34/12.93 tff(7114,plain,
% 19.34/12.93 (~v84(constB63, bitIndex2)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7113, 7087])).
% 19.34/12.93 tff(7115,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7116,plain,
% 19.34/12.93 ((v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex1))) <=> (v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7117,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex1))))),
% 19.34/12.93 inference(monotonicity,[status(thm)],[7116])).
% 19.34/12.93 tff(7118,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))),
% 19.34/12.93 inference(transitivity,[status(thm)],[7117, 7115])).
% 19.34/12.93 tff(7119,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7120,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB61) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61) | (~v124(constB61, bitIndex1))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 19.34/12.93 tff(7121,plain,
% 19.34/12.93 (~v124(constB61, bitIndex1)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7120, 2102, 7059, 7055, 7051, 7047, 7043, 7039])).
% 19.34/12.93 tff(7122,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7123,plain,
% 19.34/12.93 ((v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1))) <=> ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7124,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1)))),
% 19.34/12.93 inference(monotonicity,[status(thm)],[7123])).
% 19.34/12.93 tff(7125,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 19.34/12.93 inference(transitivity,[status(thm)],[7124, 7122])).
% 19.34/12.93 tff(7126,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7127,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1)),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7126, 7125])).
% 19.34/12.93 tff(7128,plain,
% 19.34/12.93 ((~v121(constB61, bitIndex1)) | v124(constB61, bitIndex1)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7127, 483, 6986])).
% 19.34/12.93 tff(7129,plain,
% 19.34/12.93 (~v121(constB61, bitIndex1)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7128, 7121])).
% 19.34/12.93 tff(7130,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7131,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7132,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7131, 7130])).
% 19.34/12.93 tff(7133,plain,
% 19.34/12.93 (v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1))),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7132, 501, 7001])).
% 19.34/12.93 tff(7134,plain,
% 19.34/12.93 (~v123(constB62, bitIndex1)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7133, 7129])).
% 19.34/12.93 tff(7135,plain,
% 19.34/12.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7136,plain,
% 19.34/12.93 (((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1)) <=> ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7137,plain,
% 19.34/12.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62))))),
% 19.34/12.93 inference(monotonicity,[status(thm)],[7136])).
% 19.34/12.93 tff(7138,plain,
% 19.34/12.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 19.34/12.93 inference(transitivity,[status(thm)],[7137, 7135])).
% 19.34/12.93 tff(7139,plain,
% 19.34/12.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7140,plain,
% 19.34/12.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7139, 7138])).
% 19.34/12.93 tff(7141,plain,
% 19.34/12.93 ((~v84(constB62, bitIndex1)) | (~v94(constB62))),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7140, 516, 7134])).
% 19.34/12.93 tff(7142,plain,
% 19.34/12.93 (~v84(constB62, bitIndex1)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7141, 7035])).
% 19.34/12.93 tff(7143,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7144,plain,
% 19.34/12.93 (((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1))) <=> (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7145,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1))))),
% 19.34/12.93 inference(monotonicity,[status(thm)],[7144])).
% 19.34/12.93 tff(7146,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 19.34/12.93 inference(transitivity,[status(thm)],[7145, 7143])).
% 19.34/12.93 tff(7147,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7148,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7147, 7146])).
% 19.34/12.93 tff(7149,plain,
% 19.34/12.93 (v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1))),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7148, 142, 7093])).
% 19.34/12.93 tff(7150,plain,
% 19.34/12.93 (v84(constB62, bitIndex1) | (~v84(constB63, bitIndex1))),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7149, 7105])).
% 19.34/12.93 tff(7151,plain,
% 19.34/12.93 (~v84(constB63, bitIndex1)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7150, 7142])).
% 19.34/12.93 tff(7152,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB61) | v124(constB61, bitIndex0) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB61) | v124(constB61, bitIndex0) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7153,plain,
% 19.34/12.93 ((v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | v124(constB61, bitIndex0)) <=> (v145(constB61) | v124(constB61, bitIndex0) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7154,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | v124(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB61) | v124(constB61, bitIndex0) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61)))),
% 19.34/12.93 inference(monotonicity,[status(thm)],[7153])).
% 19.34/12.93 tff(7155,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | v124(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB61) | v124(constB61, bitIndex0) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61))),
% 19.34/12.93 inference(transitivity,[status(thm)],[7154, 7152])).
% 19.34/12.93 tff(7156,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | v124(constB61, bitIndex0))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7157,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB61) | v124(constB61, bitIndex0) | v172(constB61) | v116(constB61) | v115(constB61) | v113(constB61) | v118(constB61)),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7156, 7155])).
% 19.34/12.93 tff(7158,plain,
% 19.34/12.93 (v124(constB61, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7157, 2149, 7059, 7055, 7051, 7047, 7043, 7039])).
% 19.34/12.93 tff(7159,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB61) | (~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB61) | (~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7160,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB61) | (~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7161,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB61) | (~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0)),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 19.34/12.93 tff(7162,plain,
% 19.34/12.93 ((~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7161, 557, 6986])).
% 19.34/12.93 tff(7163,plain,
% 19.34/12.93 (v121(constB61, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7162, 7158])).
% 19.34/12.93 tff(7164,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7165,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7166,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0)),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7165, 7164])).
% 19.34/12.93 tff(7167,plain,
% 19.34/12.93 ((~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7166, 572, 7001])).
% 19.34/12.93 tff(7168,plain,
% 19.34/12.93 (v123(constB62, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7167, 7163])).
% 19.34/12.93 tff(7169,plain,
% 19.34/12.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7170,plain,
% 19.34/12.93 ((v84(constB62, bitIndex0) | (~v94(constB62)) | (~v123(constB62, bitIndex0))) <=> (v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7171,plain,
% 19.34/12.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v94(constB62)) | (~v123(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62))))),
% 19.34/12.93 inference(monotonicity,[status(thm)],[7170])).
% 19.34/12.93 tff(7172,plain,
% 19.34/12.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v94(constB62)) | (~v123(constB62, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62)))),
% 19.34/12.93 inference(transitivity,[status(thm)],[7171, 7169])).
% 19.34/12.93 tff(7173,plain,
% 19.34/12.93 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v94(constB62)) | (~v123(constB62, bitIndex0)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7174,plain,
% 19.34/12.93 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7173, 7172])).
% 19.34/12.93 tff(7175,plain,
% 19.34/12.93 (v84(constB62, bitIndex0) | (~v94(constB62))),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7174, 587, 7168])).
% 19.34/12.93 tff(7176,plain,
% 19.34/12.93 (v84(constB62, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7175, 7035])).
% 19.34/12.93 tff(7177,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7178,plain,
% 19.34/12.93 (((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0)) <=> ((~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7179,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0)))),
% 19.34/12.93 inference(monotonicity,[status(thm)],[7178])).
% 19.34/12.93 tff(7180,plain,
% 19.34/12.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0))),
% 19.34/12.93 inference(transitivity,[status(thm)],[7179, 7177])).
% 19.34/12.93 tff(7181,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7182,plain,
% 19.34/12.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0)),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7181, 7180])).
% 19.34/12.93 tff(7183,plain,
% 19.34/12.93 ((~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7182, 605, 7093])).
% 19.34/12.93 tff(7184,plain,
% 19.34/12.93 ((~v84(constB62, bitIndex0)) | v84(constB63, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7183, 7105])).
% 19.34/12.93 tff(7185,plain,
% 19.34/12.93 (v84(constB63, bitIndex0)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7184, 7176])).
% 19.34/12.93 tff(7186,plain,
% 19.34/12.93 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7187,plain,
% 19.34/12.93 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7188,plain,
% 19.34/12.93 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63)),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7187, 7186])).
% 19.34/12.93 tff(7189,plain,
% 19.34/12.93 (v145(constB63)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7188, 624, 7185, 7151, 7114])).
% 19.34/12.93 tff(7190,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB63) | (~v145(constB63)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB63) | (~v145(constB63)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7191,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB63) | (~v145(constB63)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7192,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB63) | (~v145(constB63))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 19.34/12.93 tff(7193,plain,
% 19.34/12.93 (v112(constB63)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7192, 681, 7189])).
% 19.34/12.93 tff(7194,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB63) | (~v112(constB63)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7195,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB63) | (~v112(constB63)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7196,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB63) | (~v112(constB63))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 19.34/12.93 tff(7197,plain,
% 19.34/12.93 (v111(constB63)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7196, 206, 7193])).
% 19.34/12.93 tff(7198,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB63) | (~v111(constB63)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB63) | (~v111(constB63)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7199,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB63) | (~v111(constB63)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7200,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB63) | (~v111(constB63))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 19.34/12.93 tff(7201,plain,
% 19.34/12.93 (v110(constB63)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7200, 217, 7197])).
% 19.34/12.93 tff(7202,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB63) | (~v110(constB63)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB63) | (~v110(constB63)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7203,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB63) | (~v110(constB63)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7204,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB63) | (~v110(constB63))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7203, 7202])).
% 19.34/12.93 tff(7205,plain,
% 19.34/12.93 (v109(constB63)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7204, 228, 7201])).
% 19.34/12.93 tff(7206,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB63) | (~v109(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB63) | (~v109(constB63)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7207,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB63) | (~v109(constB63)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7208,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB63) | (~v109(constB63))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 19.34/12.93 tff(7209,plain,
% 19.34/12.93 (v108(constB63)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7208, 239, 7205])).
% 19.34/12.93 tff(7210,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB63) | (~v108(constB63)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB63) | (~v108(constB63)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7211,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB63) | (~v108(constB63)))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7212,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB63) | (~v108(constB63))),
% 19.34/12.93 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 19.34/12.93 tff(7213,plain,
% 19.34/12.93 (v107(constB63)),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7212, 250, 7209])).
% 19.34/12.93 tff(7214,assumption,(v26(constB63)), introduced(assumption)).
% 19.34/12.93 tff(7215,plain,
% 19.34/12.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 19.34/12.93 inference(quant_inst,[status(thm)],[])).
% 19.34/12.93 tff(7216,plain,
% 19.34/12.93 ($false),
% 19.34/12.93 inference(unit_resolution,[status(thm)],[7215, 18, 7214])).
% 19.34/12.93 tff(7217,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 19.34/12.93 tff(7218,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | v106(constB63) | (~v107(constB63)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | v106(constB63) | (~v107(constB63)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7219,plain,
% 19.34/12.93 ((v26(constB63) | (~v107(constB63)) | v106(constB63)) <=> (v26(constB63) | v106(constB63) | (~v107(constB63)))),
% 19.34/12.93 inference(rewrite,[status(thm)],[])).
% 19.34/12.93 tff(7220,plain,
% 19.34/12.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | v106(constB63) | (~v107(constB63))))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7219])).
% 19.34/12.94 tff(7221,plain,
% 19.34/12.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | v106(constB63) | (~v107(constB63)))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7220, 7218])).
% 19.34/12.94 tff(7222,plain,
% 19.34/12.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7223,plain,
% 19.34/12.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | v106(constB63) | (~v107(constB63))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7222, 7221])).
% 19.34/12.94 tff(7224,plain,
% 19.34/12.94 (v106(constB63) | (~v107(constB63))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7223, 264, 7217])).
% 19.34/12.94 tff(7225,plain,
% 19.34/12.94 (v106(constB63)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7224, 7213])).
% 19.34/12.94 tff(7226,plain,
% 19.34/12.94 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB63) | (~v106(constB63)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB63) | (~v106(constB63)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7227,plain,
% 19.34/12.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB63) | (~v106(constB63)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7228,plain,
% 19.34/12.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB63) | (~v106(constB63))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 19.34/12.94 tff(7229,plain,
% 19.34/12.94 (v102(constB63)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7228, 276, 7225])).
% 19.34/12.94 tff(7230,plain,
% 19.34/12.94 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7231,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 19.34/12.94 tff(7232,plain,
% 19.34/12.94 (nextState(constB63, constB64)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 19.34/12.94 tff(7233,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7234,plain,
% 19.34/12.94 (((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7235,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7234])).
% 19.34/12.94 tff(7236,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7235, 7233])).
% 19.34/12.94 tff(7237,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7238,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 19.34/12.94 tff(7239,plain,
% 19.34/12.94 (v104(constB64) | (~v102(constB63))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7238, 293, 7232])).
% 19.34/12.94 tff(7240,plain,
% 19.34/12.94 (v104(constB64)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7239, 7229])).
% 19.34/12.94 tff(7241,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7242,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7243,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 19.34/12.94 tff(7244,plain,
% 19.34/12.94 (~v98(constB64)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7243, 311, 7232, 7090])).
% 19.34/12.94 tff(7245,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7246,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7247,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7246, 7245])).
% 19.34/12.94 tff(7248,plain,
% 19.34/12.94 (v96(constB64) | v98(constB64)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7247, 325, 7232])).
% 19.34/12.94 tff(7249,plain,
% 19.34/12.94 (v96(constB64)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7248, 7244])).
% 19.34/12.94 tff(7250,plain,
% 19.34/12.94 (v1(constB64) <=> v1(constB64)),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7251,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 19.34/12.94 tff(7252,plain,
% 19.34/12.94 (v1(constB64)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7251, 7250])).
% 19.34/12.94 tff(7253,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7254,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7255,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 19.34/12.94 tff(7256,plain,
% 19.34/12.94 (v95(constB64) | (~v96(constB64))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7255, 343, 7232, 7252])).
% 19.34/12.94 tff(7257,plain,
% 19.34/12.94 (v95(constB64)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7256, 7249])).
% 19.34/12.94 tff(7258,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7259,plain,
% 19.34/12.94 (((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64)) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7260,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64))))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7259])).
% 19.34/12.94 tff(7261,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7260, 7258])).
% 19.34/12.94 tff(7262,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7263,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7262, 7261])).
% 19.34/12.94 tff(7264,plain,
% 19.34/12.94 (v94(constB64) | (~v95(constB64)) | (~v104(constB64))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7263, 358, 7232])).
% 19.34/12.94 tff(7265,plain,
% 19.34/12.94 (v94(constB64) | (~v104(constB64))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7264, 7257])).
% 19.34/12.94 tff(7266,plain,
% 19.34/12.94 (v94(constB64)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7265, 7240])).
% 19.34/12.94 tff(7267,plain,
% 19.34/12.94 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB63)) | (~v124(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB63)) | (~v124(constB63, bitIndex2)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7268,plain,
% 19.34/12.94 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB63)) | (~v124(constB63, bitIndex2)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7269,plain,
% 19.34/12.94 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB63)) | (~v124(constB63, bitIndex2))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 19.34/12.94 tff(7270,plain,
% 19.34/12.94 (~v124(constB63, bitIndex2)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7269, 638, 7189])).
% 19.34/12.94 tff(7271,plain,
% 19.34/12.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7272,plain,
% 19.34/12.94 ((v26(constB63) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2))) <=> ((~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7273,plain,
% 19.34/12.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB63) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2)))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7272])).
% 19.34/12.94 tff(7274,plain,
% 19.34/12.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB63) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7273, 7271])).
% 19.34/12.94 tff(7275,plain,
% 19.34/12.94 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB63) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7276,plain,
% 19.34/12.94 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7275, 7274])).
% 19.34/12.94 tff(7277,plain,
% 19.34/12.94 ((~v121(constB63, bitIndex2)) | v124(constB63, bitIndex2)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7276, 391, 7217])).
% 19.34/12.94 tff(7278,plain,
% 19.34/12.94 (~v121(constB63, bitIndex2)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7277, 7270])).
% 19.34/12.94 tff(7279,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7280,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7281,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7280, 7279])).
% 19.34/12.94 tff(7282,plain,
% 19.34/12.94 (v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7281, 409, 7232])).
% 19.34/12.94 tff(7283,plain,
% 19.34/12.94 (~v123(constB64, bitIndex2)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7282, 7278])).
% 19.34/12.94 tff(7284,plain,
% 19.34/12.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7285,plain,
% 19.34/12.94 (((~v84(constB64, bitIndex2)) | (~v94(constB64)) | v123(constB64, bitIndex2)) <=> ((~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7286,plain,
% 19.34/12.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | (~v94(constB64)) | v123(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64))))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7285])).
% 19.34/12.94 tff(7287,plain,
% 19.34/12.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | (~v94(constB64)) | v123(constB64, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64)))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7286, 7284])).
% 19.34/12.94 tff(7288,plain,
% 19.34/12.94 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB64, bitIndex2)) | (~v94(constB64)) | v123(constB64, bitIndex2))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7289,plain,
% 19.34/12.94 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 19.34/12.94 tff(7290,plain,
% 19.34/12.94 ((~v84(constB64, bitIndex2)) | (~v94(constB64))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7289, 424, 7283])).
% 19.34/12.94 tff(7291,plain,
% 19.34/12.94 (~v84(constB64, bitIndex2)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7290, 7266])).
% 19.34/12.94 tff(7292,plain,
% 19.34/12.94 ((~v1(constB65)) <=> (~v1(constB65))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7293,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 19.34/12.94 tff(7294,plain,
% 19.34/12.94 (~v1(constB65)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7293, 7292])).
% 19.34/12.94 tff(7295,plain,
% 19.34/12.94 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7296,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 19.34/12.94 tff(7297,plain,
% 19.34/12.94 (nextState(constB64, constB65)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7296, 7295])).
% 19.34/12.94 tff(7298,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7299,plain,
% 19.34/12.94 (((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7300,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7299])).
% 19.34/12.94 tff(7301,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7300, 7298])).
% 19.34/12.94 tff(7302,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7303,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 19.34/12.94 tff(7304,plain,
% 19.34/12.94 (~v95(constB65)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7303, 89, 7297, 7294])).
% 19.34/12.94 tff(7305,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7306,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7307,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 19.34/12.94 tff(7308,plain,
% 19.34/12.94 (v95(constB65) | (~v94(constB65))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7307, 106, 7297])).
% 19.34/12.94 tff(7309,plain,
% 19.34/12.94 (~v94(constB65)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7308, 7304])).
% 19.34/12.94 tff(7310,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7311,plain,
% 19.34/12.94 (((~nextState(constB64, constB65)) | v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2))) <=> (v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7312,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2))))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7311])).
% 19.34/12.94 tff(7313,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2)))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7312, 7310])).
% 19.34/12.94 tff(7314,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7315,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 19.34/12.94 tff(7316,plain,
% 19.34/12.94 (v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7315, 121, 7297])).
% 19.34/12.94 tff(7317,plain,
% 19.34/12.94 (v84(constB64, bitIndex2) | (~v84(constB65, bitIndex2))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7316, 7309])).
% 19.34/12.94 tff(7318,plain,
% 19.34/12.94 (~v84(constB65, bitIndex2)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7317, 7291])).
% 19.34/12.94 tff(7319,plain,
% 19.34/12.94 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB63)) | v124(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB63)) | v124(constB63, bitIndex1))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7320,plain,
% 19.34/12.94 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB63)) | v124(constB63, bitIndex1))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7321,plain,
% 19.34/12.94 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB63)) | v124(constB63, bitIndex1)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7320, 7319])).
% 19.34/12.94 tff(7322,plain,
% 19.34/12.94 (v124(constB63, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7321, 790, 7189])).
% 19.34/12.94 tff(7323,plain,
% 19.34/12.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7324,plain,
% 19.34/12.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7325,plain,
% 19.34/12.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7324, 7323])).
% 19.34/12.94 tff(7326,plain,
% 19.34/12.94 ((~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7325, 804, 7217])).
% 19.34/12.94 tff(7327,plain,
% 19.34/12.94 (v121(constB63, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7326, 7322])).
% 19.34/12.94 tff(7328,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7329,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7330,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 19.34/12.94 tff(7331,plain,
% 19.34/12.94 ((~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7330, 819, 7232])).
% 19.34/12.94 tff(7332,plain,
% 19.34/12.94 (v123(constB64, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7331, 7327])).
% 19.34/12.94 tff(7333,plain,
% 19.34/12.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7334,plain,
% 19.34/12.94 ((v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1))) <=> (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7335,plain,
% 19.34/12.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64))))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7334])).
% 19.34/12.94 tff(7336,plain,
% 19.34/12.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7335, 7333])).
% 19.34/12.94 tff(7337,plain,
% 19.34/12.94 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7338,plain,
% 19.34/12.94 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7337, 7336])).
% 19.34/12.94 tff(7339,plain,
% 19.34/12.94 (v84(constB64, bitIndex1) | (~v94(constB64))),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7338, 834, 7332])).
% 19.34/12.94 tff(7340,plain,
% 19.34/12.94 (v84(constB64, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7339, 7266])).
% 19.34/12.94 tff(7341,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7342,plain,
% 19.34/12.94 (((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1)) <=> ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7343,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1)))),
% 19.34/12.94 inference(monotonicity,[status(thm)],[7342])).
% 19.34/12.94 tff(7344,plain,
% 19.34/12.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 19.34/12.94 inference(transitivity,[status(thm)],[7343, 7341])).
% 19.34/12.94 tff(7345,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7346,plain,
% 19.34/12.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1)),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7345, 7344])).
% 19.34/12.94 tff(7347,plain,
% 19.34/12.94 ((~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7346, 852, 7297])).
% 19.34/12.94 tff(7348,plain,
% 19.34/12.94 ((~v84(constB64, bitIndex1)) | v84(constB65, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7347, 7309])).
% 19.34/12.94 tff(7349,plain,
% 19.34/12.94 (v84(constB65, bitIndex1)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7348, 7340])).
% 19.34/12.94 tff(7350,plain,
% 19.34/12.94 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB63)) | (~v124(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB63)) | (~v124(constB63, bitIndex0)))),
% 19.34/12.94 inference(rewrite,[status(thm)],[])).
% 19.34/12.94 tff(7351,plain,
% 19.34/12.94 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB63)) | (~v124(constB63, bitIndex0)))),
% 19.34/12.94 inference(quant_inst,[status(thm)],[])).
% 19.34/12.94 tff(7352,plain,
% 19.34/12.94 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB63)) | (~v124(constB63, bitIndex0))),
% 19.34/12.94 inference(modus_ponens,[status(thm)],[7351, 7350])).
% 19.34/12.94 tff(7353,plain,
% 19.34/12.94 (~v124(constB63, bitIndex0)),
% 19.34/12.94 inference(unit_resolution,[status(thm)],[7352, 871, 7189])).
% 19.34/12.94 tff(7354,plain,
% 19.34/12.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7355,plain,
% 19.34/12.95 ((v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0))) <=> ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7356,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0)))),
% 19.34/12.95 inference(monotonicity,[status(thm)],[7355])).
% 19.34/12.95 tff(7357,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 19.34/12.95 inference(transitivity,[status(thm)],[7356, 7354])).
% 19.34/12.95 tff(7358,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7359,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 19.34/12.95 tff(7360,plain,
% 19.34/12.95 ((~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7359, 885, 7217])).
% 19.34/12.95 tff(7361,plain,
% 19.34/12.95 (~v121(constB63, bitIndex0)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7360, 7353])).
% 19.34/12.95 tff(7362,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7363,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7364,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 19.34/12.95 tff(7365,plain,
% 19.34/12.95 (v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7364, 903, 7232])).
% 19.34/12.95 tff(7366,plain,
% 19.34/12.95 (~v123(constB64, bitIndex0)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7365, 7361])).
% 19.34/12.95 tff(7367,plain,
% 19.34/12.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7368,plain,
% 19.34/12.95 (((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0)) <=> ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7369,plain,
% 19.34/12.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64))))),
% 19.34/12.95 inference(monotonicity,[status(thm)],[7368])).
% 19.34/12.95 tff(7370,plain,
% 19.34/12.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 19.34/12.95 inference(transitivity,[status(thm)],[7369, 7367])).
% 19.34/12.95 tff(7371,plain,
% 19.34/12.95 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7372,plain,
% 19.34/12.95 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 19.34/12.95 tff(7373,plain,
% 19.34/12.95 ((~v84(constB64, bitIndex0)) | (~v94(constB64))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7372, 918, 7366])).
% 19.34/12.95 tff(7374,plain,
% 19.34/12.95 (~v84(constB64, bitIndex0)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7373, 7266])).
% 19.34/12.95 tff(7375,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7376,plain,
% 19.34/12.95 (((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0))) <=> (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7377,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0))))),
% 19.34/12.95 inference(monotonicity,[status(thm)],[7376])).
% 19.34/12.95 tff(7378,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 19.34/12.95 inference(transitivity,[status(thm)],[7377, 7375])).
% 19.34/12.95 tff(7379,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7380,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7379, 7378])).
% 19.34/12.95 tff(7381,plain,
% 19.34/12.95 (v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7380, 163, 7297])).
% 19.34/12.95 tff(7382,plain,
% 19.34/12.95 (v84(constB64, bitIndex0) | (~v84(constB65, bitIndex0))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7381, 7309])).
% 19.34/12.95 tff(7383,plain,
% 19.34/12.95 (~v84(constB65, bitIndex0)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7382, 7374])).
% 19.34/12.95 tff(7384,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex2) | v115(constB65))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex2) | v115(constB65))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7385,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex2) | v115(constB65))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7386,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex2) | v115(constB65)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 19.34/12.95 tff(7387,plain,
% 19.34/12.95 (v115(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7386, 945, 7383, 7349, 7318])).
% 19.34/12.95 tff(7388,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB65) | (~v115(constB65)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7389,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB65) | (~v115(constB65)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7390,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB65) | (~v115(constB65))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7389, 7388])).
% 19.34/12.95 tff(7391,plain,
% 19.34/12.95 (v111(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7390, 956, 7387])).
% 19.34/12.95 tff(7392,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB65) | (~v111(constB65)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB65) | (~v111(constB65)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7393,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB65) | (~v111(constB65)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7394,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB65) | (~v111(constB65))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7393, 7392])).
% 19.34/12.95 tff(7395,plain,
% 19.34/12.95 (v110(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7394, 217, 7391])).
% 19.34/12.95 tff(7396,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB65) | (~v110(constB65)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB65) | (~v110(constB65)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7397,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB65) | (~v110(constB65)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7398,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB65) | (~v110(constB65))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7397, 7396])).
% 19.34/12.95 tff(7399,plain,
% 19.34/12.95 (v109(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7398, 228, 7395])).
% 19.34/12.95 tff(7400,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB65) | (~v109(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB65) | (~v109(constB65)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7401,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB65) | (~v109(constB65)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7402,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB65) | (~v109(constB65))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 19.34/12.95 tff(7403,plain,
% 19.34/12.95 (v108(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7402, 239, 7399])).
% 19.34/12.95 tff(7404,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB65) | (~v108(constB65)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB65) | (~v108(constB65)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7405,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB65) | (~v108(constB65)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7406,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB65) | (~v108(constB65))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 19.34/12.95 tff(7407,plain,
% 19.34/12.95 (v107(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7406, 250, 7403])).
% 19.34/12.95 tff(7408,assumption,(v26(constB65)), introduced(assumption)).
% 19.34/12.95 tff(7409,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7410,plain,
% 19.34/12.95 ($false),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7409, 18, 7408])).
% 19.34/12.95 tff(7411,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 19.34/12.95 tff(7412,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB65) | (~v107(constB65)) | v106(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB65) | (~v107(constB65)) | v106(constB65))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7413,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB65) | (~v107(constB65)) | v106(constB65))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7414,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB65) | (~v107(constB65)) | v106(constB65)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 19.34/12.95 tff(7415,plain,
% 19.34/12.95 ((~v107(constB65)) | v106(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7414, 264, 7411])).
% 19.34/12.95 tff(7416,plain,
% 19.34/12.95 (v106(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7415, 7407])).
% 19.34/12.95 tff(7417,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB65) | (~v106(constB65)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB65) | (~v106(constB65)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7418,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB65) | (~v106(constB65)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7419,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB65) | (~v106(constB65))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 19.34/12.95 tff(7420,plain,
% 19.34/12.95 (v102(constB65)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7419, 276, 7416])).
% 19.34/12.95 tff(7421,plain,
% 19.34/12.95 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7422,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 19.34/12.95 tff(7423,plain,
% 19.34/12.95 (nextState(constB65, constB66)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 19.34/12.95 tff(7424,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7425,plain,
% 19.34/12.95 (((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66)) <=> ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7426,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65))))),
% 19.34/12.95 inference(monotonicity,[status(thm)],[7425])).
% 19.34/12.95 tff(7427,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 19.34/12.95 inference(transitivity,[status(thm)],[7426, 7424])).
% 19.34/12.95 tff(7428,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7429,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7428, 7427])).
% 19.34/12.95 tff(7430,plain,
% 19.34/12.95 (v104(constB66) | (~v102(constB65))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7429, 293, 7423])).
% 19.34/12.95 tff(7431,plain,
% 19.34/12.95 (v104(constB66)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7430, 7420])).
% 19.34/12.95 tff(7432,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7433,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7434,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 19.34/12.95 tff(7435,plain,
% 19.34/12.95 (~v98(constB66)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7434, 311, 7423, 7294])).
% 19.34/12.95 tff(7436,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7437,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7438,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB65, constB66)) | v96(constB66) | v98(constB66)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 19.34/12.95 tff(7439,plain,
% 19.34/12.95 (v96(constB66) | v98(constB66)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7438, 325, 7423])).
% 19.34/12.95 tff(7440,plain,
% 19.34/12.95 (v96(constB66)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7439, 7435])).
% 19.34/12.95 tff(7441,plain,
% 19.34/12.95 (v1(constB66) <=> v1(constB66)),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7442,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 19.34/12.95 tff(7443,plain,
% 19.34/12.95 (v1(constB66)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 19.34/12.95 tff(7444,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7445,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7446,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7445, 7444])).
% 19.34/12.95 tff(7447,plain,
% 19.34/12.95 (v95(constB66) | (~v96(constB66))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7446, 343, 7423, 7443])).
% 19.34/12.95 tff(7448,plain,
% 19.34/12.95 (v95(constB66)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7447, 7440])).
% 19.34/12.95 tff(7449,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7450,plain,
% 19.34/12.95 (((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66)) <=> ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7451,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66))))),
% 19.34/12.95 inference(monotonicity,[status(thm)],[7450])).
% 19.34/12.95 tff(7452,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 19.34/12.95 inference(transitivity,[status(thm)],[7451, 7449])).
% 19.34/12.95 tff(7453,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7454,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7453, 7452])).
% 19.34/12.95 tff(7455,plain,
% 19.34/12.95 (v94(constB66) | (~v95(constB66)) | (~v104(constB66))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7454, 358, 7423])).
% 19.34/12.95 tff(7456,plain,
% 19.34/12.95 (v94(constB66) | (~v104(constB66))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7455, 7448])).
% 19.34/12.95 tff(7457,plain,
% 19.34/12.95 (v94(constB66)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7456, 7431])).
% 19.34/12.95 tff(7458,plain,
% 19.34/12.95 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB65)) | (~v124(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB65)) | (~v124(constB65, bitIndex2)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7459,plain,
% 19.34/12.95 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB65)) | (~v124(constB65, bitIndex2)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7460,plain,
% 19.34/12.95 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB65)) | (~v124(constB65, bitIndex2))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 19.34/12.95 tff(7461,plain,
% 19.34/12.95 (~v124(constB65, bitIndex2)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7460, 1032, 7387])).
% 19.34/12.95 tff(7462,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7463,plain,
% 19.34/12.95 ((v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2))) <=> ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7464,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2)))),
% 19.34/12.95 inference(monotonicity,[status(thm)],[7463])).
% 19.34/12.95 tff(7465,plain,
% 19.34/12.95 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 19.34/12.95 inference(transitivity,[status(thm)],[7464, 7462])).
% 19.34/12.95 tff(7466,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7467,plain,
% 19.34/12.95 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 19.34/12.95 tff(7468,plain,
% 19.34/12.95 ((~v121(constB65, bitIndex2)) | v124(constB65, bitIndex2)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7467, 391, 7411])).
% 19.34/12.95 tff(7469,plain,
% 19.34/12.95 (~v121(constB65, bitIndex2)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7468, 7461])).
% 19.34/12.95 tff(7470,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7471,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7472,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7471, 7470])).
% 19.34/12.95 tff(7473,plain,
% 19.34/12.95 (v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7472, 409, 7423])).
% 19.34/12.95 tff(7474,plain,
% 19.34/12.95 (~v123(constB66, bitIndex2)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7473, 7469])).
% 19.34/12.95 tff(7475,plain,
% 19.34/12.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7476,plain,
% 19.34/12.95 (((~v84(constB66, bitIndex2)) | (~v94(constB66)) | v123(constB66, bitIndex2)) <=> ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7477,plain,
% 19.34/12.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | (~v94(constB66)) | v123(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66))))),
% 19.34/12.95 inference(monotonicity,[status(thm)],[7476])).
% 19.34/12.95 tff(7478,plain,
% 19.34/12.95 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | (~v94(constB66)) | v123(constB66, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 19.34/12.95 inference(transitivity,[status(thm)],[7477, 7475])).
% 19.34/12.95 tff(7479,plain,
% 19.34/12.95 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB66, bitIndex2)) | (~v94(constB66)) | v123(constB66, bitIndex2))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7480,plain,
% 19.34/12.95 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7479, 7478])).
% 19.34/12.95 tff(7481,plain,
% 19.34/12.95 ((~v84(constB66, bitIndex2)) | (~v94(constB66))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7480, 424, 7474])).
% 19.34/12.95 tff(7482,plain,
% 19.34/12.95 (~v84(constB66, bitIndex2)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7481, 7457])).
% 19.34/12.95 tff(7483,plain,
% 19.34/12.95 ((~v1(constB67)) <=> (~v1(constB67))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7484,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 19.34/12.95 tff(7485,plain,
% 19.34/12.95 (~v1(constB67)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7484, 7483])).
% 19.34/12.95 tff(7486,plain,
% 19.34/12.95 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7487,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 19.34/12.95 tff(7488,plain,
% 19.34/12.95 (nextState(constB66, constB67)),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7487, 7486])).
% 19.34/12.95 tff(7489,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7490,plain,
% 19.34/12.95 (((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7491,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))))),
% 19.34/12.95 inference(monotonicity,[status(thm)],[7490])).
% 19.34/12.95 tff(7492,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 19.34/12.95 inference(transitivity,[status(thm)],[7491, 7489])).
% 19.34/12.95 tff(7493,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7494,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7493, 7492])).
% 19.34/12.95 tff(7495,plain,
% 19.34/12.95 (~v95(constB67)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7494, 89, 7488, 7485])).
% 19.34/12.95 tff(7496,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7497,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 19.34/12.95 inference(quant_inst,[status(thm)],[])).
% 19.34/12.95 tff(7498,plain,
% 19.34/12.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67))),
% 19.34/12.95 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 19.34/12.95 tff(7499,plain,
% 19.34/12.95 (v95(constB67) | (~v94(constB67))),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7498, 106, 7488])).
% 19.34/12.95 tff(7500,plain,
% 19.34/12.95 (~v94(constB67)),
% 19.34/12.95 inference(unit_resolution,[status(thm)],[7499, 7495])).
% 19.34/12.95 tff(7501,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7502,plain,
% 19.34/12.95 (((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2))) <=> (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 19.34/12.95 inference(rewrite,[status(thm)],[])).
% 19.34/12.95 tff(7503,plain,
% 19.34/12.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2))))),
% 19.34/12.96 inference(monotonicity,[status(thm)],[7502])).
% 19.34/12.96 tff(7504,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 19.34/12.96 inference(transitivity,[status(thm)],[7503, 7501])).
% 19.34/12.96 tff(7505,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7506,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 19.34/12.96 tff(7507,plain,
% 19.34/12.96 (v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2))),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7506, 121, 7488])).
% 19.34/12.96 tff(7508,plain,
% 19.34/12.96 (v84(constB66, bitIndex2) | (~v84(constB67, bitIndex2))),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7507, 7500])).
% 19.34/12.96 tff(7509,plain,
% 19.34/12.96 (~v84(constB67, bitIndex2)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7508, 7482])).
% 19.34/12.96 tff(7510,plain,
% 19.34/12.96 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB65)) | v124(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB65)) | v124(constB65, bitIndex1))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7511,plain,
% 19.34/12.96 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB65)) | v124(constB65, bitIndex1))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7512,plain,
% 19.34/12.96 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB65)) | v124(constB65, bitIndex1)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 19.34/12.96 tff(7513,plain,
% 19.34/12.96 (v124(constB65, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7512, 1094, 7387])).
% 19.34/12.96 tff(7514,plain,
% 19.34/12.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB65) | (~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB65) | (~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7515,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB65) | (~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7516,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB65) | (~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 19.34/12.96 tff(7517,plain,
% 19.34/12.96 ((~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7516, 804, 7411])).
% 19.34/12.96 tff(7518,plain,
% 19.34/12.96 (v121(constB65, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7517, 7513])).
% 19.34/12.96 tff(7519,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7520,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7521,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 19.34/12.96 tff(7522,plain,
% 19.34/12.96 ((~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7521, 819, 7423])).
% 19.34/12.96 tff(7523,plain,
% 19.34/12.96 (v123(constB66, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7522, 7518])).
% 19.34/12.96 tff(7524,plain,
% 19.34/12.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7525,plain,
% 19.34/12.96 ((v84(constB66, bitIndex1) | (~v94(constB66)) | (~v123(constB66, bitIndex1))) <=> (v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7526,plain,
% 19.34/12.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v94(constB66)) | (~v123(constB66, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66))))),
% 19.34/12.96 inference(monotonicity,[status(thm)],[7525])).
% 19.34/12.96 tff(7527,plain,
% 19.34/12.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v94(constB66)) | (~v123(constB66, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66)))),
% 19.34/12.96 inference(transitivity,[status(thm)],[7526, 7524])).
% 19.34/12.96 tff(7528,plain,
% 19.34/12.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v94(constB66)) | (~v123(constB66, bitIndex1)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7529,plain,
% 19.34/12.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7528, 7527])).
% 19.34/12.96 tff(7530,plain,
% 19.34/12.96 (v84(constB66, bitIndex1) | (~v94(constB66))),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7529, 834, 7523])).
% 19.34/12.96 tff(7531,plain,
% 19.34/12.96 (v84(constB66, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7530, 7457])).
% 19.34/12.96 tff(7532,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7533,plain,
% 19.34/12.96 (((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1)) <=> ((~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7534,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1)))),
% 19.34/12.96 inference(monotonicity,[status(thm)],[7533])).
% 19.34/12.96 tff(7535,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1))),
% 19.34/12.96 inference(transitivity,[status(thm)],[7534, 7532])).
% 19.34/12.96 tff(7536,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7537,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7536, 7535])).
% 19.34/12.96 tff(7538,plain,
% 19.34/12.96 ((~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7537, 852, 7488])).
% 19.34/12.96 tff(7539,plain,
% 19.34/12.96 ((~v84(constB66, bitIndex1)) | v84(constB67, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7538, 7500])).
% 19.34/12.96 tff(7540,plain,
% 19.34/12.96 (v84(constB67, bitIndex1)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7539, 7531])).
% 19.34/12.96 tff(7541,plain,
% 19.34/12.96 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB65)) | v124(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB65)) | v124(constB65, bitIndex0))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7542,plain,
% 19.34/12.96 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB65)) | v124(constB65, bitIndex0))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7543,plain,
% 19.34/12.96 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB65)) | v124(constB65, bitIndex0)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7542, 7541])).
% 19.34/12.96 tff(7544,plain,
% 19.34/12.96 (v124(constB65, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7543, 1135, 7387])).
% 19.34/12.96 tff(7545,plain,
% 19.34/12.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7546,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7547,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7546, 7545])).
% 19.34/12.96 tff(7548,plain,
% 19.34/12.96 ((~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7547, 557, 7411])).
% 19.34/12.96 tff(7549,plain,
% 19.34/12.96 (v121(constB65, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7548, 7544])).
% 19.34/12.96 tff(7550,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7551,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7552,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7551, 7550])).
% 19.34/12.96 tff(7553,plain,
% 19.34/12.96 ((~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7552, 572, 7423])).
% 19.34/12.96 tff(7554,plain,
% 19.34/12.96 (v123(constB66, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7553, 7549])).
% 19.34/12.96 tff(7555,plain,
% 19.34/12.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7556,plain,
% 19.34/12.96 ((v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0))) <=> (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7557,plain,
% 19.34/12.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66))))),
% 19.34/12.96 inference(monotonicity,[status(thm)],[7556])).
% 19.34/12.96 tff(7558,plain,
% 19.34/12.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 19.34/12.96 inference(transitivity,[status(thm)],[7557, 7555])).
% 19.34/12.96 tff(7559,plain,
% 19.34/12.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7560,plain,
% 19.34/12.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7559, 7558])).
% 19.34/12.96 tff(7561,plain,
% 19.34/12.96 (v84(constB66, bitIndex0) | (~v94(constB66))),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7560, 587, 7554])).
% 19.34/12.96 tff(7562,plain,
% 19.34/12.96 (v84(constB66, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7561, 7457])).
% 19.34/12.96 tff(7563,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7564,plain,
% 19.34/12.96 (((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0)) <=> ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7565,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0)))),
% 19.34/12.96 inference(monotonicity,[status(thm)],[7564])).
% 19.34/12.96 tff(7566,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 19.34/12.96 inference(transitivity,[status(thm)],[7565, 7563])).
% 19.34/12.96 tff(7567,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7568,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 19.34/12.96 tff(7569,plain,
% 19.34/12.96 ((~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7568, 605, 7488])).
% 19.34/12.96 tff(7570,plain,
% 19.34/12.96 ((~v84(constB66, bitIndex0)) | v84(constB67, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7569, 7500])).
% 19.34/12.96 tff(7571,plain,
% 19.34/12.96 (v84(constB67, bitIndex0)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7570, 7562])).
% 19.34/12.96 tff(7572,plain,
% 19.34/12.96 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex1)) | v84(constB67, bitIndex2) | v116(constB67))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex1)) | v84(constB67, bitIndex2) | v116(constB67))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7573,plain,
% 19.34/12.96 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex1)) | v84(constB67, bitIndex2) | v116(constB67))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7574,plain,
% 19.34/12.96 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex1)) | v84(constB67, bitIndex2) | v116(constB67)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 19.34/12.96 tff(7575,plain,
% 19.34/12.96 (v116(constB67)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7574, 1176, 7571, 7540, 7509])).
% 19.34/12.96 tff(7576,plain,
% 19.34/12.96 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB67) | (~v116(constB67)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7577,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB67) | (~v116(constB67)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7578,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB67) | (~v116(constB67))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 19.34/12.96 tff(7579,plain,
% 19.34/12.96 (v110(constB67)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7578, 1187, 7575])).
% 19.34/12.96 tff(7580,plain,
% 19.34/12.96 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB67) | (~v110(constB67)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB67) | (~v110(constB67)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7581,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB67) | (~v110(constB67)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7582,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB67) | (~v110(constB67))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7581, 7580])).
% 19.34/12.96 tff(7583,plain,
% 19.34/12.96 (v109(constB67)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7582, 228, 7579])).
% 19.34/12.96 tff(7584,plain,
% 19.34/12.96 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB67) | (~v109(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB67) | (~v109(constB67)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7585,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB67) | (~v109(constB67)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7586,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB67) | (~v109(constB67))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 19.34/12.96 tff(7587,plain,
% 19.34/12.96 (v108(constB67)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7586, 239, 7583])).
% 19.34/12.96 tff(7588,plain,
% 19.34/12.96 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB67) | (~v108(constB67)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB67) | (~v108(constB67)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7589,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB67) | (~v108(constB67)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7590,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB67) | (~v108(constB67))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 19.34/12.96 tff(7591,plain,
% 19.34/12.96 (v107(constB67)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7590, 250, 7587])).
% 19.34/12.96 tff(7592,assumption,(v26(constB67)), introduced(assumption)).
% 19.34/12.96 tff(7593,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7594,plain,
% 19.34/12.96 ($false),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7593, 18, 7592])).
% 19.34/12.96 tff(7595,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 19.34/12.96 tff(7596,plain,
% 19.34/12.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7597,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7598,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 19.34/12.96 tff(7599,plain,
% 19.34/12.96 ((~v107(constB67)) | v106(constB67)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7598, 264, 7595])).
% 19.34/12.96 tff(7600,plain,
% 19.34/12.96 (v106(constB67)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7599, 7591])).
% 19.34/12.96 tff(7601,plain,
% 19.34/12.96 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB67) | (~v106(constB67)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB67) | (~v106(constB67)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7602,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB67) | (~v106(constB67)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7603,plain,
% 19.34/12.96 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB67) | (~v106(constB67))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7602, 7601])).
% 19.34/12.96 tff(7604,plain,
% 19.34/12.96 (v102(constB67)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7603, 276, 7600])).
% 19.34/12.96 tff(7605,plain,
% 19.34/12.96 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7606,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 19.34/12.96 tff(7607,plain,
% 19.34/12.96 (nextState(constB67, constB68)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7606, 7605])).
% 19.34/12.96 tff(7608,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7609,plain,
% 19.34/12.96 (((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7610,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))))),
% 19.34/12.96 inference(monotonicity,[status(thm)],[7609])).
% 19.34/12.96 tff(7611,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 19.34/12.96 inference(transitivity,[status(thm)],[7610, 7608])).
% 19.34/12.96 tff(7612,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7613,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 19.34/12.96 tff(7614,plain,
% 19.34/12.96 (v104(constB68) | (~v102(constB67))),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7613, 293, 7607])).
% 19.34/12.96 tff(7615,plain,
% 19.34/12.96 (v104(constB68)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7614, 7604])).
% 19.34/12.96 tff(7616,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7617,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7618,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7617, 7616])).
% 19.34/12.96 tff(7619,plain,
% 19.34/12.96 (~v98(constB68)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7618, 311, 7607, 7485])).
% 19.34/12.96 tff(7620,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7621,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7622,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7621, 7620])).
% 19.34/12.96 tff(7623,plain,
% 19.34/12.96 (v96(constB68) | v98(constB68)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7622, 325, 7607])).
% 19.34/12.96 tff(7624,plain,
% 19.34/12.96 (v96(constB68)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7623, 7619])).
% 19.34/12.96 tff(7625,plain,
% 19.34/12.96 (v1(constB68) <=> v1(constB68)),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7626,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 19.34/12.96 tff(7627,plain,
% 19.34/12.96 (v1(constB68)),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7626, 7625])).
% 19.34/12.96 tff(7628,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7629,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 19.34/12.96 inference(quant_inst,[status(thm)],[])).
% 19.34/12.96 tff(7630,plain,
% 19.34/12.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68))),
% 19.34/12.96 inference(modus_ponens,[status(thm)],[7629, 7628])).
% 19.34/12.96 tff(7631,plain,
% 19.34/12.96 (v95(constB68) | (~v96(constB68))),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7630, 343, 7607, 7627])).
% 19.34/12.96 tff(7632,plain,
% 19.34/12.96 (v95(constB68)),
% 19.34/12.96 inference(unit_resolution,[status(thm)],[7631, 7624])).
% 19.34/12.96 tff(7633,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7634,plain,
% 19.34/12.96 (((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68)) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 19.34/12.96 inference(rewrite,[status(thm)],[])).
% 19.34/12.96 tff(7635,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68))))),
% 19.34/12.96 inference(monotonicity,[status(thm)],[7634])).
% 19.34/12.96 tff(7636,plain,
% 19.34/12.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7635, 7633])).
% 19.34/12.97 tff(7637,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7638,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7637, 7636])).
% 19.34/12.97 tff(7639,plain,
% 19.34/12.97 (v94(constB68) | (~v95(constB68)) | (~v104(constB68))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7638, 358, 7607])).
% 19.34/12.97 tff(7640,plain,
% 19.34/12.97 (v94(constB68) | (~v104(constB68))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7639, 7632])).
% 19.34/12.97 tff(7641,plain,
% 19.34/12.97 (v94(constB68)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7640, 7615])).
% 19.34/12.97 tff(7642,plain,
% 19.34/12.97 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB67)) | v124(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB67)) | v124(constB67, bitIndex2))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7643,plain,
% 19.34/12.97 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB67)) | v124(constB67, bitIndex2))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7644,plain,
% 19.34/12.97 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB67)) | v124(constB67, bitIndex2)),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7643, 7642])).
% 19.34/12.97 tff(7645,plain,
% 19.34/12.97 (v124(constB67, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7644, 1259, 7575])).
% 19.34/12.97 tff(7646,plain,
% 19.34/12.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7647,plain,
% 19.34/12.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7648,plain,
% 19.34/12.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2)),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7647, 7646])).
% 19.34/12.97 tff(7649,plain,
% 19.34/12.97 ((~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7648, 1273, 7595])).
% 19.34/12.97 tff(7650,plain,
% 19.34/12.97 (v121(constB67, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7649, 7645])).
% 19.34/12.97 tff(7651,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7652,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7653,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2)),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7652, 7651])).
% 19.34/12.97 tff(7654,plain,
% 19.34/12.97 ((~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7653, 1288, 7607])).
% 19.34/12.97 tff(7655,plain,
% 19.34/12.97 (v123(constB68, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7654, 7650])).
% 19.34/12.97 tff(7656,plain,
% 19.34/12.97 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7657,plain,
% 19.34/12.97 ((v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2))) <=> (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7658,plain,
% 19.34/12.97 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68))))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7657])).
% 19.34/12.97 tff(7659,plain,
% 19.34/12.97 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7658, 7656])).
% 19.34/12.97 tff(7660,plain,
% 19.34/12.97 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7661,plain,
% 19.34/12.97 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 19.34/12.97 tff(7662,plain,
% 19.34/12.97 (v84(constB68, bitIndex2) | (~v94(constB68))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7661, 1303, 7655])).
% 19.34/12.97 tff(7663,plain,
% 19.34/12.97 (v84(constB68, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7662, 7641])).
% 19.34/12.97 tff(7664,plain,
% 19.34/12.97 ((~v1(constB69)) <=> (~v1(constB69))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7665,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 19.34/12.97 tff(7666,plain,
% 19.34/12.97 (~v1(constB69)),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7665, 7664])).
% 19.34/12.97 tff(7667,plain,
% 19.34/12.97 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7668,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 19.34/12.97 tff(7669,plain,
% 19.34/12.97 (nextState(constB68, constB69)),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7668, 7667])).
% 19.34/12.97 tff(7670,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7671,plain,
% 19.34/12.97 (((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7672,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7671])).
% 19.34/12.97 tff(7673,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7672, 7670])).
% 19.34/12.97 tff(7674,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7675,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 19.34/12.97 tff(7676,plain,
% 19.34/12.97 (~v95(constB69)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7675, 89, 7669, 7666])).
% 19.34/12.97 tff(7677,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7678,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7679,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7678, 7677])).
% 19.34/12.97 tff(7680,plain,
% 19.34/12.97 (v95(constB69) | (~v94(constB69))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7679, 106, 7669])).
% 19.34/12.97 tff(7681,plain,
% 19.34/12.97 (~v94(constB69)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7680, 7676])).
% 19.34/12.97 tff(7682,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7683,plain,
% 19.34/12.97 (((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2)) <=> ((~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7684,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2)))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7683])).
% 19.34/12.97 tff(7685,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7684, 7682])).
% 19.34/12.97 tff(7686,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7687,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2)),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7686, 7685])).
% 19.34/12.97 tff(7688,plain,
% 19.34/12.97 ((~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7687, 1339, 7669])).
% 19.34/12.97 tff(7689,plain,
% 19.34/12.97 ((~v84(constB68, bitIndex2)) | v84(constB69, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7688, 7681])).
% 19.34/12.97 tff(7690,plain,
% 19.34/12.97 (v84(constB69, bitIndex2)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7689, 7663])).
% 19.34/12.97 tff(7691,plain,
% 19.34/12.97 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB67)) | (~v124(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB67)) | (~v124(constB67, bitIndex1)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7692,plain,
% 19.34/12.97 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB67)) | (~v124(constB67, bitIndex1)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7693,plain,
% 19.34/12.97 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB67)) | (~v124(constB67, bitIndex1))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 19.34/12.97 tff(7694,plain,
% 19.34/12.97 (~v124(constB67, bitIndex1)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7693, 1358, 7575])).
% 19.34/12.97 tff(7695,plain,
% 19.34/12.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7696,plain,
% 19.34/12.97 ((v26(constB67) | v124(constB67, bitIndex1) | (~v121(constB67, bitIndex1))) <=> ((~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7697,plain,
% 19.34/12.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB67) | v124(constB67, bitIndex1) | (~v121(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1)))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7696])).
% 19.34/12.97 tff(7698,plain,
% 19.34/12.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB67) | v124(constB67, bitIndex1) | (~v121(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7697, 7695])).
% 19.34/12.97 tff(7699,plain,
% 19.34/12.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB67) | v124(constB67, bitIndex1) | (~v121(constB67, bitIndex1)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7700,plain,
% 19.34/12.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1)),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7699, 7698])).
% 19.34/12.97 tff(7701,plain,
% 19.34/12.97 ((~v121(constB67, bitIndex1)) | v124(constB67, bitIndex1)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7700, 483, 7595])).
% 19.34/12.97 tff(7702,plain,
% 19.34/12.97 (~v121(constB67, bitIndex1)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7701, 7694])).
% 19.34/12.97 tff(7703,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7704,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7705,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7704, 7703])).
% 19.34/12.97 tff(7706,plain,
% 19.34/12.97 (v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7705, 501, 7607])).
% 19.34/12.97 tff(7707,plain,
% 19.34/12.97 (~v123(constB68, bitIndex1)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7706, 7702])).
% 19.34/12.97 tff(7708,plain,
% 19.34/12.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7709,plain,
% 19.34/12.97 (((~v84(constB68, bitIndex1)) | (~v94(constB68)) | v123(constB68, bitIndex1)) <=> ((~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7710,plain,
% 19.34/12.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~v94(constB68)) | v123(constB68, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68))))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7709])).
% 19.34/12.97 tff(7711,plain,
% 19.34/12.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~v94(constB68)) | v123(constB68, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68)))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7710, 7708])).
% 19.34/12.97 tff(7712,plain,
% 19.34/12.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~v94(constB68)) | v123(constB68, bitIndex1))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7713,plain,
% 19.34/12.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 19.34/12.97 tff(7714,plain,
% 19.34/12.97 ((~v84(constB68, bitIndex1)) | (~v94(constB68))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7713, 516, 7707])).
% 19.34/12.97 tff(7715,plain,
% 19.34/12.97 (~v84(constB68, bitIndex1)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7714, 7641])).
% 19.34/12.97 tff(7716,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7717,plain,
% 19.34/12.97 (((~nextState(constB68, constB69)) | v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1))) <=> (v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7718,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1))))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7717])).
% 19.34/12.97 tff(7719,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1)))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7718, 7716])).
% 19.34/12.97 tff(7720,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7721,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 19.34/12.97 tff(7722,plain,
% 19.34/12.97 (v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7721, 142, 7669])).
% 19.34/12.97 tff(7723,plain,
% 19.34/12.97 (v84(constB68, bitIndex1) | (~v84(constB69, bitIndex1))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7722, 7681])).
% 19.34/12.97 tff(7724,plain,
% 19.34/12.97 (~v84(constB69, bitIndex1)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7723, 7715])).
% 19.34/12.97 tff(7725,plain,
% 19.34/12.97 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB67)) | (~v124(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB67)) | (~v124(constB67, bitIndex0)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7726,plain,
% 19.34/12.97 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB67)) | (~v124(constB67, bitIndex0)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7727,plain,
% 19.34/12.97 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB67)) | (~v124(constB67, bitIndex0))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7726, 7725])).
% 19.34/12.97 tff(7728,plain,
% 19.34/12.97 (~v124(constB67, bitIndex0)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7727, 1402, 7575])).
% 19.34/12.97 tff(7729,plain,
% 19.34/12.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7730,plain,
% 19.34/12.97 ((v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0))) <=> ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7731,plain,
% 19.34/12.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0)))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7730])).
% 19.34/12.97 tff(7732,plain,
% 19.34/12.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7731, 7729])).
% 19.34/12.97 tff(7733,plain,
% 19.34/12.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7734,plain,
% 19.34/12.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0)),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7733, 7732])).
% 19.34/12.97 tff(7735,plain,
% 19.34/12.97 ((~v121(constB67, bitIndex0)) | v124(constB67, bitIndex0)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7734, 885, 7595])).
% 19.34/12.97 tff(7736,plain,
% 19.34/12.97 (~v121(constB67, bitIndex0)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7735, 7728])).
% 19.34/12.97 tff(7737,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7738,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7739,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7738, 7737])).
% 19.34/12.97 tff(7740,plain,
% 19.34/12.97 (v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7739, 903, 7607])).
% 19.34/12.97 tff(7741,plain,
% 19.34/12.97 (~v123(constB68, bitIndex0)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7740, 7736])).
% 19.34/12.97 tff(7742,plain,
% 19.34/12.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7743,plain,
% 19.34/12.97 (((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0)) <=> ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7744,plain,
% 19.34/12.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68))))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7743])).
% 19.34/12.97 tff(7745,plain,
% 19.34/12.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7744, 7742])).
% 19.34/12.97 tff(7746,plain,
% 19.34/12.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7747,plain,
% 19.34/12.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 19.34/12.97 tff(7748,plain,
% 19.34/12.97 ((~v84(constB68, bitIndex0)) | (~v94(constB68))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7747, 918, 7741])).
% 19.34/12.97 tff(7749,plain,
% 19.34/12.97 (~v84(constB68, bitIndex0)),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7748, 7641])).
% 19.34/12.97 tff(7750,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7751,plain,
% 19.34/12.97 (((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0))) <=> (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 19.34/12.97 inference(rewrite,[status(thm)],[])).
% 19.34/12.97 tff(7752,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0))))),
% 19.34/12.97 inference(monotonicity,[status(thm)],[7751])).
% 19.34/12.97 tff(7753,plain,
% 19.34/12.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 19.34/12.97 inference(transitivity,[status(thm)],[7752, 7750])).
% 19.34/12.97 tff(7754,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 19.34/12.97 inference(quant_inst,[status(thm)],[])).
% 19.34/12.97 tff(7755,plain,
% 19.34/12.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0))),
% 19.34/12.97 inference(modus_ponens,[status(thm)],[7754, 7753])).
% 19.34/12.97 tff(7756,plain,
% 19.34/12.97 (v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0))),
% 19.34/12.97 inference(unit_resolution,[status(thm)],[7755, 163, 7669])).
% 19.34/12.97 tff(7757,plain,
% 19.34/12.97 (v84(constB68, bitIndex0) | (~v84(constB69, bitIndex0))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7756, 7681])).
% 19.34/12.98 tff(7758,plain,
% 19.34/12.98 (~v84(constB69, bitIndex0)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7757, 7749])).
% 19.34/12.98 tff(7759,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7760,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7761,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 19.34/12.98 tff(7762,plain,
% 19.34/12.98 (v172(constB69)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7761, 1446, 7758, 7724, 7690])).
% 19.34/12.98 tff(7763,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB69) | (~v172(constB69)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB69) | (~v172(constB69)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7764,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB69) | (~v172(constB69)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7765,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB69) | (~v172(constB69))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 19.34/12.98 tff(7766,plain,
% 19.34/12.98 (v109(constB69)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7765, 1457, 7762])).
% 19.34/12.98 tff(7767,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB69) | (~v109(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB69) | (~v109(constB69)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7768,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB69) | (~v109(constB69)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7769,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB69) | (~v109(constB69))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 19.34/12.98 tff(7770,plain,
% 19.34/12.98 (v108(constB69)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7769, 239, 7766])).
% 19.34/12.98 tff(7771,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB69) | (~v108(constB69)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB69) | (~v108(constB69)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7772,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB69) | (~v108(constB69)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7773,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB69) | (~v108(constB69))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 19.34/12.98 tff(7774,plain,
% 19.34/12.98 (v107(constB69)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7773, 250, 7770])).
% 19.34/12.98 tff(7775,assumption,(v26(constB69)), introduced(assumption)).
% 19.34/12.98 tff(7776,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7777,plain,
% 19.34/12.98 ($false),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7776, 18, 7775])).
% 19.34/12.98 tff(7778,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 19.34/12.98 tff(7779,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | v106(constB69) | (~v107(constB69)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7780,plain,
% 19.34/12.98 ((v26(constB69) | (~v107(constB69)) | v106(constB69)) <=> (v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7781,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | v106(constB69) | (~v107(constB69))))),
% 19.34/12.98 inference(monotonicity,[status(thm)],[7780])).
% 19.34/12.98 tff(7782,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 19.34/12.98 inference(transitivity,[status(thm)],[7781, 7779])).
% 19.34/12.98 tff(7783,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7784,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7783, 7782])).
% 19.34/12.98 tff(7785,plain,
% 19.34/12.98 (v106(constB69) | (~v107(constB69))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7784, 264, 7778])).
% 19.34/12.98 tff(7786,plain,
% 19.34/12.98 (v106(constB69)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7785, 7774])).
% 19.34/12.98 tff(7787,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB69) | (~v106(constB69)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB69) | (~v106(constB69)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7788,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB69) | (~v106(constB69)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7789,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB69) | (~v106(constB69))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7788, 7787])).
% 19.34/12.98 tff(7790,plain,
% 19.34/12.98 (v102(constB69)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7789, 276, 7786])).
% 19.34/12.98 tff(7791,plain,
% 19.34/12.98 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7792,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 19.34/12.98 tff(7793,plain,
% 19.34/12.98 (nextState(constB69, constB70)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 19.34/12.98 tff(7794,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7795,plain,
% 19.34/12.98 (((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7796,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))))),
% 19.34/12.98 inference(monotonicity,[status(thm)],[7795])).
% 19.34/12.98 tff(7797,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 19.34/12.98 inference(transitivity,[status(thm)],[7796, 7794])).
% 19.34/12.98 tff(7798,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7799,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 19.34/12.98 tff(7800,plain,
% 19.34/12.98 (v104(constB70) | (~v102(constB69))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7799, 293, 7793])).
% 19.34/12.98 tff(7801,plain,
% 19.34/12.98 (v104(constB70)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7800, 7790])).
% 19.34/12.98 tff(7802,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7803,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7804,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 19.34/12.98 tff(7805,plain,
% 19.34/12.98 (~v98(constB70)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7804, 311, 7793, 7666])).
% 19.34/12.98 tff(7806,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7807,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7808,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 19.34/12.98 tff(7809,plain,
% 19.34/12.98 (v96(constB70) | v98(constB70)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7808, 325, 7793])).
% 19.34/12.98 tff(7810,plain,
% 19.34/12.98 (v96(constB70)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7809, 7805])).
% 19.34/12.98 tff(7811,plain,
% 19.34/12.98 (v1(constB70) <=> v1(constB70)),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7812,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 19.34/12.98 tff(7813,plain,
% 19.34/12.98 (v1(constB70)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 19.34/12.98 tff(7814,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7815,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7816,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7815, 7814])).
% 19.34/12.98 tff(7817,plain,
% 19.34/12.98 (v95(constB70) | (~v96(constB70))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7816, 343, 7793, 7813])).
% 19.34/12.98 tff(7818,plain,
% 19.34/12.98 (v95(constB70)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7817, 7810])).
% 19.34/12.98 tff(7819,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7820,plain,
% 19.34/12.98 (((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70)) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7821,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70))))),
% 19.34/12.98 inference(monotonicity,[status(thm)],[7820])).
% 19.34/12.98 tff(7822,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 19.34/12.98 inference(transitivity,[status(thm)],[7821, 7819])).
% 19.34/12.98 tff(7823,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7824,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 19.34/12.98 tff(7825,plain,
% 19.34/12.98 (v94(constB70) | (~v95(constB70)) | (~v104(constB70))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7824, 358, 7793])).
% 19.34/12.98 tff(7826,plain,
% 19.34/12.98 (v94(constB70) | (~v104(constB70))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7825, 7818])).
% 19.34/12.98 tff(7827,plain,
% 19.34/12.98 (v94(constB70)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7826, 7801])).
% 19.34/12.98 tff(7828,plain,
% 19.34/12.98 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB69)) | v124(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB69)) | v124(constB69, bitIndex2))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7829,plain,
% 19.34/12.98 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB69)) | v124(constB69, bitIndex2))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7830,plain,
% 19.34/12.98 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB69)) | v124(constB69, bitIndex2)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7829, 7828])).
% 19.34/12.98 tff(7831,plain,
% 19.34/12.98 (v124(constB69, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7830, 1528, 7762])).
% 19.34/12.98 tff(7832,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB69) | (~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB69) | (~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7833,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB69) | (~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7834,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB69) | (~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7833, 7832])).
% 19.34/12.98 tff(7835,plain,
% 19.34/12.98 ((~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7834, 1273, 7778])).
% 19.34/12.98 tff(7836,plain,
% 19.34/12.98 (v121(constB69, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7835, 7831])).
% 19.34/12.98 tff(7837,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7838,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7839,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 19.34/12.98 tff(7840,plain,
% 19.34/12.98 ((~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7839, 1288, 7793])).
% 19.34/12.98 tff(7841,plain,
% 19.34/12.98 (v123(constB70, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7840, 7836])).
% 19.34/12.98 tff(7842,plain,
% 19.34/12.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7843,plain,
% 19.34/12.98 ((v84(constB70, bitIndex2) | (~v94(constB70)) | (~v123(constB70, bitIndex2))) <=> (v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7844,plain,
% 19.34/12.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v94(constB70)) | (~v123(constB70, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70))))),
% 19.34/12.98 inference(monotonicity,[status(thm)],[7843])).
% 19.34/12.98 tff(7845,plain,
% 19.34/12.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v94(constB70)) | (~v123(constB70, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70)))),
% 19.34/12.98 inference(transitivity,[status(thm)],[7844, 7842])).
% 19.34/12.98 tff(7846,plain,
% 19.34/12.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v94(constB70)) | (~v123(constB70, bitIndex2)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7847,plain,
% 19.34/12.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7846, 7845])).
% 19.34/12.98 tff(7848,plain,
% 19.34/12.98 (v84(constB70, bitIndex2) | (~v94(constB70))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7847, 1303, 7841])).
% 19.34/12.98 tff(7849,plain,
% 19.34/12.98 (v84(constB70, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7848, 7827])).
% 19.34/12.98 tff(7850,plain,
% 19.34/12.98 ((~v1(constB71)) <=> (~v1(constB71))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7851,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 19.34/12.98 tff(7852,plain,
% 19.34/12.98 (~v1(constB71)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 19.34/12.98 tff(7853,plain,
% 19.34/12.98 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7854,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 19.34/12.98 tff(7855,plain,
% 19.34/12.98 (nextState(constB70, constB71)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7854, 7853])).
% 19.34/12.98 tff(7856,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7857,plain,
% 19.34/12.98 (((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7858,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))))),
% 19.34/12.98 inference(monotonicity,[status(thm)],[7857])).
% 19.34/12.98 tff(7859,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 19.34/12.98 inference(transitivity,[status(thm)],[7858, 7856])).
% 19.34/12.98 tff(7860,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7861,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7860, 7859])).
% 19.34/12.98 tff(7862,plain,
% 19.34/12.98 (~v95(constB71)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7861, 89, 7855, 7852])).
% 19.34/12.98 tff(7863,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7864,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7865,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7864, 7863])).
% 19.34/12.98 tff(7866,plain,
% 19.34/12.98 (v95(constB71) | (~v94(constB71))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7865, 106, 7855])).
% 19.34/12.98 tff(7867,plain,
% 19.34/12.98 (~v94(constB71)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7866, 7862])).
% 19.34/12.98 tff(7868,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7869,plain,
% 19.34/12.98 (((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2)) <=> ((~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7870,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2)))),
% 19.34/12.98 inference(monotonicity,[status(thm)],[7869])).
% 19.34/12.98 tff(7871,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2))),
% 19.34/12.98 inference(transitivity,[status(thm)],[7870, 7868])).
% 19.34/12.98 tff(7872,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7873,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7872, 7871])).
% 19.34/12.98 tff(7874,plain,
% 19.34/12.98 ((~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7873, 1339, 7855])).
% 19.34/12.98 tff(7875,plain,
% 19.34/12.98 ((~v84(constB70, bitIndex2)) | v84(constB71, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7874, 7867])).
% 19.34/12.98 tff(7876,plain,
% 19.34/12.98 (v84(constB71, bitIndex2)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7875, 7849])).
% 19.34/12.98 tff(7877,plain,
% 19.34/12.98 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB69)) | (~v124(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB69)) | (~v124(constB69, bitIndex1)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7878,plain,
% 19.34/12.98 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB69)) | (~v124(constB69, bitIndex1)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7879,plain,
% 19.34/12.98 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB69)) | (~v124(constB69, bitIndex1))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 19.34/12.98 tff(7880,plain,
% 19.34/12.98 (~v124(constB69, bitIndex1)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7879, 1587, 7762])).
% 19.34/12.98 tff(7881,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7882,plain,
% 19.34/12.98 ((v26(constB69) | v124(constB69, bitIndex1) | (~v121(constB69, bitIndex1))) <=> ((~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7883,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB69) | v124(constB69, bitIndex1) | (~v121(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1)))),
% 19.34/12.98 inference(monotonicity,[status(thm)],[7882])).
% 19.34/12.98 tff(7884,plain,
% 19.34/12.98 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB69) | v124(constB69, bitIndex1) | (~v121(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1))),
% 19.34/12.98 inference(transitivity,[status(thm)],[7883, 7881])).
% 19.34/12.98 tff(7885,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB69) | v124(constB69, bitIndex1) | (~v121(constB69, bitIndex1)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7886,plain,
% 19.34/12.98 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1)),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7885, 7884])).
% 19.34/12.98 tff(7887,plain,
% 19.34/12.98 ((~v121(constB69, bitIndex1)) | v124(constB69, bitIndex1)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7886, 483, 7778])).
% 19.34/12.98 tff(7888,plain,
% 19.34/12.98 (~v121(constB69, bitIndex1)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7887, 7880])).
% 19.34/12.98 tff(7889,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7890,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1)))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7891,plain,
% 19.34/12.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7890, 7889])).
% 19.34/12.98 tff(7892,plain,
% 19.34/12.98 (v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7891, 501, 7793])).
% 19.34/12.98 tff(7893,plain,
% 19.34/12.98 (~v123(constB70, bitIndex1)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7892, 7888])).
% 19.34/12.98 tff(7894,plain,
% 19.34/12.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7895,plain,
% 19.34/12.98 (((~v84(constB70, bitIndex1)) | (~v94(constB70)) | v123(constB70, bitIndex1)) <=> ((~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.98 tff(7896,plain,
% 19.34/12.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~v94(constB70)) | v123(constB70, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70))))),
% 19.34/12.98 inference(monotonicity,[status(thm)],[7895])).
% 19.34/12.98 tff(7897,plain,
% 19.34/12.98 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~v94(constB70)) | v123(constB70, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70)))),
% 19.34/12.98 inference(transitivity,[status(thm)],[7896, 7894])).
% 19.34/12.98 tff(7898,plain,
% 19.34/12.98 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~v94(constB70)) | v123(constB70, bitIndex1))),
% 19.34/12.98 inference(quant_inst,[status(thm)],[])).
% 19.34/12.98 tff(7899,plain,
% 19.34/12.98 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70))),
% 19.34/12.98 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 19.34/12.98 tff(7900,plain,
% 19.34/12.98 ((~v84(constB70, bitIndex1)) | (~v94(constB70))),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7899, 516, 7893])).
% 19.34/12.98 tff(7901,plain,
% 19.34/12.98 (~v84(constB70, bitIndex1)),
% 19.34/12.98 inference(unit_resolution,[status(thm)],[7900, 7827])).
% 19.34/12.98 tff(7902,plain,
% 19.34/12.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1)))),
% 19.34/12.98 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7903,plain,
% 19.34/12.99 (((~nextState(constB70, constB71)) | v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1))) <=> (v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7904,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1))))),
% 19.34/12.99 inference(monotonicity,[status(thm)],[7903])).
% 19.34/12.99 tff(7905,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1)))),
% 19.34/12.99 inference(transitivity,[status(thm)],[7904, 7902])).
% 19.34/12.99 tff(7906,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7907,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7906, 7905])).
% 19.34/12.99 tff(7908,plain,
% 19.34/12.99 (v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7907, 142, 7855])).
% 19.34/12.99 tff(7909,plain,
% 19.34/12.99 (v84(constB70, bitIndex1) | (~v84(constB71, bitIndex1))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7908, 7867])).
% 19.34/12.99 tff(7910,plain,
% 19.34/12.99 (~v84(constB71, bitIndex1)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7909, 7901])).
% 19.34/12.99 tff(7911,plain,
% 19.34/12.99 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB69)) | v124(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB69)) | v124(constB69, bitIndex0))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7912,plain,
% 19.34/12.99 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB69)) | v124(constB69, bitIndex0))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7913,plain,
% 19.34/12.99 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB69)) | v124(constB69, bitIndex0)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7912, 7911])).
% 19.34/12.99 tff(7914,plain,
% 19.34/12.99 (v124(constB69, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7913, 1631, 7762])).
% 19.34/12.99 tff(7915,plain,
% 19.34/12.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7916,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7917,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7916, 7915])).
% 19.34/12.99 tff(7918,plain,
% 19.34/12.99 ((~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7917, 557, 7778])).
% 19.34/12.99 tff(7919,plain,
% 19.34/12.99 (v121(constB69, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7918, 7914])).
% 19.34/12.99 tff(7920,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7921,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7922,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 19.34/12.99 tff(7923,plain,
% 19.34/12.99 ((~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7922, 572, 7793])).
% 19.34/12.99 tff(7924,plain,
% 19.34/12.99 (v123(constB70, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7923, 7919])).
% 19.34/12.99 tff(7925,plain,
% 19.34/12.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7926,plain,
% 19.34/12.99 ((v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0))) <=> (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7927,plain,
% 19.34/12.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70))))),
% 19.34/12.99 inference(monotonicity,[status(thm)],[7926])).
% 19.34/12.99 tff(7928,plain,
% 19.34/12.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 19.34/12.99 inference(transitivity,[status(thm)],[7927, 7925])).
% 19.34/12.99 tff(7929,plain,
% 19.34/12.99 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7930,plain,
% 19.34/12.99 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7929, 7928])).
% 19.34/12.99 tff(7931,plain,
% 19.34/12.99 (v84(constB70, bitIndex0) | (~v94(constB70))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7930, 587, 7924])).
% 19.34/12.99 tff(7932,plain,
% 19.34/12.99 (v84(constB70, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7931, 7827])).
% 19.34/12.99 tff(7933,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7934,plain,
% 19.34/12.99 (((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0)) <=> ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7935,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0)))),
% 19.34/12.99 inference(monotonicity,[status(thm)],[7934])).
% 19.34/12.99 tff(7936,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 19.34/12.99 inference(transitivity,[status(thm)],[7935, 7933])).
% 19.34/12.99 tff(7937,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7938,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 19.34/12.99 tff(7939,plain,
% 19.34/12.99 ((~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7938, 605, 7855])).
% 19.34/12.99 tff(7940,plain,
% 19.34/12.99 ((~v84(constB70, bitIndex0)) | v84(constB71, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7939, 7867])).
% 19.34/12.99 tff(7941,plain,
% 19.34/12.99 (v84(constB71, bitIndex0)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7940, 7932])).
% 19.34/12.99 tff(7942,plain,
% 19.34/12.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7943,plain,
% 19.34/12.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7944,plain,
% 19.34/12.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7943, 7942])).
% 19.34/12.99 tff(7945,plain,
% 19.34/12.99 (v118(constB71)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7944, 1672, 7941, 7910, 7876])).
% 19.34/12.99 tff(7946,plain,
% 19.34/12.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB71) | (~v118(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB71) | (~v118(constB71)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7947,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB71) | (~v118(constB71)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7948,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB71) | (~v118(constB71))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 19.34/12.99 tff(7949,plain,
% 19.34/12.99 (v108(constB71)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7948, 1683, 7945])).
% 19.34/12.99 tff(7950,plain,
% 19.34/12.99 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB71) | (~v108(constB71)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB71) | (~v108(constB71)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7951,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB71) | (~v108(constB71)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7952,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB71) | (~v108(constB71))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7951, 7950])).
% 19.34/12.99 tff(7953,plain,
% 19.34/12.99 (v107(constB71)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7952, 250, 7949])).
% 19.34/12.99 tff(7954,assumption,(v26(constB71)), introduced(assumption)).
% 19.34/12.99 tff(7955,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7956,plain,
% 19.34/12.99 ($false),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7955, 18, 7954])).
% 19.34/12.99 tff(7957,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 19.34/12.99 tff(7958,plain,
% 19.34/12.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7959,plain,
% 19.34/12.99 ((v26(constB71) | (~v107(constB71)) | v106(constB71)) <=> (v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7960,plain,
% 19.34/12.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71))))),
% 19.34/12.99 inference(monotonicity,[status(thm)],[7959])).
% 19.34/12.99 tff(7961,plain,
% 19.34/12.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 19.34/12.99 inference(transitivity,[status(thm)],[7960, 7958])).
% 19.34/12.99 tff(7962,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7963,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7962, 7961])).
% 19.34/12.99 tff(7964,plain,
% 19.34/12.99 (v106(constB71) | (~v107(constB71))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7963, 264, 7957])).
% 19.34/12.99 tff(7965,plain,
% 19.34/12.99 (v106(constB71)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7964, 7953])).
% 19.34/12.99 tff(7966,plain,
% 19.34/12.99 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB71) | (~v106(constB71)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB71) | (~v106(constB71)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7967,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB71) | (~v106(constB71)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7968,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB71) | (~v106(constB71))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7967, 7966])).
% 19.34/12.99 tff(7969,plain,
% 19.34/12.99 (v102(constB71)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7968, 276, 7965])).
% 19.34/12.99 tff(7970,plain,
% 19.34/12.99 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7971,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 19.34/12.99 tff(7972,plain,
% 19.34/12.99 (nextState(constB71, constB72)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7971, 7970])).
% 19.34/12.99 tff(7973,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7974,plain,
% 19.34/12.99 (((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7975,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))))),
% 19.34/12.99 inference(monotonicity,[status(thm)],[7974])).
% 19.34/12.99 tff(7976,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 19.34/12.99 inference(transitivity,[status(thm)],[7975, 7973])).
% 19.34/12.99 tff(7977,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7978,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7977, 7976])).
% 19.34/12.99 tff(7979,plain,
% 19.34/12.99 (v104(constB72) | (~v102(constB71))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7978, 293, 7972])).
% 19.34/12.99 tff(7980,plain,
% 19.34/12.99 (v104(constB72)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7979, 7969])).
% 19.34/12.99 tff(7981,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7982,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7983,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 19.34/12.99 tff(7984,plain,
% 19.34/12.99 (~v98(constB72)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7983, 311, 7972, 7852])).
% 19.34/12.99 tff(7985,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7986,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7987,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 19.34/12.99 tff(7988,plain,
% 19.34/12.99 (v96(constB72) | v98(constB72)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7987, 325, 7972])).
% 19.34/12.99 tff(7989,plain,
% 19.34/12.99 (v96(constB72)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7988, 7984])).
% 19.34/12.99 tff(7990,plain,
% 19.34/12.99 (v1(constB72) <=> v1(constB72)),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7991,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 19.34/12.99 tff(7992,plain,
% 19.34/12.99 (v1(constB72)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7991, 7990])).
% 19.34/12.99 tff(7993,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7994,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(7995,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 19.34/12.99 tff(7996,plain,
% 19.34/12.99 (v95(constB72) | (~v96(constB72))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7995, 343, 7972, 7992])).
% 19.34/12.99 tff(7997,plain,
% 19.34/12.99 (v95(constB72)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[7996, 7989])).
% 19.34/12.99 tff(7998,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(7999,plain,
% 19.34/12.99 (((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72)) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8000,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72))))),
% 19.34/12.99 inference(monotonicity,[status(thm)],[7999])).
% 19.34/12.99 tff(8001,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 19.34/12.99 inference(transitivity,[status(thm)],[8000, 7998])).
% 19.34/12.99 tff(8002,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(8003,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 19.34/12.99 tff(8004,plain,
% 19.34/12.99 (v94(constB72) | (~v95(constB72)) | (~v104(constB72))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8003, 358, 7972])).
% 19.34/12.99 tff(8005,plain,
% 19.34/12.99 (v94(constB72) | (~v104(constB72))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8004, 7997])).
% 19.34/12.99 tff(8006,plain,
% 19.34/12.99 (v94(constB72)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8005, 7980])).
% 19.34/12.99 tff(8007,plain,
% 19.34/12.99 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB71)) | v124(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB71)) | v124(constB71, bitIndex2))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8008,plain,
% 19.34/12.99 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB71)) | v124(constB71, bitIndex2))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(8009,plain,
% 19.34/12.99 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB71)) | v124(constB71, bitIndex2)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 19.34/12.99 tff(8010,plain,
% 19.34/12.99 (v124(constB71, bitIndex2)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8009, 1750, 7945])).
% 19.34/12.99 tff(8011,plain,
% 19.34/12.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8012,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(8013,plain,
% 19.34/12.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 19.34/12.99 tff(8014,plain,
% 19.34/12.99 ((~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8013, 1273, 7957])).
% 19.34/12.99 tff(8015,plain,
% 19.34/12.99 (v121(constB71, bitIndex2)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8014, 8010])).
% 19.34/12.99 tff(8016,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8017,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(8018,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 19.34/12.99 tff(8019,plain,
% 19.34/12.99 ((~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8018, 1288, 7972])).
% 19.34/12.99 tff(8020,plain,
% 19.34/12.99 (v123(constB72, bitIndex2)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8019, 8015])).
% 19.34/12.99 tff(8021,plain,
% 19.34/12.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8022,plain,
% 19.34/12.99 ((v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2))) <=> (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8023,plain,
% 19.34/12.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72))))),
% 19.34/12.99 inference(monotonicity,[status(thm)],[8022])).
% 19.34/12.99 tff(8024,plain,
% 19.34/12.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 19.34/12.99 inference(transitivity,[status(thm)],[8023, 8021])).
% 19.34/12.99 tff(8025,plain,
% 19.34/12.99 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(8026,plain,
% 19.34/12.99 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 19.34/12.99 tff(8027,plain,
% 19.34/12.99 (v84(constB72, bitIndex2) | (~v94(constB72))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8026, 1303, 8020])).
% 19.34/12.99 tff(8028,plain,
% 19.34/12.99 (v84(constB72, bitIndex2)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8027, 8006])).
% 19.34/12.99 tff(8029,plain,
% 19.34/12.99 ((~v1(constB73)) <=> (~v1(constB73))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8030,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 19.34/12.99 tff(8031,plain,
% 19.34/12.99 (~v1(constB73)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8030, 8029])).
% 19.34/12.99 tff(8032,plain,
% 19.34/12.99 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8033,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 19.34/12.99 tff(8034,plain,
% 19.34/12.99 (nextState(constB72, constB73)),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 19.34/12.99 tff(8035,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8036,plain,
% 19.34/12.99 (((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8037,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))))),
% 19.34/12.99 inference(monotonicity,[status(thm)],[8036])).
% 19.34/12.99 tff(8038,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 19.34/12.99 inference(transitivity,[status(thm)],[8037, 8035])).
% 19.34/12.99 tff(8039,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(8040,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 19.34/12.99 tff(8041,plain,
% 19.34/12.99 (~v95(constB73)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8040, 89, 8034, 8031])).
% 19.34/12.99 tff(8042,plain,
% 19.34/12.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 19.34/12.99 inference(rewrite,[status(thm)],[])).
% 19.34/12.99 tff(8043,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 19.34/12.99 inference(quant_inst,[status(thm)],[])).
% 19.34/12.99 tff(8044,plain,
% 19.34/12.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73))),
% 19.34/12.99 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 19.34/12.99 tff(8045,plain,
% 19.34/12.99 (v95(constB73) | (~v94(constB73))),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8044, 106, 8034])).
% 19.34/12.99 tff(8046,plain,
% 19.34/12.99 (~v94(constB73)),
% 19.34/12.99 inference(unit_resolution,[status(thm)],[8045, 8041])).
% 19.34/12.99 tff(8047,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8048,plain,
% 19.34/13.00 (((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2)) <=> ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8049,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2)))),
% 19.34/13.00 inference(monotonicity,[status(thm)],[8048])).
% 19.34/13.00 tff(8050,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 19.34/13.00 inference(transitivity,[status(thm)],[8049, 8047])).
% 19.34/13.00 tff(8051,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8052,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2)),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8051, 8050])).
% 19.34/13.00 tff(8053,plain,
% 19.34/13.00 ((~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8052, 1339, 8034])).
% 19.34/13.00 tff(8054,plain,
% 19.34/13.00 ((~v84(constB72, bitIndex2)) | v84(constB73, bitIndex2)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8053, 8046])).
% 19.34/13.00 tff(8055,plain,
% 19.34/13.00 (v84(constB73, bitIndex2)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8054, 8028])).
% 19.34/13.00 tff(8056,plain,
% 19.34/13.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v116(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB73, bitIndex2)) | (~v116(constB73)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8057,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v116(constB73)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8058,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB73, bitIndex2)) | (~v116(constB73))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8057, 8056])).
% 19.34/13.00 tff(8059,plain,
% 19.34/13.00 (~v116(constB73)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8058, 1976, 8055])).
% 19.34/13.00 tff(8060,plain,
% 19.34/13.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v115(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB73, bitIndex2)) | (~v115(constB73)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8061,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v115(constB73)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8062,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB73, bitIndex2)) | (~v115(constB73))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 19.34/13.00 tff(8063,plain,
% 19.34/13.00 (~v115(constB73)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8062, 1965, 8055])).
% 19.34/13.00 tff(8064,plain,
% 19.34/13.00 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB71)) | v124(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB71)) | v124(constB71, bitIndex1))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8065,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB71)) | v124(constB71, bitIndex1))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8066,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB71)) | v124(constB71, bitIndex1)),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8065, 8064])).
% 19.34/13.00 tff(8067,plain,
% 19.34/13.00 (v124(constB71, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8066, 1809, 7945])).
% 19.34/13.00 tff(8068,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB71) | (~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB71) | (~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8069,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB71) | (~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8070,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB71) | (~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1)),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 19.34/13.00 tff(8071,plain,
% 19.34/13.00 ((~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8070, 804, 7957])).
% 19.34/13.00 tff(8072,plain,
% 19.34/13.00 (v121(constB71, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8071, 8067])).
% 19.34/13.00 tff(8073,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8074,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8075,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1)),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 19.34/13.00 tff(8076,plain,
% 19.34/13.00 ((~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8075, 819, 7972])).
% 19.34/13.00 tff(8077,plain,
% 19.34/13.00 (v123(constB72, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8076, 8072])).
% 19.34/13.00 tff(8078,plain,
% 19.34/13.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8079,plain,
% 19.34/13.00 ((v84(constB72, bitIndex1) | (~v94(constB72)) | (~v123(constB72, bitIndex1))) <=> (v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8080,plain,
% 19.34/13.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v94(constB72)) | (~v123(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72))))),
% 19.34/13.00 inference(monotonicity,[status(thm)],[8079])).
% 19.34/13.00 tff(8081,plain,
% 19.34/13.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v94(constB72)) | (~v123(constB72, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72)))),
% 19.34/13.00 inference(transitivity,[status(thm)],[8080, 8078])).
% 19.34/13.00 tff(8082,plain,
% 19.34/13.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v94(constB72)) | (~v123(constB72, bitIndex1)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8083,plain,
% 19.34/13.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 19.34/13.00 tff(8084,plain,
% 19.34/13.00 (v84(constB72, bitIndex1) | (~v94(constB72))),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8083, 834, 8077])).
% 19.34/13.00 tff(8085,plain,
% 19.34/13.00 (v84(constB72, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8084, 8006])).
% 19.34/13.00 tff(8086,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8087,plain,
% 19.34/13.00 (((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1)) <=> ((~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8088,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1)))),
% 19.34/13.00 inference(monotonicity,[status(thm)],[8087])).
% 19.34/13.00 tff(8089,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1))),
% 19.34/13.00 inference(transitivity,[status(thm)],[8088, 8086])).
% 19.34/13.00 tff(8090,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8091,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1)),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 19.34/13.00 tff(8092,plain,
% 19.34/13.00 ((~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8091, 852, 8034])).
% 19.34/13.00 tff(8093,plain,
% 19.34/13.00 ((~v84(constB72, bitIndex1)) | v84(constB73, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8092, 8046])).
% 19.34/13.00 tff(8094,plain,
% 19.34/13.00 (v84(constB73, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8093, 8085])).
% 19.34/13.00 tff(8095,plain,
% 19.34/13.00 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB73)) | (~v84(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB73)) | (~v84(constB73, bitIndex1)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8096,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB73)) | (~v84(constB73, bitIndex1)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8097,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB73)) | (~v84(constB73, bitIndex1))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8096, 8095])).
% 19.34/13.00 tff(8098,plain,
% 19.34/13.00 (~v113(constB73)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8097, 1990, 8094])).
% 19.34/13.00 tff(8099,plain,
% 19.34/13.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB73, bitIndex1)) | (~v172(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB73, bitIndex1)) | (~v172(constB73)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8100,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB73, bitIndex1)) | (~v172(constB73)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8101,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB73, bitIndex1)) | (~v172(constB73))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8100, 8099])).
% 19.34/13.00 tff(8102,plain,
% 19.34/13.00 (~v172(constB73)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8101, 2023, 8094])).
% 19.34/13.00 tff(8103,plain,
% 19.34/13.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB73, bitIndex1)) | (~v118(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB73, bitIndex1)) | (~v118(constB73)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8104,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB73, bitIndex1)) | (~v118(constB73)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8105,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB73, bitIndex1)) | (~v118(constB73))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8104, 8103])).
% 19.34/13.00 tff(8106,plain,
% 19.34/13.00 (~v118(constB73)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8105, 2001, 8094])).
% 19.34/13.00 tff(8107,plain,
% 19.34/13.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB73, bitIndex1)) | (~v145(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB73, bitIndex1)) | (~v145(constB73)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8108,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB73, bitIndex1)) | (~v145(constB73)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8109,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB73, bitIndex1)) | (~v145(constB73))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8108, 8107])).
% 19.34/13.00 tff(8110,plain,
% 19.34/13.00 (~v145(constB73)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8109, 2012, 8094])).
% 19.34/13.00 tff(8111,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex1)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8112,plain,
% 19.34/13.00 ((v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex1))) <=> (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex1)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8113,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex1))))),
% 19.34/13.00 inference(monotonicity,[status(thm)],[8112])).
% 19.34/13.00 tff(8114,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex1)))),
% 19.34/13.00 inference(transitivity,[status(thm)],[8113, 8111])).
% 19.34/13.00 tff(8115,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex1)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8116,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex1))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8115, 8114])).
% 19.34/13.00 tff(8117,plain,
% 19.34/13.00 (~v124(constB73, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8116, 2102, 8110, 8106, 8102, 8098, 8063, 8059])).
% 19.34/13.00 tff(8118,assumption,(v26(constB73)), introduced(assumption)).
% 19.34/13.00 tff(8119,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8120,plain,
% 19.34/13.00 ($false),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8119, 18, 8118])).
% 19.34/13.00 tff(8121,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 19.34/13.00 tff(8122,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8123,plain,
% 19.34/13.00 ((v26(constB73) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1))) <=> ((~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8124,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB73) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1)))),
% 19.34/13.00 inference(monotonicity,[status(thm)],[8123])).
% 19.34/13.00 tff(8125,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB73) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1))),
% 19.34/13.00 inference(transitivity,[status(thm)],[8124, 8122])).
% 19.34/13.00 tff(8126,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB73) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8127,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1)),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8126, 8125])).
% 19.34/13.00 tff(8128,plain,
% 19.34/13.00 ((~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8127, 483, 8121])).
% 19.34/13.00 tff(8129,plain,
% 19.34/13.00 (~v121(constB73, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8128, 8117])).
% 19.34/13.00 tff(8130,plain,
% 19.34/13.00 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8131,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 19.34/13.00 tff(8132,plain,
% 19.34/13.00 (nextState(constB73, constB74)),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8131, 8130])).
% 19.34/13.00 tff(8133,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8134,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8135,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8134, 8133])).
% 19.34/13.00 tff(8136,plain,
% 19.34/13.00 (v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1))),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8135, 501, 8132])).
% 19.34/13.00 tff(8137,plain,
% 19.34/13.00 (~v123(constB74, bitIndex1)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8136, 8129])).
% 19.34/13.00 tff(8138,plain,
% 19.34/13.00 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB71)) | (~v124(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB71)) | (~v124(constB71, bitIndex0)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8139,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB71)) | (~v124(constB71, bitIndex0)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8140,plain,
% 19.34/13.00 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB71)) | (~v124(constB71, bitIndex0))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 19.34/13.00 tff(8141,plain,
% 19.34/13.00 (~v124(constB71, bitIndex0)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8140, 1850, 7945])).
% 19.34/13.00 tff(8142,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8143,plain,
% 19.34/13.00 ((v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0))) <=> ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8144,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0)))),
% 19.34/13.00 inference(monotonicity,[status(thm)],[8143])).
% 19.34/13.00 tff(8145,plain,
% 19.34/13.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 19.34/13.00 inference(transitivity,[status(thm)],[8144, 8142])).
% 19.34/13.00 tff(8146,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8147,plain,
% 19.34/13.00 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0)),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 19.34/13.00 tff(8148,plain,
% 19.34/13.00 ((~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8147, 885, 7957])).
% 19.34/13.00 tff(8149,plain,
% 19.34/13.00 (~v121(constB71, bitIndex0)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8148, 8141])).
% 19.34/13.00 tff(8150,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8151,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8152,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8151, 8150])).
% 19.34/13.00 tff(8153,plain,
% 19.34/13.00 (v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0))),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8152, 903, 7972])).
% 19.34/13.00 tff(8154,plain,
% 19.34/13.00 (~v123(constB72, bitIndex0)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8153, 8149])).
% 19.34/13.00 tff(8155,plain,
% 19.34/13.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8156,plain,
% 19.34/13.00 (((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0)) <=> ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8157,plain,
% 19.34/13.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72))))),
% 19.34/13.00 inference(monotonicity,[status(thm)],[8156])).
% 19.34/13.00 tff(8158,plain,
% 19.34/13.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 19.34/13.00 inference(transitivity,[status(thm)],[8157, 8155])).
% 19.34/13.00 tff(8159,plain,
% 19.34/13.00 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8160,plain,
% 19.34/13.00 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72))),
% 19.34/13.00 inference(modus_ponens,[status(thm)],[8159, 8158])).
% 19.34/13.00 tff(8161,plain,
% 19.34/13.00 ((~v84(constB72, bitIndex0)) | (~v94(constB72))),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8160, 918, 8154])).
% 19.34/13.00 tff(8162,plain,
% 19.34/13.00 (~v84(constB72, bitIndex0)),
% 19.34/13.00 inference(unit_resolution,[status(thm)],[8161, 8006])).
% 19.34/13.00 tff(8163,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8164,plain,
% 19.34/13.00 (((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0))) <=> (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 19.34/13.00 inference(rewrite,[status(thm)],[])).
% 19.34/13.00 tff(8165,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0))))),
% 19.34/13.00 inference(monotonicity,[status(thm)],[8164])).
% 19.34/13.00 tff(8166,plain,
% 19.34/13.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 19.34/13.00 inference(transitivity,[status(thm)],[8165, 8163])).
% 19.34/13.00 tff(8167,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 19.34/13.00 inference(quant_inst,[status(thm)],[])).
% 19.34/13.00 tff(8168,plain,
% 19.34/13.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 19.34/13.01 tff(8169,plain,
% 19.34/13.01 (v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0))),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8168, 163, 8034])).
% 19.34/13.01 tff(8170,plain,
% 19.34/13.01 (v84(constB72, bitIndex0) | (~v84(constB73, bitIndex0))),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8169, 8046])).
% 19.34/13.01 tff(8171,plain,
% 19.34/13.01 (~v84(constB73, bitIndex0)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8170, 8162])).
% 19.34/13.01 tff(8172,assumption,(~v84(constB73, bitIndex0)), introduced(assumption)).
% 19.34/13.01 tff(8173,assumption,(~v84(constB74, bitIndex0)), introduced(assumption)).
% 19.34/13.01 tff(8174,assumption,(v113(constB73)), introduced(assumption)).
% 19.34/13.01 tff(8175,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB73) | (~v113(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8176,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB73) | (~v113(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8177,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB73) | (~v113(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8176, 8175])).
% 19.34/13.01 tff(8178,plain,
% 19.34/13.01 (v112(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8177, 195, 8174])).
% 19.34/13.01 tff(8179,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB73) | (~v112(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8180,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB73) | (~v112(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8181,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB73) | (~v112(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8180, 8179])).
% 19.34/13.01 tff(8182,plain,
% 19.34/13.01 (v111(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8181, 206, 8178])).
% 19.34/13.01 tff(8183,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB73) | (~v111(constB73)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB73) | (~v111(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8184,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB73) | (~v111(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8185,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB73) | (~v111(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 19.34/13.01 tff(8186,plain,
% 19.34/13.01 (v110(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8185, 217, 8182])).
% 19.34/13.01 tff(8187,plain,
% 19.34/13.01 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB73)) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB73)) | v124(constB73, bitIndex0))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8188,plain,
% 19.34/13.01 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB73)) | v124(constB73, bitIndex0))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8189,plain,
% 19.34/13.01 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB73)) | v124(constB73, bitIndex0)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 19.34/13.01 tff(8190,plain,
% 19.34/13.01 (v124(constB73, bitIndex0)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8189, 543, 8174])).
% 19.34/13.01 tff(8191,assumption,(~v26(constB73)), introduced(assumption)).
% 19.34/13.01 tff(8192,assumption,(v107(constB73)), introduced(assumption)).
% 19.34/13.01 tff(8193,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8194,plain,
% 19.34/13.01 ((v26(constB73) | (~v107(constB73)) | v106(constB73)) <=> (v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8195,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73))))),
% 19.34/13.01 inference(monotonicity,[status(thm)],[8194])).
% 19.34/13.01 tff(8196,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 19.34/13.01 inference(transitivity,[status(thm)],[8195, 8193])).
% 19.34/13.01 tff(8197,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8198,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 19.34/13.01 tff(8199,plain,
% 19.34/13.01 (v26(constB73) | v106(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8198, 264, 8192])).
% 19.34/13.01 tff(8200,plain,
% 19.34/13.01 (v106(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8199, 8191])).
% 19.34/13.01 tff(8201,assumption,(v124(constB73, bitIndex0)), introduced(assumption)).
% 19.34/13.01 tff(8202,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8203,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8204,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 19.34/13.01 tff(8205,plain,
% 19.34/13.01 (v26(constB73) | v121(constB73, bitIndex0)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8204, 557, 8201])).
% 19.34/13.01 tff(8206,plain,
% 19.34/13.01 (v121(constB73, bitIndex0)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8205, 8191])).
% 19.34/13.01 tff(8207,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8208,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8209,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 19.34/13.01 tff(8210,plain,
% 19.34/13.01 ((~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8209, 572, 8132])).
% 19.34/13.01 tff(8211,plain,
% 19.34/13.01 (v123(constB74, bitIndex0)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8210, 8206])).
% 19.34/13.01 tff(8212,plain,
% 19.34/13.01 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8213,plain,
% 19.34/13.01 ((v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0))) <=> (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8214,plain,
% 19.34/13.01 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74))))),
% 19.34/13.01 inference(monotonicity,[status(thm)],[8213])).
% 19.34/13.01 tff(8215,plain,
% 19.34/13.01 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 19.34/13.01 inference(transitivity,[status(thm)],[8214, 8212])).
% 19.34/13.01 tff(8216,plain,
% 19.34/13.01 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8217,plain,
% 19.34/13.01 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8216, 8215])).
% 19.34/13.01 tff(8218,plain,
% 19.34/13.01 ((~v123(constB74, bitIndex0)) | (~v94(constB74))),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8217, 587, 8173])).
% 19.34/13.01 tff(8219,plain,
% 19.34/13.01 (~v94(constB74)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8218, 8211])).
% 19.34/13.01 tff(8220,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8221,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8222,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8221, 8220])).
% 19.34/13.01 tff(8223,plain,
% 19.34/13.01 (~v98(constB74)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8222, 311, 8132, 8031])).
% 19.34/13.01 tff(8224,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8225,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8226,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8225, 8224])).
% 19.34/13.01 tff(8227,plain,
% 19.34/13.01 (v96(constB74) | v98(constB74)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8226, 325, 8132])).
% 19.34/13.01 tff(8228,plain,
% 19.34/13.01 (v96(constB74)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8227, 8223])).
% 19.34/13.01 tff(8229,plain,
% 19.34/13.01 (v1(constB74) <=> v1(constB74)),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8230,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 19.34/13.01 tff(8231,plain,
% 19.34/13.01 (v1(constB74)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 19.34/13.01 tff(8232,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8233,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8234,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8233, 8232])).
% 19.34/13.01 tff(8235,plain,
% 19.34/13.01 (v95(constB74) | (~v96(constB74))),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8234, 343, 8132, 8231])).
% 19.34/13.01 tff(8236,plain,
% 19.34/13.01 (v95(constB74)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8235, 8228])).
% 19.34/13.01 tff(8237,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8238,plain,
% 19.34/13.01 (((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74)) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8239,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74))))),
% 19.34/13.01 inference(monotonicity,[status(thm)],[8238])).
% 19.34/13.01 tff(8240,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 19.34/13.01 inference(transitivity,[status(thm)],[8239, 8237])).
% 19.34/13.01 tff(8241,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8242,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8241, 8240])).
% 19.34/13.01 tff(8243,plain,
% 19.34/13.01 (v94(constB74) | (~v95(constB74)) | (~v104(constB74))),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8242, 358, 8132])).
% 19.34/13.01 tff(8244,plain,
% 19.34/13.01 (v94(constB74) | (~v104(constB74))),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8243, 8236])).
% 19.34/13.01 tff(8245,plain,
% 19.34/13.01 (~v104(constB74)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8244, 8219])).
% 19.34/13.01 tff(8246,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8247,plain,
% 19.34/13.01 (((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8248,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))))),
% 19.34/13.01 inference(monotonicity,[status(thm)],[8247])).
% 19.34/13.01 tff(8249,plain,
% 19.34/13.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 19.34/13.01 inference(transitivity,[status(thm)],[8248, 8246])).
% 19.34/13.01 tff(8250,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8251,plain,
% 19.34/13.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8250, 8249])).
% 19.34/13.01 tff(8252,plain,
% 19.34/13.01 (v104(constB74) | (~v102(constB73))),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8251, 293, 8132])).
% 19.34/13.01 tff(8253,plain,
% 19.34/13.01 (~v102(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8252, 8245])).
% 19.34/13.01 tff(8254,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB73) | (~v106(constB73)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB73) | (~v106(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8255,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB73) | (~v106(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8256,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB73) | (~v106(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 19.34/13.01 tff(8257,plain,
% 19.34/13.01 ($false),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8256, 276, 8253, 8200])).
% 19.34/13.01 tff(8258,plain,(v26(constB73) | v84(constB74, bitIndex0) | (~v107(constB73)) | (~v124(constB73, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 19.34/13.01 tff(8259,plain,
% 19.34/13.01 (~v107(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8258, 8190, 8121, 8173])).
% 19.34/13.01 tff(8260,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB73) | (~v108(constB73)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB73) | (~v108(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8261,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB73) | (~v108(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8262,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB73) | (~v108(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8261, 8260])).
% 19.34/13.01 tff(8263,plain,
% 19.34/13.01 (~v108(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8262, 250, 8259])).
% 19.34/13.01 tff(8264,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB73) | (~v109(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB73) | (~v109(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8265,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB73) | (~v109(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8266,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB73) | (~v109(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8265, 8264])).
% 19.34/13.01 tff(8267,plain,
% 19.34/13.01 (~v109(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8266, 239, 8263])).
% 19.34/13.01 tff(8268,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB73) | (~v110(constB73)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB73) | (~v110(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8269,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB73) | (~v110(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8270,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB73) | (~v110(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8269, 8268])).
% 19.34/13.01 tff(8271,plain,
% 19.34/13.01 ($false),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8270, 228, 8267, 8186])).
% 19.34/13.01 tff(8272,plain,((~v113(constB73)) | v84(constB74, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.34/13.01 tff(8273,plain,
% 19.34/13.01 (~v113(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8272, 8173])).
% 19.34/13.01 tff(8274,assumption,(v172(constB73)), introduced(assumption)).
% 19.34/13.01 tff(8275,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB73) | (~v172(constB73)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB73) | (~v172(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8276,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB73) | (~v172(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8277,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB73) | (~v172(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8276, 8275])).
% 19.34/13.01 tff(8278,plain,
% 19.34/13.01 (v109(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8277, 1457, 8274])).
% 19.34/13.01 tff(8279,plain,
% 19.34/13.01 (v108(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8266, 239, 8278])).
% 19.34/13.01 tff(8280,plain,
% 19.34/13.01 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB73)) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB73)) | v124(constB73, bitIndex0))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8281,plain,
% 19.34/13.01 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB73)) | v124(constB73, bitIndex0))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8282,plain,
% 19.34/13.01 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB73)) | v124(constB73, bitIndex0)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8281, 8280])).
% 19.34/13.01 tff(8283,plain,
% 19.34/13.01 (v124(constB73, bitIndex0)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8282, 1631, 8274])).
% 19.34/13.01 tff(8284,plain,
% 19.34/13.01 (~v107(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8258, 8283, 8121, 8173])).
% 19.34/13.01 tff(8285,plain,
% 19.34/13.01 ($false),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8262, 250, 8284, 8279])).
% 19.34/13.01 tff(8286,plain,((~v172(constB73)) | v84(constB74, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.34/13.01 tff(8287,plain,
% 19.34/13.01 (~v172(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8286, 8173])).
% 19.34/13.01 tff(8288,assumption,(~v84(constB73, bitIndex1)), introduced(assumption)).
% 19.34/13.01 tff(8289,assumption,(~v113(constB73)), introduced(assumption)).
% 19.34/13.01 tff(8290,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB73) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB73) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8291,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB73) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8292,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB73) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8291, 8290])).
% 19.34/13.01 tff(8293,plain,
% 19.34/13.01 (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8292, 184, 8289])).
% 19.34/13.01 tff(8294,plain,
% 19.34/13.01 (v84(constB73, bitIndex2)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8293, 8288, 8172])).
% 19.34/13.01 tff(8295,assumption,(~v172(constB73)), introduced(assumption)).
% 19.34/13.01 tff(8296,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8297,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8298,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8297, 8296])).
% 19.34/13.01 tff(8299,plain,
% 19.34/13.01 (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2))),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8298, 1446, 8295])).
% 19.34/13.01 tff(8300,plain,
% 19.34/13.01 ($false),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8299, 8294, 8288, 8172])).
% 19.34/13.01 tff(8301,plain,(v84(constB73, bitIndex1) | v84(constB73, bitIndex0) | v172(constB73) | v113(constB73)), inference(lemma,lemma(discharge,[]))).
% 19.34/13.01 tff(8302,plain,
% 19.34/13.01 (v84(constB73, bitIndex1)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8301, 8172, 8287, 8273])).
% 19.34/13.01 tff(8303,assumption,(v115(constB73)), introduced(assumption)).
% 19.34/13.01 tff(8304,plain,
% 19.34/13.01 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB73)) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB73)) | v124(constB73, bitIndex0))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8305,plain,
% 19.34/13.01 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB73)) | v124(constB73, bitIndex0))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8306,plain,
% 19.34/13.01 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB73)) | v124(constB73, bitIndex0)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8305, 8304])).
% 19.34/13.01 tff(8307,plain,
% 19.34/13.01 (v124(constB73, bitIndex0)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8306, 1135, 8303])).
% 19.34/13.01 tff(8308,plain,
% 19.34/13.01 (~v107(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8258, 8307, 8121, 8173])).
% 19.34/13.01 tff(8309,plain,
% 19.34/13.01 (~v108(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8262, 250, 8308])).
% 19.34/13.01 tff(8310,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB73) | (~v115(constB73)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB73) | (~v115(constB73)))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8311,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB73) | (~v115(constB73)))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8312,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB73) | (~v115(constB73))),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 19.34/13.01 tff(8313,plain,
% 19.34/13.01 (v111(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8312, 956, 8303])).
% 19.34/13.01 tff(8314,plain,
% 19.34/13.01 (v110(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8185, 217, 8313])).
% 19.34/13.01 tff(8315,plain,
% 19.34/13.01 (v109(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8270, 228, 8314])).
% 19.34/13.01 tff(8316,plain,
% 19.34/13.01 ($false),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8266, 239, 8315, 8309])).
% 19.34/13.01 tff(8317,plain,((~v115(constB73)) | v84(constB74, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.34/13.01 tff(8318,plain,
% 19.34/13.01 (~v115(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8317, 8173])).
% 19.34/13.01 tff(8319,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v115(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v115(constB73))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8320,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v115(constB73))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8321,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v115(constB73)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 19.34/13.01 tff(8322,plain,
% 19.34/13.01 (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8321, 945, 8318])).
% 19.34/13.01 tff(8323,plain,
% 19.34/13.01 (v84(constB73, bitIndex2)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8322, 8302, 8172])).
% 19.34/13.01 tff(8324,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))),
% 19.34/13.01 inference(rewrite,[status(thm)],[])).
% 19.34/13.01 tff(8325,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))),
% 19.34/13.01 inference(quant_inst,[status(thm)],[])).
% 19.34/13.01 tff(8326,plain,
% 19.34/13.01 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73)),
% 19.34/13.01 inference(modus_ponens,[status(thm)],[8325, 8324])).
% 19.34/13.01 tff(8327,plain,
% 19.34/13.01 (v119(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8326, 1894, 8172, 8302, 8323])).
% 19.34/13.01 tff(8328,plain,
% 19.34/13.01 (~v145(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8109, 2012, 8302])).
% 19.34/13.01 tff(8329,plain,
% 19.34/13.01 (~v116(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8058, 1976, 8323])).
% 19.34/13.01 tff(8330,plain,
% 19.34/13.01 (~v118(constB73)),
% 19.34/13.01 inference(unit_resolution,[status(thm)],[8105, 2001, 8302])).
% 19.34/13.01 tff(8331,plain,
% 19.34/13.01 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | v124(constB73, bitIndex0))),
% 19.34/13.02 inference(rewrite,[status(thm)],[])).
% 19.34/13.02 tff(8332,plain,
% 19.34/13.02 ((v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0)) <=> (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | v124(constB73, bitIndex0))),
% 19.34/13.02 inference(rewrite,[status(thm)],[])).
% 19.34/13.02 tff(8333,plain,
% 19.34/13.02 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | v124(constB73, bitIndex0)))),
% 19.34/13.02 inference(monotonicity,[status(thm)],[8332])).
% 19.34/13.02 tff(8334,plain,
% 19.34/13.02 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | v124(constB73, bitIndex0))),
% 19.34/13.02 inference(transitivity,[status(thm)],[8333, 8331])).
% 19.34/13.02 tff(8335,plain,
% 19.34/13.02 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))),
% 19.34/13.02 inference(quant_inst,[status(thm)],[])).
% 19.34/13.02 tff(8336,plain,
% 19.34/13.02 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | v124(constB73, bitIndex0)),
% 19.34/13.02 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 19.34/13.02 tff(8337,plain,
% 19.34/13.02 (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v124(constB73, bitIndex0)),
% 19.34/13.02 inference(unit_resolution,[status(thm)],[8336, 2149, 8273])).
% 19.34/13.02 tff(8338,plain,
% 19.34/13.02 (v124(constB73, bitIndex0)),
% 19.34/13.02 inference(unit_resolution,[status(thm)],[8337, 8330, 8287, 8318, 8329, 8328])).
% 19.34/13.02 tff(8339,plain,
% 19.34/13.02 (~v107(constB73)),
% 19.34/13.02 inference(unit_resolution,[status(thm)],[8258, 8338, 8121, 8173])).
% 19.34/13.02 tff(8340,plain,
% 19.34/13.02 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB73) | (~v119(constB73)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB73) | (~v119(constB73)))),
% 19.34/13.02 inference(rewrite,[status(thm)],[])).
% 19.34/13.02 tff(8341,plain,
% 19.34/13.02 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB73) | (~v119(constB73)))),
% 19.34/13.02 inference(quant_inst,[status(thm)],[])).
% 19.34/13.02 tff(8342,plain,
% 19.34/13.02 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB73) | (~v119(constB73))),
% 19.34/13.02 inference(modus_ponens,[status(thm)],[8341, 8340])).
% 19.34/13.02 tff(8343,plain,
% 19.34/13.02 ($false),
% 19.34/13.02 inference(unit_resolution,[status(thm)],[8342, 1905, 8339, 8327])).
% 19.34/13.02 tff(8344,plain,(v84(constB73, bitIndex0) | v84(constB74, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.34/13.02 tff(8345,plain,
% 19.34/13.02 (v84(constB74, bitIndex0)),
% 19.34/13.02 inference(unit_resolution,[status(thm)],[8344, 8171])).
% 19.34/13.02 tff(8346,plain,
% 19.34/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB73, bitIndex0) | (~nextState(constB73, constB74)) | v94(constB74) | (~v84(constB74, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB73, bitIndex0) | (~nextState(constB73, constB74)) | v94(constB74) | (~v84(constB74, bitIndex0)))),
% 19.34/13.02 inference(rewrite,[status(thm)],[])).
% 19.34/13.02 tff(8347,plain,
% 19.34/13.02 (((~nextState(constB73, constB74)) | v84(constB73, bitIndex0) | v94(constB74) | (~v84(constB74, bitIndex0))) <=> (v84(constB73, bitIndex0) | (~nextState(constB73, constB74)) | v94(constB74) | (~v84(constB74, bitIndex0)))),
% 19.34/13.02 inference(rewrite,[status(thm)],[])).
% 19.34/13.02 tff(8348,plain,
% 19.34/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v84(constB73, bitIndex0) | v94(constB74) | (~v84(constB74, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB73, bitIndex0) | (~nextState(constB73, constB74)) | v94(constB74) | (~v84(constB74, bitIndex0))))),
% 19.34/13.02 inference(monotonicity,[status(thm)],[8347])).
% 19.34/13.02 tff(8349,plain,
% 19.34/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v84(constB73, bitIndex0) | v94(constB74) | (~v84(constB74, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB73, bitIndex0) | (~nextState(constB73, constB74)) | v94(constB74) | (~v84(constB74, bitIndex0)))),
% 19.34/13.02 inference(transitivity,[status(thm)],[8348, 8346])).
% 19.34/13.02 tff(8350,plain,
% 19.34/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v84(constB73, bitIndex0) | v94(constB74) | (~v84(constB74, bitIndex0)))),
% 19.34/13.02 inference(quant_inst,[status(thm)],[])).
% 19.34/13.02 tff(8351,plain,
% 19.34/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB73, bitIndex0) | (~nextState(constB73, constB74)) | v94(constB74) | (~v84(constB74, bitIndex0))),
% 19.34/13.02 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 19.34/13.02 tff(8352,plain,
% 19.34/13.02 (v84(constB73, bitIndex0) | v94(constB74) | (~v84(constB74, bitIndex0))),
% 19.34/13.02 inference(unit_resolution,[status(thm)],[8351, 163, 8132])).
% 19.34/13.02 tff(8353,plain,
% 19.34/13.02 (v94(constB74)),
% 19.34/13.02 inference(unit_resolution,[status(thm)],[8352, 8171, 8345])).
% 19.34/13.02 tff(8354,plain,
% 19.34/13.02 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74)))),
% 19.34/13.02 inference(rewrite,[status(thm)],[])).
% 19.34/13.02 tff(8355,plain,
% 19.34/13.02 (((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1)) <=> ((~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74)))),
% 19.34/13.02 inference(rewrite,[status(thm)],[])).
% 19.34/13.02 tff(8356,plain,
% 19.34/13.02 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74))))),
% 19.34/13.02 inference(monotonicity,[status(thm)],[8355])).
% 19.44/13.02 tff(8357,plain,
% 19.44/13.02 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74)))),
% 19.44/13.02 inference(transitivity,[status(thm)],[8356, 8354])).
% 19.44/13.02 tff(8358,plain,
% 19.44/13.02 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8359,plain,
% 19.44/13.02 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 19.44/13.02 tff(8360,plain,
% 19.44/13.02 ((~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8359, 516, 8353])).
% 19.44/13.02 tff(8361,plain,
% 19.44/13.02 (~v84(constB74, bitIndex1)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8360, 8137])).
% 19.44/13.02 tff(8362,plain,
% 19.44/13.02 ((~v1(constB75)) <=> (~v1(constB75))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8363,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 19.44/13.02 tff(8364,plain,
% 19.44/13.02 (~v1(constB75)),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8363, 8362])).
% 19.44/13.02 tff(8365,plain,
% 19.44/13.02 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8366,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 19.44/13.02 tff(8367,plain,
% 19.44/13.02 (nextState(constB74, constB75)),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 19.44/13.02 tff(8368,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8369,plain,
% 19.44/13.02 (((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8370,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))))),
% 19.44/13.02 inference(monotonicity,[status(thm)],[8369])).
% 19.44/13.02 tff(8371,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 19.44/13.02 inference(transitivity,[status(thm)],[8370, 8368])).
% 19.44/13.02 tff(8372,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8373,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 19.44/13.02 tff(8374,plain,
% 19.44/13.02 (~v95(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8373, 89, 8367, 8364])).
% 19.44/13.02 tff(8375,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8376,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8377,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8376, 8375])).
% 19.44/13.02 tff(8378,plain,
% 19.44/13.02 (v95(constB75) | (~v94(constB75))),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8377, 106, 8367])).
% 19.44/13.02 tff(8379,plain,
% 19.44/13.02 (~v94(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8378, 8374])).
% 19.44/13.02 tff(8380,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8381,plain,
% 19.44/13.02 (((~nextState(constB74, constB75)) | v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1))) <=> (v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8382,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1))))),
% 19.44/13.02 inference(monotonicity,[status(thm)],[8381])).
% 19.44/13.02 tff(8383,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1)))),
% 19.44/13.02 inference(transitivity,[status(thm)],[8382, 8380])).
% 19.44/13.02 tff(8384,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8385,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 19.44/13.02 tff(8386,plain,
% 19.44/13.02 (v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1))),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8385, 142, 8367])).
% 19.44/13.02 tff(8387,plain,
% 19.44/13.02 (v84(constB74, bitIndex1) | (~v84(constB75, bitIndex1))),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8386, 8379])).
% 19.44/13.02 tff(8388,plain,
% 19.44/13.02 (~v84(constB75, bitIndex1)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8387, 8361])).
% 19.44/13.02 tff(8389,assumption,(~v102(constB75)), introduced(assumption)).
% 19.44/13.02 tff(8390,plain,
% 19.44/13.02 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8391,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 19.44/13.02 tff(8392,plain,
% 19.44/13.02 (nextState(constB75, constB76)),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8391, 8390])).
% 19.44/13.02 tff(8393,plain,
% 19.44/13.02 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))))),
% 19.44/13.02 inference(bind,[status(th)],[])).
% 19.44/13.02 tff(8394,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 19.44/13.02 inference(quant_intro,[status(thm)],[8393])).
% 19.44/13.02 tff(8395,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8396,plain,
% 19.44/13.02 (^[VarNext: $i, VarCurr: $i] : rewrite(((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))))),
% 19.44/13.02 inference(bind,[status(th)],[])).
% 19.44/13.02 tff(8397,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 19.44/13.02 inference(quant_intro,[status(thm)],[8396])).
% 19.44/13.02 tff(8398,axiom,(![VarNext: $i, VarCurr: $i] : ((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 19.44/13.02 tff(8399,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 19.44/13.02 tff(8400,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8399, 8395])).
% 19.44/13.02 tff(8401,plain,(
% 19.44/13.02 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 19.44/13.02 inference(skolemize,[status(sab)],[8400])).
% 19.44/13.02 tff(8402,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8401, 8394])).
% 19.44/13.02 tff(8403,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8404,plain,
% 19.44/13.02 (((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76))) <=> ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8405,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75)))),
% 19.44/13.02 inference(monotonicity,[status(thm)],[8404])).
% 19.44/13.02 tff(8406,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 19.44/13.02 inference(transitivity,[status(thm)],[8405, 8403])).
% 19.44/13.02 tff(8407,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8408,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75)),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8407, 8406])).
% 19.44/13.02 tff(8409,plain,
% 19.44/13.02 ((~v104(constB76)) | v102(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8408, 8402, 8392])).
% 19.44/13.02 tff(8410,plain,
% 19.44/13.02 (~v104(constB76)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8409, 8389])).
% 19.44/13.02 tff(8411,plain,
% 19.44/13.02 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))))),
% 19.44/13.02 inference(bind,[status(th)],[])).
% 19.44/13.02 tff(8412,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 19.44/13.02 inference(quant_intro,[status(thm)],[8411])).
% 19.44/13.02 tff(8413,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8414,plain,
% 19.44/13.02 (^[VarNext: $i, VarCurr: $i] : rewrite(((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))))),
% 19.44/13.02 inference(bind,[status(th)],[])).
% 19.44/13.02 tff(8415,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 19.44/13.02 inference(quant_intro,[status(thm)],[8414])).
% 19.44/13.02 tff(8416,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 19.44/13.02 tff(8417,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8416, 8415])).
% 19.44/13.02 tff(8418,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8417, 8413])).
% 19.44/13.02 tff(8419,plain,(
% 19.44/13.02 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 19.44/13.02 inference(skolemize,[status(sab)],[8418])).
% 19.44/13.02 tff(8420,plain,
% 19.44/13.02 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8419, 8412])).
% 19.44/13.02 tff(8421,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8422,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8423,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8422, 8421])).
% 19.44/13.02 tff(8424,plain,
% 19.44/13.02 (v104(constB76) | (~v94(constB76))),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8423, 8420, 8392])).
% 19.44/13.02 tff(8425,plain,
% 19.44/13.02 (~v94(constB76)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8424, 8410])).
% 19.44/13.02 tff(8426,assumption,(~v84(constB75, bitIndex1)), introduced(assumption)).
% 19.44/13.02 tff(8427,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB75) | (~v26(constB75)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB75) | (~v26(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8428,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB75) | (~v26(constB75)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8429,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB75) | (~v26(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8428, 8427])).
% 19.44/13.02 tff(8430,plain,
% 19.44/13.02 (~v26(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8429, 670, 8389])).
% 19.44/13.02 tff(8431,assumption,(~v84(constB76, bitIndex0)), introduced(assumption)).
% 19.44/13.02 tff(8432,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8433,plain,
% 19.44/13.02 (((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0)) <=> ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8434,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0)))),
% 19.44/13.02 inference(monotonicity,[status(thm)],[8433])).
% 19.44/13.02 tff(8435,plain,
% 19.44/13.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 19.44/13.02 inference(transitivity,[status(thm)],[8434, 8432])).
% 19.44/13.02 tff(8436,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8437,plain,
% 19.44/13.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0)),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8436, 8435])).
% 19.44/13.02 tff(8438,plain,
% 19.44/13.02 ((~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8437, 605, 8392])).
% 19.44/13.02 tff(8439,plain,
% 19.44/13.02 (~v84(constB75, bitIndex0)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8438, 8425, 8431])).
% 19.44/13.02 tff(8440,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB75) | (~v106(constB75)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB75) | (~v106(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8441,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB75) | (~v106(constB75)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8442,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB75) | (~v106(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8441, 8440])).
% 19.44/13.02 tff(8443,plain,
% 19.44/13.02 (~v106(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8442, 276, 8389])).
% 19.44/13.02 tff(8444,assumption,(~v26(constB75)), introduced(assumption)).
% 19.44/13.02 tff(8445,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8446,plain,
% 19.44/13.02 ((v26(constB75) | (~v107(constB75)) | v106(constB75)) <=> (v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8447,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75))))),
% 19.44/13.02 inference(monotonicity,[status(thm)],[8446])).
% 19.44/13.02 tff(8448,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 19.44/13.02 inference(transitivity,[status(thm)],[8447, 8445])).
% 19.44/13.02 tff(8449,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8450,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8449, 8448])).
% 19.44/13.02 tff(8451,plain,
% 19.44/13.02 (v106(constB75) | (~v107(constB75))),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8450, 264, 8444])).
% 19.44/13.02 tff(8452,plain,
% 19.44/13.02 (~v107(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8451, 8443])).
% 19.44/13.02 tff(8453,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB75) | (~v108(constB75)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB75) | (~v108(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8454,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB75) | (~v108(constB75)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8455,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB75) | (~v108(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8454, 8453])).
% 19.44/13.02 tff(8456,plain,
% 19.44/13.02 (~v108(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8455, 250, 8452])).
% 19.44/13.02 tff(8457,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB75) | (~v109(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB75) | (~v109(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8458,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB75) | (~v109(constB75)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8459,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB75) | (~v109(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 19.44/13.02 tff(8460,plain,
% 19.44/13.02 (~v109(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8459, 239, 8456])).
% 19.44/13.02 tff(8461,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB75) | (~v172(constB75)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB75) | (~v172(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8462,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB75) | (~v172(constB75)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8463,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB75) | (~v172(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8462, 8461])).
% 19.44/13.02 tff(8464,plain,
% 19.44/13.02 (~v172(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8463, 1457, 8460])).
% 19.44/13.02 tff(8465,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8466,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8467,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75)),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 19.44/13.02 tff(8468,plain,
% 19.44/13.02 (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex2)) | v172(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8467, 1446, 8426])).
% 19.44/13.02 tff(8469,plain,
% 19.44/13.02 (~v84(constB75, bitIndex2)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8468, 8464, 8439])).
% 19.44/13.02 tff(8470,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8471,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8472,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 19.44/13.02 tff(8473,plain,
% 19.44/13.02 (v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex2)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8472, 184, 8426])).
% 19.44/13.02 tff(8474,plain,
% 19.44/13.02 (v113(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8473, 8469, 8439])).
% 19.44/13.02 tff(8475,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB75) | (~v113(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8476,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB75) | (~v113(constB75)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8477,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB75) | (~v113(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8476, 8475])).
% 19.44/13.02 tff(8478,plain,
% 19.44/13.02 (v112(constB75)),
% 19.44/13.02 inference(unit_resolution,[status(thm)],[8477, 195, 8474])).
% 19.44/13.02 tff(8479,plain,
% 19.44/13.02 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB75) | (~v110(constB75)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB75) | (~v110(constB75)))),
% 19.44/13.02 inference(rewrite,[status(thm)],[])).
% 19.44/13.02 tff(8480,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB75) | (~v110(constB75)))),
% 19.44/13.02 inference(quant_inst,[status(thm)],[])).
% 19.44/13.02 tff(8481,plain,
% 19.44/13.02 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB75) | (~v110(constB75))),
% 19.44/13.02 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 19.44/13.02 tff(8482,plain,
% 19.44/13.02 (~v110(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8481, 228, 8460])).
% 19.44/13.03 tff(8483,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB75) | (~v111(constB75)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB75) | (~v111(constB75)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8484,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB75) | (~v111(constB75)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8485,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB75) | (~v111(constB75))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8484, 8483])).
% 19.44/13.03 tff(8486,plain,
% 19.44/13.03 (~v111(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8485, 217, 8482])).
% 19.44/13.03 tff(8487,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB75) | (~v112(constB75)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8488,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB75) | (~v112(constB75)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8489,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB75) | (~v112(constB75))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8488, 8487])).
% 19.44/13.03 tff(8490,plain,
% 19.44/13.03 ($false),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8489, 206, 8486, 8478])).
% 19.44/13.03 tff(8491,plain,(v102(constB75) | v84(constB75, bitIndex1) | v26(constB75) | v84(constB76, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.03 tff(8492,plain,
% 19.44/13.03 (v84(constB76, bitIndex0)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8491, 8430, 8426, 8389])).
% 19.44/13.03 tff(8493,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8494,plain,
% 19.44/13.03 (((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0))) <=> (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8495,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0))))),
% 19.44/13.03 inference(monotonicity,[status(thm)],[8494])).
% 19.44/13.03 tff(8496,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 19.44/13.03 inference(transitivity,[status(thm)],[8495, 8493])).
% 19.44/13.03 tff(8497,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8498,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8497, 8496])).
% 19.44/13.03 tff(8499,plain,
% 19.44/13.03 (v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0))),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8498, 163, 8392])).
% 19.44/13.03 tff(8500,plain,
% 19.44/13.03 (v84(constB75, bitIndex0)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8499, 8492, 8425])).
% 19.44/13.03 tff(8501,plain,
% 19.44/13.03 (~v107(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8450, 264, 8430, 8443])).
% 19.44/13.03 tff(8502,plain,
% 19.44/13.03 (~v108(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8455, 250, 8501])).
% 19.44/13.03 tff(8503,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB75) | (~v118(constB75)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8504,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB75) | (~v118(constB75)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8505,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB75) | (~v118(constB75))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 19.44/13.03 tff(8506,plain,
% 19.44/13.03 (~v118(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8505, 1683, 8502])).
% 19.44/13.03 tff(8507,plain,
% 19.44/13.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8508,plain,
% 19.44/13.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8509,plain,
% 19.44/13.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75)),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8508, 8507])).
% 19.44/13.03 tff(8510,plain,
% 19.44/13.03 ((~v84(constB75, bitIndex0)) | (~v84(constB75, bitIndex2)) | v118(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8509, 1672, 8426])).
% 19.44/13.03 tff(8511,plain,
% 19.44/13.03 (~v84(constB75, bitIndex2)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8510, 8506, 8500])).
% 19.44/13.03 tff(8512,plain,
% 19.44/13.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8513,plain,
% 19.44/13.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8514,plain,
% 19.44/13.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75)),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 19.44/13.03 tff(8515,plain,
% 19.44/13.03 ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | v145(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8514, 624, 8426])).
% 19.44/13.03 tff(8516,plain,
% 19.44/13.03 (v145(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8515, 8511, 8500])).
% 19.44/13.03 tff(8517,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB75) | (~v145(constB75)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB75) | (~v145(constB75)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8518,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB75) | (~v145(constB75)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8519,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB75) | (~v145(constB75))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8518, 8517])).
% 19.44/13.03 tff(8520,plain,
% 19.44/13.03 (v112(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8519, 681, 8516])).
% 19.44/13.03 tff(8521,plain,
% 19.44/13.03 (~v109(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8459, 239, 8502])).
% 19.44/13.03 tff(8522,plain,
% 19.44/13.03 (~v110(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8481, 228, 8521])).
% 19.44/13.03 tff(8523,plain,
% 19.44/13.03 (~v111(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8485, 217, 8522])).
% 19.44/13.03 tff(8524,plain,
% 19.44/13.03 ($false),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8489, 206, 8523, 8520])).
% 19.44/13.03 tff(8525,plain,(v102(constB75) | v84(constB75, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.03 tff(8526,plain,
% 19.44/13.03 (v102(constB75)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8525, 8388])).
% 19.44/13.03 tff(8527,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8528,plain,
% 19.44/13.03 (((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8529,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))))),
% 19.44/13.03 inference(monotonicity,[status(thm)],[8528])).
% 19.44/13.03 tff(8530,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 19.44/13.03 inference(transitivity,[status(thm)],[8529, 8527])).
% 19.44/13.03 tff(8531,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8532,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 19.44/13.03 tff(8533,plain,
% 19.44/13.03 (v104(constB76) | (~v102(constB75))),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8532, 293, 8392])).
% 19.44/13.03 tff(8534,plain,
% 19.44/13.03 (v104(constB76)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8533, 8526])).
% 19.44/13.03 tff(8535,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8536,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8537,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8536, 8535])).
% 19.44/13.03 tff(8538,plain,
% 19.44/13.03 (~v98(constB76)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8537, 311, 8392, 8364])).
% 19.44/13.03 tff(8539,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8540,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8541,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76)),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8540, 8539])).
% 19.44/13.03 tff(8542,plain,
% 19.44/13.03 (v96(constB76) | v98(constB76)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8541, 325, 8392])).
% 19.44/13.03 tff(8543,plain,
% 19.44/13.03 (v96(constB76)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8542, 8538])).
% 19.44/13.03 tff(8544,plain,
% 19.44/13.03 (v1(constB76) <=> v1(constB76)),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8545,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 19.44/13.03 tff(8546,plain,
% 19.44/13.03 (v1(constB76)),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8545, 8544])).
% 19.44/13.03 tff(8547,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8548,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8549,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 19.44/13.03 tff(8550,plain,
% 19.44/13.03 (v95(constB76) | (~v96(constB76))),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8549, 343, 8392, 8546])).
% 19.44/13.03 tff(8551,plain,
% 19.44/13.03 (v95(constB76)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8550, 8543])).
% 19.44/13.03 tff(8552,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8553,plain,
% 19.44/13.03 (((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76)) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8554,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76))))),
% 19.44/13.03 inference(monotonicity,[status(thm)],[8553])).
% 19.44/13.03 tff(8555,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 19.44/13.03 inference(transitivity,[status(thm)],[8554, 8552])).
% 19.44/13.03 tff(8556,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8557,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8556, 8555])).
% 19.44/13.03 tff(8558,plain,
% 19.44/13.03 (v94(constB76) | (~v95(constB76)) | (~v104(constB76))),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8557, 358, 8392])).
% 19.44/13.03 tff(8559,plain,
% 19.44/13.03 (v94(constB76) | (~v104(constB76))),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8558, 8551])).
% 19.44/13.03 tff(8560,plain,
% 19.44/13.03 (v94(constB76)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8559, 8534])).
% 19.44/13.03 tff(8561,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex2)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8562,plain,
% 19.44/13.03 ((v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex2))) <=> (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex2)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8563,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex2))))),
% 19.44/13.03 inference(monotonicity,[status(thm)],[8562])).
% 19.44/13.03 tff(8564,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex2)))),
% 19.44/13.03 inference(transitivity,[status(thm)],[8563, 8561])).
% 19.44/13.03 tff(8565,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex2)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8566,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB73) | v172(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73) | (~v124(constB73, bitIndex2))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8565, 8564])).
% 19.44/13.03 tff(8567,plain,
% 19.44/13.03 (~v124(constB73, bitIndex2)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8566, 2037, 8110, 8106, 8102, 8098, 8063, 8059])).
% 19.44/13.03 tff(8568,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8569,plain,
% 19.44/13.03 ((v26(constB73) | v124(constB73, bitIndex2) | (~v121(constB73, bitIndex2))) <=> ((~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8570,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB73) | v124(constB73, bitIndex2) | (~v121(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2)))),
% 19.44/13.03 inference(monotonicity,[status(thm)],[8569])).
% 19.44/13.03 tff(8571,plain,
% 19.44/13.03 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB73) | v124(constB73, bitIndex2) | (~v121(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2))),
% 19.44/13.03 inference(transitivity,[status(thm)],[8570, 8568])).
% 19.44/13.03 tff(8572,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB73) | v124(constB73, bitIndex2) | (~v121(constB73, bitIndex2)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8573,plain,
% 19.44/13.03 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2)),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8572, 8571])).
% 19.44/13.03 tff(8574,plain,
% 19.44/13.03 ((~v121(constB73, bitIndex2)) | v124(constB73, bitIndex2)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8573, 391, 8121])).
% 19.44/13.03 tff(8575,plain,
% 19.44/13.03 (~v121(constB73, bitIndex2)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8574, 8567])).
% 19.44/13.03 tff(8576,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8577,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8578,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8577, 8576])).
% 19.44/13.03 tff(8579,plain,
% 19.44/13.03 (v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2))),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8578, 409, 8132])).
% 19.44/13.03 tff(8580,plain,
% 19.44/13.03 (~v123(constB74, bitIndex2)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8579, 8575])).
% 19.44/13.03 tff(8581,plain,
% 19.44/13.03 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8582,plain,
% 19.44/13.03 (((~v84(constB74, bitIndex2)) | (~v94(constB74)) | v123(constB74, bitIndex2)) <=> ((~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8583,plain,
% 19.44/13.03 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | (~v94(constB74)) | v123(constB74, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74))))),
% 19.44/13.03 inference(monotonicity,[status(thm)],[8582])).
% 19.44/13.03 tff(8584,plain,
% 19.44/13.03 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | (~v94(constB74)) | v123(constB74, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74)))),
% 19.44/13.03 inference(transitivity,[status(thm)],[8583, 8581])).
% 19.44/13.03 tff(8585,plain,
% 19.44/13.03 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB74, bitIndex2)) | (~v94(constB74)) | v123(constB74, bitIndex2))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8586,plain,
% 19.44/13.03 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 19.44/13.03 tff(8587,plain,
% 19.44/13.03 ((~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8586, 424, 8353])).
% 19.44/13.03 tff(8588,plain,
% 19.44/13.03 (~v84(constB74, bitIndex2)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8587, 8580])).
% 19.44/13.03 tff(8589,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8590,plain,
% 19.44/13.03 (((~nextState(constB74, constB75)) | v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2))) <=> (v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2)))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8591,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2))))),
% 19.44/13.03 inference(monotonicity,[status(thm)],[8590])).
% 19.44/13.03 tff(8592,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2)))),
% 19.44/13.03 inference(transitivity,[status(thm)],[8591, 8589])).
% 19.44/13.03 tff(8593,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2)))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8594,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2))),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8593, 8592])).
% 19.44/13.03 tff(8595,plain,
% 19.44/13.03 (v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2))),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8594, 121, 8367])).
% 19.44/13.03 tff(8596,plain,
% 19.44/13.03 (v84(constB74, bitIndex2) | (~v84(constB75, bitIndex2))),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8595, 8379])).
% 19.44/13.03 tff(8597,plain,
% 19.44/13.03 (~v84(constB75, bitIndex2)),
% 19.44/13.03 inference(unit_resolution,[status(thm)],[8596, 8588])).
% 19.44/13.03 tff(8598,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8599,plain,
% 19.44/13.03 (((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0)) <=> ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 19.44/13.03 inference(rewrite,[status(thm)],[])).
% 19.44/13.03 tff(8600,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0)))),
% 19.44/13.03 inference(monotonicity,[status(thm)],[8599])).
% 19.44/13.03 tff(8601,plain,
% 19.44/13.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 19.44/13.03 inference(transitivity,[status(thm)],[8600, 8598])).
% 19.44/13.03 tff(8602,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))),
% 19.44/13.03 inference(quant_inst,[status(thm)],[])).
% 19.44/13.03 tff(8603,plain,
% 19.44/13.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0)),
% 19.44/13.03 inference(modus_ponens,[status(thm)],[8602, 8601])).
% 19.44/13.03 tff(8604,plain,
% 19.44/13.04 ((~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8603, 605, 8367])).
% 19.44/13.04 tff(8605,plain,
% 19.44/13.04 ((~v84(constB74, bitIndex0)) | v84(constB75, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8604, 8379])).
% 19.44/13.04 tff(8606,plain,
% 19.44/13.04 (v84(constB75, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8605, 8345])).
% 19.44/13.04 tff(8607,plain,
% 19.44/13.04 (v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8514, 624, 8606])).
% 19.44/13.04 tff(8608,plain,
% 19.44/13.04 (v145(constB75)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8607, 8597, 8388])).
% 19.44/13.04 tff(8609,plain,
% 19.44/13.04 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB75)) | (~v124(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB75)) | (~v124(constB75, bitIndex2)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8610,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB75)) | (~v124(constB75, bitIndex2)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8611,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB75)) | (~v124(constB75, bitIndex2))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 19.44/13.04 tff(8612,plain,
% 19.44/13.04 (~v124(constB75, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8611, 638, 8608])).
% 19.44/13.04 tff(8613,assumption,(v26(constB75)), introduced(assumption)).
% 19.44/13.04 tff(8614,plain,
% 19.44/13.04 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8615,plain,
% 19.44/13.04 ($false),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8614, 18, 8613])).
% 19.44/13.04 tff(8616,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.04 tff(8617,plain,
% 19.44/13.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8618,plain,
% 19.44/13.04 ((v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2))) <=> ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8619,plain,
% 19.44/13.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2)))),
% 19.44/13.04 inference(monotonicity,[status(thm)],[8618])).
% 19.44/13.04 tff(8620,plain,
% 19.44/13.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 19.44/13.04 inference(transitivity,[status(thm)],[8619, 8617])).
% 19.44/13.04 tff(8621,plain,
% 19.44/13.04 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8622,plain,
% 19.44/13.04 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 19.44/13.04 tff(8623,plain,
% 19.44/13.04 ((~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8622, 391, 8616])).
% 19.44/13.04 tff(8624,plain,
% 19.44/13.04 (~v121(constB75, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8623, 8612])).
% 19.44/13.04 tff(8625,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8626,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8627,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8626, 8625])).
% 19.44/13.04 tff(8628,plain,
% 19.44/13.04 (v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2))),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8627, 409, 8392])).
% 19.44/13.04 tff(8629,plain,
% 19.44/13.04 (~v123(constB76, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8628, 8624])).
% 19.44/13.04 tff(8630,plain,
% 19.44/13.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8631,plain,
% 19.44/13.04 (((~v84(constB76, bitIndex2)) | (~v94(constB76)) | v123(constB76, bitIndex2)) <=> ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8632,plain,
% 19.44/13.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | (~v94(constB76)) | v123(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76))))),
% 19.44/13.04 inference(monotonicity,[status(thm)],[8631])).
% 19.44/13.04 tff(8633,plain,
% 19.44/13.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | (~v94(constB76)) | v123(constB76, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 19.44/13.04 inference(transitivity,[status(thm)],[8632, 8630])).
% 19.44/13.04 tff(8634,plain,
% 19.44/13.04 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | (~v94(constB76)) | v123(constB76, bitIndex2))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8635,plain,
% 19.44/13.04 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 19.44/13.04 tff(8636,plain,
% 19.44/13.04 ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8635, 424, 8560])).
% 19.44/13.04 tff(8637,plain,
% 19.44/13.04 (~v84(constB76, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8636, 8629])).
% 19.44/13.04 tff(8638,plain,
% 19.44/13.04 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB75)) | (~v124(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB75)) | (~v124(constB75, bitIndex0)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8639,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB75)) | (~v124(constB75, bitIndex0)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8640,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB75)) | (~v124(constB75, bitIndex0))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8639, 8638])).
% 19.44/13.04 tff(8641,plain,
% 19.44/13.04 (~v124(constB75, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8640, 871, 8608])).
% 19.44/13.04 tff(8642,plain,
% 19.44/13.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8643,plain,
% 19.44/13.04 ((v26(constB75) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0))) <=> ((~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8644,plain,
% 19.44/13.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB75) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0)))),
% 19.44/13.04 inference(monotonicity,[status(thm)],[8643])).
% 19.44/13.04 tff(8645,plain,
% 19.44/13.04 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB75) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(transitivity,[status(thm)],[8644, 8642])).
% 19.44/13.04 tff(8646,plain,
% 19.44/13.04 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB75) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8647,plain,
% 19.44/13.04 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8646, 8645])).
% 19.44/13.04 tff(8648,plain,
% 19.44/13.04 ((~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8647, 885, 8616])).
% 19.44/13.04 tff(8649,plain,
% 19.44/13.04 (~v121(constB75, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8648, 8641])).
% 19.44/13.04 tff(8650,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8651,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8652,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8651, 8650])).
% 19.44/13.04 tff(8653,plain,
% 19.44/13.04 (v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0))),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8652, 903, 8392])).
% 19.44/13.04 tff(8654,plain,
% 19.44/13.04 (~v123(constB76, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8653, 8649])).
% 19.44/13.04 tff(8655,plain,
% 19.44/13.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8656,plain,
% 19.44/13.04 (((~v84(constB76, bitIndex0)) | (~v94(constB76)) | v123(constB76, bitIndex0)) <=> ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8657,plain,
% 19.44/13.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~v94(constB76)) | v123(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76))))),
% 19.44/13.04 inference(monotonicity,[status(thm)],[8656])).
% 19.44/13.04 tff(8658,plain,
% 19.44/13.04 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~v94(constB76)) | v123(constB76, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76)))),
% 19.44/13.04 inference(transitivity,[status(thm)],[8657, 8655])).
% 19.44/13.04 tff(8659,plain,
% 19.44/13.04 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~v94(constB76)) | v123(constB76, bitIndex0))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8660,plain,
% 19.44/13.04 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 19.44/13.04 tff(8661,plain,
% 19.44/13.04 ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8660, 918, 8560])).
% 19.44/13.04 tff(8662,plain,
% 19.44/13.04 (~v84(constB76, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8661, 8654])).
% 19.44/13.04 tff(8663,plain,
% 19.44/13.04 ((~v1(constB77)) <=> (~v1(constB77))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8664,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 19.44/13.04 tff(8665,plain,
% 19.44/13.04 (~v1(constB77)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8664, 8663])).
% 19.44/13.04 tff(8666,plain,
% 19.44/13.04 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8667,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 19.44/13.04 tff(8668,plain,
% 19.44/13.04 (nextState(constB76, constB77)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 19.44/13.04 tff(8669,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8670,plain,
% 19.44/13.04 (((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8671,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))))),
% 19.44/13.04 inference(monotonicity,[status(thm)],[8670])).
% 19.44/13.04 tff(8672,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 19.44/13.04 inference(transitivity,[status(thm)],[8671, 8669])).
% 19.44/13.04 tff(8673,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8674,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8673, 8672])).
% 19.44/13.04 tff(8675,plain,
% 19.44/13.04 (~v95(constB77)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8674, 89, 8668, 8665])).
% 19.44/13.04 tff(8676,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8677,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8678,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 19.44/13.04 tff(8679,plain,
% 19.44/13.04 (v95(constB77) | (~v94(constB77))),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8678, 106, 8668])).
% 19.44/13.04 tff(8680,plain,
% 19.44/13.04 (~v94(constB77)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8679, 8675])).
% 19.44/13.04 tff(8681,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8682,plain,
% 19.44/13.04 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0))) <=> (v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8683,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0))))),
% 19.44/13.04 inference(monotonicity,[status(thm)],[8682])).
% 19.44/13.04 tff(8684,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0)))),
% 19.44/13.04 inference(transitivity,[status(thm)],[8683, 8681])).
% 19.44/13.04 tff(8685,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8686,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 19.44/13.04 tff(8687,plain,
% 19.44/13.04 (v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0))),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8686, 163, 8668])).
% 19.44/13.04 tff(8688,plain,
% 19.44/13.04 (v84(constB76, bitIndex0) | (~v84(constB77, bitIndex0))),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8687, 8680])).
% 19.44/13.04 tff(8689,plain,
% 19.44/13.04 (~v84(constB77, bitIndex0)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8688, 8662])).
% 19.44/13.04 tff(8690,assumption,(~v124(constB75, bitIndex0)), introduced(assumption)).
% 19.44/13.04 tff(8691,plain,
% 19.44/13.04 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB75)) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB75)) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8692,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB75)) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8693,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB75)) | v124(constB75, bitIndex0)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8692, 8691])).
% 19.44/13.04 tff(8694,plain,
% 19.44/13.04 (~v113(constB75)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8693, 543, 8690])).
% 19.44/13.04 tff(8695,plain,
% 19.44/13.04 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB75)) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB75)) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8696,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB75)) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8697,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB75)) | v124(constB75, bitIndex0)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8696, 8695])).
% 19.44/13.04 tff(8698,plain,
% 19.44/13.04 (~v115(constB75)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8697, 1135, 8690])).
% 19.44/13.04 tff(8699,assumption,(~v84(constB76, bitIndex2)), introduced(assumption)).
% 19.44/13.04 tff(8700,assumption,(v94(constB76)), introduced(assumption)).
% 19.44/13.04 tff(8701,plain,
% 19.44/13.04 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~v123(constB76, bitIndex2)) | (~v94(constB76)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~v123(constB76, bitIndex2)) | (~v94(constB76)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8702,plain,
% 19.44/13.04 ((v84(constB76, bitIndex2) | (~v94(constB76)) | (~v123(constB76, bitIndex2))) <=> (v84(constB76, bitIndex2) | (~v123(constB76, bitIndex2)) | (~v94(constB76)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8703,plain,
% 19.44/13.04 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~v94(constB76)) | (~v123(constB76, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~v123(constB76, bitIndex2)) | (~v94(constB76))))),
% 19.44/13.04 inference(monotonicity,[status(thm)],[8702])).
% 19.44/13.04 tff(8704,plain,
% 19.44/13.04 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~v94(constB76)) | (~v123(constB76, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~v123(constB76, bitIndex2)) | (~v94(constB76)))),
% 19.44/13.04 inference(transitivity,[status(thm)],[8703, 8701])).
% 19.44/13.04 tff(8705,plain,
% 19.44/13.04 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~v94(constB76)) | (~v123(constB76, bitIndex2)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8706,plain,
% 19.44/13.04 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~v123(constB76, bitIndex2)) | (~v94(constB76))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 19.44/13.04 tff(8707,plain,
% 19.44/13.04 (v84(constB76, bitIndex2) | (~v123(constB76, bitIndex2))),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8706, 1303, 8700])).
% 19.44/13.04 tff(8708,plain,
% 19.44/13.04 (~v123(constB76, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8707, 8699])).
% 19.44/13.04 tff(8709,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex2)) | v123(constB76, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex2)) | v123(constB76, bitIndex2))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8710,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex2)) | v123(constB76, bitIndex2))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8711,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex2)) | v123(constB76, bitIndex2)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 19.44/13.04 tff(8712,plain,
% 19.44/13.04 ((~v121(constB75, bitIndex2)) | v123(constB76, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8711, 1288, 8392])).
% 19.44/13.04 tff(8713,plain,
% 19.44/13.04 (~v121(constB75, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8712, 8708])).
% 19.44/13.04 tff(8714,plain,
% 19.44/13.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB75) | (~v124(constB75, bitIndex2)) | v121(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB75) | (~v124(constB75, bitIndex2)) | v121(constB75, bitIndex2))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8715,plain,
% 19.44/13.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB75) | (~v124(constB75, bitIndex2)) | v121(constB75, bitIndex2))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8716,plain,
% 19.44/13.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB75) | (~v124(constB75, bitIndex2)) | v121(constB75, bitIndex2)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8715, 8714])).
% 19.44/13.04 tff(8717,plain,
% 19.44/13.04 ((~v124(constB75, bitIndex2)) | v121(constB75, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8716, 1273, 8616])).
% 19.44/13.04 tff(8718,plain,
% 19.44/13.04 (~v124(constB75, bitIndex2)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8717, 8713])).
% 19.44/13.04 tff(8719,plain,
% 19.44/13.04 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB75)) | v124(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB75)) | v124(constB75, bitIndex2))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8720,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB75)) | v124(constB75, bitIndex2))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8721,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB75)) | v124(constB75, bitIndex2)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 19.44/13.04 tff(8722,plain,
% 19.44/13.04 (~v116(constB75)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8721, 1259, 8718])).
% 19.44/13.04 tff(8723,plain,
% 19.44/13.04 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB75)) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB75)) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8724,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB75)) | v124(constB75, bitIndex0))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8725,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB75)) | v124(constB75, bitIndex0)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8724, 8723])).
% 19.44/13.04 tff(8726,plain,
% 19.44/13.04 (~v172(constB75)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8725, 1631, 8690])).
% 19.44/13.04 tff(8727,plain,
% 19.44/13.04 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB75)) | v124(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB75)) | v124(constB75, bitIndex2))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8728,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB75)) | v124(constB75, bitIndex2))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8729,plain,
% 19.44/13.04 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB75)) | v124(constB75, bitIndex2)),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8728, 8727])).
% 19.44/13.04 tff(8730,plain,
% 19.44/13.04 (~v118(constB75)),
% 19.44/13.04 inference(unit_resolution,[status(thm)],[8729, 1750, 8718])).
% 19.44/13.04 tff(8731,assumption,(~v115(constB77)), introduced(assumption)).
% 19.44/13.04 tff(8732,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8733,plain,
% 19.44/13.04 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2))) <=> (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 19.44/13.04 inference(rewrite,[status(thm)],[])).
% 19.44/13.04 tff(8734,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2))))),
% 19.44/13.04 inference(monotonicity,[status(thm)],[8733])).
% 19.44/13.04 tff(8735,plain,
% 19.44/13.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 19.44/13.04 inference(transitivity,[status(thm)],[8734, 8732])).
% 19.44/13.04 tff(8736,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 19.44/13.04 inference(quant_inst,[status(thm)],[])).
% 19.44/13.04 tff(8737,plain,
% 19.44/13.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2))),
% 19.44/13.04 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 19.44/13.04 tff(8738,plain,
% 19.44/13.04 (v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2))),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8737, 121, 8668])).
% 19.44/13.05 tff(8739,plain,
% 19.44/13.05 (v84(constB76, bitIndex2) | (~v84(constB77, bitIndex2))),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8738, 8680])).
% 19.44/13.05 tff(8740,plain,
% 19.44/13.05 (~v84(constB77, bitIndex2)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8739, 8699])).
% 19.44/13.05 tff(8741,assumption,(~v84(constB77, bitIndex0)), introduced(assumption)).
% 19.44/13.05 tff(8742,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8743,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8744,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8743, 8742])).
% 19.44/13.05 tff(8745,plain,
% 19.44/13.05 ((~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8744, 945, 8741])).
% 19.44/13.05 tff(8746,plain,
% 19.44/13.05 (~v84(constB77, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8745, 8740, 8731])).
% 19.44/13.05 tff(8747,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8748,plain,
% 19.44/13.05 (((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1)) <=> ((~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8749,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1)))),
% 19.44/13.05 inference(monotonicity,[status(thm)],[8748])).
% 19.44/13.05 tff(8750,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1))),
% 19.44/13.05 inference(transitivity,[status(thm)],[8749, 8747])).
% 19.44/13.05 tff(8751,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8752,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8751, 8750])).
% 19.44/13.05 tff(8753,plain,
% 19.44/13.05 ((~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8752, 852, 8668])).
% 19.44/13.05 tff(8754,plain,
% 19.44/13.05 ((~v84(constB76, bitIndex1)) | v84(constB77, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8753, 8680])).
% 19.44/13.05 tff(8755,plain,
% 19.44/13.05 (~v84(constB76, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8754, 8746])).
% 19.44/13.05 tff(8756,plain,
% 19.44/13.05 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8757,plain,
% 19.44/13.05 ((v84(constB76, bitIndex1) | (~v94(constB76)) | (~v123(constB76, bitIndex1))) <=> (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8758,plain,
% 19.44/13.05 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v94(constB76)) | (~v123(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76))))),
% 19.44/13.05 inference(monotonicity,[status(thm)],[8757])).
% 19.44/13.05 tff(8759,plain,
% 19.44/13.05 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v94(constB76)) | (~v123(constB76, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76)))),
% 19.44/13.05 inference(transitivity,[status(thm)],[8758, 8756])).
% 19.44/13.05 tff(8760,plain,
% 19.44/13.05 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v94(constB76)) | (~v123(constB76, bitIndex1)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8761,plain,
% 19.44/13.05 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 19.44/13.05 tff(8762,plain,
% 19.44/13.05 (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1))),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8761, 834, 8700])).
% 19.44/13.05 tff(8763,plain,
% 19.44/13.05 (~v123(constB76, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8762, 8755])).
% 19.44/13.05 tff(8764,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8765,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8766,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 19.44/13.05 tff(8767,plain,
% 19.44/13.05 ((~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8766, 819, 8392])).
% 19.44/13.05 tff(8768,plain,
% 19.44/13.05 (~v121(constB75, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8767, 8763])).
% 19.44/13.05 tff(8769,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB75) | (~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB75) | (~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8770,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB75) | (~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8771,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB75) | (~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8770, 8769])).
% 19.44/13.05 tff(8772,plain,
% 19.44/13.05 ((~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8771, 804, 8616])).
% 19.44/13.05 tff(8773,plain,
% 19.44/13.05 (~v124(constB75, bitIndex1)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8772, 8768])).
% 19.44/13.05 tff(8774,plain,
% 19.44/13.05 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB75)) | v124(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB75)) | v124(constB75, bitIndex1))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8775,plain,
% 19.44/13.05 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB75)) | v124(constB75, bitIndex1))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8776,plain,
% 19.44/13.05 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB75)) | v124(constB75, bitIndex1)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8775, 8774])).
% 19.44/13.05 tff(8777,plain,
% 19.44/13.05 (~v145(constB75)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8776, 790, 8773])).
% 19.44/13.05 tff(8778,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8779,plain,
% 19.44/13.05 ((v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0)) <=> (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8780,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)))),
% 19.44/13.05 inference(monotonicity,[status(thm)],[8779])).
% 19.44/13.05 tff(8781,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 19.44/13.05 inference(transitivity,[status(thm)],[8780, 8778])).
% 19.44/13.05 tff(8782,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | v124(constB75, bitIndex0))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8783,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB75) | v124(constB75, bitIndex0) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8782, 8781])).
% 19.44/13.05 tff(8784,plain,
% 19.44/13.05 (v145(constB75) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8783, 2149, 8690])).
% 19.44/13.05 tff(8785,plain,
% 19.44/13.05 ($false),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8784, 8777, 8730, 8726, 8722, 8698, 8694])).
% 19.44/13.05 tff(8786,plain,(v84(constB76, bitIndex2) | v124(constB75, bitIndex0) | (~v94(constB76)) | v115(constB77) | v84(constB77, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.05 tff(8787,plain,
% 19.44/13.05 (v115(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8786, 8689, 8641, 8637, 8560])).
% 19.44/13.05 tff(8788,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB77) | (~v115(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8789,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB77) | (~v115(constB77)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8790,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB77) | (~v115(constB77))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 19.44/13.05 tff(8791,plain,
% 19.44/13.05 (v111(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8790, 956, 8787])).
% 19.44/13.05 tff(8792,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB77) | (~v111(constB77)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB77) | (~v111(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8793,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB77) | (~v111(constB77)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8794,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB77) | (~v111(constB77))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8793, 8792])).
% 19.44/13.05 tff(8795,plain,
% 19.44/13.05 (v110(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8794, 217, 8791])).
% 19.44/13.05 tff(8796,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB77) | (~v110(constB77)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB77) | (~v110(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8797,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB77) | (~v110(constB77)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8798,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB77) | (~v110(constB77))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8797, 8796])).
% 19.44/13.05 tff(8799,plain,
% 19.44/13.05 (v109(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8798, 228, 8795])).
% 19.44/13.05 tff(8800,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB77) | (~v109(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB77) | (~v109(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8801,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB77) | (~v109(constB77)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8802,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB77) | (~v109(constB77))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 19.44/13.05 tff(8803,plain,
% 19.44/13.05 (v108(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8802, 239, 8799])).
% 19.44/13.05 tff(8804,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB77) | (~v108(constB77)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB77) | (~v108(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8805,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB77) | (~v108(constB77)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8806,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB77) | (~v108(constB77))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 19.44/13.05 tff(8807,plain,
% 19.44/13.05 (v107(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8806, 250, 8803])).
% 19.44/13.05 tff(8808,assumption,(v26(constB77)), introduced(assumption)).
% 19.44/13.05 tff(8809,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8810,plain,
% 19.44/13.05 ($false),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8809, 18, 8808])).
% 19.44/13.05 tff(8811,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.05 tff(8812,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8813,plain,
% 19.44/13.05 ((v26(constB77) | (~v107(constB77)) | v106(constB77)) <=> (v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8814,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77))))),
% 19.44/13.05 inference(monotonicity,[status(thm)],[8813])).
% 19.44/13.05 tff(8815,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 19.44/13.05 inference(transitivity,[status(thm)],[8814, 8812])).
% 19.44/13.05 tff(8816,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8817,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8816, 8815])).
% 19.44/13.05 tff(8818,plain,
% 19.44/13.05 (v106(constB77) | (~v107(constB77))),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8817, 264, 8811])).
% 19.44/13.05 tff(8819,plain,
% 19.44/13.05 (v106(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8818, 8807])).
% 19.44/13.05 tff(8820,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB77) | (~v106(constB77)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB77) | (~v106(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8821,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB77) | (~v106(constB77)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8822,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB77) | (~v106(constB77))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 19.44/13.05 tff(8823,plain,
% 19.44/13.05 (v102(constB77)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8822, 276, 8819])).
% 19.44/13.05 tff(8824,plain,
% 19.44/13.05 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8825,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 19.44/13.05 tff(8826,plain,
% 19.44/13.05 (nextState(constB77, constB78)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 19.44/13.05 tff(8827,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8828,plain,
% 19.44/13.05 (((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8829,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))))),
% 19.44/13.05 inference(monotonicity,[status(thm)],[8828])).
% 19.44/13.05 tff(8830,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 19.44/13.05 inference(transitivity,[status(thm)],[8829, 8827])).
% 19.44/13.05 tff(8831,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8832,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 19.44/13.05 tff(8833,plain,
% 19.44/13.05 (v104(constB78) | (~v102(constB77))),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8832, 293, 8826])).
% 19.44/13.05 tff(8834,plain,
% 19.44/13.05 (v104(constB78)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8833, 8823])).
% 19.44/13.05 tff(8835,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8836,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8837,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 19.44/13.05 tff(8838,plain,
% 19.44/13.05 (~v98(constB78)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8837, 311, 8826, 8665])).
% 19.44/13.05 tff(8839,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8840,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8841,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 19.44/13.05 tff(8842,plain,
% 19.44/13.05 (v96(constB78) | v98(constB78)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8841, 325, 8826])).
% 19.44/13.05 tff(8843,plain,
% 19.44/13.05 (v96(constB78)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8842, 8838])).
% 19.44/13.05 tff(8844,plain,
% 19.44/13.05 (v1(constB78) <=> v1(constB78)),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8845,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 19.44/13.05 tff(8846,plain,
% 19.44/13.05 (v1(constB78)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 19.44/13.05 tff(8847,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8848,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8849,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 19.44/13.05 tff(8850,plain,
% 19.44/13.05 (v95(constB78) | (~v96(constB78))),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8849, 343, 8826, 8846])).
% 19.44/13.05 tff(8851,plain,
% 19.44/13.05 (v95(constB78)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8850, 8843])).
% 19.44/13.05 tff(8852,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8853,plain,
% 19.44/13.05 (((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78)) <=> ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8854,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78))))),
% 19.44/13.05 inference(monotonicity,[status(thm)],[8853])).
% 19.44/13.05 tff(8855,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 19.44/13.05 inference(transitivity,[status(thm)],[8854, 8852])).
% 19.44/13.05 tff(8856,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8857,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 19.44/13.05 tff(8858,plain,
% 19.44/13.05 (v94(constB78) | (~v95(constB78)) | (~v104(constB78))),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8857, 358, 8826])).
% 19.44/13.05 tff(8859,plain,
% 19.44/13.05 (v94(constB78) | (~v104(constB78))),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8858, 8851])).
% 19.44/13.05 tff(8860,plain,
% 19.44/13.05 (v94(constB78)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8859, 8834])).
% 19.44/13.05 tff(8861,plain,
% 19.44/13.05 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB77)) | (~v124(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB77)) | (~v124(constB77, bitIndex2)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8862,plain,
% 19.44/13.05 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB77)) | (~v124(constB77, bitIndex2)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8863,plain,
% 19.44/13.05 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB77)) | (~v124(constB77, bitIndex2))),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8862, 8861])).
% 19.44/13.05 tff(8864,plain,
% 19.44/13.05 (~v124(constB77, bitIndex2)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8863, 1032, 8787])).
% 19.44/13.05 tff(8865,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8866,plain,
% 19.44/13.05 ((v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2))) <=> ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8867,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2)))),
% 19.44/13.05 inference(monotonicity,[status(thm)],[8866])).
% 19.44/13.05 tff(8868,plain,
% 19.44/13.05 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 19.44/13.05 inference(transitivity,[status(thm)],[8867, 8865])).
% 19.44/13.05 tff(8869,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))),
% 19.44/13.05 inference(quant_inst,[status(thm)],[])).
% 19.44/13.05 tff(8870,plain,
% 19.44/13.05 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2)),
% 19.44/13.05 inference(modus_ponens,[status(thm)],[8869, 8868])).
% 19.44/13.05 tff(8871,plain,
% 19.44/13.05 ((~v121(constB77, bitIndex2)) | v124(constB77, bitIndex2)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8870, 391, 8811])).
% 19.44/13.05 tff(8872,plain,
% 19.44/13.05 (~v121(constB77, bitIndex2)),
% 19.44/13.05 inference(unit_resolution,[status(thm)],[8871, 8864])).
% 19.44/13.05 tff(8873,plain,
% 19.44/13.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))),
% 19.44/13.05 inference(rewrite,[status(thm)],[])).
% 19.44/13.05 tff(8874,plain,
% 19.44/13.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8875,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8874, 8873])).
% 19.44/13.06 tff(8876,plain,
% 19.44/13.06 (v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2))),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8875, 409, 8826])).
% 19.44/13.06 tff(8877,plain,
% 19.44/13.06 (~v123(constB78, bitIndex2)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8876, 8872])).
% 19.44/13.06 tff(8878,plain,
% 19.44/13.06 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8879,plain,
% 19.44/13.06 (((~v84(constB78, bitIndex2)) | (~v94(constB78)) | v123(constB78, bitIndex2)) <=> ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8880,plain,
% 19.44/13.06 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~v94(constB78)) | v123(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78))))),
% 19.44/13.06 inference(monotonicity,[status(thm)],[8879])).
% 19.44/13.06 tff(8881,plain,
% 19.44/13.06 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~v94(constB78)) | v123(constB78, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 19.44/13.06 inference(transitivity,[status(thm)],[8880, 8878])).
% 19.44/13.06 tff(8882,plain,
% 19.44/13.06 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~v94(constB78)) | v123(constB78, bitIndex2))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8883,plain,
% 19.44/13.06 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8882, 8881])).
% 19.44/13.06 tff(8884,plain,
% 19.44/13.06 ((~v84(constB78, bitIndex2)) | (~v94(constB78))),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8883, 424, 8877])).
% 19.44/13.06 tff(8885,plain,
% 19.44/13.06 (~v84(constB78, bitIndex2)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8884, 8860])).
% 19.44/13.06 tff(8886,plain,
% 19.44/13.06 ((~v1(constB79)) <=> (~v1(constB79))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8887,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 19.44/13.06 tff(8888,plain,
% 19.44/13.06 (~v1(constB79)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 19.44/13.06 tff(8889,plain,
% 19.44/13.06 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8890,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 19.44/13.06 tff(8891,plain,
% 19.44/13.06 (nextState(constB78, constB79)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 19.44/13.06 tff(8892,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8893,plain,
% 19.44/13.06 (((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8894,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))))),
% 19.44/13.06 inference(monotonicity,[status(thm)],[8893])).
% 19.44/13.06 tff(8895,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 19.44/13.06 inference(transitivity,[status(thm)],[8894, 8892])).
% 19.44/13.06 tff(8896,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8897,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8896, 8895])).
% 19.44/13.06 tff(8898,plain,
% 19.44/13.06 (~v95(constB79)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8897, 89, 8891, 8888])).
% 19.44/13.06 tff(8899,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8900,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8901,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 19.44/13.06 tff(8902,plain,
% 19.44/13.06 (v95(constB79) | (~v94(constB79))),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8901, 106, 8891])).
% 19.44/13.06 tff(8903,plain,
% 19.44/13.06 (~v94(constB79)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8902, 8898])).
% 19.44/13.06 tff(8904,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8905,plain,
% 19.44/13.06 (((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2))) <=> (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8906,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2))))),
% 19.44/13.06 inference(monotonicity,[status(thm)],[8905])).
% 19.44/13.06 tff(8907,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 19.44/13.06 inference(transitivity,[status(thm)],[8906, 8904])).
% 19.44/13.06 tff(8908,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8909,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8908, 8907])).
% 19.44/13.06 tff(8910,plain,
% 19.44/13.06 (v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2))),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8909, 121, 8891])).
% 19.44/13.06 tff(8911,plain,
% 19.44/13.06 (v84(constB78, bitIndex2) | (~v84(constB79, bitIndex2))),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8910, 8903])).
% 19.44/13.06 tff(8912,plain,
% 19.44/13.06 (~v84(constB79, bitIndex2)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8911, 8885])).
% 19.44/13.06 tff(8913,plain,
% 19.44/13.06 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB77)) | v124(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB77)) | v124(constB77, bitIndex1))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8914,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB77)) | v124(constB77, bitIndex1))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8915,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB77)) | v124(constB77, bitIndex1)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8914, 8913])).
% 19.44/13.06 tff(8916,plain,
% 19.44/13.06 (v124(constB77, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8915, 1094, 8787])).
% 19.44/13.06 tff(8917,plain,
% 19.44/13.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8918,plain,
% 19.44/13.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8919,plain,
% 19.44/13.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8918, 8917])).
% 19.44/13.06 tff(8920,plain,
% 19.44/13.06 ((~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8919, 804, 8811])).
% 19.44/13.06 tff(8921,plain,
% 19.44/13.06 (v121(constB77, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8920, 8916])).
% 19.44/13.06 tff(8922,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8923,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8924,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 19.44/13.06 tff(8925,plain,
% 19.44/13.06 ((~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8924, 819, 8826])).
% 19.44/13.06 tff(8926,plain,
% 19.44/13.06 (v123(constB78, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8925, 8921])).
% 19.44/13.06 tff(8927,plain,
% 19.44/13.06 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8928,plain,
% 19.44/13.06 ((v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1))) <=> (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8929,plain,
% 19.44/13.06 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78))))),
% 19.44/13.06 inference(monotonicity,[status(thm)],[8928])).
% 19.44/13.06 tff(8930,plain,
% 19.44/13.06 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 19.44/13.06 inference(transitivity,[status(thm)],[8929, 8927])).
% 19.44/13.06 tff(8931,plain,
% 19.44/13.06 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8932,plain,
% 19.44/13.06 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 19.44/13.06 tff(8933,plain,
% 19.44/13.06 (v84(constB78, bitIndex1) | (~v94(constB78))),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8932, 834, 8926])).
% 19.44/13.06 tff(8934,plain,
% 19.44/13.06 (v84(constB78, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8933, 8860])).
% 19.44/13.06 tff(8935,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8936,plain,
% 19.44/13.06 (((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1)) <=> ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8937,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1)))),
% 19.44/13.06 inference(monotonicity,[status(thm)],[8936])).
% 19.44/13.06 tff(8938,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 19.44/13.06 inference(transitivity,[status(thm)],[8937, 8935])).
% 19.44/13.06 tff(8939,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8940,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 19.44/13.06 tff(8941,plain,
% 19.44/13.06 ((~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8940, 852, 8891])).
% 19.44/13.06 tff(8942,plain,
% 19.44/13.06 ((~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8941, 8903])).
% 19.44/13.06 tff(8943,plain,
% 19.44/13.06 (v84(constB79, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8942, 8934])).
% 19.44/13.06 tff(8944,plain,
% 19.44/13.06 (v124(constB75, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8776, 790, 8608])).
% 19.44/13.06 tff(8945,plain,
% 19.44/13.06 (v121(constB75, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8772, 8944])).
% 19.44/13.06 tff(8946,plain,
% 19.44/13.06 (v123(constB76, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8767, 8945])).
% 19.44/13.06 tff(8947,plain,
% 19.44/13.06 (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1))),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8761, 834, 8560])).
% 19.44/13.06 tff(8948,plain,
% 19.44/13.06 (v84(constB76, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8947, 8946])).
% 19.44/13.06 tff(8949,plain,
% 19.44/13.06 (v84(constB77, bitIndex1)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8754, 8948])).
% 19.44/13.06 tff(8950,plain,
% 19.44/13.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v172(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v172(constB77)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8951,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v172(constB77)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8952,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v172(constB77))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8951, 8950])).
% 19.44/13.06 tff(8953,plain,
% 19.44/13.06 (~v172(constB77)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8952, 2023, 8949])).
% 19.44/13.06 tff(8954,plain,
% 19.44/13.06 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB77, bitIndex0) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB77, bitIndex0) | (~v116(constB77)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8955,plain,
% 19.44/13.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB77, bitIndex0) | (~v116(constB77)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8956,plain,
% 19.44/13.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB77, bitIndex0) | (~v116(constB77))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8955, 8954])).
% 19.44/13.06 tff(8957,plain,
% 19.44/13.06 (~v116(constB77)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8956, 4939, 8689])).
% 19.44/13.06 tff(8958,plain,
% 19.44/13.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v118(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v118(constB77)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8959,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v118(constB77)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8960,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v118(constB77))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8959, 8958])).
% 19.44/13.06 tff(8961,plain,
% 19.44/13.06 (~v118(constB77)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8960, 2001, 8949])).
% 19.44/13.06 tff(8962,plain,
% 19.44/13.06 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB77)) | (~v84(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB77)) | (~v84(constB77, bitIndex1)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8963,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB77)) | (~v84(constB77, bitIndex1)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8964,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB77)) | (~v84(constB77, bitIndex1))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8963, 8962])).
% 19.44/13.06 tff(8965,plain,
% 19.44/13.06 (~v113(constB77)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8964, 1990, 8949])).
% 19.44/13.06 tff(8966,plain,
% 19.44/13.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v145(constB77)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8967,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v145(constB77)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8968,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v145(constB77))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 19.44/13.06 tff(8969,plain,
% 19.44/13.06 (~v145(constB77)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8968, 2012, 8949])).
% 19.44/13.06 tff(8970,assumption,(~v124(constB77, bitIndex0)), introduced(assumption)).
% 19.44/13.06 tff(8971,assumption,(~v113(constB77)), introduced(assumption)).
% 19.44/13.06 tff(8972,assumption,(~v172(constB77)), introduced(assumption)).
% 19.44/13.06 tff(8973,assumption,(~v118(constB77)), introduced(assumption)).
% 19.44/13.06 tff(8974,assumption,(~v116(constB77)), introduced(assumption)).
% 19.44/13.06 tff(8975,assumption,(~v145(constB77)), introduced(assumption)).
% 19.44/13.06 tff(8976,plain,
% 19.44/13.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8977,plain,
% 19.44/13.06 ((v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | v124(constB77, bitIndex0)) <=> (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8978,plain,
% 19.44/13.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0)))),
% 19.44/13.06 inference(monotonicity,[status(thm)],[8977])).
% 19.44/13.06 tff(8979,plain,
% 19.44/13.06 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0))),
% 19.44/13.06 inference(transitivity,[status(thm)],[8978, 8976])).
% 19.44/13.06 tff(8980,plain,
% 19.44/13.06 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | v124(constB77, bitIndex0))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8981,plain,
% 19.44/13.06 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8980, 8979])).
% 19.44/13.06 tff(8982,plain,
% 19.44/13.06 (v172(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8981, 2149, 8975, 8974, 8973])).
% 19.44/13.06 tff(8983,plain,
% 19.44/13.06 (v115(constB77)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8982, 8970, 8972, 8971])).
% 19.44/13.06 tff(8984,plain,
% 19.44/13.06 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB77)) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB77)) | v124(constB77, bitIndex0))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8985,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB77)) | v124(constB77, bitIndex0))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8986,plain,
% 19.44/13.06 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB77)) | v124(constB77, bitIndex0)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8985, 8984])).
% 19.44/13.06 tff(8987,plain,
% 19.44/13.06 ($false),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8986, 1135, 8983, 8970])).
% 19.44/13.06 tff(8988,plain,(v124(constB77, bitIndex0) | v172(constB77) | v113(constB77) | v145(constB77) | v116(constB77) | v118(constB77)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.06 tff(8989,plain,
% 19.44/13.06 (v124(constB77, bitIndex0)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8988, 8969, 8965, 8961, 8957, 8953])).
% 19.44/13.06 tff(8990,plain,
% 19.44/13.06 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8991,plain,
% 19.44/13.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8992,plain,
% 19.44/13.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8991, 8990])).
% 19.44/13.06 tff(8993,plain,
% 19.44/13.06 ((~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8992, 557, 8811])).
% 19.44/13.06 tff(8994,plain,
% 19.44/13.06 (v121(constB77, bitIndex0)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8993, 8989])).
% 19.44/13.06 tff(8995,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(8996,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(8997,plain,
% 19.44/13.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0)),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[8996, 8995])).
% 19.44/13.06 tff(8998,plain,
% 19.44/13.06 ((~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8997, 572, 8826])).
% 19.44/13.06 tff(8999,plain,
% 19.44/13.06 (v123(constB78, bitIndex0)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[8998, 8994])).
% 19.44/13.06 tff(9000,plain,
% 19.44/13.06 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(9001,plain,
% 19.44/13.06 ((v84(constB78, bitIndex0) | (~v94(constB78)) | (~v123(constB78, bitIndex0))) <=> (v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78)))),
% 19.44/13.06 inference(rewrite,[status(thm)],[])).
% 19.44/13.06 tff(9002,plain,
% 19.44/13.06 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v94(constB78)) | (~v123(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78))))),
% 19.44/13.06 inference(monotonicity,[status(thm)],[9001])).
% 19.44/13.06 tff(9003,plain,
% 19.44/13.06 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v94(constB78)) | (~v123(constB78, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78)))),
% 19.44/13.06 inference(transitivity,[status(thm)],[9002, 9000])).
% 19.44/13.06 tff(9004,plain,
% 19.44/13.06 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v94(constB78)) | (~v123(constB78, bitIndex0)))),
% 19.44/13.06 inference(quant_inst,[status(thm)],[])).
% 19.44/13.06 tff(9005,plain,
% 19.44/13.06 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78))),
% 19.44/13.06 inference(modus_ponens,[status(thm)],[9004, 9003])).
% 19.44/13.06 tff(9006,plain,
% 19.44/13.06 (v84(constB78, bitIndex0) | (~v94(constB78))),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[9005, 587, 8999])).
% 19.44/13.06 tff(9007,plain,
% 19.44/13.06 (v84(constB78, bitIndex0)),
% 19.44/13.06 inference(unit_resolution,[status(thm)],[9006, 8860])).
% 19.44/13.06 tff(9008,plain,
% 19.44/13.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9009,plain,
% 19.44/13.07 (((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0)) <=> ((~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9010,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0)))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9009])).
% 19.44/13.07 tff(9011,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9010, 9008])).
% 19.44/13.07 tff(9012,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9013,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9012, 9011])).
% 19.44/13.07 tff(9014,plain,
% 19.44/13.07 ((~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9013, 605, 8891])).
% 19.44/13.07 tff(9015,plain,
% 19.44/13.07 ((~v84(constB78, bitIndex0)) | v84(constB79, bitIndex0)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9014, 8903])).
% 19.44/13.07 tff(9016,plain,
% 19.44/13.07 (v84(constB79, bitIndex0)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9015, 9007])).
% 19.44/13.07 tff(9017,plain,
% 19.44/13.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9018,plain,
% 19.44/13.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9019,plain,
% 19.44/13.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9018, 9017])).
% 19.44/13.07 tff(9020,plain,
% 19.44/13.07 (v116(constB79)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9019, 1176, 9016, 8943, 8912])).
% 19.44/13.07 tff(9021,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB79) | (~v116(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9022,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB79) | (~v116(constB79)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9023,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB79) | (~v116(constB79))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9022, 9021])).
% 19.44/13.07 tff(9024,plain,
% 19.44/13.07 (v110(constB79)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9023, 1187, 9020])).
% 19.44/13.07 tff(9025,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB79) | (~v110(constB79)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB79) | (~v110(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9026,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB79) | (~v110(constB79)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9027,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB79) | (~v110(constB79))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9026, 9025])).
% 19.44/13.07 tff(9028,plain,
% 19.44/13.07 (v109(constB79)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9027, 228, 9024])).
% 19.44/13.07 tff(9029,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB79) | (~v109(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB79) | (~v109(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9030,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB79) | (~v109(constB79)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9031,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB79) | (~v109(constB79))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9030, 9029])).
% 19.44/13.07 tff(9032,plain,
% 19.44/13.07 (v108(constB79)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9031, 239, 9028])).
% 19.44/13.07 tff(9033,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB79) | (~v108(constB79)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB79) | (~v108(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9034,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB79) | (~v108(constB79)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9035,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB79) | (~v108(constB79))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9034, 9033])).
% 19.44/13.07 tff(9036,plain,
% 19.44/13.07 (v107(constB79)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9035, 250, 9032])).
% 19.44/13.07 tff(9037,assumption,(v26(constB79)), introduced(assumption)).
% 19.44/13.07 tff(9038,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9039,plain,
% 19.44/13.07 ($false),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9038, 18, 9037])).
% 19.44/13.07 tff(9040,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.07 tff(9041,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | v106(constB79) | (~v107(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9042,plain,
% 19.44/13.07 ((v26(constB79) | (~v107(constB79)) | v106(constB79)) <=> (v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9043,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | v106(constB79) | (~v107(constB79))))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9042])).
% 19.44/13.07 tff(9044,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9043, 9041])).
% 19.44/13.07 tff(9045,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9046,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9045, 9044])).
% 19.44/13.07 tff(9047,plain,
% 19.44/13.07 (v106(constB79) | (~v107(constB79))),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9046, 264, 9040])).
% 19.44/13.07 tff(9048,plain,
% 19.44/13.07 (v106(constB79)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9047, 9036])).
% 19.44/13.07 tff(9049,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB79) | (~v106(constB79)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB79) | (~v106(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9050,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB79) | (~v106(constB79)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9051,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB79) | (~v106(constB79))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 19.44/13.07 tff(9052,plain,
% 19.44/13.07 (v102(constB79)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9051, 276, 9048])).
% 19.44/13.07 tff(9053,plain,
% 19.44/13.07 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9054,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 19.44/13.07 tff(9055,plain,
% 19.44/13.07 (nextState(constB79, constB80)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 19.44/13.07 tff(9056,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9057,plain,
% 19.44/13.07 (((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9058,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9057])).
% 19.44/13.07 tff(9059,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9058, 9056])).
% 19.44/13.07 tff(9060,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9061,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 19.44/13.07 tff(9062,plain,
% 19.44/13.07 (v104(constB80) | (~v102(constB79))),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9061, 293, 9055])).
% 19.44/13.07 tff(9063,plain,
% 19.44/13.07 (v104(constB80)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9062, 9052])).
% 19.44/13.07 tff(9064,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9065,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9066,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9065, 9064])).
% 19.44/13.07 tff(9067,plain,
% 19.44/13.07 (~v98(constB80)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9066, 311, 9055, 8888])).
% 19.44/13.07 tff(9068,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9069,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9070,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9069, 9068])).
% 19.44/13.07 tff(9071,plain,
% 19.44/13.07 (v96(constB80) | v98(constB80)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9070, 325, 9055])).
% 19.44/13.07 tff(9072,plain,
% 19.44/13.07 (v96(constB80)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9071, 9067])).
% 19.44/13.07 tff(9073,plain,
% 19.44/13.07 (v1(constB80) <=> v1(constB80)),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9074,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 19.44/13.07 tff(9075,plain,
% 19.44/13.07 (v1(constB80)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9074, 9073])).
% 19.44/13.07 tff(9076,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9077,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9078,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9077, 9076])).
% 19.44/13.07 tff(9079,plain,
% 19.44/13.07 (v95(constB80) | (~v96(constB80))),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9078, 343, 9055, 9075])).
% 19.44/13.07 tff(9080,plain,
% 19.44/13.07 (v95(constB80)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9079, 9072])).
% 19.44/13.07 tff(9081,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9082,plain,
% 19.44/13.07 (((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80)) <=> ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9083,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80))))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9082])).
% 19.44/13.07 tff(9084,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9083, 9081])).
% 19.44/13.07 tff(9085,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9086,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9085, 9084])).
% 19.44/13.07 tff(9087,plain,
% 19.44/13.07 (v94(constB80) | (~v95(constB80)) | (~v104(constB80))),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9086, 358, 9055])).
% 19.44/13.07 tff(9088,plain,
% 19.44/13.07 (v94(constB80) | (~v104(constB80))),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9087, 9080])).
% 19.44/13.07 tff(9089,plain,
% 19.44/13.07 (v94(constB80)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9088, 9063])).
% 19.44/13.07 tff(9090,plain,
% 19.44/13.07 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB79)) | v124(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB79)) | v124(constB79, bitIndex2))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9091,plain,
% 19.44/13.07 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB79)) | v124(constB79, bitIndex2))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9092,plain,
% 19.44/13.07 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB79)) | v124(constB79, bitIndex2)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 19.44/13.07 tff(9093,plain,
% 19.44/13.07 (v124(constB79, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9092, 1259, 9020])).
% 19.44/13.07 tff(9094,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB79) | (~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB79) | (~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9095,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB79) | (~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9096,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB79) | (~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 19.44/13.07 tff(9097,plain,
% 19.44/13.07 ((~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9096, 1273, 9040])).
% 19.44/13.07 tff(9098,plain,
% 19.44/13.07 (v121(constB79, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9097, 9093])).
% 19.44/13.07 tff(9099,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9100,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9101,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9100, 9099])).
% 19.44/13.07 tff(9102,plain,
% 19.44/13.07 ((~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9101, 1288, 9055])).
% 19.44/13.07 tff(9103,plain,
% 19.44/13.07 (v123(constB80, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9102, 9098])).
% 19.44/13.07 tff(9104,plain,
% 19.44/13.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9105,plain,
% 19.44/13.07 ((v84(constB80, bitIndex2) | (~v94(constB80)) | (~v123(constB80, bitIndex2))) <=> (v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9106,plain,
% 19.44/13.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v94(constB80)) | (~v123(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80))))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9105])).
% 19.44/13.07 tff(9107,plain,
% 19.44/13.07 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v94(constB80)) | (~v123(constB80, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80)))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9106, 9104])).
% 19.44/13.07 tff(9108,plain,
% 19.44/13.07 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v94(constB80)) | (~v123(constB80, bitIndex2)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9109,plain,
% 19.44/13.07 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9108, 9107])).
% 19.44/13.07 tff(9110,plain,
% 19.44/13.07 (v84(constB80, bitIndex2) | (~v94(constB80))),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9109, 1303, 9103])).
% 19.44/13.07 tff(9111,plain,
% 19.44/13.07 (v84(constB80, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9110, 9089])).
% 19.44/13.07 tff(9112,plain,
% 19.44/13.07 ((~v1(constB81)) <=> (~v1(constB81))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9113,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 19.44/13.07 tff(9114,plain,
% 19.44/13.07 (~v1(constB81)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9113, 9112])).
% 19.44/13.07 tff(9115,plain,
% 19.44/13.07 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9116,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 19.44/13.07 tff(9117,plain,
% 19.44/13.07 (nextState(constB80, constB81)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9116, 9115])).
% 19.44/13.07 tff(9118,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9119,plain,
% 19.44/13.07 (((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9120,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9119])).
% 19.44/13.07 tff(9121,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9120, 9118])).
% 19.44/13.07 tff(9122,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9123,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9122, 9121])).
% 19.44/13.07 tff(9124,plain,
% 19.44/13.07 (~v95(constB81)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9123, 89, 9117, 9114])).
% 19.44/13.07 tff(9125,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9126,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9127,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 19.44/13.07 tff(9128,plain,
% 19.44/13.07 (v95(constB81) | (~v94(constB81))),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9127, 106, 9117])).
% 19.44/13.07 tff(9129,plain,
% 19.44/13.07 (~v94(constB81)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9128, 9124])).
% 19.44/13.07 tff(9130,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9131,plain,
% 19.44/13.07 (((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2)) <=> ((~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9132,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2)))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9131])).
% 19.44/13.07 tff(9133,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9132, 9130])).
% 19.44/13.07 tff(9134,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9135,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 19.44/13.07 tff(9136,plain,
% 19.44/13.07 ((~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9135, 1339, 9117])).
% 19.44/13.07 tff(9137,plain,
% 19.44/13.07 ((~v84(constB80, bitIndex2)) | v84(constB81, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9136, 9129])).
% 19.44/13.07 tff(9138,plain,
% 19.44/13.07 (v84(constB81, bitIndex2)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9137, 9111])).
% 19.44/13.07 tff(9139,plain,
% 19.44/13.07 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB79)) | (~v124(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB79)) | (~v124(constB79, bitIndex1)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9140,plain,
% 19.44/13.07 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB79)) | (~v124(constB79, bitIndex1)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9141,plain,
% 19.44/13.07 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB79)) | (~v124(constB79, bitIndex1))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9140, 9139])).
% 19.44/13.07 tff(9142,plain,
% 19.44/13.07 (~v124(constB79, bitIndex1)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9141, 1358, 9020])).
% 19.44/13.07 tff(9143,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9144,plain,
% 19.44/13.07 ((v26(constB79) | v124(constB79, bitIndex1) | (~v121(constB79, bitIndex1))) <=> ((~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9145,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB79) | v124(constB79, bitIndex1) | (~v121(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1)))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9144])).
% 19.44/13.07 tff(9146,plain,
% 19.44/13.07 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB79) | v124(constB79, bitIndex1) | (~v121(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9145, 9143])).
% 19.44/13.07 tff(9147,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB79) | v124(constB79, bitIndex1) | (~v121(constB79, bitIndex1)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9148,plain,
% 19.44/13.07 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1)),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 19.44/13.07 tff(9149,plain,
% 19.44/13.07 ((~v121(constB79, bitIndex1)) | v124(constB79, bitIndex1)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9148, 483, 9040])).
% 19.44/13.07 tff(9150,plain,
% 19.44/13.07 (~v121(constB79, bitIndex1)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9149, 9142])).
% 19.44/13.07 tff(9151,plain,
% 19.44/13.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9152,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1)))),
% 19.44/13.07 inference(quant_inst,[status(thm)],[])).
% 19.44/13.07 tff(9153,plain,
% 19.44/13.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1))),
% 19.44/13.07 inference(modus_ponens,[status(thm)],[9152, 9151])).
% 19.44/13.07 tff(9154,plain,
% 19.44/13.07 (v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1))),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9153, 501, 9055])).
% 19.44/13.07 tff(9155,plain,
% 19.44/13.07 (~v123(constB80, bitIndex1)),
% 19.44/13.07 inference(unit_resolution,[status(thm)],[9154, 9150])).
% 19.44/13.07 tff(9156,plain,
% 19.44/13.07 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9157,plain,
% 19.44/13.07 (((~v84(constB80, bitIndex1)) | (~v94(constB80)) | v123(constB80, bitIndex1)) <=> ((~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80)))),
% 19.44/13.07 inference(rewrite,[status(thm)],[])).
% 19.44/13.07 tff(9158,plain,
% 19.44/13.07 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~v94(constB80)) | v123(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80))))),
% 19.44/13.07 inference(monotonicity,[status(thm)],[9157])).
% 19.44/13.07 tff(9159,plain,
% 19.44/13.07 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~v94(constB80)) | v123(constB80, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80)))),
% 19.44/13.07 inference(transitivity,[status(thm)],[9158, 9156])).
% 19.44/13.07 tff(9160,plain,
% 19.44/13.08 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~v94(constB80)) | v123(constB80, bitIndex1))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9161,plain,
% 19.44/13.08 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9160, 9159])).
% 19.44/13.08 tff(9162,plain,
% 19.44/13.08 ((~v84(constB80, bitIndex1)) | (~v94(constB80))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9161, 516, 9155])).
% 19.44/13.08 tff(9163,plain,
% 19.44/13.08 (~v84(constB80, bitIndex1)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9162, 9089])).
% 19.44/13.08 tff(9164,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9165,plain,
% 19.44/13.08 (((~nextState(constB80, constB81)) | v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1))) <=> (v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9166,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1))))),
% 19.44/13.08 inference(monotonicity,[status(thm)],[9165])).
% 19.44/13.08 tff(9167,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1)))),
% 19.44/13.08 inference(transitivity,[status(thm)],[9166, 9164])).
% 19.44/13.08 tff(9168,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9169,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 19.44/13.08 tff(9170,plain,
% 19.44/13.08 (v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9169, 142, 9117])).
% 19.44/13.08 tff(9171,plain,
% 19.44/13.08 (v84(constB80, bitIndex1) | (~v84(constB81, bitIndex1))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9170, 9129])).
% 19.44/13.08 tff(9172,plain,
% 19.44/13.08 (~v84(constB81, bitIndex1)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9171, 9163])).
% 19.44/13.08 tff(9173,plain,
% 19.44/13.08 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB79)) | (~v124(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB79)) | (~v124(constB79, bitIndex0)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9174,plain,
% 19.44/13.08 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB79)) | (~v124(constB79, bitIndex0)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9175,plain,
% 19.44/13.08 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB79)) | (~v124(constB79, bitIndex0))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 19.44/13.08 tff(9176,plain,
% 19.44/13.08 (~v124(constB79, bitIndex0)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9175, 1402, 9020])).
% 19.44/13.08 tff(9177,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9178,plain,
% 19.44/13.08 ((v26(constB79) | v124(constB79, bitIndex0) | (~v121(constB79, bitIndex0))) <=> ((~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9179,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB79) | v124(constB79, bitIndex0) | (~v121(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0)))),
% 19.44/13.08 inference(monotonicity,[status(thm)],[9178])).
% 19.44/13.08 tff(9180,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB79) | v124(constB79, bitIndex0) | (~v121(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0))),
% 19.44/13.08 inference(transitivity,[status(thm)],[9179, 9177])).
% 19.44/13.08 tff(9181,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB79) | v124(constB79, bitIndex0) | (~v121(constB79, bitIndex0)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9182,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0)),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9181, 9180])).
% 19.44/13.08 tff(9183,plain,
% 19.44/13.08 ((~v121(constB79, bitIndex0)) | v124(constB79, bitIndex0)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9182, 885, 9040])).
% 19.44/13.08 tff(9184,plain,
% 19.44/13.08 (~v121(constB79, bitIndex0)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9183, 9176])).
% 19.44/13.08 tff(9185,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9186,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9187,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9186, 9185])).
% 19.44/13.08 tff(9188,plain,
% 19.44/13.08 (v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9187, 903, 9055])).
% 19.44/13.08 tff(9189,plain,
% 19.44/13.08 (~v123(constB80, bitIndex0)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9188, 9184])).
% 19.44/13.08 tff(9190,plain,
% 19.44/13.08 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9191,plain,
% 19.44/13.08 (((~v84(constB80, bitIndex0)) | (~v94(constB80)) | v123(constB80, bitIndex0)) <=> ((~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9192,plain,
% 19.44/13.08 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~v94(constB80)) | v123(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80))))),
% 19.44/13.08 inference(monotonicity,[status(thm)],[9191])).
% 19.44/13.08 tff(9193,plain,
% 19.44/13.08 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~v94(constB80)) | v123(constB80, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80)))),
% 19.44/13.08 inference(transitivity,[status(thm)],[9192, 9190])).
% 19.44/13.08 tff(9194,plain,
% 19.44/13.08 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~v94(constB80)) | v123(constB80, bitIndex0))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9195,plain,
% 19.44/13.08 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9194, 9193])).
% 19.44/13.08 tff(9196,plain,
% 19.44/13.08 ((~v84(constB80, bitIndex0)) | (~v94(constB80))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9195, 918, 9189])).
% 19.44/13.08 tff(9197,plain,
% 19.44/13.08 (~v84(constB80, bitIndex0)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9196, 9089])).
% 19.44/13.08 tff(9198,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9199,plain,
% 19.44/13.08 (((~nextState(constB80, constB81)) | v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0))) <=> (v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9200,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0))))),
% 19.44/13.08 inference(monotonicity,[status(thm)],[9199])).
% 19.44/13.08 tff(9201,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0)))),
% 19.44/13.08 inference(transitivity,[status(thm)],[9200, 9198])).
% 19.44/13.08 tff(9202,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9203,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 19.44/13.08 tff(9204,plain,
% 19.44/13.08 (v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9203, 163, 9117])).
% 19.44/13.08 tff(9205,plain,
% 19.44/13.08 (v84(constB80, bitIndex0) | (~v84(constB81, bitIndex0))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9204, 9129])).
% 19.44/13.08 tff(9206,plain,
% 19.44/13.08 (~v84(constB81, bitIndex0)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9205, 9197])).
% 19.44/13.08 tff(9207,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9208,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9209,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81)),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9208, 9207])).
% 19.44/13.08 tff(9210,plain,
% 19.44/13.08 (v172(constB81)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9209, 1446, 9206, 9172, 9138])).
% 19.44/13.08 tff(9211,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB81) | (~v172(constB81)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB81) | (~v172(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9212,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB81) | (~v172(constB81)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9213,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB81) | (~v172(constB81))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 19.44/13.08 tff(9214,plain,
% 19.44/13.08 (v109(constB81)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9213, 1457, 9210])).
% 19.44/13.08 tff(9215,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB81) | (~v109(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB81) | (~v109(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9216,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB81) | (~v109(constB81)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9217,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB81) | (~v109(constB81))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 19.44/13.08 tff(9218,plain,
% 19.44/13.08 (v108(constB81)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9217, 239, 9214])).
% 19.44/13.08 tff(9219,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB81) | (~v108(constB81)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB81) | (~v108(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9220,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB81) | (~v108(constB81)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9221,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB81) | (~v108(constB81))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9220, 9219])).
% 19.44/13.08 tff(9222,plain,
% 19.44/13.08 (v107(constB81)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9221, 250, 9218])).
% 19.44/13.08 tff(9223,assumption,(~v102(constB81)), introduced(assumption)).
% 19.44/13.08 tff(9224,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB81) | (~v106(constB81)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB81) | (~v106(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9225,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB81) | (~v106(constB81)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9226,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB81) | (~v106(constB81))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 19.44/13.08 tff(9227,plain,
% 19.44/13.08 (~v106(constB81)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9226, 276, 9223])).
% 19.44/13.08 tff(9228,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB81) | (~v26(constB81)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB81) | (~v26(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9229,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB81) | (~v26(constB81)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9230,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB81) | (~v26(constB81))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9229, 9228])).
% 19.44/13.08 tff(9231,plain,
% 19.44/13.08 (~v26(constB81)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9230, 670, 9223])).
% 19.44/13.08 tff(9232,assumption,(v107(constB81)), introduced(assumption)).
% 19.44/13.08 tff(9233,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9234,plain,
% 19.44/13.08 ((v26(constB81) | (~v107(constB81)) | v106(constB81)) <=> (v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9235,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81))))),
% 19.44/13.08 inference(monotonicity,[status(thm)],[9234])).
% 19.44/13.08 tff(9236,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 19.44/13.08 inference(transitivity,[status(thm)],[9235, 9233])).
% 19.44/13.08 tff(9237,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9238,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9237, 9236])).
% 19.44/13.08 tff(9239,plain,
% 19.44/13.08 (v26(constB81) | v106(constB81)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9238, 264, 9232])).
% 19.44/13.08 tff(9240,plain,
% 19.44/13.08 ($false),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9239, 9231, 9227])).
% 19.44/13.08 tff(9241,plain,(v102(constB81) | (~v107(constB81))), inference(lemma,lemma(discharge,[]))).
% 19.44/13.08 tff(9242,plain,
% 19.44/13.08 (v102(constB81)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9241, 9222])).
% 19.44/13.08 tff(9243,plain,
% 19.44/13.08 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9244,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 19.44/13.08 tff(9245,plain,
% 19.44/13.08 (nextState(constB81, constB82)),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9244, 9243])).
% 19.44/13.08 tff(9246,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9247,plain,
% 19.44/13.08 (((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9248,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))))),
% 19.44/13.08 inference(monotonicity,[status(thm)],[9247])).
% 19.44/13.08 tff(9249,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 19.44/13.08 inference(transitivity,[status(thm)],[9248, 9246])).
% 19.44/13.08 tff(9250,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9251,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9250, 9249])).
% 19.44/13.08 tff(9252,plain,
% 19.44/13.08 (v104(constB82) | (~v102(constB81))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9251, 293, 9245])).
% 19.44/13.08 tff(9253,plain,
% 19.44/13.08 (v104(constB82)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9252, 9242])).
% 19.44/13.08 tff(9254,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9255,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9256,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 19.44/13.08 tff(9257,plain,
% 19.44/13.08 (~v98(constB82)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9256, 311, 9245, 9114])).
% 19.44/13.08 tff(9258,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9259,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9260,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82)),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 19.44/13.08 tff(9261,plain,
% 19.44/13.08 (v96(constB82) | v98(constB82)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9260, 325, 9245])).
% 19.44/13.08 tff(9262,plain,
% 19.44/13.08 (v96(constB82)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9261, 9257])).
% 19.44/13.08 tff(9263,plain,
% 19.44/13.08 (v1(constB82) <=> v1(constB82)),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9264,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 19.44/13.08 tff(9265,plain,
% 19.44/13.08 (v1(constB82)),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9264, 9263])).
% 19.44/13.08 tff(9266,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9267,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9268,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9267, 9266])).
% 19.44/13.08 tff(9269,plain,
% 19.44/13.08 (v95(constB82) | (~v96(constB82))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9268, 343, 9245, 9265])).
% 19.44/13.08 tff(9270,plain,
% 19.44/13.08 (v95(constB82)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9269, 9262])).
% 19.44/13.08 tff(9271,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9272,plain,
% 19.44/13.08 (((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82)) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9273,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82))))),
% 19.44/13.08 inference(monotonicity,[status(thm)],[9272])).
% 19.44/13.08 tff(9274,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 19.44/13.08 inference(transitivity,[status(thm)],[9273, 9271])).
% 19.44/13.08 tff(9275,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9276,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9275, 9274])).
% 19.44/13.08 tff(9277,plain,
% 19.44/13.08 (v94(constB82) | (~v95(constB82)) | (~v104(constB82))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9276, 358, 9245])).
% 19.44/13.08 tff(9278,plain,
% 19.44/13.08 (v94(constB82) | (~v104(constB82))),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9277, 9270])).
% 19.44/13.08 tff(9279,plain,
% 19.44/13.08 (v94(constB82)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9278, 9253])).
% 19.44/13.08 tff(9280,plain,
% 19.44/13.08 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB81)) | v124(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB81)) | v124(constB81, bitIndex2))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9281,plain,
% 19.44/13.08 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB81)) | v124(constB81, bitIndex2))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9282,plain,
% 19.44/13.08 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB81)) | v124(constB81, bitIndex2)),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 19.44/13.08 tff(9283,plain,
% 19.44/13.08 (v124(constB81, bitIndex2)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9282, 1528, 9210])).
% 19.44/13.08 tff(9284,assumption,(v26(constB81)), introduced(assumption)).
% 19.44/13.08 tff(9285,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9286,plain,
% 19.44/13.08 ($false),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9285, 18, 9284])).
% 19.44/13.08 tff(9287,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.08 tff(9288,plain,
% 19.44/13.08 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9289,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9290,plain,
% 19.44/13.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2)),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9289, 9288])).
% 19.44/13.08 tff(9291,plain,
% 19.44/13.08 ((~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9290, 1273, 9287])).
% 19.44/13.08 tff(9292,plain,
% 19.44/13.08 (v121(constB81, bitIndex2)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9291, 9283])).
% 19.44/13.08 tff(9293,plain,
% 19.44/13.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9294,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9295,plain,
% 19.44/13.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2)),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9294, 9293])).
% 19.44/13.08 tff(9296,plain,
% 19.44/13.08 ((~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9295, 1288, 9245])).
% 19.44/13.08 tff(9297,plain,
% 19.44/13.08 (v123(constB82, bitIndex2)),
% 19.44/13.08 inference(unit_resolution,[status(thm)],[9296, 9292])).
% 19.44/13.08 tff(9298,plain,
% 19.44/13.08 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9299,plain,
% 19.44/13.08 ((v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2))) <=> (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 19.44/13.08 inference(rewrite,[status(thm)],[])).
% 19.44/13.08 tff(9300,plain,
% 19.44/13.08 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82))))),
% 19.44/13.08 inference(monotonicity,[status(thm)],[9299])).
% 19.44/13.08 tff(9301,plain,
% 19.44/13.08 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 19.44/13.08 inference(transitivity,[status(thm)],[9300, 9298])).
% 19.44/13.08 tff(9302,plain,
% 19.44/13.08 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))),
% 19.44/13.08 inference(quant_inst,[status(thm)],[])).
% 19.44/13.08 tff(9303,plain,
% 19.44/13.08 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82))),
% 19.44/13.08 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 19.44/13.08 tff(9304,plain,
% 19.44/13.08 (v84(constB82, bitIndex2) | (~v94(constB82))),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9303, 1303, 9297])).
% 19.44/13.09 tff(9305,plain,
% 19.44/13.09 (v84(constB82, bitIndex2)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9304, 9279])).
% 19.44/13.09 tff(9306,plain,
% 19.44/13.09 ((~v1(constB83)) <=> (~v1(constB83))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9307,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 19.44/13.09 tff(9308,plain,
% 19.44/13.09 (~v1(constB83)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9307, 9306])).
% 19.44/13.09 tff(9309,plain,
% 19.44/13.09 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9310,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 19.44/13.09 tff(9311,plain,
% 19.44/13.09 (nextState(constB82, constB83)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9310, 9309])).
% 19.44/13.09 tff(9312,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9313,plain,
% 19.44/13.09 (((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9314,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))))),
% 19.44/13.09 inference(monotonicity,[status(thm)],[9313])).
% 19.44/13.09 tff(9315,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 19.44/13.09 inference(transitivity,[status(thm)],[9314, 9312])).
% 19.44/13.09 tff(9316,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9317,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9316, 9315])).
% 19.44/13.09 tff(9318,plain,
% 19.44/13.09 (~v95(constB83)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9317, 89, 9311, 9308])).
% 19.44/13.09 tff(9319,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9320,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9321,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9320, 9319])).
% 19.44/13.09 tff(9322,plain,
% 19.44/13.09 (v95(constB83) | (~v94(constB83))),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9321, 106, 9311])).
% 19.44/13.09 tff(9323,plain,
% 19.44/13.09 (~v94(constB83)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9322, 9318])).
% 19.44/13.09 tff(9324,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9325,plain,
% 19.44/13.09 (((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2)) <=> ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9326,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2)))),
% 19.44/13.09 inference(monotonicity,[status(thm)],[9325])).
% 19.44/13.09 tff(9327,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 19.44/13.09 inference(transitivity,[status(thm)],[9326, 9324])).
% 19.44/13.09 tff(9328,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9329,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9328, 9327])).
% 19.44/13.09 tff(9330,plain,
% 19.44/13.09 ((~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9329, 1339, 9311])).
% 19.44/13.09 tff(9331,plain,
% 19.44/13.09 ((~v84(constB82, bitIndex2)) | v84(constB83, bitIndex2)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9330, 9323])).
% 19.44/13.09 tff(9332,plain,
% 19.44/13.09 (v84(constB83, bitIndex2)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9331, 9305])).
% 19.44/13.09 tff(9333,plain,
% 19.44/13.09 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB81)) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB81)) | (~v124(constB81, bitIndex1)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9334,plain,
% 19.44/13.09 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB81)) | (~v124(constB81, bitIndex1)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9335,plain,
% 19.44/13.09 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB81)) | (~v124(constB81, bitIndex1))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 19.44/13.09 tff(9336,plain,
% 19.44/13.09 (~v124(constB81, bitIndex1)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9335, 1587, 9210])).
% 19.44/13.09 tff(9337,plain,
% 19.44/13.09 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9338,plain,
% 19.44/13.09 ((v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1))) <=> ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9339,plain,
% 19.44/13.09 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1)))),
% 19.44/13.09 inference(monotonicity,[status(thm)],[9338])).
% 19.44/13.09 tff(9340,plain,
% 19.44/13.09 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 19.44/13.09 inference(transitivity,[status(thm)],[9339, 9337])).
% 19.44/13.09 tff(9341,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9342,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9341, 9340])).
% 19.44/13.09 tff(9343,plain,
% 19.44/13.09 ((~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9342, 483, 9287])).
% 19.44/13.09 tff(9344,plain,
% 19.44/13.09 (~v121(constB81, bitIndex1)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9343, 9336])).
% 19.44/13.09 tff(9345,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9346,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9347,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 19.44/13.09 tff(9348,plain,
% 19.44/13.09 (v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1))),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9347, 501, 9245])).
% 19.44/13.09 tff(9349,plain,
% 19.44/13.09 (~v123(constB82, bitIndex1)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9348, 9344])).
% 19.44/13.09 tff(9350,plain,
% 19.44/13.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9351,plain,
% 19.44/13.09 (((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1)) <=> ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9352,plain,
% 19.44/13.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82))))),
% 19.44/13.09 inference(monotonicity,[status(thm)],[9351])).
% 19.44/13.09 tff(9353,plain,
% 19.44/13.09 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 19.44/13.09 inference(transitivity,[status(thm)],[9352, 9350])).
% 19.44/13.09 tff(9354,plain,
% 19.44/13.09 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9355,plain,
% 19.44/13.09 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 19.44/13.09 tff(9356,plain,
% 19.44/13.09 ((~v84(constB82, bitIndex1)) | (~v94(constB82))),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9355, 516, 9349])).
% 19.44/13.09 tff(9357,plain,
% 19.44/13.09 (~v84(constB82, bitIndex1)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9356, 9279])).
% 19.44/13.09 tff(9358,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9359,plain,
% 19.44/13.09 (((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1))) <=> (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9360,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1))))),
% 19.44/13.09 inference(monotonicity,[status(thm)],[9359])).
% 19.44/13.09 tff(9361,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 19.44/13.09 inference(transitivity,[status(thm)],[9360, 9358])).
% 19.44/13.09 tff(9362,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9363,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 19.44/13.09 tff(9364,plain,
% 19.44/13.09 (v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1))),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9363, 142, 9311])).
% 19.44/13.09 tff(9365,plain,
% 19.44/13.09 (v84(constB82, bitIndex1) | (~v84(constB83, bitIndex1))),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9364, 9323])).
% 19.44/13.09 tff(9366,plain,
% 19.44/13.09 (~v84(constB83, bitIndex1)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9365, 9357])).
% 19.44/13.09 tff(9367,plain,
% 19.44/13.09 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB81)) | v124(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB81)) | v124(constB81, bitIndex0))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9368,plain,
% 19.44/13.09 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB81)) | v124(constB81, bitIndex0))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9369,plain,
% 19.44/13.09 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB81)) | v124(constB81, bitIndex0)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9368, 9367])).
% 19.44/13.09 tff(9370,plain,
% 19.44/13.09 (v124(constB81, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9369, 1631, 9210])).
% 19.44/13.09 tff(9371,plain,
% 19.44/13.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB81) | (~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB81) | (~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9372,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB81) | (~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9373,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB81) | (~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9372, 9371])).
% 19.44/13.09 tff(9374,plain,
% 19.44/13.09 ((~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9373, 557, 9287])).
% 19.44/13.09 tff(9375,plain,
% 19.44/13.09 (v121(constB81, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9374, 9370])).
% 19.44/13.09 tff(9376,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9377,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9378,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9377, 9376])).
% 19.44/13.09 tff(9379,plain,
% 19.44/13.09 ((~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9378, 572, 9245])).
% 19.44/13.09 tff(9380,plain,
% 19.44/13.09 (v123(constB82, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9379, 9375])).
% 19.44/13.09 tff(9381,plain,
% 19.44/13.09 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9382,plain,
% 19.44/13.09 ((v84(constB82, bitIndex0) | (~v94(constB82)) | (~v123(constB82, bitIndex0))) <=> (v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9383,plain,
% 19.44/13.09 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v94(constB82)) | (~v123(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82))))),
% 19.44/13.09 inference(monotonicity,[status(thm)],[9382])).
% 19.44/13.09 tff(9384,plain,
% 19.44/13.09 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v94(constB82)) | (~v123(constB82, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82)))),
% 19.44/13.09 inference(transitivity,[status(thm)],[9383, 9381])).
% 19.44/13.09 tff(9385,plain,
% 19.44/13.09 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v94(constB82)) | (~v123(constB82, bitIndex0)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9386,plain,
% 19.44/13.09 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9385, 9384])).
% 19.44/13.09 tff(9387,plain,
% 19.44/13.09 (v84(constB82, bitIndex0) | (~v94(constB82))),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9386, 587, 9380])).
% 19.44/13.09 tff(9388,plain,
% 19.44/13.09 (v84(constB82, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9387, 9279])).
% 19.44/13.09 tff(9389,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9390,plain,
% 19.44/13.09 (((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0)) <=> ((~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9391,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0)))),
% 19.44/13.09 inference(monotonicity,[status(thm)],[9390])).
% 19.44/13.09 tff(9392,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0))),
% 19.44/13.09 inference(transitivity,[status(thm)],[9391, 9389])).
% 19.44/13.09 tff(9393,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9394,plain,
% 19.44/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 19.44/13.09 tff(9395,plain,
% 19.44/13.09 ((~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9394, 605, 9311])).
% 19.44/13.09 tff(9396,plain,
% 19.44/13.09 ((~v84(constB82, bitIndex0)) | v84(constB83, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9395, 9323])).
% 19.44/13.09 tff(9397,plain,
% 19.44/13.09 (v84(constB83, bitIndex0)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9396, 9388])).
% 19.44/13.09 tff(9398,plain,
% 19.44/13.09 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9399,plain,
% 19.44/13.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9400,plain,
% 19.44/13.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9399, 9398])).
% 19.44/13.09 tff(9401,plain,
% 19.44/13.09 (v118(constB83)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9400, 1672, 9397, 9366, 9332])).
% 19.44/13.09 tff(9402,plain,
% 19.44/13.09 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB83) | (~v118(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB83) | (~v118(constB83)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9403,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB83) | (~v118(constB83)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9404,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB83) | (~v118(constB83))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 19.44/13.09 tff(9405,plain,
% 19.44/13.09 (v108(constB83)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9404, 1683, 9401])).
% 19.44/13.09 tff(9406,plain,
% 19.44/13.09 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB83) | (~v108(constB83)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB83) | (~v108(constB83)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9407,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB83) | (~v108(constB83)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9408,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB83) | (~v108(constB83))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 19.44/13.09 tff(9409,plain,
% 19.44/13.09 (v107(constB83)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9408, 250, 9405])).
% 19.44/13.09 tff(9410,assumption,(v26(constB83)), introduced(assumption)).
% 19.44/13.09 tff(9411,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9412,plain,
% 19.44/13.09 ($false),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9411, 18, 9410])).
% 19.44/13.09 tff(9413,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 19.44/13.09 tff(9414,plain,
% 19.44/13.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9415,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9416,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | (~v107(constB83)) | v106(constB83)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9415, 9414])).
% 19.44/13.09 tff(9417,plain,
% 19.44/13.09 ((~v107(constB83)) | v106(constB83)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9416, 264, 9413])).
% 19.44/13.09 tff(9418,plain,
% 19.44/13.09 (v106(constB83)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9417, 9409])).
% 19.44/13.09 tff(9419,plain,
% 19.44/13.09 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB83) | (~v106(constB83)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB83) | (~v106(constB83)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9420,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB83) | (~v106(constB83)))),
% 19.44/13.09 inference(quant_inst,[status(thm)],[])).
% 19.44/13.09 tff(9421,plain,
% 19.44/13.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB83) | (~v106(constB83))),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9420, 9419])).
% 19.44/13.09 tff(9422,plain,
% 19.44/13.09 (v102(constB83)),
% 19.44/13.09 inference(unit_resolution,[status(thm)],[9421, 276, 9418])).
% 19.44/13.09 tff(9423,plain,
% 19.44/13.09 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9424,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 19.44/13.09 tff(9425,plain,
% 19.44/13.09 (nextState(constB83, constB84)),
% 19.44/13.09 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 19.44/13.09 tff(9426,plain,
% 19.44/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 19.44/13.09 inference(rewrite,[status(thm)],[])).
% 19.44/13.09 tff(9427,plain,
% 19.44/13.09 (((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 19.52/13.09 inference(rewrite,[status(thm)],[])).
% 19.52/13.09 tff(9428,plain,
% 19.52/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))))),
% 19.52/13.09 inference(monotonicity,[status(thm)],[9427])).
% 19.52/13.09 tff(9429,plain,
% 19.52/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 19.52/13.09 inference(transitivity,[status(thm)],[9428, 9426])).
% 19.52/13.09 tff(9430,plain,
% 19.52/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))),
% 19.52/13.09 inference(quant_inst,[status(thm)],[])).
% 19.52/13.09 tff(9431,plain,
% 19.52/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))),
% 19.52/13.09 inference(modus_ponens,[status(thm)],[9430, 9429])).
% 19.52/13.09 tff(9432,plain,
% 19.52/13.09 (v104(constB84) | (~v102(constB83))),
% 19.52/13.09 inference(unit_resolution,[status(thm)],[9431, 293, 9425])).
% 19.52/13.09 tff(9433,plain,
% 19.52/13.09 (v104(constB84)),
% 19.52/13.09 inference(unit_resolution,[status(thm)],[9432, 9422])).
% 19.52/13.09 tff(9434,plain,
% 19.52/13.09 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 19.52/13.09 inference(rewrite,[status(thm)],[])).
% 19.52/13.09 tff(9435,plain,
% 19.52/13.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 19.52/13.09 inference(quant_inst,[status(thm)],[])).
% 19.52/13.09 tff(9436,plain,
% 19.52/13.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84))),
% 19.52/13.09 inference(modus_ponens,[status(thm)],[9435, 9434])).
% 19.52/13.09 tff(9437,plain,
% 19.52/13.09 (~v98(constB84)),
% 19.52/13.09 inference(unit_resolution,[status(thm)],[9436, 311, 9425, 9308])).
% 19.52/13.09 tff(9438,plain,
% 19.52/13.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 19.52/13.09 inference(rewrite,[status(thm)],[])).
% 19.52/13.09 tff(9439,plain,
% 19.52/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 19.52/13.09 inference(quant_inst,[status(thm)],[])).
% 19.52/13.09 tff(9440,plain,
% 19.52/13.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84)),
% 19.52/13.09 inference(modus_ponens,[status(thm)],[9439, 9438])).
% 19.52/13.09 tff(9441,plain,
% 19.52/13.09 (v96(constB84) | v98(constB84)),
% 19.52/13.09 inference(unit_resolution,[status(thm)],[9440, 325, 9425])).
% 19.52/13.09 tff(9442,plain,
% 19.52/13.09 (v96(constB84)),
% 19.52/13.09 inference(unit_resolution,[status(thm)],[9441, 9437])).
% 19.52/13.09 tff(9443,plain,
% 19.52/13.09 (v1(constB84) <=> v1(constB84)),
% 19.52/13.09 inference(rewrite,[status(thm)],[])).
% 19.52/13.09 tff(9444,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 19.52/13.09 tff(9445,plain,
% 19.52/13.10 (v1(constB84)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9444, 9443])).
% 19.52/13.10 tff(9446,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9447,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9448,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84))),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9447, 9446])).
% 19.52/13.10 tff(9449,plain,
% 19.52/13.10 (v95(constB84) | (~v96(constB84))),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9448, 343, 9425, 9445])).
% 19.52/13.10 tff(9450,plain,
% 19.52/13.10 (v95(constB84)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9449, 9442])).
% 19.52/13.10 tff(9451,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9452,plain,
% 19.52/13.10 (((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84)) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9453,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84))))),
% 19.52/13.10 inference(monotonicity,[status(thm)],[9452])).
% 19.52/13.10 tff(9454,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 19.52/13.10 inference(transitivity,[status(thm)],[9453, 9451])).
% 19.52/13.10 tff(9455,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9456,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84))),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9455, 9454])).
% 19.52/13.10 tff(9457,plain,
% 19.52/13.10 (v94(constB84) | (~v95(constB84)) | (~v104(constB84))),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9456, 358, 9425])).
% 19.52/13.10 tff(9458,plain,
% 19.52/13.10 (v94(constB84) | (~v104(constB84))),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9457, 9450])).
% 19.52/13.10 tff(9459,plain,
% 19.52/13.10 (v94(constB84)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9458, 9433])).
% 19.52/13.10 tff(9460,plain,
% 19.52/13.10 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB83)) | v124(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB83)) | v124(constB83, bitIndex2))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9461,plain,
% 19.52/13.10 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB83)) | v124(constB83, bitIndex2))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9462,plain,
% 19.52/13.10 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB83)) | v124(constB83, bitIndex2)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 19.52/13.10 tff(9463,plain,
% 19.52/13.10 (v124(constB83, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9462, 1750, 9401])).
% 19.52/13.10 tff(9464,plain,
% 19.52/13.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9465,plain,
% 19.52/13.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9466,plain,
% 19.52/13.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9465, 9464])).
% 19.52/13.10 tff(9467,plain,
% 19.52/13.10 ((~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9466, 1273, 9413])).
% 19.52/13.10 tff(9468,plain,
% 19.52/13.10 (v121(constB83, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9467, 9463])).
% 19.52/13.10 tff(9469,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9470,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9471,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9470, 9469])).
% 19.52/13.10 tff(9472,plain,
% 19.52/13.10 ((~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9471, 1288, 9425])).
% 19.52/13.10 tff(9473,plain,
% 19.52/13.10 (v123(constB84, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9472, 9468])).
% 19.52/13.10 tff(9474,plain,
% 19.52/13.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9475,plain,
% 19.52/13.10 ((v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2))) <=> (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9476,plain,
% 19.52/13.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84))))),
% 19.52/13.10 inference(monotonicity,[status(thm)],[9475])).
% 19.52/13.10 tff(9477,plain,
% 19.52/13.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 19.52/13.10 inference(transitivity,[status(thm)],[9476, 9474])).
% 19.52/13.10 tff(9478,plain,
% 19.52/13.10 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9479,plain,
% 19.52/13.10 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84))),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9478, 9477])).
% 19.52/13.10 tff(9480,plain,
% 19.52/13.10 (v84(constB84, bitIndex2) | (~v94(constB84))),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9479, 1303, 9473])).
% 19.52/13.10 tff(9481,plain,
% 19.52/13.10 (v84(constB84, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9480, 9459])).
% 19.52/13.10 tff(9482,plain,
% 19.52/13.10 ((~v1(constB85)) <=> (~v1(constB85))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9483,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 19.52/13.10 tff(9484,plain,
% 19.52/13.10 (~v1(constB85)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9483, 9482])).
% 19.52/13.10 tff(9485,plain,
% 19.52/13.10 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9486,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 19.52/13.10 tff(9487,plain,
% 19.52/13.10 (nextState(constB84, constB85)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9486, 9485])).
% 19.52/13.10 tff(9488,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9489,plain,
% 19.52/13.10 (((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9490,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))))),
% 19.52/13.10 inference(monotonicity,[status(thm)],[9489])).
% 19.52/13.10 tff(9491,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 19.52/13.10 inference(transitivity,[status(thm)],[9490, 9488])).
% 19.52/13.10 tff(9492,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9493,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 19.52/13.10 tff(9494,plain,
% 19.52/13.10 (~v95(constB85)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9493, 89, 9487, 9484])).
% 19.52/13.10 tff(9495,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9496,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9497,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85))),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 19.52/13.10 tff(9498,plain,
% 19.52/13.10 (v95(constB85) | (~v94(constB85))),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9497, 106, 9487])).
% 19.52/13.10 tff(9499,plain,
% 19.52/13.10 (~v94(constB85)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9498, 9494])).
% 19.52/13.10 tff(9500,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9501,plain,
% 19.52/13.10 (((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2)) <=> ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9502,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2)))),
% 19.52/13.10 inference(monotonicity,[status(thm)],[9501])).
% 19.52/13.10 tff(9503,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 19.52/13.10 inference(transitivity,[status(thm)],[9502, 9500])).
% 19.52/13.10 tff(9504,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9505,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9504, 9503])).
% 19.52/13.10 tff(9506,plain,
% 19.52/13.10 ((~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9505, 1339, 9487])).
% 19.52/13.10 tff(9507,plain,
% 19.52/13.10 ((~v84(constB84, bitIndex2)) | v84(constB85, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9506, 9499])).
% 19.52/13.10 tff(9508,plain,
% 19.52/13.10 (v84(constB85, bitIndex2)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9507, 9481])).
% 19.52/13.10 tff(9509,plain,
% 19.52/13.10 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB83)) | v124(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB83)) | v124(constB83, bitIndex1))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9510,plain,
% 19.52/13.10 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB83)) | v124(constB83, bitIndex1))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9511,plain,
% 19.52/13.10 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB83)) | v124(constB83, bitIndex1)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9510, 9509])).
% 19.52/13.10 tff(9512,plain,
% 19.52/13.10 (v124(constB83, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9511, 1809, 9401])).
% 19.52/13.10 tff(9513,plain,
% 19.52/13.10 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9514,plain,
% 19.52/13.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9515,plain,
% 19.52/13.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9514, 9513])).
% 19.52/13.10 tff(9516,plain,
% 19.52/13.10 ((~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9515, 804, 9413])).
% 19.52/13.10 tff(9517,plain,
% 19.52/13.10 (v121(constB83, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9516, 9512])).
% 19.52/13.10 tff(9518,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9519,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9520,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 19.52/13.10 tff(9521,plain,
% 19.52/13.10 ((~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9520, 819, 9425])).
% 19.52/13.10 tff(9522,plain,
% 19.52/13.10 (v123(constB84, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9521, 9517])).
% 19.52/13.10 tff(9523,plain,
% 19.52/13.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9524,plain,
% 19.52/13.10 ((v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1))) <=> (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9525,plain,
% 19.52/13.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84))))),
% 19.52/13.10 inference(monotonicity,[status(thm)],[9524])).
% 19.52/13.10 tff(9526,plain,
% 19.52/13.10 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 19.52/13.10 inference(transitivity,[status(thm)],[9525, 9523])).
% 19.52/13.10 tff(9527,plain,
% 19.52/13.10 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9528,plain,
% 19.52/13.10 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84))),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 19.52/13.10 tff(9529,plain,
% 19.52/13.10 (v84(constB84, bitIndex1) | (~v94(constB84))),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9528, 834, 9522])).
% 19.52/13.10 tff(9530,plain,
% 19.52/13.10 (v84(constB84, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9529, 9459])).
% 19.52/13.10 tff(9531,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9532,plain,
% 19.52/13.10 (((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1)) <=> ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9533,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1)))),
% 19.52/13.10 inference(monotonicity,[status(thm)],[9532])).
% 19.52/13.10 tff(9534,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 19.52/13.10 inference(transitivity,[status(thm)],[9533, 9531])).
% 19.52/13.10 tff(9535,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9536,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 19.52/13.10 tff(9537,plain,
% 19.52/13.10 ((~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9536, 852, 9487])).
% 19.52/13.10 tff(9538,plain,
% 19.52/13.10 ((~v84(constB84, bitIndex1)) | v84(constB85, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9537, 9499])).
% 19.52/13.10 tff(9539,plain,
% 19.52/13.10 (v84(constB85, bitIndex1)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9538, 9530])).
% 19.52/13.10 tff(9540,plain,
% 19.52/13.10 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB83)) | (~v124(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB83)) | (~v124(constB83, bitIndex0)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9541,plain,
% 19.52/13.10 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB83)) | (~v124(constB83, bitIndex0)))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9542,plain,
% 19.52/13.10 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB83)) | (~v124(constB83, bitIndex0))),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9541, 9540])).
% 19.52/13.10 tff(9543,plain,
% 19.52/13.10 (~v124(constB83, bitIndex0)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9542, 1850, 9401])).
% 19.52/13.10 tff(9544,plain,
% 19.52/13.10 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9545,plain,
% 19.52/13.10 ((v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0))) <=> ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9546,plain,
% 19.52/13.10 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0)))),
% 19.52/13.10 inference(monotonicity,[status(thm)],[9545])).
% 19.52/13.10 tff(9547,plain,
% 19.52/13.10 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 19.52/13.10 inference(transitivity,[status(thm)],[9546, 9544])).
% 19.52/13.10 tff(9548,plain,
% 19.52/13.10 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))),
% 19.52/13.10 inference(quant_inst,[status(thm)],[])).
% 19.52/13.10 tff(9549,plain,
% 19.52/13.10 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0)),
% 19.52/13.10 inference(modus_ponens,[status(thm)],[9548, 9547])).
% 19.52/13.10 tff(9550,plain,
% 19.52/13.10 ((~v121(constB83, bitIndex0)) | v124(constB83, bitIndex0)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9549, 885, 9413])).
% 19.52/13.10 tff(9551,plain,
% 19.52/13.10 (~v121(constB83, bitIndex0)),
% 19.52/13.10 inference(unit_resolution,[status(thm)],[9550, 9543])).
% 19.52/13.10 tff(9552,plain,
% 19.52/13.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))),
% 19.52/13.10 inference(rewrite,[status(thm)],[])).
% 19.52/13.10 tff(9553,plain,
% 19.52/13.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9554,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9553, 9552])).
% 19.52/13.11 tff(9555,plain,
% 19.52/13.11 (v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9554, 903, 9425])).
% 19.52/13.11 tff(9556,plain,
% 19.52/13.11 (~v123(constB84, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9555, 9551])).
% 19.52/13.11 tff(9557,plain,
% 19.52/13.11 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9558,plain,
% 19.52/13.11 (((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0)) <=> ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9559,plain,
% 19.52/13.11 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84))))),
% 19.52/13.11 inference(monotonicity,[status(thm)],[9558])).
% 19.52/13.11 tff(9560,plain,
% 19.52/13.11 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 19.52/13.11 inference(transitivity,[status(thm)],[9559, 9557])).
% 19.52/13.11 tff(9561,plain,
% 19.52/13.11 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9562,plain,
% 19.52/13.11 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 19.52/13.11 tff(9563,plain,
% 19.52/13.11 ((~v84(constB84, bitIndex0)) | (~v94(constB84))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9562, 918, 9556])).
% 19.52/13.11 tff(9564,plain,
% 19.52/13.11 (~v84(constB84, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9563, 9459])).
% 19.52/13.11 tff(9565,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9566,plain,
% 19.52/13.11 (((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0))) <=> (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9567,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0))))),
% 19.52/13.11 inference(monotonicity,[status(thm)],[9566])).
% 19.52/13.11 tff(9568,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 19.52/13.11 inference(transitivity,[status(thm)],[9567, 9565])).
% 19.52/13.11 tff(9569,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9570,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 19.52/13.11 tff(9571,plain,
% 19.52/13.11 (v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9570, 163, 9487])).
% 19.52/13.11 tff(9572,plain,
% 19.52/13.11 (v84(constB84, bitIndex0) | (~v84(constB85, bitIndex0))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9571, 9499])).
% 19.52/13.11 tff(9573,plain,
% 19.52/13.11 (~v84(constB85, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9572, 9564])).
% 19.52/13.11 tff(9574,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9575,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9576,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85)),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9575, 9574])).
% 19.52/13.11 tff(9577,plain,
% 19.52/13.11 (v119(constB85)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9576, 1894, 9573, 9539, 9508])).
% 19.52/13.11 tff(9578,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB85) | (~v119(constB85)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB85) | (~v119(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9579,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB85) | (~v119(constB85)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9580,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB85) | (~v119(constB85))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 19.52/13.11 tff(9581,plain,
% 19.52/13.11 (v107(constB85)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9580, 1905, 9577])).
% 19.52/13.11 tff(9582,assumption,(v26(constB85)), introduced(assumption)).
% 19.52/13.11 tff(9583,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9584,plain,
% 19.52/13.11 ($false),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9583, 18, 9582])).
% 19.52/13.11 tff(9585,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.11 tff(9586,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | v106(constB85) | (~v107(constB85)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | v106(constB85) | (~v107(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9587,plain,
% 19.52/13.11 ((v26(constB85) | (~v107(constB85)) | v106(constB85)) <=> (v26(constB85) | v106(constB85) | (~v107(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9588,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | v106(constB85) | (~v107(constB85))))),
% 19.52/13.11 inference(monotonicity,[status(thm)],[9587])).
% 19.52/13.11 tff(9589,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | v106(constB85) | (~v107(constB85)))),
% 19.52/13.11 inference(transitivity,[status(thm)],[9588, 9586])).
% 19.52/13.11 tff(9590,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9591,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | v106(constB85) | (~v107(constB85))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9590, 9589])).
% 19.52/13.11 tff(9592,plain,
% 19.52/13.11 (v106(constB85) | (~v107(constB85))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9591, 264, 9585])).
% 19.52/13.11 tff(9593,plain,
% 19.52/13.11 (v106(constB85)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9592, 9581])).
% 19.52/13.11 tff(9594,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB85) | (~v106(constB85)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB85) | (~v106(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9595,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB85) | (~v106(constB85)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9596,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB85) | (~v106(constB85))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 19.52/13.11 tff(9597,plain,
% 19.52/13.11 (v102(constB85)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9596, 276, 9593])).
% 19.52/13.11 tff(9598,plain,
% 19.52/13.11 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9599,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 19.52/13.11 tff(9600,plain,
% 19.52/13.11 (nextState(constB85, constB86)),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9599, 9598])).
% 19.52/13.11 tff(9601,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9602,plain,
% 19.52/13.11 (((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9603,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))))),
% 19.52/13.11 inference(monotonicity,[status(thm)],[9602])).
% 19.52/13.11 tff(9604,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 19.52/13.11 inference(transitivity,[status(thm)],[9603, 9601])).
% 19.52/13.11 tff(9605,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9606,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 19.52/13.11 tff(9607,plain,
% 19.52/13.11 (v104(constB86) | (~v102(constB85))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9606, 293, 9600])).
% 19.52/13.11 tff(9608,plain,
% 19.52/13.11 (v104(constB86)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9607, 9597])).
% 19.52/13.11 tff(9609,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9610,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9611,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9610, 9609])).
% 19.52/13.11 tff(9612,plain,
% 19.52/13.11 (~v98(constB86)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9611, 311, 9600, 9484])).
% 19.52/13.11 tff(9613,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9614,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9615,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86)),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 19.52/13.11 tff(9616,plain,
% 19.52/13.11 (v96(constB86) | v98(constB86)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9615, 325, 9600])).
% 19.52/13.11 tff(9617,plain,
% 19.52/13.11 (v96(constB86)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9616, 9612])).
% 19.52/13.11 tff(9618,plain,
% 19.52/13.11 (v1(constB86) <=> v1(constB86)),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9619,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 19.52/13.11 tff(9620,plain,
% 19.52/13.11 (v1(constB86)),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 19.52/13.11 tff(9621,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9622,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9623,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 19.52/13.11 tff(9624,plain,
% 19.52/13.11 (v95(constB86) | (~v96(constB86))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9623, 343, 9600, 9620])).
% 19.52/13.11 tff(9625,plain,
% 19.52/13.11 (v95(constB86)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9624, 9617])).
% 19.52/13.11 tff(9626,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9627,plain,
% 19.52/13.11 (((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86)) <=> ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9628,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86))))),
% 19.52/13.11 inference(monotonicity,[status(thm)],[9627])).
% 19.52/13.11 tff(9629,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 19.52/13.11 inference(transitivity,[status(thm)],[9628, 9626])).
% 19.52/13.11 tff(9630,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9631,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 19.52/13.11 tff(9632,plain,
% 19.52/13.11 (v94(constB86) | (~v95(constB86)) | (~v104(constB86))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9631, 358, 9600])).
% 19.52/13.11 tff(9633,plain,
% 19.52/13.11 (v94(constB86) | (~v104(constB86))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9632, 9625])).
% 19.52/13.11 tff(9634,plain,
% 19.52/13.11 (v94(constB86)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9633, 9608])).
% 19.52/13.11 tff(9635,plain,
% 19.52/13.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v145(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v145(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9636,plain,
% 19.52/13.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v145(constB85)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9637,plain,
% 19.52/13.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v145(constB85))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9636, 9635])).
% 19.52/13.11 tff(9638,plain,
% 19.52/13.11 (~v145(constB85)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9637, 2012, 9539])).
% 19.52/13.11 tff(9639,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB81, bitIndex0) | (~v118(constB81)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB81, bitIndex0) | (~v118(constB81)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9640,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB81, bitIndex0) | (~v118(constB81)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9641,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB81, bitIndex0) | (~v118(constB81))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 19.52/13.11 tff(9642,plain,
% 19.52/13.11 (~v118(constB81)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9641, 4962, 9206])).
% 19.52/13.11 tff(9643,assumption,(v116(constB85)), introduced(assumption)).
% 19.52/13.11 tff(9644,plain,
% 19.52/13.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v116(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v116(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9645,plain,
% 19.52/13.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v116(constB85)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9646,plain,
% 19.52/13.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v116(constB85))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9645, 9644])).
% 19.52/13.11 tff(9647,plain,
% 19.52/13.11 (~v84(constB85, bitIndex2)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9646, 1976, 9643])).
% 19.52/13.11 tff(9648,plain,
% 19.52/13.11 (~v84(constB84, bitIndex2)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9507, 9647])).
% 19.52/13.11 tff(9649,plain,
% 19.52/13.11 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> (v84(VarCurr, bitIndex1) | (~v116(VarCurr))))),
% 19.52/13.11 inference(bind,[status(th)],[])).
% 19.52/13.11 tff(9650,plain,
% 19.52/13.11 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 19.52/13.11 inference(quant_intro,[status(thm)],[9649])).
% 19.52/13.11 tff(9651,plain,
% 19.52/13.11 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9652,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 19.52/13.11 tff(9653,plain,
% 19.52/13.11 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 19.52/13.11 tff(9654,plain,(
% 19.52/13.11 ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 19.52/13.11 inference(skolemize,[status(sab)],[9653])).
% 19.52/13.11 tff(9655,plain,
% 19.52/13.11 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9654, 9650])).
% 19.52/13.11 tff(9656,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB85, bitIndex1) | (~v116(constB85)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB85, bitIndex1) | (~v116(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9657,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB85, bitIndex1) | (~v116(constB85)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9658,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB85, bitIndex1) | (~v116(constB85))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9657, 9656])).
% 19.52/13.11 tff(9659,plain,
% 19.52/13.11 (v84(constB85, bitIndex1)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9658, 9655, 9643])).
% 19.52/13.11 tff(9660,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex1)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9661,plain,
% 19.52/13.11 (((~nextState(constB84, constB85)) | v84(constB84, bitIndex1) | v94(constB85) | (~v84(constB85, bitIndex1))) <=> (v84(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex1)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9662,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex1) | v94(constB85) | (~v84(constB85, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex1))))),
% 19.52/13.11 inference(monotonicity,[status(thm)],[9661])).
% 19.52/13.11 tff(9663,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex1) | v94(constB85) | (~v84(constB85, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex1)))),
% 19.52/13.11 inference(transitivity,[status(thm)],[9662, 9660])).
% 19.52/13.11 tff(9664,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex1) | v94(constB85) | (~v84(constB85, bitIndex1)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9665,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex1))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 19.52/13.11 tff(9666,plain,
% 19.52/13.11 (v84(constB84, bitIndex1) | v94(constB85) | (~v84(constB85, bitIndex1))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9665, 142, 9487])).
% 19.52/13.11 tff(9667,plain,
% 19.52/13.11 (v84(constB84, bitIndex1) | (~v84(constB85, bitIndex1))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9666, 9499])).
% 19.52/13.11 tff(9668,plain,
% 19.52/13.11 (v84(constB84, bitIndex1)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9667, 9659])).
% 19.52/13.11 tff(9669,assumption,(v84(constB75, bitIndex0)), introduced(assumption)).
% 19.52/13.11 tff(9670,assumption,(~v118(constB81)), introduced(assumption)).
% 19.52/13.11 tff(9671,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB85, bitIndex0) | (~v116(constB85)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB85, bitIndex0) | (~v116(constB85)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9672,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB85, bitIndex0) | (~v116(constB85)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9673,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB85, bitIndex0) | (~v116(constB85))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 19.52/13.11 tff(9674,plain,
% 19.52/13.11 (v84(constB85, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9673, 4939, 9643])).
% 19.52/13.11 tff(9675,plain,
% 19.52/13.11 (v84(constB84, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9572, 9674])).
% 19.52/13.11 tff(9676,assumption,(v172(constB79)), introduced(assumption)).
% 19.52/13.11 tff(9677,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB79) | (~v172(constB79)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB79) | (~v172(constB79)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9678,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB79) | (~v172(constB79)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9679,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB79) | (~v172(constB79))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9678, 9677])).
% 19.52/13.11 tff(9680,plain,
% 19.52/13.11 (v109(constB79)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9679, 1457, 9676])).
% 19.52/13.11 tff(9681,plain,
% 19.52/13.11 (v108(constB79)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9031, 239, 9680])).
% 19.52/13.11 tff(9682,plain,
% 19.52/13.11 (v107(constB79)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9035, 250, 9681])).
% 19.52/13.11 tff(9683,plain,
% 19.52/13.11 (v106(constB79)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9047, 9682])).
% 19.52/13.11 tff(9684,plain,
% 19.52/13.11 (v102(constB79)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9051, 276, 9683])).
% 19.52/13.11 tff(9685,plain,
% 19.52/13.11 (v104(constB80)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9062, 9684])).
% 19.52/13.11 tff(9686,plain,
% 19.52/13.11 (v94(constB80)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9088, 9685])).
% 19.52/13.11 tff(9687,plain,
% 19.52/13.11 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB79)) | v124(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB79)) | v124(constB79, bitIndex2))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9688,plain,
% 19.52/13.11 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB79)) | v124(constB79, bitIndex2))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9689,plain,
% 19.52/13.11 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB79)) | v124(constB79, bitIndex2)),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 19.52/13.11 tff(9690,plain,
% 19.52/13.11 (v124(constB79, bitIndex2)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9689, 1528, 9676])).
% 19.52/13.11 tff(9691,plain,
% 19.52/13.11 (v121(constB79, bitIndex2)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9097, 9690])).
% 19.52/13.11 tff(9692,plain,
% 19.52/13.11 (v123(constB80, bitIndex2)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9102, 9691])).
% 19.52/13.11 tff(9693,plain,
% 19.52/13.11 (v84(constB80, bitIndex2) | (~v94(constB80))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9109, 1303, 9692])).
% 19.52/13.11 tff(9694,plain,
% 19.52/13.11 (v84(constB80, bitIndex2)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9693, 9686])).
% 19.52/13.11 tff(9695,plain,
% 19.52/13.11 (v84(constB81, bitIndex2)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9137, 9694])).
% 19.52/13.11 tff(9696,plain,
% 19.52/13.11 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB79)) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB79)) | v124(constB79, bitIndex0))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9697,plain,
% 19.52/13.11 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB79)) | v124(constB79, bitIndex0))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9698,plain,
% 19.52/13.11 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB79)) | v124(constB79, bitIndex0)),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9697, 9696])).
% 19.52/13.11 tff(9699,plain,
% 19.52/13.11 (v124(constB79, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9698, 1631, 9676])).
% 19.52/13.11 tff(9700,plain,
% 19.52/13.11 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9701,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9702,plain,
% 19.52/13.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB79) | (~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0)),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9701, 9700])).
% 19.52/13.11 tff(9703,plain,
% 19.52/13.11 ((~v124(constB79, bitIndex0)) | v121(constB79, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9702, 557, 9040])).
% 19.52/13.11 tff(9704,plain,
% 19.52/13.11 (v121(constB79, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9703, 9699])).
% 19.52/13.11 tff(9705,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9706,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9707,plain,
% 19.52/13.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0)),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9706, 9705])).
% 19.52/13.11 tff(9708,plain,
% 19.52/13.11 ((~v121(constB79, bitIndex0)) | v123(constB80, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9707, 572, 9055])).
% 19.52/13.11 tff(9709,plain,
% 19.52/13.11 (v123(constB80, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9708, 9704])).
% 19.52/13.11 tff(9710,plain,
% 19.52/13.11 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9711,plain,
% 19.52/13.11 ((v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0))) <=> (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 19.52/13.11 inference(rewrite,[status(thm)],[])).
% 19.52/13.11 tff(9712,plain,
% 19.52/13.11 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80))))),
% 19.52/13.11 inference(monotonicity,[status(thm)],[9711])).
% 19.52/13.11 tff(9713,plain,
% 19.52/13.11 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80)))),
% 19.52/13.11 inference(transitivity,[status(thm)],[9712, 9710])).
% 19.52/13.11 tff(9714,plain,
% 19.52/13.11 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~v94(constB80)) | (~v123(constB80, bitIndex0)))),
% 19.52/13.11 inference(quant_inst,[status(thm)],[])).
% 19.52/13.11 tff(9715,plain,
% 19.52/13.11 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~v123(constB80, bitIndex0)) | (~v94(constB80))),
% 19.52/13.11 inference(modus_ponens,[status(thm)],[9714, 9713])).
% 19.52/13.11 tff(9716,plain,
% 19.52/13.11 (v84(constB80, bitIndex0) | (~v94(constB80))),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9715, 587, 9709])).
% 19.52/13.11 tff(9717,plain,
% 19.52/13.11 (v84(constB80, bitIndex0)),
% 19.52/13.11 inference(unit_resolution,[status(thm)],[9716, 9686])).
% 19.52/13.11 tff(9718,plain,
% 19.52/13.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9719,plain,
% 19.52/13.12 (((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0)) <=> ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9720,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0)))),
% 19.52/13.12 inference(monotonicity,[status(thm)],[9719])).
% 19.52/13.12 tff(9721,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0))),
% 19.52/13.12 inference(transitivity,[status(thm)],[9720, 9718])).
% 19.52/13.12 tff(9722,plain,
% 19.52/13.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9723,plain,
% 19.52/13.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex0)),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 19.52/13.12 tff(9724,plain,
% 19.52/13.12 ((~v84(constB80, bitIndex0)) | v94(constB81) | v84(constB81, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9723, 605, 9117])).
% 19.52/13.12 tff(9725,plain,
% 19.52/13.12 ((~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9724, 9129])).
% 19.52/13.12 tff(9726,plain,
% 19.52/13.12 (v84(constB81, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9725, 9717])).
% 19.52/13.12 tff(9727,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB79)) | (~v124(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB79)) | (~v124(constB79, bitIndex1)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9728,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB79)) | (~v124(constB79, bitIndex1)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9729,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB79)) | (~v124(constB79, bitIndex1))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9728, 9727])).
% 19.52/13.12 tff(9730,plain,
% 19.52/13.12 (~v124(constB79, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9729, 1587, 9676])).
% 19.52/13.12 tff(9731,plain,
% 19.52/13.12 (~v121(constB79, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9149, 9730])).
% 19.52/13.12 tff(9732,plain,
% 19.52/13.12 (~v123(constB80, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9154, 9731])).
% 19.52/13.12 tff(9733,plain,
% 19.52/13.12 ((~v84(constB80, bitIndex1)) | (~v94(constB80))),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9161, 516, 9732])).
% 19.52/13.12 tff(9734,plain,
% 19.52/13.12 (~v84(constB80, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9733, 9686])).
% 19.52/13.12 tff(9735,plain,
% 19.52/13.12 (~v84(constB81, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9171, 9734])).
% 19.52/13.12 tff(9736,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9737,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9738,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81)),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9737, 9736])).
% 19.52/13.12 tff(9739,plain,
% 19.52/13.12 ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2))),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9738, 1672, 9670])).
% 19.52/13.12 tff(9740,plain,
% 19.52/13.12 ($false),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9739, 9735, 9726, 9695])).
% 19.52/13.12 tff(9741,plain,((~v172(constB79)) | v118(constB81)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.12 tff(9742,plain,
% 19.52/13.12 (~v172(constB79)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9741, 9670])).
% 19.52/13.12 tff(9743,assumption,(v84(constB84, bitIndex1)), introduced(assumption)).
% 19.52/13.12 tff(9744,assumption,(v84(constB84, bitIndex0)), introduced(assumption)).
% 19.52/13.12 tff(9745,assumption,(v118(constB79)), introduced(assumption)).
% 19.52/13.12 tff(9746,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB79) | (~v118(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB79) | (~v118(constB79)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9747,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB79) | (~v118(constB79)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9748,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB79) | (~v118(constB79))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 19.52/13.12 tff(9749,plain,
% 19.52/13.12 (v108(constB79)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9748, 1683, 9745])).
% 19.52/13.12 tff(9750,plain,
% 19.52/13.12 (v107(constB79)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9035, 250, 9749])).
% 19.52/13.12 tff(9751,plain,
% 19.52/13.12 (v106(constB79)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9047, 9750])).
% 19.52/13.12 tff(9752,plain,
% 19.52/13.12 (v102(constB79)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9051, 276, 9751])).
% 19.52/13.12 tff(9753,plain,
% 19.52/13.12 (v104(constB80)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9062, 9752])).
% 19.52/13.12 tff(9754,plain,
% 19.52/13.12 (v94(constB80)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9088, 9753])).
% 19.52/13.12 tff(9755,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB79)) | v124(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB79)) | v124(constB79, bitIndex1))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9756,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB79)) | v124(constB79, bitIndex1))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9757,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB79)) | v124(constB79, bitIndex1)),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 19.52/13.12 tff(9758,plain,
% 19.52/13.12 (v124(constB79, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9757, 1809, 9745])).
% 19.52/13.12 tff(9759,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9760,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9761,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB79) | (~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1)),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9760, 9759])).
% 19.52/13.12 tff(9762,plain,
% 19.52/13.12 ((~v124(constB79, bitIndex1)) | v121(constB79, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9761, 804, 9040])).
% 19.52/13.12 tff(9763,plain,
% 19.52/13.12 (v121(constB79, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9762, 9758])).
% 19.52/13.12 tff(9764,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9765,plain,
% 19.52/13.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9766,plain,
% 19.52/13.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1)),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9765, 9764])).
% 19.52/13.12 tff(9767,plain,
% 19.52/13.12 ((~v121(constB79, bitIndex1)) | v123(constB80, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9766, 819, 9055])).
% 19.52/13.12 tff(9768,plain,
% 19.52/13.12 (v123(constB80, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9767, 9763])).
% 19.52/13.12 tff(9769,plain,
% 19.52/13.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9770,plain,
% 19.52/13.12 ((v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1))) <=> (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9771,plain,
% 19.52/13.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80))))),
% 19.52/13.12 inference(monotonicity,[status(thm)],[9770])).
% 19.52/13.12 tff(9772,plain,
% 19.52/13.12 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80)))),
% 19.52/13.12 inference(transitivity,[status(thm)],[9771, 9769])).
% 19.52/13.12 tff(9773,plain,
% 19.52/13.12 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~v94(constB80)) | (~v123(constB80, bitIndex1)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9774,plain,
% 19.52/13.12 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~v123(constB80, bitIndex1)) | (~v94(constB80))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 19.52/13.12 tff(9775,plain,
% 19.52/13.12 (v84(constB80, bitIndex1) | (~v94(constB80))),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9774, 834, 9768])).
% 19.52/13.12 tff(9776,plain,
% 19.52/13.12 (v84(constB80, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9775, 9754])).
% 19.52/13.12 tff(9777,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9778,plain,
% 19.52/13.12 (((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1)) <=> ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9779,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1)))),
% 19.52/13.12 inference(monotonicity,[status(thm)],[9778])).
% 19.52/13.12 tff(9780,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1))),
% 19.52/13.12 inference(transitivity,[status(thm)],[9779, 9777])).
% 19.52/13.12 tff(9781,plain,
% 19.52/13.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9782,plain,
% 19.52/13.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex1)),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 19.52/13.12 tff(9783,plain,
% 19.52/13.12 ((~v84(constB80, bitIndex1)) | v94(constB81) | v84(constB81, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9782, 852, 9117])).
% 19.52/13.12 tff(9784,plain,
% 19.52/13.12 ((~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9783, 9129])).
% 19.52/13.12 tff(9785,plain,
% 19.52/13.12 (v84(constB81, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9784, 9776])).
% 19.52/13.12 tff(9786,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v172(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v172(constB81)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9787,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v172(constB81)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9788,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v172(constB81))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 19.52/13.12 tff(9789,plain,
% 19.52/13.12 (~v172(constB81)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9788, 2023, 9785])).
% 19.52/13.12 tff(9790,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB79)) | v124(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB79)) | v124(constB79, bitIndex2))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9791,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB79)) | v124(constB79, bitIndex2))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9792,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB79)) | v124(constB79, bitIndex2)),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9791, 9790])).
% 19.52/13.12 tff(9793,plain,
% 19.52/13.12 (v124(constB79, bitIndex2)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9792, 1750, 9745])).
% 19.52/13.12 tff(9794,plain,
% 19.52/13.12 (v121(constB79, bitIndex2)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9097, 9793])).
% 19.52/13.12 tff(9795,plain,
% 19.52/13.12 (v123(constB80, bitIndex2)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9102, 9794])).
% 19.52/13.12 tff(9796,plain,
% 19.52/13.12 (v84(constB80, bitIndex2) | (~v94(constB80))),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9109, 1303, 9795])).
% 19.52/13.12 tff(9797,plain,
% 19.52/13.12 (v84(constB80, bitIndex2)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9796, 9754])).
% 19.52/13.12 tff(9798,plain,
% 19.52/13.12 (v84(constB81, bitIndex2)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9137, 9797])).
% 19.52/13.12 tff(9799,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB81, bitIndex2)) | (~v116(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB81, bitIndex2)) | (~v116(constB81)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9800,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB81, bitIndex2)) | (~v116(constB81)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9801,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB81, bitIndex2)) | (~v116(constB81))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9800, 9799])).
% 19.52/13.12 tff(9802,plain,
% 19.52/13.12 (~v116(constB81)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9801, 1976, 9798])).
% 19.52/13.12 tff(9803,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB81, bitIndex2)) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB81, bitIndex2)) | (~v115(constB81)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9804,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB81, bitIndex2)) | (~v115(constB81)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9805,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB81, bitIndex2)) | (~v115(constB81))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9804, 9803])).
% 19.52/13.12 tff(9806,plain,
% 19.52/13.12 (~v115(constB81)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9805, 1965, 9798])).
% 19.52/13.12 tff(9807,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v145(constB81)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9808,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v145(constB81)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9809,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v145(constB81))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9808, 9807])).
% 19.52/13.12 tff(9810,plain,
% 19.52/13.12 (~v145(constB81)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9809, 2012, 9785])).
% 19.52/13.12 tff(9811,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB81)) | (~v84(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB81)) | (~v84(constB81, bitIndex1)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9812,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB81)) | (~v84(constB81, bitIndex1)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9813,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB81)) | (~v84(constB81, bitIndex1))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9812, 9811])).
% 19.52/13.12 tff(9814,plain,
% 19.52/13.12 (~v113(constB81)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9813, 1990, 9785])).
% 19.52/13.12 tff(9815,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9816,plain,
% 19.52/13.12 ((v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~v124(constB81, bitIndex1))) <=> (v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9817,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1))))),
% 19.52/13.12 inference(monotonicity,[status(thm)],[9816])).
% 19.52/13.12 tff(9818,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1)))),
% 19.52/13.12 inference(transitivity,[status(thm)],[9817, 9815])).
% 19.52/13.12 tff(9819,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~v124(constB81, bitIndex1)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9820,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9819, 9818])).
% 19.52/13.12 tff(9821,plain,
% 19.52/13.12 (~v124(constB81, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9820, 2102, 9814, 9810, 9806, 9802, 9789, 9670])).
% 19.52/13.12 tff(9822,plain,
% 19.52/13.12 (~v121(constB81, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9343, 9821])).
% 19.52/13.12 tff(9823,plain,
% 19.52/13.12 (~v123(constB82, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9348, 9822])).
% 19.52/13.12 tff(9824,plain,
% 19.52/13.12 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB79)) | (~v124(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB79)) | (~v124(constB79, bitIndex0)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9825,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB79)) | (~v124(constB79, bitIndex0)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9826,plain,
% 19.52/13.12 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB79)) | (~v124(constB79, bitIndex0))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9825, 9824])).
% 19.52/13.12 tff(9827,plain,
% 19.52/13.12 (~v124(constB79, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9826, 1850, 9745])).
% 19.52/13.12 tff(9828,plain,
% 19.52/13.12 (~v121(constB79, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9183, 9827])).
% 19.52/13.12 tff(9829,plain,
% 19.52/13.12 (~v123(constB80, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9188, 9828])).
% 19.52/13.12 tff(9830,plain,
% 19.52/13.12 ((~v84(constB80, bitIndex0)) | (~v94(constB80))),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9195, 918, 9829])).
% 19.52/13.12 tff(9831,plain,
% 19.52/13.12 (~v84(constB80, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9830, 9754])).
% 19.52/13.12 tff(9832,plain,
% 19.52/13.12 (~v84(constB81, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9205, 9831])).
% 19.52/13.12 tff(9833,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)) | v119(constB81))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)) | v119(constB81))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9834,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)) | v119(constB81))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9835,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)) | v119(constB81)),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 19.52/13.12 tff(9836,plain,
% 19.52/13.12 (v119(constB81)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9835, 1894, 9832, 9785, 9798])).
% 19.52/13.12 tff(9837,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB81) | (~v119(constB81)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB81) | (~v119(constB81)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9838,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB81) | (~v119(constB81)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9839,plain,
% 19.52/13.12 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB81) | (~v119(constB81))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9838, 9837])).
% 19.52/13.12 tff(9840,plain,
% 19.52/13.12 (v107(constB81)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9839, 1905, 9836])).
% 19.52/13.12 tff(9841,plain,
% 19.52/13.12 (v102(constB81)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9241, 9840])).
% 19.52/13.12 tff(9842,plain,
% 19.52/13.12 (v104(constB82)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9252, 9841])).
% 19.52/13.12 tff(9843,plain,
% 19.52/13.12 (v94(constB82)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9278, 9842])).
% 19.52/13.12 tff(9844,plain,
% 19.52/13.12 (~v84(constB82, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9355, 516, 9843, 9823])).
% 19.52/13.12 tff(9845,plain,
% 19.52/13.12 (~v84(constB83, bitIndex1)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9365, 9844])).
% 19.52/13.12 tff(9846,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v94(constB84) | (~v84(constB84, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v94(constB84) | (~v84(constB84, bitIndex1)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9847,plain,
% 19.52/13.12 (((~nextState(constB83, constB84)) | v84(constB83, bitIndex1) | v94(constB84) | (~v84(constB84, bitIndex1))) <=> (v84(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v94(constB84) | (~v84(constB84, bitIndex1)))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9848,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v84(constB83, bitIndex1) | v94(constB84) | (~v84(constB84, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v94(constB84) | (~v84(constB84, bitIndex1))))),
% 19.52/13.12 inference(monotonicity,[status(thm)],[9847])).
% 19.52/13.12 tff(9849,plain,
% 19.52/13.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v84(constB83, bitIndex1) | v94(constB84) | (~v84(constB84, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v94(constB84) | (~v84(constB84, bitIndex1)))),
% 19.52/13.12 inference(transitivity,[status(thm)],[9848, 9846])).
% 19.52/13.12 tff(9850,plain,
% 19.52/13.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v84(constB83, bitIndex1) | v94(constB84) | (~v84(constB84, bitIndex1)))),
% 19.52/13.12 inference(quant_inst,[status(thm)],[])).
% 19.52/13.12 tff(9851,plain,
% 19.52/13.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB83, bitIndex1) | (~nextState(constB83, constB84)) | v94(constB84) | (~v84(constB84, bitIndex1))),
% 19.52/13.12 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 19.52/13.12 tff(9852,plain,
% 19.52/13.12 (v84(constB83, bitIndex1) | v94(constB84) | (~v84(constB84, bitIndex1))),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9851, 142, 9425])).
% 19.52/13.12 tff(9853,plain,
% 19.52/13.12 (v94(constB84)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9852, 9845, 9743])).
% 19.52/13.12 tff(9854,plain,
% 19.52/13.12 (v123(constB84, bitIndex0) | (~v94(constB84))),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9562, 918, 9744])).
% 19.52/13.12 tff(9855,plain,
% 19.52/13.12 (v123(constB84, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9854, 9853])).
% 19.52/13.12 tff(9856,plain,
% 19.52/13.12 (v121(constB83, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9555, 9855])).
% 19.52/13.12 tff(9857,plain,
% 19.52/13.12 (v124(constB83, bitIndex0)),
% 19.52/13.12 inference(unit_resolution,[status(thm)],[9550, 9856])).
% 19.52/13.12 tff(9858,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB81, bitIndex2)) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB81, bitIndex2)) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9859,plain,
% 19.52/13.12 ((v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~v124(constB81, bitIndex2))) <=> ((~v124(constB81, bitIndex2)) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81))),
% 19.52/13.12 inference(rewrite,[status(thm)],[])).
% 19.52/13.12 tff(9860,plain,
% 19.52/13.12 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~v124(constB81, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB81, bitIndex2)) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81)))),
% 19.52/13.13 inference(monotonicity,[status(thm)],[9859])).
% 19.52/13.13 tff(9861,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~v124(constB81, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB81, bitIndex2)) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81))),
% 19.52/13.13 inference(transitivity,[status(thm)],[9860, 9858])).
% 19.52/13.13 tff(9862,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~v124(constB81, bitIndex2)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9863,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB81, bitIndex2)) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81)),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 19.52/13.13 tff(9864,plain,
% 19.52/13.13 (~v124(constB81, bitIndex2)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9863, 2037, 9814, 9810, 9806, 9802, 9789, 9670])).
% 19.52/13.13 tff(9865,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB81, bitIndex2)) | v26(constB81) | v124(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB81, bitIndex2)) | v26(constB81) | v124(constB81, bitIndex2))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9866,plain,
% 19.52/13.13 ((v26(constB81) | v124(constB81, bitIndex2) | (~v121(constB81, bitIndex2))) <=> ((~v121(constB81, bitIndex2)) | v26(constB81) | v124(constB81, bitIndex2))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9867,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB81) | v124(constB81, bitIndex2) | (~v121(constB81, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB81, bitIndex2)) | v26(constB81) | v124(constB81, bitIndex2)))),
% 19.52/13.13 inference(monotonicity,[status(thm)],[9866])).
% 19.52/13.13 tff(9868,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB81) | v124(constB81, bitIndex2) | (~v121(constB81, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB81, bitIndex2)) | v26(constB81) | v124(constB81, bitIndex2))),
% 19.52/13.13 inference(transitivity,[status(thm)],[9867, 9865])).
% 19.52/13.13 tff(9869,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB81) | v124(constB81, bitIndex2) | (~v121(constB81, bitIndex2)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9870,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB81, bitIndex2)) | v26(constB81) | v124(constB81, bitIndex2)),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9869, 9868])).
% 19.52/13.13 tff(9871,plain,
% 19.52/13.13 ((~v121(constB81, bitIndex2)) | v124(constB81, bitIndex2)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9870, 391, 9287])).
% 19.52/13.13 tff(9872,plain,
% 19.52/13.13 (~v121(constB81, bitIndex2)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9871, 9864])).
% 19.52/13.13 tff(9873,plain,
% 19.52/13.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex2) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex2) | (~v123(constB82, bitIndex2)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9874,plain,
% 19.52/13.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex2) | (~v123(constB82, bitIndex2)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9875,plain,
% 19.52/13.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex2) | (~v123(constB82, bitIndex2))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9874, 9873])).
% 19.52/13.13 tff(9876,plain,
% 19.52/13.13 (v121(constB81, bitIndex2) | (~v123(constB82, bitIndex2))),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9875, 409, 9245])).
% 19.52/13.13 tff(9877,plain,
% 19.52/13.13 (~v123(constB82, bitIndex2)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9876, 9872])).
% 19.52/13.13 tff(9878,plain,
% 19.52/13.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2) | (~v94(constB82)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2) | (~v94(constB82)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9879,plain,
% 19.52/13.13 (((~v84(constB82, bitIndex2)) | (~v94(constB82)) | v123(constB82, bitIndex2)) <=> ((~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2) | (~v94(constB82)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9880,plain,
% 19.52/13.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~v94(constB82)) | v123(constB82, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2) | (~v94(constB82))))),
% 19.52/13.13 inference(monotonicity,[status(thm)],[9879])).
% 19.52/13.13 tff(9881,plain,
% 19.52/13.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~v94(constB82)) | v123(constB82, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2) | (~v94(constB82)))),
% 19.52/13.13 inference(transitivity,[status(thm)],[9880, 9878])).
% 19.52/13.13 tff(9882,plain,
% 19.52/13.13 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~v94(constB82)) | v123(constB82, bitIndex2))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9883,plain,
% 19.52/13.13 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2) | (~v94(constB82))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9882, 9881])).
% 19.52/13.13 tff(9884,plain,
% 19.52/13.13 (~v84(constB82, bitIndex2)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9883, 424, 9843, 9877])).
% 19.52/13.13 tff(9885,plain,
% 19.52/13.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex2)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9886,plain,
% 19.52/13.13 (((~nextState(constB82, constB83)) | v84(constB82, bitIndex2) | v94(constB83) | (~v84(constB83, bitIndex2))) <=> (v84(constB82, bitIndex2) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex2)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9887,plain,
% 19.52/13.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex2) | v94(constB83) | (~v84(constB83, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex2))))),
% 19.52/13.13 inference(monotonicity,[status(thm)],[9886])).
% 19.52/13.13 tff(9888,plain,
% 19.52/13.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex2) | v94(constB83) | (~v84(constB83, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex2)))),
% 19.52/13.13 inference(transitivity,[status(thm)],[9887, 9885])).
% 19.52/13.13 tff(9889,plain,
% 19.52/13.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex2) | v94(constB83) | (~v84(constB83, bitIndex2)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9890,plain,
% 19.52/13.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex2))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9889, 9888])).
% 19.52/13.13 tff(9891,plain,
% 19.52/13.13 (v84(constB82, bitIndex2) | v94(constB83) | (~v84(constB83, bitIndex2))),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9890, 121, 9311])).
% 19.52/13.13 tff(9892,plain,
% 19.52/13.13 (v84(constB82, bitIndex2) | (~v84(constB83, bitIndex2))),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9891, 9323])).
% 19.52/13.13 tff(9893,plain,
% 19.52/13.13 (~v84(constB83, bitIndex2)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9892, 9884])).
% 19.52/13.13 tff(9894,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | v124(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | v124(constB81, bitIndex0))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9895,plain,
% 19.52/13.13 ((v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | v124(constB81, bitIndex0)) <=> (v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | v124(constB81, bitIndex0))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9896,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | v124(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | v124(constB81, bitIndex0)))),
% 19.52/13.13 inference(monotonicity,[status(thm)],[9895])).
% 19.52/13.13 tff(9897,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | v124(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | v124(constB81, bitIndex0))),
% 19.52/13.13 inference(transitivity,[status(thm)],[9896, 9894])).
% 19.52/13.13 tff(9898,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | v124(constB81, bitIndex0))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9899,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB81) | v145(constB81) | v118(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | v124(constB81, bitIndex0)),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 19.52/13.13 tff(9900,plain,
% 19.52/13.13 (v124(constB81, bitIndex0)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9899, 2149, 9814, 9810, 9806, 9802, 9789, 9670])).
% 19.52/13.13 tff(9901,plain,
% 19.52/13.13 (v121(constB81, bitIndex0)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9374, 9900])).
% 19.52/13.13 tff(9902,plain,
% 19.52/13.13 (v123(constB82, bitIndex0)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9379, 9901])).
% 19.52/13.13 tff(9903,plain,
% 19.52/13.13 (v84(constB82, bitIndex0)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9386, 587, 9843, 9902])).
% 19.52/13.13 tff(9904,plain,
% 19.52/13.13 (v84(constB83, bitIndex0)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9396, 9903])).
% 19.52/13.13 tff(9905,plain,
% 19.52/13.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | v145(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | v145(constB83))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9906,plain,
% 19.52/13.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | v145(constB83))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9907,plain,
% 19.52/13.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | v145(constB83)),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9906, 9905])).
% 19.52/13.13 tff(9908,plain,
% 19.52/13.13 (v145(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9907, 624, 9904, 9845, 9893])).
% 19.52/13.13 tff(9909,plain,
% 19.52/13.13 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB83)) | (~v124(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB83)) | (~v124(constB83, bitIndex0)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9910,plain,
% 19.52/13.13 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB83)) | (~v124(constB83, bitIndex0)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9911,plain,
% 19.52/13.13 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB83)) | (~v124(constB83, bitIndex0))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9910, 9909])).
% 19.52/13.13 tff(9912,plain,
% 19.52/13.13 ($false),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9911, 871, 9908, 9857])).
% 19.52/13.13 tff(9913,plain,((~v118(constB79)) | (~v84(constB84, bitIndex0)) | (~v84(constB84, bitIndex1)) | v118(constB81)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.13 tff(9914,plain,
% 19.52/13.13 (~v118(constB79)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9913, 9744, 9743, 9670])).
% 19.52/13.13 tff(9915,assumption,(~v84(constB82, bitIndex2)), introduced(assumption)).
% 19.52/13.13 tff(9916,plain,
% 19.52/13.13 (~v84(constB83, bitIndex2)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9892, 9915])).
% 19.52/13.13 tff(9917,assumption,(~v110(constB83)), introduced(assumption)).
% 19.52/13.13 tff(9918,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB83) | (~v116(constB83)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB83) | (~v116(constB83)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9919,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB83) | (~v116(constB83)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9920,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB83) | (~v116(constB83))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9919, 9918])).
% 19.52/13.13 tff(9921,plain,
% 19.52/13.13 (~v116(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9920, 1187, 9917])).
% 19.52/13.13 tff(9922,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB83) | (~v111(constB83)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB83) | (~v111(constB83)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9923,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB83) | (~v111(constB83)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9924,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB83) | (~v111(constB83))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9923, 9922])).
% 19.52/13.13 tff(9925,plain,
% 19.52/13.13 (~v111(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9924, 217, 9917])).
% 19.52/13.13 tff(9926,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB83) | (~v115(constB83)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB83) | (~v115(constB83)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9927,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB83) | (~v115(constB83)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9928,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB83) | (~v115(constB83))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9927, 9926])).
% 19.52/13.13 tff(9929,plain,
% 19.52/13.13 (~v115(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9928, 956, 9925])).
% 19.52/13.13 tff(9930,assumption,(~v84(constB83, bitIndex2)), introduced(assumption)).
% 19.52/13.13 tff(9931,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB83) | (~v112(constB83)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9932,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB83) | (~v112(constB83)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9933,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB83) | (~v112(constB83))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9932, 9931])).
% 19.52/13.13 tff(9934,plain,
% 19.52/13.13 (~v112(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9933, 206, 9925])).
% 19.52/13.13 tff(9935,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB83) | (~v113(constB83)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9936,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB83) | (~v113(constB83)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9937,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB83) | (~v113(constB83))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9936, 9935])).
% 19.52/13.13 tff(9938,plain,
% 19.52/13.13 (~v113(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9937, 195, 9934])).
% 19.52/13.13 tff(9939,assumption,(~v113(constB83)), introduced(assumption)).
% 19.52/13.13 tff(9940,assumption,(~v84(constB83, bitIndex0)), introduced(assumption)).
% 19.52/13.13 tff(9941,assumption,(~v115(constB83)), introduced(assumption)).
% 19.52/13.13 tff(9942,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v115(constB83))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v115(constB83))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9943,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v115(constB83))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9944,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v115(constB83)),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9943, 9942])).
% 19.52/13.13 tff(9945,plain,
% 19.52/13.13 (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v115(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9944, 945, 9930])).
% 19.52/13.13 tff(9946,plain,
% 19.52/13.13 (~v84(constB83, bitIndex1)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9945, 9940, 9941])).
% 19.52/13.13 tff(9947,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9948,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9949,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2)),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9948, 9947])).
% 19.52/13.13 tff(9950,plain,
% 19.52/13.13 (v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9949, 184, 9930])).
% 19.52/13.13 tff(9951,plain,
% 19.52/13.13 ($false),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9950, 9946, 9940, 9939])).
% 19.52/13.13 tff(9952,plain,(v84(constB83, bitIndex0) | v113(constB83) | v84(constB83, bitIndex2) | v115(constB83)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.13 tff(9953,plain,
% 19.52/13.13 (v84(constB83, bitIndex0)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9952, 9938, 9930, 9929])).
% 19.52/13.13 tff(9954,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB83) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB83) | (~v145(constB83)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9955,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB83) | (~v145(constB83)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9956,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB83) | (~v145(constB83))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9955, 9954])).
% 19.52/13.13 tff(9957,plain,
% 19.52/13.13 (~v145(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9956, 681, 9934])).
% 19.52/13.13 tff(9958,plain,
% 19.52/13.13 ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v145(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9907, 624, 9930])).
% 19.52/13.13 tff(9959,plain,
% 19.52/13.13 (v84(constB83, bitIndex1)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9958, 9953, 9957])).
% 19.52/13.13 tff(9960,plain,
% 19.52/13.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v116(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v116(constB83))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9961,plain,
% 19.52/13.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v116(constB83))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9962,plain,
% 19.52/13.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v116(constB83)),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 19.52/13.13 tff(9963,plain,
% 19.52/13.13 ((~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v116(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9962, 1176, 9930])).
% 19.52/13.13 tff(9964,plain,
% 19.52/13.13 ($false),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9963, 9959, 9953, 9921])).
% 19.52/13.13 tff(9965,plain,(v110(constB83) | v84(constB83, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.13 tff(9966,plain,
% 19.52/13.13 (v110(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9965, 9916])).
% 19.52/13.13 tff(9967,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB83) | (~v110(constB83)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB83) | (~v110(constB83)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9968,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB83) | (~v110(constB83)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9969,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB83) | (~v110(constB83))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9968, 9967])).
% 19.52/13.13 tff(9970,plain,
% 19.52/13.13 (v109(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9969, 228, 9966])).
% 19.52/13.13 tff(9971,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB83) | (~v109(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB83) | (~v109(constB83)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9972,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB83) | (~v109(constB83)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9973,plain,
% 19.52/13.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB83) | (~v109(constB83))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9972, 9971])).
% 19.52/13.13 tff(9974,plain,
% 19.52/13.13 (v108(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9973, 239, 9970])).
% 19.52/13.13 tff(9975,plain,
% 19.52/13.13 (v107(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9408, 250, 9974])).
% 19.52/13.13 tff(9976,plain,
% 19.52/13.13 (v106(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9417, 9975])).
% 19.52/13.13 tff(9977,plain,
% 19.52/13.13 (v102(constB83)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9421, 276, 9976])).
% 19.52/13.13 tff(9978,plain,
% 19.52/13.13 (v104(constB84)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9432, 9977])).
% 19.52/13.13 tff(9979,plain,
% 19.52/13.13 (v94(constB84)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9458, 9978])).
% 19.52/13.13 tff(9980,plain,
% 19.52/13.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | v123(constB84, bitIndex1) | (~v94(constB84)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | v123(constB84, bitIndex1) | (~v94(constB84)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9981,plain,
% 19.52/13.13 (((~v84(constB84, bitIndex1)) | (~v94(constB84)) | v123(constB84, bitIndex1)) <=> ((~v84(constB84, bitIndex1)) | v123(constB84, bitIndex1) | (~v94(constB84)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9982,plain,
% 19.52/13.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~v94(constB84)) | v123(constB84, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | v123(constB84, bitIndex1) | (~v94(constB84))))),
% 19.52/13.13 inference(monotonicity,[status(thm)],[9981])).
% 19.52/13.13 tff(9983,plain,
% 19.52/13.13 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~v94(constB84)) | v123(constB84, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | v123(constB84, bitIndex1) | (~v94(constB84)))),
% 19.52/13.13 inference(transitivity,[status(thm)],[9982, 9980])).
% 19.52/13.13 tff(9984,plain,
% 19.52/13.13 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~v94(constB84)) | v123(constB84, bitIndex1))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9985,plain,
% 19.52/13.13 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | v123(constB84, bitIndex1) | (~v94(constB84))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9984, 9983])).
% 19.52/13.13 tff(9986,plain,
% 19.52/13.13 (v123(constB84, bitIndex1) | (~v94(constB84))),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9985, 516, 9743])).
% 19.52/13.13 tff(9987,plain,
% 19.52/13.13 (v123(constB84, bitIndex1)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9986, 9979])).
% 19.52/13.13 tff(9988,plain,
% 19.52/13.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex1) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex1) | (~v123(constB84, bitIndex1)))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9989,plain,
% 19.52/13.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex1) | (~v123(constB84, bitIndex1)))),
% 19.52/13.13 inference(quant_inst,[status(thm)],[])).
% 19.52/13.13 tff(9990,plain,
% 19.52/13.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex1) | (~v123(constB84, bitIndex1))),
% 19.52/13.13 inference(modus_ponens,[status(thm)],[9989, 9988])).
% 19.52/13.13 tff(9991,plain,
% 19.52/13.13 (v121(constB83, bitIndex1) | (~v123(constB84, bitIndex1))),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9990, 501, 9425])).
% 19.52/13.13 tff(9992,plain,
% 19.52/13.13 (v121(constB83, bitIndex1)),
% 19.52/13.13 inference(unit_resolution,[status(thm)],[9991, 9987])).
% 19.52/13.13 tff(9993,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB83, bitIndex1)) | v26(constB83) | v124(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB83, bitIndex1)) | v26(constB83) | v124(constB83, bitIndex1))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9994,plain,
% 19.52/13.13 ((v26(constB83) | v124(constB83, bitIndex1) | (~v121(constB83, bitIndex1))) <=> ((~v121(constB83, bitIndex1)) | v26(constB83) | v124(constB83, bitIndex1))),
% 19.52/13.13 inference(rewrite,[status(thm)],[])).
% 19.52/13.13 tff(9995,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB83) | v124(constB83, bitIndex1) | (~v121(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB83, bitIndex1)) | v26(constB83) | v124(constB83, bitIndex1)))),
% 19.52/13.13 inference(monotonicity,[status(thm)],[9994])).
% 19.52/13.13 tff(9996,plain,
% 19.52/13.13 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB83) | v124(constB83, bitIndex1) | (~v121(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB83, bitIndex1)) | v26(constB83) | v124(constB83, bitIndex1))),
% 19.52/13.14 inference(transitivity,[status(thm)],[9995, 9993])).
% 19.52/13.14 tff(9997,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB83) | v124(constB83, bitIndex1) | (~v121(constB83, bitIndex1)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(9998,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB83, bitIndex1)) | v26(constB83) | v124(constB83, bitIndex1)),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 19.52/13.14 tff(9999,plain,
% 19.52/13.14 ((~v121(constB83, bitIndex1)) | v124(constB83, bitIndex1)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9998, 483, 9413])).
% 19.52/13.14 tff(10000,plain,
% 19.52/13.14 (v124(constB83, bitIndex1)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9999, 9992])).
% 19.52/13.14 tff(10001,plain,
% 19.52/13.14 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB83)) | (~v124(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB83)) | (~v124(constB83, bitIndex1)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10002,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB83)) | (~v124(constB83, bitIndex1)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10003,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB83)) | (~v124(constB83, bitIndex1))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 19.52/13.14 tff(10004,plain,
% 19.52/13.14 (~v116(constB83)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10003, 1358, 10000])).
% 19.52/13.14 tff(10005,plain,
% 19.52/13.14 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB83)) | (~v124(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB83)) | (~v124(constB83, bitIndex1)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10006,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB83)) | (~v124(constB83, bitIndex1)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10007,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB83)) | (~v124(constB83, bitIndex1))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 19.52/13.14 tff(10008,plain,
% 19.52/13.14 (~v113(constB83)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10007, 469, 10000])).
% 19.52/13.14 tff(10009,plain,
% 19.52/13.14 (v123(constB84, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9854, 9979])).
% 19.52/13.14 tff(10010,plain,
% 19.52/13.14 (v121(constB83, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9555, 10009])).
% 19.52/13.14 tff(10011,plain,
% 19.52/13.14 (v124(constB83, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9550, 10010])).
% 19.52/13.14 tff(10012,plain,
% 19.52/13.14 (~v145(constB83)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9911, 871, 10011])).
% 19.52/13.14 tff(10013,plain,
% 19.52/13.14 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> (v84(VarCurr, bitIndex2) | (~v118(VarCurr))))),
% 19.52/13.14 inference(bind,[status(th)],[])).
% 19.52/13.14 tff(10014,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 19.52/13.14 inference(quant_intro,[status(thm)],[10013])).
% 19.52/13.14 tff(10015,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10016,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 19.52/13.14 tff(10017,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10016, 10015])).
% 19.52/13.14 tff(10018,plain,(
% 19.52/13.14 ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 19.52/13.14 inference(skolemize,[status(sab)],[10017])).
% 19.52/13.14 tff(10019,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10018, 10014])).
% 19.52/13.14 tff(10020,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB83, bitIndex2) | (~v118(constB83)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB83, bitIndex2) | (~v118(constB83)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10021,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB83, bitIndex2) | (~v118(constB83)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10022,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB83, bitIndex2) | (~v118(constB83))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 19.52/13.14 tff(10023,plain,
% 19.52/13.14 (~v118(constB83)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10022, 10019, 9916])).
% 19.52/13.14 tff(10024,plain,
% 19.52/13.14 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> (v84(VarCurr, bitIndex2) | (~v172(VarCurr))))),
% 19.52/13.14 inference(bind,[status(th)],[])).
% 19.52/13.14 tff(10025,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 19.52/13.14 inference(quant_intro,[status(thm)],[10024])).
% 19.52/13.14 tff(10026,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10027,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 19.52/13.14 tff(10028,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10027, 10026])).
% 19.52/13.14 tff(10029,plain,(
% 19.52/13.14 ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 19.52/13.14 inference(skolemize,[status(sab)],[10028])).
% 19.52/13.14 tff(10030,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10029, 10025])).
% 19.52/13.14 tff(10031,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB83, bitIndex2) | (~v172(constB83)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB83, bitIndex2) | (~v172(constB83)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10032,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB83, bitIndex2) | (~v172(constB83)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10033,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB83, bitIndex2) | (~v172(constB83))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10032, 10031])).
% 19.52/13.14 tff(10034,plain,
% 19.52/13.14 (~v172(constB83)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10033, 10030, 9916])).
% 19.52/13.14 tff(10035,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB83) | v172(constB83) | v118(constB83) | v116(constB83) | v115(constB83) | v113(constB83) | (~v124(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB83) | v172(constB83) | v118(constB83) | v116(constB83) | v115(constB83) | v113(constB83) | (~v124(constB83, bitIndex1)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10036,plain,
% 19.52/13.14 ((v113(constB83) | v145(constB83) | v115(constB83) | v116(constB83) | v172(constB83) | v118(constB83) | (~v124(constB83, bitIndex1))) <=> (v145(constB83) | v172(constB83) | v118(constB83) | v116(constB83) | v115(constB83) | v113(constB83) | (~v124(constB83, bitIndex1)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10037,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB83) | v145(constB83) | v115(constB83) | v116(constB83) | v172(constB83) | v118(constB83) | (~v124(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB83) | v172(constB83) | v118(constB83) | v116(constB83) | v115(constB83) | v113(constB83) | (~v124(constB83, bitIndex1))))),
% 19.52/13.14 inference(monotonicity,[status(thm)],[10036])).
% 19.52/13.14 tff(10038,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB83) | v145(constB83) | v115(constB83) | v116(constB83) | v172(constB83) | v118(constB83) | (~v124(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB83) | v172(constB83) | v118(constB83) | v116(constB83) | v115(constB83) | v113(constB83) | (~v124(constB83, bitIndex1)))),
% 19.52/13.14 inference(transitivity,[status(thm)],[10037, 10035])).
% 19.52/13.14 tff(10039,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB83) | v145(constB83) | v115(constB83) | v116(constB83) | v172(constB83) | v118(constB83) | (~v124(constB83, bitIndex1)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10040,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB83) | v172(constB83) | v118(constB83) | v116(constB83) | v115(constB83) | v113(constB83) | (~v124(constB83, bitIndex1))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10039, 10038])).
% 19.52/13.14 tff(10041,plain,
% 19.52/13.14 (v145(constB83) | v116(constB83) | v115(constB83) | v113(constB83) | (~v124(constB83, bitIndex1))),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10040, 2102, 10034, 10023])).
% 19.52/13.14 tff(10042,plain,
% 19.52/13.14 (v115(constB83)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10041, 10012, 10000, 10008, 10004])).
% 19.52/13.14 tff(10043,plain,
% 19.52/13.14 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> (v84(VarCurr, bitIndex1) | (~v115(VarCurr))))),
% 19.52/13.14 inference(bind,[status(th)],[])).
% 19.52/13.14 tff(10044,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 19.52/13.14 inference(quant_intro,[status(thm)],[10043])).
% 19.52/13.14 tff(10045,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10046,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 19.52/13.14 tff(10047,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10046, 10045])).
% 19.52/13.14 tff(10048,plain,(
% 19.52/13.14 ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 19.52/13.14 inference(skolemize,[status(sab)],[10047])).
% 19.52/13.14 tff(10049,plain,
% 19.52/13.14 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10048, 10044])).
% 19.52/13.14 tff(10050,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB83, bitIndex1) | (~v115(constB83)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB83, bitIndex1) | (~v115(constB83)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10051,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB83, bitIndex1) | (~v115(constB83)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10052,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB83, bitIndex1) | (~v115(constB83))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10051, 10050])).
% 19.52/13.14 tff(10053,plain,
% 19.52/13.14 (v84(constB83, bitIndex1)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10052, 10049, 10042])).
% 19.52/13.14 tff(10054,plain,
% 19.52/13.14 (v84(constB82, bitIndex1)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9365, 10053])).
% 19.52/13.14 tff(10055,plain,
% 19.52/13.14 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))))),
% 19.52/13.14 inference(bind,[status(th)],[])).
% 19.52/13.14 tff(10056,plain,
% 19.52/13.14 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 19.52/13.14 inference(quant_intro,[status(thm)],[10055])).
% 19.52/13.14 tff(10057,plain,
% 19.52/13.14 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10058,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 19.52/13.14 tff(10059,plain,
% 19.52/13.14 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10058, 10057])).
% 19.52/13.14 tff(10060,plain,(
% 19.52/13.14 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 19.52/13.14 inference(skolemize,[status(sab)],[10059])).
% 19.52/13.14 tff(10061,plain,
% 19.52/13.14 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10060, 10056])).
% 19.52/13.14 tff(10062,plain,
% 19.52/13.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB83, bitIndex0)) | (~v115(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB83, bitIndex0)) | (~v115(constB83)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10063,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB83, bitIndex0)) | (~v115(constB83)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10064,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB83, bitIndex0)) | (~v115(constB83))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10063, 10062])).
% 19.52/13.14 tff(10065,plain,
% 19.52/13.14 (~v84(constB83, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10064, 10061, 10042])).
% 19.52/13.14 tff(10066,plain,
% 19.52/13.14 (~v84(constB82, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9396, 10065])).
% 19.52/13.14 tff(10067,assumption,(~v94(constB82)), introduced(assumption)).
% 19.52/13.14 tff(10068,assumption,(v84(constB82, bitIndex1)), introduced(assumption)).
% 19.52/13.14 tff(10069,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB81, bitIndex1) | (~nextState(constB81, constB82)) | v94(constB82) | (~v84(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB81, bitIndex1) | (~nextState(constB81, constB82)) | v94(constB82) | (~v84(constB82, bitIndex1)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10070,plain,
% 19.52/13.14 (((~nextState(constB81, constB82)) | v84(constB81, bitIndex1) | v94(constB82) | (~v84(constB82, bitIndex1))) <=> (v84(constB81, bitIndex1) | (~nextState(constB81, constB82)) | v94(constB82) | (~v84(constB82, bitIndex1)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10071,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v84(constB81, bitIndex1) | v94(constB82) | (~v84(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB81, bitIndex1) | (~nextState(constB81, constB82)) | v94(constB82) | (~v84(constB82, bitIndex1))))),
% 19.52/13.14 inference(monotonicity,[status(thm)],[10070])).
% 19.52/13.14 tff(10072,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v84(constB81, bitIndex1) | v94(constB82) | (~v84(constB82, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB81, bitIndex1) | (~nextState(constB81, constB82)) | v94(constB82) | (~v84(constB82, bitIndex1)))),
% 19.52/13.14 inference(transitivity,[status(thm)],[10071, 10069])).
% 19.52/13.14 tff(10073,plain,
% 19.52/13.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v84(constB81, bitIndex1) | v94(constB82) | (~v84(constB82, bitIndex1)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10074,plain,
% 19.52/13.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB81, bitIndex1) | (~nextState(constB81, constB82)) | v94(constB82) | (~v84(constB82, bitIndex1))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10073, 10072])).
% 19.52/13.14 tff(10075,plain,
% 19.52/13.14 (v84(constB81, bitIndex1) | v94(constB82) | (~v84(constB82, bitIndex1))),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10074, 142, 9245])).
% 19.52/13.14 tff(10076,plain,
% 19.52/13.14 (v84(constB81, bitIndex1)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10075, 10067, 10068])).
% 19.52/13.14 tff(10077,plain,
% 19.52/13.14 (~v145(constB81)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9809, 2012, 10076])).
% 19.52/13.14 tff(10078,assumption,(~v84(constB82, bitIndex0)), introduced(assumption)).
% 19.52/13.14 tff(10079,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB81, bitIndex0)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB81, bitIndex0)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex0))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10080,plain,
% 19.52/13.14 (((~nextState(constB81, constB82)) | (~v84(constB81, bitIndex0)) | v94(constB82) | v84(constB82, bitIndex0)) <=> ((~v84(constB81, bitIndex0)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex0))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10081,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v84(constB81, bitIndex0)) | v94(constB82) | v84(constB82, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB81, bitIndex0)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex0)))),
% 19.52/13.14 inference(monotonicity,[status(thm)],[10080])).
% 19.52/13.14 tff(10082,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v84(constB81, bitIndex0)) | v94(constB82) | v84(constB82, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB81, bitIndex0)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex0))),
% 19.52/13.14 inference(transitivity,[status(thm)],[10081, 10079])).
% 19.52/13.14 tff(10083,plain,
% 19.52/13.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v84(constB81, bitIndex0)) | v94(constB82) | v84(constB82, bitIndex0))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10084,plain,
% 19.52/13.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB81, bitIndex0)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex0)),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10083, 10082])).
% 19.52/13.14 tff(10085,plain,
% 19.52/13.14 ((~v84(constB81, bitIndex0)) | v94(constB82) | v84(constB82, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10084, 605, 9245])).
% 19.52/13.14 tff(10086,plain,
% 19.52/13.14 (~v84(constB81, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10085, 10067, 10078])).
% 19.52/13.14 tff(10087,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB81, bitIndex0) | (~v116(constB81)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB81, bitIndex0) | (~v116(constB81)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10088,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB81, bitIndex0) | (~v116(constB81)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10089,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB81, bitIndex0) | (~v116(constB81))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 19.52/13.14 tff(10090,plain,
% 19.52/13.14 (~v116(constB81)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10089, 4939, 10086])).
% 19.52/13.14 tff(10091,assumption,(~v116(constB81)), introduced(assumption)).
% 19.52/13.14 tff(10092,assumption,(~v145(constB81)), introduced(assumption)).
% 19.52/13.14 tff(10093,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB81, bitIndex2)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB81, bitIndex2)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex2))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10094,plain,
% 19.52/13.14 (((~nextState(constB81, constB82)) | (~v84(constB81, bitIndex2)) | v94(constB82) | v84(constB82, bitIndex2)) <=> ((~v84(constB81, bitIndex2)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex2))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10095,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v84(constB81, bitIndex2)) | v94(constB82) | v84(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB81, bitIndex2)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex2)))),
% 19.52/13.14 inference(monotonicity,[status(thm)],[10094])).
% 19.52/13.14 tff(10096,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v84(constB81, bitIndex2)) | v94(constB82) | v84(constB82, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB81, bitIndex2)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex2))),
% 19.52/13.14 inference(transitivity,[status(thm)],[10095, 10093])).
% 19.52/13.14 tff(10097,plain,
% 19.52/13.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v84(constB81, bitIndex2)) | v94(constB82) | v84(constB82, bitIndex2))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10098,plain,
% 19.52/13.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB81, bitIndex2)) | (~nextState(constB81, constB82)) | v94(constB82) | v84(constB82, bitIndex2)),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10097, 10096])).
% 19.52/13.14 tff(10099,plain,
% 19.52/13.14 ((~v84(constB81, bitIndex2)) | v94(constB82) | v84(constB82, bitIndex2)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10098, 1339, 9245])).
% 19.52/13.14 tff(10100,plain,
% 19.52/13.14 (~v84(constB81, bitIndex2)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10099, 10067, 9915])).
% 19.52/13.14 tff(10101,assumption,(~v84(constB81, bitIndex2)), introduced(assumption)).
% 19.52/13.14 tff(10102,assumption,(~v115(constB81)), introduced(assumption)).
% 19.52/13.14 tff(10103,assumption,(~v113(constB81)), introduced(assumption)).
% 19.52/13.14 tff(10104,assumption,(~v84(constB81, bitIndex1)), introduced(assumption)).
% 19.52/13.14 tff(10105,plain,
% 19.52/13.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v145(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v145(constB81))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10106,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v145(constB81))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10107,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v145(constB81)),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10106, 10105])).
% 19.52/13.14 tff(10108,plain,
% 19.52/13.14 ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10107, 624, 10092])).
% 19.52/13.14 tff(10109,plain,
% 19.52/13.14 (~v84(constB81, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10108, 10104, 10101])).
% 19.52/13.14 tff(10110,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB81) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB81) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10111,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB81) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10112,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB81) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2)),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10111, 10110])).
% 19.52/13.14 tff(10113,plain,
% 19.52/13.14 (v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10112, 184, 10103])).
% 19.52/13.14 tff(10114,plain,
% 19.52/13.14 ($false),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10113, 10109, 10104, 10101])).
% 19.52/13.14 tff(10115,plain,(v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v113(constB81) | v145(constB81)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.14 tff(10116,plain,
% 19.52/13.14 (v84(constB81, bitIndex1)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10115, 10101, 10103, 10092])).
% 19.52/13.14 tff(10117,plain,
% 19.52/13.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10118,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10119,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81)),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10118, 10117])).
% 19.52/13.14 tff(10120,plain,
% 19.52/13.14 ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10119, 1176, 10091])).
% 19.52/13.14 tff(10121,plain,
% 19.52/13.14 (~v84(constB81, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10120, 10116, 10101])).
% 19.52/13.14 tff(10122,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v115(constB81))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v115(constB81))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10123,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v115(constB81))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10124,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v115(constB81)),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 19.52/13.14 tff(10125,plain,
% 19.52/13.14 (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10124, 945, 10102])).
% 19.52/13.14 tff(10126,plain,
% 19.52/13.14 ($false),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10125, 10121, 10116, 10101])).
% 19.52/13.14 tff(10127,plain,(v84(constB81, bitIndex2) | v115(constB81) | v116(constB81) | v113(constB81) | v145(constB81)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.14 tff(10128,plain,
% 19.52/13.14 (v113(constB81)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10127, 10101, 10091, 10092, 10102])).
% 19.52/13.14 tff(10129,plain,
% 19.52/13.14 (~v84(constB81, bitIndex1)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9813, 1990, 10128])).
% 19.52/13.14 tff(10130,plain,
% 19.52/13.14 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))))),
% 19.52/13.14 inference(bind,[status(th)],[])).
% 19.52/13.14 tff(10131,plain,
% 19.52/13.14 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 19.52/13.14 inference(quant_intro,[status(thm)],[10130])).
% 19.52/13.14 tff(10132,plain,
% 19.52/13.14 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10133,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 19.52/13.14 tff(10134,plain,
% 19.52/13.14 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 19.52/13.14 tff(10135,plain,(
% 19.52/13.14 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 19.52/13.14 inference(skolemize,[status(sab)],[10134])).
% 19.52/13.14 tff(10136,plain,
% 19.52/13.14 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10135, 10131])).
% 19.52/13.14 tff(10137,plain,
% 19.52/13.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v113(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB81, bitIndex0)) | (~v113(constB81)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10138,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v113(constB81)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10139,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB81, bitIndex0)) | (~v113(constB81))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10138, 10137])).
% 19.52/13.14 tff(10140,plain,
% 19.52/13.14 (~v84(constB81, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10139, 10136, 10128])).
% 19.52/13.14 tff(10141,plain,
% 19.52/13.14 (~v84(constB80, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9725, 10140])).
% 19.52/13.14 tff(10142,plain,
% 19.52/13.14 (~v84(constB80, bitIndex2)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9137, 10101])).
% 19.52/13.14 tff(10143,assumption,(~v84(constB80, bitIndex0)), introduced(assumption)).
% 19.52/13.14 tff(10144,plain,
% 19.52/13.14 (~v84(constB80, bitIndex1)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9784, 10104])).
% 19.52/13.14 tff(10145,plain,
% 19.52/13.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB81, bitIndex1) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB81, bitIndex1) | (~v115(constB81)))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10146,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB81, bitIndex1) | (~v115(constB81)))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10147,plain,
% 19.52/13.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB81, bitIndex1) | (~v115(constB81))),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10146, 10145])).
% 19.52/13.14 tff(10148,plain,
% 19.52/13.14 (~v115(constB81)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10147, 10049, 10104])).
% 19.52/13.14 tff(10149,assumption,(~v121(constB79, bitIndex0)), introduced(assumption)).
% 19.52/13.14 tff(10150,plain,
% 19.52/13.14 (~v124(constB79, bitIndex0)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9703, 10149])).
% 19.52/13.14 tff(10151,plain,
% 19.52/13.14 (~v172(constB79)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[9698, 1631, 10150])).
% 19.52/13.14 tff(10152,assumption,(~v84(constB80, bitIndex1)), introduced(assumption)).
% 19.52/13.14 tff(10153,plain,
% 19.52/13.14 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB79)) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB79)) | v124(constB79, bitIndex0))),
% 19.52/13.14 inference(rewrite,[status(thm)],[])).
% 19.52/13.14 tff(10154,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB79)) | v124(constB79, bitIndex0))),
% 19.52/13.14 inference(quant_inst,[status(thm)],[])).
% 19.52/13.14 tff(10155,plain,
% 19.52/13.14 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB79)) | v124(constB79, bitIndex0)),
% 19.52/13.14 inference(modus_ponens,[status(thm)],[10154, 10153])).
% 19.52/13.14 tff(10156,plain,
% 19.52/13.14 (~v113(constB79)),
% 19.52/13.14 inference(unit_resolution,[status(thm)],[10155, 543, 10150])).
% 19.52/13.14 tff(10157,assumption,(~v84(constB80, bitIndex2)), introduced(assumption)).
% 19.52/13.14 tff(10158,assumption,(~v94(constB80)), introduced(assumption)).
% 19.52/13.14 tff(10159,plain,
% 19.52/13.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB79, bitIndex2)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB79, bitIndex2)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex2))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10160,plain,
% 19.52/13.15 (((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex2)) | v94(constB80) | v84(constB80, bitIndex2)) <=> ((~v84(constB79, bitIndex2)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex2))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10161,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex2)) | v94(constB80) | v84(constB80, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB79, bitIndex2)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex2)))),
% 19.52/13.15 inference(monotonicity,[status(thm)],[10160])).
% 19.52/13.15 tff(10162,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex2)) | v94(constB80) | v84(constB80, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB79, bitIndex2)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex2))),
% 19.52/13.15 inference(transitivity,[status(thm)],[10161, 10159])).
% 19.52/13.15 tff(10163,plain,
% 19.52/13.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex2)) | v94(constB80) | v84(constB80, bitIndex2))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10164,plain,
% 19.52/13.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB79, bitIndex2)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex2)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10163, 10162])).
% 19.52/13.15 tff(10165,plain,
% 19.52/13.15 ((~v84(constB79, bitIndex2)) | v94(constB80) | v84(constB80, bitIndex2)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10164, 1339, 9055])).
% 19.52/13.15 tff(10166,plain,
% 19.52/13.15 (~v84(constB79, bitIndex2)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10165, 10158, 10157])).
% 19.52/13.15 tff(10167,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex0))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10168,plain,
% 19.52/13.15 (((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex0)) | v94(constB80) | v84(constB80, bitIndex0)) <=> ((~v84(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex0))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10169,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex0)) | v94(constB80) | v84(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex0)))),
% 19.52/13.15 inference(monotonicity,[status(thm)],[10168])).
% 19.52/13.15 tff(10170,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex0)) | v94(constB80) | v84(constB80, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex0))),
% 19.52/13.15 inference(transitivity,[status(thm)],[10169, 10167])).
% 19.52/13.15 tff(10171,plain,
% 19.52/13.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex0)) | v94(constB80) | v84(constB80, bitIndex0))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10172,plain,
% 19.52/13.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB79, bitIndex0)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex0)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10171, 10170])).
% 19.52/13.15 tff(10173,plain,
% 19.52/13.15 ((~v84(constB79, bitIndex0)) | v94(constB80) | v84(constB80, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10172, 605, 9055])).
% 19.52/13.15 tff(10174,plain,
% 19.52/13.15 (~v84(constB79, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10173, 10158, 10143])).
% 19.52/13.15 tff(10175,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB79, bitIndex1)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB79, bitIndex1)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex1))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10176,plain,
% 19.52/13.15 (((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex1)) | v94(constB80) | v84(constB80, bitIndex1)) <=> ((~v84(constB79, bitIndex1)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex1))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10177,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex1)) | v94(constB80) | v84(constB80, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB79, bitIndex1)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex1)))),
% 19.52/13.15 inference(monotonicity,[status(thm)],[10176])).
% 19.52/13.15 tff(10178,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex1)) | v94(constB80) | v84(constB80, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB79, bitIndex1)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex1))),
% 19.52/13.15 inference(transitivity,[status(thm)],[10177, 10175])).
% 19.52/13.15 tff(10179,plain,
% 19.52/13.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v84(constB79, bitIndex1)) | v94(constB80) | v84(constB80, bitIndex1))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10180,plain,
% 19.52/13.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB79, bitIndex1)) | (~nextState(constB79, constB80)) | v94(constB80) | v84(constB80, bitIndex1)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10179, 10178])).
% 19.52/13.15 tff(10181,plain,
% 19.52/13.15 ((~v84(constB79, bitIndex1)) | v94(constB80) | v84(constB80, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10180, 852, 9055])).
% 19.52/13.15 tff(10182,plain,
% 19.52/13.15 (~v84(constB79, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10181, 10158, 10152])).
% 19.52/13.15 tff(10183,assumption,(~v113(constB79)), introduced(assumption)).
% 19.52/13.15 tff(10184,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10185,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10186,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10185, 10184])).
% 19.52/13.15 tff(10187,plain,
% 19.52/13.15 (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10186, 184, 10183])).
% 19.52/13.15 tff(10188,plain,
% 19.52/13.15 ($false),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10187, 10182, 10174, 10166])).
% 19.52/13.15 tff(10189,plain,(v94(constB80) | v113(constB79) | v84(constB80, bitIndex1) | v84(constB80, bitIndex0) | v84(constB80, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.15 tff(10190,plain,
% 19.52/13.15 (v94(constB80)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10189, 10156, 10152, 10143, 10142])).
% 19.52/13.15 tff(10191,plain,
% 19.52/13.15 ((~v123(constB80, bitIndex2)) | (~v94(constB80))),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9109, 1303, 10142])).
% 19.52/13.15 tff(10192,plain,
% 19.52/13.15 (~v123(constB80, bitIndex2)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10191, 10190])).
% 19.52/13.15 tff(10193,plain,
% 19.52/13.15 (~v121(constB79, bitIndex2)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9102, 10192])).
% 19.52/13.15 tff(10194,plain,
% 19.52/13.15 (~v124(constB79, bitIndex2)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9097, 10193])).
% 19.52/13.15 tff(10195,plain,
% 19.52/13.15 (~v118(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9792, 1750, 10194])).
% 19.52/13.15 tff(10196,plain,
% 19.52/13.15 (~v116(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9092, 1259, 10194])).
% 19.52/13.15 tff(10197,plain,
% 19.52/13.15 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB79)) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB79)) | v124(constB79, bitIndex0))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10198,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB79)) | v124(constB79, bitIndex0))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10199,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB79)) | v124(constB79, bitIndex0)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10198, 10197])).
% 19.52/13.15 tff(10200,plain,
% 19.52/13.15 (~v115(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10199, 1135, 10150])).
% 19.52/13.15 tff(10201,assumption,(~v116(constB79)), introduced(assumption)).
% 19.52/13.15 tff(10202,assumption,(~v172(constB79)), introduced(assumption)).
% 19.52/13.15 tff(10203,assumption,(~v118(constB79)), introduced(assumption)).
% 19.52/13.15 tff(10204,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB79, bitIndex0) | v145(constB79) | v172(constB79) | v118(constB79) | v113(constB79) | v115(constB79) | v116(constB79))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB79, bitIndex0) | v145(constB79) | v172(constB79) | v118(constB79) | v113(constB79) | v115(constB79) | v116(constB79))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10205,plain,
% 19.52/13.15 ((v113(constB79) | v145(constB79) | v115(constB79) | v116(constB79) | v172(constB79) | v118(constB79) | v124(constB79, bitIndex0)) <=> (v124(constB79, bitIndex0) | v145(constB79) | v172(constB79) | v118(constB79) | v113(constB79) | v115(constB79) | v116(constB79))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10206,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB79) | v145(constB79) | v115(constB79) | v116(constB79) | v172(constB79) | v118(constB79) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB79, bitIndex0) | v145(constB79) | v172(constB79) | v118(constB79) | v113(constB79) | v115(constB79) | v116(constB79)))),
% 19.52/13.15 inference(monotonicity,[status(thm)],[10205])).
% 19.52/13.15 tff(10207,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB79) | v145(constB79) | v115(constB79) | v116(constB79) | v172(constB79) | v118(constB79) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB79, bitIndex0) | v145(constB79) | v172(constB79) | v118(constB79) | v113(constB79) | v115(constB79) | v116(constB79))),
% 19.52/13.15 inference(transitivity,[status(thm)],[10206, 10204])).
% 19.52/13.15 tff(10208,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB79) | v145(constB79) | v115(constB79) | v116(constB79) | v172(constB79) | v118(constB79) | v124(constB79, bitIndex0))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10209,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB79, bitIndex0) | v145(constB79) | v172(constB79) | v118(constB79) | v113(constB79) | v115(constB79) | v116(constB79)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 19.52/13.15 tff(10210,plain,
% 19.52/13.15 (v124(constB79, bitIndex0) | v145(constB79) | v113(constB79) | v115(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10209, 2149, 10203, 10202, 10201])).
% 19.52/13.15 tff(10211,plain,
% 19.52/13.15 (v145(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10210, 10156, 10150, 10200])).
% 19.52/13.15 tff(10212,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB79) | (~v145(constB79)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB79) | (~v145(constB79)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10213,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB79) | (~v145(constB79)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10214,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB79) | (~v145(constB79))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10213, 10212])).
% 19.52/13.15 tff(10215,plain,
% 19.52/13.15 (v112(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10214, 681, 10211])).
% 19.52/13.15 tff(10216,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB79) | (~v112(constB79)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10217,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB79) | (~v112(constB79)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10218,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB79) | (~v112(constB79))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10217, 10216])).
% 19.52/13.15 tff(10219,plain,
% 19.52/13.15 (v111(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10218, 206, 10215])).
% 19.52/13.15 tff(10220,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB79) | (~v111(constB79)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB79) | (~v111(constB79)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10221,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB79) | (~v111(constB79)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10222,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB79) | (~v111(constB79))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10221, 10220])).
% 19.52/13.15 tff(10223,plain,
% 19.52/13.15 (v110(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10222, 217, 10219])).
% 19.52/13.15 tff(10224,plain,
% 19.52/13.15 (v109(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9027, 228, 10223])).
% 19.52/13.15 tff(10225,plain,
% 19.52/13.15 (v108(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9031, 239, 10224])).
% 19.52/13.15 tff(10226,plain,
% 19.52/13.15 (v107(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9035, 250, 10225])).
% 19.52/13.15 tff(10227,plain,
% 19.52/13.15 (v106(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9047, 10226])).
% 19.52/13.15 tff(10228,plain,
% 19.52/13.15 (v102(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9051, 276, 10227])).
% 19.52/13.15 tff(10229,plain,
% 19.52/13.15 (v104(constB80)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9062, 10228])).
% 19.52/13.15 tff(10230,plain,
% 19.52/13.15 (v94(constB80)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9088, 10229])).
% 19.52/13.15 tff(10231,plain,
% 19.52/13.15 (~v123(constB80, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9188, 10149])).
% 19.52/13.15 tff(10232,plain,
% 19.52/13.15 ((~v84(constB80, bitIndex0)) | (~v94(constB80))),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9195, 918, 10231])).
% 19.52/13.15 tff(10233,plain,
% 19.52/13.15 (~v84(constB80, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10232, 10230])).
% 19.52/13.15 tff(10234,plain,
% 19.52/13.15 (~v84(constB81, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9205, 10233])).
% 19.52/13.15 tff(10235,plain,
% 19.52/13.15 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB79)) | v124(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB79)) | v124(constB79, bitIndex1))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10236,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB79)) | v124(constB79, bitIndex1))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10237,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB79)) | v124(constB79, bitIndex1)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10236, 10235])).
% 19.52/13.15 tff(10238,plain,
% 19.52/13.15 (v124(constB79, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10237, 790, 10211])).
% 19.52/13.15 tff(10239,plain,
% 19.52/13.15 (v121(constB79, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9762, 10238])).
% 19.52/13.15 tff(10240,plain,
% 19.52/13.15 (v123(constB80, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9767, 10239])).
% 19.52/13.15 tff(10241,plain,
% 19.52/13.15 (v84(constB80, bitIndex1) | (~v94(constB80))),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9774, 834, 10240])).
% 19.52/13.15 tff(10242,plain,
% 19.52/13.15 (v84(constB80, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10241, 10230])).
% 19.52/13.15 tff(10243,plain,
% 19.52/13.15 (v84(constB81, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9784, 10242])).
% 19.52/13.15 tff(10244,plain,
% 19.52/13.15 ($false),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10125, 10243, 10234, 10101])).
% 19.52/13.15 tff(10245,plain,(v121(constB79, bitIndex0) | v84(constB81, bitIndex2) | v115(constB81) | v118(constB79) | v172(constB79) | v116(constB79)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.15 tff(10246,plain,
% 19.52/13.15 ($false),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10245, 10196, 10195, 10102, 10149, 10151, 10101])).
% 19.52/13.15 tff(10247,plain,(v121(constB79, bitIndex0) | v115(constB81) | v84(constB81, bitIndex2) | v84(constB80, bitIndex1) | v84(constB80, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.15 tff(10248,plain,
% 19.52/13.15 (v121(constB79, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10247, 10148, 10101, 10144, 10143])).
% 19.52/13.15 tff(10249,plain,
% 19.52/13.15 (v123(constB80, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9708, 10248])).
% 19.52/13.15 tff(10250,plain,
% 19.52/13.15 ((~v123(constB80, bitIndex0)) | (~v94(constB80))),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9715, 587, 10143])).
% 19.52/13.15 tff(10251,plain,
% 19.52/13.15 (~v94(constB80)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10250, 10249])).
% 19.52/13.15 tff(10252,plain,
% 19.52/13.15 (v113(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10189, 10251, 10144, 10143, 10142])).
% 19.52/13.15 tff(10253,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB79) | (~v113(constB79)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10254,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB79) | (~v113(constB79)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10255,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB79) | (~v113(constB79))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 19.52/13.15 tff(10256,plain,
% 19.52/13.15 (v112(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10255, 195, 10252])).
% 19.52/13.15 tff(10257,plain,
% 19.52/13.15 (v111(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10218, 206, 10256])).
% 19.52/13.15 tff(10258,plain,
% 19.52/13.15 (v110(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10222, 217, 10257])).
% 19.52/13.15 tff(10259,plain,
% 19.52/13.15 (~v104(constB80)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9088, 10251])).
% 19.52/13.15 tff(10260,plain,
% 19.52/13.15 (~v102(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9062, 10259])).
% 19.52/13.15 tff(10261,plain,
% 19.52/13.15 (~v106(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9051, 276, 10260])).
% 19.52/13.15 tff(10262,plain,
% 19.52/13.15 (~v107(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9047, 10261])).
% 19.52/13.15 tff(10263,plain,
% 19.52/13.15 (~v108(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9035, 250, 10262])).
% 19.52/13.15 tff(10264,plain,
% 19.52/13.15 (~v109(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9031, 239, 10263])).
% 19.52/13.15 tff(10265,plain,
% 19.52/13.15 ($false),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9027, 228, 10264, 10258])).
% 19.52/13.15 tff(10266,plain,(v84(constB81, bitIndex1) | v84(constB80, bitIndex0) | v84(constB81, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.15 tff(10267,plain,
% 19.52/13.15 ($false),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10266, 10141, 10129, 10101])).
% 19.52/13.15 tff(10268,plain,(v84(constB81, bitIndex2) | v116(constB81) | v145(constB81) | v115(constB81)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.15 tff(10269,plain,
% 19.52/13.15 (v115(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10268, 10100, 10092, 10091])).
% 19.52/13.15 tff(10270,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB81) | (~v115(constB81)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10271,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB81) | (~v115(constB81)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10272,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB81) | (~v115(constB81))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 19.52/13.15 tff(10273,plain,
% 19.52/13.15 (v111(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10272, 956, 10269])).
% 19.52/13.15 tff(10274,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB81) | (~v111(constB81)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB81) | (~v111(constB81)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10275,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB81) | (~v111(constB81)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10276,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB81) | (~v111(constB81))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10275, 10274])).
% 19.52/13.15 tff(10277,plain,
% 19.52/13.15 (v110(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10276, 217, 10273])).
% 19.52/13.15 tff(10278,plain,
% 19.52/13.15 (~v104(constB82)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9278, 10067])).
% 19.52/13.15 tff(10279,plain,
% 19.52/13.15 (~v102(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9252, 10278])).
% 19.52/13.15 tff(10280,plain,
% 19.52/13.15 (~v107(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9241, 10279])).
% 19.52/13.15 tff(10281,plain,
% 19.52/13.15 (~v108(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9221, 250, 10280])).
% 19.52/13.15 tff(10282,plain,
% 19.52/13.15 (~v109(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9217, 239, 10281])).
% 19.52/13.15 tff(10283,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB81) | (~v110(constB81)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB81) | (~v110(constB81)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10284,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB81) | (~v110(constB81)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10285,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB81) | (~v110(constB81))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10284, 10283])).
% 19.52/13.15 tff(10286,plain,
% 19.52/13.15 ($false),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10285, 228, 10282, 10277])).
% 19.52/13.15 tff(10287,plain,(v94(constB82) | v145(constB81) | v116(constB81) | v84(constB82, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.15 tff(10288,plain,
% 19.52/13.15 ($false),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10287, 10090, 10077, 9915, 10067])).
% 19.52/13.15 tff(10289,plain,(v94(constB82) | v84(constB82, bitIndex2) | v84(constB82, bitIndex0) | (~v84(constB82, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 19.52/13.15 tff(10290,plain,
% 19.52/13.15 (v94(constB82)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10289, 9915, 10066, 10054])).
% 19.52/13.15 tff(10291,plain,
% 19.52/13.15 (v123(constB82, bitIndex1) | (~v94(constB82))),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9355, 516, 10054])).
% 19.52/13.15 tff(10292,plain,
% 19.52/13.15 (v123(constB82, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10291, 10290])).
% 19.52/13.15 tff(10293,plain,
% 19.52/13.15 (v121(constB81, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9348, 10292])).
% 19.52/13.15 tff(10294,plain,
% 19.52/13.15 (v124(constB81, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9343, 10293])).
% 19.52/13.15 tff(10295,plain,
% 19.52/13.15 (~v172(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9335, 1587, 10294])).
% 19.52/13.15 tff(10296,plain,
% 19.52/13.15 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB81)) | (~v124(constB81, bitIndex1)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10297,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB81)) | (~v124(constB81, bitIndex1)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10298,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB81)) | (~v124(constB81, bitIndex1))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 19.52/13.15 tff(10299,plain,
% 19.52/13.15 (~v116(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10298, 1358, 10294])).
% 19.52/13.15 tff(10300,plain,
% 19.52/13.15 ((~v123(constB82, bitIndex0)) | (~v94(constB82))),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9386, 587, 10066])).
% 19.52/13.15 tff(10301,plain,
% 19.52/13.15 (~v123(constB82, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10300, 10290])).
% 19.52/13.15 tff(10302,plain,
% 19.52/13.15 (~v121(constB81, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9379, 10301])).
% 19.52/13.15 tff(10303,plain,
% 19.52/13.15 (~v124(constB81, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9374, 10302])).
% 19.52/13.15 tff(10304,plain,
% 19.52/13.15 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB81)) | v124(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB81)) | v124(constB81, bitIndex0))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10305,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB81)) | v124(constB81, bitIndex0))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10306,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB81)) | v124(constB81, bitIndex0)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 19.52/13.15 tff(10307,plain,
% 19.52/13.15 (~v115(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10306, 1135, 10303])).
% 19.52/13.15 tff(10308,plain,
% 19.52/13.15 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB81)) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB81)) | (~v124(constB81, bitIndex1)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10309,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB81)) | (~v124(constB81, bitIndex1)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10310,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB81)) | (~v124(constB81, bitIndex1))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 19.52/13.15 tff(10311,plain,
% 19.52/13.15 (~v113(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10310, 469, 10294])).
% 19.52/13.15 tff(10312,plain,
% 19.52/13.15 (v172(constB81) | v145(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | v124(constB81, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9899, 2149, 9670])).
% 19.52/13.15 tff(10313,plain,
% 19.52/13.15 (v145(constB81)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10312, 10311, 10303, 10307, 10299, 10295])).
% 19.52/13.15 tff(10314,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB81, bitIndex0) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB81, bitIndex0) | (~v145(constB81)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10315,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB81, bitIndex0) | (~v145(constB81)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10316,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB81, bitIndex0) | (~v145(constB81))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10315, 10314])).
% 19.52/13.15 tff(10317,plain,
% 19.52/13.15 (v84(constB81, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10316, 4951, 10313])).
% 19.52/13.15 tff(10318,plain,
% 19.52/13.15 (v84(constB80, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9205, 10317])).
% 19.52/13.15 tff(10319,plain,
% 19.52/13.15 (~v84(constB81, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9809, 2012, 10313])).
% 19.52/13.15 tff(10320,plain,
% 19.52/13.15 (~v84(constB80, bitIndex1)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[9784, 10319])).
% 19.52/13.15 tff(10321,plain,
% 19.52/13.15 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))))),
% 19.52/13.15 inference(bind,[status(th)],[])).
% 19.52/13.15 tff(10322,plain,
% 19.52/13.15 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 19.52/13.15 inference(quant_intro,[status(thm)],[10321])).
% 19.52/13.15 tff(10323,plain,
% 19.52/13.15 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10324,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 19.52/13.15 tff(10325,plain,
% 19.52/13.15 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10324, 10323])).
% 19.52/13.15 tff(10326,plain,(
% 19.52/13.15 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 19.52/13.15 inference(skolemize,[status(sab)],[10325])).
% 19.52/13.15 tff(10327,plain,
% 19.52/13.15 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10326, 10322])).
% 19.52/13.15 tff(10328,plain,
% 19.52/13.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex2)) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB81, bitIndex2)) | (~v145(constB81)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10329,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex2)) | (~v145(constB81)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10330,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB81, bitIndex2)) | (~v145(constB81))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10329, 10328])).
% 19.52/13.15 tff(10331,plain,
% 19.52/13.15 (~v84(constB81, bitIndex2)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10330, 10327, 10313])).
% 19.52/13.15 tff(10332,plain,
% 19.52/13.15 (~v84(constB79, bitIndex2)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10165, 10158, 10142])).
% 19.52/13.15 tff(10333,assumption,(v84(constB80, bitIndex0)), introduced(assumption)).
% 19.52/13.15 tff(10334,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v94(constB80) | (~v84(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v94(constB80) | (~v84(constB80, bitIndex0)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10335,plain,
% 19.52/13.15 (((~nextState(constB79, constB80)) | v84(constB79, bitIndex0) | v94(constB80) | (~v84(constB80, bitIndex0))) <=> (v84(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v94(constB80) | (~v84(constB80, bitIndex0)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10336,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v84(constB79, bitIndex0) | v94(constB80) | (~v84(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v94(constB80) | (~v84(constB80, bitIndex0))))),
% 19.52/13.15 inference(monotonicity,[status(thm)],[10335])).
% 19.52/13.15 tff(10337,plain,
% 19.52/13.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v84(constB79, bitIndex0) | v94(constB80) | (~v84(constB80, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v94(constB80) | (~v84(constB80, bitIndex0)))),
% 19.52/13.15 inference(transitivity,[status(thm)],[10336, 10334])).
% 19.52/13.15 tff(10338,plain,
% 19.52/13.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v84(constB79, bitIndex0) | v94(constB80) | (~v84(constB80, bitIndex0)))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10339,plain,
% 19.52/13.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB79, bitIndex0) | (~nextState(constB79, constB80)) | v94(constB80) | (~v84(constB80, bitIndex0))),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 19.52/13.15 tff(10340,plain,
% 19.52/13.15 (v84(constB79, bitIndex0) | v94(constB80) | (~v84(constB80, bitIndex0))),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10339, 163, 9055])).
% 19.52/13.15 tff(10341,plain,
% 19.52/13.15 (v84(constB79, bitIndex0)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10340, 10158, 10333])).
% 19.52/13.15 tff(10342,plain,
% 19.52/13.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2) | v145(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2) | v145(constB79))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10343,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2) | v145(constB79))),
% 19.52/13.15 inference(quant_inst,[status(thm)],[])).
% 19.52/13.15 tff(10344,plain,
% 19.52/13.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2) | v145(constB79)),
% 19.52/13.15 inference(modus_ponens,[status(thm)],[10343, 10342])).
% 19.52/13.15 tff(10345,plain,
% 19.52/13.15 (v145(constB79)),
% 19.52/13.15 inference(unit_resolution,[status(thm)],[10344, 624, 10341, 10182, 10332])).
% 19.52/13.15 tff(10346,plain,
% 19.52/13.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB79, bitIndex1) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB79, bitIndex1) | (~v116(constB79)))),
% 19.52/13.15 inference(rewrite,[status(thm)],[])).
% 19.52/13.15 tff(10347,plain,
% 19.52/13.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB79, bitIndex1) | (~v116(constB79)))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10348,plain,
% 19.52/13.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB79, bitIndex1) | (~v116(constB79))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10347, 10346])).
% 19.52/13.16 tff(10349,plain,
% 19.52/13.16 (~v116(constB79)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10348, 9655, 10182])).
% 19.52/13.16 tff(10350,plain,
% 19.52/13.16 (v121(constB79, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10245, 10349, 10102, 10203, 10202, 10101])).
% 19.52/13.16 tff(10351,plain,
% 19.52/13.16 (v124(constB79, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[9183, 10350])).
% 19.52/13.16 tff(10352,plain,
% 19.52/13.16 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB79)) | (~v124(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB79)) | (~v124(constB79, bitIndex0)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10353,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB79)) | (~v124(constB79, bitIndex0)))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10354,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB79)) | (~v124(constB79, bitIndex0))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10353, 10352])).
% 19.52/13.16 tff(10355,plain,
% 19.52/13.16 ($false),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10354, 871, 10351, 10345])).
% 19.52/13.16 tff(10356,plain,(v94(constB80) | v115(constB81) | v118(constB79) | v172(constB79) | v84(constB81, bitIndex2) | v84(constB80, bitIndex1) | (~v84(constB80, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 19.52/13.16 tff(10357,plain,
% 19.52/13.16 (v94(constB80)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10356, 10307, 9914, 9742, 10331, 10320, 10318])).
% 19.52/13.16 tff(10358,plain,
% 19.52/13.16 (v123(constB80, bitIndex0) | (~v94(constB80))),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[9195, 918, 10318])).
% 19.52/13.16 tff(10359,plain,
% 19.52/13.16 (v123(constB80, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10358, 10357])).
% 19.52/13.16 tff(10360,plain,
% 19.52/13.16 (v121(constB79, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[9188, 10359])).
% 19.52/13.16 tff(10361,plain,
% 19.52/13.16 (v124(constB79, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[9183, 10360])).
% 19.52/13.16 tff(10362,plain,
% 19.52/13.16 (~v145(constB79)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10354, 871, 10361])).
% 19.52/13.16 tff(10363,assumption,(~v84(constB79, bitIndex1)), introduced(assumption)).
% 19.52/13.16 tff(10364,plain,
% 19.52/13.16 (~v84(constB78, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8942, 10363])).
% 19.52/13.16 tff(10365,assumption,(~v145(constB79)), introduced(assumption)).
% 19.52/13.16 tff(10366,assumption,(~v84(constB79, bitIndex0)), introduced(assumption)).
% 19.52/13.16 tff(10367,plain,
% 19.52/13.16 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10368,plain,
% 19.52/13.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10369,plain,
% 19.52/13.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 19.52/13.16 tff(10370,plain,
% 19.52/13.16 (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2))),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10369, 1446, 10202])).
% 19.52/13.16 tff(10371,plain,
% 19.52/13.16 (~v84(constB79, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10370, 10366, 10363])).
% 19.52/13.16 tff(10372,plain,
% 19.52/13.16 ($false),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10187, 10371, 10366, 10363])).
% 19.52/13.16 tff(10373,plain,(v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v113(constB79) | v172(constB79)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.16 tff(10374,plain,
% 19.52/13.16 (v84(constB79, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10373, 10363, 10183, 10202])).
% 19.52/13.16 tff(10375,plain,
% 19.52/13.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v118(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v118(constB79))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10376,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v118(constB79))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10377,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v118(constB79)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10376, 10375])).
% 19.52/13.16 tff(10378,plain,
% 19.52/13.16 ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2))),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10377, 1672, 10203])).
% 19.52/13.16 tff(10379,plain,
% 19.52/13.16 (~v84(constB79, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10378, 10374, 10363])).
% 19.52/13.16 tff(10380,plain,
% 19.52/13.16 ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10344, 624, 10365])).
% 19.52/13.16 tff(10381,plain,
% 19.52/13.16 ($false),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10380, 10379, 10374, 10363])).
% 19.52/13.16 tff(10382,plain,(v84(constB79, bitIndex1) | v145(constB79) | v118(constB79) | v113(constB79) | v172(constB79)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.16 tff(10383,plain,
% 19.52/13.16 (v113(constB79)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10382, 10363, 10202, 10203, 10365])).
% 19.52/13.16 tff(10384,plain,
% 19.52/13.16 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 19.52/13.16 inference(bind,[status(th)],[])).
% 19.52/13.16 tff(10385,plain,
% 19.52/13.16 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 19.52/13.16 inference(quant_intro,[status(thm)],[10384])).
% 19.52/13.16 tff(10386,plain,
% 19.52/13.16 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10387,plain,
% 19.52/13.16 (^[VarCurr: $i] : rewrite(((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 19.52/13.16 inference(bind,[status(th)],[])).
% 19.52/13.16 tff(10388,plain,
% 19.52/13.16 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 19.52/13.16 inference(quant_intro,[status(thm)],[10387])).
% 19.52/13.16 tff(10389,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 19.52/13.16 tff(10390,plain,
% 19.52/13.16 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 19.52/13.16 tff(10391,plain,
% 19.52/13.16 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10390, 10386])).
% 19.52/13.16 tff(10392,plain,(
% 19.52/13.16 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 19.52/13.16 inference(skolemize,[status(sab)],[10391])).
% 19.52/13.16 tff(10393,plain,
% 19.52/13.16 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10392, 10385])).
% 19.52/13.16 tff(10394,plain,
% 19.52/13.16 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB79)) | (~v84(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB79)) | (~v84(constB79, bitIndex2)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10395,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB79)) | (~v84(constB79, bitIndex2)))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10396,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB79)) | (~v84(constB79, bitIndex2))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10395, 10394])).
% 19.52/13.16 tff(10397,plain,
% 19.52/13.16 (~v84(constB79, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10396, 10393, 10383])).
% 19.52/13.16 tff(10398,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10399,plain,
% 19.52/13.16 (((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2)) <=> ((~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10400,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2)))),
% 19.52/13.16 inference(monotonicity,[status(thm)],[10399])).
% 19.52/13.16 tff(10401,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2))),
% 19.52/13.16 inference(transitivity,[status(thm)],[10400, 10398])).
% 19.52/13.16 tff(10402,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10403,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB78, bitIndex2)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex2)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10402, 10401])).
% 19.52/13.16 tff(10404,plain,
% 19.52/13.16 ((~v84(constB78, bitIndex2)) | v94(constB79) | v84(constB79, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10403, 1339, 8891])).
% 19.52/13.16 tff(10405,plain,
% 19.52/13.16 ((~v84(constB78, bitIndex2)) | v84(constB79, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10404, 8903])).
% 19.52/13.16 tff(10406,plain,
% 19.52/13.16 (~v84(constB78, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10405, 10397])).
% 19.52/13.16 tff(10407,plain,
% 19.52/13.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB79, bitIndex0)) | (~v113(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB79, bitIndex0)) | (~v113(constB79)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10408,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB79, bitIndex0)) | (~v113(constB79)))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10409,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB79, bitIndex0)) | (~v113(constB79))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 19.52/13.16 tff(10410,plain,
% 19.52/13.16 (~v84(constB79, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10409, 10136, 10383])).
% 19.52/13.16 tff(10411,plain,
% 19.52/13.16 (~v84(constB78, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[9015, 10410])).
% 19.52/13.16 tff(10412,assumption,(~v84(constB78, bitIndex2)), introduced(assumption)).
% 19.52/13.16 tff(10413,assumption,(~v84(constB78, bitIndex0)), introduced(assumption)).
% 19.52/13.16 tff(10414,assumption,(~v84(constB78, bitIndex1)), introduced(assumption)).
% 19.52/13.16 tff(10415,assumption,(v84(constB77, bitIndex1)), introduced(assumption)).
% 19.52/13.16 tff(10416,plain,
% 19.52/13.16 (~v113(constB77)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8964, 1990, 10415])).
% 19.52/13.16 tff(10417,plain,
% 19.52/13.16 (~v118(constB77)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8960, 2001, 10415])).
% 19.52/13.16 tff(10418,plain,
% 19.52/13.16 (~v172(constB77)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8952, 2023, 10415])).
% 19.52/13.16 tff(10419,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex1))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10420,plain,
% 19.52/13.16 (((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex1)) | v94(constB78) | v84(constB78, bitIndex1)) <=> ((~v84(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex1))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10421,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex1)) | v94(constB78) | v84(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex1)))),
% 19.52/13.16 inference(monotonicity,[status(thm)],[10420])).
% 19.52/13.16 tff(10422,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex1)) | v94(constB78) | v84(constB78, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex1))),
% 19.52/13.16 inference(transitivity,[status(thm)],[10421, 10419])).
% 19.52/13.16 tff(10423,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex1)) | v94(constB78) | v84(constB78, bitIndex1))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10424,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB77, bitIndex1)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex1)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10423, 10422])).
% 19.52/13.16 tff(10425,plain,
% 19.52/13.16 ((~v84(constB77, bitIndex1)) | v94(constB78) | v84(constB78, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10424, 852, 8826])).
% 19.52/13.16 tff(10426,plain,
% 19.52/13.16 (v94(constB78)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10425, 10415, 10414])).
% 19.52/13.16 tff(10427,plain,
% 19.52/13.16 ((~v123(constB78, bitIndex0)) | (~v94(constB78))),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[9005, 587, 10413])).
% 19.52/13.16 tff(10428,plain,
% 19.52/13.16 (~v123(constB78, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10427, 10426])).
% 19.52/13.16 tff(10429,plain,
% 19.52/13.16 (~v121(constB77, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8998, 10428])).
% 19.52/13.16 tff(10430,plain,
% 19.52/13.16 (~v124(constB77, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8993, 10429])).
% 19.52/13.16 tff(10431,plain,
% 19.52/13.16 ((~v123(constB78, bitIndex1)) | (~v94(constB78))),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8932, 834, 10414])).
% 19.52/13.16 tff(10432,plain,
% 19.52/13.16 (~v123(constB78, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10431, 10426])).
% 19.52/13.16 tff(10433,plain,
% 19.52/13.16 (~v121(constB77, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8925, 10432])).
% 19.52/13.16 tff(10434,plain,
% 19.52/13.16 (~v124(constB77, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8920, 10433])).
% 19.52/13.16 tff(10435,plain,
% 19.52/13.16 (~v115(constB77)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8915, 1094, 10434])).
% 19.52/13.16 tff(10436,plain,
% 19.52/13.16 (~v145(constB77)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8968, 2012, 10415])).
% 19.52/13.16 tff(10437,plain,
% 19.52/13.16 (v116(constB77)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8981, 2149, 10436, 10435, 10430, 10418, 10417, 10416])).
% 19.52/13.16 tff(10438,plain,
% 19.52/13.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10439,plain,
% 19.52/13.16 ((v84(constB78, bitIndex2) | (~v94(constB78)) | (~v123(constB78, bitIndex2))) <=> (v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10440,plain,
% 19.52/13.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v94(constB78)) | (~v123(constB78, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78))))),
% 19.52/13.16 inference(monotonicity,[status(thm)],[10439])).
% 19.52/13.16 tff(10441,plain,
% 19.52/13.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v94(constB78)) | (~v123(constB78, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78)))),
% 19.52/13.16 inference(transitivity,[status(thm)],[10440, 10438])).
% 19.52/13.16 tff(10442,plain,
% 19.52/13.16 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~v94(constB78)) | (~v123(constB78, bitIndex2)))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10443,plain,
% 19.52/13.16 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~v123(constB78, bitIndex2)) | (~v94(constB78))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 19.52/13.16 tff(10444,plain,
% 19.52/13.16 ((~v123(constB78, bitIndex2)) | (~v94(constB78))),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10443, 1303, 10412])).
% 19.52/13.16 tff(10445,plain,
% 19.52/13.16 (~v123(constB78, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10444, 10426])).
% 19.52/13.16 tff(10446,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10447,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10448,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10447, 10446])).
% 19.52/13.16 tff(10449,plain,
% 19.52/13.16 ((~v121(constB77, bitIndex2)) | v123(constB78, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10448, 1288, 8826])).
% 19.52/13.16 tff(10450,plain,
% 19.52/13.16 (~v121(constB77, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10449, 10445])).
% 19.52/13.16 tff(10451,plain,
% 19.52/13.16 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB77) | (~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB77) | (~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10452,plain,
% 19.52/13.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB77) | (~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10453,plain,
% 19.52/13.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB77) | (~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10452, 10451])).
% 19.52/13.16 tff(10454,plain,
% 19.52/13.16 ((~v124(constB77, bitIndex2)) | v121(constB77, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10453, 1273, 8811])).
% 19.52/13.16 tff(10455,plain,
% 19.52/13.16 (~v124(constB77, bitIndex2)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10454, 10450])).
% 19.52/13.16 tff(10456,plain,
% 19.52/13.16 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB77)) | v124(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB77)) | v124(constB77, bitIndex2))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10457,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB77)) | v124(constB77, bitIndex2))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10458,plain,
% 19.52/13.16 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB77)) | v124(constB77, bitIndex2)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10457, 10456])).
% 19.52/13.16 tff(10459,plain,
% 19.52/13.16 ($false),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10458, 1259, 10455, 10437])).
% 19.52/13.16 tff(10460,plain,((~v84(constB77, bitIndex1)) | v84(constB78, bitIndex2) | v84(constB78, bitIndex0) | v84(constB78, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.16 tff(10461,plain,
% 19.52/13.16 (~v84(constB77, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10460, 10412, 10413, 10414])).
% 19.52/13.16 tff(10462,assumption,(~v84(constB77, bitIndex1)), introduced(assumption)).
% 19.52/13.16 tff(10463,plain,
% 19.52/13.16 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB77, bitIndex1) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB77, bitIndex1) | (~v115(constB77)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10464,plain,
% 19.52/13.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB77, bitIndex1) | (~v115(constB77)))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10465,plain,
% 19.52/13.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB77, bitIndex1) | (~v115(constB77))),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10464, 10463])).
% 19.52/13.16 tff(10466,plain,
% 19.52/13.16 (~v115(constB77)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10465, 10049, 10462])).
% 19.52/13.16 tff(10467,plain,
% 19.52/13.16 (~v84(constB76, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8754, 10462])).
% 19.52/13.16 tff(10468,assumption,(~v84(constB76, bitIndex1)), introduced(assumption)).
% 19.52/13.16 tff(10469,assumption,(~v94(constB76)), introduced(assumption)).
% 19.52/13.16 tff(10470,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10471,plain,
% 19.52/13.16 (((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1)) <=> ((~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10472,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1)))),
% 19.52/13.16 inference(monotonicity,[status(thm)],[10471])).
% 19.52/13.16 tff(10473,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1))),
% 19.52/13.16 inference(transitivity,[status(thm)],[10472, 10470])).
% 19.52/13.16 tff(10474,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10475,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB75, bitIndex1)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex1)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10474, 10473])).
% 19.52/13.16 tff(10476,plain,
% 19.52/13.16 ((~v84(constB75, bitIndex1)) | v94(constB76) | v84(constB76, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10475, 852, 8392])).
% 19.52/13.16 tff(10477,plain,
% 19.52/13.16 (~v84(constB75, bitIndex1)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10476, 10469, 10468])).
% 19.52/13.16 tff(10478,plain,
% 19.52/13.16 (~v104(constB76)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8559, 10469])).
% 19.52/13.16 tff(10479,plain,
% 19.52/13.16 (~v102(constB75)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8533, 10478])).
% 19.52/13.16 tff(10480,plain,
% 19.52/13.16 ($false),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[8525, 10479, 10477])).
% 19.52/13.16 tff(10481,plain,(v94(constB76) | v84(constB76, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.16 tff(10482,plain,
% 19.52/13.16 (v94(constB76)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10481, 10467])).
% 19.52/13.16 tff(10483,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10484,plain,
% 19.52/13.16 (((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0)) <=> ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10485,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0)))),
% 19.52/13.16 inference(monotonicity,[status(thm)],[10484])).
% 19.52/13.16 tff(10486,plain,
% 19.52/13.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0))),
% 19.52/13.16 inference(transitivity,[status(thm)],[10485, 10483])).
% 19.52/13.16 tff(10487,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0))),
% 19.52/13.16 inference(quant_inst,[status(thm)],[])).
% 19.52/13.16 tff(10488,plain,
% 19.52/13.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex0)),
% 19.52/13.16 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 19.52/13.16 tff(10489,plain,
% 19.52/13.16 ((~v84(constB76, bitIndex0)) | v94(constB77) | v84(constB77, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10488, 605, 8668])).
% 19.52/13.16 tff(10490,plain,
% 19.52/13.16 ((~v84(constB76, bitIndex0)) | v84(constB77, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10489, 8680])).
% 19.52/13.16 tff(10491,plain,
% 19.52/13.16 (~v84(constB76, bitIndex0)),
% 19.52/13.16 inference(unit_resolution,[status(thm)],[10490, 8741])).
% 19.52/13.16 tff(10492,plain,
% 19.52/13.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10493,plain,
% 19.52/13.16 ((v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0))) <=> (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 19.52/13.16 inference(rewrite,[status(thm)],[])).
% 19.52/13.16 tff(10494,plain,
% 19.52/13.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76))))),
% 19.52/13.16 inference(monotonicity,[status(thm)],[10493])).
% 19.52/13.16 tff(10495,plain,
% 19.52/13.16 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76)))),
% 19.52/13.16 inference(transitivity,[status(thm)],[10494, 10492])).
% 19.52/13.17 tff(10496,plain,
% 19.52/13.17 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~v94(constB76)) | (~v123(constB76, bitIndex0)))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10497,plain,
% 19.52/13.17 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0)) | (~v94(constB76))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10496, 10495])).
% 19.52/13.17 tff(10498,plain,
% 19.52/13.17 (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0))),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10497, 587, 10482])).
% 19.52/13.17 tff(10499,plain,
% 19.52/13.17 (~v123(constB76, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10498, 10491])).
% 19.52/13.17 tff(10500,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10501,plain,
% 19.52/13.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10502,plain,
% 19.52/13.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 19.52/13.17 tff(10503,plain,
% 19.52/13.17 ((~v121(constB75, bitIndex0)) | v123(constB76, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10502, 572, 8392])).
% 19.52/13.17 tff(10504,plain,
% 19.52/13.17 (~v121(constB75, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10503, 10499])).
% 19.52/13.17 tff(10505,plain,
% 19.52/13.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10506,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10507,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB75) | (~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10506, 10505])).
% 19.52/13.17 tff(10508,plain,
% 19.52/13.17 ((~v124(constB75, bitIndex0)) | v121(constB75, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10507, 557, 8616])).
% 19.52/13.17 tff(10509,plain,
% 19.52/13.17 (~v124(constB75, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10508, 10504])).
% 19.52/13.17 tff(10510,plain,
% 19.52/13.17 (v84(constB76, bitIndex2)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[8786, 10509, 10482, 10466, 8741])).
% 19.52/13.17 tff(10511,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex2))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10512,plain,
% 19.52/13.17 (((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex2)) | v94(constB77) | v84(constB77, bitIndex2)) <=> ((~v84(constB76, bitIndex2)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex2))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10513,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex2)) | v94(constB77) | v84(constB77, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB76, bitIndex2)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex2)))),
% 19.52/13.17 inference(monotonicity,[status(thm)],[10512])).
% 19.52/13.17 tff(10514,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex2)) | v94(constB77) | v84(constB77, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex2))),
% 19.52/13.17 inference(transitivity,[status(thm)],[10513, 10511])).
% 19.52/13.17 tff(10515,plain,
% 19.52/13.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex2)) | v94(constB77) | v84(constB77, bitIndex2))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10516,plain,
% 19.52/13.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB76, bitIndex2)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex2)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10515, 10514])).
% 19.52/13.17 tff(10517,plain,
% 19.52/13.17 ((~v84(constB76, bitIndex2)) | v94(constB77) | v84(constB77, bitIndex2)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10516, 1339, 8668])).
% 19.52/13.17 tff(10518,plain,
% 19.52/13.17 ((~v84(constB76, bitIndex2)) | v84(constB77, bitIndex2)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10517, 8680])).
% 19.52/13.17 tff(10519,plain,
% 19.52/13.17 (v84(constB77, bitIndex2)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10518, 10510])).
% 19.52/13.17 tff(10520,plain,
% 19.52/13.17 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v172(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v172(constB77))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10521,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v172(constB77))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10522,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v172(constB77)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10521, 10520])).
% 19.52/13.17 tff(10523,plain,
% 19.52/13.17 (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex2)) | v172(constB77)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10522, 1446, 10462])).
% 19.52/13.17 tff(10524,plain,
% 19.52/13.17 (v172(constB77)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10523, 10519, 8741])).
% 19.52/13.17 tff(10525,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex2))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10526,plain,
% 19.52/13.17 (((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex2)) | v94(constB78) | v84(constB78, bitIndex2)) <=> ((~v84(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex2))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10527,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex2)) | v94(constB78) | v84(constB78, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex2)))),
% 19.52/13.17 inference(monotonicity,[status(thm)],[10526])).
% 19.52/13.17 tff(10528,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex2)) | v94(constB78) | v84(constB78, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex2))),
% 19.52/13.17 inference(transitivity,[status(thm)],[10527, 10525])).
% 19.52/13.17 tff(10529,plain,
% 19.52/13.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex2)) | v94(constB78) | v84(constB78, bitIndex2))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10530,plain,
% 19.52/13.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB77, bitIndex2)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex2)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10529, 10528])).
% 19.52/13.17 tff(10531,plain,
% 19.52/13.17 ((~v84(constB77, bitIndex2)) | v94(constB78) | v84(constB78, bitIndex2)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10530, 1339, 8826])).
% 19.52/13.17 tff(10532,plain,
% 19.52/13.17 (v94(constB78)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10531, 10519, 10412])).
% 19.52/13.17 tff(10533,plain,
% 19.52/13.17 (~v123(constB78, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10427, 10532])).
% 19.52/13.17 tff(10534,plain,
% 19.52/13.17 (~v121(constB77, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[8998, 10533])).
% 19.52/13.17 tff(10535,plain,
% 19.52/13.17 (~v124(constB77, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[8993, 10534])).
% 19.52/13.17 tff(10536,plain,
% 19.52/13.17 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB77)) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB77)) | v124(constB77, bitIndex0))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10537,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB77)) | v124(constB77, bitIndex0))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10538,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB77)) | v124(constB77, bitIndex0)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10537, 10536])).
% 19.52/13.17 tff(10539,plain,
% 19.52/13.17 ($false),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10538, 1631, 10535, 10524])).
% 19.52/13.17 tff(10540,plain,(v84(constB77, bitIndex0) | v84(constB78, bitIndex0) | v84(constB77, bitIndex1) | v84(constB78, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.17 tff(10541,plain,
% 19.52/13.17 (v84(constB77, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10540, 10461, 10413, 10412])).
% 19.52/13.17 tff(10542,plain,
% 19.52/13.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v113(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v113(constB77)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10543,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v113(constB77)))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10544,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v113(constB77))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 19.52/13.17 tff(10545,plain,
% 19.52/13.17 (~v113(constB77)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10544, 10136, 10541])).
% 19.52/13.17 tff(10546,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB77, bitIndex0)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB77, bitIndex0)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex0))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10547,plain,
% 19.52/13.17 (((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex0)) | v94(constB78) | v84(constB78, bitIndex0)) <=> ((~v84(constB77, bitIndex0)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex0))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10548,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex0)) | v94(constB78) | v84(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB77, bitIndex0)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex0)))),
% 19.52/13.17 inference(monotonicity,[status(thm)],[10547])).
% 19.52/13.17 tff(10549,plain,
% 19.52/13.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex0)) | v94(constB78) | v84(constB78, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB77, bitIndex0)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex0))),
% 19.52/13.17 inference(transitivity,[status(thm)],[10548, 10546])).
% 19.52/13.17 tff(10550,plain,
% 19.52/13.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v84(constB77, bitIndex0)) | v94(constB78) | v84(constB78, bitIndex0))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10551,plain,
% 19.52/13.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB77, bitIndex0)) | (~nextState(constB77, constB78)) | v94(constB78) | v84(constB78, bitIndex0)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 19.52/13.17 tff(10552,plain,
% 19.52/13.17 ((~v84(constB77, bitIndex0)) | v94(constB78) | v84(constB78, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10551, 605, 8826])).
% 19.52/13.17 tff(10553,plain,
% 19.52/13.17 (v94(constB78)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10552, 10541, 10413])).
% 19.52/13.17 tff(10554,plain,
% 19.52/13.17 (~v123(constB78, bitIndex1)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10431, 10553])).
% 19.52/13.17 tff(10555,plain,
% 19.52/13.17 (~v121(constB77, bitIndex1)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[8925, 10554])).
% 19.52/13.17 tff(10556,plain,
% 19.52/13.17 (~v124(constB77, bitIndex1)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[8920, 10555])).
% 19.52/13.17 tff(10557,plain,
% 19.52/13.17 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB77)) | v124(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB77)) | v124(constB77, bitIndex1))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10558,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB77)) | v124(constB77, bitIndex1))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10559,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB77)) | v124(constB77, bitIndex1)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 19.52/13.17 tff(10560,plain,
% 19.52/13.17 (~v118(constB77)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10559, 1809, 10556])).
% 19.52/13.17 tff(10561,plain,
% 19.52/13.17 (~v123(constB78, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10427, 10553])).
% 19.52/13.17 tff(10562,plain,
% 19.52/13.17 (~v121(constB77, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[8998, 10561])).
% 19.52/13.17 tff(10563,plain,
% 19.52/13.17 (~v124(constB77, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[8993, 10562])).
% 19.52/13.17 tff(10564,plain,
% 19.52/13.17 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))))),
% 19.52/13.17 inference(bind,[status(th)],[])).
% 19.52/13.17 tff(10565,plain,
% 19.52/13.17 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 19.52/13.17 inference(quant_intro,[status(thm)],[10564])).
% 19.52/13.17 tff(10566,plain,
% 19.52/13.17 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10567,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 19.52/13.17 tff(10568,plain,
% 19.52/13.17 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10567, 10566])).
% 19.52/13.17 tff(10569,plain,(
% 19.52/13.17 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 19.52/13.17 inference(skolemize,[status(sab)],[10568])).
% 19.52/13.17 tff(10570,plain,
% 19.52/13.17 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10569, 10565])).
% 19.52/13.17 tff(10571,plain,
% 19.52/13.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v172(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v172(constB77)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10572,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v172(constB77)))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10573,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v172(constB77))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10572, 10571])).
% 19.52/13.17 tff(10574,plain,
% 19.52/13.17 (~v172(constB77)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10573, 10570, 10541])).
% 19.52/13.17 tff(10575,plain,
% 19.52/13.17 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB77)) | v124(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB77)) | v124(constB77, bitIndex1))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10576,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB77)) | v124(constB77, bitIndex1))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10577,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB77)) | v124(constB77, bitIndex1)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10576, 10575])).
% 19.52/13.17 tff(10578,plain,
% 19.52/13.17 (~v145(constB77)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10577, 790, 10556])).
% 19.52/13.17 tff(10579,plain,
% 19.52/13.17 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB77, bitIndex1) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB77, bitIndex1) | (~v116(constB77)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10580,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB77, bitIndex1) | (~v116(constB77)))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10581,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB77, bitIndex1) | (~v116(constB77))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10580, 10579])).
% 19.52/13.17 tff(10582,plain,
% 19.52/13.17 (~v116(constB77)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10581, 9655, 10461])).
% 19.52/13.17 tff(10583,plain,
% 19.52/13.17 (~v115(constB77)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10465, 10049, 10461])).
% 19.52/13.17 tff(10584,plain,
% 19.52/13.17 (v145(constB77) | v172(constB77) | v118(constB77) | v113(constB77) | v124(constB77, bitIndex0)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[8981, 2149, 10583, 10582])).
% 19.52/13.17 tff(10585,plain,
% 19.52/13.17 ($false),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10584, 10578, 10574, 10563, 10560, 10545])).
% 19.52/13.17 tff(10586,plain,(v84(constB78, bitIndex2) | v84(constB78, bitIndex0) | v84(constB78, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.17 tff(10587,plain,
% 19.52/13.17 ($false),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10586, 10411, 10406, 10364])).
% 19.52/13.17 tff(10588,plain,(v84(constB79, bitIndex1) | v172(constB79) | v118(constB79) | v145(constB79)), inference(lemma,lemma(discharge,[]))).
% 19.52/13.17 tff(10589,plain,
% 19.52/13.17 (v84(constB79, bitIndex1)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10588, 10362, 9914, 9742])).
% 19.52/13.17 tff(10590,plain,
% 19.52/13.17 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB79)) | (~v84(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB79)) | (~v84(constB79, bitIndex1)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10591,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB79)) | (~v84(constB79, bitIndex1)))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10592,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB79)) | (~v84(constB79, bitIndex1))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10591, 10590])).
% 19.52/13.17 tff(10593,plain,
% 19.52/13.17 (~v113(constB79)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10592, 1990, 10589])).
% 19.52/13.17 tff(10594,plain,
% 19.52/13.17 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr)))),
% 19.52/13.17 inference(bind,[status(th)],[])).
% 19.52/13.17 tff(10595,plain,
% 19.52/13.17 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 19.52/13.17 inference(quant_intro,[status(thm)],[10594])).
% 19.52/13.17 tff(10596,plain,
% 19.52/13.17 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10597,plain,
% 19.52/13.17 (^[VarCurr: $i] : trans(monotonicity(rewrite((v145(VarCurr) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr))), (((v145(VarCurr) | v113(VarCurr)) | (~v112(VarCurr))) <=> ((v113(VarCurr) | v145(VarCurr)) | (~v112(VarCurr))))), rewrite(((v113(VarCurr) | v145(VarCurr)) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))), (((v145(VarCurr) | v113(VarCurr)) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))))),
% 19.52/13.17 inference(bind,[status(th)],[])).
% 19.52/13.17 tff(10598,plain,
% 19.52/13.17 (![VarCurr: $i] : ((v145(VarCurr) | v113(VarCurr)) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 19.52/13.17 inference(quant_intro,[status(thm)],[10597])).
% 19.52/13.17 tff(10599,axiom,(![VarCurr: $i] : ((v145(VarCurr) | v113(VarCurr)) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_3')).
% 19.52/13.17 tff(10600,plain,
% 19.52/13.17 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10599, 10598])).
% 19.52/13.17 tff(10601,plain,
% 19.52/13.17 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10600, 10596])).
% 19.52/13.17 tff(10602,plain,(
% 19.52/13.17 ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 19.52/13.17 inference(skolemize,[status(sab)],[10601])).
% 19.52/13.17 tff(10603,plain,
% 19.52/13.17 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10602, 10595])).
% 19.52/13.17 tff(10604,plain,
% 19.52/13.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB79) | v113(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB79) | v113(constB79) | (~v112(constB79)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10605,plain,
% 19.52/13.17 ((v113(constB79) | (~v112(constB79)) | v145(constB79)) <=> (v145(constB79) | v113(constB79) | (~v112(constB79)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10606,plain,
% 19.52/13.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB79) | (~v112(constB79)) | v145(constB79))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB79) | v113(constB79) | (~v112(constB79))))),
% 19.52/13.17 inference(monotonicity,[status(thm)],[10605])).
% 19.52/13.17 tff(10607,plain,
% 19.52/13.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB79) | (~v112(constB79)) | v145(constB79))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB79) | v113(constB79) | (~v112(constB79)))),
% 19.52/13.17 inference(transitivity,[status(thm)],[10606, 10604])).
% 19.52/13.17 tff(10608,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB79) | (~v112(constB79)) | v145(constB79))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10609,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB79) | v113(constB79) | (~v112(constB79))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10608, 10607])).
% 19.52/13.17 tff(10610,plain,
% 19.52/13.17 (v113(constB79) | (~v112(constB79))),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10609, 10603, 10362])).
% 19.52/13.17 tff(10611,plain,
% 19.52/13.17 (~v112(constB79)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10610, 10593])).
% 19.52/13.17 tff(10612,plain,
% 19.52/13.17 ((~v123(constB80, bitIndex1)) | (~v94(constB80))),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[9774, 834, 10320])).
% 19.52/13.17 tff(10613,plain,
% 19.52/13.17 (~v123(constB80, bitIndex1)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10612, 10357])).
% 19.52/13.17 tff(10614,plain,
% 19.52/13.17 (~v121(constB79, bitIndex1)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[9767, 10613])).
% 19.52/13.17 tff(10615,plain,
% 19.52/13.17 (~v124(constB79, bitIndex1)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[9762, 10614])).
% 19.52/13.17 tff(10616,plain,
% 19.52/13.17 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB79)) | v124(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB79)) | v124(constB79, bitIndex1))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10617,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB79)) | v124(constB79, bitIndex1))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10618,plain,
% 19.52/13.17 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB79)) | v124(constB79, bitIndex1)),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 19.52/13.17 tff(10619,plain,
% 19.52/13.17 (~v115(constB79)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10618, 1094, 10615])).
% 19.52/13.17 tff(10620,plain,
% 19.52/13.17 (^[VarCurr: $i] : refl((v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))))),
% 19.52/13.17 inference(bind,[status(th)],[])).
% 19.52/13.17 tff(10621,plain,
% 19.52/13.17 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 19.52/13.17 inference(quant_intro,[status(thm)],[10620])).
% 19.52/13.17 tff(10622,plain,
% 19.52/13.17 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10623,plain,
% 19.52/13.17 (^[VarCurr: $i] : trans(monotonicity(rewrite((v115(VarCurr) | v112(VarCurr)) <=> (v112(VarCurr) | v115(VarCurr))), (((v115(VarCurr) | v112(VarCurr)) | (~v111(VarCurr))) <=> ((v112(VarCurr) | v115(VarCurr)) | (~v111(VarCurr))))), rewrite(((v112(VarCurr) | v115(VarCurr)) | (~v111(VarCurr))) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))), (((v115(VarCurr) | v112(VarCurr)) | (~v111(VarCurr))) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))))),
% 19.52/13.17 inference(bind,[status(th)],[])).
% 19.52/13.17 tff(10624,plain,
% 19.52/13.17 (![VarCurr: $i] : ((v115(VarCurr) | v112(VarCurr)) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 19.52/13.17 inference(quant_intro,[status(thm)],[10623])).
% 19.52/13.17 tff(10625,axiom,(![VarCurr: $i] : ((v115(VarCurr) | v112(VarCurr)) | (~v111(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 19.52/13.17 tff(10626,plain,
% 19.52/13.17 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10625, 10624])).
% 19.52/13.17 tff(10627,plain,
% 19.52/13.17 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10626, 10622])).
% 19.52/13.17 tff(10628,plain,(
% 19.52/13.17 ![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 19.52/13.17 inference(skolemize,[status(sab)],[10627])).
% 19.52/13.17 tff(10629,plain,
% 19.52/13.17 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10628, 10621])).
% 19.52/13.17 tff(10630,plain,
% 19.52/13.17 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB79) | v115(constB79) | (~v111(constB79)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB79) | v115(constB79) | (~v111(constB79)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10631,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB79) | v115(constB79) | (~v111(constB79)))),
% 19.52/13.17 inference(quant_inst,[status(thm)],[])).
% 19.52/13.17 tff(10632,plain,
% 19.52/13.17 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB79) | v115(constB79) | (~v111(constB79))),
% 19.52/13.17 inference(modus_ponens,[status(thm)],[10631, 10630])).
% 19.52/13.17 tff(10633,plain,
% 19.52/13.17 (v112(constB79) | (~v111(constB79))),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10632, 10629, 10619])).
% 19.52/13.17 tff(10634,plain,
% 19.52/13.17 (~v111(constB79)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[10633, 10611])).
% 19.52/13.17 tff(10635,plain,
% 19.52/13.17 (~v116(constB79)),
% 19.52/13.17 inference(unit_resolution,[status(thm)],[9175, 1402, 10361])).
% 19.52/13.17 tff(10636,plain,
% 19.52/13.17 (^[VarCurr: $i] : refl((v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))))),
% 19.52/13.17 inference(bind,[status(th)],[])).
% 19.52/13.17 tff(10637,plain,
% 19.52/13.17 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 19.52/13.17 inference(quant_intro,[status(thm)],[10636])).
% 19.52/13.17 tff(10638,plain,
% 19.52/13.17 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 19.52/13.17 inference(rewrite,[status(thm)],[])).
% 19.52/13.17 tff(10639,plain,
% 19.52/13.17 (^[VarCurr: $i] : trans(monotonicity(rewrite((v116(VarCurr) | v111(VarCurr)) <=> (v111(VarCurr) | v116(VarCurr))), (((v116(VarCurr) | v111(VarCurr)) | (~v110(VarCurr))) <=> ((v111(VarCurr) | v116(VarCurr)) | (~v110(VarCurr))))), rewrite(((v111(VarCurr) | v116(VarCurr)) | (~v110(VarCurr))) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))), (((v116(VarCurr) | v111(VarCurr)) | (~v110(VarCurr))) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))))),
% 19.52/13.17 inference(bind,[status(th)],[])).
% 19.52/13.17 tff(10640,plain,
% 19.52/13.17 (![VarCurr: $i] : ((v116(VarCurr) | v111(VarCurr)) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 19.52/13.17 inference(quant_intro,[status(thm)],[10639])).
% 19.52/13.17 tff(10641,axiom,(![VarCurr: $i] : ((v116(VarCurr) | v111(VarCurr)) | (~v110(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 19.52/13.17 tff(10642,plain,
% 19.52/13.17 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10641, 10640])).
% 19.60/13.17 tff(10643,plain,
% 19.60/13.17 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10642, 10638])).
% 19.60/13.17 tff(10644,plain,(
% 19.60/13.17 ![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 19.60/13.17 inference(skolemize,[status(sab)],[10643])).
% 19.60/13.17 tff(10645,plain,
% 19.60/13.17 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10644, 10637])).
% 19.60/13.17 tff(10646,plain,
% 19.60/13.17 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB79) | v116(constB79) | (~v110(constB79)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB79) | v116(constB79) | (~v110(constB79)))),
% 19.60/13.17 inference(rewrite,[status(thm)],[])).
% 19.60/13.17 tff(10647,plain,
% 19.60/13.17 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB79) | v116(constB79) | (~v110(constB79)))),
% 19.60/13.17 inference(quant_inst,[status(thm)],[])).
% 19.60/13.17 tff(10648,plain,
% 19.60/13.17 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB79) | v116(constB79) | (~v110(constB79))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10647, 10646])).
% 19.60/13.17 tff(10649,plain,
% 19.60/13.17 (v111(constB79) | (~v110(constB79))),
% 19.60/13.17 inference(unit_resolution,[status(thm)],[10648, 10645, 10635])).
% 19.60/13.17 tff(10650,plain,
% 19.60/13.17 (~v110(constB79)),
% 19.60/13.17 inference(unit_resolution,[status(thm)],[10649, 10634])).
% 19.60/13.17 tff(10651,plain,
% 19.60/13.17 (^[VarCurr: $i] : refl((v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr)) <=> (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr)))),
% 19.60/13.17 inference(bind,[status(th)],[])).
% 19.60/13.17 tff(10652,plain,
% 19.60/13.17 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 19.60/13.17 inference(quant_intro,[status(thm)],[10651])).
% 19.60/13.17 tff(10653,plain,
% 19.60/13.17 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 19.60/13.17 inference(rewrite,[status(thm)],[])).
% 19.60/13.17 tff(10654,plain,
% 19.60/13.17 (^[VarCurr: $i] : trans(monotonicity(rewrite((v172(VarCurr) | v110(VarCurr)) <=> (v110(VarCurr) | v172(VarCurr))), (((v172(VarCurr) | v110(VarCurr)) | (~v109(VarCurr))) <=> ((v110(VarCurr) | v172(VarCurr)) | (~v109(VarCurr))))), rewrite(((v110(VarCurr) | v172(VarCurr)) | (~v109(VarCurr))) <=> (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))), (((v172(VarCurr) | v110(VarCurr)) | (~v109(VarCurr))) <=> (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))))),
% 19.60/13.17 inference(bind,[status(th)],[])).
% 19.60/13.17 tff(10655,plain,
% 19.60/13.17 (![VarCurr: $i] : ((v172(VarCurr) | v110(VarCurr)) | (~v109(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 19.60/13.17 inference(quant_intro,[status(thm)],[10654])).
% 19.60/13.17 tff(10656,axiom,(![VarCurr: $i] : ((v172(VarCurr) | v110(VarCurr)) | (~v109(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_3')).
% 19.60/13.17 tff(10657,plain,
% 19.60/13.17 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10656, 10655])).
% 19.60/13.17 tff(10658,plain,
% 19.60/13.17 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10657, 10653])).
% 19.60/13.17 tff(10659,plain,(
% 19.60/13.17 ![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 19.60/13.17 inference(skolemize,[status(sab)],[10658])).
% 19.60/13.17 tff(10660,plain,
% 19.60/13.17 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10659, 10652])).
% 19.60/13.17 tff(10661,plain,
% 19.60/13.17 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB79) | v172(constB79) | (~v109(constB79)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | v110(constB79) | v172(constB79) | (~v109(constB79)))),
% 19.60/13.17 inference(rewrite,[status(thm)],[])).
% 19.60/13.17 tff(10662,plain,
% 19.60/13.17 ((v110(constB79) | (~v109(constB79)) | v172(constB79)) <=> (v110(constB79) | v172(constB79) | (~v109(constB79)))),
% 19.60/13.17 inference(rewrite,[status(thm)],[])).
% 19.60/13.17 tff(10663,plain,
% 19.60/13.17 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB79) | (~v109(constB79)) | v172(constB79))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB79) | v172(constB79) | (~v109(constB79))))),
% 19.60/13.17 inference(monotonicity,[status(thm)],[10662])).
% 19.60/13.17 tff(10664,plain,
% 19.60/13.17 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB79) | (~v109(constB79)) | v172(constB79))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | v110(constB79) | v172(constB79) | (~v109(constB79)))),
% 19.60/13.17 inference(transitivity,[status(thm)],[10663, 10661])).
% 19.60/13.17 tff(10665,plain,
% 19.60/13.17 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB79) | (~v109(constB79)) | v172(constB79))),
% 19.60/13.17 inference(quant_inst,[status(thm)],[])).
% 19.60/13.17 tff(10666,plain,
% 19.60/13.17 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | v110(constB79) | v172(constB79) | (~v109(constB79))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10665, 10664])).
% 19.60/13.17 tff(10667,plain,
% 19.60/13.17 (v110(constB79) | (~v109(constB79))),
% 19.60/13.17 inference(unit_resolution,[status(thm)],[10666, 10660, 9742])).
% 19.60/13.17 tff(10668,plain,
% 19.60/13.17 (~v109(constB79)),
% 19.60/13.17 inference(unit_resolution,[status(thm)],[10667, 10650])).
% 19.60/13.17 tff(10669,plain,
% 19.60/13.17 (^[VarCurr: $i] : refl((v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))))),
% 19.60/13.17 inference(bind,[status(th)],[])).
% 19.60/13.17 tff(10670,plain,
% 19.60/13.17 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 19.60/13.17 inference(quant_intro,[status(thm)],[10669])).
% 19.60/13.17 tff(10671,plain,
% 19.60/13.17 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 19.60/13.17 inference(rewrite,[status(thm)],[])).
% 19.60/13.17 tff(10672,plain,
% 19.60/13.17 (^[VarCurr: $i] : trans(monotonicity(rewrite((v118(VarCurr) | v109(VarCurr)) <=> (v109(VarCurr) | v118(VarCurr))), (((v118(VarCurr) | v109(VarCurr)) | (~v108(VarCurr))) <=> ((v109(VarCurr) | v118(VarCurr)) | (~v108(VarCurr))))), rewrite(((v109(VarCurr) | v118(VarCurr)) | (~v108(VarCurr))) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))), (((v118(VarCurr) | v109(VarCurr)) | (~v108(VarCurr))) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))))),
% 19.60/13.17 inference(bind,[status(th)],[])).
% 19.60/13.17 tff(10673,plain,
% 19.60/13.17 (![VarCurr: $i] : ((v118(VarCurr) | v109(VarCurr)) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 19.60/13.17 inference(quant_intro,[status(thm)],[10672])).
% 19.60/13.17 tff(10674,axiom,(![VarCurr: $i] : ((v118(VarCurr) | v109(VarCurr)) | (~v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 19.60/13.17 tff(10675,plain,
% 19.60/13.17 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 19.60/13.17 tff(10676,plain,
% 19.60/13.17 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10675, 10671])).
% 19.60/13.17 tff(10677,plain,(
% 19.60/13.17 ![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 19.60/13.17 inference(skolemize,[status(sab)],[10676])).
% 19.60/13.17 tff(10678,plain,
% 19.60/13.17 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 19.60/13.17 inference(modus_ponens,[status(thm)],[10677, 10670])).
% 19.60/13.17 tff(10679,plain,
% 19.60/13.17 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB79) | v118(constB79) | (~v108(constB79)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB79) | v118(constB79) | (~v108(constB79)))),
% 19.60/13.17 inference(rewrite,[status(thm)],[])).
% 19.60/13.17 tff(10680,plain,
% 19.60/13.17 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB79) | v118(constB79) | (~v108(constB79)))),
% 19.60/13.17 inference(quant_inst,[status(thm)],[])).
% 19.60/13.17 tff(10681,plain,
% 19.60/13.17 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB79) | v118(constB79) | (~v108(constB79))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 19.60/13.18 tff(10682,plain,
% 19.60/13.18 (v109(constB79) | (~v108(constB79))),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10681, 10678, 9914])).
% 19.60/13.18 tff(10683,plain,
% 19.60/13.18 (~v108(constB79)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10682, 10668])).
% 19.60/13.18 tff(10684,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v94(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v94(constB80)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10685,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v94(constB80)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10686,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v94(constB80))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10685, 10684])).
% 19.60/13.18 tff(10687,plain,
% 19.60/13.18 (v104(constB80) | (~v94(constB80))),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10686, 8420, 9055])).
% 19.60/13.18 tff(10688,plain,
% 19.60/13.18 (v104(constB80)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10687, 10357])).
% 19.60/13.18 tff(10689,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10690,plain,
% 19.60/13.18 (((~nextState(constB79, constB80)) | v102(constB79) | (~v104(constB80))) <=> ((~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10691,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | v102(constB79) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79)))),
% 19.60/13.18 inference(monotonicity,[status(thm)],[10690])).
% 19.60/13.18 tff(10692,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | v102(constB79) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79))),
% 19.60/13.18 inference(transitivity,[status(thm)],[10691, 10689])).
% 19.60/13.18 tff(10693,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | v102(constB79) | (~v104(constB80)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10694,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79)),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 19.60/13.18 tff(10695,plain,
% 19.60/13.18 ((~v104(constB80)) | v102(constB79)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10694, 8402, 9055])).
% 19.60/13.18 tff(10696,plain,
% 19.60/13.18 (v102(constB79)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10695, 10688])).
% 19.60/13.18 tff(10697,plain,
% 19.60/13.18 (^[VarCurr: $i] : refl((v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))))),
% 19.60/13.18 inference(bind,[status(th)],[])).
% 19.60/13.18 tff(10698,plain,
% 19.60/13.18 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 19.60/13.18 inference(quant_intro,[status(thm)],[10697])).
% 19.60/13.18 tff(10699,plain,
% 19.60/13.18 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10700,plain,
% 19.60/13.18 (^[VarCurr: $i] : rewrite(((v106(VarCurr) | v26(VarCurr)) | (~v102(VarCurr))) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))))),
% 19.60/13.18 inference(bind,[status(th)],[])).
% 19.60/13.18 tff(10701,plain,
% 19.60/13.18 (![VarCurr: $i] : ((v106(VarCurr) | v26(VarCurr)) | (~v102(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 19.60/13.18 inference(quant_intro,[status(thm)],[10700])).
% 19.60/13.18 tff(10702,axiom,(![VarCurr: $i] : ((v106(VarCurr) | v26(VarCurr)) | (~v102(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 19.60/13.18 tff(10703,plain,
% 19.60/13.18 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10702, 10701])).
% 19.60/13.18 tff(10704,plain,
% 19.60/13.18 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10703, 10699])).
% 19.60/13.18 tff(10705,plain,(
% 19.60/13.18 ![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 19.60/13.18 inference(skolemize,[status(sab)],[10704])).
% 19.60/13.18 tff(10706,plain,
% 19.60/13.18 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10705, 10698])).
% 19.60/13.18 tff(10707,plain,
% 19.60/13.18 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB79)) | v26(constB79) | v106(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB79)) | v26(constB79) | v106(constB79))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10708,plain,
% 19.60/13.18 ((v26(constB79) | v106(constB79) | (~v102(constB79))) <=> ((~v102(constB79)) | v26(constB79) | v106(constB79))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10709,plain,
% 19.60/13.18 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB79) | v106(constB79) | (~v102(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB79)) | v26(constB79) | v106(constB79)))),
% 19.60/13.18 inference(monotonicity,[status(thm)],[10708])).
% 19.60/13.18 tff(10710,plain,
% 19.60/13.18 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB79) | v106(constB79) | (~v102(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB79)) | v26(constB79) | v106(constB79))),
% 19.60/13.18 inference(transitivity,[status(thm)],[10709, 10707])).
% 19.60/13.18 tff(10711,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB79) | v106(constB79) | (~v102(constB79)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10712,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB79)) | v26(constB79) | v106(constB79)),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10711, 10710])).
% 19.60/13.18 tff(10713,plain,
% 19.60/13.18 ((~v102(constB79)) | v106(constB79)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10712, 10706, 9040])).
% 19.60/13.18 tff(10714,plain,
% 19.60/13.18 (v106(constB79)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10713, 10696])).
% 19.60/13.18 tff(10715,plain,
% 19.60/13.18 (^[VarCurr: $i] : refl((v107(VarCurr) | (~v106(VarCurr))) <=> (v107(VarCurr) | (~v106(VarCurr))))),
% 19.60/13.18 inference(bind,[status(th)],[])).
% 19.60/13.18 tff(10716,plain,
% 19.60/13.18 (![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 19.60/13.18 inference(quant_intro,[status(thm)],[10715])).
% 19.60/13.18 tff(10717,plain,
% 19.60/13.18 (![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10718,axiom,(![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 19.60/13.18 tff(10719,plain,
% 19.60/13.18 (![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10718, 10717])).
% 19.60/13.18 tff(10720,plain,(
% 19.60/13.18 ![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 19.60/13.18 inference(skolemize,[status(sab)],[10719])).
% 19.60/13.18 tff(10721,plain,
% 19.60/13.18 (![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10720, 10716])).
% 19.60/13.18 tff(10722,plain,
% 19.60/13.18 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB79) | (~v106(constB79)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB79) | (~v106(constB79)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10723,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB79) | (~v106(constB79)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10724,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB79) | (~v106(constB79))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10723, 10722])).
% 19.60/13.18 tff(10725,plain,
% 19.60/13.18 (v107(constB79)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10724, 10721, 10714])).
% 19.60/13.18 tff(10726,plain,
% 19.60/13.18 (^[VarCurr: $i] : refl((v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))))),
% 19.60/13.18 inference(bind,[status(th)],[])).
% 19.60/13.18 tff(10727,plain,
% 19.60/13.18 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 19.60/13.18 inference(quant_intro,[status(thm)],[10726])).
% 19.60/13.18 tff(10728,plain,
% 19.60/13.18 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10729,plain,
% 19.60/13.18 (^[VarCurr: $i] : trans(monotonicity(rewrite((v119(VarCurr) | v108(VarCurr)) <=> (v108(VarCurr) | v119(VarCurr))), (((v119(VarCurr) | v108(VarCurr)) | (~v107(VarCurr))) <=> ((v108(VarCurr) | v119(VarCurr)) | (~v107(VarCurr))))), rewrite(((v108(VarCurr) | v119(VarCurr)) | (~v107(VarCurr))) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))), (((v119(VarCurr) | v108(VarCurr)) | (~v107(VarCurr))) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))))),
% 19.60/13.18 inference(bind,[status(th)],[])).
% 19.60/13.18 tff(10730,plain,
% 19.60/13.18 (![VarCurr: $i] : ((v119(VarCurr) | v108(VarCurr)) | (~v107(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 19.60/13.18 inference(quant_intro,[status(thm)],[10729])).
% 19.60/13.18 tff(10731,axiom,(![VarCurr: $i] : ((v119(VarCurr) | v108(VarCurr)) | (~v107(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 19.60/13.18 tff(10732,plain,
% 19.60/13.18 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10731, 10730])).
% 19.60/13.18 tff(10733,plain,
% 19.60/13.18 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10732, 10728])).
% 19.60/13.18 tff(10734,plain,(
% 19.60/13.18 ![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 19.60/13.18 inference(skolemize,[status(sab)],[10733])).
% 19.60/13.18 tff(10735,plain,
% 19.60/13.18 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10734, 10727])).
% 19.60/13.18 tff(10736,plain,
% 19.60/13.18 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB79) | v119(constB79) | (~v107(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB79) | v119(constB79) | (~v107(constB79)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10737,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB79) | v119(constB79) | (~v107(constB79)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10738,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB79) | v119(constB79) | (~v107(constB79))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10737, 10736])).
% 19.60/13.18 tff(10739,plain,
% 19.60/13.18 (v108(constB79) | v119(constB79)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10738, 10735, 10725])).
% 19.60/13.18 tff(10740,plain,
% 19.60/13.18 (v119(constB79)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10739, 10683])).
% 19.60/13.18 tff(10741,plain,
% 19.60/13.18 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr))))),
% 19.60/13.18 inference(bind,[status(th)],[])).
% 19.60/13.18 tff(10742,plain,
% 19.60/13.18 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 19.60/13.18 inference(quant_intro,[status(thm)],[10741])).
% 19.60/13.18 tff(10743,plain,
% 19.60/13.18 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10744,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 19.60/13.18 tff(10745,plain,
% 19.60/13.18 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 19.60/13.18 tff(10746,plain,(
% 19.60/13.18 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 19.60/13.18 inference(skolemize,[status(sab)],[10745])).
% 19.60/13.18 tff(10747,plain,
% 19.60/13.18 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10746, 10742])).
% 19.60/13.18 tff(10748,plain,
% 19.60/13.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB79, bitIndex0)) | (~v119(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB79, bitIndex0)) | (~v119(constB79)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10749,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB79, bitIndex0)) | (~v119(constB79)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10750,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB79, bitIndex0)) | (~v119(constB79))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10749, 10748])).
% 19.60/13.18 tff(10751,plain,
% 19.60/13.18 (~v84(constB79, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10750, 10747, 10740])).
% 19.60/13.18 tff(10752,plain,
% 19.60/13.18 (~v84(constB78, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[9015, 10751])).
% 19.60/13.18 tff(10753,assumption,(v172(constB77)), introduced(assumption)).
% 19.60/13.18 tff(10754,plain,
% 19.60/13.18 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB77) | (~v172(constB77)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB77) | (~v172(constB77)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10755,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB77) | (~v172(constB77)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10756,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB77) | (~v172(constB77))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10755, 10754])).
% 19.60/13.18 tff(10757,plain,
% 19.60/13.18 (v109(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10756, 1457, 10753])).
% 19.60/13.18 tff(10758,plain,
% 19.60/13.18 (v108(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8802, 239, 10757])).
% 19.60/13.18 tff(10759,plain,
% 19.60/13.18 (v124(constB77, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10538, 1631, 10753])).
% 19.60/13.18 tff(10760,plain,
% 19.60/13.18 (v121(constB77, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8993, 10759])).
% 19.60/13.18 tff(10761,plain,
% 19.60/13.18 (v123(constB78, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8998, 10760])).
% 19.60/13.18 tff(10762,plain,
% 19.60/13.18 (~v94(constB78)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10427, 10761])).
% 19.60/13.18 tff(10763,plain,
% 19.60/13.18 (~v104(constB78)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8859, 10762])).
% 19.60/13.18 tff(10764,plain,
% 19.60/13.18 (~v102(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8833, 10763])).
% 19.60/13.18 tff(10765,plain,
% 19.60/13.18 (~v106(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8822, 276, 10764])).
% 19.60/13.18 tff(10766,plain,
% 19.60/13.18 (~v107(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8818, 10765])).
% 19.60/13.18 tff(10767,plain,
% 19.60/13.18 ($false),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8806, 250, 10766, 10758])).
% 19.60/13.18 tff(10768,plain,((~v172(constB77)) | v84(constB78, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.60/13.18 tff(10769,plain,
% 19.60/13.18 (~v172(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10768, 10752])).
% 19.60/13.18 tff(10770,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex1)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10771,plain,
% 19.60/13.18 (((~nextState(constB78, constB79)) | v84(constB78, bitIndex1) | v94(constB79) | (~v84(constB79, bitIndex1))) <=> (v84(constB78, bitIndex1) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex1)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10772,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex1) | v94(constB79) | (~v84(constB79, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex1))))),
% 19.60/13.18 inference(monotonicity,[status(thm)],[10771])).
% 19.60/13.18 tff(10773,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex1) | v94(constB79) | (~v84(constB79, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex1)))),
% 19.60/13.18 inference(transitivity,[status(thm)],[10772, 10770])).
% 19.60/13.18 tff(10774,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex1) | v94(constB79) | (~v84(constB79, bitIndex1)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10775,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex1))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10774, 10773])).
% 19.60/13.18 tff(10776,plain,
% 19.60/13.18 (v84(constB78, bitIndex1) | v94(constB79) | (~v84(constB79, bitIndex1))),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10775, 142, 8891])).
% 19.60/13.18 tff(10777,plain,
% 19.60/13.18 (v84(constB78, bitIndex1) | (~v84(constB79, bitIndex1))),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10776, 8903])).
% 19.60/13.18 tff(10778,plain,
% 19.60/13.18 (v84(constB78, bitIndex1)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10777, 10589])).
% 19.60/13.18 tff(10779,plain,
% 19.60/13.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v115(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v115(constB75)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10780,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v115(constB75)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10781,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v115(constB75))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10780, 10779])).
% 19.60/13.18 tff(10782,plain,
% 19.60/13.18 (~v115(constB75)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10781, 10061, 9669])).
% 19.60/13.18 tff(10783,plain,
% 19.60/13.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v113(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v113(constB75)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10784,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v113(constB75)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10785,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v113(constB75))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10784, 10783])).
% 19.60/13.18 tff(10786,plain,
% 19.60/13.18 (~v113(constB75)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10785, 10136, 9669])).
% 19.60/13.18 tff(10787,plain,
% 19.60/13.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v172(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v172(constB75)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10788,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v172(constB75)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10789,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v172(constB75))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10788, 10787])).
% 19.60/13.18 tff(10790,plain,
% 19.60/13.18 (~v172(constB75)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10789, 10570, 9669])).
% 19.60/13.18 tff(10791,plain,
% 19.60/13.18 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> (v84(VarCurr, bitIndex2) | (~v119(VarCurr))))),
% 19.60/13.18 inference(bind,[status(th)],[])).
% 19.60/13.18 tff(10792,plain,
% 19.60/13.18 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 19.60/13.18 inference(quant_intro,[status(thm)],[10791])).
% 19.60/13.18 tff(10793,plain,
% 19.60/13.18 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10794,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_2')).
% 19.60/13.18 tff(10795,plain,
% 19.60/13.18 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10794, 10793])).
% 19.60/13.18 tff(10796,plain,(
% 19.60/13.18 ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 19.60/13.18 inference(skolemize,[status(sab)],[10795])).
% 19.60/13.18 tff(10797,plain,
% 19.60/13.18 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10796, 10792])).
% 19.60/13.18 tff(10798,plain,
% 19.60/13.18 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB79, bitIndex2) | (~v119(constB79)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | v84(constB79, bitIndex2) | (~v119(constB79)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10799,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB79, bitIndex2) | (~v119(constB79)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10800,plain,
% 19.60/13.18 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | v84(constB79, bitIndex2) | (~v119(constB79))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10799, 10798])).
% 19.60/13.18 tff(10801,plain,
% 19.60/13.18 (v84(constB79, bitIndex2)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10800, 10797, 10740])).
% 19.60/13.18 tff(10802,plain,
% 19.60/13.18 (v84(constB78, bitIndex2)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8911, 10801])).
% 19.60/13.18 tff(10803,plain,
% 19.60/13.18 (~v123(constB76, bitIndex1)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8761, 834, 10482, 10467])).
% 19.60/13.18 tff(10804,plain,
% 19.60/13.18 (~v121(constB75, bitIndex1)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8767, 10803])).
% 19.60/13.18 tff(10805,plain,
% 19.60/13.18 (~v124(constB75, bitIndex1)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8772, 10804])).
% 19.60/13.18 tff(10806,assumption,(v84(constB78, bitIndex1)), introduced(assumption)).
% 19.60/13.18 tff(10807,assumption,(v84(constB78, bitIndex2)), introduced(assumption)).
% 19.60/13.18 tff(10808,assumption,(~v94(constB78)), introduced(assumption)).
% 19.60/13.18 tff(10809,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex1)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10810,plain,
% 19.60/13.18 (((~nextState(constB77, constB78)) | v84(constB77, bitIndex1) | v94(constB78) | (~v84(constB78, bitIndex1))) <=> (v84(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex1)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10811,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex1) | v94(constB78) | (~v84(constB78, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex1))))),
% 19.60/13.18 inference(monotonicity,[status(thm)],[10810])).
% 19.60/13.18 tff(10812,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex1) | v94(constB78) | (~v84(constB78, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex1)))),
% 19.60/13.18 inference(transitivity,[status(thm)],[10811, 10809])).
% 19.60/13.18 tff(10813,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex1) | v94(constB78) | (~v84(constB78, bitIndex1)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10814,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB77, bitIndex1) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex1))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10813, 10812])).
% 19.60/13.18 tff(10815,plain,
% 19.60/13.18 (v84(constB77, bitIndex1) | v94(constB78) | (~v84(constB78, bitIndex1))),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10814, 142, 8826])).
% 19.60/13.18 tff(10816,plain,
% 19.60/13.18 (~v84(constB78, bitIndex1)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10815, 10808, 10462])).
% 19.60/13.18 tff(10817,plain,
% 19.60/13.18 (v84(constB78, bitIndex2)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10586, 10413, 10414])).
% 19.60/13.18 tff(10818,plain,
% 19.60/13.18 (~v84(constB77, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10552, 10808, 10413])).
% 19.60/13.18 tff(10819,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex2)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10820,plain,
% 19.60/13.18 (((~nextState(constB77, constB78)) | v84(constB77, bitIndex2) | v94(constB78) | (~v84(constB78, bitIndex2))) <=> (v84(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex2)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10821,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex2) | v94(constB78) | (~v84(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex2))))),
% 19.60/13.18 inference(monotonicity,[status(thm)],[10820])).
% 19.60/13.18 tff(10822,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex2) | v94(constB78) | (~v84(constB78, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex2)))),
% 19.60/13.18 inference(transitivity,[status(thm)],[10821, 10819])).
% 19.60/13.18 tff(10823,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex2) | v94(constB78) | (~v84(constB78, bitIndex2)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10824,plain,
% 19.60/13.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB77, bitIndex2) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex2))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 19.60/13.18 tff(10825,plain,
% 19.60/13.18 (v84(constB77, bitIndex2) | v94(constB78) | (~v84(constB78, bitIndex2))),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10824, 121, 8826])).
% 19.60/13.18 tff(10826,plain,
% 19.60/13.18 (v84(constB77, bitIndex2)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10825, 10808, 10807])).
% 19.60/13.18 tff(10827,plain,
% 19.60/13.18 (~v172(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10768, 10413])).
% 19.60/13.18 tff(10828,plain,
% 19.60/13.18 (v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2))),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10522, 1446, 10827])).
% 19.60/13.18 tff(10829,plain,
% 19.60/13.18 ($false),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10828, 10826, 10818, 10462])).
% 19.60/13.18 tff(10830,plain,(v94(constB78) | v84(constB77, bitIndex1) | (~v84(constB78, bitIndex2)) | v84(constB78, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.60/13.18 tff(10831,plain,
% 19.60/13.18 (v94(constB78)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10830, 10462, 10817, 10413])).
% 19.60/13.18 tff(10832,plain,
% 19.60/13.18 (v123(constB78, bitIndex2) | (~v94(constB78))),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8883, 424, 10817])).
% 19.60/13.18 tff(10833,plain,
% 19.60/13.18 (v123(constB78, bitIndex2)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10832, 10831])).
% 19.60/13.18 tff(10834,plain,
% 19.60/13.18 (v121(constB77, bitIndex2)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8876, 10833])).
% 19.60/13.18 tff(10835,plain,
% 19.60/13.18 (v124(constB77, bitIndex2)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8871, 10834])).
% 19.60/13.18 tff(10836,plain,
% 19.60/13.18 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB77)) | (~v124(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB77)) | (~v124(constB77, bitIndex2)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10837,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB77)) | (~v124(constB77, bitIndex2)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10838,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB77)) | (~v124(constB77, bitIndex2))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10837, 10836])).
% 19.60/13.18 tff(10839,plain,
% 19.60/13.18 (~v113(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10838, 377, 10835])).
% 19.60/13.18 tff(10840,plain,
% 19.60/13.18 (~v116(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10581, 9655, 10462])).
% 19.60/13.18 tff(10841,plain,
% 19.60/13.18 (~v123(constB78, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10427, 10831])).
% 19.60/13.18 tff(10842,plain,
% 19.60/13.18 (~v121(constB77, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8998, 10841])).
% 19.60/13.18 tff(10843,plain,
% 19.60/13.18 (~v124(constB77, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8993, 10842])).
% 19.60/13.18 tff(10844,plain,
% 19.60/13.18 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB77)) | (~v124(constB77, bitIndex2)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10845,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB77)) | (~v124(constB77, bitIndex2)))),
% 19.60/13.18 inference(quant_inst,[status(thm)],[])).
% 19.60/13.18 tff(10846,plain,
% 19.60/13.18 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB77)) | (~v124(constB77, bitIndex2))),
% 19.60/13.18 inference(modus_ponens,[status(thm)],[10845, 10844])).
% 19.60/13.18 tff(10847,plain,
% 19.60/13.18 (~v145(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10846, 638, 10835])).
% 19.60/13.18 tff(10848,plain,
% 19.60/13.18 (~v123(constB78, bitIndex1)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10431, 10831])).
% 19.60/13.18 tff(10849,plain,
% 19.60/13.18 (~v121(constB77, bitIndex1)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8925, 10848])).
% 19.60/13.18 tff(10850,plain,
% 19.60/13.18 (~v124(constB77, bitIndex1)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8920, 10849])).
% 19.60/13.18 tff(10851,plain,
% 19.60/13.18 (~v118(constB77)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10559, 1809, 10850])).
% 19.60/13.18 tff(10852,plain,
% 19.60/13.18 (v145(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[8981, 2149, 10827])).
% 19.60/13.18 tff(10853,plain,
% 19.60/13.18 ($false),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10852, 10851, 10847, 10466, 10843, 10840, 10839])).
% 19.60/13.18 tff(10854,plain,(v84(constB77, bitIndex1) | v84(constB78, bitIndex0) | v84(constB78, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.60/13.18 tff(10855,plain,
% 19.60/13.18 (v84(constB78, bitIndex0)),
% 19.60/13.18 inference(unit_resolution,[status(thm)],[10854, 10816, 10462])).
% 19.60/13.18 tff(10856,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB77, bitIndex0) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB77, bitIndex0) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex0)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10857,plain,
% 19.60/13.18 (((~nextState(constB77, constB78)) | v84(constB77, bitIndex0) | v94(constB78) | (~v84(constB78, bitIndex0))) <=> (v84(constB77, bitIndex0) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex0)))),
% 19.60/13.18 inference(rewrite,[status(thm)],[])).
% 19.60/13.18 tff(10858,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex0) | v94(constB78) | (~v84(constB78, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB77, bitIndex0) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex0))))),
% 19.60/13.18 inference(monotonicity,[status(thm)],[10857])).
% 19.60/13.18 tff(10859,plain,
% 19.60/13.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex0) | v94(constB78) | (~v84(constB78, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB77, bitIndex0) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex0)))),
% 19.60/13.18 inference(transitivity,[status(thm)],[10858, 10856])).
% 19.60/13.19 tff(10860,plain,
% 19.60/13.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v84(constB77, bitIndex0) | v94(constB78) | (~v84(constB78, bitIndex0)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10861,plain,
% 19.60/13.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB77, bitIndex0) | (~nextState(constB77, constB78)) | v94(constB78) | (~v84(constB78, bitIndex0))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10860, 10859])).
% 19.60/13.19 tff(10862,plain,
% 19.60/13.19 (v84(constB77, bitIndex0) | v94(constB78) | (~v84(constB78, bitIndex0))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10861, 163, 8826])).
% 19.60/13.19 tff(10863,plain,
% 19.60/13.19 (v84(constB77, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10862, 10855, 10808])).
% 19.60/13.19 tff(10864,plain,
% 19.60/13.19 (~v104(constB78)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8859, 10808])).
% 19.60/13.19 tff(10865,plain,
% 19.60/13.19 (~v102(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8833, 10864])).
% 19.60/13.19 tff(10866,plain,
% 19.60/13.19 (~v106(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8822, 276, 10865])).
% 19.60/13.19 tff(10867,plain,
% 19.60/13.19 (~v107(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8818, 10866])).
% 19.60/13.19 tff(10868,plain,
% 19.60/13.19 (~v108(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8806, 250, 10867])).
% 19.60/13.19 tff(10869,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB77) | (~v118(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB77) | (~v118(constB77)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10870,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB77) | (~v118(constB77)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10871,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB77) | (~v118(constB77))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 19.60/13.19 tff(10872,plain,
% 19.60/13.19 (~v118(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10871, 1683, 10868])).
% 19.60/13.19 tff(10873,plain,
% 19.60/13.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v118(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v118(constB77))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10874,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v118(constB77))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10875,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v118(constB77)),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10874, 10873])).
% 19.60/13.19 tff(10876,plain,
% 19.60/13.19 ((~v84(constB77, bitIndex0)) | (~v84(constB77, bitIndex2)) | v118(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10875, 1672, 10462])).
% 19.60/13.19 tff(10877,plain,
% 19.60/13.19 (~v84(constB77, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10876, 10872, 10863])).
% 19.60/13.19 tff(10878,plain,
% 19.60/13.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10879,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10880,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77)),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10879, 10878])).
% 19.60/13.19 tff(10881,plain,
% 19.60/13.19 ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | v145(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10880, 624, 10462])).
% 19.60/13.19 tff(10882,plain,
% 19.60/13.19 (v145(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10881, 10877, 10863])).
% 19.60/13.19 tff(10883,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB77) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB77) | (~v145(constB77)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10884,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB77) | (~v145(constB77)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10885,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB77) | (~v145(constB77))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 19.60/13.19 tff(10886,plain,
% 19.60/13.19 (v112(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10885, 681, 10882])).
% 19.60/13.19 tff(10887,plain,
% 19.60/13.19 (~v109(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8802, 239, 10868])).
% 19.60/13.19 tff(10888,plain,
% 19.60/13.19 (~v110(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8798, 228, 10887])).
% 19.60/13.19 tff(10889,plain,
% 19.60/13.19 (~v111(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8794, 217, 10888])).
% 19.60/13.19 tff(10890,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB77) | (~v112(constB77)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10891,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB77) | (~v112(constB77)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10892,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB77) | (~v112(constB77))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 19.60/13.19 tff(10893,plain,
% 19.60/13.19 ($false),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10892, 206, 10889, 10886])).
% 19.60/13.19 tff(10894,plain,(v94(constB78) | v84(constB77, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.60/13.19 tff(10895,plain,
% 19.60/13.19 (v94(constB78)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10894, 10462])).
% 19.60/13.19 tff(10896,plain,
% 19.60/13.19 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | v123(constB78, bitIndex1) | (~v94(constB78)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | v123(constB78, bitIndex1) | (~v94(constB78)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10897,plain,
% 19.60/13.19 (((~v84(constB78, bitIndex1)) | (~v94(constB78)) | v123(constB78, bitIndex1)) <=> ((~v84(constB78, bitIndex1)) | v123(constB78, bitIndex1) | (~v94(constB78)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10898,plain,
% 19.60/13.19 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~v94(constB78)) | v123(constB78, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | v123(constB78, bitIndex1) | (~v94(constB78))))),
% 19.60/13.19 inference(monotonicity,[status(thm)],[10897])).
% 19.60/13.19 tff(10899,plain,
% 19.60/13.19 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~v94(constB78)) | v123(constB78, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | v123(constB78, bitIndex1) | (~v94(constB78)))),
% 19.60/13.19 inference(transitivity,[status(thm)],[10898, 10896])).
% 19.60/13.19 tff(10900,plain,
% 19.60/13.19 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~v94(constB78)) | v123(constB78, bitIndex1))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10901,plain,
% 19.60/13.19 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | v123(constB78, bitIndex1) | (~v94(constB78))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10900, 10899])).
% 19.60/13.19 tff(10902,plain,
% 19.60/13.19 (v123(constB78, bitIndex1) | (~v94(constB78))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10901, 516, 10806])).
% 19.60/13.19 tff(10903,plain,
% 19.60/13.19 (v123(constB78, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10902, 10895])).
% 19.60/13.19 tff(10904,plain,
% 19.60/13.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex1) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex1) | (~v123(constB78, bitIndex1)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10905,plain,
% 19.60/13.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex1) | (~v123(constB78, bitIndex1)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10906,plain,
% 19.60/13.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex1) | (~v123(constB78, bitIndex1))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10905, 10904])).
% 19.60/13.19 tff(10907,plain,
% 19.60/13.19 (v121(constB77, bitIndex1) | (~v123(constB78, bitIndex1))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10906, 501, 8826])).
% 19.60/13.19 tff(10908,plain,
% 19.60/13.19 (v121(constB77, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10907, 10903])).
% 19.60/13.19 tff(10909,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB77, bitIndex1)) | v26(constB77) | v124(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB77, bitIndex1)) | v26(constB77) | v124(constB77, bitIndex1))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10910,plain,
% 19.60/13.19 ((v26(constB77) | v124(constB77, bitIndex1) | (~v121(constB77, bitIndex1))) <=> ((~v121(constB77, bitIndex1)) | v26(constB77) | v124(constB77, bitIndex1))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10911,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB77) | v124(constB77, bitIndex1) | (~v121(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB77, bitIndex1)) | v26(constB77) | v124(constB77, bitIndex1)))),
% 19.60/13.19 inference(monotonicity,[status(thm)],[10910])).
% 19.60/13.19 tff(10912,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB77) | v124(constB77, bitIndex1) | (~v121(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB77, bitIndex1)) | v26(constB77) | v124(constB77, bitIndex1))),
% 19.60/13.19 inference(transitivity,[status(thm)],[10911, 10909])).
% 19.60/13.19 tff(10913,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB77) | v124(constB77, bitIndex1) | (~v121(constB77, bitIndex1)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10914,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB77, bitIndex1)) | v26(constB77) | v124(constB77, bitIndex1)),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10913, 10912])).
% 19.60/13.19 tff(10915,plain,
% 19.60/13.19 ((~v121(constB77, bitIndex1)) | v124(constB77, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10914, 483, 8811])).
% 19.60/13.19 tff(10916,plain,
% 19.60/13.19 (v124(constB77, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10915, 10908])).
% 19.60/13.19 tff(10917,plain,
% 19.60/13.19 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB77)) | (~v124(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB77)) | (~v124(constB77, bitIndex1)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10918,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB77)) | (~v124(constB77, bitIndex1)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10919,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB77)) | (~v124(constB77, bitIndex1))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10918, 10917])).
% 19.60/13.19 tff(10920,plain,
% 19.60/13.19 (~v113(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10919, 469, 10916])).
% 19.60/13.19 tff(10921,plain,
% 19.60/13.19 (~v84(constB77, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10523, 8741, 8972])).
% 19.60/13.19 tff(10922,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10923,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10924,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2)),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10923, 10922])).
% 19.60/13.19 tff(10925,plain,
% 19.60/13.19 (v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10924, 184, 10462])).
% 19.60/13.19 tff(10926,plain,
% 19.60/13.19 ($false),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10925, 10921, 8741, 8971])).
% 19.60/13.19 tff(10927,plain,(v84(constB77, bitIndex0) | v113(constB77) | v84(constB77, bitIndex1) | v172(constB77)), inference(lemma,lemma(discharge,[]))).
% 19.60/13.19 tff(10928,plain,
% 19.60/13.19 (v84(constB77, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10927, 10920, 8972, 10462])).
% 19.60/13.19 tff(10929,plain,
% 19.60/13.19 (v84(constB76, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8688, 10928])).
% 19.60/13.19 tff(10930,plain,
% 19.60/13.19 ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8660, 918, 10482])).
% 19.60/13.19 tff(10931,plain,
% 19.60/13.19 (v123(constB76, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10930, 10929])).
% 19.60/13.19 tff(10932,plain,
% 19.60/13.19 (v121(constB75, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8653, 10931])).
% 19.60/13.19 tff(10933,plain,
% 19.60/13.19 (v124(constB75, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8648, 10932])).
% 19.60/13.19 tff(10934,assumption,(~v124(constB75, bitIndex1)), introduced(assumption)).
% 19.60/13.19 tff(10935,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10936,plain,
% 19.60/13.19 ((v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1))) <=> ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10937,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1)))),
% 19.60/13.19 inference(monotonicity,[status(thm)],[10936])).
% 19.60/13.19 tff(10938,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1))),
% 19.60/13.19 inference(transitivity,[status(thm)],[10937, 10935])).
% 19.60/13.19 tff(10939,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB75) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10940,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB75, bitIndex1)) | v26(constB75) | v124(constB75, bitIndex1)),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10939, 10938])).
% 19.60/13.19 tff(10941,plain,
% 19.60/13.19 ((~v121(constB75, bitIndex1)) | v26(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10940, 483, 10934])).
% 19.60/13.19 tff(10942,plain,
% 19.60/13.19 (~v121(constB75, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10941, 8444])).
% 19.60/13.19 tff(10943,plain,
% 19.60/13.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10944,plain,
% 19.60/13.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10945,plain,
% 19.60/13.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10944, 10943])).
% 19.60/13.19 tff(10946,plain,
% 19.60/13.19 (v121(constB75, bitIndex1) | (~v123(constB76, bitIndex1))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10945, 501, 8392])).
% 19.60/13.19 tff(10947,plain,
% 19.60/13.19 (~v123(constB76, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10946, 10942])).
% 19.60/13.19 tff(10948,plain,
% 19.60/13.19 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10949,plain,
% 19.60/13.19 (((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1)) <=> ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10950,plain,
% 19.60/13.19 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76))))),
% 19.60/13.19 inference(monotonicity,[status(thm)],[10949])).
% 19.60/13.19 tff(10951,plain,
% 19.60/13.19 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76)))),
% 19.60/13.19 inference(transitivity,[status(thm)],[10950, 10948])).
% 19.60/13.19 tff(10952,plain,
% 19.60/13.19 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~v94(constB76)) | v123(constB76, bitIndex1))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10953,plain,
% 19.60/13.19 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1) | (~v94(constB76))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10952, 10951])).
% 19.60/13.19 tff(10954,plain,
% 19.60/13.19 ((~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10953, 516, 8700])).
% 19.60/13.19 tff(10955,plain,
% 19.60/13.19 (~v84(constB76, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10954, 10947])).
% 19.60/13.19 tff(10956,plain,
% 19.60/13.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10957,plain,
% 19.60/13.19 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1))) <=> (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10958,plain,
% 19.60/13.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1))))),
% 19.60/13.19 inference(monotonicity,[status(thm)],[10957])).
% 19.60/13.19 tff(10959,plain,
% 19.60/13.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 19.60/13.19 inference(transitivity,[status(thm)],[10958, 10956])).
% 19.60/13.19 tff(10960,plain,
% 19.60/13.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10961,plain,
% 19.60/13.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex1))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10960, 10959])).
% 19.60/13.19 tff(10962,plain,
% 19.60/13.19 (v84(constB76, bitIndex1) | v94(constB77) | (~v84(constB77, bitIndex1))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10961, 142, 8668])).
% 19.60/13.19 tff(10963,plain,
% 19.60/13.19 (v84(constB76, bitIndex1) | (~v84(constB77, bitIndex1))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10962, 8680])).
% 19.60/13.19 tff(10964,plain,
% 19.60/13.19 (~v84(constB77, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10963, 10955])).
% 19.60/13.19 tff(10965,plain,
% 19.60/13.19 (v94(constB78)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10815, 10964, 10806])).
% 19.60/13.19 tff(10966,plain,
% 19.60/13.19 (v123(constB78, bitIndex2) | (~v94(constB78))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8883, 424, 10807])).
% 19.60/13.19 tff(10967,plain,
% 19.60/13.19 (v123(constB78, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10966, 10965])).
% 19.60/13.19 tff(10968,plain,
% 19.60/13.19 (v121(constB77, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8876, 10967])).
% 19.60/13.19 tff(10969,plain,
% 19.60/13.19 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))))),
% 19.60/13.19 inference(bind,[status(th)],[])).
% 19.60/13.19 tff(10970,plain,
% 19.60/13.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 19.60/13.19 inference(quant_intro,[status(thm)],[10969])).
% 19.60/13.19 tff(10971,plain,
% 19.60/13.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10972,plain,
% 19.60/13.19 (^[VarCurr: $i] : rewrite(((~v121(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))))),
% 19.60/13.19 inference(bind,[status(th)],[])).
% 19.60/13.19 tff(10973,plain,
% 19.60/13.19 (![VarCurr: $i] : ((~v121(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 19.60/13.19 inference(quant_intro,[status(thm)],[10972])).
% 19.60/13.19 tff(10974,axiom,(![VarCurr: $i] : ((~v121(VarCurr, bitIndex2)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 19.60/13.19 tff(10975,plain,
% 19.60/13.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10974, 10973])).
% 19.60/13.19 tff(10976,plain,
% 19.60/13.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10975, 10971])).
% 19.60/13.19 tff(10977,plain,(
% 19.60/13.19 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 19.60/13.19 inference(skolemize,[status(sab)],[10976])).
% 19.60/13.19 tff(10978,plain,
% 19.60/13.19 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10977, 10970])).
% 19.60/13.19 tff(10979,plain,
% 19.60/13.19 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB77)) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB77)) | (~v121(constB77, bitIndex2)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(10980,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB77)) | (~v121(constB77, bitIndex2)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(10981,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB77)) | (~v121(constB77, bitIndex2))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[10980, 10979])).
% 19.60/13.19 tff(10982,plain,
% 19.60/13.19 (~v26(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10981, 10978, 10968])).
% 19.60/13.19 tff(10983,plain,
% 19.60/13.19 (v124(constB77, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8870, 391, 10968, 10982])).
% 19.60/13.19 tff(10984,assumption,(~v124(constB75, bitIndex2)), introduced(assumption)).
% 19.60/13.19 tff(10985,plain,
% 19.60/13.19 ((~v121(constB75, bitIndex2)) | v26(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8622, 391, 10984])).
% 19.60/13.19 tff(10986,plain,
% 19.60/13.19 (~v121(constB75, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10985, 8444])).
% 19.60/13.19 tff(10987,plain,
% 19.60/13.19 (~v123(constB76, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8628, 10986])).
% 19.60/13.19 tff(10988,plain,
% 19.60/13.19 ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8635, 424, 8700])).
% 19.60/13.19 tff(10989,plain,
% 19.60/13.19 (~v84(constB76, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10988, 10987])).
% 19.60/13.19 tff(10990,plain,
% 19.60/13.19 (~v84(constB77, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8739, 10989])).
% 19.60/13.19 tff(10991,assumption,(v124(constB75, bitIndex0)), introduced(assumption)).
% 19.60/13.19 tff(10992,plain,
% 19.60/13.19 (v26(constB75) | v121(constB75, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10507, 557, 10991])).
% 19.60/13.19 tff(10993,plain,
% 19.60/13.19 (v121(constB75, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10992, 8444])).
% 19.60/13.19 tff(10994,plain,
% 19.60/13.19 (v123(constB76, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10503, 10993])).
% 19.60/13.19 tff(10995,plain,
% 19.60/13.19 (v84(constB76, bitIndex0) | (~v123(constB76, bitIndex0))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10497, 587, 8700])).
% 19.60/13.19 tff(10996,plain,
% 19.60/13.19 (v84(constB76, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10995, 10994])).
% 19.60/13.19 tff(10997,plain,
% 19.60/13.19 (v84(constB77, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10490, 10996])).
% 19.60/13.19 tff(10998,plain,
% 19.60/13.19 (v145(constB77)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10880, 624, 10997, 10964, 10990])).
% 19.60/13.19 tff(10999,plain,
% 19.60/13.19 ($false),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10846, 638, 10998, 10983])).
% 19.60/13.19 tff(11000,plain,(v26(constB75) | (~v84(constB78, bitIndex2)) | (~v84(constB78, bitIndex1)) | (~v94(constB76)) | v124(constB75, bitIndex2) | v124(constB75, bitIndex1) | (~v124(constB75, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 19.60/13.19 tff(11001,plain,
% 19.60/13.19 ((~v84(constB78, bitIndex2)) | (~v84(constB78, bitIndex1)) | (~v94(constB76)) | v124(constB75, bitIndex2) | v124(constB75, bitIndex1) | (~v124(constB75, bitIndex0))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11000, 8616])).
% 19.60/13.19 tff(11002,plain,
% 19.60/13.19 (v124(constB75, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11001, 10933, 10807, 10806, 10482, 10805])).
% 19.60/13.19 tff(11003,assumption,(v116(constB75)), introduced(assumption)).
% 19.60/13.19 tff(11004,plain,
% 19.60/13.19 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB75) | (~v116(constB75)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(11005,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB75) | (~v116(constB75)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(11006,plain,
% 19.60/13.19 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB75) | (~v116(constB75))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[11005, 11004])).
% 19.60/13.19 tff(11007,plain,
% 19.60/13.19 (v110(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11006, 1187, 11003])).
% 19.60/13.19 tff(11008,plain,
% 19.60/13.19 (v109(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8481, 228, 11007])).
% 19.60/13.19 tff(11009,plain,
% 19.60/13.19 (v108(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8459, 239, 11008])).
% 19.60/13.19 tff(11010,plain,
% 19.60/13.19 (v107(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8455, 250, 11009])).
% 19.60/13.19 tff(11011,plain,
% 19.60/13.19 (v106(constB75) | (~v107(constB75))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8450, 264, 8616])).
% 19.60/13.19 tff(11012,plain,
% 19.60/13.19 (v106(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11011, 11010])).
% 19.60/13.19 tff(11013,plain,
% 19.60/13.19 (v102(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8442, 276, 11012])).
% 19.60/13.19 tff(11014,plain,
% 19.60/13.19 (v104(constB76)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8533, 11013])).
% 19.60/13.19 tff(11015,plain,
% 19.60/13.19 (v94(constB76)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8559, 11014])).
% 19.60/13.19 tff(11016,plain,
% 19.60/13.19 (v124(constB75, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8721, 1259, 11003])).
% 19.60/13.19 tff(11017,plain,
% 19.60/13.19 (v121(constB75, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8717, 11016])).
% 19.60/13.19 tff(11018,plain,
% 19.60/13.19 (v123(constB76, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8712, 11017])).
% 19.60/13.19 tff(11019,plain,
% 19.60/13.19 (v84(constB76, bitIndex2) | (~v94(constB76))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8706, 1303, 11018])).
% 19.60/13.19 tff(11020,plain,
% 19.60/13.19 (v84(constB76, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11019, 11015])).
% 19.60/13.19 tff(11021,plain,
% 19.60/13.19 (v84(constB77, bitIndex2)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10518, 11020])).
% 19.60/13.19 tff(11022,plain,
% 19.60/13.19 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB75)) | (~v124(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB75)) | (~v124(constB75, bitIndex1)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(11023,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB75)) | (~v124(constB75, bitIndex1)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(11024,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB75)) | (~v124(constB75, bitIndex1))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[11023, 11022])).
% 19.60/13.19 tff(11025,plain,
% 19.60/13.19 (~v124(constB75, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11024, 1358, 11003])).
% 19.60/13.19 tff(11026,plain,
% 19.60/13.19 ((~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10940, 483, 8616])).
% 19.60/13.19 tff(11027,plain,
% 19.60/13.19 (~v121(constB75, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11026, 11025])).
% 19.60/13.19 tff(11028,plain,
% 19.60/13.19 (~v123(constB76, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10946, 11027])).
% 19.60/13.19 tff(11029,plain,
% 19.60/13.19 ((~v84(constB76, bitIndex1)) | (~v94(constB76))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10953, 516, 11028])).
% 19.60/13.19 tff(11030,plain,
% 19.60/13.19 (~v84(constB76, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11029, 11015])).
% 19.60/13.19 tff(11031,plain,
% 19.60/13.19 (~v84(constB77, bitIndex1)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10963, 11030])).
% 19.60/13.19 tff(11032,plain,
% 19.60/13.19 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB75)) | (~v124(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB75)) | (~v124(constB75, bitIndex0)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(11033,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB75)) | (~v124(constB75, bitIndex0)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(11034,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB75)) | (~v124(constB75, bitIndex0))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 19.60/13.19 tff(11035,plain,
% 19.60/13.19 (~v124(constB75, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11034, 1402, 11003])).
% 19.60/13.19 tff(11036,plain,
% 19.60/13.19 (~v121(constB75, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8648, 11035])).
% 19.60/13.19 tff(11037,plain,
% 19.60/13.19 (~v123(constB76, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8653, 11036])).
% 19.60/13.19 tff(11038,plain,
% 19.60/13.19 ((~v84(constB76, bitIndex0)) | (~v94(constB76))),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8660, 918, 11037])).
% 19.60/13.19 tff(11039,plain,
% 19.60/13.19 (~v84(constB76, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11038, 11015])).
% 19.60/13.19 tff(11040,plain,
% 19.60/13.19 (~v84(constB77, bitIndex0)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[8688, 11039])).
% 19.60/13.19 tff(11041,plain,
% 19.60/13.19 ($false),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[10522, 1446, 11040, 11031, 11021, 8972])).
% 19.60/13.19 tff(11042,plain,((~v116(constB75)) | v172(constB77)), inference(lemma,lemma(discharge,[]))).
% 19.60/13.19 tff(11043,plain,
% 19.60/13.19 (~v116(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11042, 8972])).
% 19.60/13.19 tff(11044,plain,
% 19.60/13.19 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB75)) | (~v124(constB75, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB75)) | (~v124(constB75, bitIndex0)))),
% 19.60/13.19 inference(rewrite,[status(thm)],[])).
% 19.60/13.19 tff(11045,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB75)) | (~v124(constB75, bitIndex0)))),
% 19.60/13.19 inference(quant_inst,[status(thm)],[])).
% 19.60/13.19 tff(11046,plain,
% 19.60/13.19 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB75)) | (~v124(constB75, bitIndex0))),
% 19.60/13.19 inference(modus_ponens,[status(thm)],[11045, 11044])).
% 19.60/13.19 tff(11047,plain,
% 19.60/13.19 (~v118(constB75)),
% 19.60/13.19 inference(unit_resolution,[status(thm)],[11046, 1850, 10933])).
% 19.60/13.19 tff(11048,plain,
% 19.60/13.19 (~v145(constB75)),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[8640, 871, 10933])).
% 19.60/13.20 tff(11049,assumption,(~v113(constB75)), introduced(assumption)).
% 19.60/13.20 tff(11050,assumption,(~v172(constB75)), introduced(assumption)).
% 19.60/13.20 tff(11051,assumption,(~v115(constB75)), introduced(assumption)).
% 19.60/13.20 tff(11052,plain,
% 19.60/13.20 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 19.60/13.20 inference(rewrite,[status(thm)],[])).
% 19.60/13.20 tff(11053,plain,
% 19.60/13.20 ((v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2))) <=> (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 19.60/13.20 inference(rewrite,[status(thm)],[])).
% 19.60/13.20 tff(11054,plain,
% 19.60/13.20 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)))),
% 19.60/13.20 inference(monotonicity,[status(thm)],[11053])).
% 19.60/13.20 tff(11055,plain,
% 19.60/13.20 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75))),
% 19.60/13.20 inference(transitivity,[status(thm)],[11054, 11052])).
% 19.60/13.20 tff(11056,plain,
% 19.60/13.20 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB75) | v145(constB75) | v115(constB75) | v116(constB75) | v172(constB75) | v118(constB75) | (~v124(constB75, bitIndex2)))),
% 19.60/13.20 inference(quant_inst,[status(thm)],[])).
% 19.60/13.20 tff(11057,plain,
% 19.60/13.20 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB75) | (~v124(constB75, bitIndex2)) | v172(constB75) | v118(constB75) | v116(constB75) | v115(constB75) | v113(constB75)),
% 19.60/13.20 inference(modus_ponens,[status(thm)],[11056, 11055])).
% 19.60/13.20 tff(11058,plain,
% 19.60/13.20 (v145(constB75) | (~v124(constB75, bitIndex2)) | v118(constB75) | v116(constB75)),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[11057, 2037, 11051, 11050, 11049])).
% 19.60/13.20 tff(11059,plain,
% 19.60/13.20 ($false),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[11058, 11048, 11047, 11043, 11002])).
% 19.60/13.20 tff(11060,plain,(v84(constB77, bitIndex1) | v115(constB75) | v172(constB75) | v113(constB75) | (~v84(constB78, bitIndex2)) | (~v84(constB78, bitIndex1)) | v172(constB77)), inference(lemma,lemma(discharge,[]))).
% 19.60/13.20 tff(11061,plain,
% 19.60/13.20 (v84(constB77, bitIndex1)),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[11060, 10802, 10790, 10786, 10782, 10778, 10769])).
% 19.60/13.20 tff(11062,plain,
% 19.60/13.20 (~v118(constB77)),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[8960, 2001, 11061])).
% 19.60/13.20 tff(11063,plain,
% 19.60/13.20 (~v113(constB77)),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[8964, 1990, 11061])).
% 19.60/13.20 tff(11064,plain,
% 19.60/13.20 (~v145(constB77)),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[8968, 2012, 11061])).
% 19.60/13.20 tff(11065,assumption,(v116(constB77)), introduced(assumption)).
% 19.60/13.20 tff(11066,plain,
% 19.60/13.20 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB77) | (~v116(constB77)))),
% 19.60/13.20 inference(rewrite,[status(thm)],[])).
% 19.60/13.20 tff(11067,plain,
% 19.60/13.20 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB77) | (~v116(constB77)))),
% 19.60/13.20 inference(quant_inst,[status(thm)],[])).
% 19.60/13.20 tff(11068,plain,
% 19.60/13.20 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB77) | (~v116(constB77))),
% 19.60/13.20 inference(modus_ponens,[status(thm)],[11067, 11066])).
% 19.60/13.20 tff(11069,plain,
% 19.60/13.20 (v110(constB77)),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[11068, 1187, 11065])).
% 19.60/13.20 tff(11070,plain,
% 19.60/13.20 (v109(constB77)),
% 19.60/13.20 inference(unit_resolution,[status(thm)],[8798, 228, 11069])).
% 19.60/13.20 tff(11071,plain,
% 19.60/13.20 (v108(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8802, 239, 11070])).
% 19.62/13.20 tff(11072,plain,
% 19.62/13.20 (v107(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8806, 250, 11071])).
% 19.62/13.20 tff(11073,plain,
% 19.62/13.20 (v106(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8818, 11072])).
% 19.62/13.20 tff(11074,plain,
% 19.62/13.20 (v102(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8822, 276, 11073])).
% 19.62/13.20 tff(11075,plain,
% 19.62/13.20 (v104(constB78)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8833, 11074])).
% 19.62/13.20 tff(11076,plain,
% 19.62/13.20 (v94(constB78)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8859, 11075])).
% 19.62/13.20 tff(11077,plain,
% 19.62/13.20 (v124(constB77, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10458, 1259, 11065])).
% 19.62/13.20 tff(11078,plain,
% 19.62/13.20 (v121(constB77, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10454, 11077])).
% 19.62/13.20 tff(11079,plain,
% 19.62/13.20 (v123(constB78, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10449, 11078])).
% 19.62/13.20 tff(11080,plain,
% 19.62/13.20 (v84(constB78, bitIndex2) | (~v94(constB78))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10443, 1303, 11079])).
% 19.62/13.20 tff(11081,plain,
% 19.62/13.20 (v84(constB78, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11080, 11076])).
% 19.62/13.20 tff(11082,plain,
% 19.62/13.20 (v84(constB79, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10405, 11081])).
% 19.62/13.20 tff(11083,plain,
% 19.62/13.20 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB77)) | (~v124(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB77)) | (~v124(constB77, bitIndex0)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11084,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB77)) | (~v124(constB77, bitIndex0)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11085,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB77)) | (~v124(constB77, bitIndex0))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11084, 11083])).
% 19.62/13.20 tff(11086,plain,
% 19.62/13.20 (~v124(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11085, 1402, 11065])).
% 19.62/13.20 tff(11087,plain,
% 19.62/13.20 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11088,plain,
% 19.62/13.20 ((v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0))) <=> ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11089,plain,
% 19.62/13.20 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0)))),
% 19.62/13.20 inference(monotonicity,[status(thm)],[11088])).
% 19.62/13.20 tff(11090,plain,
% 19.62/13.20 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0))),
% 19.62/13.20 inference(transitivity,[status(thm)],[11089, 11087])).
% 19.62/13.20 tff(11091,plain,
% 19.62/13.20 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB77) | v124(constB77, bitIndex0) | (~v121(constB77, bitIndex0)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11092,plain,
% 19.62/13.20 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB77, bitIndex0)) | v26(constB77) | v124(constB77, bitIndex0)),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11091, 11090])).
% 19.62/13.20 tff(11093,plain,
% 19.62/13.20 ((~v121(constB77, bitIndex0)) | v124(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11092, 885, 8811])).
% 19.62/13.20 tff(11094,plain,
% 19.62/13.20 (~v121(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11093, 11086])).
% 19.62/13.20 tff(11095,plain,
% 19.62/13.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11096,plain,
% 19.62/13.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11097,plain,
% 19.62/13.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11096, 11095])).
% 19.62/13.20 tff(11098,plain,
% 19.62/13.20 (v121(constB77, bitIndex0) | (~v123(constB78, bitIndex0))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11097, 903, 8826])).
% 19.62/13.20 tff(11099,plain,
% 19.62/13.20 (~v123(constB78, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11098, 11094])).
% 19.62/13.20 tff(11100,plain,
% 19.62/13.20 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11101,plain,
% 19.62/13.20 (((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0)) <=> ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11102,plain,
% 19.62/13.20 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78))))),
% 19.62/13.20 inference(monotonicity,[status(thm)],[11101])).
% 19.62/13.20 tff(11103,plain,
% 19.62/13.20 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78)))),
% 19.62/13.20 inference(transitivity,[status(thm)],[11102, 11100])).
% 19.62/13.20 tff(11104,plain,
% 19.62/13.20 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~v94(constB78)) | v123(constB78, bitIndex0))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11105,plain,
% 19.62/13.20 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | v123(constB78, bitIndex0) | (~v94(constB78))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11104, 11103])).
% 19.62/13.20 tff(11106,plain,
% 19.62/13.20 ((~v84(constB78, bitIndex0)) | (~v94(constB78))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11105, 918, 11099])).
% 19.62/13.20 tff(11107,plain,
% 19.62/13.20 (~v84(constB78, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11106, 11076])).
% 19.62/13.20 tff(11108,plain,
% 19.62/13.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11109,plain,
% 19.62/13.20 (((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0))) <=> (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11110,plain,
% 19.62/13.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0))))),
% 19.62/13.20 inference(monotonicity,[status(thm)],[11109])).
% 19.62/13.20 tff(11111,plain,
% 19.62/13.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 19.62/13.20 inference(transitivity,[status(thm)],[11110, 11108])).
% 19.62/13.20 tff(11112,plain,
% 19.62/13.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11113,plain,
% 19.62/13.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex0))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11112, 11111])).
% 19.62/13.20 tff(11114,plain,
% 19.62/13.20 (v84(constB78, bitIndex0) | v94(constB79) | (~v84(constB79, bitIndex0))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11113, 163, 8891])).
% 19.62/13.20 tff(11115,plain,
% 19.62/13.20 (v84(constB78, bitIndex0) | (~v84(constB79, bitIndex0))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11114, 8903])).
% 19.62/13.20 tff(11116,plain,
% 19.62/13.20 (~v84(constB79, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11115, 11107])).
% 19.62/13.20 tff(11117,plain,
% 19.62/13.20 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB77)) | (~v124(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB77)) | (~v124(constB77, bitIndex1)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11118,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB77)) | (~v124(constB77, bitIndex1)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11119,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB77)) | (~v124(constB77, bitIndex1))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11118, 11117])).
% 19.62/13.20 tff(11120,plain,
% 19.62/13.20 (~v124(constB77, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11119, 1358, 11065])).
% 19.62/13.20 tff(11121,plain,
% 19.62/13.20 (~v121(constB77, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10915, 11120])).
% 19.62/13.20 tff(11122,plain,
% 19.62/13.20 (~v123(constB78, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10907, 11121])).
% 19.62/13.20 tff(11123,plain,
% 19.62/13.20 ((~v84(constB78, bitIndex1)) | (~v94(constB78))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10901, 516, 11122])).
% 19.62/13.20 tff(11124,plain,
% 19.62/13.20 (~v84(constB78, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11123, 11076])).
% 19.62/13.20 tff(11125,plain,
% 19.62/13.20 (~v84(constB79, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10777, 11124])).
% 19.62/13.20 tff(11126,plain,
% 19.62/13.20 ($false),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10370, 11125, 11116, 11082])).
% 19.62/13.20 tff(11127,plain,((~v116(constB77)) | v172(constB79)), inference(lemma,lemma(discharge,[]))).
% 19.62/13.20 tff(11128,plain,
% 19.62/13.20 (~v116(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11127, 9742])).
% 19.62/13.20 tff(11129,plain,
% 19.62/13.20 (v94(constB76)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8438, 10491, 9669])).
% 19.62/13.20 tff(11130,plain,
% 19.62/13.20 (v94(constB78)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10825, 8740, 10807])).
% 19.62/13.20 tff(11131,plain,
% 19.62/13.20 (~v123(constB78, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10427, 11130])).
% 19.62/13.20 tff(11132,plain,
% 19.62/13.20 (~v121(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8998, 11131])).
% 19.62/13.20 tff(11133,plain,
% 19.62/13.20 (~v124(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8993, 11132])).
% 19.62/13.20 tff(11134,plain,
% 19.62/13.20 (~v123(constB76, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10497, 587, 8700, 10491])).
% 19.62/13.20 tff(11135,plain,
% 19.62/13.20 (~v121(constB75, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10503, 11134])).
% 19.62/13.20 tff(11136,plain,
% 19.62/13.20 (~v124(constB75, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10508, 11135])).
% 19.62/13.20 tff(11137,plain,
% 19.62/13.20 (v115(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8786, 8699, 8741, 11136, 8700])).
% 19.62/13.20 tff(11138,plain,
% 19.62/13.20 ($false),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8986, 1135, 11137, 11133])).
% 19.62/13.20 tff(11139,plain,(v84(constB76, bitIndex2) | v84(constB78, bitIndex0) | (~v84(constB78, bitIndex2)) | v84(constB77, bitIndex0) | (~v94(constB76))), inference(lemma,lemma(discharge,[]))).
% 19.62/13.20 tff(11140,plain,
% 19.62/13.20 (v84(constB76, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11139, 8741, 10807, 10413, 11129])).
% 19.62/13.20 tff(11141,plain,
% 19.62/13.20 (v84(constB77, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10518, 11140])).
% 19.62/13.20 tff(11142,plain,
% 19.62/13.20 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)) | v119(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)) | v119(constB77))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11143,plain,
% 19.62/13.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)) | v119(constB77))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11144,plain,
% 19.62/13.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)) | v119(constB77)),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11143, 11142])).
% 19.62/13.20 tff(11145,plain,
% 19.62/13.20 (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex2)) | v119(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11144, 1894, 10415])).
% 19.62/13.20 tff(11146,plain,
% 19.62/13.20 (v119(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11145, 11141, 8741])).
% 19.62/13.20 tff(11147,plain,
% 19.62/13.20 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB77) | (~v119(constB77)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB77) | (~v119(constB77)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11148,plain,
% 19.62/13.20 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB77) | (~v119(constB77)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11149,plain,
% 19.62/13.20 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB77) | (~v119(constB77))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11148, 11147])).
% 19.62/13.20 tff(11150,plain,
% 19.62/13.20 (v107(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11149, 1905, 11146])).
% 19.62/13.20 tff(11151,plain,
% 19.62/13.20 (v106(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8818, 11150])).
% 19.62/13.20 tff(11152,plain,
% 19.62/13.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB77, bitIndex2)) | (~v115(constB77)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11153,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v115(constB77)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11154,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB77, bitIndex2)) | (~v115(constB77))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 19.62/13.20 tff(11155,plain,
% 19.62/13.20 (~v115(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11154, 1965, 11141])).
% 19.62/13.20 tff(11156,plain,
% 19.62/13.20 (v145(constB77) | v118(constB77) | v115(constB77) | v113(constB77) | v124(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8981, 2149, 10827, 8974])).
% 19.62/13.20 tff(11157,plain,
% 19.62/13.20 (v124(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11156, 11155, 10436, 10416, 10417])).
% 19.62/13.20 tff(11158,plain,
% 19.62/13.20 (v121(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8993, 11157])).
% 19.62/13.20 tff(11159,plain,
% 19.62/13.20 (v123(constB78, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8998, 11158])).
% 19.62/13.20 tff(11160,plain,
% 19.62/13.20 (~v94(constB78)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10427, 11159])).
% 19.62/13.20 tff(11161,plain,
% 19.62/13.20 (~v104(constB78)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8859, 11160])).
% 19.62/13.20 tff(11162,plain,
% 19.62/13.20 (~v102(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8833, 11161])).
% 19.62/13.20 tff(11163,plain,
% 19.62/13.20 ($false),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[8822, 276, 11162, 11151])).
% 19.62/13.20 tff(11164,plain,(v84(constB77, bitIndex0) | v84(constB78, bitIndex0) | v116(constB77) | (~v84(constB77, bitIndex1)) | (~v84(constB78, bitIndex2)) | (~v84(constB75, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 19.62/13.20 tff(11165,plain,
% 19.62/13.20 (v84(constB77, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11164, 10752, 11128, 11061, 10802, 9669])).
% 19.62/13.20 tff(11166,plain,
% 19.62/13.20 (v94(constB78)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10552, 11165, 10752])).
% 19.62/13.20 tff(11167,plain,
% 19.62/13.20 (v123(constB78, bitIndex1) | (~v94(constB78))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10901, 516, 10778])).
% 19.62/13.20 tff(11168,plain,
% 19.62/13.20 (v123(constB78, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11167, 11166])).
% 19.62/13.20 tff(11169,plain,
% 19.62/13.20 (v121(constB77, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10907, 11168])).
% 19.62/13.20 tff(11170,plain,
% 19.62/13.20 (v124(constB77, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[10915, 11169])).
% 19.62/13.20 tff(11171,plain,
% 19.62/13.20 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | (~v124(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | (~v124(constB77, bitIndex1)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11172,plain,
% 19.62/13.20 ((v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | (~v124(constB77, bitIndex1))) <=> (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | (~v124(constB77, bitIndex1)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11173,plain,
% 19.62/13.20 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | (~v124(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | (~v124(constB77, bitIndex1))))),
% 19.62/13.20 inference(monotonicity,[status(thm)],[11172])).
% 19.62/13.20 tff(11174,plain,
% 19.62/13.20 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | (~v124(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | (~v124(constB77, bitIndex1)))),
% 19.62/13.20 inference(transitivity,[status(thm)],[11173, 11171])).
% 19.62/13.20 tff(11175,plain,
% 19.62/13.20 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB77) | v145(constB77) | v115(constB77) | v116(constB77) | v172(constB77) | v118(constB77) | (~v124(constB77, bitIndex1)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11176,plain,
% 19.62/13.20 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB77) | v172(constB77) | v118(constB77) | v116(constB77) | v115(constB77) | v113(constB77) | (~v124(constB77, bitIndex1))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 19.62/13.20 tff(11177,plain,
% 19.62/13.20 (v145(constB77) | v118(constB77) | v115(constB77) | v113(constB77) | (~v124(constB77, bitIndex1))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11176, 2102, 10769, 11128])).
% 19.62/13.20 tff(11178,plain,
% 19.62/13.20 (v115(constB77)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11177, 11170, 11064, 11063, 11062])).
% 19.62/13.20 tff(11179,plain,
% 19.62/13.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v115(constB77)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11180,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v115(constB77)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11181,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v115(constB77))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11180, 11179])).
% 19.62/13.20 tff(11182,plain,
% 19.62/13.20 ($false),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11181, 10061, 11165, 11178])).
% 19.62/13.20 tff(11183,plain,(v84(constB82, bitIndex2) | (~v84(constB75, bitIndex0)) | v118(constB81) | (~v84(constB84, bitIndex0)) | (~v84(constB84, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 19.62/13.20 tff(11184,plain,
% 19.62/13.20 (v84(constB82, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11183, 9675, 9670, 9669, 9668])).
% 19.62/13.20 tff(11185,plain,
% 19.62/13.20 (v84(constB83, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[9331, 11184])).
% 19.62/13.20 tff(11186,plain,
% 19.62/13.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v94(constB84) | v84(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v94(constB84) | v84(constB84, bitIndex2))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11187,plain,
% 19.62/13.20 (((~nextState(constB83, constB84)) | (~v84(constB83, bitIndex2)) | v94(constB84) | v84(constB84, bitIndex2)) <=> ((~v84(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v94(constB84) | v84(constB84, bitIndex2))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11188,plain,
% 19.62/13.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v84(constB83, bitIndex2)) | v94(constB84) | v84(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v94(constB84) | v84(constB84, bitIndex2)))),
% 19.62/13.20 inference(monotonicity,[status(thm)],[11187])).
% 19.62/13.20 tff(11189,plain,
% 19.62/13.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v84(constB83, bitIndex2)) | v94(constB84) | v84(constB84, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v94(constB84) | v84(constB84, bitIndex2))),
% 19.62/13.20 inference(transitivity,[status(thm)],[11188, 11186])).
% 19.62/13.20 tff(11190,plain,
% 19.62/13.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v84(constB83, bitIndex2)) | v94(constB84) | v84(constB84, bitIndex2))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11191,plain,
% 19.62/13.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB83, bitIndex2)) | (~nextState(constB83, constB84)) | v94(constB84) | v84(constB84, bitIndex2)),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 19.62/13.20 tff(11192,plain,
% 19.62/13.20 ((~v84(constB83, bitIndex2)) | v94(constB84) | v84(constB84, bitIndex2)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11191, 1339, 9425])).
% 19.62/13.20 tff(11193,plain,
% 19.62/13.20 (v94(constB84)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11192, 11185, 9648])).
% 19.62/13.20 tff(11194,plain,
% 19.62/13.20 (v123(constB84, bitIndex1) | (~v94(constB84))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[9985, 516, 9668])).
% 19.62/13.20 tff(11195,plain,
% 19.62/13.20 (v123(constB84, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11194, 11193])).
% 19.62/13.20 tff(11196,plain,
% 19.62/13.20 (v121(constB83, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[9991, 11195])).
% 19.62/13.20 tff(11197,plain,
% 19.62/13.20 (v124(constB83, bitIndex1)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[9999, 11196])).
% 19.62/13.20 tff(11198,plain,
% 19.62/13.20 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB83)) | (~v124(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB83)) | (~v124(constB83, bitIndex1)))),
% 19.62/13.20 inference(rewrite,[status(thm)],[])).
% 19.62/13.20 tff(11199,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB83)) | (~v124(constB83, bitIndex1)))),
% 19.62/13.20 inference(quant_inst,[status(thm)],[])).
% 19.62/13.20 tff(11200,plain,
% 19.62/13.20 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB83)) | (~v124(constB83, bitIndex1))),
% 19.62/13.20 inference(modus_ponens,[status(thm)],[11199, 11198])).
% 19.62/13.20 tff(11201,plain,
% 19.62/13.20 (~v172(constB83)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11200, 1587, 11197])).
% 19.62/13.20 tff(11202,plain,
% 19.62/13.20 (v123(constB84, bitIndex0) | (~v94(constB84))),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[9562, 918, 9675])).
% 19.62/13.20 tff(11203,plain,
% 19.62/13.20 (v123(constB84, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[11202, 11193])).
% 19.62/13.20 tff(11204,plain,
% 19.62/13.20 (v121(constB83, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[9555, 11203])).
% 19.62/13.20 tff(11205,plain,
% 19.62/13.20 (v124(constB83, bitIndex0)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[9550, 11204])).
% 19.62/13.20 tff(11206,plain,
% 19.62/13.20 (~v118(constB83)),
% 19.62/13.20 inference(unit_resolution,[status(thm)],[9542, 1850, 11205])).
% 19.62/13.20 tff(11207,plain,
% 19.62/13.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v116(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v116(constB83)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11208,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v116(constB83)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11209,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v116(constB83))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11208, 11207])).
% 19.62/13.21 tff(11210,plain,
% 19.62/13.21 (~v116(constB83)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11209, 1976, 11185])).
% 19.62/13.21 tff(11211,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v115(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v115(constB83)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11212,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v115(constB83)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11213,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v115(constB83))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11212, 11211])).
% 19.62/13.21 tff(11214,plain,
% 19.62/13.21 (~v115(constB83)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11213, 1965, 11185])).
% 19.62/13.21 tff(11215,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB83)) | (~v84(constB83, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB83)) | (~v84(constB83, bitIndex2)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11216,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB83)) | (~v84(constB83, bitIndex2)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11217,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB83)) | (~v84(constB83, bitIndex2))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11216, 11215])).
% 19.62/13.21 tff(11218,plain,
% 19.62/13.21 (~v113(constB83)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11217, 10393, 11185])).
% 19.62/13.21 tff(11219,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v145(constB83)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11220,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v145(constB83)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11221,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v145(constB83))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11220, 11219])).
% 19.62/13.21 tff(11222,plain,
% 19.62/13.21 (~v145(constB83)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11221, 10327, 11185])).
% 19.62/13.21 tff(11223,plain,
% 19.62/13.21 (v172(constB83) | v118(constB83)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[10040, 2102, 11222, 11197, 11218, 11214, 11210])).
% 19.62/13.21 tff(11224,plain,
% 19.62/13.21 ($false),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11223, 11206, 11201])).
% 19.62/13.21 tff(11225,plain,((~v116(constB85)) | v118(constB81) | (~v84(constB75, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 19.62/13.21 tff(11226,plain,
% 19.62/13.21 (~v116(constB85)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11225, 9642, 8606])).
% 19.62/13.21 tff(11227,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v115(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v115(constB85)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11228,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v115(constB85)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11229,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v115(constB85))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11228, 11227])).
% 19.62/13.21 tff(11230,plain,
% 19.62/13.21 (~v115(constB85)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11229, 1965, 9508])).
% 19.62/13.21 tff(11231,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v118(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v118(constB85)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11232,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v118(constB85)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11233,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v118(constB85))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11232, 11231])).
% 19.62/13.21 tff(11234,plain,
% 19.62/13.21 (~v118(constB85)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11233, 2001, 9539])).
% 19.62/13.21 tff(11235,assumption,(~v118(constB85)), introduced(assumption)).
% 19.62/13.21 tff(11236,assumption,(~v124(constB85, bitIndex0)), introduced(assumption)).
% 19.62/13.21 tff(11237,assumption,(~v115(constB85)), introduced(assumption)).
% 19.62/13.21 tff(11238,assumption,(~v116(constB85)), introduced(assumption)).
% 19.62/13.21 tff(11239,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB85)) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB85)) | v124(constB85, bitIndex0))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11240,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB85)) | v124(constB85, bitIndex0))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11241,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB85)) | v124(constB85, bitIndex0)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11240, 11239])).
% 19.62/13.21 tff(11242,plain,
% 19.62/13.21 (~v172(constB85)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11241, 1631, 11236])).
% 19.62/13.21 tff(11243,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB85)) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB85)) | v124(constB85, bitIndex0))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11244,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB85)) | v124(constB85, bitIndex0))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11245,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB85)) | v124(constB85, bitIndex0)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11244, 11243])).
% 19.62/13.21 tff(11246,plain,
% 19.62/13.21 (~v113(constB85)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11245, 543, 11236])).
% 19.62/13.21 tff(11247,assumption,(~v145(constB85)), introduced(assumption)).
% 19.62/13.21 tff(11248,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | v124(constB85, bitIndex0))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11249,plain,
% 19.62/13.21 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0)) <=> (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | v124(constB85, bitIndex0))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11250,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | v124(constB85, bitIndex0)))),
% 19.62/13.21 inference(monotonicity,[status(thm)],[11249])).
% 19.62/13.21 tff(11251,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | v124(constB85, bitIndex0))),
% 19.62/13.21 inference(transitivity,[status(thm)],[11250, 11248])).
% 19.62/13.21 tff(11252,plain,
% 19.62/13.21 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11253,plain,
% 19.62/13.21 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | v124(constB85, bitIndex0)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11252, 11251])).
% 19.62/13.21 tff(11254,plain,
% 19.62/13.21 (v113(constB85) | v172(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | v124(constB85, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11253, 2149, 11247])).
% 19.62/13.21 tff(11255,plain,
% 19.62/13.21 ($false),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11254, 11246, 11242, 11238, 11237, 11236, 11235])).
% 19.62/13.21 tff(11256,plain,(v124(constB85, bitIndex0) | v116(constB85) | v115(constB85) | v118(constB85) | v145(constB85)), inference(lemma,lemma(discharge,[]))).
% 19.62/13.21 tff(11257,plain,
% 19.62/13.21 (v124(constB85, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11256, 11234, 11230, 11226, 9638])).
% 19.62/13.21 tff(11258,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11259,plain,
% 19.62/13.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11260,plain,
% 19.62/13.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 19.62/13.21 tff(11261,plain,
% 19.62/13.21 ((~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11260, 557, 9585])).
% 19.62/13.21 tff(11262,plain,
% 19.62/13.21 (v121(constB85, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11261, 11257])).
% 19.62/13.21 tff(11263,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11264,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11265,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11264, 11263])).
% 19.62/13.21 tff(11266,plain,
% 19.62/13.21 ((~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11265, 572, 9600])).
% 19.62/13.21 tff(11267,plain,
% 19.62/13.21 (v123(constB86, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11266, 11262])).
% 19.62/13.21 tff(11268,plain,
% 19.62/13.21 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11269,plain,
% 19.62/13.21 ((v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0))) <=> (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11270,plain,
% 19.62/13.21 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86))))),
% 19.62/13.21 inference(monotonicity,[status(thm)],[11269])).
% 19.62/13.21 tff(11271,plain,
% 19.62/13.21 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 19.62/13.21 inference(transitivity,[status(thm)],[11270, 11268])).
% 19.62/13.21 tff(11272,plain,
% 19.62/13.21 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11273,plain,
% 19.62/13.21 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11272, 11271])).
% 19.62/13.21 tff(11274,plain,
% 19.62/13.21 (v84(constB86, bitIndex0) | (~v94(constB86))),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11273, 587, 11267])).
% 19.62/13.21 tff(11275,plain,
% 19.62/13.21 (v84(constB86, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11274, 9634])).
% 19.62/13.21 tff(11276,plain,
% 19.62/13.21 ((~v1(constB87)) <=> (~v1(constB87))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11277,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 19.62/13.21 tff(11278,plain,
% 19.62/13.21 (~v1(constB87)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11277, 11276])).
% 19.62/13.21 tff(11279,plain,
% 19.62/13.21 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11280,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 19.62/13.21 tff(11281,plain,
% 19.62/13.21 (nextState(constB86, constB87)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11280, 11279])).
% 19.62/13.21 tff(11282,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11283,plain,
% 19.62/13.21 (((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11284,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))))),
% 19.62/13.21 inference(monotonicity,[status(thm)],[11283])).
% 19.62/13.21 tff(11285,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 19.62/13.21 inference(transitivity,[status(thm)],[11284, 11282])).
% 19.62/13.21 tff(11286,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11287,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 19.62/13.21 tff(11288,plain,
% 19.62/13.21 (~v95(constB87)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11287, 89, 11281, 11278])).
% 19.62/13.21 tff(11289,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11290,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11291,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 19.62/13.21 tff(11292,plain,
% 19.62/13.21 (v95(constB87) | (~v94(constB87))),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11291, 106, 11281])).
% 19.62/13.21 tff(11293,plain,
% 19.62/13.21 (~v94(constB87)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11292, 11288])).
% 19.62/13.21 tff(11294,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11295,plain,
% 19.62/13.21 (((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0)) <=> ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11296,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0)))),
% 19.62/13.21 inference(monotonicity,[status(thm)],[11295])).
% 19.62/13.21 tff(11297,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 19.62/13.21 inference(transitivity,[status(thm)],[11296, 11294])).
% 19.62/13.21 tff(11298,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11299,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11298, 11297])).
% 19.62/13.21 tff(11300,plain,
% 19.62/13.21 ((~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11299, 605, 11281])).
% 19.62/13.21 tff(11301,plain,
% 19.62/13.21 ((~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11300, 11293])).
% 19.62/13.21 tff(11302,plain,
% 19.62/13.21 (v84(constB87, bitIndex0)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11301, 11275])).
% 19.62/13.21 tff(11303,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v115(constB87)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11304,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v115(constB87)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11305,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v115(constB87))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 19.62/13.21 tff(11306,plain,
% 19.62/13.21 (~v115(constB87)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11305, 10061, 11302])).
% 19.62/13.21 tff(11307,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v172(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v172(constB85)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11308,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v172(constB85)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11309,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v172(constB85))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 19.62/13.21 tff(11310,plain,
% 19.62/13.21 (~v172(constB85)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11309, 2023, 9539])).
% 19.62/13.21 tff(11311,plain,
% 19.62/13.21 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11312,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11313,plain,
% 19.62/13.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 19.62/13.21 tff(11314,plain,
% 19.62/13.21 (~v113(constB85)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11313, 1990, 9539])).
% 19.62/13.21 tff(11315,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11316,plain,
% 19.62/13.21 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1))) <=> (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11317,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex1))))),
% 19.62/13.21 inference(monotonicity,[status(thm)],[11316])).
% 19.62/13.21 tff(11318,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))),
% 19.62/13.21 inference(transitivity,[status(thm)],[11317, 11315])).
% 19.62/13.21 tff(11319,plain,
% 19.62/13.21 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11320,plain,
% 19.62/13.21 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex1))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 19.62/13.21 tff(11321,plain,
% 19.62/13.21 (~v124(constB85, bitIndex1)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11320, 2102, 9638, 11314, 11310, 11230, 11226, 11234])).
% 19.62/13.21 tff(11322,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11323,plain,
% 19.62/13.21 ((v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1))) <=> ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11324,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1)))),
% 19.62/13.21 inference(monotonicity,[status(thm)],[11323])).
% 19.62/13.21 tff(11325,plain,
% 19.62/13.21 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 19.62/13.21 inference(transitivity,[status(thm)],[11324, 11322])).
% 19.62/13.21 tff(11326,plain,
% 19.62/13.21 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11327,plain,
% 19.62/13.21 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1)),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11326, 11325])).
% 19.62/13.21 tff(11328,plain,
% 19.62/13.21 ((~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11327, 483, 9585])).
% 19.62/13.21 tff(11329,plain,
% 19.62/13.21 (~v121(constB85, bitIndex1)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11328, 11321])).
% 19.62/13.21 tff(11330,plain,
% 19.62/13.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))),
% 19.62/13.21 inference(rewrite,[status(thm)],[])).
% 19.62/13.21 tff(11331,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))),
% 19.62/13.21 inference(quant_inst,[status(thm)],[])).
% 19.62/13.21 tff(11332,plain,
% 19.62/13.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1))),
% 19.62/13.21 inference(modus_ponens,[status(thm)],[11331, 11330])).
% 19.62/13.21 tff(11333,plain,
% 19.62/13.21 (v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1))),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11332, 501, 9600])).
% 19.62/13.21 tff(11334,plain,
% 19.62/13.21 (~v123(constB86, bitIndex1)),
% 19.62/13.21 inference(unit_resolution,[status(thm)],[11333, 11329])).
% 19.62/13.21 tff(11335,plain,
% 19.62/13.21 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11336,plain,
% 19.62/13.22 (((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1)) <=> ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11337,plain,
% 19.62/13.22 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86))))),
% 19.62/13.22 inference(monotonicity,[status(thm)],[11336])).
% 19.62/13.22 tff(11338,plain,
% 19.62/13.22 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 19.62/13.22 inference(transitivity,[status(thm)],[11337, 11335])).
% 19.62/13.22 tff(11339,plain,
% 19.62/13.22 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11340,plain,
% 19.62/13.22 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 19.62/13.22 tff(11341,plain,
% 19.62/13.22 ((~v84(constB86, bitIndex1)) | (~v94(constB86))),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11340, 516, 11334])).
% 19.62/13.22 tff(11342,plain,
% 19.62/13.22 (~v84(constB86, bitIndex1)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11341, 9634])).
% 19.62/13.22 tff(11343,plain,
% 19.62/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11344,plain,
% 19.62/13.22 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1))) <=> (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11345,plain,
% 19.62/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1))))),
% 19.62/13.22 inference(monotonicity,[status(thm)],[11344])).
% 19.62/13.22 tff(11346,plain,
% 19.62/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 19.62/13.22 inference(transitivity,[status(thm)],[11345, 11343])).
% 19.62/13.22 tff(11347,plain,
% 19.62/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11348,plain,
% 19.62/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11347, 11346])).
% 19.62/13.22 tff(11349,plain,
% 19.62/13.22 (v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1))),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11348, 142, 11281])).
% 19.62/13.22 tff(11350,plain,
% 19.62/13.22 (v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1))),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11349, 11293])).
% 19.62/13.22 tff(11351,plain,
% 19.62/13.22 (~v84(constB87, bitIndex1)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11350, 11342])).
% 19.62/13.22 tff(11352,assumption,(~v108(constB87)), introduced(assumption)).
% 19.62/13.22 tff(11353,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB87) | (~v118(constB87)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11354,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB87) | (~v118(constB87)))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11355,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB87) | (~v118(constB87))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11354, 11353])).
% 19.62/13.22 tff(11356,plain,
% 19.62/13.22 (~v118(constB87)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11355, 1683, 11352])).
% 19.62/13.22 tff(11357,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB87) | (~v109(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB87) | (~v109(constB87)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11358,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB87) | (~v109(constB87)))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11359,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB87) | (~v109(constB87))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11358, 11357])).
% 19.62/13.22 tff(11360,plain,
% 19.62/13.22 (~v109(constB87)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11359, 239, 11352])).
% 19.62/13.22 tff(11361,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB87) | (~v172(constB87)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB87) | (~v172(constB87)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11362,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB87) | (~v172(constB87)))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11363,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB87) | (~v172(constB87))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11362, 11361])).
% 19.62/13.22 tff(11364,plain,
% 19.62/13.22 (~v172(constB87)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11363, 1457, 11360])).
% 19.62/13.22 tff(11365,assumption,(~v84(constB87, bitIndex1)), introduced(assumption)).
% 19.62/13.22 tff(11366,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB87) | (~v110(constB87)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB87) | (~v110(constB87)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11367,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB87) | (~v110(constB87)))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11368,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB87) | (~v110(constB87))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11367, 11366])).
% 19.62/13.22 tff(11369,plain,
% 19.62/13.22 (~v110(constB87)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11368, 228, 11360])).
% 19.62/13.22 tff(11370,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB87) | (~v111(constB87)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB87) | (~v111(constB87)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11371,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB87) | (~v111(constB87)))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11372,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB87) | (~v111(constB87))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11371, 11370])).
% 19.62/13.22 tff(11373,plain,
% 19.62/13.22 (~v111(constB87)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11372, 217, 11369])).
% 19.62/13.22 tff(11374,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB87) | (~v112(constB87)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11375,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB87) | (~v112(constB87)))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11376,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB87) | (~v112(constB87))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11375, 11374])).
% 19.62/13.22 tff(11377,plain,
% 19.62/13.22 (~v112(constB87)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11376, 206, 11373])).
% 19.62/13.22 tff(11378,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB87) | (~v113(constB87)))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11379,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB87) | (~v113(constB87)))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11380,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB87) | (~v113(constB87))),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 19.62/13.22 tff(11381,plain,
% 19.62/13.22 (~v113(constB87)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11380, 195, 11377])).
% 19.62/13.22 tff(11382,assumption,(~v113(constB87)), introduced(assumption)).
% 19.62/13.22 tff(11383,assumption,(~v84(constB87, bitIndex0)), introduced(assumption)).
% 19.62/13.22 tff(11384,assumption,(~v172(constB87)), introduced(assumption)).
% 19.62/13.22 tff(11385,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11386,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))),
% 19.62/13.22 inference(quant_inst,[status(thm)],[])).
% 19.62/13.22 tff(11387,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87)),
% 19.62/13.22 inference(modus_ponens,[status(thm)],[11386, 11385])).
% 19.62/13.22 tff(11388,plain,
% 19.62/13.22 (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex2)) | v172(constB87)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11387, 1446, 11365])).
% 19.62/13.22 tff(11389,plain,
% 19.62/13.22 (~v84(constB87, bitIndex2)),
% 19.62/13.22 inference(unit_resolution,[status(thm)],[11388, 11383, 11384])).
% 19.62/13.22 tff(11390,plain,
% 19.62/13.22 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2))),
% 19.62/13.22 inference(rewrite,[status(thm)],[])).
% 19.62/13.22 tff(11391,plain,
% 19.62/13.22 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11392,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2)),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 19.64/13.22 tff(11393,plain,
% 19.64/13.22 (v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex2)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11392, 184, 11365])).
% 19.64/13.22 tff(11394,plain,
% 19.64/13.22 ($false),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11393, 11389, 11383, 11382])).
% 19.64/13.22 tff(11395,plain,(v84(constB87, bitIndex0) | v113(constB87) | v84(constB87, bitIndex1) | v172(constB87)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.22 tff(11396,plain,
% 19.64/13.22 (v84(constB87, bitIndex0)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11395, 11381, 11365, 11364])).
% 19.64/13.22 tff(11397,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11398,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11399,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11398, 11397])).
% 19.64/13.22 tff(11400,plain,
% 19.64/13.22 (~v145(constB87)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11399, 681, 11377])).
% 19.64/13.22 tff(11401,plain,
% 19.64/13.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11402,plain,
% 19.64/13.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11403,plain,
% 19.64/13.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87)),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11402, 11401])).
% 19.64/13.22 tff(11404,plain,
% 19.64/13.22 ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex2) | v145(constB87)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11403, 624, 11365])).
% 19.64/13.22 tff(11405,plain,
% 19.64/13.22 (v84(constB87, bitIndex2)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11404, 11396, 11400])).
% 19.64/13.22 tff(11406,plain,
% 19.64/13.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11407,plain,
% 19.64/13.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11408,plain,
% 19.64/13.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87)),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 19.64/13.22 tff(11409,plain,
% 19.64/13.22 ((~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex2)) | v118(constB87)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11408, 1672, 11365])).
% 19.64/13.22 tff(11410,plain,
% 19.64/13.22 ($false),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11409, 11405, 11396, 11356])).
% 19.64/13.22 tff(11411,plain,(v108(constB87) | v84(constB87, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.22 tff(11412,plain,
% 19.64/13.22 (v108(constB87)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11411, 11351])).
% 19.64/13.22 tff(11413,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB87) | (~v108(constB87)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB87) | (~v108(constB87)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11414,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB87) | (~v108(constB87)))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11415,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB87) | (~v108(constB87))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11414, 11413])).
% 19.64/13.22 tff(11416,plain,
% 19.64/13.22 (v107(constB87)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11415, 250, 11412])).
% 19.64/13.22 tff(11417,assumption,(v26(constB87)), introduced(assumption)).
% 19.64/13.22 tff(11418,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11419,plain,
% 19.64/13.22 ($false),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11418, 18, 11417])).
% 19.64/13.22 tff(11420,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.22 tff(11421,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11422,plain,
% 19.64/13.22 ((v26(constB87) | (~v107(constB87)) | v106(constB87)) <=> (v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11423,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87))))),
% 19.64/13.22 inference(monotonicity,[status(thm)],[11422])).
% 19.64/13.22 tff(11424,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 19.64/13.22 inference(transitivity,[status(thm)],[11423, 11421])).
% 19.64/13.22 tff(11425,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11426,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11425, 11424])).
% 19.64/13.22 tff(11427,plain,
% 19.64/13.22 (v106(constB87) | (~v107(constB87))),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11426, 264, 11420])).
% 19.64/13.22 tff(11428,plain,
% 19.64/13.22 (v106(constB87)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11427, 11416])).
% 19.64/13.22 tff(11429,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB87) | (~v106(constB87)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB87) | (~v106(constB87)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11430,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB87) | (~v106(constB87)))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11431,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB87) | (~v106(constB87))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11430, 11429])).
% 19.64/13.22 tff(11432,plain,
% 19.64/13.22 (v102(constB87)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11431, 276, 11428])).
% 19.64/13.22 tff(11433,plain,
% 19.64/13.22 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11434,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 19.64/13.22 tff(11435,plain,
% 19.64/13.22 (nextState(constB87, constB88)),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11434, 11433])).
% 19.64/13.22 tff(11436,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11437,plain,
% 19.64/13.22 (((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11438,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))))),
% 19.64/13.22 inference(monotonicity,[status(thm)],[11437])).
% 19.64/13.22 tff(11439,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 19.64/13.22 inference(transitivity,[status(thm)],[11438, 11436])).
% 19.64/13.22 tff(11440,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11441,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 19.64/13.22 tff(11442,plain,
% 19.64/13.22 (v104(constB88) | (~v102(constB87))),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11441, 293, 11435])).
% 19.64/13.22 tff(11443,plain,
% 19.64/13.22 (v104(constB88)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11442, 11432])).
% 19.64/13.22 tff(11444,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11445,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11446,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11445, 11444])).
% 19.64/13.22 tff(11447,plain,
% 19.64/13.22 (~v98(constB88)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11446, 311, 11435, 11278])).
% 19.64/13.22 tff(11448,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11449,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11450,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88)),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 19.64/13.22 tff(11451,plain,
% 19.64/13.22 (v96(constB88) | v98(constB88)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11450, 325, 11435])).
% 19.64/13.22 tff(11452,plain,
% 19.64/13.22 (v96(constB88)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11451, 11447])).
% 19.64/13.22 tff(11453,plain,
% 19.64/13.22 (v1(constB88) <=> v1(constB88)),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11454,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 19.64/13.22 tff(11455,plain,
% 19.64/13.22 (v1(constB88)),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11454, 11453])).
% 19.64/13.22 tff(11456,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11457,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11458,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11457, 11456])).
% 19.64/13.22 tff(11459,plain,
% 19.64/13.22 (v95(constB88) | (~v96(constB88))),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11458, 343, 11435, 11455])).
% 19.64/13.22 tff(11460,plain,
% 19.64/13.22 (v95(constB88)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11459, 11452])).
% 19.64/13.22 tff(11461,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11462,plain,
% 19.64/13.22 (((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88)) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11463,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88))))),
% 19.64/13.22 inference(monotonicity,[status(thm)],[11462])).
% 19.64/13.22 tff(11464,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 19.64/13.22 inference(transitivity,[status(thm)],[11463, 11461])).
% 19.64/13.22 tff(11465,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11466,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11465, 11464])).
% 19.64/13.22 tff(11467,plain,
% 19.64/13.22 (v94(constB88) | (~v95(constB88)) | (~v104(constB88))),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11466, 358, 11435])).
% 19.64/13.22 tff(11468,plain,
% 19.64/13.22 (v94(constB88) | (~v104(constB88))),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11467, 11460])).
% 19.64/13.22 tff(11469,plain,
% 19.64/13.22 (v94(constB88)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11468, 11443])).
% 19.64/13.22 tff(11470,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11471,plain,
% 19.64/13.22 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2))) <=> (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11472,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex2))))),
% 19.64/13.22 inference(monotonicity,[status(thm)],[11471])).
% 19.64/13.22 tff(11473,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))),
% 19.64/13.22 inference(transitivity,[status(thm)],[11472, 11470])).
% 19.64/13.22 tff(11474,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11475,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB85) | v172(constB85) | v145(constB85) | v116(constB85) | v115(constB85) | v118(constB85) | (~v124(constB85, bitIndex2))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11474, 11473])).
% 19.64/13.22 tff(11476,plain,
% 19.64/13.22 (~v124(constB85, bitIndex2)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11475, 2037, 9638, 11314, 11310, 11230, 11226, 11234])).
% 19.64/13.22 tff(11477,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11478,plain,
% 19.64/13.22 ((v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2))) <=> ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11479,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2)))),
% 19.64/13.22 inference(monotonicity,[status(thm)],[11478])).
% 19.64/13.22 tff(11480,plain,
% 19.64/13.22 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 19.64/13.22 inference(transitivity,[status(thm)],[11479, 11477])).
% 19.64/13.22 tff(11481,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11482,plain,
% 19.64/13.22 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2)),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11481, 11480])).
% 19.64/13.22 tff(11483,plain,
% 19.64/13.22 ((~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11482, 391, 9585])).
% 19.64/13.22 tff(11484,plain,
% 19.64/13.22 (~v121(constB85, bitIndex2)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11483, 11476])).
% 19.64/13.22 tff(11485,plain,
% 19.64/13.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11486,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 19.64/13.22 inference(quant_inst,[status(thm)],[])).
% 19.64/13.22 tff(11487,plain,
% 19.64/13.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 19.64/13.22 inference(modus_ponens,[status(thm)],[11486, 11485])).
% 19.64/13.22 tff(11488,plain,
% 19.64/13.22 (v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11487, 409, 9600])).
% 19.64/13.22 tff(11489,plain,
% 19.64/13.22 (~v123(constB86, bitIndex2)),
% 19.64/13.22 inference(unit_resolution,[status(thm)],[11488, 11484])).
% 19.64/13.22 tff(11490,plain,
% 19.64/13.22 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 19.64/13.22 inference(rewrite,[status(thm)],[])).
% 19.64/13.22 tff(11491,plain,
% 19.64/13.22 (((~v84(constB86, bitIndex2)) | (~v94(constB86)) | v123(constB86, bitIndex2)) <=> ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11492,plain,
% 19.64/13.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~v94(constB86)) | v123(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86))))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11491])).
% 19.64/13.23 tff(11493,plain,
% 19.64/13.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~v94(constB86)) | v123(constB86, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11492, 11490])).
% 19.64/13.23 tff(11494,plain,
% 19.64/13.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~v94(constB86)) | v123(constB86, bitIndex2))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11495,plain,
% 19.64/13.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11494, 11493])).
% 19.64/13.23 tff(11496,plain,
% 19.64/13.23 ((~v84(constB86, bitIndex2)) | (~v94(constB86))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11495, 424, 11489])).
% 19.64/13.23 tff(11497,plain,
% 19.64/13.23 (~v84(constB86, bitIndex2)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11496, 9634])).
% 19.64/13.23 tff(11498,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11499,plain,
% 19.64/13.23 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2))) <=> (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11500,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2))))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11499])).
% 19.64/13.23 tff(11501,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11500, 11498])).
% 19.64/13.23 tff(11502,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11503,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11502, 11501])).
% 19.64/13.23 tff(11504,plain,
% 19.64/13.23 (v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11503, 121, 11281])).
% 19.64/13.23 tff(11505,plain,
% 19.64/13.23 (v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11504, 11293])).
% 19.64/13.23 tff(11506,plain,
% 19.64/13.23 (~v84(constB87, bitIndex2)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11505, 11497])).
% 19.64/13.23 tff(11507,plain,
% 19.64/13.23 (v145(constB87)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11403, 624, 11302, 11351, 11506])).
% 19.64/13.23 tff(11508,plain,
% 19.64/13.23 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11509,plain,
% 19.64/13.23 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11510,plain,
% 19.64/13.23 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB87)) | (~v124(constB87, bitIndex0))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11509, 11508])).
% 19.64/13.23 tff(11511,plain,
% 19.64/13.23 (~v124(constB87, bitIndex0)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11510, 871, 11507])).
% 19.64/13.23 tff(11512,plain,
% 19.64/13.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11513,plain,
% 19.64/13.23 ((v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0))) <=> ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11514,plain,
% 19.64/13.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0)))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11513])).
% 19.64/13.23 tff(11515,plain,
% 19.64/13.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11514, 11512])).
% 19.64/13.23 tff(11516,plain,
% 19.64/13.23 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11517,plain,
% 19.64/13.23 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0)),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11516, 11515])).
% 19.64/13.23 tff(11518,plain,
% 19.64/13.23 ((~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11517, 885, 11420])).
% 19.64/13.23 tff(11519,plain,
% 19.64/13.23 (~v121(constB87, bitIndex0)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11518, 11511])).
% 19.64/13.23 tff(11520,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11521,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11522,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11521, 11520])).
% 19.64/13.23 tff(11523,plain,
% 19.64/13.23 (v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11522, 903, 11435])).
% 19.64/13.23 tff(11524,plain,
% 19.64/13.23 (~v123(constB88, bitIndex0)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11523, 11519])).
% 19.64/13.23 tff(11525,plain,
% 19.64/13.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11526,plain,
% 19.64/13.23 (((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0)) <=> ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11527,plain,
% 19.64/13.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88))))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11526])).
% 19.64/13.23 tff(11528,plain,
% 19.64/13.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11527, 11525])).
% 19.64/13.23 tff(11529,plain,
% 19.64/13.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11530,plain,
% 19.64/13.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11529, 11528])).
% 19.64/13.23 tff(11531,plain,
% 19.64/13.23 ((~v84(constB88, bitIndex0)) | (~v94(constB88))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11530, 918, 11524])).
% 19.64/13.23 tff(11532,plain,
% 19.64/13.23 (~v84(constB88, bitIndex0)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11531, 11469])).
% 19.64/13.23 tff(11533,plain,
% 19.64/13.23 ((~v1(constB89)) <=> (~v1(constB89))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11534,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 19.64/13.23 tff(11535,plain,
% 19.64/13.23 (~v1(constB89)),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11534, 11533])).
% 19.64/13.23 tff(11536,plain,
% 19.64/13.23 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11537,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 19.64/13.23 tff(11538,plain,
% 19.64/13.23 (nextState(constB88, constB89)),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 19.64/13.23 tff(11539,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11540,plain,
% 19.64/13.23 (((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11541,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11540])).
% 19.64/13.23 tff(11542,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11541, 11539])).
% 19.64/13.23 tff(11543,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11544,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11543, 11542])).
% 19.64/13.23 tff(11545,plain,
% 19.64/13.23 (~v95(constB89)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11544, 89, 11538, 11535])).
% 19.64/13.23 tff(11546,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11547,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11548,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 19.64/13.23 tff(11549,plain,
% 19.64/13.23 (v95(constB89) | (~v94(constB89))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11548, 106, 11538])).
% 19.64/13.23 tff(11550,plain,
% 19.64/13.23 (~v94(constB89)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11549, 11545])).
% 19.64/13.23 tff(11551,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11552,plain,
% 19.64/13.23 (((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0))) <=> (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11553,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0))))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11552])).
% 19.64/13.23 tff(11554,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11553, 11551])).
% 19.64/13.23 tff(11555,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11556,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11555, 11554])).
% 19.64/13.23 tff(11557,plain,
% 19.64/13.23 (v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11556, 163, 11538])).
% 19.64/13.23 tff(11558,plain,
% 19.64/13.23 (v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11557, 11550])).
% 19.64/13.23 tff(11559,plain,
% 19.64/13.23 (~v84(constB89, bitIndex0)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11558, 11532])).
% 19.64/13.23 tff(11560,plain,
% 19.64/13.23 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11561,plain,
% 19.64/13.23 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11562,plain,
% 19.64/13.23 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB87)) | (~v124(constB87, bitIndex2))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11561, 11560])).
% 19.64/13.23 tff(11563,plain,
% 19.64/13.23 (~v124(constB87, bitIndex2)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11562, 638, 11507])).
% 19.64/13.23 tff(11564,plain,
% 19.64/13.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11565,plain,
% 19.64/13.23 ((v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2))) <=> ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11566,plain,
% 19.64/13.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2)))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11565])).
% 19.64/13.23 tff(11567,plain,
% 19.64/13.23 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11566, 11564])).
% 19.64/13.23 tff(11568,plain,
% 19.64/13.23 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11569,plain,
% 19.64/13.23 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2)),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 19.64/13.23 tff(11570,plain,
% 19.64/13.23 ((~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11569, 391, 11420])).
% 19.64/13.23 tff(11571,plain,
% 19.64/13.23 (~v121(constB87, bitIndex2)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11570, 11563])).
% 19.64/13.23 tff(11572,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11573,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11574,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11573, 11572])).
% 19.64/13.23 tff(11575,plain,
% 19.64/13.23 (v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11574, 409, 11435])).
% 19.64/13.23 tff(11576,plain,
% 19.64/13.23 (~v123(constB88, bitIndex2)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11575, 11571])).
% 19.64/13.23 tff(11577,plain,
% 19.64/13.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11578,plain,
% 19.64/13.23 (((~v84(constB88, bitIndex2)) | (~v94(constB88)) | v123(constB88, bitIndex2)) <=> ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11579,plain,
% 19.64/13.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | (~v94(constB88)) | v123(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88))))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11578])).
% 19.64/13.23 tff(11580,plain,
% 19.64/13.23 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | (~v94(constB88)) | v123(constB88, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11579, 11577])).
% 19.64/13.23 tff(11581,plain,
% 19.64/13.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | (~v94(constB88)) | v123(constB88, bitIndex2))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11582,plain,
% 19.64/13.23 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11581, 11580])).
% 19.64/13.23 tff(11583,plain,
% 19.64/13.23 ((~v84(constB88, bitIndex2)) | (~v94(constB88))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11582, 424, 11576])).
% 19.64/13.23 tff(11584,plain,
% 19.64/13.23 (~v84(constB88, bitIndex2)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11583, 11469])).
% 19.64/13.23 tff(11585,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11586,plain,
% 19.64/13.23 (((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2))) <=> (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 19.64/13.23 inference(rewrite,[status(thm)],[])).
% 19.64/13.23 tff(11587,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2))))),
% 19.64/13.23 inference(monotonicity,[status(thm)],[11586])).
% 19.64/13.23 tff(11588,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 19.64/13.23 inference(transitivity,[status(thm)],[11587, 11585])).
% 19.64/13.23 tff(11589,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 19.64/13.23 inference(quant_inst,[status(thm)],[])).
% 19.64/13.23 tff(11590,plain,
% 19.64/13.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2))),
% 19.64/13.23 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 19.64/13.23 tff(11591,plain,
% 19.64/13.23 (v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11590, 121, 11538])).
% 19.64/13.23 tff(11592,plain,
% 19.64/13.23 (v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2))),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11591, 11550])).
% 19.64/13.23 tff(11593,plain,
% 19.64/13.23 (~v84(constB89, bitIndex2)),
% 19.64/13.23 inference(unit_resolution,[status(thm)],[11592, 11584])).
% 19.64/13.23 tff(11594,assumption,(~v84(constB89, bitIndex0)), introduced(assumption)).
% 19.64/13.23 tff(11595,plain,
% 19.64/13.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11596,plain,
% 19.64/13.24 (((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0)) <=> ((~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11597,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0)))),
% 19.64/13.24 inference(monotonicity,[status(thm)],[11596])).
% 19.64/13.24 tff(11598,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0))),
% 19.64/13.24 inference(transitivity,[status(thm)],[11597, 11595])).
% 19.64/13.24 tff(11599,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11600,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex0)),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11599, 11598])).
% 19.64/13.24 tff(11601,plain,
% 19.64/13.24 ((~v84(constB88, bitIndex0)) | v94(constB89) | v84(constB89, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11600, 605, 11538])).
% 19.64/13.24 tff(11602,plain,
% 19.64/13.24 ((~v84(constB88, bitIndex0)) | v84(constB89, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11601, 11550])).
% 19.64/13.24 tff(11603,plain,
% 19.64/13.24 (~v84(constB88, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11602, 11594])).
% 19.64/13.24 tff(11604,assumption,(~v84(constB89, bitIndex2)), introduced(assumption)).
% 19.64/13.24 tff(11605,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11606,plain,
% 19.64/13.24 (((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex2)) | v94(constB89) | v84(constB89, bitIndex2)) <=> ((~v84(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11607,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex2)) | v94(constB89) | v84(constB89, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex2)))),
% 19.64/13.24 inference(monotonicity,[status(thm)],[11606])).
% 19.64/13.24 tff(11608,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex2)) | v94(constB89) | v84(constB89, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex2))),
% 19.64/13.24 inference(transitivity,[status(thm)],[11607, 11605])).
% 19.64/13.24 tff(11609,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex2)) | v94(constB89) | v84(constB89, bitIndex2))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11610,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB88, bitIndex2)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex2)),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11609, 11608])).
% 19.64/13.24 tff(11611,plain,
% 19.64/13.24 ((~v84(constB88, bitIndex2)) | v94(constB89) | v84(constB89, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11610, 1339, 11538])).
% 19.64/13.24 tff(11612,plain,
% 19.64/13.24 ((~v84(constB88, bitIndex2)) | v84(constB89, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11611, 11550])).
% 19.64/13.24 tff(11613,plain,
% 19.64/13.24 (~v84(constB88, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11612, 11604])).
% 19.64/13.24 tff(11614,plain,
% 19.64/13.24 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB85) | (~v116(constB85)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB85) | (~v116(constB85)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11615,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB85) | (~v116(constB85)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11616,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB85) | (~v116(constB85))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11615, 11614])).
% 19.64/13.24 tff(11617,plain,
% 19.64/13.24 (v110(constB85)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11616, 1187, 9643])).
% 19.64/13.24 tff(11618,plain,
% 19.64/13.24 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB85) | (~v110(constB85)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB85) | (~v110(constB85)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11619,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB85) | (~v110(constB85)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11620,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB85) | (~v110(constB85))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 19.64/13.24 tff(11621,plain,
% 19.64/13.24 (v109(constB85)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11620, 228, 11617])).
% 19.64/13.24 tff(11622,plain,
% 19.64/13.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB85) | (~v109(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB85) | (~v109(constB85)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11623,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB85) | (~v109(constB85)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11624,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB85) | (~v109(constB85))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 19.64/13.24 tff(11625,plain,
% 19.64/13.24 (v108(constB85)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11624, 239, 11621])).
% 19.64/13.24 tff(11626,plain,
% 19.64/13.24 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB85) | (~v108(constB85)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB85) | (~v108(constB85)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11627,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB85) | (~v108(constB85)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11628,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB85) | (~v108(constB85))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 19.64/13.24 tff(11629,plain,
% 19.64/13.24 (v107(constB85)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11628, 250, 11625])).
% 19.64/13.24 tff(11630,plain,
% 19.64/13.24 (v106(constB85)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[9592, 11629])).
% 19.64/13.24 tff(11631,plain,
% 19.64/13.24 (v102(constB85)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[9596, 276, 11630])).
% 19.64/13.24 tff(11632,plain,
% 19.64/13.24 (v104(constB86)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[9607, 11631])).
% 19.64/13.24 tff(11633,plain,
% 19.64/13.24 (v94(constB86)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[9633, 11632])).
% 19.64/13.24 tff(11634,plain,
% 19.64/13.24 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB85)) | v124(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB85)) | v124(constB85, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11635,plain,
% 19.64/13.24 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB85)) | v124(constB85, bitIndex2))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11636,plain,
% 19.64/13.24 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB85)) | v124(constB85, bitIndex2)),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 19.64/13.24 tff(11637,plain,
% 19.64/13.24 (v124(constB85, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11636, 1259, 9643])).
% 19.64/13.24 tff(11638,plain,
% 19.64/13.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB85) | (~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB85) | (~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11639,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB85) | (~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11640,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB85) | (~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2)),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 19.64/13.24 tff(11641,plain,
% 19.64/13.24 ((~v124(constB85, bitIndex2)) | v121(constB85, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11640, 1273, 9585])).
% 19.64/13.24 tff(11642,plain,
% 19.64/13.24 (v121(constB85, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11641, 11637])).
% 19.64/13.24 tff(11643,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11644,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11645,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2)),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11644, 11643])).
% 19.64/13.24 tff(11646,plain,
% 19.64/13.24 ((~v121(constB85, bitIndex2)) | v123(constB86, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11645, 1288, 9600])).
% 19.64/13.24 tff(11647,plain,
% 19.64/13.24 (v123(constB86, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11646, 11642])).
% 19.64/13.24 tff(11648,plain,
% 19.64/13.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11649,plain,
% 19.64/13.24 ((v84(constB86, bitIndex2) | (~v94(constB86)) | (~v123(constB86, bitIndex2))) <=> (v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11650,plain,
% 19.64/13.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v94(constB86)) | (~v123(constB86, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86))))),
% 19.64/13.24 inference(monotonicity,[status(thm)],[11649])).
% 19.64/13.24 tff(11651,plain,
% 19.64/13.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v94(constB86)) | (~v123(constB86, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86)))),
% 19.64/13.24 inference(transitivity,[status(thm)],[11650, 11648])).
% 19.64/13.24 tff(11652,plain,
% 19.64/13.24 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~v94(constB86)) | (~v123(constB86, bitIndex2)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11653,plain,
% 19.64/13.24 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~v123(constB86, bitIndex2)) | (~v94(constB86))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 19.64/13.24 tff(11654,plain,
% 19.64/13.24 (v84(constB86, bitIndex2) | (~v94(constB86))),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11653, 1303, 11647])).
% 19.64/13.24 tff(11655,plain,
% 19.64/13.24 (v84(constB86, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11654, 11633])).
% 19.64/13.24 tff(11656,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11657,plain,
% 19.64/13.24 (((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2)) <=> ((~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11658,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2)))),
% 19.64/13.24 inference(monotonicity,[status(thm)],[11657])).
% 19.64/13.24 tff(11659,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2))),
% 19.64/13.24 inference(transitivity,[status(thm)],[11658, 11656])).
% 19.64/13.24 tff(11660,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11661,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB86, bitIndex2)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex2)),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11660, 11659])).
% 19.64/13.24 tff(11662,plain,
% 19.64/13.24 ((~v84(constB86, bitIndex2)) | v94(constB87) | v84(constB87, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11661, 1339, 11281])).
% 19.64/13.24 tff(11663,plain,
% 19.64/13.24 ((~v84(constB86, bitIndex2)) | v84(constB87, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11662, 11293])).
% 19.64/13.24 tff(11664,plain,
% 19.64/13.24 (v84(constB87, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11663, 11655])).
% 19.64/13.24 tff(11665,plain,
% 19.64/13.24 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB85)) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB85)) | (~v124(constB85, bitIndex1)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11666,plain,
% 19.64/13.24 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB85)) | (~v124(constB85, bitIndex1)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11667,plain,
% 19.64/13.24 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB85)) | (~v124(constB85, bitIndex1))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 19.64/13.24 tff(11668,plain,
% 19.64/13.24 (~v124(constB85, bitIndex1)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11667, 1358, 9643])).
% 19.64/13.24 tff(11669,plain,
% 19.64/13.24 (~v121(constB85, bitIndex1)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11328, 11668])).
% 19.64/13.24 tff(11670,plain,
% 19.64/13.24 (~v123(constB86, bitIndex1)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11333, 11669])).
% 19.64/13.24 tff(11671,plain,
% 19.64/13.24 ((~v84(constB86, bitIndex1)) | (~v94(constB86))),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11340, 516, 11670])).
% 19.64/13.24 tff(11672,plain,
% 19.64/13.24 (~v84(constB86, bitIndex1)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11671, 11633])).
% 19.64/13.24 tff(11673,plain,
% 19.64/13.24 (~v84(constB87, bitIndex1)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11350, 11672])).
% 19.64/13.24 tff(11674,plain,
% 19.64/13.24 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB85)) | (~v124(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB85)) | (~v124(constB85, bitIndex0)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11675,plain,
% 19.64/13.24 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB85)) | (~v124(constB85, bitIndex0)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11676,plain,
% 19.64/13.24 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB85)) | (~v124(constB85, bitIndex0))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11675, 11674])).
% 19.64/13.24 tff(11677,plain,
% 19.64/13.24 (~v124(constB85, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11676, 1402, 9643])).
% 19.64/13.24 tff(11678,plain,
% 19.64/13.24 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB85, bitIndex0)) | v26(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB85, bitIndex0)) | v26(constB85) | v124(constB85, bitIndex0))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11679,plain,
% 19.64/13.24 ((v26(constB85) | v124(constB85, bitIndex0) | (~v121(constB85, bitIndex0))) <=> ((~v121(constB85, bitIndex0)) | v26(constB85) | v124(constB85, bitIndex0))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11680,plain,
% 19.64/13.24 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB85) | v124(constB85, bitIndex0) | (~v121(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB85, bitIndex0)) | v26(constB85) | v124(constB85, bitIndex0)))),
% 19.64/13.24 inference(monotonicity,[status(thm)],[11679])).
% 19.64/13.24 tff(11681,plain,
% 19.64/13.24 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB85) | v124(constB85, bitIndex0) | (~v121(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB85, bitIndex0)) | v26(constB85) | v124(constB85, bitIndex0))),
% 19.64/13.24 inference(transitivity,[status(thm)],[11680, 11678])).
% 19.64/13.24 tff(11682,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB85) | v124(constB85, bitIndex0) | (~v121(constB85, bitIndex0)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11683,plain,
% 19.64/13.24 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB85, bitIndex0)) | v26(constB85) | v124(constB85, bitIndex0)),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 19.64/13.24 tff(11684,plain,
% 19.64/13.24 ((~v121(constB85, bitIndex0)) | v124(constB85, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11683, 885, 9585])).
% 19.64/13.24 tff(11685,plain,
% 19.64/13.24 (~v121(constB85, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11684, 11677])).
% 19.64/13.24 tff(11686,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex0) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex0) | (~v123(constB86, bitIndex0)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11687,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex0) | (~v123(constB86, bitIndex0)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11688,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex0) | (~v123(constB86, bitIndex0))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11687, 11686])).
% 19.64/13.24 tff(11689,plain,
% 19.64/13.24 (v121(constB85, bitIndex0) | (~v123(constB86, bitIndex0))),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11688, 903, 9600])).
% 19.64/13.24 tff(11690,plain,
% 19.64/13.24 (~v123(constB86, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11689, 11685])).
% 19.64/13.24 tff(11691,plain,
% 19.64/13.24 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | v123(constB86, bitIndex0) | (~v94(constB86)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | v123(constB86, bitIndex0) | (~v94(constB86)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11692,plain,
% 19.64/13.24 (((~v84(constB86, bitIndex0)) | (~v94(constB86)) | v123(constB86, bitIndex0)) <=> ((~v84(constB86, bitIndex0)) | v123(constB86, bitIndex0) | (~v94(constB86)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11693,plain,
% 19.64/13.24 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~v94(constB86)) | v123(constB86, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | v123(constB86, bitIndex0) | (~v94(constB86))))),
% 19.64/13.24 inference(monotonicity,[status(thm)],[11692])).
% 19.64/13.24 tff(11694,plain,
% 19.64/13.24 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~v94(constB86)) | v123(constB86, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | v123(constB86, bitIndex0) | (~v94(constB86)))),
% 19.64/13.24 inference(transitivity,[status(thm)],[11693, 11691])).
% 19.64/13.24 tff(11695,plain,
% 19.64/13.24 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~v94(constB86)) | v123(constB86, bitIndex0))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11696,plain,
% 19.64/13.24 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | v123(constB86, bitIndex0) | (~v94(constB86))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11695, 11694])).
% 19.64/13.24 tff(11697,plain,
% 19.64/13.24 ((~v84(constB86, bitIndex0)) | (~v94(constB86))),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11696, 918, 11690])).
% 19.64/13.24 tff(11698,plain,
% 19.64/13.24 (~v84(constB86, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11697, 11633])).
% 19.64/13.24 tff(11699,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex0)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11700,plain,
% 19.64/13.24 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex0) | v94(constB87) | (~v84(constB87, bitIndex0))) <=> (v84(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex0)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11701,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex0) | v94(constB87) | (~v84(constB87, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex0))))),
% 19.64/13.24 inference(monotonicity,[status(thm)],[11700])).
% 19.64/13.24 tff(11702,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex0) | v94(constB87) | (~v84(constB87, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex0)))),
% 19.64/13.24 inference(transitivity,[status(thm)],[11701, 11699])).
% 19.64/13.24 tff(11703,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex0) | v94(constB87) | (~v84(constB87, bitIndex0)))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11704,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex0))),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11703, 11702])).
% 19.64/13.24 tff(11705,plain,
% 19.64/13.24 (v84(constB86, bitIndex0) | v94(constB87) | (~v84(constB87, bitIndex0))),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11704, 163, 11281])).
% 19.64/13.24 tff(11706,plain,
% 19.64/13.24 (v84(constB86, bitIndex0) | (~v84(constB87, bitIndex0))),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11705, 11293])).
% 19.64/13.24 tff(11707,plain,
% 19.64/13.24 (~v84(constB87, bitIndex0)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11706, 11698])).
% 19.64/13.24 tff(11708,plain,
% 19.64/13.24 (v172(constB87)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11387, 1446, 11707, 11673, 11664])).
% 19.64/13.24 tff(11709,assumption,(~v84(constB88, bitIndex2)), introduced(assumption)).
% 19.64/13.24 tff(11710,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11711,plain,
% 19.64/13.24 (((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex2)) | v94(constB88) | v84(constB88, bitIndex2)) <=> ((~v84(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex2))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11712,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex2)) | v94(constB88) | v84(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex2)))),
% 19.64/13.24 inference(monotonicity,[status(thm)],[11711])).
% 19.64/13.24 tff(11713,plain,
% 19.64/13.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex2)) | v94(constB88) | v84(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex2))),
% 19.64/13.24 inference(transitivity,[status(thm)],[11712, 11710])).
% 19.64/13.24 tff(11714,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex2)) | v94(constB88) | v84(constB88, bitIndex2))),
% 19.64/13.24 inference(quant_inst,[status(thm)],[])).
% 19.64/13.24 tff(11715,plain,
% 19.64/13.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB87, bitIndex2)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex2)),
% 19.64/13.24 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 19.64/13.24 tff(11716,plain,
% 19.64/13.24 ((~v84(constB87, bitIndex2)) | v94(constB88) | v84(constB88, bitIndex2)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11715, 1339, 11435])).
% 19.64/13.24 tff(11717,plain,
% 19.64/13.24 (v94(constB88)),
% 19.64/13.24 inference(unit_resolution,[status(thm)],[11716, 11664, 11709])).
% 19.64/13.24 tff(11718,assumption,(~v84(constB88, bitIndex0)), introduced(assumption)).
% 19.64/13.24 tff(11719,plain,
% 19.64/13.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11720,plain,
% 19.64/13.24 ((v84(constB88, bitIndex0) | (~v94(constB88)) | (~v123(constB88, bitIndex0))) <=> (v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88)))),
% 19.64/13.24 inference(rewrite,[status(thm)],[])).
% 19.64/13.24 tff(11721,plain,
% 19.64/13.24 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v94(constB88)) | (~v123(constB88, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88))))),
% 19.64/13.25 inference(monotonicity,[status(thm)],[11720])).
% 19.64/13.25 tff(11722,plain,
% 19.64/13.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v94(constB88)) | (~v123(constB88, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88)))),
% 19.64/13.25 inference(transitivity,[status(thm)],[11721, 11719])).
% 19.64/13.25 tff(11723,plain,
% 19.64/13.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~v94(constB88)) | (~v123(constB88, bitIndex0)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11724,plain,
% 19.64/13.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)) | (~v94(constB88))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11723, 11722])).
% 19.64/13.25 tff(11725,plain,
% 19.64/13.25 ((~v123(constB88, bitIndex0)) | (~v94(constB88))),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11724, 587, 11718])).
% 19.64/13.25 tff(11726,plain,
% 19.64/13.25 (~v123(constB88, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11725, 11717])).
% 19.64/13.25 tff(11727,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11728,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11729,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11728, 11727])).
% 19.64/13.25 tff(11730,plain,
% 19.64/13.25 ((~v121(constB87, bitIndex0)) | v123(constB88, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11729, 572, 11435])).
% 19.64/13.25 tff(11731,plain,
% 19.64/13.25 (~v121(constB87, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11730, 11726])).
% 19.64/13.25 tff(11732,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB87) | (~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB87) | (~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11733,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB87) | (~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11734,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB87) | (~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 19.64/13.25 tff(11735,plain,
% 19.64/13.25 ((~v124(constB87, bitIndex0)) | v121(constB87, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11734, 557, 11420])).
% 19.64/13.25 tff(11736,plain,
% 19.64/13.25 (~v124(constB87, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11735, 11731])).
% 19.64/13.25 tff(11737,plain,
% 19.64/13.25 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB87)) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB87)) | v124(constB87, bitIndex0))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11738,plain,
% 19.64/13.25 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB87)) | v124(constB87, bitIndex0))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11739,plain,
% 19.64/13.25 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB87)) | v124(constB87, bitIndex0)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11738, 11737])).
% 19.64/13.25 tff(11740,plain,
% 19.64/13.25 ($false),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11739, 1631, 11736, 11708])).
% 19.64/13.25 tff(11741,plain,((~v116(constB85)) | v84(constB88, bitIndex0) | v84(constB88, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.25 tff(11742,plain,
% 19.64/13.25 (~v116(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11741, 11613, 11603])).
% 19.64/13.25 tff(11743,assumption,(~v115(constB87)), introduced(assumption)).
% 19.64/13.25 tff(11744,assumption,(~v115(constB89)), introduced(assumption)).
% 19.64/13.25 tff(11745,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11746,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11747,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11746, 11745])).
% 19.64/13.25 tff(11748,plain,
% 19.64/13.25 (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11747, 945, 11744])).
% 19.64/13.25 tff(11749,plain,
% 19.64/13.25 (~v84(constB89, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11748, 11604, 11594])).
% 19.64/13.25 tff(11750,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11751,plain,
% 19.64/13.25 (((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1)) <=> ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11752,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1)))),
% 19.64/13.25 inference(monotonicity,[status(thm)],[11751])).
% 19.64/13.25 tff(11753,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 19.64/13.25 inference(transitivity,[status(thm)],[11752, 11750])).
% 19.64/13.25 tff(11754,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11755,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11754, 11753])).
% 19.64/13.25 tff(11756,plain,
% 19.64/13.25 ((~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11755, 852, 11538])).
% 19.64/13.25 tff(11757,plain,
% 19.64/13.25 ((~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11756, 11550])).
% 19.64/13.25 tff(11758,plain,
% 19.64/13.25 (~v84(constB88, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11757, 11749])).
% 19.64/13.25 tff(11759,assumption,(v145(constB85)), introduced(assumption)).
% 19.64/13.25 tff(11760,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB85) | (~v145(constB85)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB85) | (~v145(constB85)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11761,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB85) | (~v145(constB85)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11762,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB85) | (~v145(constB85))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 19.64/13.25 tff(11763,plain,
% 19.64/13.25 (v112(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11762, 681, 11759])).
% 19.64/13.25 tff(11764,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB85) | (~v112(constB85)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11765,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB85) | (~v112(constB85)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11766,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB85) | (~v112(constB85))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 19.64/13.25 tff(11767,plain,
% 19.64/13.25 (v111(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11766, 206, 11763])).
% 19.64/13.25 tff(11768,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB85) | (~v111(constB85)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB85) | (~v111(constB85)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11769,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB85) | (~v111(constB85)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11770,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB85) | (~v111(constB85))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11769, 11768])).
% 19.64/13.25 tff(11771,plain,
% 19.64/13.25 (v110(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11770, 217, 11767])).
% 19.64/13.25 tff(11772,plain,
% 19.64/13.25 (v109(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11620, 228, 11771])).
% 19.64/13.25 tff(11773,plain,
% 19.64/13.25 (v108(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11624, 239, 11772])).
% 19.64/13.25 tff(11774,plain,
% 19.64/13.25 (v107(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11628, 250, 11773])).
% 19.64/13.25 tff(11775,plain,
% 19.64/13.25 (v106(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[9592, 11774])).
% 19.64/13.25 tff(11776,plain,
% 19.64/13.25 (v102(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[9596, 276, 11775])).
% 19.64/13.25 tff(11777,plain,
% 19.64/13.25 (v104(constB86)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[9607, 11776])).
% 19.64/13.25 tff(11778,plain,
% 19.64/13.25 (v94(constB86)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[9633, 11777])).
% 19.64/13.25 tff(11779,plain,
% 19.64/13.25 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB85)) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB85)) | (~v124(constB85, bitIndex2)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11780,plain,
% 19.64/13.25 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB85)) | (~v124(constB85, bitIndex2)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11781,plain,
% 19.64/13.25 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB85)) | (~v124(constB85, bitIndex2))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11780, 11779])).
% 19.64/13.25 tff(11782,plain,
% 19.64/13.25 (~v124(constB85, bitIndex2)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11781, 638, 11759])).
% 19.64/13.25 tff(11783,plain,
% 19.64/13.25 (~v121(constB85, bitIndex2)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11483, 11782])).
% 19.64/13.25 tff(11784,plain,
% 19.64/13.25 (~v123(constB86, bitIndex2)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11488, 11783])).
% 19.64/13.25 tff(11785,plain,
% 19.64/13.25 ((~v84(constB86, bitIndex2)) | (~v94(constB86))),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11495, 424, 11784])).
% 19.64/13.25 tff(11786,plain,
% 19.64/13.25 (~v84(constB86, bitIndex2)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11785, 11778])).
% 19.64/13.25 tff(11787,plain,
% 19.64/13.25 (~v84(constB87, bitIndex2)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11505, 11786])).
% 19.64/13.25 tff(11788,plain,
% 19.64/13.25 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB85)) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB85)) | v124(constB85, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11789,plain,
% 19.64/13.25 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB85)) | v124(constB85, bitIndex1))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11790,plain,
% 19.64/13.25 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB85)) | v124(constB85, bitIndex1)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 19.64/13.25 tff(11791,plain,
% 19.64/13.25 (v124(constB85, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11790, 790, 11759])).
% 19.64/13.25 tff(11792,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB85) | (~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB85) | (~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11793,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB85) | (~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11794,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB85) | (~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 19.64/13.25 tff(11795,plain,
% 19.64/13.25 ((~v124(constB85, bitIndex1)) | v121(constB85, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11794, 804, 9585])).
% 19.64/13.25 tff(11796,plain,
% 19.64/13.25 (v121(constB85, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11795, 11791])).
% 19.64/13.25 tff(11797,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11798,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11799,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11798, 11797])).
% 19.64/13.25 tff(11800,plain,
% 19.64/13.25 ((~v121(constB85, bitIndex1)) | v123(constB86, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11799, 819, 9600])).
% 19.64/13.25 tff(11801,plain,
% 19.64/13.25 (v123(constB86, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11800, 11796])).
% 19.64/13.25 tff(11802,plain,
% 19.64/13.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11803,plain,
% 19.64/13.25 ((v84(constB86, bitIndex1) | (~v94(constB86)) | (~v123(constB86, bitIndex1))) <=> (v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11804,plain,
% 19.64/13.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v94(constB86)) | (~v123(constB86, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86))))),
% 19.64/13.25 inference(monotonicity,[status(thm)],[11803])).
% 19.64/13.25 tff(11805,plain,
% 19.64/13.25 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v94(constB86)) | (~v123(constB86, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86)))),
% 19.64/13.25 inference(transitivity,[status(thm)],[11804, 11802])).
% 19.64/13.25 tff(11806,plain,
% 19.64/13.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~v94(constB86)) | (~v123(constB86, bitIndex1)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11807,plain,
% 19.64/13.25 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~v123(constB86, bitIndex1)) | (~v94(constB86))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11806, 11805])).
% 19.64/13.25 tff(11808,plain,
% 19.64/13.25 (v84(constB86, bitIndex1) | (~v94(constB86))),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11807, 834, 11801])).
% 19.64/13.25 tff(11809,plain,
% 19.64/13.25 (v84(constB86, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11808, 11778])).
% 19.64/13.25 tff(11810,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11811,plain,
% 19.64/13.25 (((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1)) <=> ((~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11812,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1)))),
% 19.64/13.25 inference(monotonicity,[status(thm)],[11811])).
% 19.64/13.25 tff(11813,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1))),
% 19.64/13.25 inference(transitivity,[status(thm)],[11812, 11810])).
% 19.64/13.25 tff(11814,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11815,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex1)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11814, 11813])).
% 19.64/13.25 tff(11816,plain,
% 19.64/13.25 ((~v84(constB86, bitIndex1)) | v94(constB87) | v84(constB87, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11815, 852, 11281])).
% 19.64/13.25 tff(11817,plain,
% 19.64/13.25 ((~v84(constB86, bitIndex1)) | v84(constB87, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11816, 11293])).
% 19.64/13.25 tff(11818,plain,
% 19.64/13.25 (v84(constB87, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11817, 11809])).
% 19.64/13.25 tff(11819,plain,
% 19.64/13.25 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB85)) | (~v124(constB85, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB85)) | (~v124(constB85, bitIndex0)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11820,plain,
% 19.64/13.25 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB85)) | (~v124(constB85, bitIndex0)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11821,plain,
% 19.64/13.25 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB85)) | (~v124(constB85, bitIndex0))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11820, 11819])).
% 19.64/13.25 tff(11822,plain,
% 19.64/13.25 (~v124(constB85, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11821, 871, 11759])).
% 19.64/13.25 tff(11823,plain,
% 19.64/13.25 (~v121(constB85, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11684, 11822])).
% 19.64/13.25 tff(11824,plain,
% 19.64/13.25 (~v123(constB86, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11689, 11823])).
% 19.64/13.25 tff(11825,plain,
% 19.64/13.25 ((~v84(constB86, bitIndex0)) | (~v94(constB86))),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11696, 918, 11824])).
% 19.64/13.25 tff(11826,plain,
% 19.64/13.25 (~v84(constB86, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11825, 11778])).
% 19.64/13.25 tff(11827,plain,
% 19.64/13.25 (~v84(constB87, bitIndex0)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11706, 11826])).
% 19.64/13.25 tff(11828,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v115(constB87))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v115(constB87))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11829,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v115(constB87))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11830,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v115(constB87)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 19.64/13.25 tff(11831,plain,
% 19.64/13.25 (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11830, 945, 11743])).
% 19.64/13.25 tff(11832,plain,
% 19.64/13.25 ($false),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11831, 11827, 11818, 11787])).
% 19.64/13.25 tff(11833,plain,((~v145(constB85)) | v115(constB87)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.25 tff(11834,plain,
% 19.64/13.25 (~v145(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11833, 11743])).
% 19.64/13.25 tff(11835,assumption,(~v84(constB86, bitIndex1)), introduced(assumption)).
% 19.64/13.25 tff(11836,assumption,(~v102(constB85)), introduced(assumption)).
% 19.64/13.25 tff(11837,plain,
% 19.64/13.25 (~v106(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[9596, 276, 11836])).
% 19.64/13.25 tff(11838,plain,
% 19.64/13.25 (~v107(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[9592, 11837])).
% 19.64/13.25 tff(11839,plain,
% 19.64/13.25 (~v108(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11628, 250, 11838])).
% 19.64/13.25 tff(11840,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB85) | (~v118(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB85) | (~v118(constB85)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11841,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB85) | (~v118(constB85)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11842,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB85) | (~v118(constB85))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 19.64/13.25 tff(11843,plain,
% 19.64/13.25 (~v118(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11842, 1683, 11839])).
% 19.64/13.25 tff(11844,plain,
% 19.64/13.25 (~v109(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11624, 239, 11839])).
% 19.64/13.25 tff(11845,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB85) | (~v172(constB85)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB85) | (~v172(constB85)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11846,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB85) | (~v172(constB85)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11847,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB85) | (~v172(constB85))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11846, 11845])).
% 19.64/13.25 tff(11848,plain,
% 19.64/13.25 (~v172(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11847, 1457, 11844])).
% 19.64/13.25 tff(11849,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11850,plain,
% 19.64/13.25 (((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86))) <=> ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11851,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85)))),
% 19.64/13.25 inference(monotonicity,[status(thm)],[11850])).
% 19.64/13.25 tff(11852,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 19.64/13.25 inference(transitivity,[status(thm)],[11851, 11849])).
% 19.64/13.25 tff(11853,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11854,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 19.64/13.25 tff(11855,plain,
% 19.64/13.25 ((~v104(constB86)) | v102(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11854, 8402, 9600])).
% 19.64/13.25 tff(11856,plain,
% 19.64/13.25 (~v104(constB86)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11855, 11836])).
% 19.64/13.25 tff(11857,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11858,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11859,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 19.64/13.25 tff(11860,plain,
% 19.64/13.25 (v104(constB86) | (~v94(constB86))),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11859, 8420, 9600])).
% 19.64/13.25 tff(11861,plain,
% 19.64/13.25 (~v94(constB86)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11860, 11856])).
% 19.64/13.25 tff(11862,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11863,plain,
% 19.64/13.25 (((~nextState(constB85, constB86)) | (~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1)) <=> ((~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11864,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1)))),
% 19.64/13.25 inference(monotonicity,[status(thm)],[11863])).
% 19.64/13.25 tff(11865,plain,
% 19.64/13.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1))),
% 19.64/13.25 inference(transitivity,[status(thm)],[11864, 11862])).
% 19.64/13.25 tff(11866,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB85, constB86)) | (~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11867,plain,
% 19.64/13.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB85, bitIndex1)) | (~nextState(constB85, constB86)) | v94(constB86) | v84(constB86, bitIndex1)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 19.64/13.25 tff(11868,plain,
% 19.64/13.25 ((~v84(constB85, bitIndex1)) | v94(constB86) | v84(constB86, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11867, 852, 9600])).
% 19.64/13.25 tff(11869,plain,
% 19.64/13.25 (~v84(constB85, bitIndex1)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11868, 11861, 11835])).
% 19.64/13.25 tff(11870,plain,
% 19.64/13.25 (~v110(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11620, 228, 11844])).
% 19.64/13.25 tff(11871,plain,
% 19.64/13.25 (~v111(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11770, 217, 11870])).
% 19.64/13.25 tff(11872,plain,
% 19.64/13.25 (~v112(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11766, 206, 11871])).
% 19.64/13.25 tff(11873,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB85) | (~v113(constB85)))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11874,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB85) | (~v113(constB85)))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11875,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB85) | (~v113(constB85))),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11874, 11873])).
% 19.64/13.25 tff(11876,plain,
% 19.64/13.25 (~v113(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11875, 195, 11872])).
% 19.64/13.25 tff(11877,assumption,(~v113(constB85)), introduced(assumption)).
% 19.64/13.25 tff(11878,assumption,(~v84(constB85, bitIndex0)), introduced(assumption)).
% 19.64/13.25 tff(11879,assumption,(~v172(constB85)), introduced(assumption)).
% 19.64/13.25 tff(11880,assumption,(~v84(constB85, bitIndex1)), introduced(assumption)).
% 19.64/13.25 tff(11881,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))),
% 19.64/13.25 inference(rewrite,[status(thm)],[])).
% 19.64/13.25 tff(11882,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))),
% 19.64/13.25 inference(quant_inst,[status(thm)],[])).
% 19.64/13.25 tff(11883,plain,
% 19.64/13.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85)),
% 19.64/13.25 inference(modus_ponens,[status(thm)],[11882, 11881])).
% 19.64/13.25 tff(11884,plain,
% 19.64/13.25 (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex2)) | v172(constB85)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11883, 1446, 11880])).
% 19.64/13.25 tff(11885,plain,
% 19.64/13.25 (~v84(constB85, bitIndex2)),
% 19.64/13.25 inference(unit_resolution,[status(thm)],[11884, 11878, 11879])).
% 19.64/13.25 tff(11886,plain,
% 19.64/13.25 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11887,plain,
% 19.64/13.26 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11888,plain,
% 19.64/13.26 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11887, 11886])).
% 19.64/13.26 tff(11889,plain,
% 19.64/13.26 (v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex2)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11888, 184, 11880])).
% 19.64/13.26 tff(11890,plain,
% 19.64/13.26 ($false),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11889, 11885, 11878, 11877])).
% 19.64/13.26 tff(11891,plain,(v84(constB85, bitIndex0) | v113(constB85) | v84(constB85, bitIndex1) | v172(constB85)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.26 tff(11892,plain,
% 19.64/13.26 (v84(constB85, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11891, 11876, 11869, 11848])).
% 19.64/13.26 tff(11893,plain,
% 19.64/13.26 (~v145(constB85)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11762, 681, 11872])).
% 19.64/13.26 tff(11894,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11895,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11896,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11895, 11894])).
% 19.64/13.26 tff(11897,plain,
% 19.64/13.26 ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | v145(constB85)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11896, 624, 11869])).
% 19.64/13.26 tff(11898,plain,
% 19.64/13.26 (v84(constB85, bitIndex2)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11897, 11892, 11893])).
% 19.64/13.26 tff(11899,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11900,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11901,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11900, 11899])).
% 19.64/13.26 tff(11902,plain,
% 19.64/13.26 ((~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex2)) | v118(constB85)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11901, 1672, 11869])).
% 19.64/13.26 tff(11903,plain,
% 19.64/13.26 ($false),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11902, 11898, 11892, 11843])).
% 19.64/13.26 tff(11904,plain,(v102(constB85) | v84(constB86, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.26 tff(11905,plain,
% 19.64/13.26 (v102(constB85)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11904, 11835])).
% 19.64/13.26 tff(11906,plain,
% 19.64/13.26 (v104(constB86)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[9607, 11905])).
% 19.64/13.26 tff(11907,plain,
% 19.64/13.26 (v94(constB86)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[9633, 11906])).
% 19.64/13.26 tff(11908,plain,
% 19.64/13.26 (~v123(constB86, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11807, 834, 11907, 11835])).
% 19.64/13.26 tff(11909,plain,
% 19.64/13.26 (~v121(constB85, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11800, 11908])).
% 19.64/13.26 tff(11910,plain,
% 19.64/13.26 (~v124(constB85, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11795, 11909])).
% 19.64/13.26 tff(11911,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB85)) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB85)) | v124(constB85, bitIndex1))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11912,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB85)) | v124(constB85, bitIndex1))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11913,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB85)) | v124(constB85, bitIndex1)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11912, 11911])).
% 19.64/13.26 tff(11914,plain,
% 19.64/13.26 (~v118(constB85)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11913, 1809, 11910])).
% 19.64/13.26 tff(11915,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB85)) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB85)) | v124(constB85, bitIndex1))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11916,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB85)) | v124(constB85, bitIndex1))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11917,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB85)) | v124(constB85, bitIndex1)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11916, 11915])).
% 19.64/13.26 tff(11918,plain,
% 19.64/13.26 (~v115(constB85)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11917, 1094, 11910])).
% 19.64/13.26 tff(11919,plain,
% 19.64/13.26 (v124(constB85, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11256, 11918, 11238, 11914, 11834])).
% 19.64/13.26 tff(11920,plain,
% 19.64/13.26 (v121(constB85, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11261, 11919])).
% 19.64/13.26 tff(11921,plain,
% 19.64/13.26 (v123(constB86, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11266, 11920])).
% 19.64/13.26 tff(11922,plain,
% 19.64/13.26 (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0))),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11273, 587, 11907])).
% 19.64/13.26 tff(11923,plain,
% 19.64/13.26 (v84(constB86, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11922, 11921])).
% 19.64/13.26 tff(11924,plain,
% 19.64/13.26 (v84(constB87, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11301, 11923])).
% 19.64/13.26 tff(11925,plain,
% 19.64/13.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11926,plain,
% 19.64/13.26 (((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0)) <=> ((~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11927,plain,
% 19.64/13.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0)))),
% 19.64/13.26 inference(monotonicity,[status(thm)],[11926])).
% 19.64/13.26 tff(11928,plain,
% 19.64/13.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0))),
% 19.64/13.26 inference(transitivity,[status(thm)],[11927, 11925])).
% 19.64/13.26 tff(11929,plain,
% 19.64/13.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11930,plain,
% 19.64/13.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB87, bitIndex0)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex0)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11929, 11928])).
% 19.64/13.26 tff(11931,plain,
% 19.64/13.26 ((~v84(constB87, bitIndex0)) | v94(constB88) | v84(constB88, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11930, 605, 11435])).
% 19.64/13.26 tff(11932,plain,
% 19.64/13.26 (v94(constB88)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11931, 11924, 11718])).
% 19.64/13.26 tff(11933,plain,
% 19.64/13.26 (~v123(constB88, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11725, 11932])).
% 19.64/13.26 tff(11934,plain,
% 19.64/13.26 (~v121(constB87, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11730, 11933])).
% 19.64/13.26 tff(11935,plain,
% 19.64/13.26 (~v124(constB87, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11735, 11934])).
% 19.64/13.26 tff(11936,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB87)) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB87)) | v124(constB87, bitIndex0))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11937,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB87)) | v124(constB87, bitIndex0))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11938,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB87)) | v124(constB87, bitIndex0)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11937, 11936])).
% 19.64/13.26 tff(11939,plain,
% 19.64/13.26 (~v113(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11938, 543, 11935])).
% 19.64/13.26 tff(11940,assumption,(~v84(constB88, bitIndex1)), introduced(assumption)).
% 19.64/13.26 tff(11941,plain,
% 19.64/13.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11942,plain,
% 19.64/13.26 ((v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1))) <=> (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11943,plain,
% 19.64/13.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88))))),
% 19.64/13.26 inference(monotonicity,[status(thm)],[11942])).
% 19.64/13.26 tff(11944,plain,
% 19.64/13.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 19.64/13.26 inference(transitivity,[status(thm)],[11943, 11941])).
% 19.64/13.26 tff(11945,plain,
% 19.64/13.26 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11946,plain,
% 19.64/13.26 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88))),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11945, 11944])).
% 19.64/13.26 tff(11947,plain,
% 19.64/13.26 ((~v123(constB88, bitIndex1)) | (~v94(constB88))),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11946, 834, 11940])).
% 19.64/13.26 tff(11948,plain,
% 19.64/13.26 (~v123(constB88, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11947, 11932])).
% 19.64/13.26 tff(11949,plain,
% 19.64/13.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11950,plain,
% 19.64/13.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11951,plain,
% 19.64/13.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11950, 11949])).
% 19.64/13.26 tff(11952,plain,
% 19.64/13.26 ((~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11951, 819, 11435])).
% 19.64/13.26 tff(11953,plain,
% 19.64/13.26 (~v121(constB87, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11952, 11948])).
% 19.64/13.26 tff(11954,plain,
% 19.64/13.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11955,plain,
% 19.64/13.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11956,plain,
% 19.64/13.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11955, 11954])).
% 19.64/13.26 tff(11957,plain,
% 19.64/13.26 ((~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11956, 804, 11420])).
% 19.64/13.26 tff(11958,plain,
% 19.64/13.26 (~v124(constB87, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11957, 11953])).
% 19.64/13.26 tff(11959,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB87)) | v124(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB87)) | v124(constB87, bitIndex1))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11960,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB87)) | v124(constB87, bitIndex1))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11961,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB87)) | v124(constB87, bitIndex1)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 19.64/13.26 tff(11962,plain,
% 19.64/13.26 (~v118(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11961, 1809, 11958])).
% 19.64/13.26 tff(11963,plain,
% 19.64/13.26 (~v172(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11739, 1631, 11935])).
% 19.64/13.26 tff(11964,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB87)) | v124(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB87)) | v124(constB87, bitIndex1))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11965,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB87)) | v124(constB87, bitIndex1))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11966,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB87)) | v124(constB87, bitIndex1)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11965, 11964])).
% 19.64/13.26 tff(11967,plain,
% 19.64/13.26 (~v145(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11966, 790, 11958])).
% 19.64/13.26 tff(11968,plain,
% 19.64/13.26 (~v84(constB87, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11350, 11835])).
% 19.64/13.26 tff(11969,plain,
% 19.64/13.26 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB87, bitIndex1) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB87, bitIndex1) | (~v116(constB87)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11970,plain,
% 19.64/13.26 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB87, bitIndex1) | (~v116(constB87)))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11971,plain,
% 19.64/13.26 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB87, bitIndex1) | (~v116(constB87))),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11970, 11969])).
% 19.64/13.26 tff(11972,plain,
% 19.64/13.26 (~v116(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11971, 9655, 11968])).
% 19.64/13.26 tff(11973,plain,
% 19.64/13.26 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB87) | v124(constB87, bitIndex0) | v118(constB87) | v115(constB87) | v113(constB87) | v172(constB87) | v116(constB87))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB87) | v124(constB87, bitIndex0) | v118(constB87) | v115(constB87) | v113(constB87) | v172(constB87) | v116(constB87))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11974,plain,
% 19.64/13.26 ((v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | v124(constB87, bitIndex0)) <=> (v145(constB87) | v124(constB87, bitIndex0) | v118(constB87) | v115(constB87) | v113(constB87) | v172(constB87) | v116(constB87))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11975,plain,
% 19.64/13.26 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB87) | v124(constB87, bitIndex0) | v118(constB87) | v115(constB87) | v113(constB87) | v172(constB87) | v116(constB87)))),
% 19.64/13.26 inference(monotonicity,[status(thm)],[11974])).
% 19.64/13.26 tff(11976,plain,
% 19.64/13.26 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB87) | v124(constB87, bitIndex0) | v118(constB87) | v115(constB87) | v113(constB87) | v172(constB87) | v116(constB87))),
% 19.64/13.26 inference(transitivity,[status(thm)],[11975, 11973])).
% 19.64/13.26 tff(11977,plain,
% 19.64/13.26 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | v124(constB87, bitIndex0))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11978,plain,
% 19.64/13.26 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB87) | v124(constB87, bitIndex0) | v118(constB87) | v115(constB87) | v113(constB87) | v172(constB87) | v116(constB87)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 19.64/13.26 tff(11979,plain,
% 19.64/13.26 (v145(constB87) | v124(constB87, bitIndex0) | v118(constB87) | v113(constB87) | v172(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11978, 2149, 11743, 11972])).
% 19.64/13.26 tff(11980,plain,
% 19.64/13.26 ($false),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11979, 11967, 11963, 11935, 11962, 11939])).
% 19.64/13.26 tff(11981,plain,(v84(constB86, bitIndex1) | v115(constB87) | v84(constB88, bitIndex1) | v84(constB88, bitIndex0) | v116(constB85)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.26 tff(11982,plain,
% 19.64/13.26 (v84(constB86, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11981, 11758, 11743, 11603, 11742])).
% 19.64/13.26 tff(11983,plain,
% 19.64/13.26 (v84(constB87, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11817, 11982])).
% 19.64/13.26 tff(11984,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB87)) | (~v84(constB87, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB87)) | (~v84(constB87, bitIndex1)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11985,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB87)) | (~v84(constB87, bitIndex1)))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11986,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB87)) | (~v84(constB87, bitIndex1))),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11985, 11984])).
% 19.64/13.26 tff(11987,plain,
% 19.64/13.26 (~v113(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11986, 1990, 11983])).
% 19.64/13.26 tff(11988,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v118(constB87)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11989,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v118(constB87)))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11990,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v118(constB87))),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 19.64/13.26 tff(11991,plain,
% 19.64/13.26 (~v118(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11990, 2001, 11983])).
% 19.64/13.26 tff(11992,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v172(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v172(constB87)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11993,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v172(constB87)))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(11994,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v172(constB87))),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 19.64/13.26 tff(11995,plain,
% 19.64/13.26 (~v172(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11994, 2023, 11983])).
% 19.64/13.26 tff(11996,plain,
% 19.64/13.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex1))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11997,plain,
% 19.64/13.26 (((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex1)) | v94(constB88) | v84(constB88, bitIndex1)) <=> ((~v84(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex1))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(11998,plain,
% 19.64/13.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex1)) | v94(constB88) | v84(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex1)))),
% 19.64/13.26 inference(monotonicity,[status(thm)],[11997])).
% 19.64/13.26 tff(11999,plain,
% 19.64/13.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex1)) | v94(constB88) | v84(constB88, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex1))),
% 19.64/13.26 inference(transitivity,[status(thm)],[11998, 11996])).
% 19.64/13.26 tff(12000,plain,
% 19.64/13.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v84(constB87, bitIndex1)) | v94(constB88) | v84(constB88, bitIndex1))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(12001,plain,
% 19.64/13.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB87, bitIndex1)) | (~nextState(constB87, constB88)) | v94(constB88) | v84(constB88, bitIndex1)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 19.64/13.26 tff(12002,plain,
% 19.64/13.26 ((~v84(constB87, bitIndex1)) | v94(constB88) | v84(constB88, bitIndex1)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[12001, 852, 11435])).
% 19.64/13.26 tff(12003,plain,
% 19.64/13.26 (v94(constB88)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[12002, 11983, 11758])).
% 19.64/13.26 tff(12004,plain,
% 19.64/13.26 ((~v123(constB88, bitIndex0)) | (~v94(constB88))),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11724, 587, 11603])).
% 19.64/13.26 tff(12005,plain,
% 19.64/13.26 (~v123(constB88, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[12004, 12003])).
% 19.64/13.26 tff(12006,plain,
% 19.64/13.26 (~v121(constB87, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11730, 12005])).
% 19.64/13.26 tff(12007,plain,
% 19.64/13.26 (~v124(constB87, bitIndex0)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11735, 12006])).
% 19.64/13.26 tff(12008,plain,
% 19.64/13.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v145(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v145(constB87)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(12009,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v145(constB87)))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(12010,plain,
% 19.64/13.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v145(constB87))),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[12009, 12008])).
% 19.64/13.26 tff(12011,plain,
% 19.64/13.26 (~v145(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[12010, 2012, 11983])).
% 19.64/13.26 tff(12012,plain,
% 19.64/13.26 (v116(constB87)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[11978, 2149, 12011, 12007, 11743, 11995, 11991, 11987])).
% 19.64/13.26 tff(12013,plain,
% 19.64/13.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)) | (~v94(constB88)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)) | (~v94(constB88)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(12014,plain,
% 19.64/13.26 ((v84(constB88, bitIndex2) | (~v94(constB88)) | (~v123(constB88, bitIndex2))) <=> (v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)) | (~v94(constB88)))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(12015,plain,
% 19.64/13.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~v94(constB88)) | (~v123(constB88, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)) | (~v94(constB88))))),
% 19.64/13.26 inference(monotonicity,[status(thm)],[12014])).
% 19.64/13.26 tff(12016,plain,
% 19.64/13.26 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~v94(constB88)) | (~v123(constB88, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)) | (~v94(constB88)))),
% 19.64/13.26 inference(transitivity,[status(thm)],[12015, 12013])).
% 19.64/13.26 tff(12017,plain,
% 19.64/13.26 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~v94(constB88)) | (~v123(constB88, bitIndex2)))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(12018,plain,
% 19.64/13.26 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)) | (~v94(constB88))),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[12017, 12016])).
% 19.64/13.26 tff(12019,plain,
% 19.64/13.26 ((~v123(constB88, bitIndex2)) | (~v94(constB88))),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[12018, 1303, 11613])).
% 19.64/13.26 tff(12020,plain,
% 19.64/13.26 (~v123(constB88, bitIndex2)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[12019, 12003])).
% 19.64/13.26 tff(12021,plain,
% 19.64/13.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex2)) | v123(constB88, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex2)) | v123(constB88, bitIndex2))),
% 19.64/13.26 inference(rewrite,[status(thm)],[])).
% 19.64/13.26 tff(12022,plain,
% 19.64/13.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex2)) | v123(constB88, bitIndex2))),
% 19.64/13.26 inference(quant_inst,[status(thm)],[])).
% 19.64/13.26 tff(12023,plain,
% 19.64/13.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex2)) | v123(constB88, bitIndex2)),
% 19.64/13.26 inference(modus_ponens,[status(thm)],[12022, 12021])).
% 19.64/13.26 tff(12024,plain,
% 19.64/13.26 ((~v121(constB87, bitIndex2)) | v123(constB88, bitIndex2)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[12023, 1288, 11435])).
% 19.64/13.26 tff(12025,plain,
% 19.64/13.26 (~v121(constB87, bitIndex2)),
% 19.64/13.26 inference(unit_resolution,[status(thm)],[12024, 12020])).
% 19.64/13.27 tff(12026,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB87) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB87) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12027,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB87) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12028,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB87) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12027, 12026])).
% 19.64/13.27 tff(12029,plain,
% 19.64/13.27 ((~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12028, 1273, 11420])).
% 19.64/13.27 tff(12030,plain,
% 19.64/13.27 (~v124(constB87, bitIndex2)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12029, 12025])).
% 19.64/13.27 tff(12031,plain,
% 19.64/13.27 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB87)) | v124(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB87)) | v124(constB87, bitIndex2))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12032,plain,
% 19.64/13.27 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB87)) | v124(constB87, bitIndex2))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12033,plain,
% 19.64/13.27 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB87)) | v124(constB87, bitIndex2)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 19.64/13.27 tff(12034,plain,
% 19.64/13.27 ($false),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12033, 1259, 12030, 12012])).
% 19.64/13.27 tff(12035,plain,(v84(constB89, bitIndex2) | v115(constB87) | v84(constB89, bitIndex0) | v115(constB89)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.27 tff(12036,plain,
% 19.64/13.27 (v115(constB89)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12035, 11593, 11559, 11306])).
% 19.64/13.27 tff(12037,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB89) | (~v115(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12038,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB89) | (~v115(constB89)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12039,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB89) | (~v115(constB89))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12038, 12037])).
% 19.64/13.27 tff(12040,plain,
% 19.64/13.27 (v111(constB89)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12039, 956, 12036])).
% 19.64/13.27 tff(12041,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB89) | (~v111(constB89)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB89) | (~v111(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12042,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB89) | (~v111(constB89)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12043,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB89) | (~v111(constB89))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12042, 12041])).
% 19.64/13.27 tff(12044,plain,
% 19.64/13.27 (v110(constB89)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12043, 217, 12040])).
% 19.64/13.27 tff(12045,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB89) | (~v110(constB89)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB89) | (~v110(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12046,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB89) | (~v110(constB89)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12047,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB89) | (~v110(constB89))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12046, 12045])).
% 19.64/13.27 tff(12048,plain,
% 19.64/13.27 (v109(constB89)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12047, 228, 12044])).
% 19.64/13.27 tff(12049,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB89) | (~v109(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB89) | (~v109(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12050,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB89) | (~v109(constB89)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12051,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB89) | (~v109(constB89))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12050, 12049])).
% 19.64/13.27 tff(12052,plain,
% 19.64/13.27 (v108(constB89)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12051, 239, 12048])).
% 19.64/13.27 tff(12053,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB89) | (~v108(constB89)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB89) | (~v108(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12054,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB89) | (~v108(constB89)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12055,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB89) | (~v108(constB89))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12054, 12053])).
% 19.64/13.27 tff(12056,plain,
% 19.64/13.27 (v107(constB89)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12055, 250, 12052])).
% 19.64/13.27 tff(12057,assumption,(v26(constB89)), introduced(assumption)).
% 19.64/13.27 tff(12058,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12059,plain,
% 19.64/13.27 ($false),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12058, 18, 12057])).
% 19.64/13.27 tff(12060,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.27 tff(12061,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | v106(constB89) | (~v107(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12062,plain,
% 19.64/13.27 ((v26(constB89) | (~v107(constB89)) | v106(constB89)) <=> (v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12063,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | v106(constB89) | (~v107(constB89))))),
% 19.64/13.27 inference(monotonicity,[status(thm)],[12062])).
% 19.64/13.27 tff(12064,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 19.64/13.27 inference(transitivity,[status(thm)],[12063, 12061])).
% 19.64/13.27 tff(12065,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12066,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12065, 12064])).
% 19.64/13.27 tff(12067,plain,
% 19.64/13.27 (v106(constB89) | (~v107(constB89))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12066, 264, 12060])).
% 19.64/13.27 tff(12068,plain,
% 19.64/13.27 (v106(constB89)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12067, 12056])).
% 19.64/13.27 tff(12069,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB89) | (~v106(constB89)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB89) | (~v106(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12070,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB89) | (~v106(constB89)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12071,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB89) | (~v106(constB89))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12070, 12069])).
% 19.64/13.27 tff(12072,plain,
% 19.64/13.27 (v102(constB89)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12071, 276, 12068])).
% 19.64/13.27 tff(12073,plain,
% 19.64/13.27 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12074,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 19.64/13.27 tff(12075,plain,
% 19.64/13.27 (nextState(constB89, constB90)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 19.64/13.27 tff(12076,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12077,plain,
% 19.64/13.27 (((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12078,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))))),
% 19.64/13.27 inference(monotonicity,[status(thm)],[12077])).
% 19.64/13.27 tff(12079,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 19.64/13.27 inference(transitivity,[status(thm)],[12078, 12076])).
% 19.64/13.27 tff(12080,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12081,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12080, 12079])).
% 19.64/13.27 tff(12082,plain,
% 19.64/13.27 (v104(constB90) | (~v102(constB89))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12081, 293, 12075])).
% 19.64/13.27 tff(12083,plain,
% 19.64/13.27 (v104(constB90)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12082, 12072])).
% 19.64/13.27 tff(12084,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12085,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12086,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12085, 12084])).
% 19.64/13.27 tff(12087,plain,
% 19.64/13.27 (~v98(constB90)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12086, 311, 12075, 11535])).
% 19.64/13.27 tff(12088,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12089,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12090,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12089, 12088])).
% 19.64/13.27 tff(12091,plain,
% 19.64/13.27 (v96(constB90) | v98(constB90)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12090, 325, 12075])).
% 19.64/13.27 tff(12092,plain,
% 19.64/13.27 (v96(constB90)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12091, 12087])).
% 19.64/13.27 tff(12093,plain,
% 19.64/13.27 (v1(constB90) <=> v1(constB90)),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12094,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 19.64/13.27 tff(12095,plain,
% 19.64/13.27 (v1(constB90)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12094, 12093])).
% 19.64/13.27 tff(12096,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12097,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12098,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12097, 12096])).
% 19.64/13.27 tff(12099,plain,
% 19.64/13.27 (v95(constB90) | (~v96(constB90))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12098, 343, 12075, 12095])).
% 19.64/13.27 tff(12100,plain,
% 19.64/13.27 (v95(constB90)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12099, 12092])).
% 19.64/13.27 tff(12101,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12102,plain,
% 19.64/13.27 (((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90)) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12103,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90))))),
% 19.64/13.27 inference(monotonicity,[status(thm)],[12102])).
% 19.64/13.27 tff(12104,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 19.64/13.27 inference(transitivity,[status(thm)],[12103, 12101])).
% 19.64/13.27 tff(12105,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12106,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12105, 12104])).
% 19.64/13.27 tff(12107,plain,
% 19.64/13.27 (v94(constB90) | (~v95(constB90)) | (~v104(constB90))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12106, 358, 12075])).
% 19.64/13.27 tff(12108,plain,
% 19.64/13.27 (v94(constB90) | (~v104(constB90))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12107, 12100])).
% 19.64/13.27 tff(12109,plain,
% 19.64/13.27 (v94(constB90)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12108, 12083])).
% 19.64/13.27 tff(12110,plain,
% 19.64/13.27 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB89)) | (~v124(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12111,plain,
% 19.64/13.27 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12112,plain,
% 19.64/13.27 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB89)) | (~v124(constB89, bitIndex2))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 19.64/13.27 tff(12113,plain,
% 19.64/13.27 (~v124(constB89, bitIndex2)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12112, 1032, 12036])).
% 19.64/13.27 tff(12114,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12115,plain,
% 19.64/13.27 ((v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2))) <=> ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12116,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2)))),
% 19.64/13.27 inference(monotonicity,[status(thm)],[12115])).
% 19.64/13.27 tff(12117,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 19.64/13.27 inference(transitivity,[status(thm)],[12116, 12114])).
% 19.64/13.27 tff(12118,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12119,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12118, 12117])).
% 19.64/13.27 tff(12120,plain,
% 19.64/13.27 ((~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12119, 391, 12060])).
% 19.64/13.27 tff(12121,plain,
% 19.64/13.27 (~v121(constB89, bitIndex2)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12120, 12113])).
% 19.64/13.27 tff(12122,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12123,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12124,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12123, 12122])).
% 19.64/13.27 tff(12125,plain,
% 19.64/13.27 (v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12124, 409, 12075])).
% 19.64/13.27 tff(12126,plain,
% 19.64/13.27 (~v123(constB90, bitIndex2)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12125, 12121])).
% 19.64/13.27 tff(12127,plain,
% 19.64/13.27 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12128,plain,
% 19.64/13.27 (((~v84(constB90, bitIndex2)) | (~v94(constB90)) | v123(constB90, bitIndex2)) <=> ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12129,plain,
% 19.64/13.27 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | (~v94(constB90)) | v123(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90))))),
% 19.64/13.27 inference(monotonicity,[status(thm)],[12128])).
% 19.64/13.27 tff(12130,plain,
% 19.64/13.27 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | (~v94(constB90)) | v123(constB90, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 19.64/13.27 inference(transitivity,[status(thm)],[12129, 12127])).
% 19.64/13.27 tff(12131,plain,
% 19.64/13.27 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB90, bitIndex2)) | (~v94(constB90)) | v123(constB90, bitIndex2))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12132,plain,
% 19.64/13.27 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12131, 12130])).
% 19.64/13.27 tff(12133,plain,
% 19.64/13.27 ((~v84(constB90, bitIndex2)) | (~v94(constB90))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12132, 424, 12126])).
% 19.64/13.27 tff(12134,plain,
% 19.64/13.27 (~v84(constB90, bitIndex2)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12133, 12109])).
% 19.64/13.27 tff(12135,plain,
% 19.64/13.27 ((~v1(constB91)) <=> (~v1(constB91))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12136,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 19.64/13.27 tff(12137,plain,
% 19.64/13.27 (~v1(constB91)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12136, 12135])).
% 19.64/13.27 tff(12138,plain,
% 19.64/13.27 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12139,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 19.64/13.27 tff(12140,plain,
% 19.64/13.27 (nextState(constB90, constB91)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 19.64/13.27 tff(12141,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12142,plain,
% 19.64/13.27 (((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12143,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))))),
% 19.64/13.27 inference(monotonicity,[status(thm)],[12142])).
% 19.64/13.27 tff(12144,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 19.64/13.27 inference(transitivity,[status(thm)],[12143, 12141])).
% 19.64/13.27 tff(12145,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12146,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12145, 12144])).
% 19.64/13.27 tff(12147,plain,
% 19.64/13.27 (~v95(constB91)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12146, 89, 12140, 12137])).
% 19.64/13.27 tff(12148,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12149,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12150,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12149, 12148])).
% 19.64/13.27 tff(12151,plain,
% 19.64/13.27 (v95(constB91) | (~v94(constB91))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12150, 106, 12140])).
% 19.64/13.27 tff(12152,plain,
% 19.64/13.27 (~v94(constB91)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12151, 12147])).
% 19.64/13.27 tff(12153,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12154,plain,
% 19.64/13.27 (((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2))) <=> (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12155,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2))))),
% 19.64/13.27 inference(monotonicity,[status(thm)],[12154])).
% 19.64/13.27 tff(12156,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 19.64/13.27 inference(transitivity,[status(thm)],[12155, 12153])).
% 19.64/13.27 tff(12157,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12158,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12157, 12156])).
% 19.64/13.27 tff(12159,plain,
% 19.64/13.27 (v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12158, 121, 12140])).
% 19.64/13.27 tff(12160,plain,
% 19.64/13.27 (v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12159, 12152])).
% 19.64/13.27 tff(12161,plain,
% 19.64/13.27 (~v84(constB91, bitIndex2)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12160, 12134])).
% 19.64/13.27 tff(12162,plain,
% 19.64/13.27 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB89)) | v124(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB89)) | v124(constB89, bitIndex1))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12163,plain,
% 19.64/13.27 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB89)) | v124(constB89, bitIndex1))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12164,plain,
% 19.64/13.27 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB89)) | v124(constB89, bitIndex1)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 19.64/13.27 tff(12165,plain,
% 19.64/13.27 (v124(constB89, bitIndex1)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12164, 1094, 12036])).
% 19.64/13.27 tff(12166,plain,
% 19.64/13.27 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12167,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12168,plain,
% 19.64/13.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12167, 12166])).
% 19.64/13.27 tff(12169,plain,
% 19.64/13.27 ((~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12168, 804, 12060])).
% 19.64/13.27 tff(12170,plain,
% 19.64/13.27 (v121(constB89, bitIndex1)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12169, 12165])).
% 19.64/13.27 tff(12171,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12172,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12173,plain,
% 19.64/13.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1)),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 19.64/13.27 tff(12174,plain,
% 19.64/13.27 ((~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12173, 819, 12075])).
% 19.64/13.27 tff(12175,plain,
% 19.64/13.27 (v123(constB90, bitIndex1)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12174, 12170])).
% 19.64/13.27 tff(12176,plain,
% 19.64/13.27 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12177,plain,
% 19.64/13.27 ((v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1))) <=> (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 19.64/13.27 inference(rewrite,[status(thm)],[])).
% 19.64/13.27 tff(12178,plain,
% 19.64/13.27 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90))))),
% 19.64/13.27 inference(monotonicity,[status(thm)],[12177])).
% 19.64/13.27 tff(12179,plain,
% 19.64/13.27 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 19.64/13.27 inference(transitivity,[status(thm)],[12178, 12176])).
% 19.64/13.27 tff(12180,plain,
% 19.64/13.27 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))),
% 19.64/13.27 inference(quant_inst,[status(thm)],[])).
% 19.64/13.27 tff(12181,plain,
% 19.64/13.27 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90))),
% 19.64/13.27 inference(modus_ponens,[status(thm)],[12180, 12179])).
% 19.64/13.27 tff(12182,plain,
% 19.64/13.27 (v84(constB90, bitIndex1) | (~v94(constB90))),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12181, 834, 12175])).
% 19.64/13.27 tff(12183,plain,
% 19.64/13.27 (v84(constB90, bitIndex1)),
% 19.64/13.27 inference(unit_resolution,[status(thm)],[12182, 12109])).
% 19.64/13.27 tff(12184,plain,
% 19.64/13.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12185,plain,
% 19.64/13.28 (((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1)) <=> ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12186,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1)))),
% 19.64/13.28 inference(monotonicity,[status(thm)],[12185])).
% 19.64/13.28 tff(12187,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 19.64/13.28 inference(transitivity,[status(thm)],[12186, 12184])).
% 19.64/13.28 tff(12188,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12189,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12188, 12187])).
% 19.64/13.28 tff(12190,plain,
% 19.64/13.28 ((~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12189, 852, 12140])).
% 19.64/13.28 tff(12191,plain,
% 19.64/13.28 ((~v84(constB90, bitIndex1)) | v84(constB91, bitIndex1)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12190, 12152])).
% 19.64/13.28 tff(12192,plain,
% 19.64/13.28 (v84(constB91, bitIndex1)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12191, 12183])).
% 19.64/13.28 tff(12193,plain,
% 19.64/13.28 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB89)) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB89)) | v124(constB89, bitIndex0))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12194,plain,
% 19.64/13.28 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB89)) | v124(constB89, bitIndex0))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12195,plain,
% 19.64/13.28 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB89)) | v124(constB89, bitIndex0)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 19.64/13.28 tff(12196,plain,
% 19.64/13.28 (v124(constB89, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12195, 1135, 12036])).
% 19.64/13.28 tff(12197,plain,
% 19.64/13.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12198,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12199,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12198, 12197])).
% 19.64/13.28 tff(12200,plain,
% 19.64/13.28 ((~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12199, 557, 12060])).
% 19.64/13.28 tff(12201,plain,
% 19.64/13.28 (v121(constB89, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12200, 12196])).
% 19.64/13.28 tff(12202,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12203,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12204,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12203, 12202])).
% 19.64/13.28 tff(12205,plain,
% 19.64/13.28 ((~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12204, 572, 12075])).
% 19.64/13.28 tff(12206,plain,
% 19.64/13.28 (v123(constB90, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12205, 12201])).
% 19.64/13.28 tff(12207,plain,
% 19.64/13.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12208,plain,
% 19.64/13.28 ((v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0))) <=> (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12209,plain,
% 19.64/13.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90))))),
% 19.64/13.28 inference(monotonicity,[status(thm)],[12208])).
% 19.64/13.28 tff(12210,plain,
% 19.64/13.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 19.64/13.28 inference(transitivity,[status(thm)],[12209, 12207])).
% 19.64/13.28 tff(12211,plain,
% 19.64/13.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12212,plain,
% 19.64/13.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12211, 12210])).
% 19.64/13.28 tff(12213,plain,
% 19.64/13.28 (v84(constB90, bitIndex0) | (~v94(constB90))),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12212, 587, 12206])).
% 19.64/13.28 tff(12214,plain,
% 19.64/13.28 (v84(constB90, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12213, 12109])).
% 19.64/13.28 tff(12215,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12216,plain,
% 19.64/13.28 (((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0)) <=> ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12217,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0)))),
% 19.64/13.28 inference(monotonicity,[status(thm)],[12216])).
% 19.64/13.28 tff(12218,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 19.64/13.28 inference(transitivity,[status(thm)],[12217, 12215])).
% 19.64/13.28 tff(12219,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12220,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12219, 12218])).
% 19.64/13.28 tff(12221,plain,
% 19.64/13.28 ((~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12220, 605, 12140])).
% 19.64/13.28 tff(12222,plain,
% 19.64/13.28 ((~v84(constB90, bitIndex0)) | v84(constB91, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12221, 12152])).
% 19.64/13.28 tff(12223,plain,
% 19.64/13.28 (v84(constB91, bitIndex0)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12222, 12214])).
% 19.64/13.28 tff(12224,plain,
% 19.64/13.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12225,plain,
% 19.64/13.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12226,plain,
% 19.64/13.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12225, 12224])).
% 19.64/13.28 tff(12227,plain,
% 19.64/13.28 (v116(constB91)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12226, 1176, 12223, 12192, 12161])).
% 19.64/13.28 tff(12228,plain,
% 19.64/13.28 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB91) | (~v116(constB91)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12229,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB91) | (~v116(constB91)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12230,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB91) | (~v116(constB91))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12229, 12228])).
% 19.64/13.28 tff(12231,plain,
% 19.64/13.28 (v110(constB91)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12230, 1187, 12227])).
% 19.64/13.28 tff(12232,plain,
% 19.64/13.28 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB91) | (~v110(constB91)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB91) | (~v110(constB91)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12233,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB91) | (~v110(constB91)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12234,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB91) | (~v110(constB91))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12233, 12232])).
% 19.64/13.28 tff(12235,plain,
% 19.64/13.28 (v109(constB91)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12234, 228, 12231])).
% 19.64/13.28 tff(12236,plain,
% 19.64/13.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB91) | (~v109(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB91) | (~v109(constB91)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12237,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB91) | (~v109(constB91)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12238,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB91) | (~v109(constB91))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12237, 12236])).
% 19.64/13.28 tff(12239,plain,
% 19.64/13.28 (v108(constB91)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12238, 239, 12235])).
% 19.64/13.28 tff(12240,plain,
% 19.64/13.28 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB91) | (~v108(constB91)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB91) | (~v108(constB91)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12241,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB91) | (~v108(constB91)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12242,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB91) | (~v108(constB91))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12241, 12240])).
% 19.64/13.28 tff(12243,plain,
% 19.64/13.28 (v107(constB91)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12242, 250, 12239])).
% 19.64/13.28 tff(12244,assumption,(v26(constB91)), introduced(assumption)).
% 19.64/13.28 tff(12245,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12246,plain,
% 19.64/13.28 ($false),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12245, 18, 12244])).
% 19.64/13.28 tff(12247,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.28 tff(12248,plain,
% 19.64/13.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12249,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12250,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 19.64/13.28 tff(12251,plain,
% 19.64/13.28 ((~v107(constB91)) | v106(constB91)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12250, 264, 12247])).
% 19.64/13.28 tff(12252,plain,
% 19.64/13.28 (v106(constB91)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12251, 12243])).
% 19.64/13.28 tff(12253,plain,
% 19.64/13.28 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB91) | (~v106(constB91)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB91) | (~v106(constB91)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12254,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB91) | (~v106(constB91)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12255,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB91) | (~v106(constB91))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12254, 12253])).
% 19.64/13.28 tff(12256,plain,
% 19.64/13.28 (v102(constB91)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12255, 276, 12252])).
% 19.64/13.28 tff(12257,plain,
% 19.64/13.28 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12258,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 19.64/13.28 tff(12259,plain,
% 19.64/13.28 (nextState(constB91, constB92)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12258, 12257])).
% 19.64/13.28 tff(12260,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12261,plain,
% 19.64/13.28 (((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12262,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))))),
% 19.64/13.28 inference(monotonicity,[status(thm)],[12261])).
% 19.64/13.28 tff(12263,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 19.64/13.28 inference(transitivity,[status(thm)],[12262, 12260])).
% 19.64/13.28 tff(12264,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12265,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12264, 12263])).
% 19.64/13.28 tff(12266,plain,
% 19.64/13.28 (v104(constB92) | (~v102(constB91))),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12265, 293, 12259])).
% 19.64/13.28 tff(12267,plain,
% 19.64/13.28 (v104(constB92)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12266, 12256])).
% 19.64/13.28 tff(12268,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12269,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12270,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12269, 12268])).
% 19.64/13.28 tff(12271,plain,
% 19.64/13.28 (~v98(constB92)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12270, 311, 12259, 12137])).
% 19.64/13.28 tff(12272,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12273,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12274,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12273, 12272])).
% 19.64/13.28 tff(12275,plain,
% 19.64/13.28 (v96(constB92) | v98(constB92)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12274, 325, 12259])).
% 19.64/13.28 tff(12276,plain,
% 19.64/13.28 (v96(constB92)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12275, 12271])).
% 19.64/13.28 tff(12277,plain,
% 19.64/13.28 (v1(constB92) <=> v1(constB92)),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12278,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 19.64/13.28 tff(12279,plain,
% 19.64/13.28 (v1(constB92)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12278, 12277])).
% 19.64/13.28 tff(12280,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12281,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12282,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12281, 12280])).
% 19.64/13.28 tff(12283,plain,
% 19.64/13.28 (v95(constB92) | (~v96(constB92))),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12282, 343, 12259, 12279])).
% 19.64/13.28 tff(12284,plain,
% 19.64/13.28 (v95(constB92)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12283, 12276])).
% 19.64/13.28 tff(12285,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12286,plain,
% 19.64/13.28 (((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92)) <=> ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12287,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92))))),
% 19.64/13.28 inference(monotonicity,[status(thm)],[12286])).
% 19.64/13.28 tff(12288,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 19.64/13.28 inference(transitivity,[status(thm)],[12287, 12285])).
% 19.64/13.28 tff(12289,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12290,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12289, 12288])).
% 19.64/13.28 tff(12291,plain,
% 19.64/13.28 (v94(constB92) | (~v95(constB92)) | (~v104(constB92))),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12290, 358, 12259])).
% 19.64/13.28 tff(12292,plain,
% 19.64/13.28 (v94(constB92) | (~v104(constB92))),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12291, 12284])).
% 19.64/13.28 tff(12293,plain,
% 19.64/13.28 (v94(constB92)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12292, 12267])).
% 19.64/13.28 tff(12294,plain,
% 19.64/13.28 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB91)) | v124(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB91)) | v124(constB91, bitIndex2))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12295,plain,
% 19.64/13.28 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB91)) | v124(constB91, bitIndex2))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12296,plain,
% 19.64/13.28 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB91)) | v124(constB91, bitIndex2)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12295, 12294])).
% 19.64/13.28 tff(12297,plain,
% 19.64/13.28 (v124(constB91, bitIndex2)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12296, 1259, 12227])).
% 19.64/13.28 tff(12298,plain,
% 19.64/13.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12299,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12300,plain,
% 19.64/13.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12299, 12298])).
% 19.64/13.28 tff(12301,plain,
% 19.64/13.28 ((~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12300, 1273, 12247])).
% 19.64/13.28 tff(12302,plain,
% 19.64/13.28 (v121(constB91, bitIndex2)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12301, 12297])).
% 19.64/13.28 tff(12303,plain,
% 19.64/13.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12304,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12305,plain,
% 19.64/13.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12304, 12303])).
% 19.64/13.28 tff(12306,plain,
% 19.64/13.28 ((~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12305, 1288, 12259])).
% 19.64/13.28 tff(12307,plain,
% 19.64/13.28 (v123(constB92, bitIndex2)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12306, 12302])).
% 19.64/13.28 tff(12308,plain,
% 19.64/13.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12309,plain,
% 19.64/13.28 ((v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2))) <=> (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12310,plain,
% 19.64/13.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92))))),
% 19.64/13.28 inference(monotonicity,[status(thm)],[12309])).
% 19.64/13.28 tff(12311,plain,
% 19.64/13.28 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 19.64/13.28 inference(transitivity,[status(thm)],[12310, 12308])).
% 19.64/13.28 tff(12312,plain,
% 19.64/13.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))),
% 19.64/13.28 inference(quant_inst,[status(thm)],[])).
% 19.64/13.28 tff(12313,plain,
% 19.64/13.28 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92))),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12312, 12311])).
% 19.64/13.28 tff(12314,plain,
% 19.64/13.28 (v84(constB92, bitIndex2) | (~v94(constB92))),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12313, 1303, 12307])).
% 19.64/13.28 tff(12315,plain,
% 19.64/13.28 (v84(constB92, bitIndex2)),
% 19.64/13.28 inference(unit_resolution,[status(thm)],[12314, 12293])).
% 19.64/13.28 tff(12316,plain,
% 19.64/13.28 ((~v1(constB93)) <=> (~v1(constB93))),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12317,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 19.64/13.28 tff(12318,plain,
% 19.64/13.28 (~v1(constB93)),
% 19.64/13.28 inference(modus_ponens,[status(thm)],[12317, 12316])).
% 19.64/13.28 tff(12319,plain,
% 19.64/13.28 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 19.64/13.28 inference(rewrite,[status(thm)],[])).
% 19.64/13.28 tff(12320,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 19.64/13.29 tff(12321,plain,
% 19.64/13.29 (nextState(constB92, constB93)),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12320, 12319])).
% 19.64/13.29 tff(12322,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12323,plain,
% 19.64/13.29 (((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12324,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12323])).
% 19.64/13.29 tff(12325,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12324, 12322])).
% 19.64/13.29 tff(12326,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12327,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 19.64/13.29 tff(12328,plain,
% 19.64/13.29 (~v95(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12327, 89, 12321, 12318])).
% 19.64/13.29 tff(12329,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12330,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12331,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 19.64/13.29 tff(12332,plain,
% 19.64/13.29 (v95(constB93) | (~v94(constB93))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12331, 106, 12321])).
% 19.64/13.29 tff(12333,plain,
% 19.64/13.29 (~v94(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12332, 12328])).
% 19.64/13.29 tff(12334,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12335,plain,
% 19.64/13.29 (((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2)) <=> ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12336,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2)))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12335])).
% 19.64/13.29 tff(12337,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12336, 12334])).
% 19.64/13.29 tff(12338,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12339,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2)),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12338, 12337])).
% 19.64/13.29 tff(12340,plain,
% 19.64/13.29 ((~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12339, 1339, 12321])).
% 19.64/13.29 tff(12341,plain,
% 19.64/13.29 ((~v84(constB92, bitIndex2)) | v84(constB93, bitIndex2)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12340, 12333])).
% 19.64/13.29 tff(12342,plain,
% 19.64/13.29 (v84(constB93, bitIndex2)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12341, 12315])).
% 19.64/13.29 tff(12343,plain,
% 19.64/13.29 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB91)) | (~v124(constB91, bitIndex1)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12344,plain,
% 19.64/13.29 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex1)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12345,plain,
% 19.64/13.29 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB91)) | (~v124(constB91, bitIndex1))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12344, 12343])).
% 19.64/13.29 tff(12346,plain,
% 19.64/13.29 (~v124(constB91, bitIndex1)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12345, 1358, 12227])).
% 19.64/13.29 tff(12347,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12348,plain,
% 19.64/13.29 ((v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1))) <=> ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12349,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1)))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12348])).
% 19.64/13.29 tff(12350,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12349, 12347])).
% 19.64/13.29 tff(12351,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12352,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1)),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12351, 12350])).
% 19.64/13.29 tff(12353,plain,
% 19.64/13.29 ((~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12352, 483, 12247])).
% 19.64/13.29 tff(12354,plain,
% 19.64/13.29 (~v121(constB91, bitIndex1)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12353, 12346])).
% 19.64/13.29 tff(12355,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12356,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12357,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 19.64/13.29 tff(12358,plain,
% 19.64/13.29 (v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12357, 501, 12259])).
% 19.64/13.29 tff(12359,plain,
% 19.64/13.29 (~v123(constB92, bitIndex1)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12358, 12354])).
% 19.64/13.29 tff(12360,plain,
% 19.64/13.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12361,plain,
% 19.64/13.29 (((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1)) <=> ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12362,plain,
% 19.64/13.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92))))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12361])).
% 19.64/13.29 tff(12363,plain,
% 19.64/13.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12362, 12360])).
% 19.64/13.29 tff(12364,plain,
% 19.64/13.29 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12365,plain,
% 19.64/13.29 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 19.64/13.29 tff(12366,plain,
% 19.64/13.29 ((~v84(constB92, bitIndex1)) | (~v94(constB92))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12365, 516, 12359])).
% 19.64/13.29 tff(12367,plain,
% 19.64/13.29 (~v84(constB92, bitIndex1)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12366, 12293])).
% 19.64/13.29 tff(12368,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12369,plain,
% 19.64/13.29 (((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1))) <=> (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12370,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1))))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12369])).
% 19.64/13.29 tff(12371,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12370, 12368])).
% 19.64/13.29 tff(12372,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12373,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12372, 12371])).
% 19.64/13.29 tff(12374,plain,
% 19.64/13.29 (v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12373, 142, 12321])).
% 19.64/13.29 tff(12375,plain,
% 19.64/13.29 (v84(constB92, bitIndex1) | (~v84(constB93, bitIndex1))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12374, 12333])).
% 19.64/13.29 tff(12376,plain,
% 19.64/13.29 (~v84(constB93, bitIndex1)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12375, 12367])).
% 19.64/13.29 tff(12377,plain,
% 19.64/13.29 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB91)) | (~v124(constB91, bitIndex0)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12378,plain,
% 19.64/13.29 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex0)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12379,plain,
% 19.64/13.29 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB91)) | (~v124(constB91, bitIndex0))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12378, 12377])).
% 19.64/13.29 tff(12380,plain,
% 19.64/13.29 (~v124(constB91, bitIndex0)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12379, 1402, 12227])).
% 19.64/13.29 tff(12381,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12382,plain,
% 19.64/13.29 ((v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0))) <=> ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12383,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0)))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12382])).
% 19.64/13.29 tff(12384,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12383, 12381])).
% 19.64/13.29 tff(12385,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12386,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0)),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12385, 12384])).
% 19.64/13.29 tff(12387,plain,
% 19.64/13.29 ((~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12386, 885, 12247])).
% 19.64/13.29 tff(12388,plain,
% 19.64/13.29 (~v121(constB91, bitIndex0)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12387, 12380])).
% 19.64/13.29 tff(12389,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12390,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12391,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12390, 12389])).
% 19.64/13.29 tff(12392,plain,
% 19.64/13.29 (v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12391, 903, 12259])).
% 19.64/13.29 tff(12393,plain,
% 19.64/13.29 (~v123(constB92, bitIndex0)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12392, 12388])).
% 19.64/13.29 tff(12394,plain,
% 19.64/13.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12395,plain,
% 19.64/13.29 (((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0)) <=> ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12396,plain,
% 19.64/13.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92))))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12395])).
% 19.64/13.29 tff(12397,plain,
% 19.64/13.29 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12396, 12394])).
% 19.64/13.29 tff(12398,plain,
% 19.64/13.29 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12399,plain,
% 19.64/13.29 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 19.64/13.29 tff(12400,plain,
% 19.64/13.29 ((~v84(constB92, bitIndex0)) | (~v94(constB92))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12399, 918, 12393])).
% 19.64/13.29 tff(12401,plain,
% 19.64/13.29 (~v84(constB92, bitIndex0)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12400, 12293])).
% 19.64/13.29 tff(12402,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12403,plain,
% 19.64/13.29 (((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0))) <=> (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12404,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0))))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12403])).
% 19.64/13.29 tff(12405,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12404, 12402])).
% 19.64/13.29 tff(12406,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12407,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 19.64/13.29 tff(12408,plain,
% 19.64/13.29 (v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12407, 163, 12321])).
% 19.64/13.29 tff(12409,plain,
% 19.64/13.29 (v84(constB92, bitIndex0) | (~v84(constB93, bitIndex0))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12408, 12333])).
% 19.64/13.29 tff(12410,plain,
% 19.64/13.29 (~v84(constB93, bitIndex0)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12409, 12401])).
% 19.64/13.29 tff(12411,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12412,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12413,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93)),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 19.64/13.29 tff(12414,plain,
% 19.64/13.29 (v172(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12413, 1446, 12410, 12376, 12342])).
% 19.64/13.29 tff(12415,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12416,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12417,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 19.64/13.29 tff(12418,plain,
% 19.64/13.29 (v109(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12417, 1457, 12414])).
% 19.64/13.29 tff(12419,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB93) | (~v109(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB93) | (~v109(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12420,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB93) | (~v109(constB93)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12421,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB93) | (~v109(constB93))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12420, 12419])).
% 19.64/13.29 tff(12422,plain,
% 19.64/13.29 (v108(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12421, 239, 12418])).
% 19.64/13.29 tff(12423,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB93) | (~v108(constB93)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB93) | (~v108(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12424,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB93) | (~v108(constB93)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12425,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB93) | (~v108(constB93))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12424, 12423])).
% 19.64/13.29 tff(12426,plain,
% 19.64/13.29 (v107(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12425, 250, 12422])).
% 19.64/13.29 tff(12427,assumption,(v26(constB93)), introduced(assumption)).
% 19.64/13.29 tff(12428,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12429,plain,
% 19.64/13.29 ($false),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12428, 18, 12427])).
% 19.64/13.29 tff(12430,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.29 tff(12431,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12432,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12433,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | (~v107(constB93)) | v106(constB93)),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 19.64/13.29 tff(12434,plain,
% 19.64/13.29 ((~v107(constB93)) | v106(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12433, 264, 12430])).
% 19.64/13.29 tff(12435,plain,
% 19.64/13.29 (v106(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12434, 12426])).
% 19.64/13.29 tff(12436,plain,
% 19.64/13.29 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB93) | (~v106(constB93)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB93) | (~v106(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12437,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB93) | (~v106(constB93)))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12438,plain,
% 19.64/13.29 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB93) | (~v106(constB93))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12437, 12436])).
% 19.64/13.29 tff(12439,plain,
% 19.64/13.29 (v102(constB93)),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12438, 276, 12435])).
% 19.64/13.29 tff(12440,plain,
% 19.64/13.29 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12441,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 19.64/13.29 tff(12442,plain,
% 19.64/13.29 (nextState(constB93, constB94)),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12441, 12440])).
% 19.64/13.29 tff(12443,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12444,plain,
% 19.64/13.29 (((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 19.64/13.29 inference(rewrite,[status(thm)],[])).
% 19.64/13.29 tff(12445,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))))),
% 19.64/13.29 inference(monotonicity,[status(thm)],[12444])).
% 19.64/13.29 tff(12446,plain,
% 19.64/13.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 19.64/13.29 inference(transitivity,[status(thm)],[12445, 12443])).
% 19.64/13.29 tff(12447,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))),
% 19.64/13.29 inference(quant_inst,[status(thm)],[])).
% 19.64/13.29 tff(12448,plain,
% 19.64/13.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))),
% 19.64/13.29 inference(modus_ponens,[status(thm)],[12447, 12446])).
% 19.64/13.29 tff(12449,plain,
% 19.64/13.29 (v104(constB94) | (~v102(constB93))),
% 19.64/13.29 inference(unit_resolution,[status(thm)],[12448, 293, 12442])).
% 19.64/13.29 tff(12450,plain,
% 19.64/13.29 (v104(constB94)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12449, 12439])).
% 19.64/13.30 tff(12451,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12452,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12453,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12452, 12451])).
% 19.64/13.30 tff(12454,plain,
% 19.64/13.30 (~v98(constB94)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12453, 311, 12442, 12318])).
% 19.64/13.30 tff(12455,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12456,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12457,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 19.64/13.30 tff(12458,plain,
% 19.64/13.30 (v96(constB94) | v98(constB94)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12457, 325, 12442])).
% 19.64/13.30 tff(12459,plain,
% 19.64/13.30 (v96(constB94)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12458, 12454])).
% 19.64/13.30 tff(12460,plain,
% 19.64/13.30 (v1(constB94) <=> v1(constB94)),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12461,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 19.64/13.30 tff(12462,plain,
% 19.64/13.30 (v1(constB94)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12461, 12460])).
% 19.64/13.30 tff(12463,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12464,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12465,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12464, 12463])).
% 19.64/13.30 tff(12466,plain,
% 19.64/13.30 (v95(constB94) | (~v96(constB94))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12465, 343, 12442, 12462])).
% 19.64/13.30 tff(12467,plain,
% 19.64/13.30 (v95(constB94)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12466, 12459])).
% 19.64/13.30 tff(12468,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12469,plain,
% 19.64/13.30 (((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94)) <=> ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12470,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94))))),
% 19.64/13.30 inference(monotonicity,[status(thm)],[12469])).
% 19.64/13.30 tff(12471,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 19.64/13.30 inference(transitivity,[status(thm)],[12470, 12468])).
% 19.64/13.30 tff(12472,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12473,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12472, 12471])).
% 19.64/13.30 tff(12474,plain,
% 19.64/13.30 (v94(constB94) | (~v95(constB94)) | (~v104(constB94))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12473, 358, 12442])).
% 19.64/13.30 tff(12475,plain,
% 19.64/13.30 (v94(constB94) | (~v104(constB94))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12474, 12467])).
% 19.64/13.30 tff(12476,plain,
% 19.64/13.30 (v94(constB94)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12475, 12450])).
% 19.64/13.30 tff(12477,plain,
% 19.64/13.30 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB93)) | v124(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB93)) | v124(constB93, bitIndex2))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12478,plain,
% 19.64/13.30 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB93)) | v124(constB93, bitIndex2))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12479,plain,
% 19.64/13.30 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB93)) | v124(constB93, bitIndex2)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12478, 12477])).
% 19.64/13.30 tff(12480,plain,
% 19.64/13.30 (v124(constB93, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12479, 1528, 12414])).
% 19.64/13.30 tff(12481,plain,
% 19.64/13.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12482,plain,
% 19.64/13.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12483,plain,
% 19.64/13.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 19.64/13.30 tff(12484,plain,
% 19.64/13.30 ((~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12483, 1273, 12430])).
% 19.64/13.30 tff(12485,plain,
% 19.64/13.30 (v121(constB93, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12484, 12480])).
% 19.64/13.30 tff(12486,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12487,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12488,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12487, 12486])).
% 19.64/13.30 tff(12489,plain,
% 19.64/13.30 ((~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12488, 1288, 12442])).
% 19.64/13.30 tff(12490,plain,
% 19.64/13.30 (v123(constB94, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12489, 12485])).
% 19.64/13.30 tff(12491,plain,
% 19.64/13.30 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12492,plain,
% 19.64/13.30 ((v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2))) <=> (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12493,plain,
% 19.64/13.30 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94))))),
% 19.64/13.30 inference(monotonicity,[status(thm)],[12492])).
% 19.64/13.30 tff(12494,plain,
% 19.64/13.30 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 19.64/13.30 inference(transitivity,[status(thm)],[12493, 12491])).
% 19.64/13.30 tff(12495,plain,
% 19.64/13.30 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12496,plain,
% 19.64/13.30 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12495, 12494])).
% 19.64/13.30 tff(12497,plain,
% 19.64/13.30 (v84(constB94, bitIndex2) | (~v94(constB94))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12496, 1303, 12490])).
% 19.64/13.30 tff(12498,plain,
% 19.64/13.30 (v84(constB94, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12497, 12476])).
% 19.64/13.30 tff(12499,plain,
% 19.64/13.30 ((~v1(constB95)) <=> (~v1(constB95))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12500,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 19.64/13.30 tff(12501,plain,
% 19.64/13.30 (~v1(constB95)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12500, 12499])).
% 19.64/13.30 tff(12502,plain,
% 19.64/13.30 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12503,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 19.64/13.30 tff(12504,plain,
% 19.64/13.30 (nextState(constB94, constB95)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12503, 12502])).
% 19.64/13.30 tff(12505,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12506,plain,
% 19.64/13.30 (((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12507,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))))),
% 19.64/13.30 inference(monotonicity,[status(thm)],[12506])).
% 19.64/13.30 tff(12508,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 19.64/13.30 inference(transitivity,[status(thm)],[12507, 12505])).
% 19.64/13.30 tff(12509,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12510,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 19.64/13.30 tff(12511,plain,
% 19.64/13.30 (~v95(constB95)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12510, 89, 12504, 12501])).
% 19.64/13.30 tff(12512,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12513,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12514,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12513, 12512])).
% 19.64/13.30 tff(12515,plain,
% 19.64/13.30 (v95(constB95) | (~v94(constB95))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12514, 106, 12504])).
% 19.64/13.30 tff(12516,plain,
% 19.64/13.30 (~v94(constB95)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12515, 12511])).
% 19.64/13.30 tff(12517,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12518,plain,
% 19.64/13.30 (((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2)) <=> ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12519,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2)))),
% 19.64/13.30 inference(monotonicity,[status(thm)],[12518])).
% 19.64/13.30 tff(12520,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 19.64/13.30 inference(transitivity,[status(thm)],[12519, 12517])).
% 19.64/13.30 tff(12521,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12522,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12521, 12520])).
% 19.64/13.30 tff(12523,plain,
% 19.64/13.30 ((~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12522, 1339, 12504])).
% 19.64/13.30 tff(12524,plain,
% 19.64/13.30 ((~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12523, 12516])).
% 19.64/13.30 tff(12525,plain,
% 19.64/13.30 (v84(constB95, bitIndex2)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12524, 12498])).
% 19.64/13.30 tff(12526,plain,
% 19.64/13.30 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB93)) | (~v124(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB93)) | (~v124(constB93, bitIndex1)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12527,plain,
% 19.64/13.30 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB93)) | (~v124(constB93, bitIndex1)))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12528,plain,
% 19.64/13.30 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB93)) | (~v124(constB93, bitIndex1))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12527, 12526])).
% 19.64/13.30 tff(12529,plain,
% 19.64/13.30 (~v124(constB93, bitIndex1)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12528, 1587, 12414])).
% 19.64/13.30 tff(12530,plain,
% 19.64/13.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12531,plain,
% 19.64/13.30 ((v26(constB93) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1))) <=> ((~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12532,plain,
% 19.64/13.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB93) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1)))),
% 19.64/13.30 inference(monotonicity,[status(thm)],[12531])).
% 19.64/13.30 tff(12533,plain,
% 19.64/13.30 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB93) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1))),
% 19.64/13.30 inference(transitivity,[status(thm)],[12532, 12530])).
% 19.64/13.30 tff(12534,plain,
% 19.64/13.30 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB93) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12535,plain,
% 19.64/13.30 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12534, 12533])).
% 19.64/13.30 tff(12536,plain,
% 19.64/13.30 ((~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12535, 483, 12430])).
% 19.64/13.30 tff(12537,plain,
% 19.64/13.30 (~v121(constB93, bitIndex1)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12536, 12529])).
% 19.64/13.30 tff(12538,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12539,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12540,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12539, 12538])).
% 19.64/13.30 tff(12541,plain,
% 19.64/13.30 (v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12540, 501, 12442])).
% 19.64/13.30 tff(12542,plain,
% 19.64/13.30 (~v123(constB94, bitIndex1)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12541, 12537])).
% 19.64/13.30 tff(12543,plain,
% 19.64/13.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12544,plain,
% 19.64/13.30 (((~v84(constB94, bitIndex1)) | (~v94(constB94)) | v123(constB94, bitIndex1)) <=> ((~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12545,plain,
% 19.64/13.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~v94(constB94)) | v123(constB94, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94))))),
% 19.64/13.30 inference(monotonicity,[status(thm)],[12544])).
% 19.64/13.30 tff(12546,plain,
% 19.64/13.30 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~v94(constB94)) | v123(constB94, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94)))),
% 19.64/13.30 inference(transitivity,[status(thm)],[12545, 12543])).
% 19.64/13.30 tff(12547,plain,
% 19.64/13.30 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~v94(constB94)) | v123(constB94, bitIndex1))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12548,plain,
% 19.64/13.30 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12547, 12546])).
% 19.64/13.30 tff(12549,plain,
% 19.64/13.30 ((~v84(constB94, bitIndex1)) | (~v94(constB94))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12548, 516, 12542])).
% 19.64/13.30 tff(12550,plain,
% 19.64/13.30 (~v84(constB94, bitIndex1)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12549, 12476])).
% 19.64/13.30 tff(12551,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12552,plain,
% 19.64/13.30 (((~nextState(constB94, constB95)) | v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1))) <=> (v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1)))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12553,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1))))),
% 19.64/13.30 inference(monotonicity,[status(thm)],[12552])).
% 19.64/13.30 tff(12554,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1)))),
% 19.64/13.30 inference(transitivity,[status(thm)],[12553, 12551])).
% 19.64/13.30 tff(12555,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1)))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12556,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1))),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12555, 12554])).
% 19.64/13.30 tff(12557,plain,
% 19.64/13.30 (v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12556, 142, 12504])).
% 19.64/13.30 tff(12558,plain,
% 19.64/13.30 (v84(constB94, bitIndex1) | (~v84(constB95, bitIndex1))),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12557, 12516])).
% 19.64/13.30 tff(12559,plain,
% 19.64/13.30 (~v84(constB95, bitIndex1)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12558, 12550])).
% 19.64/13.30 tff(12560,plain,
% 19.64/13.30 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB93)) | v124(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB93)) | v124(constB93, bitIndex0))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12561,plain,
% 19.64/13.30 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB93)) | v124(constB93, bitIndex0))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12562,plain,
% 19.64/13.30 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB93)) | v124(constB93, bitIndex0)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12561, 12560])).
% 19.64/13.30 tff(12563,plain,
% 19.64/13.30 (v124(constB93, bitIndex0)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12562, 1631, 12414])).
% 19.64/13.30 tff(12564,plain,
% 19.64/13.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB93) | (~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB93) | (~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12565,plain,
% 19.64/13.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB93) | (~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12566,plain,
% 19.64/13.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB93) | (~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12565, 12564])).
% 19.64/13.30 tff(12567,plain,
% 19.64/13.30 ((~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12566, 557, 12430])).
% 19.64/13.30 tff(12568,plain,
% 19.64/13.30 (v121(constB93, bitIndex0)),
% 19.64/13.30 inference(unit_resolution,[status(thm)],[12567, 12563])).
% 19.64/13.30 tff(12569,plain,
% 19.64/13.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0))),
% 19.64/13.30 inference(rewrite,[status(thm)],[])).
% 19.64/13.30 tff(12570,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0))),
% 19.64/13.30 inference(quant_inst,[status(thm)],[])).
% 19.64/13.30 tff(12571,plain,
% 19.64/13.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0)),
% 19.64/13.30 inference(modus_ponens,[status(thm)],[12570, 12569])).
% 19.64/13.31 tff(12572,plain,
% 19.64/13.31 ((~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12571, 572, 12442])).
% 19.64/13.31 tff(12573,plain,
% 19.64/13.31 (v123(constB94, bitIndex0)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12572, 12568])).
% 19.64/13.31 tff(12574,plain,
% 19.64/13.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12575,plain,
% 19.64/13.31 ((v84(constB94, bitIndex0) | (~v94(constB94)) | (~v123(constB94, bitIndex0))) <=> (v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12576,plain,
% 19.64/13.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v94(constB94)) | (~v123(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94))))),
% 19.64/13.31 inference(monotonicity,[status(thm)],[12575])).
% 19.64/13.31 tff(12577,plain,
% 19.64/13.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v94(constB94)) | (~v123(constB94, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94)))),
% 19.64/13.31 inference(transitivity,[status(thm)],[12576, 12574])).
% 19.64/13.31 tff(12578,plain,
% 19.64/13.31 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v94(constB94)) | (~v123(constB94, bitIndex0)))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12579,plain,
% 19.64/13.31 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12578, 12577])).
% 19.64/13.31 tff(12580,plain,
% 19.64/13.31 (v84(constB94, bitIndex0) | (~v94(constB94))),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12579, 587, 12573])).
% 19.64/13.31 tff(12581,plain,
% 19.64/13.31 (v84(constB94, bitIndex0)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12580, 12476])).
% 19.64/13.31 tff(12582,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12583,plain,
% 19.64/13.31 (((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0)) <=> ((~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12584,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0)))),
% 19.64/13.31 inference(monotonicity,[status(thm)],[12583])).
% 19.64/13.31 tff(12585,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0))),
% 19.64/13.31 inference(transitivity,[status(thm)],[12584, 12582])).
% 19.64/13.31 tff(12586,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12587,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12586, 12585])).
% 19.64/13.31 tff(12588,plain,
% 19.64/13.31 ((~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12587, 605, 12504])).
% 19.64/13.31 tff(12589,plain,
% 19.64/13.31 ((~v84(constB94, bitIndex0)) | v84(constB95, bitIndex0)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12588, 12516])).
% 19.64/13.31 tff(12590,plain,
% 19.64/13.31 (v84(constB95, bitIndex0)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12589, 12581])).
% 19.64/13.31 tff(12591,plain,
% 19.64/13.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12592,plain,
% 19.64/13.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12593,plain,
% 19.64/13.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12592, 12591])).
% 19.64/13.31 tff(12594,plain,
% 19.64/13.31 (v118(constB95)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12593, 1672, 12590, 12559, 12525])).
% 19.64/13.31 tff(12595,plain,
% 19.64/13.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB95) | (~v118(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB95) | (~v118(constB95)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12596,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB95) | (~v118(constB95)))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12597,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB95) | (~v118(constB95))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12596, 12595])).
% 19.64/13.31 tff(12598,plain,
% 19.64/13.31 (v108(constB95)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12597, 1683, 12594])).
% 19.64/13.31 tff(12599,plain,
% 19.64/13.31 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB95) | (~v108(constB95)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB95) | (~v108(constB95)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12600,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB95) | (~v108(constB95)))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12601,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB95) | (~v108(constB95))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12600, 12599])).
% 19.64/13.31 tff(12602,plain,
% 19.64/13.31 (v107(constB95)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12601, 250, 12598])).
% 19.64/13.31 tff(12603,assumption,(v26(constB95)), introduced(assumption)).
% 19.64/13.31 tff(12604,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12605,plain,
% 19.64/13.31 ($false),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12604, 18, 12603])).
% 19.64/13.31 tff(12606,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 19.64/13.31 tff(12607,plain,
% 19.64/13.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | v106(constB95) | (~v107(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12608,plain,
% 19.64/13.31 ((v26(constB95) | (~v107(constB95)) | v106(constB95)) <=> (v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12609,plain,
% 19.64/13.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | v106(constB95) | (~v107(constB95))))),
% 19.64/13.31 inference(monotonicity,[status(thm)],[12608])).
% 19.64/13.31 tff(12610,plain,
% 19.64/13.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 19.64/13.31 inference(transitivity,[status(thm)],[12609, 12607])).
% 19.64/13.31 tff(12611,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12612,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 19.64/13.31 tff(12613,plain,
% 19.64/13.31 (v106(constB95) | (~v107(constB95))),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12612, 264, 12606])).
% 19.64/13.31 tff(12614,plain,
% 19.64/13.31 (v106(constB95)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12613, 12602])).
% 19.64/13.31 tff(12615,plain,
% 19.64/13.31 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB95) | (~v106(constB95)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB95) | (~v106(constB95)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12616,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB95) | (~v106(constB95)))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12617,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB95) | (~v106(constB95))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12616, 12615])).
% 19.64/13.31 tff(12618,plain,
% 19.64/13.31 (v102(constB95)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12617, 276, 12614])).
% 19.64/13.31 tff(12619,plain,
% 19.64/13.31 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12620,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 19.64/13.31 tff(12621,plain,
% 19.64/13.31 (nextState(constB95, constB96)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12620, 12619])).
% 19.64/13.31 tff(12622,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12623,plain,
% 19.64/13.31 (((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12624,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))))),
% 19.64/13.31 inference(monotonicity,[status(thm)],[12623])).
% 19.64/13.31 tff(12625,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 19.64/13.31 inference(transitivity,[status(thm)],[12624, 12622])).
% 19.64/13.31 tff(12626,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12627,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12626, 12625])).
% 19.64/13.31 tff(12628,plain,
% 19.64/13.31 (v104(constB96) | (~v102(constB95))),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12627, 293, 12621])).
% 19.64/13.31 tff(12629,plain,
% 19.64/13.31 (v104(constB96)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12628, 12618])).
% 19.64/13.31 tff(12630,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12631,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12632,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 19.64/13.31 tff(12633,plain,
% 19.64/13.31 (~v98(constB96)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12632, 311, 12621, 12501])).
% 19.64/13.31 tff(12634,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12635,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12636,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12635, 12634])).
% 19.64/13.31 tff(12637,plain,
% 19.64/13.31 (v96(constB96) | v98(constB96)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12636, 325, 12621])).
% 19.64/13.31 tff(12638,plain,
% 19.64/13.31 (v96(constB96)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12637, 12633])).
% 19.64/13.31 tff(12639,plain,
% 19.64/13.31 (v1(constB96) <=> v1(constB96)),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12640,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 19.64/13.31 tff(12641,plain,
% 19.64/13.31 (v1(constB96)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 19.64/13.31 tff(12642,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12643,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12644,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12643, 12642])).
% 19.64/13.31 tff(12645,plain,
% 19.64/13.31 (v95(constB96) | (~v96(constB96))),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12644, 343, 12621, 12641])).
% 19.64/13.31 tff(12646,plain,
% 19.64/13.31 (v95(constB96)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12645, 12638])).
% 19.64/13.31 tff(12647,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12648,plain,
% 19.64/13.31 (((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96)) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12649,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96))))),
% 19.64/13.31 inference(monotonicity,[status(thm)],[12648])).
% 19.64/13.31 tff(12650,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 19.64/13.31 inference(transitivity,[status(thm)],[12649, 12647])).
% 19.64/13.31 tff(12651,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12652,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12651, 12650])).
% 19.64/13.31 tff(12653,plain,
% 19.64/13.31 (v94(constB96) | (~v95(constB96)) | (~v104(constB96))),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12652, 358, 12621])).
% 19.64/13.31 tff(12654,plain,
% 19.64/13.31 (v94(constB96) | (~v104(constB96))),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12653, 12646])).
% 19.64/13.31 tff(12655,plain,
% 19.64/13.31 (v94(constB96)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12654, 12629])).
% 19.64/13.31 tff(12656,plain,
% 19.64/13.31 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB95)) | v124(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB95)) | v124(constB95, bitIndex2))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12657,plain,
% 19.64/13.31 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB95)) | v124(constB95, bitIndex2))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12658,plain,
% 19.64/13.31 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB95)) | v124(constB95, bitIndex2)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 19.64/13.31 tff(12659,plain,
% 19.64/13.31 (v124(constB95, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12658, 1750, 12594])).
% 19.64/13.31 tff(12660,plain,
% 19.64/13.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB95) | (~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB95) | (~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12661,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB95) | (~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12662,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB95) | (~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12661, 12660])).
% 19.64/13.31 tff(12663,plain,
% 19.64/13.31 ((~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12662, 1273, 12606])).
% 19.64/13.31 tff(12664,plain,
% 19.64/13.31 (v121(constB95, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12663, 12659])).
% 19.64/13.31 tff(12665,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12666,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12667,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 19.64/13.31 tff(12668,plain,
% 19.64/13.31 ((~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12667, 1288, 12621])).
% 19.64/13.31 tff(12669,plain,
% 19.64/13.31 (v123(constB96, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12668, 12664])).
% 19.64/13.31 tff(12670,plain,
% 19.64/13.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12671,plain,
% 19.64/13.31 ((v84(constB96, bitIndex2) | (~v94(constB96)) | (~v123(constB96, bitIndex2))) <=> (v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12672,plain,
% 19.64/13.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v94(constB96)) | (~v123(constB96, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96))))),
% 19.64/13.31 inference(monotonicity,[status(thm)],[12671])).
% 19.64/13.31 tff(12673,plain,
% 19.64/13.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v94(constB96)) | (~v123(constB96, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96)))),
% 19.64/13.31 inference(transitivity,[status(thm)],[12672, 12670])).
% 19.64/13.31 tff(12674,plain,
% 19.64/13.31 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v94(constB96)) | (~v123(constB96, bitIndex2)))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12675,plain,
% 19.64/13.31 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12674, 12673])).
% 19.64/13.31 tff(12676,plain,
% 19.64/13.31 (v84(constB96, bitIndex2) | (~v94(constB96))),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12675, 1303, 12669])).
% 19.64/13.31 tff(12677,plain,
% 19.64/13.31 (v84(constB96, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12676, 12655])).
% 19.64/13.31 tff(12678,plain,
% 19.64/13.31 ((~v1(constB97)) <=> (~v1(constB97))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12679,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 19.64/13.31 tff(12680,plain,
% 19.64/13.31 (~v1(constB97)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 19.64/13.31 tff(12681,plain,
% 19.64/13.31 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12682,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 19.64/13.31 tff(12683,plain,
% 19.64/13.31 (nextState(constB96, constB97)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12682, 12681])).
% 19.64/13.31 tff(12684,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12685,plain,
% 19.64/13.31 (((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12686,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))))),
% 19.64/13.31 inference(monotonicity,[status(thm)],[12685])).
% 19.64/13.31 tff(12687,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 19.64/13.31 inference(transitivity,[status(thm)],[12686, 12684])).
% 19.64/13.31 tff(12688,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12689,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12688, 12687])).
% 19.64/13.31 tff(12690,plain,
% 19.64/13.31 (~v95(constB97)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12689, 89, 12683, 12680])).
% 19.64/13.31 tff(12691,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12692,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12693,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97))),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12692, 12691])).
% 19.64/13.31 tff(12694,plain,
% 19.64/13.31 (v95(constB97) | (~v94(constB97))),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12693, 106, 12683])).
% 19.64/13.31 tff(12695,plain,
% 19.64/13.31 (~v94(constB97)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12694, 12690])).
% 19.64/13.31 tff(12696,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12697,plain,
% 19.64/13.31 (((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2)) <=> ((~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12698,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2)))),
% 19.64/13.31 inference(monotonicity,[status(thm)],[12697])).
% 19.64/13.31 tff(12699,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2))),
% 19.64/13.31 inference(transitivity,[status(thm)],[12698, 12696])).
% 19.64/13.31 tff(12700,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12701,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 19.64/13.31 tff(12702,plain,
% 19.64/13.31 ((~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12701, 1339, 12683])).
% 19.64/13.31 tff(12703,plain,
% 19.64/13.31 ((~v84(constB96, bitIndex2)) | v84(constB97, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12702, 12695])).
% 19.64/13.31 tff(12704,plain,
% 19.64/13.31 (v84(constB97, bitIndex2)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12703, 12677])).
% 19.64/13.31 tff(12705,plain,
% 19.64/13.31 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB95)) | v124(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB95)) | v124(constB95, bitIndex1))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12706,plain,
% 19.64/13.31 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB95)) | v124(constB95, bitIndex1))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12707,plain,
% 19.64/13.31 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB95)) | v124(constB95, bitIndex1)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12706, 12705])).
% 19.64/13.31 tff(12708,plain,
% 19.64/13.31 (v124(constB95, bitIndex1)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12707, 1809, 12594])).
% 19.64/13.31 tff(12709,plain,
% 19.64/13.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB95) | (~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB95) | (~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12710,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB95) | (~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12711,plain,
% 19.64/13.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB95) | (~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 19.64/13.31 tff(12712,plain,
% 19.64/13.31 ((~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12711, 804, 12606])).
% 19.64/13.31 tff(12713,plain,
% 19.64/13.31 (v121(constB95, bitIndex1)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12712, 12708])).
% 19.64/13.31 tff(12714,plain,
% 19.64/13.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12715,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1))),
% 19.64/13.31 inference(quant_inst,[status(thm)],[])).
% 19.64/13.31 tff(12716,plain,
% 19.64/13.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1)),
% 19.64/13.31 inference(modus_ponens,[status(thm)],[12715, 12714])).
% 19.64/13.31 tff(12717,plain,
% 19.64/13.31 ((~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12716, 819, 12621])).
% 19.64/13.31 tff(12718,plain,
% 19.64/13.31 (v123(constB96, bitIndex1)),
% 19.64/13.31 inference(unit_resolution,[status(thm)],[12717, 12713])).
% 19.64/13.31 tff(12719,plain,
% 19.64/13.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12720,plain,
% 19.64/13.31 ((v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1))) <=> (v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96)))),
% 19.64/13.31 inference(rewrite,[status(thm)],[])).
% 19.64/13.31 tff(12721,plain,
% 19.64/13.31 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96))))),
% 19.64/13.32 inference(monotonicity,[status(thm)],[12720])).
% 19.64/13.32 tff(12722,plain,
% 19.64/13.32 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96)))),
% 19.64/13.32 inference(transitivity,[status(thm)],[12721, 12719])).
% 19.64/13.32 tff(12723,plain,
% 19.64/13.32 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1)))),
% 19.64/13.32 inference(quant_inst,[status(thm)],[])).
% 19.64/13.32 tff(12724,plain,
% 19.64/13.32 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96))),
% 19.64/13.32 inference(modus_ponens,[status(thm)],[12723, 12722])).
% 19.64/13.32 tff(12725,plain,
% 19.64/13.32 (v84(constB96, bitIndex1) | (~v94(constB96))),
% 19.64/13.32 inference(unit_resolution,[status(thm)],[12724, 834, 12718])).
% 19.64/13.32 tff(12726,plain,
% 19.64/13.32 (v84(constB96, bitIndex1)),
% 19.64/13.32 inference(unit_resolution,[status(thm)],[12725, 12655])).
% 19.64/13.32 tff(12727,plain,
% 19.64/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1))),
% 19.64/13.32 inference(rewrite,[status(thm)],[])).
% 19.64/13.32 tff(12728,plain,
% 19.64/13.32 (((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1)) <=> ((~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1))),
% 19.64/13.32 inference(rewrite,[status(thm)],[])).
% 19.64/13.32 tff(12729,plain,
% 19.64/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1)))),
% 19.64/13.32 inference(monotonicity,[status(thm)],[12728])).
% 19.64/13.32 tff(12730,plain,
% 19.64/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1))),
% 19.64/13.32 inference(transitivity,[status(thm)],[12729, 12727])).
% 19.64/13.32 tff(12731,plain,
% 19.64/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1))),
% 19.64/13.32 inference(quant_inst,[status(thm)],[])).
% 19.64/13.32 tff(12732,plain,
% 19.64/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1)),
% 19.64/13.32 inference(modus_ponens,[status(thm)],[12731, 12730])).
% 19.64/13.32 tff(12733,plain,
% 19.64/13.32 ((~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1)),
% 19.64/13.32 inference(unit_resolution,[status(thm)],[12732, 852, 12683])).
% 19.74/13.32 tff(12734,plain,
% 19.74/13.32 ((~v84(constB96, bitIndex1)) | v84(constB97, bitIndex1)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12733, 12695])).
% 19.74/13.32 tff(12735,plain,
% 19.74/13.32 (v84(constB97, bitIndex1)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12734, 12726])).
% 19.74/13.32 tff(12736,plain,
% 19.74/13.32 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB95)) | (~v124(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB95)) | (~v124(constB95, bitIndex0)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12737,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB95)) | (~v124(constB95, bitIndex0)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12738,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB95)) | (~v124(constB95, bitIndex0))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12737, 12736])).
% 19.74/13.32 tff(12739,plain,
% 19.74/13.32 (~v124(constB95, bitIndex0)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12738, 1850, 12594])).
% 19.74/13.32 tff(12740,plain,
% 19.74/13.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12741,plain,
% 19.74/13.32 ((v26(constB95) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0))) <=> ((~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12742,plain,
% 19.74/13.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB95) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0)))),
% 19.74/13.32 inference(monotonicity,[status(thm)],[12741])).
% 19.74/13.32 tff(12743,plain,
% 19.74/13.32 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB95) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0))),
% 19.74/13.32 inference(transitivity,[status(thm)],[12742, 12740])).
% 19.74/13.32 tff(12744,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB95) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12745,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0)),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12744, 12743])).
% 19.74/13.32 tff(12746,plain,
% 19.74/13.32 ((~v121(constB95, bitIndex0)) | v124(constB95, bitIndex0)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12745, 885, 12606])).
% 19.74/13.32 tff(12747,plain,
% 19.74/13.32 (~v121(constB95, bitIndex0)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12746, 12739])).
% 19.74/13.32 tff(12748,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12749,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12750,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12749, 12748])).
% 19.74/13.32 tff(12751,plain,
% 19.74/13.32 (v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0))),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12750, 903, 12621])).
% 19.74/13.32 tff(12752,plain,
% 19.74/13.32 (~v123(constB96, bitIndex0)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12751, 12747])).
% 19.74/13.32 tff(12753,plain,
% 19.74/13.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12754,plain,
% 19.74/13.32 (((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0)) <=> ((~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12755,plain,
% 19.74/13.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96))))),
% 19.74/13.32 inference(monotonicity,[status(thm)],[12754])).
% 19.74/13.32 tff(12756,plain,
% 19.74/13.32 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96)))),
% 19.74/13.32 inference(transitivity,[status(thm)],[12755, 12753])).
% 19.74/13.32 tff(12757,plain,
% 19.74/13.32 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12758,plain,
% 19.74/13.32 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 19.74/13.32 tff(12759,plain,
% 19.74/13.32 ((~v84(constB96, bitIndex0)) | (~v94(constB96))),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12758, 918, 12752])).
% 19.74/13.32 tff(12760,plain,
% 19.74/13.32 (~v84(constB96, bitIndex0)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12759, 12655])).
% 19.74/13.32 tff(12761,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12762,plain,
% 19.74/13.32 (((~nextState(constB96, constB97)) | v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0))) <=> (v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12763,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0))))),
% 19.74/13.32 inference(monotonicity,[status(thm)],[12762])).
% 19.74/13.32 tff(12764,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0)))),
% 19.74/13.32 inference(transitivity,[status(thm)],[12763, 12761])).
% 19.74/13.32 tff(12765,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12766,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12765, 12764])).
% 19.74/13.32 tff(12767,plain,
% 19.74/13.32 (v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0))),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12766, 163, 12683])).
% 19.74/13.32 tff(12768,plain,
% 19.74/13.32 (v84(constB96, bitIndex0) | (~v84(constB97, bitIndex0))),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12767, 12695])).
% 19.74/13.32 tff(12769,plain,
% 19.74/13.32 (~v84(constB97, bitIndex0)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12768, 12760])).
% 19.74/13.32 tff(12770,plain,
% 19.74/13.32 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12771,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12772,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97)),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12771, 12770])).
% 19.74/13.32 tff(12773,plain,
% 19.74/13.32 (v119(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12772, 1894, 12769, 12735, 12704])).
% 19.74/13.32 tff(12774,plain,
% 19.74/13.32 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB97) | (~v119(constB97)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB97) | (~v119(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12775,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB97) | (~v119(constB97)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12776,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB97) | (~v119(constB97))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 19.74/13.32 tff(12777,plain,
% 19.74/13.32 (v107(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12776, 1905, 12773])).
% 19.74/13.32 tff(12778,assumption,(v26(constB97)), introduced(assumption)).
% 19.74/13.32 tff(12779,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12780,plain,
% 19.74/13.32 ($false),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12779, 18, 12778])).
% 19.74/13.32 tff(12781,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.32 tff(12782,plain,
% 19.74/13.32 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | (~v107(constB97)) | v106(constB97))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12783,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12784,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | (~v107(constB97)) | v106(constB97)),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12783, 12782])).
% 19.74/13.32 tff(12785,plain,
% 19.74/13.32 ((~v107(constB97)) | v106(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12784, 264, 12781])).
% 19.74/13.32 tff(12786,plain,
% 19.74/13.32 (v106(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12785, 12777])).
% 19.74/13.32 tff(12787,plain,
% 19.74/13.32 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB97) | (~v106(constB97)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB97) | (~v106(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12788,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB97) | (~v106(constB97)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12789,plain,
% 19.74/13.32 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB97) | (~v106(constB97))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 19.74/13.32 tff(12790,plain,
% 19.74/13.32 (v102(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12789, 276, 12786])).
% 19.74/13.32 tff(12791,plain,
% 19.74/13.32 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12792,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 19.74/13.32 tff(12793,plain,
% 19.74/13.32 (nextState(constB97, constB98)),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 19.74/13.32 tff(12794,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12795,plain,
% 19.74/13.32 (((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12796,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))))),
% 19.74/13.32 inference(monotonicity,[status(thm)],[12795])).
% 19.74/13.32 tff(12797,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 19.74/13.32 inference(transitivity,[status(thm)],[12796, 12794])).
% 19.74/13.32 tff(12798,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12799,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12798, 12797])).
% 19.74/13.32 tff(12800,plain,
% 19.74/13.32 (v104(constB98) | (~v102(constB97))),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12799, 293, 12793])).
% 19.74/13.32 tff(12801,plain,
% 19.74/13.32 (v104(constB98)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12800, 12790])).
% 19.74/13.32 tff(12802,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12803,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12804,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12803, 12802])).
% 19.74/13.32 tff(12805,plain,
% 19.74/13.32 (~v98(constB98)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12804, 311, 12793, 12680])).
% 19.74/13.32 tff(12806,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12807,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12808,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98)),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12807, 12806])).
% 19.74/13.32 tff(12809,plain,
% 19.74/13.32 (v96(constB98) | v98(constB98)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12808, 325, 12793])).
% 19.74/13.32 tff(12810,plain,
% 19.74/13.32 (v96(constB98)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12809, 12805])).
% 19.74/13.32 tff(12811,plain,
% 19.74/13.32 (v1(constB98) <=> v1(constB98)),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12812,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 19.74/13.32 tff(12813,plain,
% 19.74/13.32 (v1(constB98)),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12812, 12811])).
% 19.74/13.32 tff(12814,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12815,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12816,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12815, 12814])).
% 19.74/13.32 tff(12817,plain,
% 19.74/13.32 (v95(constB98) | (~v96(constB98))),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12816, 343, 12793, 12813])).
% 19.74/13.32 tff(12818,plain,
% 19.74/13.32 (v95(constB98)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12817, 12810])).
% 19.74/13.32 tff(12819,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12820,plain,
% 19.74/13.32 (((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98)) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12821,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98))))),
% 19.74/13.32 inference(monotonicity,[status(thm)],[12820])).
% 19.74/13.32 tff(12822,plain,
% 19.74/13.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 19.74/13.32 inference(transitivity,[status(thm)],[12821, 12819])).
% 19.74/13.32 tff(12823,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12824,plain,
% 19.74/13.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 19.74/13.32 tff(12825,plain,
% 19.74/13.32 (v94(constB98) | (~v95(constB98)) | (~v104(constB98))),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12824, 358, 12793])).
% 19.74/13.32 tff(12826,plain,
% 19.74/13.32 (v94(constB98) | (~v104(constB98))),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12825, 12818])).
% 19.74/13.32 tff(12827,plain,
% 19.74/13.32 (v94(constB98)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12826, 12801])).
% 19.74/13.32 tff(12828,plain,
% 19.74/13.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v115(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB97, bitIndex2)) | (~v115(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12829,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v115(constB97)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12830,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB97, bitIndex2)) | (~v115(constB97))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12829, 12828])).
% 19.74/13.32 tff(12831,plain,
% 19.74/13.32 (~v115(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12830, 1965, 12704])).
% 19.74/13.32 tff(12832,plain,
% 19.74/13.32 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB97)) | (~v84(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB97)) | (~v84(constB97, bitIndex1)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12833,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB97)) | (~v84(constB97, bitIndex1)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12834,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB97)) | (~v84(constB97, bitIndex1))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12833, 12832])).
% 19.74/13.32 tff(12835,plain,
% 19.74/13.32 (~v113(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12834, 1990, 12735])).
% 19.74/13.32 tff(12836,plain,
% 19.74/13.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v118(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v118(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12837,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v118(constB97)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12838,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v118(constB97))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12837, 12836])).
% 19.74/13.32 tff(12839,plain,
% 19.74/13.32 (~v118(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12838, 2001, 12735])).
% 19.74/13.32 tff(12840,plain,
% 19.74/13.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v172(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v172(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12841,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v172(constB97)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12842,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v172(constB97))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12841, 12840])).
% 19.74/13.32 tff(12843,plain,
% 19.74/13.32 (~v172(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12842, 2023, 12735])).
% 19.74/13.32 tff(12844,plain,
% 19.74/13.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v145(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12845,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v145(constB97)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12846,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v145(constB97))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12845, 12844])).
% 19.74/13.32 tff(12847,plain,
% 19.74/13.32 (~v145(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12846, 2012, 12735])).
% 19.74/13.32 tff(12848,plain,
% 19.74/13.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v116(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB97, bitIndex2)) | (~v116(constB97)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12849,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v116(constB97)))),
% 19.74/13.32 inference(quant_inst,[status(thm)],[])).
% 19.74/13.32 tff(12850,plain,
% 19.74/13.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB97, bitIndex2)) | (~v116(constB97))),
% 19.74/13.32 inference(modus_ponens,[status(thm)],[12849, 12848])).
% 19.74/13.32 tff(12851,plain,
% 19.74/13.32 (~v116(constB97)),
% 19.74/13.32 inference(unit_resolution,[status(thm)],[12850, 1976, 12704])).
% 19.74/13.32 tff(12852,plain,
% 19.74/13.32 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex2)))),
% 19.74/13.32 inference(rewrite,[status(thm)],[])).
% 19.74/13.32 tff(12853,plain,
% 19.74/13.32 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex2))) <=> (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex2)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12854,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex2))))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12853])).
% 19.74/13.33 tff(12855,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex2)))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12854, 12852])).
% 19.74/13.33 tff(12856,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex2)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12857,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex2))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12856, 12855])).
% 19.74/13.33 tff(12858,plain,
% 19.74/13.33 (~v124(constB97, bitIndex2)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12857, 2037, 12851, 12847, 12843, 12839, 12835, 12831])).
% 19.74/13.33 tff(12859,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12860,plain,
% 19.74/13.33 ((v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2))) <=> ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12861,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2)))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12860])).
% 19.74/13.33 tff(12862,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12861, 12859])).
% 19.74/13.33 tff(12863,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12864,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2)),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 19.74/13.33 tff(12865,plain,
% 19.74/13.33 ((~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12864, 391, 12781])).
% 19.74/13.33 tff(12866,plain,
% 19.74/13.33 (~v121(constB97, bitIndex2)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12865, 12858])).
% 19.74/13.33 tff(12867,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12868,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12869,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 19.74/13.33 tff(12870,plain,
% 19.74/13.33 (v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12869, 409, 12793])).
% 19.74/13.33 tff(12871,plain,
% 19.74/13.33 (~v123(constB98, bitIndex2)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12870, 12866])).
% 19.74/13.33 tff(12872,plain,
% 19.74/13.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12873,plain,
% 19.74/13.33 (((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2)) <=> ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12874,plain,
% 19.74/13.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98))))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12873])).
% 19.74/13.33 tff(12875,plain,
% 19.74/13.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12874, 12872])).
% 19.74/13.33 tff(12876,plain,
% 19.74/13.33 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12877,plain,
% 19.74/13.33 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12876, 12875])).
% 19.74/13.33 tff(12878,plain,
% 19.74/13.33 ((~v84(constB98, bitIndex2)) | (~v94(constB98))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12877, 424, 12871])).
% 19.74/13.33 tff(12879,plain,
% 19.74/13.33 (~v84(constB98, bitIndex2)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12878, 12827])).
% 19.74/13.33 tff(12880,plain,
% 19.74/13.33 ((~v1(constB99)) <=> (~v1(constB99))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12881,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 19.74/13.33 tff(12882,plain,
% 19.74/13.33 (~v1(constB99)),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12881, 12880])).
% 19.74/13.33 tff(12883,plain,
% 19.74/13.33 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12884,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 19.74/13.33 tff(12885,plain,
% 19.74/13.33 (nextState(constB98, constB99)),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12884, 12883])).
% 19.74/13.33 tff(12886,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12887,plain,
% 19.74/13.33 (((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12888,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12887])).
% 19.74/13.33 tff(12889,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12888, 12886])).
% 19.74/13.33 tff(12890,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12891,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12890, 12889])).
% 19.74/13.33 tff(12892,plain,
% 19.74/13.33 (~v95(constB99)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12891, 89, 12885, 12882])).
% 19.74/13.33 tff(12893,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12894,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12895,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12894, 12893])).
% 19.74/13.33 tff(12896,plain,
% 19.74/13.33 (v95(constB99) | (~v94(constB99))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12895, 106, 12885])).
% 19.74/13.33 tff(12897,plain,
% 19.74/13.33 (~v94(constB99)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12896, 12892])).
% 19.74/13.33 tff(12898,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12899,plain,
% 19.74/13.33 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2))) <=> (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12900,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2))))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12899])).
% 19.74/13.33 tff(12901,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12900, 12898])).
% 19.74/13.33 tff(12902,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12903,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12902, 12901])).
% 19.74/13.33 tff(12904,plain,
% 19.74/13.33 (v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12903, 121, 12885])).
% 19.74/13.33 tff(12905,plain,
% 19.74/13.33 (v84(constB98, bitIndex2) | (~v84(constB99, bitIndex2))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12904, 12897])).
% 19.74/13.33 tff(12906,plain,
% 19.74/13.33 (~v84(constB99, bitIndex2)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12905, 12879])).
% 19.74/13.33 tff(12907,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex1)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12908,plain,
% 19.74/13.33 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1))) <=> (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex1)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12909,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex1))))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12908])).
% 19.74/13.33 tff(12910,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex1)))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12909, 12907])).
% 19.74/13.33 tff(12911,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12912,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | (~v124(constB97, bitIndex1))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12911, 12910])).
% 19.74/13.33 tff(12913,plain,
% 19.74/13.33 (~v124(constB97, bitIndex1)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12912, 2102, 12851, 12847, 12843, 12839, 12835, 12831])).
% 19.74/13.33 tff(12914,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12915,plain,
% 19.74/13.33 ((v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1))) <=> ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12916,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1)))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12915])).
% 19.74/13.33 tff(12917,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12916, 12914])).
% 19.74/13.33 tff(12918,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12919,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1)),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12918, 12917])).
% 19.74/13.33 tff(12920,plain,
% 19.74/13.33 ((~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12919, 483, 12781])).
% 19.74/13.33 tff(12921,plain,
% 19.74/13.33 (~v121(constB97, bitIndex1)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12920, 12913])).
% 19.74/13.33 tff(12922,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12923,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12924,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 19.74/13.33 tff(12925,plain,
% 19.74/13.33 (v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12924, 501, 12793])).
% 19.74/13.33 tff(12926,plain,
% 19.74/13.33 (~v123(constB98, bitIndex1)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12925, 12921])).
% 19.74/13.33 tff(12927,plain,
% 19.74/13.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12928,plain,
% 19.74/13.33 (((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1)) <=> ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12929,plain,
% 19.74/13.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98))))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12928])).
% 19.74/13.33 tff(12930,plain,
% 19.74/13.33 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12929, 12927])).
% 19.74/13.33 tff(12931,plain,
% 19.74/13.33 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12932,plain,
% 19.74/13.33 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 19.74/13.33 tff(12933,plain,
% 19.74/13.33 ((~v84(constB98, bitIndex1)) | (~v94(constB98))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12932, 516, 12926])).
% 19.74/13.33 tff(12934,plain,
% 19.74/13.33 (~v84(constB98, bitIndex1)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12933, 12827])).
% 19.74/13.33 tff(12935,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12936,plain,
% 19.74/13.33 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1))) <=> (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12937,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1))))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12936])).
% 19.74/13.33 tff(12938,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12937, 12935])).
% 19.74/13.33 tff(12939,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12940,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1))),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12939, 12938])).
% 19.74/13.33 tff(12941,plain,
% 19.74/13.33 (v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12940, 142, 12885])).
% 19.74/13.33 tff(12942,plain,
% 19.74/13.33 (v84(constB98, bitIndex1) | (~v84(constB99, bitIndex1))),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12941, 12897])).
% 19.74/13.33 tff(12943,plain,
% 19.74/13.33 (~v84(constB99, bitIndex1)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12942, 12934])).
% 19.74/13.33 tff(12944,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | v124(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | v124(constB97, bitIndex0))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12945,plain,
% 19.74/13.33 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | v124(constB97, bitIndex0)) <=> (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | v124(constB97, bitIndex0))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12946,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | v124(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | v124(constB97, bitIndex0)))),
% 19.74/13.33 inference(monotonicity,[status(thm)],[12945])).
% 19.74/13.33 tff(12947,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | v124(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | v124(constB97, bitIndex0))),
% 19.74/13.33 inference(transitivity,[status(thm)],[12946, 12944])).
% 19.74/13.33 tff(12948,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | v124(constB97, bitIndex0))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12949,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v116(constB97) | v118(constB97) | v145(constB97) | v115(constB97) | v172(constB97) | v113(constB97) | v124(constB97, bitIndex0)),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12948, 12947])).
% 19.74/13.33 tff(12950,plain,
% 19.74/13.33 (v124(constB97, bitIndex0)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12949, 2149, 12851, 12847, 12843, 12839, 12835, 12831])).
% 19.74/13.33 tff(12951,plain,
% 19.74/13.33 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB97) | (~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB97) | (~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12952,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB97) | (~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12953,plain,
% 19.74/13.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB97) | (~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0)),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12952, 12951])).
% 19.74/13.33 tff(12954,plain,
% 19.74/13.33 ((~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12953, 557, 12781])).
% 19.74/13.33 tff(12955,plain,
% 19.74/13.33 (v121(constB97, bitIndex0)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12954, 12950])).
% 19.74/13.33 tff(12956,plain,
% 19.74/13.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0))),
% 19.74/13.33 inference(rewrite,[status(thm)],[])).
% 19.74/13.33 tff(12957,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0))),
% 19.74/13.33 inference(quant_inst,[status(thm)],[])).
% 19.74/13.33 tff(12958,plain,
% 19.74/13.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0)),
% 19.74/13.33 inference(modus_ponens,[status(thm)],[12957, 12956])).
% 19.74/13.33 tff(12959,plain,
% 19.74/13.33 ((~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12958, 572, 12793])).
% 19.74/13.33 tff(12960,plain,
% 19.74/13.33 (v123(constB98, bitIndex0)),
% 19.74/13.33 inference(unit_resolution,[status(thm)],[12959, 12955])).
% 19.74/13.33 tff(12961,plain,
% 19.74/13.33 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12962,plain,
% 19.74/13.34 ((v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0))) <=> (v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12963,plain,
% 19.74/13.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98))))),
% 19.74/13.34 inference(monotonicity,[status(thm)],[12962])).
% 19.74/13.34 tff(12964,plain,
% 19.74/13.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98)))),
% 19.74/13.34 inference(transitivity,[status(thm)],[12963, 12961])).
% 19.74/13.34 tff(12965,plain,
% 19.74/13.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(12966,plain,
% 19.74/13.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[12965, 12964])).
% 19.74/13.34 tff(12967,plain,
% 19.74/13.34 (v84(constB98, bitIndex0) | (~v94(constB98))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12966, 587, 12960])).
% 19.74/13.34 tff(12968,plain,
% 19.74/13.34 (v84(constB98, bitIndex0)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12967, 12827])).
% 19.74/13.34 tff(12969,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12970,plain,
% 19.74/13.34 (((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0)) <=> ((~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12971,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0)))),
% 19.74/13.34 inference(monotonicity,[status(thm)],[12970])).
% 19.74/13.34 tff(12972,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0))),
% 19.74/13.34 inference(transitivity,[status(thm)],[12971, 12969])).
% 19.74/13.34 tff(12973,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(12974,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[12973, 12972])).
% 19.74/13.34 tff(12975,plain,
% 19.74/13.34 ((~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12974, 605, 12885])).
% 19.74/13.34 tff(12976,plain,
% 19.74/13.34 ((~v84(constB98, bitIndex0)) | v84(constB99, bitIndex0)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12975, 12897])).
% 19.74/13.34 tff(12977,plain,
% 19.74/13.34 (v84(constB99, bitIndex0)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12976, 12968])).
% 19.74/13.34 tff(12978,plain,
% 19.74/13.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12979,plain,
% 19.74/13.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(12980,plain,
% 19.74/13.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[12979, 12978])).
% 19.74/13.34 tff(12981,plain,
% 19.74/13.34 (v145(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12980, 624, 12977, 12943, 12906])).
% 19.74/13.34 tff(12982,plain,
% 19.74/13.34 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB99)) | (~v124(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB99)) | (~v124(constB99, bitIndex0)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12983,plain,
% 19.74/13.34 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB99)) | (~v124(constB99, bitIndex0)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(12984,plain,
% 19.74/13.34 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB99)) | (~v124(constB99, bitIndex0))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[12983, 12982])).
% 19.74/13.34 tff(12985,plain,
% 19.74/13.34 (~v124(constB99, bitIndex0)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12984, 871, 12981])).
% 19.74/13.34 tff(12986,assumption,(v26(constB99)), introduced(assumption)).
% 19.74/13.34 tff(12987,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(12988,plain,
% 19.74/13.34 ($false),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12987, 18, 12986])).
% 19.74/13.34 tff(12989,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.34 tff(12990,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12991,plain,
% 19.74/13.34 ((v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0))) <=> ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12992,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0)))),
% 19.74/13.34 inference(monotonicity,[status(thm)],[12991])).
% 19.74/13.34 tff(12993,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 19.74/13.34 inference(transitivity,[status(thm)],[12992, 12990])).
% 19.74/13.34 tff(12994,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(12995,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[12994, 12993])).
% 19.74/13.34 tff(12996,plain,
% 19.74/13.34 ((~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12995, 885, 12989])).
% 19.74/13.34 tff(12997,plain,
% 19.74/13.34 (~v121(constB99, bitIndex0)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[12996, 12985])).
% 19.74/13.34 tff(12998,plain,
% 19.74/13.34 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(12999,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 19.74/13.34 tff(13000,plain,
% 19.74/13.34 (nextState(constB99, constB100)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[12999, 12998])).
% 19.74/13.34 tff(13001,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13002,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13003,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13002, 13001])).
% 19.74/13.34 tff(13004,plain,
% 19.74/13.34 (v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13003, 903, 13000])).
% 19.74/13.34 tff(13005,plain,
% 19.74/13.34 (~v123(constB100, bitIndex0)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13004, 12997])).
% 19.74/13.34 tff(13006,assumption,(v145(constB99)), introduced(assumption)).
% 19.74/13.34 tff(13007,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB99) | (~v145(constB99)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB99) | (~v145(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13008,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB99) | (~v145(constB99)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13009,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB99) | (~v145(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13008, 13007])).
% 19.74/13.34 tff(13010,plain,
% 19.74/13.34 (v112(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13009, 681, 13006])).
% 19.74/13.34 tff(13011,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB99) | (~v112(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13012,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB99) | (~v112(constB99)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13013,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB99) | (~v112(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13012, 13011])).
% 19.74/13.34 tff(13014,plain,
% 19.74/13.34 (v111(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13013, 206, 13010])).
% 19.74/13.34 tff(13015,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB99) | (~v111(constB99)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB99) | (~v111(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13016,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB99) | (~v111(constB99)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13017,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB99) | (~v111(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 19.74/13.34 tff(13018,plain,
% 19.74/13.34 (v110(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13017, 217, 13014])).
% 19.74/13.34 tff(13019,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB99) | (~v110(constB99)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB99) | (~v110(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13020,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB99) | (~v110(constB99)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13021,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB99) | (~v110(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13020, 13019])).
% 19.74/13.34 tff(13022,plain,
% 19.74/13.34 (v109(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13021, 228, 13018])).
% 19.74/13.34 tff(13023,plain,
% 19.74/13.34 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB99)) | v124(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB99)) | v124(constB99, bitIndex1))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13024,plain,
% 19.74/13.34 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB99)) | v124(constB99, bitIndex1))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13025,plain,
% 19.74/13.34 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB99)) | v124(constB99, bitIndex1)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13024, 13023])).
% 19.74/13.34 tff(13026,plain,
% 19.74/13.34 (v124(constB99, bitIndex1)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13025, 790, 13006])).
% 19.74/13.34 tff(13027,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13028,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13029,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13028, 13027])).
% 19.74/13.34 tff(13030,plain,
% 19.74/13.34 ((~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13029, 804, 12989])).
% 19.74/13.34 tff(13031,plain,
% 19.74/13.34 (v121(constB99, bitIndex1)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13030, 13026])).
% 19.74/13.34 tff(13032,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13033,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13034,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 19.74/13.34 tff(13035,plain,
% 19.74/13.34 ((~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13034, 819, 13000])).
% 19.74/13.34 tff(13036,plain,
% 19.74/13.34 (v123(constB100, bitIndex1)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13035, 13031])).
% 19.74/13.34 tff(13037,assumption,(~v84(constB100, bitIndex1)), introduced(assumption)).
% 19.74/13.34 tff(13038,plain,
% 19.74/13.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13039,plain,
% 19.74/13.34 ((v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1))) <=> (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13040,plain,
% 19.74/13.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100))))),
% 19.74/13.34 inference(monotonicity,[status(thm)],[13039])).
% 19.74/13.34 tff(13041,plain,
% 19.74/13.34 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 19.74/13.34 inference(transitivity,[status(thm)],[13040, 13038])).
% 19.74/13.34 tff(13042,plain,
% 19.74/13.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13043,plain,
% 19.74/13.34 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13042, 13041])).
% 19.74/13.34 tff(13044,plain,
% 19.74/13.34 ((~v123(constB100, bitIndex1)) | (~v94(constB100))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13043, 834, 13037])).
% 19.74/13.34 tff(13045,plain,
% 19.74/13.34 (~v94(constB100)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13044, 13036])).
% 19.74/13.34 tff(13046,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13047,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13048,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13047, 13046])).
% 19.74/13.34 tff(13049,plain,
% 19.74/13.34 (~v98(constB100)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13048, 311, 13000, 12882])).
% 19.74/13.34 tff(13050,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13051,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13052,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13051, 13050])).
% 19.74/13.34 tff(13053,plain,
% 19.74/13.34 (v96(constB100) | v98(constB100)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13052, 325, 13000])).
% 19.74/13.34 tff(13054,plain,
% 19.74/13.34 (v96(constB100)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13053, 13049])).
% 19.74/13.34 tff(13055,plain,
% 19.74/13.34 (v1(constB100) <=> v1(constB100)),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13056,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 19.74/13.34 tff(13057,plain,
% 19.74/13.34 (v1(constB100)),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13056, 13055])).
% 19.74/13.34 tff(13058,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13059,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13060,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13059, 13058])).
% 19.74/13.34 tff(13061,plain,
% 19.74/13.34 (v95(constB100) | (~v96(constB100))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13060, 343, 13000, 13057])).
% 19.74/13.34 tff(13062,plain,
% 19.74/13.34 (v95(constB100)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13061, 13054])).
% 19.74/13.34 tff(13063,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13064,plain,
% 19.74/13.34 (((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100)) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13065,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100))))),
% 19.74/13.34 inference(monotonicity,[status(thm)],[13064])).
% 19.74/13.34 tff(13066,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 19.74/13.34 inference(transitivity,[status(thm)],[13065, 13063])).
% 19.74/13.34 tff(13067,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13068,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13067, 13066])).
% 19.74/13.34 tff(13069,plain,
% 19.74/13.34 (v94(constB100) | (~v95(constB100)) | (~v104(constB100))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13068, 358, 13000])).
% 19.74/13.34 tff(13070,plain,
% 19.74/13.34 (v94(constB100) | (~v104(constB100))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13069, 13062])).
% 19.74/13.34 tff(13071,plain,
% 19.74/13.34 (~v104(constB100)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13070, 13045])).
% 19.74/13.34 tff(13072,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13073,plain,
% 19.74/13.34 (((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13074,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))))),
% 19.74/13.34 inference(monotonicity,[status(thm)],[13073])).
% 19.74/13.34 tff(13075,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 19.74/13.34 inference(transitivity,[status(thm)],[13074, 13072])).
% 19.74/13.34 tff(13076,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13077,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13076, 13075])).
% 19.74/13.34 tff(13078,plain,
% 19.74/13.34 (v104(constB100) | (~v102(constB99))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13077, 293, 13000])).
% 19.74/13.34 tff(13079,plain,
% 19.74/13.34 (~v102(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13078, 13071])).
% 19.74/13.34 tff(13080,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB99) | (~v106(constB99)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB99) | (~v106(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13081,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB99) | (~v106(constB99)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13082,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB99) | (~v106(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 19.74/13.34 tff(13083,plain,
% 19.74/13.34 (~v106(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13082, 276, 13079])).
% 19.74/13.34 tff(13084,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13085,plain,
% 19.74/13.34 ((v26(constB99) | (~v107(constB99)) | v106(constB99)) <=> (v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13086,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99))))),
% 19.74/13.34 inference(monotonicity,[status(thm)],[13085])).
% 19.74/13.34 tff(13087,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 19.74/13.34 inference(transitivity,[status(thm)],[13086, 13084])).
% 19.74/13.34 tff(13088,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13089,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 19.74/13.34 tff(13090,plain,
% 19.74/13.34 (v106(constB99) | (~v107(constB99))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13089, 264, 12989])).
% 19.74/13.34 tff(13091,plain,
% 19.74/13.34 (~v107(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13090, 13083])).
% 19.74/13.34 tff(13092,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB99) | (~v108(constB99)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB99) | (~v108(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13093,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB99) | (~v108(constB99)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13094,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB99) | (~v108(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13093, 13092])).
% 19.74/13.34 tff(13095,plain,
% 19.74/13.34 (~v108(constB99)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13094, 250, 13091])).
% 19.74/13.34 tff(13096,plain,
% 19.74/13.34 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB99) | (~v109(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB99) | (~v109(constB99)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13097,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB99) | (~v109(constB99)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13098,plain,
% 19.74/13.34 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB99) | (~v109(constB99))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13097, 13096])).
% 19.74/13.34 tff(13099,plain,
% 19.74/13.34 ($false),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13098, 239, 13095, 13022])).
% 19.74/13.34 tff(13100,plain,((~v145(constB99)) | v84(constB100, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.34 tff(13101,plain,
% 19.74/13.34 (v84(constB100, bitIndex1)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13100, 12981])).
% 19.74/13.34 tff(13102,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13103,plain,
% 19.74/13.34 (((~nextState(constB99, constB100)) | v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1))) <=> (v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13104,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1))))),
% 19.74/13.34 inference(monotonicity,[status(thm)],[13103])).
% 19.74/13.34 tff(13105,plain,
% 19.74/13.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1)))),
% 19.74/13.34 inference(transitivity,[status(thm)],[13104, 13102])).
% 19.74/13.34 tff(13106,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB99, constB100)) | v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1)))),
% 19.74/13.34 inference(quant_inst,[status(thm)],[])).
% 19.74/13.34 tff(13107,plain,
% 19.74/13.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB99, bitIndex1) | (~nextState(constB99, constB100)) | v94(constB100) | (~v84(constB100, bitIndex1))),
% 19.74/13.34 inference(modus_ponens,[status(thm)],[13106, 13105])).
% 19.74/13.34 tff(13108,plain,
% 19.74/13.34 (v84(constB99, bitIndex1) | v94(constB100) | (~v84(constB100, bitIndex1))),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13107, 142, 13000])).
% 19.74/13.34 tff(13109,plain,
% 19.74/13.34 (v94(constB100)),
% 19.74/13.34 inference(unit_resolution,[status(thm)],[13108, 13101, 12943])).
% 19.74/13.34 tff(13110,plain,
% 19.74/13.34 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13111,plain,
% 19.74/13.34 (((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0)) <=> ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 19.74/13.34 inference(rewrite,[status(thm)],[])).
% 19.74/13.34 tff(13112,plain,
% 19.74/13.34 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100))))),
% 19.74/13.35 inference(monotonicity,[status(thm)],[13111])).
% 19.74/13.35 tff(13113,plain,
% 19.74/13.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 19.74/13.35 inference(transitivity,[status(thm)],[13112, 13110])).
% 19.74/13.35 tff(13114,plain,
% 19.74/13.35 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13115,plain,
% 19.74/13.35 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13114, 13113])).
% 19.74/13.35 tff(13116,plain,
% 19.74/13.35 ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13115, 918, 13109])).
% 19.74/13.35 tff(13117,plain,
% 19.74/13.35 (~v84(constB100, bitIndex0)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13116, 13005])).
% 19.74/13.35 tff(13118,plain,
% 19.74/13.35 ((~v1(constB101)) <=> (~v1(constB101))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13119,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 19.74/13.35 tff(13120,plain,
% 19.74/13.35 (~v1(constB101)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13119, 13118])).
% 19.74/13.35 tff(13121,plain,
% 19.74/13.35 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13122,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 19.74/13.35 tff(13123,plain,
% 19.74/13.35 (nextState(constB100, constB101)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13122, 13121])).
% 19.74/13.35 tff(13124,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13125,plain,
% 19.74/13.35 (((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13126,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))))),
% 19.74/13.35 inference(monotonicity,[status(thm)],[13125])).
% 19.74/13.35 tff(13127,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 19.74/13.35 inference(transitivity,[status(thm)],[13126, 13124])).
% 19.74/13.35 tff(13128,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13129,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13128, 13127])).
% 19.74/13.35 tff(13130,plain,
% 19.74/13.35 (~v95(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13129, 89, 13123, 13120])).
% 19.74/13.35 tff(13131,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13132,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13133,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13132, 13131])).
% 19.74/13.35 tff(13134,plain,
% 19.74/13.35 (v95(constB101) | (~v94(constB101))),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13133, 106, 13123])).
% 19.74/13.35 tff(13135,plain,
% 19.74/13.35 (~v94(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13134, 13130])).
% 19.74/13.35 tff(13136,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13137,plain,
% 19.74/13.35 (((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0))) <=> (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13138,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0))))),
% 19.74/13.35 inference(monotonicity,[status(thm)],[13137])).
% 19.74/13.35 tff(13139,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 19.74/13.35 inference(transitivity,[status(thm)],[13138, 13136])).
% 19.74/13.35 tff(13140,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13141,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 19.74/13.35 tff(13142,plain,
% 19.74/13.35 (v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0))),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13141, 163, 13123])).
% 19.74/13.35 tff(13143,plain,
% 19.74/13.35 (v84(constB100, bitIndex0) | (~v84(constB101, bitIndex0))),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13142, 13135])).
% 19.74/13.35 tff(13144,plain,
% 19.74/13.35 (~v84(constB101, bitIndex0)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13143, 13117])).
% 19.74/13.35 tff(13145,plain,
% 19.74/13.35 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB99)) | (~v124(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB99)) | (~v124(constB99, bitIndex2)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13146,plain,
% 19.74/13.35 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB99)) | (~v124(constB99, bitIndex2)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13147,plain,
% 19.74/13.35 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB99)) | (~v124(constB99, bitIndex2))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13146, 13145])).
% 19.74/13.35 tff(13148,plain,
% 19.74/13.35 (~v124(constB99, bitIndex2)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13147, 638, 12981])).
% 19.74/13.35 tff(13149,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13150,plain,
% 19.74/13.35 ((v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2))) <=> ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13151,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2)))),
% 19.74/13.35 inference(monotonicity,[status(thm)],[13150])).
% 19.74/13.35 tff(13152,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 19.74/13.35 inference(transitivity,[status(thm)],[13151, 13149])).
% 19.74/13.35 tff(13153,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13154,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13153, 13152])).
% 19.74/13.35 tff(13155,plain,
% 19.74/13.35 ((~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13154, 391, 12989])).
% 19.74/13.35 tff(13156,plain,
% 19.74/13.35 (~v121(constB99, bitIndex2)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13155, 13148])).
% 19.74/13.35 tff(13157,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13158,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13159,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13158, 13157])).
% 19.74/13.35 tff(13160,plain,
% 19.74/13.35 (v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2))),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13159, 409, 13000])).
% 19.74/13.35 tff(13161,plain,
% 19.74/13.35 (~v123(constB100, bitIndex2)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13160, 13156])).
% 19.74/13.35 tff(13162,plain,
% 19.74/13.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13163,plain,
% 19.74/13.35 (((~v84(constB100, bitIndex2)) | (~v94(constB100)) | v123(constB100, bitIndex2)) <=> ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13164,plain,
% 19.74/13.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | (~v94(constB100)) | v123(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100))))),
% 19.74/13.35 inference(monotonicity,[status(thm)],[13163])).
% 19.74/13.35 tff(13165,plain,
% 19.74/13.35 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | (~v94(constB100)) | v123(constB100, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 19.74/13.35 inference(transitivity,[status(thm)],[13164, 13162])).
% 19.74/13.35 tff(13166,plain,
% 19.74/13.35 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | (~v94(constB100)) | v123(constB100, bitIndex2))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13167,plain,
% 19.74/13.35 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13166, 13165])).
% 19.74/13.35 tff(13168,plain,
% 19.74/13.35 ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13167, 424, 13109])).
% 19.74/13.35 tff(13169,plain,
% 19.74/13.35 (~v84(constB100, bitIndex2)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13168, 13161])).
% 19.74/13.35 tff(13170,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13171,plain,
% 19.74/13.35 (((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2))) <=> (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13172,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2))))),
% 19.74/13.35 inference(monotonicity,[status(thm)],[13171])).
% 19.74/13.35 tff(13173,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 19.74/13.35 inference(transitivity,[status(thm)],[13172, 13170])).
% 19.74/13.35 tff(13174,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13175,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13174, 13173])).
% 19.74/13.35 tff(13176,plain,
% 19.74/13.35 (v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2))),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13175, 121, 13123])).
% 19.74/13.35 tff(13177,plain,
% 19.74/13.35 (v84(constB100, bitIndex2) | (~v84(constB101, bitIndex2))),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13176, 13135])).
% 19.74/13.35 tff(13178,plain,
% 19.74/13.35 (~v84(constB101, bitIndex2)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13177, 13169])).
% 19.74/13.35 tff(13179,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13180,plain,
% 19.74/13.35 (((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1)) <=> ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13181,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1)))),
% 19.74/13.35 inference(monotonicity,[status(thm)],[13180])).
% 19.74/13.35 tff(13182,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 19.74/13.35 inference(transitivity,[status(thm)],[13181, 13179])).
% 19.74/13.35 tff(13183,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13184,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13183, 13182])).
% 19.74/13.35 tff(13185,plain,
% 19.74/13.35 ((~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13184, 852, 13123])).
% 19.74/13.35 tff(13186,plain,
% 19.74/13.35 ((~v84(constB100, bitIndex1)) | v84(constB101, bitIndex1)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13185, 13135])).
% 19.74/13.35 tff(13187,plain,
% 19.74/13.35 (v84(constB101, bitIndex1)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13186, 13101])).
% 19.74/13.35 tff(13188,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13189,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13190,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13189, 13188])).
% 19.74/13.35 tff(13191,plain,
% 19.74/13.35 (v84(constB101, bitIndex0) | v84(constB101, bitIndex2) | v115(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13190, 945, 13187])).
% 19.74/13.35 tff(13192,plain,
% 19.74/13.35 (v115(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13191, 13178, 13144])).
% 19.74/13.35 tff(13193,plain,
% 19.74/13.35 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB101)) | v124(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB101)) | v124(constB101, bitIndex0))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13194,plain,
% 19.74/13.35 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB101)) | v124(constB101, bitIndex0))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13195,plain,
% 19.74/13.35 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB101)) | v124(constB101, bitIndex0)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13194, 13193])).
% 19.74/13.35 tff(13196,plain,
% 19.74/13.35 (v124(constB101, bitIndex0)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13195, 1135, 13192])).
% 19.74/13.35 tff(13197,assumption,(v26(constB101)), introduced(assumption)).
% 19.74/13.35 tff(13198,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13199,plain,
% 19.74/13.35 ($false),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13198, 18, 13197])).
% 19.74/13.35 tff(13200,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.35 tff(13201,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB101) | (~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB101) | (~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13202,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB101) | (~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13203,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB101) | (~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13202, 13201])).
% 19.74/13.35 tff(13204,plain,
% 19.74/13.35 ((~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13203, 557, 13200])).
% 19.74/13.35 tff(13205,plain,
% 19.74/13.35 (v121(constB101, bitIndex0)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13204, 13196])).
% 19.74/13.35 tff(13206,plain,
% 19.74/13.35 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13207,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 19.74/13.35 tff(13208,plain,
% 19.74/13.35 (nextState(constB101, constB102)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 19.74/13.35 tff(13209,plain,
% 19.74/13.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13210,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13211,plain,
% 19.74/13.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0)),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13210, 13209])).
% 19.74/13.35 tff(13212,plain,
% 19.74/13.35 ((~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13211, 572, 13208])).
% 19.74/13.35 tff(13213,plain,
% 19.74/13.35 (v123(constB102, bitIndex0)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13212, 13205])).
% 19.74/13.35 tff(13214,assumption,(~v107(constB101)), introduced(assumption)).
% 19.74/13.35 tff(13215,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB101) | (~v108(constB101)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB101) | (~v108(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13216,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB101) | (~v108(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13217,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB101) | (~v108(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 19.74/13.35 tff(13218,plain,
% 19.74/13.35 (~v108(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13217, 250, 13214])).
% 19.74/13.35 tff(13219,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB101) | (~v109(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB101) | (~v109(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13220,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB101) | (~v109(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13221,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB101) | (~v109(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 19.74/13.35 tff(13222,plain,
% 19.74/13.35 (~v109(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13221, 239, 13218])).
% 19.74/13.35 tff(13223,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB101) | (~v110(constB101)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB101) | (~v110(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13224,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB101) | (~v110(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13225,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB101) | (~v110(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 19.74/13.35 tff(13226,plain,
% 19.74/13.35 (~v110(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13225, 228, 13222])).
% 19.74/13.35 tff(13227,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB101) | (~v111(constB101)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB101) | (~v111(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13228,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB101) | (~v111(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13229,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB101) | (~v111(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 19.74/13.35 tff(13230,plain,
% 19.74/13.35 (~v111(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13229, 217, 13226])).
% 19.74/13.35 tff(13231,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB101) | (~v115(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13232,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB101) | (~v115(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13233,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB101) | (~v115(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 19.74/13.35 tff(13234,plain,
% 19.74/13.35 (~v115(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13233, 956, 13230])).
% 19.74/13.35 tff(13235,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB101) | (~v172(constB101)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB101) | (~v172(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13236,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB101) | (~v172(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13237,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB101) | (~v172(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 19.74/13.35 tff(13238,plain,
% 19.74/13.35 (~v172(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13237, 1457, 13222])).
% 19.74/13.35 tff(13239,assumption,(~v84(constB101, bitIndex0)), introduced(assumption)).
% 19.74/13.35 tff(13240,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB101) | (~v112(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13241,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB101) | (~v112(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13242,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB101) | (~v112(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13241, 13240])).
% 19.74/13.35 tff(13243,plain,
% 19.74/13.35 (~v112(constB101)),
% 19.74/13.35 inference(unit_resolution,[status(thm)],[13242, 206, 13230])).
% 19.74/13.35 tff(13244,plain,
% 19.74/13.35 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB101) | (~v113(constB101)))),
% 19.74/13.35 inference(rewrite,[status(thm)],[])).
% 19.74/13.35 tff(13245,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB101) | (~v113(constB101)))),
% 19.74/13.35 inference(quant_inst,[status(thm)],[])).
% 19.74/13.35 tff(13246,plain,
% 19.74/13.35 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB101) | (~v113(constB101))),
% 19.74/13.35 inference(modus_ponens,[status(thm)],[13245, 13244])).
% 19.74/13.35 tff(13247,plain,
% 19.74/13.35 (~v113(constB101)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13246, 195, 13243])).
% 19.74/13.36 tff(13248,assumption,(~v113(constB101)), introduced(assumption)).
% 19.74/13.36 tff(13249,assumption,(~v84(constB101, bitIndex1)), introduced(assumption)).
% 19.74/13.36 tff(13250,assumption,(~v172(constB101)), introduced(assumption)).
% 19.74/13.36 tff(13251,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13252,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13253,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 19.74/13.36 tff(13254,plain,
% 19.74/13.36 (v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13253, 1446, 13239])).
% 19.74/13.36 tff(13255,plain,
% 19.74/13.36 (~v84(constB101, bitIndex2)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13254, 13249, 13250])).
% 19.74/13.36 tff(13256,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13257,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13258,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13257, 13256])).
% 19.74/13.36 tff(13259,plain,
% 19.74/13.36 (v113(constB101) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13258, 184, 13239])).
% 19.74/13.36 tff(13260,plain,
% 19.74/13.36 ($false),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13259, 13255, 13249, 13248])).
% 19.74/13.36 tff(13261,plain,(v84(constB101, bitIndex1) | v113(constB101) | v84(constB101, bitIndex0) | v172(constB101)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.36 tff(13262,plain,
% 19.74/13.36 (v84(constB101, bitIndex1)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13261, 13247, 13239, 13238])).
% 19.74/13.36 tff(13263,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB101) | (~v119(constB101)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB101) | (~v119(constB101)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13264,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB101) | (~v119(constB101)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13265,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB101) | (~v119(constB101))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13264, 13263])).
% 19.74/13.36 tff(13266,plain,
% 19.74/13.36 (~v119(constB101)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13265, 1905, 13214])).
% 19.74/13.36 tff(13267,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13268,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13269,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13268, 13267])).
% 19.74/13.36 tff(13270,plain,
% 19.74/13.36 ((~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13269, 1894, 13239])).
% 19.74/13.36 tff(13271,plain,
% 19.74/13.36 (~v84(constB101, bitIndex2)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13270, 13262, 13266])).
% 19.74/13.36 tff(13272,plain,
% 19.74/13.36 ((~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13190, 945, 13239])).
% 19.74/13.36 tff(13273,plain,
% 19.74/13.36 ($false),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13272, 13271, 13262, 13234])).
% 19.74/13.36 tff(13274,plain,(v107(constB101) | v84(constB101, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.36 tff(13275,plain,
% 19.74/13.36 (v107(constB101)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13274, 13144])).
% 19.74/13.36 tff(13276,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13277,plain,
% 19.74/13.36 ((v26(constB101) | (~v107(constB101)) | v106(constB101)) <=> (v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13278,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101))))),
% 19.74/13.36 inference(monotonicity,[status(thm)],[13277])).
% 19.74/13.36 tff(13279,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 19.74/13.36 inference(transitivity,[status(thm)],[13278, 13276])).
% 19.74/13.36 tff(13280,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13281,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13280, 13279])).
% 19.74/13.36 tff(13282,plain,
% 19.74/13.36 (v106(constB101) | (~v107(constB101))),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13281, 264, 13200])).
% 19.74/13.36 tff(13283,plain,
% 19.74/13.36 (v106(constB101)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13282, 13275])).
% 19.74/13.36 tff(13284,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB101) | (~v106(constB101)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB101) | (~v106(constB101)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13285,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB101) | (~v106(constB101)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13286,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB101) | (~v106(constB101))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13285, 13284])).
% 19.74/13.36 tff(13287,plain,
% 19.74/13.36 (v102(constB101)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13286, 276, 13283])).
% 19.74/13.36 tff(13288,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13289,plain,
% 19.74/13.36 (((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13290,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))))),
% 19.74/13.36 inference(monotonicity,[status(thm)],[13289])).
% 19.74/13.36 tff(13291,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 19.74/13.36 inference(transitivity,[status(thm)],[13290, 13288])).
% 19.74/13.36 tff(13292,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13293,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13292, 13291])).
% 19.74/13.36 tff(13294,plain,
% 19.74/13.36 (v104(constB102) | (~v102(constB101))),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13293, 293, 13208])).
% 19.74/13.36 tff(13295,plain,
% 19.74/13.36 (v104(constB102)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13294, 13287])).
% 19.74/13.36 tff(13296,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13297,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13298,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13297, 13296])).
% 19.74/13.36 tff(13299,plain,
% 19.74/13.36 (~v98(constB102)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13298, 311, 13208, 13120])).
% 19.74/13.36 tff(13300,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13301,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13302,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13301, 13300])).
% 19.74/13.36 tff(13303,plain,
% 19.74/13.36 (v96(constB102) | v98(constB102)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13302, 325, 13208])).
% 19.74/13.36 tff(13304,plain,
% 19.74/13.36 (v96(constB102)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13303, 13299])).
% 19.74/13.36 tff(13305,plain,
% 19.74/13.36 (v1(constB102) <=> v1(constB102)),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13306,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 19.74/13.36 tff(13307,plain,
% 19.74/13.36 (v1(constB102)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13306, 13305])).
% 19.74/13.36 tff(13308,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13309,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13310,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13309, 13308])).
% 19.74/13.36 tff(13311,plain,
% 19.74/13.36 (v95(constB102) | (~v96(constB102))),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13310, 343, 13208, 13307])).
% 19.74/13.36 tff(13312,plain,
% 19.74/13.36 (v95(constB102)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13311, 13304])).
% 19.74/13.36 tff(13313,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13314,plain,
% 19.74/13.36 (((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102)) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13315,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102))))),
% 19.74/13.36 inference(monotonicity,[status(thm)],[13314])).
% 19.74/13.36 tff(13316,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 19.74/13.36 inference(transitivity,[status(thm)],[13315, 13313])).
% 19.74/13.36 tff(13317,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13318,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13317, 13316])).
% 19.74/13.36 tff(13319,plain,
% 19.74/13.36 (v94(constB102) | (~v95(constB102)) | (~v104(constB102))),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13318, 358, 13208])).
% 19.74/13.36 tff(13320,plain,
% 19.74/13.36 (v94(constB102) | (~v104(constB102))),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13319, 13312])).
% 19.74/13.36 tff(13321,plain,
% 19.74/13.36 (v94(constB102)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13320, 13295])).
% 19.74/13.36 tff(13322,plain,
% 19.74/13.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13323,plain,
% 19.74/13.36 ((v84(constB102, bitIndex0) | (~v94(constB102)) | (~v123(constB102, bitIndex0))) <=> (v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13324,plain,
% 19.74/13.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v94(constB102)) | (~v123(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102))))),
% 19.74/13.36 inference(monotonicity,[status(thm)],[13323])).
% 19.74/13.36 tff(13325,plain,
% 19.74/13.36 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v94(constB102)) | (~v123(constB102, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102)))),
% 19.74/13.36 inference(transitivity,[status(thm)],[13324, 13322])).
% 19.74/13.36 tff(13326,plain,
% 19.74/13.36 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v94(constB102)) | (~v123(constB102, bitIndex0)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13327,plain,
% 19.74/13.36 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13326, 13325])).
% 19.74/13.36 tff(13328,plain,
% 19.74/13.36 (v84(constB102, bitIndex0)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13327, 587, 13321, 13213])).
% 19.74/13.36 tff(13329,plain,
% 19.74/13.36 ((~v1(constB103)) <=> (~v1(constB103))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13330,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 19.74/13.36 tff(13331,plain,
% 19.74/13.36 (~v1(constB103)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13330, 13329])).
% 19.74/13.36 tff(13332,plain,
% 19.74/13.36 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13333,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 19.74/13.36 tff(13334,plain,
% 19.74/13.36 (nextState(constB102, constB103)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13333, 13332])).
% 19.74/13.36 tff(13335,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13336,plain,
% 19.74/13.36 (((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13337,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))))),
% 19.74/13.36 inference(monotonicity,[status(thm)],[13336])).
% 19.74/13.36 tff(13338,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 19.74/13.36 inference(transitivity,[status(thm)],[13337, 13335])).
% 19.74/13.36 tff(13339,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13340,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13339, 13338])).
% 19.74/13.36 tff(13341,plain,
% 19.74/13.36 (~v95(constB103)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13340, 89, 13334, 13331])).
% 19.74/13.36 tff(13342,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13343,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13344,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13343, 13342])).
% 19.74/13.36 tff(13345,plain,
% 19.74/13.36 (v95(constB103) | (~v94(constB103))),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13344, 106, 13334])).
% 19.74/13.36 tff(13346,plain,
% 19.74/13.36 (~v94(constB103)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13345, 13341])).
% 19.74/13.36 tff(13347,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13348,plain,
% 19.74/13.36 (((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0)) <=> ((~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13349,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0)))),
% 19.74/13.36 inference(monotonicity,[status(thm)],[13348])).
% 19.74/13.36 tff(13350,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0))),
% 19.74/13.36 inference(transitivity,[status(thm)],[13349, 13347])).
% 19.74/13.36 tff(13351,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13352,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13351, 13350])).
% 19.74/13.36 tff(13353,plain,
% 19.74/13.36 ((~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13352, 605, 13334])).
% 19.74/13.36 tff(13354,plain,
% 19.74/13.36 ((~v84(constB102, bitIndex0)) | v84(constB103, bitIndex0)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13353, 13346])).
% 19.74/13.36 tff(13355,plain,
% 19.74/13.36 (v84(constB103, bitIndex0)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13354, 13328])).
% 19.74/13.36 tff(13356,plain,
% 19.74/13.36 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB101)) | (~v124(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB101)) | (~v124(constB101, bitIndex2)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13357,plain,
% 19.74/13.36 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB101)) | (~v124(constB101, bitIndex2)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13358,plain,
% 19.74/13.36 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB101)) | (~v124(constB101, bitIndex2))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 19.74/13.36 tff(13359,plain,
% 19.74/13.36 (~v124(constB101, bitIndex2)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13358, 1032, 13192])).
% 19.74/13.36 tff(13360,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13361,plain,
% 19.74/13.36 ((v26(constB101) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2))) <=> ((~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13362,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB101) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2)))),
% 19.74/13.36 inference(monotonicity,[status(thm)],[13361])).
% 19.74/13.36 tff(13363,plain,
% 19.74/13.36 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB101) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2))),
% 19.74/13.36 inference(transitivity,[status(thm)],[13362, 13360])).
% 19.74/13.36 tff(13364,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB101) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13365,plain,
% 19.74/13.36 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2)),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13364, 13363])).
% 19.74/13.36 tff(13366,plain,
% 19.74/13.36 ((~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13365, 391, 13200])).
% 19.74/13.36 tff(13367,plain,
% 19.74/13.36 (~v121(constB101, bitIndex2)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13366, 13359])).
% 19.74/13.36 tff(13368,plain,
% 19.74/13.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13369,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2)))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13370,plain,
% 19.74/13.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2))),
% 19.74/13.36 inference(modus_ponens,[status(thm)],[13369, 13368])).
% 19.74/13.36 tff(13371,plain,
% 19.74/13.36 (v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2))),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13370, 409, 13208])).
% 19.74/13.36 tff(13372,plain,
% 19.74/13.36 (~v123(constB102, bitIndex2)),
% 19.74/13.36 inference(unit_resolution,[status(thm)],[13371, 13367])).
% 19.74/13.36 tff(13373,plain,
% 19.74/13.36 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13374,plain,
% 19.74/13.36 (((~v84(constB102, bitIndex2)) | (~v94(constB102)) | v123(constB102, bitIndex2)) <=> ((~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102)))),
% 19.74/13.36 inference(rewrite,[status(thm)],[])).
% 19.74/13.36 tff(13375,plain,
% 19.74/13.36 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | (~v94(constB102)) | v123(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102))))),
% 19.74/13.36 inference(monotonicity,[status(thm)],[13374])).
% 19.74/13.36 tff(13376,plain,
% 19.74/13.36 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | (~v94(constB102)) | v123(constB102, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102)))),
% 19.74/13.36 inference(transitivity,[status(thm)],[13375, 13373])).
% 19.74/13.36 tff(13377,plain,
% 19.74/13.36 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB102, bitIndex2)) | (~v94(constB102)) | v123(constB102, bitIndex2))),
% 19.74/13.36 inference(quant_inst,[status(thm)],[])).
% 19.74/13.36 tff(13378,plain,
% 19.74/13.37 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13377, 13376])).
% 19.74/13.37 tff(13379,plain,
% 19.74/13.37 (~v84(constB102, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13378, 424, 13321, 13372])).
% 19.74/13.37 tff(13380,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13381,plain,
% 19.74/13.37 (((~nextState(constB102, constB103)) | v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2))) <=> (v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13382,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2))))),
% 19.74/13.37 inference(monotonicity,[status(thm)],[13381])).
% 19.74/13.37 tff(13383,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2)))),
% 19.74/13.37 inference(transitivity,[status(thm)],[13382, 13380])).
% 19.74/13.37 tff(13384,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13385,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13384, 13383])).
% 19.74/13.37 tff(13386,plain,
% 19.74/13.37 (v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2))),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13385, 121, 13334])).
% 19.74/13.37 tff(13387,plain,
% 19.74/13.37 (v84(constB102, bitIndex2) | (~v84(constB103, bitIndex2))),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13386, 13346])).
% 19.74/13.37 tff(13388,plain,
% 19.74/13.37 (~v84(constB103, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13387, 13379])).
% 19.74/13.37 tff(13389,assumption,(~v84(constB102, bitIndex1)), introduced(assumption)).
% 19.74/13.37 tff(13390,plain,
% 19.74/13.37 (v84(constB100, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13100, 13006])).
% 19.74/13.37 tff(13391,plain,
% 19.74/13.37 (v84(constB101, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13186, 13390])).
% 19.74/13.37 tff(13392,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v94(constB102) | v84(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v94(constB102) | v84(constB102, bitIndex1))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13393,plain,
% 19.74/13.37 (((~nextState(constB101, constB102)) | (~v84(constB101, bitIndex1)) | v94(constB102) | v84(constB102, bitIndex1)) <=> ((~v84(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v94(constB102) | v84(constB102, bitIndex1))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13394,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v84(constB101, bitIndex1)) | v94(constB102) | v84(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v94(constB102) | v84(constB102, bitIndex1)))),
% 19.74/13.37 inference(monotonicity,[status(thm)],[13393])).
% 19.74/13.37 tff(13395,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v84(constB101, bitIndex1)) | v94(constB102) | v84(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v94(constB102) | v84(constB102, bitIndex1))),
% 19.74/13.37 inference(transitivity,[status(thm)],[13394, 13392])).
% 19.74/13.37 tff(13396,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v84(constB101, bitIndex1)) | v94(constB102) | v84(constB102, bitIndex1))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13397,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB101, bitIndex1)) | (~nextState(constB101, constB102)) | v94(constB102) | v84(constB102, bitIndex1)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13396, 13395])).
% 19.74/13.37 tff(13398,plain,
% 19.74/13.37 ((~v84(constB101, bitIndex1)) | v94(constB102) | v84(constB102, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13397, 852, 13208])).
% 19.74/13.37 tff(13399,plain,
% 19.74/13.37 (v94(constB102)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13398, 13391, 13389])).
% 19.74/13.37 tff(13400,plain,
% 19.74/13.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13401,plain,
% 19.74/13.37 ((v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1))) <=> (v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13402,plain,
% 19.74/13.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102))))),
% 19.74/13.37 inference(monotonicity,[status(thm)],[13401])).
% 19.74/13.37 tff(13403,plain,
% 19.74/13.37 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102)))),
% 19.74/13.37 inference(transitivity,[status(thm)],[13402, 13400])).
% 19.74/13.37 tff(13404,plain,
% 19.74/13.37 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13405,plain,
% 19.74/13.37 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13404, 13403])).
% 19.74/13.37 tff(13406,plain,
% 19.74/13.37 ((~v123(constB102, bitIndex1)) | (~v94(constB102))),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13405, 834, 13389])).
% 19.74/13.37 tff(13407,plain,
% 19.74/13.37 (~v123(constB102, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13406, 13399])).
% 19.74/13.37 tff(13408,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13409,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13410,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 19.74/13.37 tff(13411,plain,
% 19.74/13.37 ((~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13410, 819, 13208])).
% 19.74/13.37 tff(13412,plain,
% 19.74/13.37 (~v121(constB101, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13411, 13407])).
% 19.74/13.37 tff(13413,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB101) | (~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB101) | (~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13414,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB101) | (~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13415,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB101) | (~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13414, 13413])).
% 19.74/13.37 tff(13416,plain,
% 19.74/13.37 ((~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13415, 804, 13200])).
% 19.74/13.37 tff(13417,plain,
% 19.74/13.37 (~v124(constB101, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13416, 13412])).
% 19.74/13.37 tff(13418,plain,
% 19.74/13.37 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB101)) | v124(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB101)) | v124(constB101, bitIndex1))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13419,plain,
% 19.74/13.37 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB101)) | v124(constB101, bitIndex1))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13420,plain,
% 19.74/13.37 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB101)) | v124(constB101, bitIndex1)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13419, 13418])).
% 19.74/13.37 tff(13421,plain,
% 19.74/13.37 (~v115(constB101)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13420, 1094, 13417])).
% 19.74/13.37 tff(13422,plain,
% 19.74/13.37 (~v124(constB99, bitIndex0)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[12984, 871, 13006])).
% 19.74/13.37 tff(13423,plain,
% 19.74/13.37 (~v121(constB99, bitIndex0)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[12996, 13422])).
% 19.74/13.37 tff(13424,plain,
% 19.74/13.37 (~v123(constB100, bitIndex0)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13004, 13423])).
% 19.74/13.37 tff(13425,assumption,(~v84(constB99, bitIndex1)), introduced(assumption)).
% 19.74/13.37 tff(13426,plain,
% 19.74/13.37 (v94(constB100)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13108, 13390, 13425])).
% 19.74/13.37 tff(13427,plain,
% 19.74/13.37 ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13115, 918, 13426])).
% 19.74/13.37 tff(13428,plain,
% 19.74/13.37 (~v84(constB100, bitIndex0)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13427, 13424])).
% 19.74/13.37 tff(13429,plain,
% 19.74/13.37 (~v84(constB101, bitIndex0)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13143, 13428])).
% 19.74/13.37 tff(13430,plain,
% 19.74/13.37 (~v124(constB99, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13147, 638, 13006])).
% 19.74/13.37 tff(13431,plain,
% 19.74/13.37 (~v121(constB99, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13155, 13430])).
% 19.74/13.37 tff(13432,plain,
% 19.74/13.37 (~v123(constB100, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13160, 13431])).
% 19.74/13.37 tff(13433,plain,
% 19.74/13.37 ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13167, 424, 13426])).
% 19.74/13.37 tff(13434,plain,
% 19.74/13.37 (~v84(constB100, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13433, 13432])).
% 19.74/13.37 tff(13435,plain,
% 19.74/13.37 (~v84(constB101, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13177, 13434])).
% 19.74/13.37 tff(13436,plain,
% 19.74/13.37 (v84(constB101, bitIndex0) | v84(constB101, bitIndex2) | v115(constB101)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13190, 945, 13391])).
% 19.74/13.37 tff(13437,plain,
% 19.74/13.37 ($false),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13436, 13435, 13429, 13421])).
% 19.74/13.37 tff(13438,plain,((~v145(constB99)) | v84(constB102, bitIndex1) | v84(constB99, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.37 tff(13439,plain,
% 19.74/13.37 (v84(constB102, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13438, 12981, 12943])).
% 19.74/13.37 tff(13440,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13441,plain,
% 19.74/13.37 (((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1)) <=> ((~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13442,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1)))),
% 19.74/13.37 inference(monotonicity,[status(thm)],[13441])).
% 19.74/13.37 tff(13443,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1))),
% 19.74/13.37 inference(transitivity,[status(thm)],[13442, 13440])).
% 19.74/13.37 tff(13444,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13445,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 19.74/13.37 tff(13446,plain,
% 19.74/13.37 ((~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13445, 852, 13334])).
% 19.74/13.37 tff(13447,plain,
% 19.74/13.37 ((~v84(constB102, bitIndex1)) | v84(constB103, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13446, 13346])).
% 19.74/13.37 tff(13448,plain,
% 19.74/13.37 (v84(constB103, bitIndex1)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13447, 13439])).
% 19.74/13.37 tff(13449,plain,
% 19.74/13.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13450,plain,
% 19.74/13.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13451,plain,
% 19.74/13.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13450, 13449])).
% 19.74/13.37 tff(13452,plain,
% 19.74/13.37 ((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex2) | v116(constB103)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13451, 1176, 13448])).
% 19.74/13.37 tff(13453,plain,
% 19.74/13.37 (v116(constB103)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13452, 13388, 13355])).
% 19.74/13.37 tff(13454,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB103) | (~v116(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13455,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB103) | (~v116(constB103)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13456,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB103) | (~v116(constB103))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13455, 13454])).
% 19.74/13.37 tff(13457,plain,
% 19.74/13.37 (v110(constB103)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13456, 1187, 13453])).
% 19.74/13.37 tff(13458,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB103) | (~v110(constB103)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB103) | (~v110(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13459,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB103) | (~v110(constB103)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13460,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB103) | (~v110(constB103))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13459, 13458])).
% 19.74/13.37 tff(13461,plain,
% 19.74/13.37 (v109(constB103)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13460, 228, 13457])).
% 19.74/13.37 tff(13462,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB103) | (~v109(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB103) | (~v109(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13463,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB103) | (~v109(constB103)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13464,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB103) | (~v109(constB103))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 19.74/13.37 tff(13465,plain,
% 19.74/13.37 (v108(constB103)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13464, 239, 13461])).
% 19.74/13.37 tff(13466,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB103) | (~v108(constB103)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB103) | (~v108(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13467,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB103) | (~v108(constB103)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13468,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB103) | (~v108(constB103))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13467, 13466])).
% 19.74/13.37 tff(13469,plain,
% 19.74/13.37 (v107(constB103)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13468, 250, 13465])).
% 19.74/13.37 tff(13470,assumption,(v26(constB103)), introduced(assumption)).
% 19.74/13.37 tff(13471,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13472,plain,
% 19.74/13.37 ($false),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13471, 18, 13470])).
% 19.74/13.37 tff(13473,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.37 tff(13474,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13475,plain,
% 19.74/13.37 ((v26(constB103) | (~v107(constB103)) | v106(constB103)) <=> (v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13476,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103))))),
% 19.74/13.37 inference(monotonicity,[status(thm)],[13475])).
% 19.74/13.37 tff(13477,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 19.74/13.37 inference(transitivity,[status(thm)],[13476, 13474])).
% 19.74/13.37 tff(13478,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13479,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13478, 13477])).
% 19.74/13.37 tff(13480,plain,
% 19.74/13.37 (v106(constB103) | (~v107(constB103))),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13479, 264, 13473])).
% 19.74/13.37 tff(13481,plain,
% 19.74/13.37 (v106(constB103)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13480, 13469])).
% 19.74/13.37 tff(13482,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB103) | (~v106(constB103)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB103) | (~v106(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13483,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB103) | (~v106(constB103)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13484,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB103) | (~v106(constB103))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13483, 13482])).
% 19.74/13.37 tff(13485,plain,
% 19.74/13.37 (v102(constB103)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13484, 276, 13481])).
% 19.74/13.37 tff(13486,plain,
% 19.74/13.37 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13487,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 19.74/13.37 tff(13488,plain,
% 19.74/13.37 (nextState(constB103, constB104)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13487, 13486])).
% 19.74/13.37 tff(13489,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13490,plain,
% 19.74/13.37 (((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13491,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))))),
% 19.74/13.37 inference(monotonicity,[status(thm)],[13490])).
% 19.74/13.37 tff(13492,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 19.74/13.37 inference(transitivity,[status(thm)],[13491, 13489])).
% 19.74/13.37 tff(13493,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13494,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13493, 13492])).
% 19.74/13.37 tff(13495,plain,
% 19.74/13.37 (v104(constB104) | (~v102(constB103))),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13494, 293, 13488])).
% 19.74/13.37 tff(13496,plain,
% 19.74/13.37 (v104(constB104)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13495, 13485])).
% 19.74/13.37 tff(13497,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13498,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13499,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13498, 13497])).
% 19.74/13.37 tff(13500,plain,
% 19.74/13.37 (~v98(constB104)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13499, 311, 13488, 13331])).
% 19.74/13.37 tff(13501,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13502,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13503,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13502, 13501])).
% 19.74/13.37 tff(13504,plain,
% 19.74/13.37 (v96(constB104) | v98(constB104)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13503, 325, 13488])).
% 19.74/13.37 tff(13505,plain,
% 19.74/13.37 (v96(constB104)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13504, 13500])).
% 19.74/13.37 tff(13506,plain,
% 19.74/13.37 (v1(constB104) <=> v1(constB104)),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13507,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 19.74/13.37 tff(13508,plain,
% 19.74/13.37 (v1(constB104)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 19.74/13.37 tff(13509,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13510,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13511,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13510, 13509])).
% 19.74/13.37 tff(13512,plain,
% 19.74/13.37 (v95(constB104) | (~v96(constB104))),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13511, 343, 13488, 13508])).
% 19.74/13.37 tff(13513,plain,
% 19.74/13.37 (v95(constB104)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13512, 13505])).
% 19.74/13.37 tff(13514,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13515,plain,
% 19.74/13.37 (((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104)) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13516,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104))))),
% 19.74/13.37 inference(monotonicity,[status(thm)],[13515])).
% 19.74/13.37 tff(13517,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 19.74/13.37 inference(transitivity,[status(thm)],[13516, 13514])).
% 19.74/13.37 tff(13518,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13519,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104))),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 19.74/13.37 tff(13520,plain,
% 19.74/13.37 (v94(constB104) | (~v95(constB104)) | (~v104(constB104))),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13519, 358, 13488])).
% 19.74/13.37 tff(13521,plain,
% 19.74/13.37 (v94(constB104) | (~v104(constB104))),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13520, 13513])).
% 19.74/13.37 tff(13522,plain,
% 19.74/13.37 (v94(constB104)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13521, 13496])).
% 19.74/13.37 tff(13523,plain,
% 19.74/13.37 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB103)) | v124(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB103)) | v124(constB103, bitIndex2))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13524,plain,
% 19.74/13.37 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB103)) | v124(constB103, bitIndex2))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13525,plain,
% 19.74/13.37 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB103)) | v124(constB103, bitIndex2)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13524, 13523])).
% 19.74/13.37 tff(13526,plain,
% 19.74/13.37 (v124(constB103, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13525, 1259, 13453])).
% 19.74/13.37 tff(13527,plain,
% 19.74/13.37 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13528,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13529,plain,
% 19.74/13.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2)),
% 19.74/13.37 inference(modus_ponens,[status(thm)],[13528, 13527])).
% 19.74/13.37 tff(13530,plain,
% 19.74/13.37 ((~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13529, 1273, 13473])).
% 19.74/13.37 tff(13531,plain,
% 19.74/13.37 (v121(constB103, bitIndex2)),
% 19.74/13.37 inference(unit_resolution,[status(thm)],[13530, 13526])).
% 19.74/13.37 tff(13532,plain,
% 19.74/13.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))),
% 19.74/13.37 inference(rewrite,[status(thm)],[])).
% 19.74/13.37 tff(13533,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))),
% 19.74/13.37 inference(quant_inst,[status(thm)],[])).
% 19.74/13.37 tff(13534,plain,
% 19.74/13.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2)),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13533, 13532])).
% 19.74/13.38 tff(13535,plain,
% 19.74/13.38 ((~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13534, 1288, 13488])).
% 19.74/13.38 tff(13536,plain,
% 19.74/13.38 (v123(constB104, bitIndex2)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13535, 13531])).
% 19.74/13.38 tff(13537,plain,
% 19.74/13.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13538,plain,
% 19.74/13.38 ((v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2))) <=> (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13539,plain,
% 19.74/13.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104))))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13538])).
% 19.74/13.38 tff(13540,plain,
% 19.74/13.38 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13539, 13537])).
% 19.74/13.38 tff(13541,plain,
% 19.74/13.38 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13542,plain,
% 19.74/13.38 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 19.74/13.38 tff(13543,plain,
% 19.74/13.38 (v84(constB104, bitIndex2) | (~v94(constB104))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13542, 1303, 13536])).
% 19.74/13.38 tff(13544,plain,
% 19.74/13.38 (v84(constB104, bitIndex2)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13543, 13522])).
% 19.74/13.38 tff(13545,plain,
% 19.74/13.38 ((~v1(constB105)) <=> (~v1(constB105))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13546,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 19.74/13.38 tff(13547,plain,
% 19.74/13.38 (~v1(constB105)),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13546, 13545])).
% 19.74/13.38 tff(13548,plain,
% 19.74/13.38 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13549,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 19.74/13.38 tff(13550,plain,
% 19.74/13.38 (nextState(constB104, constB105)),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13549, 13548])).
% 19.74/13.38 tff(13551,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13552,plain,
% 19.74/13.38 (((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13553,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13552])).
% 19.74/13.38 tff(13554,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13553, 13551])).
% 19.74/13.38 tff(13555,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13556,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13555, 13554])).
% 19.74/13.38 tff(13557,plain,
% 19.74/13.38 (~v95(constB105)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13556, 89, 13550, 13547])).
% 19.74/13.38 tff(13558,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13559,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13560,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13559, 13558])).
% 19.74/13.38 tff(13561,plain,
% 19.74/13.38 (v95(constB105) | (~v94(constB105))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13560, 106, 13550])).
% 19.74/13.38 tff(13562,plain,
% 19.74/13.38 (~v94(constB105)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13561, 13557])).
% 19.74/13.38 tff(13563,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13564,plain,
% 19.74/13.38 (((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2)) <=> ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13565,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2)))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13564])).
% 19.74/13.38 tff(13566,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13565, 13563])).
% 19.74/13.38 tff(13567,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13568,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2)),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13567, 13566])).
% 19.74/13.38 tff(13569,plain,
% 19.74/13.38 ((~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13568, 1339, 13550])).
% 19.74/13.38 tff(13570,plain,
% 19.74/13.38 ((~v84(constB104, bitIndex2)) | v84(constB105, bitIndex2)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13569, 13562])).
% 19.74/13.38 tff(13571,plain,
% 19.74/13.38 (v84(constB105, bitIndex2)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13570, 13544])).
% 19.74/13.38 tff(13572,plain,
% 19.74/13.38 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB103)) | (~v124(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB103)) | (~v124(constB103, bitIndex1)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13573,plain,
% 19.74/13.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB103)) | (~v124(constB103, bitIndex1)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13574,plain,
% 19.74/13.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB103)) | (~v124(constB103, bitIndex1))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13573, 13572])).
% 19.74/13.38 tff(13575,plain,
% 19.74/13.38 (~v124(constB103, bitIndex1)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13574, 1358, 13453])).
% 19.74/13.38 tff(13576,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13577,plain,
% 19.74/13.38 ((v26(constB103) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1))) <=> ((~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13578,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB103) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1)))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13577])).
% 19.74/13.38 tff(13579,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB103) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13578, 13576])).
% 19.74/13.38 tff(13580,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB103) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13581,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1)),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13580, 13579])).
% 19.74/13.38 tff(13582,plain,
% 19.74/13.38 ((~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13581, 483, 13473])).
% 19.74/13.38 tff(13583,plain,
% 19.74/13.38 (~v121(constB103, bitIndex1)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13582, 13575])).
% 19.74/13.38 tff(13584,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13585,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13586,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13585, 13584])).
% 19.74/13.38 tff(13587,plain,
% 19.74/13.38 (v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13586, 501, 13488])).
% 19.74/13.38 tff(13588,plain,
% 19.74/13.38 (~v123(constB104, bitIndex1)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13587, 13583])).
% 19.74/13.38 tff(13589,plain,
% 19.74/13.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13590,plain,
% 19.74/13.38 (((~v84(constB104, bitIndex1)) | (~v94(constB104)) | v123(constB104, bitIndex1)) <=> ((~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13591,plain,
% 19.74/13.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~v94(constB104)) | v123(constB104, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104))))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13590])).
% 19.74/13.38 tff(13592,plain,
% 19.74/13.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~v94(constB104)) | v123(constB104, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104)))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13591, 13589])).
% 19.74/13.38 tff(13593,plain,
% 19.74/13.38 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~v94(constB104)) | v123(constB104, bitIndex1))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13594,plain,
% 19.74/13.38 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13593, 13592])).
% 19.74/13.38 tff(13595,plain,
% 19.74/13.38 ((~v84(constB104, bitIndex1)) | (~v94(constB104))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13594, 516, 13588])).
% 19.74/13.38 tff(13596,plain,
% 19.74/13.38 (~v84(constB104, bitIndex1)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13595, 13522])).
% 19.74/13.38 tff(13597,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13598,plain,
% 19.74/13.38 (((~nextState(constB104, constB105)) | v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1))) <=> (v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13599,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1))))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13598])).
% 19.74/13.38 tff(13600,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1)))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13599, 13597])).
% 19.74/13.38 tff(13601,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13602,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13601, 13600])).
% 19.74/13.38 tff(13603,plain,
% 19.74/13.38 (v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13602, 142, 13550])).
% 19.74/13.38 tff(13604,plain,
% 19.74/13.38 (v84(constB104, bitIndex1) | (~v84(constB105, bitIndex1))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13603, 13562])).
% 19.74/13.38 tff(13605,plain,
% 19.74/13.38 (~v84(constB105, bitIndex1)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13604, 13596])).
% 19.74/13.38 tff(13606,plain,
% 19.74/13.38 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB103)) | (~v124(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB103)) | (~v124(constB103, bitIndex0)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13607,plain,
% 19.74/13.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB103)) | (~v124(constB103, bitIndex0)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13608,plain,
% 19.74/13.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB103)) | (~v124(constB103, bitIndex0))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13607, 13606])).
% 19.74/13.38 tff(13609,plain,
% 19.74/13.38 (~v124(constB103, bitIndex0)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13608, 1402, 13453])).
% 19.74/13.38 tff(13610,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13611,plain,
% 19.74/13.38 ((v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0))) <=> ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13612,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0)))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13611])).
% 19.74/13.38 tff(13613,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13612, 13610])).
% 19.74/13.38 tff(13614,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13615,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0)),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13614, 13613])).
% 19.74/13.38 tff(13616,plain,
% 19.74/13.38 ((~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13615, 885, 13473])).
% 19.74/13.38 tff(13617,plain,
% 19.74/13.38 (~v121(constB103, bitIndex0)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13616, 13609])).
% 19.74/13.38 tff(13618,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13619,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13620,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13619, 13618])).
% 19.74/13.38 tff(13621,plain,
% 19.74/13.38 (v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13620, 903, 13488])).
% 19.74/13.38 tff(13622,plain,
% 19.74/13.38 (~v123(constB104, bitIndex0)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13621, 13617])).
% 19.74/13.38 tff(13623,plain,
% 19.74/13.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13624,plain,
% 19.74/13.38 (((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0)) <=> ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13625,plain,
% 19.74/13.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104))))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13624])).
% 19.74/13.38 tff(13626,plain,
% 19.74/13.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13625, 13623])).
% 19.74/13.38 tff(13627,plain,
% 19.74/13.38 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13628,plain,
% 19.74/13.38 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13627, 13626])).
% 19.74/13.38 tff(13629,plain,
% 19.74/13.38 ((~v84(constB104, bitIndex0)) | (~v94(constB104))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13628, 918, 13622])).
% 19.74/13.38 tff(13630,plain,
% 19.74/13.38 (~v84(constB104, bitIndex0)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13629, 13522])).
% 19.74/13.38 tff(13631,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13632,plain,
% 19.74/13.38 (((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0))) <=> (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13633,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0))))),
% 19.74/13.38 inference(monotonicity,[status(thm)],[13632])).
% 19.74/13.38 tff(13634,plain,
% 19.74/13.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 19.74/13.38 inference(transitivity,[status(thm)],[13633, 13631])).
% 19.74/13.38 tff(13635,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13636,plain,
% 19.74/13.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 19.74/13.38 tff(13637,plain,
% 19.74/13.38 (v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13636, 163, 13550])).
% 19.74/13.38 tff(13638,plain,
% 19.74/13.38 (v84(constB104, bitIndex0) | (~v84(constB105, bitIndex0))),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13637, 13562])).
% 19.74/13.38 tff(13639,plain,
% 19.74/13.38 (~v84(constB105, bitIndex0)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13638, 13630])).
% 19.74/13.38 tff(13640,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13641,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13642,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105)),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13641, 13640])).
% 19.74/13.38 tff(13643,plain,
% 19.74/13.38 (v172(constB105)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13642, 1446, 13639, 13605, 13571])).
% 19.74/13.38 tff(13644,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB105) | (~v172(constB105)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB105) | (~v172(constB105)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13645,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB105) | (~v172(constB105)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13646,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB105) | (~v172(constB105))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13645, 13644])).
% 19.74/13.38 tff(13647,plain,
% 19.74/13.38 (v109(constB105)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13646, 1457, 13643])).
% 19.74/13.38 tff(13648,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB105) | (~v109(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB105) | (~v109(constB105)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13649,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB105) | (~v109(constB105)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13650,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB105) | (~v109(constB105))),
% 19.74/13.38 inference(modus_ponens,[status(thm)],[13649, 13648])).
% 19.74/13.38 tff(13651,plain,
% 19.74/13.38 (v108(constB105)),
% 19.74/13.38 inference(unit_resolution,[status(thm)],[13650, 239, 13647])).
% 19.74/13.38 tff(13652,plain,
% 19.74/13.38 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB105) | (~v108(constB105)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB105) | (~v108(constB105)))),
% 19.74/13.38 inference(rewrite,[status(thm)],[])).
% 19.74/13.38 tff(13653,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB105) | (~v108(constB105)))),
% 19.74/13.38 inference(quant_inst,[status(thm)],[])).
% 19.74/13.38 tff(13654,plain,
% 19.74/13.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB105) | (~v108(constB105))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13653, 13652])).
% 19.74/13.39 tff(13655,plain,
% 19.74/13.39 (v107(constB105)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13654, 250, 13651])).
% 19.74/13.39 tff(13656,assumption,(v26(constB105)), introduced(assumption)).
% 19.74/13.39 tff(13657,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13658,plain,
% 19.74/13.39 ($false),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13657, 18, 13656])).
% 19.74/13.39 tff(13659,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.39 tff(13660,plain,
% 19.74/13.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13661,plain,
% 19.74/13.39 ((v26(constB105) | (~v107(constB105)) | v106(constB105)) <=> (v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13662,plain,
% 19.74/13.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105))))),
% 19.74/13.39 inference(monotonicity,[status(thm)],[13661])).
% 19.74/13.39 tff(13663,plain,
% 19.74/13.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 19.74/13.39 inference(transitivity,[status(thm)],[13662, 13660])).
% 19.74/13.39 tff(13664,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13665,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 19.74/13.39 tff(13666,plain,
% 19.74/13.39 (v106(constB105) | (~v107(constB105))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13665, 264, 13659])).
% 19.74/13.39 tff(13667,plain,
% 19.74/13.39 (v106(constB105)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13666, 13655])).
% 19.74/13.39 tff(13668,plain,
% 19.74/13.39 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB105) | (~v106(constB105)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB105) | (~v106(constB105)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13669,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB105) | (~v106(constB105)))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13670,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB105) | (~v106(constB105))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13669, 13668])).
% 19.74/13.39 tff(13671,plain,
% 19.74/13.39 (v102(constB105)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13670, 276, 13667])).
% 19.74/13.39 tff(13672,plain,
% 19.74/13.39 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13673,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 19.74/13.39 tff(13674,plain,
% 19.74/13.39 (nextState(constB105, constB106)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13673, 13672])).
% 19.74/13.39 tff(13675,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13676,plain,
% 19.74/13.39 (((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13677,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))))),
% 19.74/13.39 inference(monotonicity,[status(thm)],[13676])).
% 19.74/13.39 tff(13678,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 19.74/13.39 inference(transitivity,[status(thm)],[13677, 13675])).
% 19.74/13.39 tff(13679,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13680,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13679, 13678])).
% 19.74/13.39 tff(13681,plain,
% 19.74/13.39 (v104(constB106) | (~v102(constB105))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13680, 293, 13674])).
% 19.74/13.39 tff(13682,plain,
% 19.74/13.39 (v104(constB106)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13681, 13671])).
% 19.74/13.39 tff(13683,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13684,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13685,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13684, 13683])).
% 19.74/13.39 tff(13686,plain,
% 19.74/13.39 (~v98(constB106)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13685, 311, 13674, 13547])).
% 19.74/13.39 tff(13687,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13688,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13689,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13688, 13687])).
% 19.74/13.39 tff(13690,plain,
% 19.74/13.39 (v96(constB106) | v98(constB106)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13689, 325, 13674])).
% 19.74/13.39 tff(13691,plain,
% 19.74/13.39 (v96(constB106)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13690, 13686])).
% 19.74/13.39 tff(13692,plain,
% 19.74/13.39 (v1(constB106) <=> v1(constB106)),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13693,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 19.74/13.39 tff(13694,plain,
% 19.74/13.39 (v1(constB106)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13693, 13692])).
% 19.74/13.39 tff(13695,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13696,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13697,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13696, 13695])).
% 19.74/13.39 tff(13698,plain,
% 19.74/13.39 (v95(constB106) | (~v96(constB106))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13697, 343, 13674, 13694])).
% 19.74/13.39 tff(13699,plain,
% 19.74/13.39 (v95(constB106)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13698, 13691])).
% 19.74/13.39 tff(13700,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13701,plain,
% 19.74/13.39 (((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106)) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13702,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106))))),
% 19.74/13.39 inference(monotonicity,[status(thm)],[13701])).
% 19.74/13.39 tff(13703,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 19.74/13.39 inference(transitivity,[status(thm)],[13702, 13700])).
% 19.74/13.39 tff(13704,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13705,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13704, 13703])).
% 19.74/13.39 tff(13706,plain,
% 19.74/13.39 (v94(constB106) | (~v95(constB106)) | (~v104(constB106))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13705, 358, 13674])).
% 19.74/13.39 tff(13707,plain,
% 19.74/13.39 (v94(constB106) | (~v104(constB106))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13706, 13699])).
% 19.74/13.39 tff(13708,plain,
% 19.74/13.39 (v94(constB106)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13707, 13682])).
% 19.74/13.39 tff(13709,plain,
% 19.74/13.39 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB105)) | v124(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB105)) | v124(constB105, bitIndex2))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13710,plain,
% 19.74/13.39 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB105)) | v124(constB105, bitIndex2))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13711,plain,
% 19.74/13.39 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB105)) | v124(constB105, bitIndex2)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 19.74/13.39 tff(13712,plain,
% 19.74/13.39 (v124(constB105, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13711, 1528, 13643])).
% 19.74/13.39 tff(13713,plain,
% 19.74/13.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB105) | (~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB105) | (~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13714,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB105) | (~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13715,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB105) | (~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 19.74/13.39 tff(13716,plain,
% 19.74/13.39 ((~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13715, 1273, 13659])).
% 19.74/13.39 tff(13717,plain,
% 19.74/13.39 (v121(constB105, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13716, 13712])).
% 19.74/13.39 tff(13718,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13719,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13720,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13719, 13718])).
% 19.74/13.39 tff(13721,plain,
% 19.74/13.39 ((~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13720, 1288, 13674])).
% 19.74/13.39 tff(13722,plain,
% 19.74/13.39 (v123(constB106, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13721, 13717])).
% 19.74/13.39 tff(13723,plain,
% 19.74/13.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13724,plain,
% 19.74/13.39 ((v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2))) <=> (v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13725,plain,
% 19.74/13.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106))))),
% 19.74/13.39 inference(monotonicity,[status(thm)],[13724])).
% 19.74/13.39 tff(13726,plain,
% 19.74/13.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106)))),
% 19.74/13.39 inference(transitivity,[status(thm)],[13725, 13723])).
% 19.74/13.39 tff(13727,plain,
% 19.74/13.39 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2)))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13728,plain,
% 19.74/13.39 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13727, 13726])).
% 19.74/13.39 tff(13729,plain,
% 19.74/13.39 (v84(constB106, bitIndex2) | (~v94(constB106))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13728, 1303, 13722])).
% 19.74/13.39 tff(13730,plain,
% 19.74/13.39 (v84(constB106, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13729, 13708])).
% 19.74/13.39 tff(13731,plain,
% 19.74/13.39 ((~v1(constB107)) <=> (~v1(constB107))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13732,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 19.74/13.39 tff(13733,plain,
% 19.74/13.39 (~v1(constB107)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 19.74/13.39 tff(13734,plain,
% 19.74/13.39 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13735,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 19.74/13.39 tff(13736,plain,
% 19.74/13.39 (nextState(constB106, constB107)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13735, 13734])).
% 19.74/13.39 tff(13737,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13738,plain,
% 19.74/13.39 (((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13739,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))))),
% 19.74/13.39 inference(monotonicity,[status(thm)],[13738])).
% 19.74/13.39 tff(13740,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 19.74/13.39 inference(transitivity,[status(thm)],[13739, 13737])).
% 19.74/13.39 tff(13741,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13742,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13741, 13740])).
% 19.74/13.39 tff(13743,plain,
% 19.74/13.39 (~v95(constB107)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13742, 89, 13736, 13733])).
% 19.74/13.39 tff(13744,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13745,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13746,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 19.74/13.39 tff(13747,plain,
% 19.74/13.39 (v95(constB107) | (~v94(constB107))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13746, 106, 13736])).
% 19.74/13.39 tff(13748,plain,
% 19.74/13.39 (~v94(constB107)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13747, 13743])).
% 19.74/13.39 tff(13749,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13750,plain,
% 19.74/13.39 (((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2)) <=> ((~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13751,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2)))),
% 19.74/13.39 inference(monotonicity,[status(thm)],[13750])).
% 19.74/13.39 tff(13752,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2))),
% 19.74/13.39 inference(transitivity,[status(thm)],[13751, 13749])).
% 19.74/13.39 tff(13753,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13754,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 19.74/13.39 tff(13755,plain,
% 19.74/13.39 ((~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13754, 1339, 13736])).
% 19.74/13.39 tff(13756,plain,
% 19.74/13.39 ((~v84(constB106, bitIndex2)) | v84(constB107, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13755, 13748])).
% 19.74/13.39 tff(13757,plain,
% 19.74/13.39 (v84(constB107, bitIndex2)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13756, 13730])).
% 19.74/13.39 tff(13758,plain,
% 19.74/13.39 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB105)) | (~v124(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB105)) | (~v124(constB105, bitIndex1)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13759,plain,
% 19.74/13.39 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB105)) | (~v124(constB105, bitIndex1)))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13760,plain,
% 19.74/13.39 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB105)) | (~v124(constB105, bitIndex1))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13759, 13758])).
% 19.74/13.39 tff(13761,plain,
% 19.74/13.39 (~v124(constB105, bitIndex1)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13760, 1587, 13643])).
% 19.74/13.39 tff(13762,plain,
% 19.74/13.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13763,plain,
% 19.74/13.39 ((v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1))) <=> ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13764,plain,
% 19.74/13.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1)))),
% 19.74/13.39 inference(monotonicity,[status(thm)],[13763])).
% 19.74/13.39 tff(13765,plain,
% 19.74/13.39 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 19.74/13.39 inference(transitivity,[status(thm)],[13764, 13762])).
% 19.74/13.39 tff(13766,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13767,plain,
% 19.74/13.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1)),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13766, 13765])).
% 19.74/13.39 tff(13768,plain,
% 19.74/13.39 ((~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13767, 483, 13659])).
% 19.74/13.39 tff(13769,plain,
% 19.74/13.39 (~v121(constB105, bitIndex1)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13768, 13761])).
% 19.74/13.39 tff(13770,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13771,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13772,plain,
% 19.74/13.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13771, 13770])).
% 19.74/13.39 tff(13773,plain,
% 19.74/13.39 (v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13772, 501, 13674])).
% 19.74/13.39 tff(13774,plain,
% 19.74/13.39 (~v123(constB106, bitIndex1)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13773, 13769])).
% 19.74/13.39 tff(13775,plain,
% 19.74/13.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13776,plain,
% 19.74/13.39 (((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1)) <=> ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13777,plain,
% 19.74/13.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106))))),
% 19.74/13.39 inference(monotonicity,[status(thm)],[13776])).
% 19.74/13.39 tff(13778,plain,
% 19.74/13.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 19.74/13.39 inference(transitivity,[status(thm)],[13777, 13775])).
% 19.74/13.39 tff(13779,plain,
% 19.74/13.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))),
% 19.74/13.39 inference(quant_inst,[status(thm)],[])).
% 19.74/13.39 tff(13780,plain,
% 19.74/13.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106))),
% 19.74/13.39 inference(modus_ponens,[status(thm)],[13779, 13778])).
% 19.74/13.39 tff(13781,plain,
% 19.74/13.39 ((~v84(constB106, bitIndex1)) | (~v94(constB106))),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13780, 516, 13774])).
% 19.74/13.39 tff(13782,plain,
% 19.74/13.39 (~v84(constB106, bitIndex1)),
% 19.74/13.39 inference(unit_resolution,[status(thm)],[13781, 13708])).
% 19.74/13.39 tff(13783,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13784,plain,
% 19.74/13.39 (((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1))) <=> (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 19.74/13.39 inference(rewrite,[status(thm)],[])).
% 19.74/13.39 tff(13785,plain,
% 19.74/13.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1))))),
% 19.74/13.40 inference(monotonicity,[status(thm)],[13784])).
% 19.74/13.40 tff(13786,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 19.74/13.40 inference(transitivity,[status(thm)],[13785, 13783])).
% 19.74/13.40 tff(13787,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13788,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13787, 13786])).
% 19.74/13.40 tff(13789,plain,
% 19.74/13.40 (v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13788, 142, 13736])).
% 19.74/13.40 tff(13790,plain,
% 19.74/13.40 (v84(constB106, bitIndex1) | (~v84(constB107, bitIndex1))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13789, 13748])).
% 19.74/13.40 tff(13791,plain,
% 19.74/13.40 (~v84(constB107, bitIndex1)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13790, 13782])).
% 19.74/13.40 tff(13792,plain,
% 19.74/13.40 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB105)) | v124(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB105)) | v124(constB105, bitIndex0))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13793,plain,
% 19.74/13.40 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB105)) | v124(constB105, bitIndex0))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13794,plain,
% 19.74/13.40 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB105)) | v124(constB105, bitIndex0)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 19.74/13.40 tff(13795,plain,
% 19.74/13.40 (v124(constB105, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13794, 1631, 13643])).
% 19.74/13.40 tff(13796,plain,
% 19.74/13.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13797,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13798,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13797, 13796])).
% 19.74/13.40 tff(13799,plain,
% 19.74/13.40 ((~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13798, 557, 13659])).
% 19.74/13.40 tff(13800,plain,
% 19.74/13.40 (v121(constB105, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13799, 13795])).
% 19.74/13.40 tff(13801,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13802,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13803,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 19.74/13.40 tff(13804,plain,
% 19.74/13.40 ((~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13803, 572, 13674])).
% 19.74/13.40 tff(13805,plain,
% 19.74/13.40 (v123(constB106, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13804, 13800])).
% 19.74/13.40 tff(13806,plain,
% 19.74/13.40 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13807,plain,
% 19.74/13.40 ((v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0))) <=> (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13808,plain,
% 19.74/13.40 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106))))),
% 19.74/13.40 inference(monotonicity,[status(thm)],[13807])).
% 19.74/13.40 tff(13809,plain,
% 19.74/13.40 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 19.74/13.40 inference(transitivity,[status(thm)],[13808, 13806])).
% 19.74/13.40 tff(13810,plain,
% 19.74/13.40 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13811,plain,
% 19.74/13.40 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13810, 13809])).
% 19.74/13.40 tff(13812,plain,
% 19.74/13.40 (v84(constB106, bitIndex0) | (~v94(constB106))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13811, 587, 13805])).
% 19.74/13.40 tff(13813,plain,
% 19.74/13.40 (v84(constB106, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13812, 13708])).
% 19.74/13.40 tff(13814,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13815,plain,
% 19.74/13.40 (((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0)) <=> ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13816,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0)))),
% 19.74/13.40 inference(monotonicity,[status(thm)],[13815])).
% 19.74/13.40 tff(13817,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 19.74/13.40 inference(transitivity,[status(thm)],[13816, 13814])).
% 19.74/13.40 tff(13818,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13819,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13818, 13817])).
% 19.74/13.40 tff(13820,plain,
% 19.74/13.40 ((~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13819, 605, 13736])).
% 19.74/13.40 tff(13821,plain,
% 19.74/13.40 ((~v84(constB106, bitIndex0)) | v84(constB107, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13820, 13748])).
% 19.74/13.40 tff(13822,plain,
% 19.74/13.40 (v84(constB107, bitIndex0)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13821, 13813])).
% 19.74/13.40 tff(13823,plain,
% 19.74/13.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13824,plain,
% 19.74/13.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13825,plain,
% 19.74/13.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13824, 13823])).
% 19.74/13.40 tff(13826,plain,
% 19.74/13.40 (v118(constB107)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13825, 1672, 13822, 13791, 13757])).
% 19.74/13.40 tff(13827,plain,
% 19.74/13.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB107) | (~v118(constB107)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13828,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB107) | (~v118(constB107)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13829,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB107) | (~v118(constB107))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13828, 13827])).
% 19.74/13.40 tff(13830,plain,
% 19.74/13.40 (v108(constB107)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13829, 1683, 13826])).
% 19.74/13.40 tff(13831,plain,
% 19.74/13.40 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB107) | (~v108(constB107)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB107) | (~v108(constB107)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13832,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB107) | (~v108(constB107)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13833,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB107) | (~v108(constB107))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13832, 13831])).
% 19.74/13.40 tff(13834,plain,
% 19.74/13.40 (v107(constB107)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13833, 250, 13830])).
% 19.74/13.40 tff(13835,assumption,(v26(constB107)), introduced(assumption)).
% 19.74/13.40 tff(13836,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13837,plain,
% 19.74/13.40 ($false),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13836, 18, 13835])).
% 19.74/13.40 tff(13838,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 19.74/13.40 tff(13839,plain,
% 19.74/13.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13840,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13841,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | (~v107(constB107)) | v106(constB107)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13840, 13839])).
% 19.74/13.40 tff(13842,plain,
% 19.74/13.40 ((~v107(constB107)) | v106(constB107)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13841, 264, 13838])).
% 19.74/13.40 tff(13843,plain,
% 19.74/13.40 (v106(constB107)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13842, 13834])).
% 19.74/13.40 tff(13844,plain,
% 19.74/13.40 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB107) | (~v106(constB107)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB107) | (~v106(constB107)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13845,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB107) | (~v106(constB107)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13846,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB107) | (~v106(constB107))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13845, 13844])).
% 19.74/13.40 tff(13847,plain,
% 19.74/13.40 (v102(constB107)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13846, 276, 13843])).
% 19.74/13.40 tff(13848,plain,
% 19.74/13.40 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13849,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 19.74/13.40 tff(13850,plain,
% 19.74/13.40 (nextState(constB107, constB108)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13849, 13848])).
% 19.74/13.40 tff(13851,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13852,plain,
% 19.74/13.40 (((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13853,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))))),
% 19.74/13.40 inference(monotonicity,[status(thm)],[13852])).
% 19.74/13.40 tff(13854,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 19.74/13.40 inference(transitivity,[status(thm)],[13853, 13851])).
% 19.74/13.40 tff(13855,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13856,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13855, 13854])).
% 19.74/13.40 tff(13857,plain,
% 19.74/13.40 (v104(constB108) | (~v102(constB107))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13856, 293, 13850])).
% 19.74/13.40 tff(13858,plain,
% 19.74/13.40 (v104(constB108)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13857, 13847])).
% 19.74/13.40 tff(13859,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13860,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13861,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 19.74/13.40 tff(13862,plain,
% 19.74/13.40 (~v98(constB108)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13861, 311, 13850, 13733])).
% 19.74/13.40 tff(13863,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13864,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13865,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13864, 13863])).
% 19.74/13.40 tff(13866,plain,
% 19.74/13.40 (v96(constB108) | v98(constB108)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13865, 325, 13850])).
% 19.74/13.40 tff(13867,plain,
% 19.74/13.40 (v96(constB108)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13866, 13862])).
% 19.74/13.40 tff(13868,plain,
% 19.74/13.40 (v1(constB108) <=> v1(constB108)),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13869,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 19.74/13.40 tff(13870,plain,
% 19.74/13.40 (v1(constB108)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13869, 13868])).
% 19.74/13.40 tff(13871,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13872,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13873,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13872, 13871])).
% 19.74/13.40 tff(13874,plain,
% 19.74/13.40 (v95(constB108) | (~v96(constB108))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13873, 343, 13850, 13870])).
% 19.74/13.40 tff(13875,plain,
% 19.74/13.40 (v95(constB108)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13874, 13867])).
% 19.74/13.40 tff(13876,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13877,plain,
% 19.74/13.40 (((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108)) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13878,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108))))),
% 19.74/13.40 inference(monotonicity,[status(thm)],[13877])).
% 19.74/13.40 tff(13879,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 19.74/13.40 inference(transitivity,[status(thm)],[13878, 13876])).
% 19.74/13.40 tff(13880,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13881,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 19.74/13.40 tff(13882,plain,
% 19.74/13.40 (v94(constB108) | (~v95(constB108)) | (~v104(constB108))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13881, 358, 13850])).
% 19.74/13.40 tff(13883,plain,
% 19.74/13.40 (v94(constB108) | (~v104(constB108))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13882, 13875])).
% 19.74/13.40 tff(13884,plain,
% 19.74/13.40 (v94(constB108)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13883, 13858])).
% 19.74/13.40 tff(13885,plain,
% 19.74/13.40 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB107)) | v124(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB107)) | v124(constB107, bitIndex2))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13886,plain,
% 19.74/13.40 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB107)) | v124(constB107, bitIndex2))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13887,plain,
% 19.74/13.40 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB107)) | v124(constB107, bitIndex2)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13886, 13885])).
% 19.74/13.40 tff(13888,plain,
% 19.74/13.40 (v124(constB107, bitIndex2)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13887, 1750, 13826])).
% 19.74/13.40 tff(13889,plain,
% 19.74/13.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB107) | (~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB107) | (~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13890,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB107) | (~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13891,plain,
% 19.74/13.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB107) | (~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13890, 13889])).
% 19.74/13.40 tff(13892,plain,
% 19.74/13.40 ((~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13891, 1273, 13838])).
% 19.74/13.40 tff(13893,plain,
% 19.74/13.40 (v121(constB107, bitIndex2)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13892, 13888])).
% 19.74/13.40 tff(13894,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13895,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13896,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 19.74/13.40 tff(13897,plain,
% 19.74/13.40 ((~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13896, 1288, 13850])).
% 19.74/13.40 tff(13898,plain,
% 19.74/13.40 (v123(constB108, bitIndex2)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13897, 13893])).
% 19.74/13.40 tff(13899,plain,
% 19.74/13.40 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13900,plain,
% 19.74/13.40 ((v84(constB108, bitIndex2) | (~v94(constB108)) | (~v123(constB108, bitIndex2))) <=> (v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13901,plain,
% 19.74/13.40 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v94(constB108)) | (~v123(constB108, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108))))),
% 19.74/13.40 inference(monotonicity,[status(thm)],[13900])).
% 19.74/13.40 tff(13902,plain,
% 19.74/13.40 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v94(constB108)) | (~v123(constB108, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108)))),
% 19.74/13.40 inference(transitivity,[status(thm)],[13901, 13899])).
% 19.74/13.40 tff(13903,plain,
% 19.74/13.40 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v94(constB108)) | (~v123(constB108, bitIndex2)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13904,plain,
% 19.74/13.40 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 19.74/13.40 tff(13905,plain,
% 19.74/13.40 (v84(constB108, bitIndex2) | (~v94(constB108))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13904, 1303, 13898])).
% 19.74/13.40 tff(13906,plain,
% 19.74/13.40 (v84(constB108, bitIndex2)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13905, 13884])).
% 19.74/13.40 tff(13907,plain,
% 19.74/13.40 ((~v1(constB109)) <=> (~v1(constB109))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13908,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 19.74/13.40 tff(13909,plain,
% 19.74/13.40 (~v1(constB109)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 19.74/13.40 tff(13910,plain,
% 19.74/13.40 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13911,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 19.74/13.40 tff(13912,plain,
% 19.74/13.40 (nextState(constB108, constB109)),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 19.74/13.40 tff(13913,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13914,plain,
% 19.74/13.40 (((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13915,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))))),
% 19.74/13.40 inference(monotonicity,[status(thm)],[13914])).
% 19.74/13.40 tff(13916,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 19.74/13.40 inference(transitivity,[status(thm)],[13915, 13913])).
% 19.74/13.40 tff(13917,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13918,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13917, 13916])).
% 19.74/13.40 tff(13919,plain,
% 19.74/13.40 (~v95(constB109)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13918, 89, 13912, 13909])).
% 19.74/13.40 tff(13920,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13921,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 19.74/13.40 inference(quant_inst,[status(thm)],[])).
% 19.74/13.40 tff(13922,plain,
% 19.74/13.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109))),
% 19.74/13.40 inference(modus_ponens,[status(thm)],[13921, 13920])).
% 19.74/13.40 tff(13923,plain,
% 19.74/13.40 (v95(constB109) | (~v94(constB109))),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13922, 106, 13912])).
% 19.74/13.40 tff(13924,plain,
% 19.74/13.40 (~v94(constB109)),
% 19.74/13.40 inference(unit_resolution,[status(thm)],[13923, 13919])).
% 19.74/13.40 tff(13925,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13926,plain,
% 19.74/13.40 (((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2)) <=> ((~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2))),
% 19.74/13.40 inference(rewrite,[status(thm)],[])).
% 19.74/13.40 tff(13927,plain,
% 19.74/13.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2)))),
% 19.74/13.40 inference(monotonicity,[status(thm)],[13926])).
% 19.74/13.41 tff(13928,plain,
% 19.74/13.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2))),
% 19.74/13.41 inference(transitivity,[status(thm)],[13927, 13925])).
% 19.74/13.41 tff(13929,plain,
% 19.74/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13930,plain,
% 19.74/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2)),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13929, 13928])).
% 19.74/13.41 tff(13931,plain,
% 19.74/13.41 ((~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13930, 1339, 13912])).
% 19.74/13.41 tff(13932,plain,
% 19.74/13.41 ((~v84(constB108, bitIndex2)) | v84(constB109, bitIndex2)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13931, 13924])).
% 19.74/13.41 tff(13933,plain,
% 19.74/13.41 (v84(constB109, bitIndex2)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13932, 13906])).
% 19.74/13.41 tff(13934,plain,
% 19.74/13.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v116(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB109, bitIndex2)) | (~v116(constB109)))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13935,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v116(constB109)))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13936,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB109, bitIndex2)) | (~v116(constB109))),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13935, 13934])).
% 19.74/13.41 tff(13937,plain,
% 19.74/13.41 (~v116(constB109)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13936, 1976, 13933])).
% 19.74/13.41 tff(13938,plain,
% 19.74/13.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB109, bitIndex2)) | (~v115(constB109)))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13939,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v115(constB109)))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13940,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB109, bitIndex2)) | (~v115(constB109))),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13939, 13938])).
% 19.74/13.41 tff(13941,plain,
% 19.74/13.41 (~v115(constB109)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13940, 1965, 13933])).
% 19.74/13.41 tff(13942,plain,
% 19.74/13.41 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB107)) | v124(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB107)) | v124(constB107, bitIndex1))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13943,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB107)) | v124(constB107, bitIndex1))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13944,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB107)) | v124(constB107, bitIndex1)),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13943, 13942])).
% 19.74/13.41 tff(13945,plain,
% 19.74/13.41 (v124(constB107, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13944, 1809, 13826])).
% 19.74/13.41 tff(13946,plain,
% 19.74/13.41 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13947,plain,
% 19.74/13.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13948,plain,
% 19.74/13.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1)),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13947, 13946])).
% 19.74/13.41 tff(13949,plain,
% 19.74/13.41 ((~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13948, 804, 13838])).
% 19.74/13.41 tff(13950,plain,
% 19.74/13.41 (v121(constB107, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13949, 13945])).
% 19.74/13.41 tff(13951,plain,
% 19.74/13.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13952,plain,
% 19.74/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13953,plain,
% 19.74/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1)),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 19.74/13.41 tff(13954,plain,
% 19.74/13.41 ((~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13953, 819, 13850])).
% 19.74/13.41 tff(13955,plain,
% 19.74/13.41 (v123(constB108, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13954, 13950])).
% 19.74/13.41 tff(13956,plain,
% 19.74/13.41 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13957,plain,
% 19.74/13.41 ((v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1))) <=> (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13958,plain,
% 19.74/13.41 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108))))),
% 19.74/13.41 inference(monotonicity,[status(thm)],[13957])).
% 19.74/13.41 tff(13959,plain,
% 19.74/13.41 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 19.74/13.41 inference(transitivity,[status(thm)],[13958, 13956])).
% 19.74/13.41 tff(13960,plain,
% 19.74/13.41 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13961,plain,
% 19.74/13.41 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108))),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13960, 13959])).
% 19.74/13.41 tff(13962,plain,
% 19.74/13.41 (v84(constB108, bitIndex1) | (~v94(constB108))),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13961, 834, 13955])).
% 19.74/13.41 tff(13963,plain,
% 19.74/13.41 (v84(constB108, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13962, 13884])).
% 19.74/13.41 tff(13964,plain,
% 19.74/13.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13965,plain,
% 19.74/13.41 (((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1)) <=> ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13966,plain,
% 19.74/13.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1)))),
% 19.74/13.41 inference(monotonicity,[status(thm)],[13965])).
% 19.74/13.41 tff(13967,plain,
% 19.74/13.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 19.74/13.41 inference(transitivity,[status(thm)],[13966, 13964])).
% 19.74/13.41 tff(13968,plain,
% 19.74/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13969,plain,
% 19.74/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1)),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13968, 13967])).
% 19.74/13.41 tff(13970,plain,
% 19.74/13.41 ((~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13969, 852, 13912])).
% 19.74/13.41 tff(13971,plain,
% 19.74/13.41 ((~v84(constB108, bitIndex1)) | v84(constB109, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13970, 13924])).
% 19.74/13.41 tff(13972,plain,
% 19.74/13.41 (v84(constB109, bitIndex1)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13971, 13963])).
% 19.74/13.41 tff(13973,plain,
% 19.74/13.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v118(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v118(constB109)))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13974,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v118(constB109)))),
% 19.74/13.41 inference(quant_inst,[status(thm)],[])).
% 19.74/13.41 tff(13975,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v118(constB109))),
% 19.74/13.41 inference(modus_ponens,[status(thm)],[13974, 13973])).
% 19.74/13.41 tff(13976,plain,
% 19.74/13.41 (~v118(constB109)),
% 19.74/13.41 inference(unit_resolution,[status(thm)],[13975, 2001, 13972])).
% 19.74/13.41 tff(13977,plain,
% 19.74/13.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v172(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v172(constB109)))),
% 19.74/13.41 inference(rewrite,[status(thm)],[])).
% 19.74/13.41 tff(13978,plain,
% 19.74/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v172(constB109)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(13979,plain,
% 19.83/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v172(constB109))),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[13978, 13977])).
% 19.83/13.41 tff(13980,plain,
% 19.83/13.41 (~v172(constB109)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[13979, 2023, 13972])).
% 19.83/13.41 tff(13981,plain,
% 19.83/13.41 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB109)) | (~v84(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB109)) | (~v84(constB109, bitIndex1)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(13982,plain,
% 19.83/13.41 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB109)) | (~v84(constB109, bitIndex1)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(13983,plain,
% 19.83/13.41 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB109)) | (~v84(constB109, bitIndex1))),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[13982, 13981])).
% 19.83/13.41 tff(13984,plain,
% 19.83/13.41 (~v113(constB109)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[13983, 1990, 13972])).
% 19.83/13.41 tff(13985,plain,
% 19.83/13.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v145(constB109)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(13986,plain,
% 19.83/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v145(constB109)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(13987,plain,
% 19.83/13.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v145(constB109))),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 19.83/13.41 tff(13988,plain,
% 19.83/13.41 (~v145(constB109)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[13987, 2012, 13972])).
% 19.83/13.41 tff(13989,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(13990,plain,
% 19.83/13.41 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex2))) <=> (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(13991,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2))))),
% 19.83/13.41 inference(monotonicity,[status(thm)],[13990])).
% 19.83/13.41 tff(13992,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2)))),
% 19.83/13.41 inference(transitivity,[status(thm)],[13991, 13989])).
% 19.83/13.41 tff(13993,plain,
% 19.83/13.41 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex2)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(13994,plain,
% 19.83/13.41 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2))),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[13993, 13992])).
% 19.83/13.41 tff(13995,plain,
% 19.83/13.41 (~v124(constB109, bitIndex2)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[13994, 2037, 13988, 13984, 13980, 13976, 13941, 13937])).
% 19.83/13.41 tff(13996,assumption,(v26(constB109)), introduced(assumption)).
% 19.83/13.41 tff(13997,plain,
% 19.83/13.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(13998,plain,
% 19.83/13.41 ($false),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[13997, 18, 13996])).
% 19.83/13.41 tff(13999,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.41 tff(14000,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14001,plain,
% 19.83/13.41 ((v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2))) <=> ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14002,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2)))),
% 19.83/13.41 inference(monotonicity,[status(thm)],[14001])).
% 19.83/13.41 tff(14003,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 19.83/13.41 inference(transitivity,[status(thm)],[14002, 14000])).
% 19.83/13.41 tff(14004,plain,
% 19.83/13.41 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(14005,plain,
% 19.83/13.41 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2)),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[14004, 14003])).
% 19.83/13.41 tff(14006,plain,
% 19.83/13.41 ((~v121(constB109, bitIndex2)) | v124(constB109, bitIndex2)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14005, 391, 13999])).
% 19.83/13.41 tff(14007,plain,
% 19.83/13.41 (~v121(constB109, bitIndex2)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14006, 13995])).
% 19.83/13.41 tff(14008,plain,
% 19.83/13.41 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14009,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 19.83/13.41 tff(14010,plain,
% 19.83/13.41 (nextState(constB109, constB110)),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[14009, 14008])).
% 19.83/13.41 tff(14011,plain,
% 19.83/13.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14012,plain,
% 19.83/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(14013,plain,
% 19.83/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2))),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[14012, 14011])).
% 19.83/13.41 tff(14014,plain,
% 19.83/13.41 (v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2))),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14013, 409, 14010])).
% 19.83/13.41 tff(14015,plain,
% 19.83/13.41 (~v123(constB110, bitIndex2)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14014, 14007])).
% 19.83/13.41 tff(14016,plain,
% 19.83/13.41 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB107)) | (~v124(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB107)) | (~v124(constB107, bitIndex0)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14017,plain,
% 19.83/13.41 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB107)) | (~v124(constB107, bitIndex0)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(14018,plain,
% 19.83/13.41 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB107)) | (~v124(constB107, bitIndex0))),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[14017, 14016])).
% 19.83/13.41 tff(14019,plain,
% 19.83/13.41 (~v124(constB107, bitIndex0)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14018, 1850, 13826])).
% 19.83/13.41 tff(14020,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14021,plain,
% 19.83/13.41 ((v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0))) <=> ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14022,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0)))),
% 19.83/13.41 inference(monotonicity,[status(thm)],[14021])).
% 19.83/13.41 tff(14023,plain,
% 19.83/13.41 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 19.83/13.41 inference(transitivity,[status(thm)],[14022, 14020])).
% 19.83/13.41 tff(14024,plain,
% 19.83/13.41 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(14025,plain,
% 19.83/13.41 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0)),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 19.83/13.41 tff(14026,plain,
% 19.83/13.41 ((~v121(constB107, bitIndex0)) | v124(constB107, bitIndex0)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14025, 885, 13838])).
% 19.83/13.41 tff(14027,plain,
% 19.83/13.41 (~v121(constB107, bitIndex0)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14026, 14019])).
% 19.83/13.41 tff(14028,plain,
% 19.83/13.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14029,plain,
% 19.83/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(14030,plain,
% 19.83/13.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0))),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[14029, 14028])).
% 19.83/13.41 tff(14031,plain,
% 19.83/13.41 (v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0))),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14030, 903, 13850])).
% 19.83/13.41 tff(14032,plain,
% 19.83/13.41 (~v123(constB108, bitIndex0)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14031, 14027])).
% 19.83/13.41 tff(14033,plain,
% 19.83/13.41 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14034,plain,
% 19.83/13.41 (((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0)) <=> ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 19.83/13.41 inference(rewrite,[status(thm)],[])).
% 19.83/13.41 tff(14035,plain,
% 19.83/13.41 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108))))),
% 19.83/13.41 inference(monotonicity,[status(thm)],[14034])).
% 19.83/13.41 tff(14036,plain,
% 19.83/13.41 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 19.83/13.41 inference(transitivity,[status(thm)],[14035, 14033])).
% 19.83/13.41 tff(14037,plain,
% 19.83/13.41 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))),
% 19.83/13.41 inference(quant_inst,[status(thm)],[])).
% 19.83/13.41 tff(14038,plain,
% 19.83/13.41 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108))),
% 19.83/13.41 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 19.83/13.41 tff(14039,plain,
% 19.83/13.41 ((~v84(constB108, bitIndex0)) | (~v94(constB108))),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14038, 918, 14032])).
% 19.83/13.41 tff(14040,plain,
% 19.83/13.41 (~v84(constB108, bitIndex0)),
% 19.83/13.41 inference(unit_resolution,[status(thm)],[14039, 13884])).
% 19.83/13.42 tff(14041,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14042,plain,
% 19.83/13.42 (((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0))) <=> (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14043,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14042])).
% 19.83/13.42 tff(14044,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14043, 14041])).
% 19.83/13.42 tff(14045,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14046,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 19.83/13.42 tff(14047,plain,
% 19.83/13.42 (v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14046, 163, 13912])).
% 19.83/13.42 tff(14048,plain,
% 19.83/13.42 (v84(constB108, bitIndex0) | (~v84(constB109, bitIndex0))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14047, 13924])).
% 19.83/13.42 tff(14049,plain,
% 19.83/13.42 (~v84(constB109, bitIndex0)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14048, 14040])).
% 19.83/13.42 tff(14050,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14051,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14052,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109)),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14051, 14050])).
% 19.83/13.42 tff(14053,plain,
% 19.83/13.42 (v119(constB109)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14052, 1894, 14049, 13972, 13933])).
% 19.83/13.42 tff(14054,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB109) | (~v119(constB109)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB109) | (~v119(constB109)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14055,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB109) | (~v119(constB109)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14056,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB109) | (~v119(constB109))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14055, 14054])).
% 19.83/13.42 tff(14057,plain,
% 19.83/13.42 (v107(constB109)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14056, 1905, 14053])).
% 19.83/13.42 tff(14058,assumption,(~v102(constB109)), introduced(assumption)).
% 19.83/13.42 tff(14059,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB109) | (~v106(constB109)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB109) | (~v106(constB109)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14060,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB109) | (~v106(constB109)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14061,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB109) | (~v106(constB109))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14060, 14059])).
% 19.83/13.42 tff(14062,plain,
% 19.83/13.42 (~v106(constB109)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14061, 276, 14058])).
% 19.83/13.42 tff(14063,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB109) | (~v26(constB109)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB109) | (~v26(constB109)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14064,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB109) | (~v26(constB109)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14065,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB109) | (~v26(constB109))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 19.83/13.42 tff(14066,plain,
% 19.83/13.42 (~v26(constB109)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14065, 670, 14058])).
% 19.83/13.42 tff(14067,assumption,(v107(constB109)), introduced(assumption)).
% 19.83/13.42 tff(14068,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14069,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14070,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | (~v107(constB109)) | v106(constB109)),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14069, 14068])).
% 19.83/13.42 tff(14071,plain,
% 19.83/13.42 (v26(constB109) | v106(constB109)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14070, 264, 14067])).
% 19.83/13.42 tff(14072,plain,
% 19.83/13.42 ($false),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14071, 14066, 14062])).
% 19.83/13.42 tff(14073,plain,(v102(constB109) | (~v107(constB109))), inference(lemma,lemma(discharge,[]))).
% 19.83/13.42 tff(14074,plain,
% 19.83/13.42 (v102(constB109)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14073, 14057])).
% 19.83/13.42 tff(14075,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14076,plain,
% 19.83/13.42 (((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14077,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14076])).
% 19.83/13.42 tff(14078,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14077, 14075])).
% 19.83/13.42 tff(14079,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14080,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14079, 14078])).
% 19.83/13.42 tff(14081,plain,
% 19.83/13.42 (v104(constB110) | (~v102(constB109))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14080, 293, 14010])).
% 19.83/13.42 tff(14082,plain,
% 19.83/13.42 (v104(constB110)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14081, 14074])).
% 19.83/13.42 tff(14083,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14084,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14085,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14084, 14083])).
% 19.83/13.42 tff(14086,plain,
% 19.83/13.42 (~v98(constB110)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14085, 311, 14010, 13909])).
% 19.83/13.42 tff(14087,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14088,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14089,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110)),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14088, 14087])).
% 19.83/13.42 tff(14090,plain,
% 19.83/13.42 (v96(constB110) | v98(constB110)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14089, 325, 14010])).
% 19.83/13.42 tff(14091,plain,
% 19.83/13.42 (v96(constB110)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14090, 14086])).
% 19.83/13.42 tff(14092,plain,
% 19.83/13.42 (v1(constB110) <=> v1(constB110)),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14093,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 19.83/13.42 tff(14094,plain,
% 19.83/13.42 (v1(constB110)),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14093, 14092])).
% 19.83/13.42 tff(14095,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14096,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14097,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14096, 14095])).
% 19.83/13.42 tff(14098,plain,
% 19.83/13.42 (v95(constB110) | (~v96(constB110))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14097, 343, 14010, 14094])).
% 19.83/13.42 tff(14099,plain,
% 19.83/13.42 (v95(constB110)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14098, 14091])).
% 19.83/13.42 tff(14100,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14101,plain,
% 19.83/13.42 (((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110)) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14102,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14101])).
% 19.83/13.42 tff(14103,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14102, 14100])).
% 19.83/13.42 tff(14104,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14105,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 19.83/13.42 tff(14106,plain,
% 19.83/13.42 (v94(constB110) | (~v95(constB110)) | (~v104(constB110))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14105, 358, 14010])).
% 19.83/13.42 tff(14107,plain,
% 19.83/13.42 (v94(constB110) | (~v104(constB110))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14106, 14099])).
% 19.83/13.42 tff(14108,plain,
% 19.83/13.42 (v94(constB110)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14107, 14082])).
% 19.83/13.42 tff(14109,plain,
% 19.83/13.42 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14110,plain,
% 19.83/13.42 (((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2)) <=> ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14111,plain,
% 19.83/13.42 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14110])).
% 19.83/13.42 tff(14112,plain,
% 19.83/13.42 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14111, 14109])).
% 19.83/13.42 tff(14113,plain,
% 19.83/13.42 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14114,plain,
% 19.83/13.42 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14113, 14112])).
% 19.83/13.42 tff(14115,plain,
% 19.83/13.42 (~v84(constB110, bitIndex2)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14114, 424, 14108, 14015])).
% 19.83/13.42 tff(14116,plain,
% 19.83/13.42 ((~v1(constB111)) <=> (~v1(constB111))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14117,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 19.83/13.42 tff(14118,plain,
% 19.83/13.42 (~v1(constB111)),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14117, 14116])).
% 19.83/13.42 tff(14119,plain,
% 19.83/13.42 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14120,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 19.83/13.42 tff(14121,plain,
% 19.83/13.42 (nextState(constB110, constB111)),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14120, 14119])).
% 19.83/13.42 tff(14122,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14123,plain,
% 19.83/13.42 (((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14124,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14123])).
% 19.83/13.42 tff(14125,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14124, 14122])).
% 19.83/13.42 tff(14126,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14127,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14126, 14125])).
% 19.83/13.42 tff(14128,plain,
% 19.83/13.42 (~v95(constB111)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14127, 89, 14121, 14118])).
% 19.83/13.42 tff(14129,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14130,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14131,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14130, 14129])).
% 19.83/13.42 tff(14132,plain,
% 19.83/13.42 (v95(constB111) | (~v94(constB111))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14131, 106, 14121])).
% 19.83/13.42 tff(14133,plain,
% 19.83/13.42 (~v94(constB111)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14132, 14128])).
% 19.83/13.42 tff(14134,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14135,plain,
% 19.83/13.42 (((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2))) <=> (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14136,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14135])).
% 19.83/13.42 tff(14137,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14136, 14134])).
% 19.83/13.42 tff(14138,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14139,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14138, 14137])).
% 19.83/13.42 tff(14140,plain,
% 19.83/13.42 (v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14139, 121, 14121])).
% 19.83/13.42 tff(14141,plain,
% 19.83/13.42 (v84(constB110, bitIndex2) | (~v84(constB111, bitIndex2))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14140, 14133])).
% 19.83/13.42 tff(14142,plain,
% 19.83/13.42 (~v84(constB111, bitIndex2)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14141, 14115])).
% 19.83/13.42 tff(14143,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14144,plain,
% 19.83/13.42 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex1))) <=> (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14145,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14144])).
% 19.83/13.42 tff(14146,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14145, 14143])).
% 19.83/13.42 tff(14147,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex1)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14148,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14147, 14146])).
% 19.83/13.42 tff(14149,plain,
% 19.83/13.42 (~v124(constB109, bitIndex1)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14148, 2102, 13988, 13984, 13980, 13976, 13941, 13937])).
% 19.83/13.42 tff(14150,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14151,plain,
% 19.83/13.42 ((v26(constB109) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1))) <=> ((~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14152,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB109) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1)))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14151])).
% 19.83/13.42 tff(14153,plain,
% 19.83/13.42 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB109) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14152, 14150])).
% 19.83/13.42 tff(14154,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB109) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14155,plain,
% 19.83/13.42 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1)),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14154, 14153])).
% 19.83/13.42 tff(14156,plain,
% 19.83/13.42 ((~v121(constB109, bitIndex1)) | v124(constB109, bitIndex1)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14155, 483, 13999])).
% 19.83/13.42 tff(14157,plain,
% 19.83/13.42 (~v121(constB109, bitIndex1)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14156, 14149])).
% 19.83/13.42 tff(14158,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14159,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1)))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14160,plain,
% 19.83/13.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14159, 14158])).
% 19.83/13.42 tff(14161,plain,
% 19.83/13.42 (v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1))),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14160, 501, 14010])).
% 19.83/13.42 tff(14162,plain,
% 19.83/13.42 (~v123(constB110, bitIndex1)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14161, 14157])).
% 19.83/13.42 tff(14163,plain,
% 19.83/13.42 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14164,plain,
% 19.83/13.42 (((~v84(constB110, bitIndex1)) | (~v94(constB110)) | v123(constB110, bitIndex1)) <=> ((~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14165,plain,
% 19.83/13.42 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~v94(constB110)) | v123(constB110, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14164])).
% 19.83/13.42 tff(14166,plain,
% 19.83/13.42 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~v94(constB110)) | v123(constB110, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14165, 14163])).
% 19.83/13.42 tff(14167,plain,
% 19.83/13.42 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~v94(constB110)) | v123(constB110, bitIndex1))),
% 19.83/13.42 inference(quant_inst,[status(thm)],[])).
% 19.83/13.42 tff(14168,plain,
% 19.83/13.42 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110))),
% 19.83/13.42 inference(modus_ponens,[status(thm)],[14167, 14166])).
% 19.83/13.42 tff(14169,plain,
% 19.83/13.42 (~v84(constB110, bitIndex1)),
% 19.83/13.42 inference(unit_resolution,[status(thm)],[14168, 516, 14108, 14162])).
% 19.83/13.42 tff(14170,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14171,plain,
% 19.83/13.42 (((~nextState(constB110, constB111)) | v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1))) <=> (v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1)))),
% 19.83/13.42 inference(rewrite,[status(thm)],[])).
% 19.83/13.42 tff(14172,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1))))),
% 19.83/13.42 inference(monotonicity,[status(thm)],[14171])).
% 19.83/13.42 tff(14173,plain,
% 19.83/13.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1)))),
% 19.83/13.42 inference(transitivity,[status(thm)],[14172, 14170])).
% 19.83/13.43 tff(14174,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14175,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14174, 14173])).
% 19.83/13.43 tff(14176,plain,
% 19.83/13.43 (v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1))),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14175, 142, 14121])).
% 19.83/13.43 tff(14177,plain,
% 19.83/13.43 (v84(constB110, bitIndex1) | (~v84(constB111, bitIndex1))),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14176, 14133])).
% 19.83/13.43 tff(14178,plain,
% 19.83/13.43 (~v84(constB111, bitIndex1)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14177, 14169])).
% 19.83/13.43 tff(14179,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14180,plain,
% 19.83/13.43 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | v124(constB109, bitIndex0)) <=> (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14181,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | v124(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0)))),
% 19.83/13.43 inference(monotonicity,[status(thm)],[14180])).
% 19.83/13.43 tff(14182,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | v124(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0))),
% 19.83/13.43 inference(transitivity,[status(thm)],[14181, 14179])).
% 19.83/13.43 tff(14183,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | v124(constB109, bitIndex0))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14184,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14183, 14182])).
% 19.83/13.43 tff(14185,plain,
% 19.83/13.43 (v124(constB109, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14184, 2149, 13988, 13984, 13980, 13976, 13941, 13937])).
% 19.83/13.43 tff(14186,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14187,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14188,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14187, 14186])).
% 19.83/13.43 tff(14189,plain,
% 19.83/13.43 ((~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14188, 557, 13999])).
% 19.83/13.43 tff(14190,plain,
% 19.83/13.43 (v121(constB109, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14189, 14185])).
% 19.83/13.43 tff(14191,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14192,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14193,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 19.83/13.43 tff(14194,plain,
% 19.83/13.43 ((~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14193, 572, 14010])).
% 19.83/13.43 tff(14195,plain,
% 19.83/13.43 (v123(constB110, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14194, 14190])).
% 19.83/13.43 tff(14196,plain,
% 19.83/13.43 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14197,plain,
% 19.83/13.43 ((v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0))) <=> (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14198,plain,
% 19.83/13.43 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110))))),
% 19.83/13.43 inference(monotonicity,[status(thm)],[14197])).
% 19.83/13.43 tff(14199,plain,
% 19.83/13.43 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 19.83/13.43 inference(transitivity,[status(thm)],[14198, 14196])).
% 19.83/13.43 tff(14200,plain,
% 19.83/13.43 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14201,plain,
% 19.83/13.43 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14200, 14199])).
% 19.83/13.43 tff(14202,plain,
% 19.83/13.43 (v84(constB110, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14201, 587, 14108, 14195])).
% 19.83/13.43 tff(14203,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14204,plain,
% 19.83/13.43 (((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0)) <=> ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14205,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0)))),
% 19.83/13.43 inference(monotonicity,[status(thm)],[14204])).
% 19.83/13.43 tff(14206,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 19.83/13.43 inference(transitivity,[status(thm)],[14205, 14203])).
% 19.83/13.43 tff(14207,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14208,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14207, 14206])).
% 19.83/13.43 tff(14209,plain,
% 19.83/13.43 ((~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14208, 605, 14121])).
% 19.83/13.43 tff(14210,plain,
% 19.83/13.43 ((~v84(constB110, bitIndex0)) | v84(constB111, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14209, 14133])).
% 19.83/13.43 tff(14211,plain,
% 19.83/13.43 (v84(constB111, bitIndex0)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14210, 14202])).
% 19.83/13.43 tff(14212,plain,
% 19.83/13.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14213,plain,
% 19.83/13.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14214,plain,
% 19.83/13.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14213, 14212])).
% 19.83/13.43 tff(14215,plain,
% 19.83/13.43 (v145(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14214, 624, 14211, 14178, 14142])).
% 19.83/13.43 tff(14216,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB111) | (~v145(constB111)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB111) | (~v145(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14217,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB111) | (~v145(constB111)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14218,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB111) | (~v145(constB111))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 19.83/13.43 tff(14219,plain,
% 19.83/13.43 (v112(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14218, 681, 14215])).
% 19.83/13.43 tff(14220,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB111) | (~v112(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14221,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB111) | (~v112(constB111)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14222,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB111) | (~v112(constB111))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 19.83/13.43 tff(14223,plain,
% 19.83/13.43 (v111(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14222, 206, 14219])).
% 19.83/13.43 tff(14224,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB111) | (~v111(constB111)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB111) | (~v111(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14225,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB111) | (~v111(constB111)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14226,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB111) | (~v111(constB111))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14225, 14224])).
% 19.83/13.43 tff(14227,plain,
% 19.83/13.43 (v110(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14226, 217, 14223])).
% 19.83/13.43 tff(14228,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB111) | (~v110(constB111)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB111) | (~v110(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14229,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB111) | (~v110(constB111)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14230,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB111) | (~v110(constB111))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 19.83/13.43 tff(14231,plain,
% 19.83/13.43 (v109(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14230, 228, 14227])).
% 19.83/13.43 tff(14232,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB111) | (~v109(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB111) | (~v109(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14233,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB111) | (~v109(constB111)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14234,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB111) | (~v109(constB111))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 19.83/13.43 tff(14235,plain,
% 19.83/13.43 (v108(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14234, 239, 14231])).
% 19.83/13.43 tff(14236,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB111) | (~v108(constB111)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB111) | (~v108(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14237,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB111) | (~v108(constB111)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14238,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB111) | (~v108(constB111))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 19.83/13.43 tff(14239,plain,
% 19.83/13.43 (v107(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14238, 250, 14235])).
% 19.83/13.43 tff(14240,assumption,(v26(constB111)), introduced(assumption)).
% 19.83/13.43 tff(14241,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14242,plain,
% 19.83/13.43 ($false),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14241, 18, 14240])).
% 19.83/13.43 tff(14243,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.43 tff(14244,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | (~v107(constB111)) | v106(constB111))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14245,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14246,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | (~v107(constB111)) | v106(constB111)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14245, 14244])).
% 19.83/13.43 tff(14247,plain,
% 19.83/13.43 ((~v107(constB111)) | v106(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14246, 264, 14243])).
% 19.83/13.43 tff(14248,plain,
% 19.83/13.43 (v106(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14247, 14239])).
% 19.83/13.43 tff(14249,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB111) | (~v106(constB111)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB111) | (~v106(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14250,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB111) | (~v106(constB111)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14251,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB111) | (~v106(constB111))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14250, 14249])).
% 19.83/13.43 tff(14252,plain,
% 19.83/13.43 (v102(constB111)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14251, 276, 14248])).
% 19.83/13.43 tff(14253,plain,
% 19.83/13.43 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14254,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 19.83/13.43 tff(14255,plain,
% 19.83/13.43 (nextState(constB111, constB112)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 19.83/13.43 tff(14256,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14257,plain,
% 19.83/13.43 (((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14258,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))))),
% 19.83/13.43 inference(monotonicity,[status(thm)],[14257])).
% 19.83/13.43 tff(14259,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 19.83/13.43 inference(transitivity,[status(thm)],[14258, 14256])).
% 19.83/13.43 tff(14260,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14261,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 19.83/13.43 tff(14262,plain,
% 19.83/13.43 (v104(constB112) | (~v102(constB111))),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14261, 293, 14255])).
% 19.83/13.43 tff(14263,plain,
% 19.83/13.43 (v104(constB112)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14262, 14252])).
% 19.83/13.43 tff(14264,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14265,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14266,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14265, 14264])).
% 19.83/13.43 tff(14267,plain,
% 19.83/13.43 (~v98(constB112)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14266, 311, 14255, 14118])).
% 19.83/13.43 tff(14268,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14269,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14270,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 19.83/13.43 tff(14271,plain,
% 19.83/13.43 (v96(constB112) | v98(constB112)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14270, 325, 14255])).
% 19.83/13.43 tff(14272,plain,
% 19.83/13.43 (v96(constB112)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14271, 14267])).
% 19.83/13.43 tff(14273,plain,
% 19.83/13.43 (v1(constB112) <=> v1(constB112)),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14274,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 19.83/13.43 tff(14275,plain,
% 19.83/13.43 (v1(constB112)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14274, 14273])).
% 19.83/13.43 tff(14276,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14277,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14278,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 19.83/13.43 tff(14279,plain,
% 19.83/13.43 (v95(constB112) | (~v96(constB112))),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14278, 343, 14255, 14275])).
% 19.83/13.43 tff(14280,plain,
% 19.83/13.43 (v95(constB112)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14279, 14272])).
% 19.83/13.43 tff(14281,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14282,plain,
% 19.83/13.43 (((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112)) <=> ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14283,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112))))),
% 19.83/13.43 inference(monotonicity,[status(thm)],[14282])).
% 19.83/13.43 tff(14284,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 19.83/13.43 inference(transitivity,[status(thm)],[14283, 14281])).
% 19.83/13.43 tff(14285,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14286,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14285, 14284])).
% 19.83/13.43 tff(14287,plain,
% 19.83/13.43 (v94(constB112) | (~v95(constB112)) | (~v104(constB112))),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14286, 358, 14255])).
% 19.83/13.43 tff(14288,plain,
% 19.83/13.43 (v94(constB112) | (~v104(constB112))),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14287, 14280])).
% 19.83/13.43 tff(14289,plain,
% 19.83/13.43 (v94(constB112)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14288, 14263])).
% 19.83/13.43 tff(14290,plain,
% 19.83/13.43 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB111)) | (~v124(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB111)) | (~v124(constB111, bitIndex2)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14291,plain,
% 19.83/13.43 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB111)) | (~v124(constB111, bitIndex2)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14292,plain,
% 19.83/13.43 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB111)) | (~v124(constB111, bitIndex2))),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14291, 14290])).
% 19.83/13.43 tff(14293,plain,
% 19.83/13.43 (~v124(constB111, bitIndex2)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14292, 638, 14215])).
% 19.83/13.43 tff(14294,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14295,plain,
% 19.83/13.43 ((v26(constB111) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2))) <=> ((~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14296,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB111) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2)))),
% 19.83/13.43 inference(monotonicity,[status(thm)],[14295])).
% 19.83/13.43 tff(14297,plain,
% 19.83/13.43 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB111) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2))),
% 19.83/13.43 inference(transitivity,[status(thm)],[14296, 14294])).
% 19.83/13.43 tff(14298,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB111) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14299,plain,
% 19.83/13.43 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2)),
% 19.83/13.43 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 19.83/13.43 tff(14300,plain,
% 19.83/13.43 ((~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14299, 391, 14243])).
% 19.83/13.43 tff(14301,plain,
% 19.83/13.43 (~v121(constB111, bitIndex2)),
% 19.83/13.43 inference(unit_resolution,[status(thm)],[14300, 14293])).
% 19.83/13.43 tff(14302,plain,
% 19.83/13.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2)))),
% 19.83/13.43 inference(rewrite,[status(thm)],[])).
% 19.83/13.43 tff(14303,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2)))),
% 19.83/13.43 inference(quant_inst,[status(thm)],[])).
% 19.83/13.43 tff(14304,plain,
% 19.83/13.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14303, 14302])).
% 19.83/13.44 tff(14305,plain,
% 19.83/13.44 (v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14304, 409, 14255])).
% 19.83/13.44 tff(14306,plain,
% 19.83/13.44 (~v123(constB112, bitIndex2)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14305, 14301])).
% 19.83/13.44 tff(14307,plain,
% 19.83/13.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14308,plain,
% 19.83/13.44 (((~v84(constB112, bitIndex2)) | (~v94(constB112)) | v123(constB112, bitIndex2)) <=> ((~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14309,plain,
% 19.83/13.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | (~v94(constB112)) | v123(constB112, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112))))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14308])).
% 19.83/13.44 tff(14310,plain,
% 19.83/13.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | (~v94(constB112)) | v123(constB112, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112)))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14309, 14307])).
% 19.83/13.44 tff(14311,plain,
% 19.83/13.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB112, bitIndex2)) | (~v94(constB112)) | v123(constB112, bitIndex2))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14312,plain,
% 19.83/13.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14311, 14310])).
% 19.83/13.44 tff(14313,plain,
% 19.83/13.44 ((~v84(constB112, bitIndex2)) | (~v94(constB112))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14312, 424, 14306])).
% 19.83/13.44 tff(14314,plain,
% 19.83/13.44 (~v84(constB112, bitIndex2)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14313, 14289])).
% 19.83/13.44 tff(14315,plain,
% 19.83/13.44 ((~v1(constB113)) <=> (~v1(constB113))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14316,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 19.83/13.44 tff(14317,plain,
% 19.83/13.44 (~v1(constB113)),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14316, 14315])).
% 19.83/13.44 tff(14318,plain,
% 19.83/13.44 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14319,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 19.83/13.44 tff(14320,plain,
% 19.83/13.44 (nextState(constB112, constB113)),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 19.83/13.44 tff(14321,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14322,plain,
% 19.83/13.44 (((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14323,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14322])).
% 19.83/13.44 tff(14324,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14323, 14321])).
% 19.83/13.44 tff(14325,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14326,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14325, 14324])).
% 19.83/13.44 tff(14327,plain,
% 19.83/13.44 (~v95(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14326, 89, 14320, 14317])).
% 19.83/13.44 tff(14328,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14329,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14330,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 19.83/13.44 tff(14331,plain,
% 19.83/13.44 (v95(constB113) | (~v94(constB113))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14330, 106, 14320])).
% 19.83/13.44 tff(14332,plain,
% 19.83/13.44 (~v94(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14331, 14327])).
% 19.83/13.44 tff(14333,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14334,plain,
% 19.83/13.44 (((~nextState(constB112, constB113)) | v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2))) <=> (v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14335,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2))))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14334])).
% 19.83/13.44 tff(14336,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2)))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14335, 14333])).
% 19.83/13.44 tff(14337,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14338,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 19.83/13.44 tff(14339,plain,
% 19.83/13.44 (v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14338, 121, 14320])).
% 19.83/13.44 tff(14340,plain,
% 19.83/13.44 (v84(constB112, bitIndex2) | (~v84(constB113, bitIndex2))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14339, 14332])).
% 19.83/13.44 tff(14341,plain,
% 19.83/13.44 (~v84(constB113, bitIndex2)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14340, 14314])).
% 19.83/13.44 tff(14342,plain,
% 19.83/13.44 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB111)) | v124(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB111)) | v124(constB111, bitIndex1))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14343,plain,
% 19.83/13.44 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB111)) | v124(constB111, bitIndex1))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14344,plain,
% 19.83/13.44 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB111)) | v124(constB111, bitIndex1)),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14343, 14342])).
% 19.83/13.44 tff(14345,plain,
% 19.83/13.44 (v124(constB111, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14344, 790, 14215])).
% 19.83/13.44 tff(14346,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB111) | (~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB111) | (~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14347,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB111) | (~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14348,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB111) | (~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1)),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14347, 14346])).
% 19.83/13.44 tff(14349,plain,
% 19.83/13.44 ((~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14348, 804, 14243])).
% 19.83/13.44 tff(14350,plain,
% 19.83/13.44 (v121(constB111, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14349, 14345])).
% 19.83/13.44 tff(14351,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14352,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14353,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1)),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14352, 14351])).
% 19.83/13.44 tff(14354,plain,
% 19.83/13.44 ((~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14353, 819, 14255])).
% 19.83/13.44 tff(14355,plain,
% 19.83/13.44 (v123(constB112, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14354, 14350])).
% 19.83/13.44 tff(14356,plain,
% 19.83/13.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14357,plain,
% 19.83/13.44 ((v84(constB112, bitIndex1) | (~v94(constB112)) | (~v123(constB112, bitIndex1))) <=> (v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14358,plain,
% 19.83/13.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v94(constB112)) | (~v123(constB112, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112))))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14357])).
% 19.83/13.44 tff(14359,plain,
% 19.83/13.44 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v94(constB112)) | (~v123(constB112, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112)))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14358, 14356])).
% 19.83/13.44 tff(14360,plain,
% 19.83/13.44 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v94(constB112)) | (~v123(constB112, bitIndex1)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14361,plain,
% 19.83/13.44 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14360, 14359])).
% 19.83/13.44 tff(14362,plain,
% 19.83/13.44 (v84(constB112, bitIndex1) | (~v94(constB112))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14361, 834, 14355])).
% 19.83/13.44 tff(14363,plain,
% 19.83/13.44 (v84(constB112, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14362, 14289])).
% 19.83/13.44 tff(14364,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14365,plain,
% 19.83/13.44 (((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1)) <=> ((~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14366,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1)))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14365])).
% 19.83/13.44 tff(14367,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14366, 14364])).
% 19.83/13.44 tff(14368,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14369,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1)),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14368, 14367])).
% 19.83/13.44 tff(14370,plain,
% 19.83/13.44 ((~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14369, 852, 14320])).
% 19.83/13.44 tff(14371,plain,
% 19.83/13.44 ((~v84(constB112, bitIndex1)) | v84(constB113, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14370, 14332])).
% 19.83/13.44 tff(14372,plain,
% 19.83/13.44 (v84(constB113, bitIndex1)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14371, 14363])).
% 19.83/13.44 tff(14373,plain,
% 19.83/13.44 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB111)) | (~v124(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB111)) | (~v124(constB111, bitIndex0)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14374,plain,
% 19.83/13.44 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB111)) | (~v124(constB111, bitIndex0)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14375,plain,
% 19.83/13.44 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB111)) | (~v124(constB111, bitIndex0))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14374, 14373])).
% 19.83/13.44 tff(14376,plain,
% 19.83/13.44 (~v124(constB111, bitIndex0)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14375, 871, 14215])).
% 19.83/13.44 tff(14377,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14378,plain,
% 19.83/13.44 ((v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0))) <=> ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14379,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0)))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14378])).
% 19.83/13.44 tff(14380,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14379, 14377])).
% 19.83/13.44 tff(14381,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14382,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0)),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14381, 14380])).
% 19.83/13.44 tff(14383,plain,
% 19.83/13.44 ((~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14382, 885, 14243])).
% 19.83/13.44 tff(14384,plain,
% 19.83/13.44 (~v121(constB111, bitIndex0)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14383, 14376])).
% 19.83/13.44 tff(14385,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14386,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14387,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 19.83/13.44 tff(14388,plain,
% 19.83/13.44 (v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14387, 903, 14255])).
% 19.83/13.44 tff(14389,plain,
% 19.83/13.44 (~v123(constB112, bitIndex0)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14388, 14384])).
% 19.83/13.44 tff(14390,plain,
% 19.83/13.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14391,plain,
% 19.83/13.44 (((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0)) <=> ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14392,plain,
% 19.83/13.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112))))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14391])).
% 19.83/13.44 tff(14393,plain,
% 19.83/13.44 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14392, 14390])).
% 19.83/13.44 tff(14394,plain,
% 19.83/13.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14395,plain,
% 19.83/13.44 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 19.83/13.44 tff(14396,plain,
% 19.83/13.44 ((~v84(constB112, bitIndex0)) | (~v94(constB112))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14395, 918, 14389])).
% 19.83/13.44 tff(14397,plain,
% 19.83/13.44 (~v84(constB112, bitIndex0)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14396, 14289])).
% 19.83/13.44 tff(14398,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14399,plain,
% 19.83/13.44 (((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0))) <=> (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14400,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0))))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14399])).
% 19.83/13.44 tff(14401,plain,
% 19.83/13.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14400, 14398])).
% 19.83/13.44 tff(14402,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14403,plain,
% 19.83/13.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14402, 14401])).
% 19.83/13.44 tff(14404,plain,
% 19.83/13.44 (v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14403, 163, 14320])).
% 19.83/13.44 tff(14405,plain,
% 19.83/13.44 (v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14404, 14332])).
% 19.83/13.44 tff(14406,plain,
% 19.83/13.44 (~v84(constB113, bitIndex0)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14405, 14397])).
% 19.83/13.44 tff(14407,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14408,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14409,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113)),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14408, 14407])).
% 19.83/13.44 tff(14410,plain,
% 19.83/13.44 (v115(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14409, 945, 14406, 14372, 14341])).
% 19.83/13.44 tff(14411,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB113) | (~v115(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14412,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB113) | (~v115(constB113)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14413,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB113) | (~v115(constB113))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14412, 14411])).
% 19.83/13.44 tff(14414,plain,
% 19.83/13.44 (v111(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14413, 956, 14410])).
% 19.83/13.44 tff(14415,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB113) | (~v111(constB113)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB113) | (~v111(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14416,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB113) | (~v111(constB113)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14417,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB113) | (~v111(constB113))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14416, 14415])).
% 19.83/13.44 tff(14418,plain,
% 19.83/13.44 (v110(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14417, 217, 14414])).
% 19.83/13.44 tff(14419,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB113) | (~v110(constB113)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB113) | (~v110(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14420,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB113) | (~v110(constB113)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14421,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB113) | (~v110(constB113))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14420, 14419])).
% 19.83/13.44 tff(14422,plain,
% 19.83/13.44 (v109(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14421, 228, 14418])).
% 19.83/13.44 tff(14423,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB113) | (~v109(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB113) | (~v109(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14424,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB113) | (~v109(constB113)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14425,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB113) | (~v109(constB113))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14424, 14423])).
% 19.83/13.44 tff(14426,plain,
% 19.83/13.44 (v108(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14425, 239, 14422])).
% 19.83/13.44 tff(14427,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB113) | (~v108(constB113)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB113) | (~v108(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14428,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB113) | (~v108(constB113)))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14429,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB113) | (~v108(constB113))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14428, 14427])).
% 19.83/13.44 tff(14430,plain,
% 19.83/13.44 (v107(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14429, 250, 14426])).
% 19.83/13.44 tff(14431,assumption,(v26(constB113)), introduced(assumption)).
% 19.83/13.44 tff(14432,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14433,plain,
% 19.83/13.44 ($false),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14432, 18, 14431])).
% 19.83/13.44 tff(14434,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.44 tff(14435,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | v106(constB113) | (~v107(constB113)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | v106(constB113) | (~v107(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14436,plain,
% 19.83/13.44 ((v26(constB113) | (~v107(constB113)) | v106(constB113)) <=> (v26(constB113) | v106(constB113) | (~v107(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14437,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | v106(constB113) | (~v107(constB113))))),
% 19.83/13.44 inference(monotonicity,[status(thm)],[14436])).
% 19.83/13.44 tff(14438,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | v106(constB113) | (~v107(constB113)))),
% 19.83/13.44 inference(transitivity,[status(thm)],[14437, 14435])).
% 19.83/13.44 tff(14439,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))),
% 19.83/13.44 inference(quant_inst,[status(thm)],[])).
% 19.83/13.44 tff(14440,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | v106(constB113) | (~v107(constB113))),
% 19.83/13.44 inference(modus_ponens,[status(thm)],[14439, 14438])).
% 19.83/13.44 tff(14441,plain,
% 19.83/13.44 (v106(constB113) | (~v107(constB113))),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14440, 264, 14434])).
% 19.83/13.44 tff(14442,plain,
% 19.83/13.44 (v106(constB113)),
% 19.83/13.44 inference(unit_resolution,[status(thm)],[14441, 14430])).
% 19.83/13.44 tff(14443,plain,
% 19.83/13.44 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB113) | (~v106(constB113)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB113) | (~v106(constB113)))),
% 19.83/13.44 inference(rewrite,[status(thm)],[])).
% 19.83/13.44 tff(14444,plain,
% 19.83/13.44 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB113) | (~v106(constB113)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14445,plain,
% 19.83/13.45 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB113) | (~v106(constB113))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14444, 14443])).
% 19.83/13.45 tff(14446,plain,
% 19.83/13.45 (v102(constB113)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14445, 276, 14442])).
% 19.83/13.45 tff(14447,plain,
% 19.83/13.45 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14448,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 19.83/13.45 tff(14449,plain,
% 19.83/13.45 (nextState(constB113, constB114)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 19.83/13.45 tff(14450,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14451,plain,
% 19.83/13.45 (((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14452,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))))),
% 19.83/13.45 inference(monotonicity,[status(thm)],[14451])).
% 19.83/13.45 tff(14453,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 19.83/13.45 inference(transitivity,[status(thm)],[14452, 14450])).
% 19.83/13.45 tff(14454,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14455,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14454, 14453])).
% 19.83/13.45 tff(14456,plain,
% 19.83/13.45 (v104(constB114) | (~v102(constB113))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14455, 293, 14449])).
% 19.83/13.45 tff(14457,plain,
% 19.83/13.45 (v104(constB114)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14456, 14446])).
% 19.83/13.45 tff(14458,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14459,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14460,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14459, 14458])).
% 19.83/13.45 tff(14461,plain,
% 19.83/13.45 (~v98(constB114)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14460, 311, 14449, 14317])).
% 19.83/13.45 tff(14462,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14463,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14464,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14463, 14462])).
% 19.83/13.45 tff(14465,plain,
% 19.83/13.45 (v96(constB114) | v98(constB114)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14464, 325, 14449])).
% 19.83/13.45 tff(14466,plain,
% 19.83/13.45 (v96(constB114)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14465, 14461])).
% 19.83/13.45 tff(14467,plain,
% 19.83/13.45 (v1(constB114) <=> v1(constB114)),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14468,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 19.83/13.45 tff(14469,plain,
% 19.83/13.45 (v1(constB114)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14468, 14467])).
% 19.83/13.45 tff(14470,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14471,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14472,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14471, 14470])).
% 19.83/13.45 tff(14473,plain,
% 19.83/13.45 (v95(constB114) | (~v96(constB114))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14472, 343, 14449, 14469])).
% 19.83/13.45 tff(14474,plain,
% 19.83/13.45 (v95(constB114)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14473, 14466])).
% 19.83/13.45 tff(14475,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14476,plain,
% 19.83/13.45 (((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114)) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14477,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114))))),
% 19.83/13.45 inference(monotonicity,[status(thm)],[14476])).
% 19.83/13.45 tff(14478,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 19.83/13.45 inference(transitivity,[status(thm)],[14477, 14475])).
% 19.83/13.45 tff(14479,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14480,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14479, 14478])).
% 19.83/13.45 tff(14481,plain,
% 19.83/13.45 (v94(constB114) | (~v95(constB114)) | (~v104(constB114))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14480, 358, 14449])).
% 19.83/13.45 tff(14482,plain,
% 19.83/13.45 (v94(constB114) | (~v104(constB114))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14481, 14474])).
% 19.83/13.45 tff(14483,plain,
% 19.83/13.45 (v94(constB114)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14482, 14457])).
% 19.83/13.45 tff(14484,plain,
% 19.83/13.45 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB113)) | (~v124(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB113)) | (~v124(constB113, bitIndex2)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14485,plain,
% 19.83/13.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB113)) | (~v124(constB113, bitIndex2)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14486,plain,
% 19.83/13.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB113)) | (~v124(constB113, bitIndex2))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14485, 14484])).
% 19.83/13.45 tff(14487,plain,
% 19.83/13.45 (~v124(constB113, bitIndex2)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14486, 1032, 14410])).
% 19.83/13.45 tff(14488,plain,
% 19.83/13.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14489,plain,
% 19.83/13.45 ((v26(constB113) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2))) <=> ((~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14490,plain,
% 19.83/13.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB113) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2)))),
% 19.83/13.45 inference(monotonicity,[status(thm)],[14489])).
% 19.83/13.45 tff(14491,plain,
% 19.83/13.45 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB113) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2))),
% 19.83/13.45 inference(transitivity,[status(thm)],[14490, 14488])).
% 19.83/13.45 tff(14492,plain,
% 19.83/13.45 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB113) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14493,plain,
% 19.83/13.45 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 19.83/13.45 tff(14494,plain,
% 19.83/13.45 ((~v121(constB113, bitIndex2)) | v124(constB113, bitIndex2)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14493, 391, 14434])).
% 19.83/13.45 tff(14495,plain,
% 19.83/13.45 (~v121(constB113, bitIndex2)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14494, 14487])).
% 19.83/13.45 tff(14496,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14497,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14498,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 19.83/13.45 tff(14499,plain,
% 19.83/13.45 (v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14498, 409, 14449])).
% 19.83/13.45 tff(14500,plain,
% 19.83/13.45 (~v123(constB114, bitIndex2)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14499, 14495])).
% 19.83/13.45 tff(14501,plain,
% 19.83/13.45 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14502,plain,
% 19.83/13.45 (((~v84(constB114, bitIndex2)) | (~v94(constB114)) | v123(constB114, bitIndex2)) <=> ((~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14503,plain,
% 19.83/13.45 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | (~v94(constB114)) | v123(constB114, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114))))),
% 19.83/13.45 inference(monotonicity,[status(thm)],[14502])).
% 19.83/13.45 tff(14504,plain,
% 19.83/13.45 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | (~v94(constB114)) | v123(constB114, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114)))),
% 19.83/13.45 inference(transitivity,[status(thm)],[14503, 14501])).
% 19.83/13.45 tff(14505,plain,
% 19.83/13.45 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB114, bitIndex2)) | (~v94(constB114)) | v123(constB114, bitIndex2))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14506,plain,
% 19.83/13.45 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14505, 14504])).
% 19.83/13.45 tff(14507,plain,
% 19.83/13.45 ((~v84(constB114, bitIndex2)) | (~v94(constB114))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14506, 424, 14500])).
% 19.83/13.45 tff(14508,plain,
% 19.83/13.45 (~v84(constB114, bitIndex2)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14507, 14483])).
% 19.83/13.45 tff(14509,plain,
% 19.83/13.45 ((~v1(constB115)) <=> (~v1(constB115))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14510,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 19.83/13.45 tff(14511,plain,
% 19.83/13.45 (~v1(constB115)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14510, 14509])).
% 19.83/13.45 tff(14512,plain,
% 19.83/13.45 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14513,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 19.83/13.45 tff(14514,plain,
% 19.83/13.45 (nextState(constB114, constB115)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14513, 14512])).
% 19.83/13.45 tff(14515,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14516,plain,
% 19.83/13.45 (((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14517,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))))),
% 19.83/13.45 inference(monotonicity,[status(thm)],[14516])).
% 19.83/13.45 tff(14518,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 19.83/13.45 inference(transitivity,[status(thm)],[14517, 14515])).
% 19.83/13.45 tff(14519,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14520,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14519, 14518])).
% 19.83/13.45 tff(14521,plain,
% 19.83/13.45 (~v95(constB115)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14520, 89, 14514, 14511])).
% 19.83/13.45 tff(14522,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14523,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14524,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 19.83/13.45 tff(14525,plain,
% 19.83/13.45 (v95(constB115) | (~v94(constB115))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14524, 106, 14514])).
% 19.83/13.45 tff(14526,plain,
% 19.83/13.45 (~v94(constB115)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14525, 14521])).
% 19.83/13.45 tff(14527,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14528,plain,
% 19.83/13.45 (((~nextState(constB114, constB115)) | v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2))) <=> (v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14529,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2))))),
% 19.83/13.45 inference(monotonicity,[status(thm)],[14528])).
% 19.83/13.45 tff(14530,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2)))),
% 19.83/13.45 inference(transitivity,[status(thm)],[14529, 14527])).
% 19.83/13.45 tff(14531,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14532,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14531, 14530])).
% 19.83/13.45 tff(14533,plain,
% 19.83/13.45 (v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14532, 121, 14514])).
% 19.83/13.45 tff(14534,plain,
% 19.83/13.45 (v84(constB114, bitIndex2) | (~v84(constB115, bitIndex2))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14533, 14526])).
% 19.83/13.45 tff(14535,plain,
% 19.83/13.45 (~v84(constB115, bitIndex2)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14534, 14508])).
% 19.83/13.45 tff(14536,plain,
% 19.83/13.45 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB113)) | v124(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB113)) | v124(constB113, bitIndex1))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14537,plain,
% 19.83/13.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB113)) | v124(constB113, bitIndex1))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14538,plain,
% 19.83/13.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB113)) | v124(constB113, bitIndex1)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14537, 14536])).
% 19.83/13.45 tff(14539,plain,
% 19.83/13.45 (v124(constB113, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14538, 1094, 14410])).
% 19.83/13.45 tff(14540,plain,
% 19.83/13.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14541,plain,
% 19.83/13.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14542,plain,
% 19.83/13.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14541, 14540])).
% 19.83/13.45 tff(14543,plain,
% 19.83/13.45 ((~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14542, 804, 14434])).
% 19.83/13.45 tff(14544,plain,
% 19.83/13.45 (v121(constB113, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14543, 14539])).
% 19.83/13.45 tff(14545,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14546,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14547,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14546, 14545])).
% 19.83/13.45 tff(14548,plain,
% 19.83/13.45 ((~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14547, 819, 14449])).
% 19.83/13.45 tff(14549,plain,
% 19.83/13.45 (v123(constB114, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14548, 14544])).
% 19.83/13.45 tff(14550,plain,
% 19.83/13.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14551,plain,
% 19.83/13.45 ((v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1))) <=> (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14552,plain,
% 19.83/13.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114))))),
% 19.83/13.45 inference(monotonicity,[status(thm)],[14551])).
% 19.83/13.45 tff(14553,plain,
% 19.83/13.45 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 19.83/13.45 inference(transitivity,[status(thm)],[14552, 14550])).
% 19.83/13.45 tff(14554,plain,
% 19.83/13.45 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14555,plain,
% 19.83/13.45 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114))),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 19.83/13.45 tff(14556,plain,
% 19.83/13.45 (v84(constB114, bitIndex1) | (~v94(constB114))),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14555, 834, 14549])).
% 19.83/13.45 tff(14557,plain,
% 19.83/13.45 (v84(constB114, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14556, 14483])).
% 19.83/13.45 tff(14558,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14559,plain,
% 19.83/13.45 (((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1)) <=> ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14560,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1)))),
% 19.83/13.45 inference(monotonicity,[status(thm)],[14559])).
% 19.83/13.45 tff(14561,plain,
% 19.83/13.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 19.83/13.45 inference(transitivity,[status(thm)],[14560, 14558])).
% 19.83/13.45 tff(14562,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14563,plain,
% 19.83/13.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14562, 14561])).
% 19.83/13.45 tff(14564,plain,
% 19.83/13.45 ((~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14563, 852, 14514])).
% 19.83/13.45 tff(14565,plain,
% 19.83/13.45 ((~v84(constB114, bitIndex1)) | v84(constB115, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14564, 14526])).
% 19.83/13.45 tff(14566,plain,
% 19.83/13.45 (v84(constB115, bitIndex1)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14565, 14557])).
% 19.83/13.45 tff(14567,plain,
% 19.83/13.45 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB113)) | v124(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB113)) | v124(constB113, bitIndex0))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14568,plain,
% 19.83/13.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB113)) | v124(constB113, bitIndex0))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14569,plain,
% 19.83/13.45 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB113)) | v124(constB113, bitIndex0)),
% 19.83/13.45 inference(modus_ponens,[status(thm)],[14568, 14567])).
% 19.83/13.45 tff(14570,plain,
% 19.83/13.45 (v124(constB113, bitIndex0)),
% 19.83/13.45 inference(unit_resolution,[status(thm)],[14569, 1135, 14410])).
% 19.83/13.45 tff(14571,plain,
% 19.83/13.45 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB113) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB113) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))),
% 19.83/13.45 inference(rewrite,[status(thm)],[])).
% 19.83/13.45 tff(14572,plain,
% 19.83/13.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB113) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))),
% 19.83/13.45 inference(quant_inst,[status(thm)],[])).
% 19.83/13.45 tff(14573,plain,
% 19.83/13.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB113) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14572, 14571])).
% 19.83/13.46 tff(14574,plain,
% 19.83/13.46 ((~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14573, 557, 14434])).
% 19.83/13.46 tff(14575,plain,
% 19.83/13.46 (v121(constB113, bitIndex0)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14574, 14570])).
% 19.83/13.46 tff(14576,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14577,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14578,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14577, 14576])).
% 19.83/13.46 tff(14579,plain,
% 19.83/13.46 ((~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14578, 572, 14449])).
% 19.83/13.46 tff(14580,plain,
% 19.83/13.46 (v123(constB114, bitIndex0)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14579, 14575])).
% 19.83/13.46 tff(14581,plain,
% 19.83/13.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14582,plain,
% 19.83/13.46 ((v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0))) <=> (v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14583,plain,
% 19.83/13.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114))))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14582])).
% 19.83/13.46 tff(14584,plain,
% 19.83/13.46 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114)))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14583, 14581])).
% 19.83/13.46 tff(14585,plain,
% 19.83/13.46 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14586,plain,
% 19.83/13.46 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14585, 14584])).
% 19.83/13.46 tff(14587,plain,
% 19.83/13.46 (v84(constB114, bitIndex0) | (~v94(constB114))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14586, 587, 14580])).
% 19.83/13.46 tff(14588,plain,
% 19.83/13.46 (v84(constB114, bitIndex0)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14587, 14483])).
% 19.83/13.46 tff(14589,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14590,plain,
% 19.83/13.46 (((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0)) <=> ((~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14591,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0)))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14590])).
% 19.83/13.46 tff(14592,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14591, 14589])).
% 19.83/13.46 tff(14593,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14594,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 19.83/13.46 tff(14595,plain,
% 19.83/13.46 ((~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14594, 605, 14514])).
% 19.83/13.46 tff(14596,plain,
% 19.83/13.46 ((~v84(constB114, bitIndex0)) | v84(constB115, bitIndex0)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14595, 14526])).
% 19.83/13.46 tff(14597,plain,
% 19.83/13.46 (v84(constB115, bitIndex0)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14596, 14588])).
% 19.83/13.46 tff(14598,plain,
% 19.83/13.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14599,plain,
% 19.83/13.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14600,plain,
% 19.83/13.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14599, 14598])).
% 19.83/13.46 tff(14601,plain,
% 19.83/13.46 (v116(constB115)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14600, 1176, 14597, 14566, 14535])).
% 19.83/13.46 tff(14602,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB115) | (~v116(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14603,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB115) | (~v116(constB115)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14604,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB115) | (~v116(constB115))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14603, 14602])).
% 19.83/13.46 tff(14605,plain,
% 19.83/13.46 (v110(constB115)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14604, 1187, 14601])).
% 19.83/13.46 tff(14606,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB115) | (~v110(constB115)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB115) | (~v110(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14607,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB115) | (~v110(constB115)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14608,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB115) | (~v110(constB115))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 19.83/13.46 tff(14609,plain,
% 19.83/13.46 (v109(constB115)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14608, 228, 14605])).
% 19.83/13.46 tff(14610,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB115) | (~v109(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB115) | (~v109(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14611,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB115) | (~v109(constB115)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14612,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB115) | (~v109(constB115))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14611, 14610])).
% 19.83/13.46 tff(14613,plain,
% 19.83/13.46 (v108(constB115)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14612, 239, 14609])).
% 19.83/13.46 tff(14614,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB115) | (~v108(constB115)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB115) | (~v108(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14615,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB115) | (~v108(constB115)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14616,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB115) | (~v108(constB115))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14615, 14614])).
% 19.83/13.46 tff(14617,plain,
% 19.83/13.46 (v107(constB115)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14616, 250, 14613])).
% 19.83/13.46 tff(14618,assumption,(v26(constB115)), introduced(assumption)).
% 19.83/13.46 tff(14619,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14620,plain,
% 19.83/13.46 ($false),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14619, 18, 14618])).
% 19.83/13.46 tff(14621,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.46 tff(14622,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14623,plain,
% 19.83/13.46 ((v26(constB115) | (~v107(constB115)) | v106(constB115)) <=> (v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14624,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115))))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14623])).
% 19.83/13.46 tff(14625,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14624, 14622])).
% 19.83/13.46 tff(14626,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14627,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14626, 14625])).
% 19.83/13.46 tff(14628,plain,
% 19.83/13.46 (v106(constB115) | (~v107(constB115))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14627, 264, 14621])).
% 19.83/13.46 tff(14629,plain,
% 19.83/13.46 (v106(constB115)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14628, 14617])).
% 19.83/13.46 tff(14630,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB115) | (~v106(constB115)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB115) | (~v106(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14631,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB115) | (~v106(constB115)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14632,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB115) | (~v106(constB115))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 19.83/13.46 tff(14633,plain,
% 19.83/13.46 (v102(constB115)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14632, 276, 14629])).
% 19.83/13.46 tff(14634,plain,
% 19.83/13.46 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14635,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 19.83/13.46 tff(14636,plain,
% 19.83/13.46 (nextState(constB115, constB116)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14635, 14634])).
% 19.83/13.46 tff(14637,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14638,plain,
% 19.83/13.46 (((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14639,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14638])).
% 19.83/13.46 tff(14640,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14639, 14637])).
% 19.83/13.46 tff(14641,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14642,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14641, 14640])).
% 19.83/13.46 tff(14643,plain,
% 19.83/13.46 (v104(constB116) | (~v102(constB115))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14642, 293, 14636])).
% 19.83/13.46 tff(14644,plain,
% 19.83/13.46 (v104(constB116)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14643, 14633])).
% 19.83/13.46 tff(14645,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14646,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14647,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14646, 14645])).
% 19.83/13.46 tff(14648,plain,
% 19.83/13.46 (~v98(constB116)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14647, 311, 14636, 14511])).
% 19.83/13.46 tff(14649,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14650,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14651,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14650, 14649])).
% 19.83/13.46 tff(14652,plain,
% 19.83/13.46 (v96(constB116) | v98(constB116)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14651, 325, 14636])).
% 19.83/13.46 tff(14653,plain,
% 19.83/13.46 (v96(constB116)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14652, 14648])).
% 19.83/13.46 tff(14654,plain,
% 19.83/13.46 (v1(constB116) <=> v1(constB116)),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14655,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 19.83/13.46 tff(14656,plain,
% 19.83/13.46 (v1(constB116)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14655, 14654])).
% 19.83/13.46 tff(14657,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14658,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14659,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14658, 14657])).
% 19.83/13.46 tff(14660,plain,
% 19.83/13.46 (v95(constB116) | (~v96(constB116))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14659, 343, 14636, 14656])).
% 19.83/13.46 tff(14661,plain,
% 19.83/13.46 (v95(constB116)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14660, 14653])).
% 19.83/13.46 tff(14662,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14663,plain,
% 19.83/13.46 (((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116)) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14664,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116))))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14663])).
% 19.83/13.46 tff(14665,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14664, 14662])).
% 19.83/13.46 tff(14666,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14667,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14666, 14665])).
% 19.83/13.46 tff(14668,plain,
% 19.83/13.46 (v94(constB116) | (~v95(constB116)) | (~v104(constB116))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14667, 358, 14636])).
% 19.83/13.46 tff(14669,plain,
% 19.83/13.46 (v94(constB116) | (~v104(constB116))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14668, 14661])).
% 19.83/13.46 tff(14670,plain,
% 19.83/13.46 (v94(constB116)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14669, 14644])).
% 19.83/13.46 tff(14671,plain,
% 19.83/13.46 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB115)) | (~v124(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB115)) | (~v124(constB115, bitIndex1)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14672,plain,
% 19.83/13.46 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB115)) | (~v124(constB115, bitIndex1)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14673,plain,
% 19.83/13.46 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB115)) | (~v124(constB115, bitIndex1))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14672, 14671])).
% 19.83/13.46 tff(14674,plain,
% 19.83/13.46 (~v124(constB115, bitIndex1)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14673, 1358, 14601])).
% 19.83/13.46 tff(14675,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14676,plain,
% 19.83/13.46 ((v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1))) <=> ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14677,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1)))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14676])).
% 19.83/13.46 tff(14678,plain,
% 19.83/13.46 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14677, 14675])).
% 19.83/13.46 tff(14679,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14680,plain,
% 19.83/13.46 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14679, 14678])).
% 19.83/13.46 tff(14681,plain,
% 19.83/13.46 ((~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14680, 483, 14621])).
% 19.83/13.46 tff(14682,plain,
% 19.83/13.46 (~v121(constB115, bitIndex1)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14681, 14674])).
% 19.83/13.46 tff(14683,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14684,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14685,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14684, 14683])).
% 19.83/13.46 tff(14686,plain,
% 19.83/13.46 (v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14685, 501, 14636])).
% 19.83/13.46 tff(14687,plain,
% 19.83/13.46 (~v123(constB116, bitIndex1)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14686, 14682])).
% 19.83/13.46 tff(14688,plain,
% 19.83/13.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14689,plain,
% 19.83/13.46 (((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1)) <=> ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14690,plain,
% 19.83/13.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116))))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14689])).
% 19.83/13.46 tff(14691,plain,
% 19.83/13.46 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14690, 14688])).
% 19.83/13.46 tff(14692,plain,
% 19.83/13.46 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14693,plain,
% 19.83/13.46 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 19.83/13.46 tff(14694,plain,
% 19.83/13.46 ((~v84(constB116, bitIndex1)) | (~v94(constB116))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14693, 516, 14687])).
% 19.83/13.46 tff(14695,plain,
% 19.83/13.46 (~v84(constB116, bitIndex1)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14694, 14670])).
% 19.83/13.46 tff(14696,plain,
% 19.83/13.46 ((~v1(constB117)) <=> (~v1(constB117))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14697,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 19.83/13.46 tff(14698,plain,
% 19.83/13.46 (~v1(constB117)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14697, 14696])).
% 19.83/13.46 tff(14699,plain,
% 19.83/13.46 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14700,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 19.83/13.46 tff(14701,plain,
% 19.83/13.46 (nextState(constB116, constB117)),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14700, 14699])).
% 19.83/13.46 tff(14702,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14703,plain,
% 19.83/13.46 (((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14704,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14703])).
% 19.83/13.46 tff(14705,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14704, 14702])).
% 19.83/13.46 tff(14706,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14707,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14706, 14705])).
% 19.83/13.46 tff(14708,plain,
% 19.83/13.46 (~v95(constB117)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14707, 89, 14701, 14698])).
% 19.83/13.46 tff(14709,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14710,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14711,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 19.83/13.46 tff(14712,plain,
% 19.83/13.46 (v95(constB117) | (~v94(constB117))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14711, 106, 14701])).
% 19.83/13.46 tff(14713,plain,
% 19.83/13.46 (~v94(constB117)),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14712, 14708])).
% 19.83/13.46 tff(14714,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14715,plain,
% 19.83/13.46 (((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1))) <=> (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 19.83/13.46 inference(rewrite,[status(thm)],[])).
% 19.83/13.46 tff(14716,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1))))),
% 19.83/13.46 inference(monotonicity,[status(thm)],[14715])).
% 19.83/13.46 tff(14717,plain,
% 19.83/13.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 19.83/13.46 inference(transitivity,[status(thm)],[14716, 14714])).
% 19.83/13.46 tff(14718,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 19.83/13.46 inference(quant_inst,[status(thm)],[])).
% 19.83/13.46 tff(14719,plain,
% 19.83/13.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1))),
% 19.83/13.46 inference(modus_ponens,[status(thm)],[14718, 14717])).
% 19.83/13.46 tff(14720,plain,
% 19.83/13.46 (v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1))),
% 19.83/13.46 inference(unit_resolution,[status(thm)],[14719, 142, 14701])).
% 19.83/13.47 tff(14721,plain,
% 19.83/13.47 (v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14720, 14713])).
% 19.83/13.47 tff(14722,plain,
% 19.83/13.47 (~v84(constB117, bitIndex1)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14721, 14695])).
% 19.83/13.47 tff(14723,plain,
% 19.83/13.47 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB115)) | (~v124(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB115)) | (~v124(constB115, bitIndex0)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14724,plain,
% 19.83/13.47 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB115)) | (~v124(constB115, bitIndex0)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14725,plain,
% 19.83/13.47 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB115)) | (~v124(constB115, bitIndex0))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14724, 14723])).
% 19.83/13.47 tff(14726,plain,
% 19.83/13.47 (~v124(constB115, bitIndex0)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14725, 1402, 14601])).
% 19.83/13.47 tff(14727,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14728,plain,
% 19.83/13.47 ((v26(constB115) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0))) <=> ((~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14729,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB115) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0)))),
% 19.83/13.47 inference(monotonicity,[status(thm)],[14728])).
% 19.83/13.47 tff(14730,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB115) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0))),
% 19.83/13.47 inference(transitivity,[status(thm)],[14729, 14727])).
% 19.83/13.47 tff(14731,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB115) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14732,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 19.83/13.47 tff(14733,plain,
% 19.83/13.47 ((~v121(constB115, bitIndex0)) | v124(constB115, bitIndex0)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14732, 885, 14621])).
% 19.83/13.47 tff(14734,plain,
% 19.83/13.47 (~v121(constB115, bitIndex0)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14733, 14726])).
% 19.83/13.47 tff(14735,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14736,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14737,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14736, 14735])).
% 19.83/13.47 tff(14738,plain,
% 19.83/13.47 (v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14737, 903, 14636])).
% 19.83/13.47 tff(14739,plain,
% 19.83/13.47 (~v123(constB116, bitIndex0)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14738, 14734])).
% 19.83/13.47 tff(14740,plain,
% 19.83/13.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14741,plain,
% 19.83/13.47 (((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0)) <=> ((~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14742,plain,
% 19.83/13.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116))))),
% 19.83/13.47 inference(monotonicity,[status(thm)],[14741])).
% 19.83/13.47 tff(14743,plain,
% 19.83/13.47 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116)))),
% 19.83/13.47 inference(transitivity,[status(thm)],[14742, 14740])).
% 19.83/13.47 tff(14744,plain,
% 19.83/13.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14745,plain,
% 19.83/13.47 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 19.83/13.47 tff(14746,plain,
% 19.83/13.47 ((~v84(constB116, bitIndex0)) | (~v94(constB116))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14745, 918, 14739])).
% 19.83/13.47 tff(14747,plain,
% 19.83/13.47 (~v84(constB116, bitIndex0)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14746, 14670])).
% 19.83/13.47 tff(14748,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14749,plain,
% 19.83/13.47 (((~nextState(constB116, constB117)) | v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0))) <=> (v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14750,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0))))),
% 19.83/13.47 inference(monotonicity,[status(thm)],[14749])).
% 19.83/13.47 tff(14751,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0)))),
% 19.83/13.47 inference(transitivity,[status(thm)],[14750, 14748])).
% 19.83/13.47 tff(14752,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14753,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14752, 14751])).
% 19.83/13.47 tff(14754,plain,
% 19.83/13.47 (v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14753, 163, 14701])).
% 19.83/13.47 tff(14755,plain,
% 19.83/13.47 (v84(constB116, bitIndex0) | (~v84(constB117, bitIndex0))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14754, 14713])).
% 19.83/13.47 tff(14756,plain,
% 19.83/13.47 (~v84(constB117, bitIndex0)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14755, 14747])).
% 19.83/13.47 tff(14757,assumption,(~v109(constB117)), introduced(assumption)).
% 19.83/13.47 tff(14758,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB117) | (~v110(constB117)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB117) | (~v110(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14759,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB117) | (~v110(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14760,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB117) | (~v110(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14759, 14758])).
% 19.83/13.47 tff(14761,plain,
% 19.83/13.47 (~v110(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14760, 228, 14757])).
% 19.83/13.47 tff(14762,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB117) | (~v111(constB117)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB117) | (~v111(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14763,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB117) | (~v111(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14764,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB117) | (~v111(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14763, 14762])).
% 19.83/13.47 tff(14765,plain,
% 19.83/13.47 (~v111(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14764, 217, 14761])).
% 19.83/13.47 tff(14766,assumption,(~v84(constB117, bitIndex1)), introduced(assumption)).
% 19.83/13.47 tff(14767,assumption,(~v84(constB117, bitIndex0)), introduced(assumption)).
% 19.83/13.47 tff(14768,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB117) | (~v172(constB117)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB117) | (~v172(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14769,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB117) | (~v172(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14770,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB117) | (~v172(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14769, 14768])).
% 19.83/13.47 tff(14771,plain,
% 19.83/13.47 (~v172(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14770, 1457, 14757])).
% 19.83/13.47 tff(14772,assumption,(~v172(constB117)), introduced(assumption)).
% 19.83/13.47 tff(14773,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14774,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14775,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14774, 14773])).
% 19.83/13.47 tff(14776,plain,
% 19.83/13.47 (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14775, 1446, 14772])).
% 19.83/13.47 tff(14777,plain,
% 19.83/13.47 (~v84(constB117, bitIndex2)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14776, 14767, 14766])).
% 19.83/13.47 tff(14778,assumption,(~v113(constB117)), introduced(assumption)).
% 19.83/13.47 tff(14779,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14780,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14781,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 19.83/13.47 tff(14782,plain,
% 19.83/13.47 (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14781, 184, 14778])).
% 19.83/13.47 tff(14783,plain,
% 19.83/13.47 ($false),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14782, 14777, 14767, 14766])).
% 19.83/13.47 tff(14784,plain,(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v113(constB117) | v172(constB117)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.47 tff(14785,plain,
% 19.83/13.47 (v113(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14784, 14771, 14767, 14766])).
% 19.83/13.47 tff(14786,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB117) | (~v113(constB117)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB117) | (~v113(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14787,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB117) | (~v113(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14788,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB117) | (~v113(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14787, 14786])).
% 19.83/13.47 tff(14789,plain,
% 19.83/13.47 (v112(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14788, 195, 14785])).
% 19.83/13.47 tff(14790,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB117) | (~v112(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14791,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB117) | (~v112(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14792,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB117) | (~v112(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14791, 14790])).
% 19.83/13.47 tff(14793,plain,
% 19.83/13.47 ($false),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14792, 206, 14789, 14765])).
% 19.83/13.47 tff(14794,plain,(v109(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.47 tff(14795,plain,
% 19.83/13.47 (v109(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14794, 14756, 14722])).
% 19.83/13.47 tff(14796,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB117) | (~v109(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB117) | (~v109(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14797,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB117) | (~v109(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14798,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB117) | (~v109(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 19.83/13.47 tff(14799,plain,
% 19.83/13.47 (v108(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14798, 239, 14795])).
% 19.83/13.47 tff(14800,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB117) | (~v108(constB117)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB117) | (~v108(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14801,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB117) | (~v108(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14802,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB117) | (~v108(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14801, 14800])).
% 19.83/13.47 tff(14803,plain,
% 19.83/13.47 (v107(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14802, 250, 14799])).
% 19.83/13.47 tff(14804,assumption,(~v102(constB117)), introduced(assumption)).
% 19.83/13.47 tff(14805,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB117) | (~v106(constB117)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB117) | (~v106(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14806,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB117) | (~v106(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14807,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB117) | (~v106(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 19.83/13.47 tff(14808,plain,
% 19.83/13.47 (~v106(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14807, 276, 14804])).
% 19.83/13.47 tff(14809,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB117) | (~v26(constB117)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB117) | (~v26(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14810,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB117) | (~v26(constB117)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14811,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB117) | (~v26(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14810, 14809])).
% 19.83/13.47 tff(14812,plain,
% 19.83/13.47 (~v26(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14811, 670, 14804])).
% 19.83/13.47 tff(14813,assumption,(v107(constB117)), introduced(assumption)).
% 19.83/13.47 tff(14814,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | (~v107(constB117)) | v106(constB117))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14815,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14816,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | (~v107(constB117)) | v106(constB117)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14815, 14814])).
% 19.83/13.47 tff(14817,plain,
% 19.83/13.47 (v26(constB117) | v106(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14816, 264, 14813])).
% 19.83/13.47 tff(14818,plain,
% 19.83/13.47 ($false),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14817, 14812, 14808])).
% 19.83/13.47 tff(14819,plain,(v102(constB117) | (~v107(constB117))), inference(lemma,lemma(discharge,[]))).
% 19.83/13.47 tff(14820,plain,
% 19.83/13.47 (v102(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14819, 14803])).
% 19.83/13.47 tff(14821,plain,
% 19.83/13.47 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14822,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 19.83/13.47 tff(14823,plain,
% 19.83/13.47 (nextState(constB117, constB118)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 19.83/13.47 tff(14824,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14825,plain,
% 19.83/13.47 (((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14826,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))))),
% 19.83/13.47 inference(monotonicity,[status(thm)],[14825])).
% 19.83/13.47 tff(14827,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 19.83/13.47 inference(transitivity,[status(thm)],[14826, 14824])).
% 19.83/13.47 tff(14828,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14829,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14828, 14827])).
% 19.83/13.47 tff(14830,plain,
% 19.83/13.47 (v104(constB118) | (~v102(constB117))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14829, 293, 14823])).
% 19.83/13.47 tff(14831,plain,
% 19.83/13.47 (v104(constB118)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14830, 14820])).
% 19.83/13.47 tff(14832,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14833,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14834,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 19.83/13.47 tff(14835,plain,
% 19.83/13.47 (~v98(constB118)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14834, 311, 14823, 14698])).
% 19.83/13.47 tff(14836,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14837,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14838,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14837, 14836])).
% 19.83/13.47 tff(14839,plain,
% 19.83/13.47 (v96(constB118) | v98(constB118)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14838, 325, 14823])).
% 19.83/13.47 tff(14840,plain,
% 19.83/13.47 (v96(constB118)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14839, 14835])).
% 19.83/13.47 tff(14841,plain,
% 19.83/13.47 (v1(constB118) <=> v1(constB118)),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14842,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 19.83/13.47 tff(14843,plain,
% 19.83/13.47 (v1(constB118)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 19.83/13.47 tff(14844,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14845,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14846,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 19.83/13.47 tff(14847,plain,
% 19.83/13.47 (v95(constB118) | (~v96(constB118))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14846, 343, 14823, 14843])).
% 19.83/13.47 tff(14848,plain,
% 19.83/13.47 (v95(constB118)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14847, 14840])).
% 19.83/13.47 tff(14849,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14850,plain,
% 19.83/13.47 (((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118)) <=> ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14851,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118))))),
% 19.83/13.47 inference(monotonicity,[status(thm)],[14850])).
% 19.83/13.47 tff(14852,plain,
% 19.83/13.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 19.83/13.47 inference(transitivity,[status(thm)],[14851, 14849])).
% 19.83/13.47 tff(14853,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14854,plain,
% 19.83/13.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118))),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14853, 14852])).
% 19.83/13.47 tff(14855,plain,
% 19.83/13.47 (v94(constB118) | (~v95(constB118)) | (~v104(constB118))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14854, 358, 14823])).
% 19.83/13.47 tff(14856,plain,
% 19.83/13.47 (v94(constB118) | (~v104(constB118))),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14855, 14848])).
% 19.83/13.47 tff(14857,plain,
% 19.83/13.47 (v94(constB118)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14856, 14831])).
% 19.83/13.47 tff(14858,assumption,(~v124(constB117, bitIndex0)), introduced(assumption)).
% 19.83/13.47 tff(14859,plain,
% 19.83/13.47 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB117)) | v124(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB117)) | v124(constB117, bitIndex0))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14860,plain,
% 19.83/13.47 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB117)) | v124(constB117, bitIndex0))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14861,plain,
% 19.83/13.47 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB117)) | v124(constB117, bitIndex0)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14860, 14859])).
% 19.83/13.47 tff(14862,plain,
% 19.83/13.47 (~v172(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14861, 1631, 14858])).
% 19.83/13.47 tff(14863,plain,
% 19.83/13.47 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB117)) | v124(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB117)) | v124(constB117, bitIndex0))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14864,plain,
% 19.83/13.47 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB117)) | v124(constB117, bitIndex0))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14865,plain,
% 19.83/13.47 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB117)) | v124(constB117, bitIndex0)),
% 19.83/13.47 inference(modus_ponens,[status(thm)],[14864, 14863])).
% 19.83/13.47 tff(14866,plain,
% 19.83/13.47 (~v113(constB117)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14865, 543, 14858])).
% 19.83/13.47 tff(14867,plain,
% 19.83/13.47 ($false),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14784, 14866, 14862, 14767, 14766])).
% 19.83/13.47 tff(14868,plain,(v124(constB117, bitIndex0) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.47 tff(14869,plain,
% 19.83/13.47 (v124(constB117, bitIndex0)),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14868, 14756, 14722])).
% 19.83/13.47 tff(14870,assumption,(v26(constB117)), introduced(assumption)).
% 19.83/13.47 tff(14871,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14872,plain,
% 19.83/13.47 ($false),
% 19.83/13.47 inference(unit_resolution,[status(thm)],[14871, 18, 14870])).
% 19.83/13.47 tff(14873,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.47 tff(14874,plain,
% 19.83/13.47 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB117) | (~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB117) | (~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0))),
% 19.83/13.47 inference(rewrite,[status(thm)],[])).
% 19.83/13.47 tff(14875,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB117) | (~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0))),
% 19.83/13.47 inference(quant_inst,[status(thm)],[])).
% 19.83/13.47 tff(14876,plain,
% 19.83/13.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB117) | (~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 19.83/13.48 tff(14877,plain,
% 19.83/13.48 ((~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14876, 557, 14873])).
% 19.83/13.48 tff(14878,plain,
% 19.83/13.48 (v121(constB117, bitIndex0)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14877, 14869])).
% 19.83/13.48 tff(14879,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14880,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14881,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14880, 14879])).
% 19.83/13.48 tff(14882,plain,
% 19.83/13.48 ((~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14881, 572, 14823])).
% 19.83/13.48 tff(14883,plain,
% 19.83/13.48 (v123(constB118, bitIndex0)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14882, 14878])).
% 19.83/13.48 tff(14884,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14885,plain,
% 19.83/13.48 ((v84(constB118, bitIndex0) | (~v94(constB118)) | (~v123(constB118, bitIndex0))) <=> (v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14886,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v94(constB118)) | (~v123(constB118, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118))))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[14885])).
% 19.83/13.48 tff(14887,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v94(constB118)) | (~v123(constB118, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118)))),
% 19.83/13.48 inference(transitivity,[status(thm)],[14886, 14884])).
% 19.83/13.48 tff(14888,plain,
% 19.83/13.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v94(constB118)) | (~v123(constB118, bitIndex0)))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14889,plain,
% 19.83/13.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118))),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14888, 14887])).
% 19.83/13.48 tff(14890,plain,
% 19.83/13.48 (v84(constB118, bitIndex0) | (~v94(constB118))),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14889, 587, 14883])).
% 19.83/13.48 tff(14891,plain,
% 19.83/13.48 (v84(constB118, bitIndex0)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14890, 14857])).
% 19.83/13.48 tff(14892,plain,
% 19.83/13.48 ((~v1(constB119)) <=> (~v1(constB119))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14893,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 19.83/13.48 tff(14894,plain,
% 19.83/13.48 (~v1(constB119)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14893, 14892])).
% 19.83/13.48 tff(14895,plain,
% 19.83/13.48 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14896,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 19.83/13.48 tff(14897,plain,
% 19.83/13.48 (nextState(constB118, constB119)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14896, 14895])).
% 19.83/13.48 tff(14898,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14899,plain,
% 19.83/13.48 (((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14900,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[14899])).
% 19.83/13.48 tff(14901,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 19.83/13.48 inference(transitivity,[status(thm)],[14900, 14898])).
% 19.83/13.48 tff(14902,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14903,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 19.83/13.48 tff(14904,plain,
% 19.83/13.48 (~v95(constB119)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14903, 89, 14897, 14894])).
% 19.83/13.48 tff(14905,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14906,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14907,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119))),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 19.83/13.48 tff(14908,plain,
% 19.83/13.48 (v95(constB119) | (~v94(constB119))),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14907, 106, 14897])).
% 19.83/13.48 tff(14909,plain,
% 19.83/13.48 (~v94(constB119)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14908, 14904])).
% 19.83/13.48 tff(14910,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14911,plain,
% 19.83/13.48 (((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0)) <=> ((~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14912,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0)))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[14911])).
% 19.83/13.48 tff(14913,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0))),
% 19.83/13.48 inference(transitivity,[status(thm)],[14912, 14910])).
% 19.83/13.48 tff(14914,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14915,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 19.83/13.48 tff(14916,plain,
% 19.83/13.48 ((~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14915, 605, 14897])).
% 19.83/13.48 tff(14917,plain,
% 19.83/13.48 ((~v84(constB118, bitIndex0)) | v84(constB119, bitIndex0)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14916, 14909])).
% 19.83/13.48 tff(14918,plain,
% 19.83/13.48 (v84(constB119, bitIndex0)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14917, 14891])).
% 19.83/13.48 tff(14919,plain,
% 19.83/13.48 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB115)) | v124(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB115)) | v124(constB115, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14920,plain,
% 19.83/13.48 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB115)) | v124(constB115, bitIndex2))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14921,plain,
% 19.83/13.48 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB115)) | v124(constB115, bitIndex2)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14920, 14919])).
% 19.83/13.48 tff(14922,plain,
% 19.83/13.48 (v124(constB115, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14921, 1259, 14601])).
% 19.83/13.48 tff(14923,plain,
% 19.83/13.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB115) | (~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB115) | (~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14924,plain,
% 19.83/13.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB115) | (~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14925,plain,
% 19.83/13.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB115) | (~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14924, 14923])).
% 19.83/13.48 tff(14926,plain,
% 19.83/13.48 ((~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14925, 1273, 14621])).
% 19.83/13.48 tff(14927,plain,
% 19.83/13.48 (v121(constB115, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14926, 14922])).
% 19.83/13.48 tff(14928,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14929,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14930,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14929, 14928])).
% 19.83/13.48 tff(14931,plain,
% 19.83/13.48 ((~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14930, 1288, 14636])).
% 19.83/13.48 tff(14932,plain,
% 19.83/13.48 (v123(constB116, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14931, 14927])).
% 19.83/13.48 tff(14933,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14934,plain,
% 19.83/13.48 ((v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2))) <=> (v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14935,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116))))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[14934])).
% 19.83/13.48 tff(14936,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116)))),
% 19.83/13.48 inference(transitivity,[status(thm)],[14935, 14933])).
% 19.83/13.48 tff(14937,plain,
% 19.83/13.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2)))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14938,plain,
% 19.83/13.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116))),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 19.83/13.48 tff(14939,plain,
% 19.83/13.48 (v84(constB116, bitIndex2) | (~v94(constB116))),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14938, 1303, 14932])).
% 19.83/13.48 tff(14940,plain,
% 19.83/13.48 (v84(constB116, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14939, 14670])).
% 19.83/13.48 tff(14941,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14942,plain,
% 19.83/13.48 (((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2)) <=> ((~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14943,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2)))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[14942])).
% 19.83/13.48 tff(14944,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2))),
% 19.83/13.48 inference(transitivity,[status(thm)],[14943, 14941])).
% 19.83/13.48 tff(14945,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14946,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 19.83/13.48 tff(14947,plain,
% 19.83/13.48 ((~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14946, 1339, 14701])).
% 19.83/13.48 tff(14948,plain,
% 19.83/13.48 ((~v84(constB116, bitIndex2)) | v84(constB117, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14947, 14713])).
% 19.83/13.48 tff(14949,plain,
% 19.83/13.48 (v84(constB117, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14948, 14940])).
% 19.83/13.48 tff(14950,plain,
% 19.83/13.48 (v172(constB117)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14775, 1446, 14756, 14722, 14949])).
% 19.83/13.48 tff(14951,plain,
% 19.83/13.48 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB117)) | v124(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB117)) | v124(constB117, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14952,plain,
% 19.83/13.48 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB117)) | v124(constB117, bitIndex2))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14953,plain,
% 19.83/13.48 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB117)) | v124(constB117, bitIndex2)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 19.83/13.48 tff(14954,plain,
% 19.83/13.48 (v124(constB117, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14953, 1528, 14950])).
% 19.83/13.48 tff(14955,plain,
% 19.83/13.48 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB117) | (~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB117) | (~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14956,plain,
% 19.83/13.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB117) | (~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14957,plain,
% 19.83/13.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB117) | (~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14956, 14955])).
% 19.83/13.48 tff(14958,plain,
% 19.83/13.48 ((~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14957, 1273, 14873])).
% 19.83/13.48 tff(14959,plain,
% 19.83/13.48 (v121(constB117, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14958, 14954])).
% 19.83/13.48 tff(14960,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14961,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14962,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14961, 14960])).
% 19.83/13.48 tff(14963,plain,
% 19.83/13.48 ((~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14962, 1288, 14823])).
% 19.83/13.48 tff(14964,plain,
% 19.83/13.48 (v123(constB118, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14963, 14959])).
% 19.83/13.48 tff(14965,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14966,plain,
% 19.83/13.48 ((v84(constB118, bitIndex2) | (~v94(constB118)) | (~v123(constB118, bitIndex2))) <=> (v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14967,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v94(constB118)) | (~v123(constB118, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118))))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[14966])).
% 19.83/13.48 tff(14968,plain,
% 19.83/13.48 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v94(constB118)) | (~v123(constB118, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118)))),
% 19.83/13.48 inference(transitivity,[status(thm)],[14967, 14965])).
% 19.83/13.48 tff(14969,plain,
% 19.83/13.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v94(constB118)) | (~v123(constB118, bitIndex2)))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14970,plain,
% 19.83/13.48 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118))),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14969, 14968])).
% 19.83/13.48 tff(14971,plain,
% 19.83/13.48 (v84(constB118, bitIndex2) | (~v94(constB118))),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14970, 1303, 14964])).
% 19.83/13.48 tff(14972,plain,
% 19.83/13.48 (v84(constB118, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14971, 14857])).
% 19.83/13.48 tff(14973,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14974,plain,
% 19.83/13.48 (((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2)) <=> ((~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14975,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2)))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[14974])).
% 19.83/13.48 tff(14976,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2))),
% 19.83/13.48 inference(transitivity,[status(thm)],[14975, 14973])).
% 19.83/13.48 tff(14977,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(14978,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2)),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[14977, 14976])).
% 19.83/13.48 tff(14979,plain,
% 19.83/13.48 ((~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14978, 1339, 14897])).
% 19.83/13.48 tff(14980,plain,
% 19.83/13.48 ((~v84(constB118, bitIndex2)) | v84(constB119, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14979, 14909])).
% 19.83/13.48 tff(14981,plain,
% 19.83/13.48 (v84(constB119, bitIndex2)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14980, 14972])).
% 19.83/13.48 tff(14982,assumption,(v84(constB118, bitIndex1)), introduced(assumption)).
% 19.83/13.48 tff(14983,assumption,(v116(constB115)), introduced(assumption)).
% 19.83/13.48 tff(14984,plain,
% 19.83/13.48 (v110(constB115)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14604, 1187, 14983])).
% 19.83/13.48 tff(14985,plain,
% 19.83/13.48 (v109(constB115)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14608, 228, 14984])).
% 19.83/13.48 tff(14986,plain,
% 19.83/13.48 (v108(constB115)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14612, 239, 14985])).
% 19.83/13.48 tff(14987,plain,
% 19.83/13.48 (v107(constB115)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14616, 250, 14986])).
% 19.83/13.48 tff(14988,plain,
% 19.83/13.48 (v106(constB115)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14628, 14987])).
% 19.83/13.48 tff(14989,plain,
% 19.83/13.48 (v102(constB115)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14632, 276, 14988])).
% 19.83/13.48 tff(14990,plain,
% 19.83/13.48 (v104(constB116)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14643, 14989])).
% 19.83/13.48 tff(14991,plain,
% 19.83/13.48 (v94(constB116)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14669, 14990])).
% 19.83/13.48 tff(14992,assumption,(~v123(constB116, bitIndex1)), introduced(assumption)).
% 19.83/13.48 tff(14993,plain,
% 19.83/13.48 ((~v84(constB116, bitIndex1)) | (~v94(constB116))),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14693, 516, 14992])).
% 19.83/13.48 tff(14994,plain,
% 19.83/13.48 (~v84(constB116, bitIndex1)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14993, 14991])).
% 19.83/13.48 tff(14995,plain,
% 19.83/13.48 (~v84(constB117, bitIndex1)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[14721, 14994])).
% 19.83/13.48 tff(14996,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v94(constB118) | (~v84(constB118, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v94(constB118) | (~v84(constB118, bitIndex1)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14997,plain,
% 19.83/13.48 (((~nextState(constB117, constB118)) | v84(constB117, bitIndex1) | v94(constB118) | (~v84(constB118, bitIndex1))) <=> (v84(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v94(constB118) | (~v84(constB118, bitIndex1)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(14998,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v84(constB117, bitIndex1) | v94(constB118) | (~v84(constB118, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v94(constB118) | (~v84(constB118, bitIndex1))))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[14997])).
% 19.83/13.48 tff(14999,plain,
% 19.83/13.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v84(constB117, bitIndex1) | v94(constB118) | (~v84(constB118, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v94(constB118) | (~v84(constB118, bitIndex1)))),
% 19.83/13.48 inference(transitivity,[status(thm)],[14998, 14996])).
% 19.83/13.48 tff(15000,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v84(constB117, bitIndex1) | v94(constB118) | (~v84(constB118, bitIndex1)))),
% 19.83/13.48 inference(quant_inst,[status(thm)],[])).
% 19.83/13.48 tff(15001,plain,
% 19.83/13.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB117, bitIndex1) | (~nextState(constB117, constB118)) | v94(constB118) | (~v84(constB118, bitIndex1))),
% 19.83/13.48 inference(modus_ponens,[status(thm)],[15000, 14999])).
% 19.83/13.48 tff(15002,plain,
% 19.83/13.48 (v84(constB117, bitIndex1) | v94(constB118) | (~v84(constB118, bitIndex1))),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[15001, 142, 14823])).
% 19.83/13.48 tff(15003,plain,
% 19.83/13.48 (v94(constB118)),
% 19.83/13.48 inference(unit_resolution,[status(thm)],[15002, 14995, 14982])).
% 19.83/13.48 tff(15004,plain,
% 19.83/13.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(15005,plain,
% 19.83/13.48 (((~v84(constB118, bitIndex1)) | (~v94(constB118)) | v123(constB118, bitIndex1)) <=> ((~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118)))),
% 19.83/13.48 inference(rewrite,[status(thm)],[])).
% 19.83/13.48 tff(15006,plain,
% 19.83/13.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~v94(constB118)) | v123(constB118, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118))))),
% 19.83/13.48 inference(monotonicity,[status(thm)],[15005])).
% 19.83/13.48 tff(15007,plain,
% 19.83/13.48 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~v94(constB118)) | v123(constB118, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118)))),
% 19.83/13.48 inference(transitivity,[status(thm)],[15006, 15004])).
% 19.83/13.48 tff(15008,plain,
% 19.83/13.48 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~v94(constB118)) | v123(constB118, bitIndex1))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15009,plain,
% 19.83/13.49 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118))),
% 19.83/13.49 inference(modus_ponens,[status(thm)],[15008, 15007])).
% 19.83/13.49 tff(15010,plain,
% 19.83/13.49 (v123(constB118, bitIndex1) | (~v94(constB118))),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15009, 516, 14982])).
% 19.83/13.49 tff(15011,plain,
% 19.83/13.49 (v123(constB118, bitIndex1)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15010, 15003])).
% 19.83/13.49 tff(15012,plain,
% 19.83/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1)))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15013,plain,
% 19.83/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1)))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15014,plain,
% 19.83/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1))),
% 19.83/13.49 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 19.83/13.49 tff(15015,plain,
% 19.83/13.49 (v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1))),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15014, 501, 14823])).
% 19.83/13.49 tff(15016,plain,
% 19.83/13.49 (v121(constB117, bitIndex1)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15015, 15011])).
% 19.83/13.49 tff(15017,plain,
% 19.83/13.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15018,plain,
% 19.83/13.49 ((v26(constB117) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1))) <=> ((~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15019,plain,
% 19.83/13.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB117) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1)))),
% 19.83/13.49 inference(monotonicity,[status(thm)],[15018])).
% 19.83/13.49 tff(15020,plain,
% 19.83/13.49 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB117) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1))),
% 19.83/13.49 inference(transitivity,[status(thm)],[15019, 15017])).
% 19.83/13.49 tff(15021,plain,
% 19.83/13.49 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB117) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15022,plain,
% 19.83/13.49 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1)),
% 19.83/13.49 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 19.83/13.49 tff(15023,plain,
% 19.83/13.49 ((~v121(constB117, bitIndex1)) | v124(constB117, bitIndex1)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15022, 483, 14873])).
% 19.83/13.49 tff(15024,plain,
% 19.83/13.49 (v124(constB117, bitIndex1)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15023, 15016])).
% 19.83/13.49 tff(15025,plain,
% 19.83/13.49 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB117)) | (~v124(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB117)) | (~v124(constB117, bitIndex1)))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15026,plain,
% 19.83/13.49 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB117)) | (~v124(constB117, bitIndex1)))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15027,plain,
% 19.83/13.49 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB117)) | (~v124(constB117, bitIndex1))),
% 19.83/13.49 inference(modus_ponens,[status(thm)],[15026, 15025])).
% 19.83/13.49 tff(15028,plain,
% 19.83/13.49 (~v172(constB117)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15027, 1587, 15024])).
% 19.83/13.49 tff(15029,plain,
% 19.83/13.49 (v124(constB115, bitIndex2)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14921, 1259, 14983])).
% 19.83/13.49 tff(15030,plain,
% 19.83/13.49 (v121(constB115, bitIndex2)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14926, 15029])).
% 19.83/13.49 tff(15031,plain,
% 19.83/13.49 (v123(constB116, bitIndex2)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14931, 15030])).
% 19.83/13.49 tff(15032,plain,
% 19.83/13.49 (v84(constB116, bitIndex2) | (~v94(constB116))),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14938, 1303, 15031])).
% 19.83/13.49 tff(15033,plain,
% 19.83/13.49 (v84(constB116, bitIndex2)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15032, 14991])).
% 19.83/13.49 tff(15034,plain,
% 19.83/13.49 (v84(constB117, bitIndex2)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14948, 15033])).
% 19.83/13.49 tff(15035,plain,
% 19.83/13.49 (~v124(constB115, bitIndex0)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14725, 1402, 14983])).
% 19.83/13.49 tff(15036,plain,
% 19.83/13.49 (~v121(constB115, bitIndex0)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14733, 15035])).
% 19.83/13.49 tff(15037,plain,
% 19.83/13.49 (~v123(constB116, bitIndex0)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14738, 15036])).
% 19.83/13.49 tff(15038,plain,
% 19.83/13.49 ((~v84(constB116, bitIndex0)) | (~v94(constB116))),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14745, 918, 15037])).
% 19.83/13.49 tff(15039,plain,
% 19.83/13.49 (~v84(constB116, bitIndex0)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15038, 14991])).
% 19.83/13.49 tff(15040,plain,
% 19.83/13.49 (~v84(constB117, bitIndex0)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14755, 15039])).
% 19.83/13.49 tff(15041,plain,
% 19.83/13.49 ($false),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[14775, 1446, 15040, 14995, 15034, 15028])).
% 19.83/13.49 tff(15042,plain,((~v116(constB115)) | (~v84(constB118, bitIndex1)) | v123(constB116, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 19.83/13.49 tff(15043,plain,
% 19.83/13.49 (~v84(constB118, bitIndex1)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15042, 14687, 14601])).
% 19.83/13.49 tff(15044,plain,
% 19.83/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1)))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15045,plain,
% 19.83/13.49 (((~nextState(constB118, constB119)) | v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1))) <=> (v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1)))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15046,plain,
% 19.83/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1))))),
% 19.83/13.49 inference(monotonicity,[status(thm)],[15045])).
% 19.83/13.49 tff(15047,plain,
% 19.83/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1)))),
% 19.83/13.49 inference(transitivity,[status(thm)],[15046, 15044])).
% 19.83/13.49 tff(15048,plain,
% 19.83/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1)))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15049,plain,
% 19.83/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1))),
% 19.83/13.49 inference(modus_ponens,[status(thm)],[15048, 15047])).
% 19.83/13.49 tff(15050,plain,
% 19.83/13.49 (v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1))),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15049, 142, 14897])).
% 19.83/13.49 tff(15051,plain,
% 19.83/13.49 (v84(constB118, bitIndex1) | (~v84(constB119, bitIndex1))),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15050, 14909])).
% 19.83/13.49 tff(15052,plain,
% 19.83/13.49 (~v84(constB119, bitIndex1)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15051, 15043])).
% 19.83/13.49 tff(15053,plain,
% 19.83/13.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15054,plain,
% 19.83/13.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15055,plain,
% 19.83/13.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119)),
% 19.83/13.49 inference(modus_ponens,[status(thm)],[15054, 15053])).
% 19.83/13.49 tff(15056,plain,
% 19.83/13.49 ((~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex2)) | v118(constB119)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15055, 1672, 15052])).
% 19.83/13.49 tff(15057,plain,
% 19.83/13.49 (v118(constB119)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15056, 14981, 14918])).
% 19.83/13.49 tff(15058,plain,
% 19.83/13.49 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB119) | (~v118(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB119) | (~v118(constB119)))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15059,plain,
% 19.83/13.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB119) | (~v118(constB119)))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15060,plain,
% 19.83/13.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB119) | (~v118(constB119))),
% 19.83/13.49 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 19.83/13.49 tff(15061,plain,
% 19.83/13.49 (v108(constB119)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15060, 1683, 15057])).
% 19.83/13.49 tff(15062,plain,
% 19.83/13.49 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB119) | (~v108(constB119)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB119) | (~v108(constB119)))),
% 19.83/13.49 inference(rewrite,[status(thm)],[])).
% 19.83/13.49 tff(15063,plain,
% 19.83/13.49 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB119) | (~v108(constB119)))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15064,plain,
% 19.83/13.49 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB119) | (~v108(constB119))),
% 19.83/13.49 inference(modus_ponens,[status(thm)],[15063, 15062])).
% 19.83/13.49 tff(15065,plain,
% 19.83/13.49 (v107(constB119)),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15064, 250, 15061])).
% 19.83/13.49 tff(15066,assumption,(v26(constB119)), introduced(assumption)).
% 19.83/13.49 tff(15067,plain,
% 19.83/13.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 19.83/13.49 inference(quant_inst,[status(thm)],[])).
% 19.83/13.49 tff(15068,plain,
% 19.83/13.49 ($false),
% 19.83/13.49 inference(unit_resolution,[status(thm)],[15067, 18, 15066])).
% 19.83/13.49 tff(15069,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 19.92/13.49 tff(15070,plain,
% 19.92/13.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | v106(constB119) | (~v107(constB119)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15071,plain,
% 19.92/13.49 ((v26(constB119) | (~v107(constB119)) | v106(constB119)) <=> (v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15072,plain,
% 19.92/13.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | v106(constB119) | (~v107(constB119))))),
% 19.92/13.49 inference(monotonicity,[status(thm)],[15071])).
% 19.92/13.49 tff(15073,plain,
% 19.92/13.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 19.92/13.49 inference(transitivity,[status(thm)],[15072, 15070])).
% 19.92/13.49 tff(15074,plain,
% 19.92/13.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15075,plain,
% 19.92/13.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119))),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15074, 15073])).
% 19.92/13.49 tff(15076,plain,
% 19.92/13.49 (v106(constB119) | (~v107(constB119))),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15075, 264, 15069])).
% 19.92/13.49 tff(15077,plain,
% 19.92/13.49 (v106(constB119)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15076, 15065])).
% 19.92/13.49 tff(15078,plain,
% 19.92/13.49 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB119) | (~v106(constB119)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB119) | (~v106(constB119)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15079,plain,
% 19.92/13.49 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB119) | (~v106(constB119)))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15080,plain,
% 19.92/13.49 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB119) | (~v106(constB119))),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15079, 15078])).
% 19.92/13.49 tff(15081,plain,
% 19.92/13.49 (v102(constB119)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15080, 276, 15077])).
% 19.92/13.49 tff(15082,plain,
% 19.92/13.49 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15083,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 19.92/13.49 tff(15084,plain,
% 19.92/13.49 (nextState(constB119, constB120)),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15083, 15082])).
% 19.92/13.49 tff(15085,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15086,plain,
% 19.92/13.49 (((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15087,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))))),
% 19.92/13.49 inference(monotonicity,[status(thm)],[15086])).
% 19.92/13.49 tff(15088,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 19.92/13.49 inference(transitivity,[status(thm)],[15087, 15085])).
% 19.92/13.49 tff(15089,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15090,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15089, 15088])).
% 19.92/13.49 tff(15091,plain,
% 19.92/13.49 (v104(constB120) | (~v102(constB119))),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15090, 293, 15084])).
% 19.92/13.49 tff(15092,plain,
% 19.92/13.49 (v104(constB120)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15091, 15081])).
% 19.92/13.49 tff(15093,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15094,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15095,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120))),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15094, 15093])).
% 19.92/13.49 tff(15096,plain,
% 19.92/13.49 (~v98(constB120)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15095, 311, 15084, 14894])).
% 19.92/13.49 tff(15097,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15098,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15099,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120)),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15098, 15097])).
% 19.92/13.49 tff(15100,plain,
% 19.92/13.49 (v96(constB120) | v98(constB120)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15099, 325, 15084])).
% 19.92/13.49 tff(15101,plain,
% 19.92/13.49 (v96(constB120)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15100, 15096])).
% 19.92/13.49 tff(15102,plain,
% 19.92/13.49 (v1(constB120) <=> v1(constB120)),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15103,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 19.92/13.49 tff(15104,plain,
% 19.92/13.49 (v1(constB120)),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15103, 15102])).
% 19.92/13.49 tff(15105,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15106,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15107,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120))),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15106, 15105])).
% 19.92/13.49 tff(15108,plain,
% 19.92/13.49 (v95(constB120) | (~v96(constB120))),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15107, 343, 15084, 15104])).
% 19.92/13.49 tff(15109,plain,
% 19.92/13.49 (v95(constB120)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15108, 15101])).
% 19.92/13.49 tff(15110,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15111,plain,
% 19.92/13.49 (((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120)) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15112,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120))))),
% 19.92/13.49 inference(monotonicity,[status(thm)],[15111])).
% 19.92/13.49 tff(15113,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 19.92/13.49 inference(transitivity,[status(thm)],[15112, 15110])).
% 19.92/13.49 tff(15114,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15115,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120))),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15114, 15113])).
% 19.92/13.49 tff(15116,plain,
% 19.92/13.49 (v94(constB120) | (~v95(constB120)) | (~v104(constB120))),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15115, 358, 15084])).
% 19.92/13.49 tff(15117,plain,
% 19.92/13.49 (v94(constB120) | (~v104(constB120))),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15116, 15109])).
% 19.92/13.49 tff(15118,plain,
% 19.92/13.49 (v94(constB120)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15117, 15092])).
% 19.92/13.49 tff(15119,assumption,(~v84(constB119, bitIndex1)), introduced(assumption)).
% 19.92/13.49 tff(15120,assumption,(~v124(constB119, bitIndex1)), introduced(assumption)).
% 19.92/13.49 tff(15121,plain,
% 19.92/13.49 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB119)) | v124(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB119)) | v124(constB119, bitIndex1))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15122,plain,
% 19.92/13.49 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB119)) | v124(constB119, bitIndex1))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15123,plain,
% 19.92/13.49 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB119)) | v124(constB119, bitIndex1)),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15122, 15121])).
% 19.92/13.49 tff(15124,plain,
% 19.92/13.49 (~v145(constB119)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15123, 790, 15120])).
% 19.92/13.49 tff(15125,plain,
% 19.92/13.49 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB119)) | v124(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB119)) | v124(constB119, bitIndex1))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15126,plain,
% 19.92/13.49 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB119)) | v124(constB119, bitIndex1))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15127,plain,
% 19.92/13.49 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB119)) | v124(constB119, bitIndex1)),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15126, 15125])).
% 19.92/13.49 tff(15128,plain,
% 19.92/13.49 (~v118(constB119)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15127, 1809, 15120])).
% 19.92/13.49 tff(15129,assumption,(v84(constB119, bitIndex0)), introduced(assumption)).
% 19.92/13.49 tff(15130,plain,
% 19.92/13.49 (v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15055, 1672, 15129])).
% 19.92/13.49 tff(15131,plain,
% 19.92/13.49 (~v84(constB119, bitIndex2)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15130, 15128, 15119])).
% 19.92/13.49 tff(15132,plain,
% 19.92/13.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15133,plain,
% 19.92/13.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15134,plain,
% 19.92/13.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119)),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 19.92/13.49 tff(15135,plain,
% 19.92/13.49 (v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15134, 624, 15129])).
% 19.92/13.49 tff(15136,plain,
% 19.92/13.49 ($false),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15135, 15131, 15124, 15119])).
% 19.92/13.49 tff(15137,plain,(v124(constB119, bitIndex1) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 19.92/13.49 tff(15138,plain,
% 19.92/13.49 (v124(constB119, bitIndex1)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15137, 14918, 15052])).
% 19.92/13.49 tff(15139,plain,
% 19.92/13.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15140,plain,
% 19.92/13.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15141,plain,
% 19.92/13.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1)),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 19.92/13.49 tff(15142,plain,
% 19.92/13.49 ((~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15141, 804, 15069])).
% 19.92/13.49 tff(15143,plain,
% 19.92/13.49 (v121(constB119, bitIndex1)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15142, 15138])).
% 19.92/13.49 tff(15144,plain,
% 19.92/13.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15145,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15146,plain,
% 19.92/13.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15145, 15144])).
% 19.92/13.49 tff(15147,plain,
% 19.92/13.49 ((~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15146, 819, 15084])).
% 19.92/13.49 tff(15148,plain,
% 19.92/13.49 (v123(constB120, bitIndex1)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15147, 15143])).
% 19.92/13.49 tff(15149,plain,
% 19.92/13.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15150,plain,
% 19.92/13.49 ((v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1))) <=> (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15151,plain,
% 19.92/13.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120))))),
% 19.92/13.49 inference(monotonicity,[status(thm)],[15150])).
% 19.92/13.49 tff(15152,plain,
% 19.92/13.49 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 19.92/13.49 inference(transitivity,[status(thm)],[15151, 15149])).
% 19.92/13.49 tff(15153,plain,
% 19.92/13.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))),
% 19.92/13.49 inference(quant_inst,[status(thm)],[])).
% 19.92/13.49 tff(15154,plain,
% 19.92/13.49 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120))),
% 19.92/13.49 inference(modus_ponens,[status(thm)],[15153, 15152])).
% 19.92/13.49 tff(15155,plain,
% 19.92/13.49 (v84(constB120, bitIndex1) | (~v94(constB120))),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15154, 834, 15148])).
% 19.92/13.49 tff(15156,plain,
% 19.92/13.49 (v84(constB120, bitIndex1)),
% 19.92/13.49 inference(unit_resolution,[status(thm)],[15155, 15118])).
% 19.92/13.49 tff(15157,plain,
% 19.92/13.49 ((~v1(constB121)) <=> (~v1(constB121))),
% 19.92/13.49 inference(rewrite,[status(thm)],[])).
% 19.92/13.49 tff(15158,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 19.92/13.50 tff(15159,plain,
% 19.92/13.50 (~v1(constB121)),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15158, 15157])).
% 19.92/13.50 tff(15160,plain,
% 19.92/13.50 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15161,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 19.92/13.50 tff(15162,plain,
% 19.92/13.50 (nextState(constB120, constB121)),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15161, 15160])).
% 19.92/13.50 tff(15163,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15164,plain,
% 19.92/13.50 (((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15165,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))))),
% 19.92/13.50 inference(monotonicity,[status(thm)],[15164])).
% 19.92/13.50 tff(15166,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 19.92/13.50 inference(transitivity,[status(thm)],[15165, 15163])).
% 19.92/13.50 tff(15167,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15168,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15167, 15166])).
% 19.92/13.50 tff(15169,plain,
% 19.92/13.50 (~v95(constB121)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15168, 89, 15162, 15159])).
% 19.92/13.50 tff(15170,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15171,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15172,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15171, 15170])).
% 19.92/13.50 tff(15173,plain,
% 19.92/13.50 (v95(constB121) | (~v94(constB121))),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15172, 106, 15162])).
% 19.92/13.50 tff(15174,plain,
% 19.92/13.50 (~v94(constB121)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15173, 15169])).
% 19.92/13.50 tff(15175,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15176,plain,
% 19.92/13.50 (((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1)) <=> ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15177,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1)))),
% 19.92/13.50 inference(monotonicity,[status(thm)],[15176])).
% 19.92/13.50 tff(15178,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 19.92/13.50 inference(transitivity,[status(thm)],[15177, 15175])).
% 19.92/13.50 tff(15179,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15180,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1)),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15179, 15178])).
% 19.92/13.50 tff(15181,plain,
% 19.92/13.50 ((~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15180, 852, 15162])).
% 19.92/13.50 tff(15182,plain,
% 19.92/13.50 ((~v84(constB120, bitIndex1)) | v84(constB121, bitIndex1)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15181, 15174])).
% 19.92/13.50 tff(15183,plain,
% 19.92/13.50 (v84(constB121, bitIndex1)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15182, 15156])).
% 19.92/13.50 tff(15184,plain,
% 19.92/13.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v118(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v118(constB121)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15185,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v118(constB121)))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15186,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v118(constB121))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15185, 15184])).
% 19.92/13.50 tff(15187,plain,
% 19.92/13.50 (~v118(constB121)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15186, 2001, 15183])).
% 19.92/13.50 tff(15188,plain,
% 19.92/13.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v172(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v172(constB121)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15189,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v172(constB121)))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15190,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v172(constB121))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15189, 15188])).
% 19.92/13.50 tff(15191,plain,
% 19.92/13.50 (~v172(constB121)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15190, 2023, 15183])).
% 19.92/13.50 tff(15192,plain,
% 19.92/13.50 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB119)) | v124(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB119)) | v124(constB119, bitIndex2))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15193,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB119)) | v124(constB119, bitIndex2))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15194,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB119)) | v124(constB119, bitIndex2)),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15193, 15192])).
% 19.92/13.50 tff(15195,plain,
% 19.92/13.50 (v124(constB119, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15194, 1750, 15057])).
% 19.92/13.50 tff(15196,plain,
% 19.92/13.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB119) | (~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB119) | (~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15197,plain,
% 19.92/13.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB119) | (~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15198,plain,
% 19.92/13.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB119) | (~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2)),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15197, 15196])).
% 19.92/13.50 tff(15199,plain,
% 19.92/13.50 ((~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15198, 1273, 15069])).
% 19.92/13.50 tff(15200,plain,
% 19.92/13.50 (v121(constB119, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15199, 15195])).
% 19.92/13.50 tff(15201,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15202,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15203,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2)),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15202, 15201])).
% 19.92/13.50 tff(15204,plain,
% 19.92/13.50 ((~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15203, 1288, 15084])).
% 19.92/13.50 tff(15205,plain,
% 19.92/13.50 (v123(constB120, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15204, 15200])).
% 19.92/13.50 tff(15206,plain,
% 19.92/13.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15207,plain,
% 19.92/13.50 ((v84(constB120, bitIndex2) | (~v94(constB120)) | (~v123(constB120, bitIndex2))) <=> (v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15208,plain,
% 19.92/13.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v94(constB120)) | (~v123(constB120, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120))))),
% 19.92/13.50 inference(monotonicity,[status(thm)],[15207])).
% 19.92/13.50 tff(15209,plain,
% 19.92/13.50 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v94(constB120)) | (~v123(constB120, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120)))),
% 19.92/13.50 inference(transitivity,[status(thm)],[15208, 15206])).
% 19.92/13.50 tff(15210,plain,
% 19.92/13.50 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v94(constB120)) | (~v123(constB120, bitIndex2)))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15211,plain,
% 19.92/13.50 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15210, 15209])).
% 19.92/13.50 tff(15212,plain,
% 19.92/13.50 (v84(constB120, bitIndex2) | (~v94(constB120))),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15211, 1303, 15205])).
% 19.92/13.50 tff(15213,plain,
% 19.92/13.50 (v84(constB120, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15212, 15118])).
% 19.92/13.50 tff(15214,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15215,plain,
% 19.92/13.50 (((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2)) <=> ((~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15216,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2)))),
% 19.92/13.50 inference(monotonicity,[status(thm)],[15215])).
% 19.92/13.50 tff(15217,plain,
% 19.92/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2))),
% 19.92/13.50 inference(transitivity,[status(thm)],[15216, 15214])).
% 19.92/13.50 tff(15218,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15219,plain,
% 19.92/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2)),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 19.92/13.50 tff(15220,plain,
% 19.92/13.50 ((~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15219, 1339, 15162])).
% 19.92/13.50 tff(15221,plain,
% 19.92/13.50 ((~v84(constB120, bitIndex2)) | v84(constB121, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15220, 15174])).
% 19.92/13.50 tff(15222,plain,
% 19.92/13.50 (v84(constB121, bitIndex2)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15221, 15213])).
% 19.92/13.50 tff(15223,plain,
% 19.92/13.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v115(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB121, bitIndex2)) | (~v115(constB121)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15224,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v115(constB121)))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15225,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB121, bitIndex2)) | (~v115(constB121))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 19.92/13.50 tff(15226,plain,
% 19.92/13.50 (~v115(constB121)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15225, 1965, 15222])).
% 19.92/13.50 tff(15227,plain,
% 19.92/13.50 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB121)) | (~v84(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB121)) | (~v84(constB121, bitIndex1)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15228,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB121)) | (~v84(constB121, bitIndex1)))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15229,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB121)) | (~v84(constB121, bitIndex1))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 19.92/13.50 tff(15230,plain,
% 19.92/13.50 (~v113(constB121)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15229, 1990, 15183])).
% 19.92/13.50 tff(15231,plain,
% 19.92/13.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v116(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB121, bitIndex2)) | (~v116(constB121)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15232,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v116(constB121)))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15233,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB121, bitIndex2)) | (~v116(constB121))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15232, 15231])).
% 19.92/13.50 tff(15234,plain,
% 19.92/13.50 (~v116(constB121)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15233, 1976, 15222])).
% 19.92/13.50 tff(15235,plain,
% 19.92/13.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v145(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v145(constB121)))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15236,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v145(constB121)))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15237,plain,
% 19.92/13.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v145(constB121))),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15236, 15235])).
% 19.92/13.50 tff(15238,plain,
% 19.92/13.50 (~v145(constB121)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15237, 2012, 15183])).
% 19.92/13.50 tff(15239,plain,
% 19.92/13.50 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15240,plain,
% 19.92/13.50 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | v124(constB121, bitIndex0)) <=> (v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15241,plain,
% 19.92/13.50 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | v124(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)))),
% 19.92/13.50 inference(monotonicity,[status(thm)],[15240])).
% 19.92/13.50 tff(15242,plain,
% 19.92/13.50 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | v124(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.92/13.50 inference(transitivity,[status(thm)],[15241, 15239])).
% 19.92/13.50 tff(15243,plain,
% 19.92/13.50 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | v124(constB121, bitIndex0))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15244,plain,
% 19.92/13.50 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)),
% 19.92/13.50 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 19.92/13.50 tff(15245,plain,
% 19.92/13.50 (v124(constB121, bitIndex0)),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15244, 2149, 15238, 15234, 15230, 15226, 15191, 15187])).
% 19.92/13.50 tff(15246,assumption,(v26(constB121)), introduced(assumption)).
% 19.92/13.50 tff(15247,plain,
% 19.92/13.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 19.92/13.50 inference(quant_inst,[status(thm)],[])).
% 19.92/13.50 tff(15248,plain,
% 19.92/13.50 ($false),
% 19.92/13.50 inference(unit_resolution,[status(thm)],[15247, 18, 15246])).
% 19.92/13.50 tff(15249,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 19.92/13.50 tff(15250,plain,
% 19.92/13.50 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB121) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB121) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))),
% 19.92/13.50 inference(rewrite,[status(thm)],[])).
% 19.92/13.50 tff(15251,plain,
% 19.92/13.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB121) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))),
% 19.93/13.50 inference(quant_inst,[status(thm)],[])).
% 19.93/13.50 tff(15252,plain,
% 19.93/13.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB121) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0)),
% 19.93/13.50 inference(modus_ponens,[status(thm)],[15251, 15250])).
% 19.93/13.50 tff(15253,plain,
% 19.93/13.50 ((~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0)),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15252, 557, 15249])).
% 19.93/13.50 tff(15254,plain,
% 19.93/13.50 (v121(constB121, bitIndex0)),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15253, 15245])).
% 19.93/13.50 tff(15255,plain,
% 19.93/13.50 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 19.93/13.50 inference(rewrite,[status(thm)],[])).
% 19.93/13.50 tff(15256,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 19.93/13.50 tff(15257,plain,
% 19.93/13.50 (nextState(constB121, constB122)),
% 19.93/13.50 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 19.93/13.50 tff(15258,plain,
% 19.93/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0))),
% 19.93/13.50 inference(rewrite,[status(thm)],[])).
% 19.93/13.50 tff(15259,plain,
% 19.93/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0))),
% 19.93/13.50 inference(quant_inst,[status(thm)],[])).
% 19.93/13.50 tff(15260,plain,
% 19.93/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0)),
% 19.93/13.50 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 19.93/13.50 tff(15261,plain,
% 19.93/13.50 ((~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0)),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15260, 572, 15257])).
% 19.93/13.50 tff(15262,plain,
% 19.93/13.50 (v123(constB122, bitIndex0)),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15261, 15254])).
% 19.93/13.50 tff(15263,plain,
% 19.93/13.50 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB119)) | (~v124(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB119)) | (~v124(constB119, bitIndex0)))),
% 19.93/13.50 inference(rewrite,[status(thm)],[])).
% 19.93/13.50 tff(15264,plain,
% 19.93/13.50 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB119)) | (~v124(constB119, bitIndex0)))),
% 19.93/13.50 inference(quant_inst,[status(thm)],[])).
% 19.93/13.50 tff(15265,plain,
% 19.93/13.50 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB119)) | (~v124(constB119, bitIndex0))),
% 19.93/13.50 inference(modus_ponens,[status(thm)],[15264, 15263])).
% 19.93/13.50 tff(15266,plain,
% 19.93/13.50 (~v124(constB119, bitIndex0)),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15265, 1850, 15057])).
% 19.93/13.50 tff(15267,plain,
% 19.93/13.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0))),
% 19.93/13.50 inference(rewrite,[status(thm)],[])).
% 19.93/13.50 tff(15268,plain,
% 19.93/13.50 ((v26(constB119) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0))) <=> ((~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0))),
% 19.93/13.50 inference(rewrite,[status(thm)],[])).
% 19.93/13.50 tff(15269,plain,
% 19.93/13.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB119) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0)))),
% 19.93/13.50 inference(monotonicity,[status(thm)],[15268])).
% 19.93/13.50 tff(15270,plain,
% 19.93/13.50 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB119) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0))),
% 19.93/13.50 inference(transitivity,[status(thm)],[15269, 15267])).
% 19.93/13.50 tff(15271,plain,
% 19.93/13.50 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB119) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))),
% 19.93/13.50 inference(quant_inst,[status(thm)],[])).
% 19.93/13.50 tff(15272,plain,
% 19.93/13.50 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0)),
% 19.93/13.50 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 19.93/13.50 tff(15273,plain,
% 19.93/13.50 ((~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0)),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15272, 885, 15069])).
% 19.93/13.50 tff(15274,plain,
% 19.93/13.50 (~v121(constB119, bitIndex0)),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15273, 15266])).
% 19.93/13.50 tff(15275,plain,
% 19.93/13.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0)))),
% 19.93/13.50 inference(rewrite,[status(thm)],[])).
% 19.93/13.50 tff(15276,plain,
% 19.93/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0)))),
% 19.93/13.50 inference(quant_inst,[status(thm)],[])).
% 19.93/13.50 tff(15277,plain,
% 19.93/13.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0))),
% 19.93/13.50 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 19.93/13.50 tff(15278,plain,
% 19.93/13.50 (v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0))),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15277, 903, 15084])).
% 19.93/13.50 tff(15279,plain,
% 19.93/13.50 (~v123(constB120, bitIndex0)),
% 19.93/13.50 inference(unit_resolution,[status(thm)],[15278, 15274])).
% 19.93/13.50 tff(15280,plain,
% 19.93/13.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120)))),
% 19.93/13.50 inference(rewrite,[status(thm)],[])).
% 19.93/13.50 tff(15281,plain,
% 19.93/13.50 (((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0)) <=> ((~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120)))),
% 19.93/13.50 inference(rewrite,[status(thm)],[])).
% 19.93/13.50 tff(15282,plain,
% 19.93/13.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120))))),
% 19.93/13.50 inference(monotonicity,[status(thm)],[15281])).
% 19.93/13.50 tff(15283,plain,
% 19.93/13.50 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120)))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15282, 15280])).
% 19.93/13.51 tff(15284,plain,
% 19.93/13.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15285,plain,
% 19.93/13.51 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 19.93/13.51 tff(15286,plain,
% 19.93/13.51 ((~v84(constB120, bitIndex0)) | (~v94(constB120))),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15285, 918, 15279])).
% 19.93/13.51 tff(15287,plain,
% 19.93/13.51 (~v84(constB120, bitIndex0)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15286, 15118])).
% 19.93/13.51 tff(15288,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15289,plain,
% 19.93/13.51 (((~nextState(constB120, constB121)) | v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0))) <=> (v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15290,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0))))),
% 19.93/13.51 inference(monotonicity,[status(thm)],[15289])).
% 19.93/13.51 tff(15291,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0)))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15290, 15288])).
% 19.93/13.51 tff(15292,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15293,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 19.93/13.51 tff(15294,plain,
% 19.93/13.51 (v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0))),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15293, 163, 15162])).
% 19.93/13.51 tff(15295,plain,
% 19.93/13.51 (v84(constB120, bitIndex0) | (~v84(constB121, bitIndex0))),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15294, 15174])).
% 19.93/13.51 tff(15296,plain,
% 19.93/13.51 (~v84(constB121, bitIndex0)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15295, 15287])).
% 19.93/13.51 tff(15297,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15298,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15299,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121)),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15298, 15297])).
% 19.93/13.51 tff(15300,plain,
% 19.93/13.51 (v119(constB121)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15299, 1894, 15296, 15183, 15222])).
% 19.93/13.51 tff(15301,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB121) | (~v119(constB121)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB121) | (~v119(constB121)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15302,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB121) | (~v119(constB121)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15303,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB121) | (~v119(constB121))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15302, 15301])).
% 19.93/13.51 tff(15304,plain,
% 19.93/13.51 (v107(constB121)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15303, 1905, 15300])).
% 19.93/13.51 tff(15305,assumption,(~v102(constB121)), introduced(assumption)).
% 19.93/13.51 tff(15306,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB121) | (~v106(constB121)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB121) | (~v106(constB121)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15307,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB121) | (~v106(constB121)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15308,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB121) | (~v106(constB121))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15307, 15306])).
% 19.93/13.51 tff(15309,plain,
% 19.93/13.51 (~v106(constB121)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15308, 276, 15305])).
% 19.93/13.51 tff(15310,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB121) | (~v26(constB121)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB121) | (~v26(constB121)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15311,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB121) | (~v26(constB121)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15312,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB121) | (~v26(constB121))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 19.93/13.51 tff(15313,plain,
% 19.93/13.51 (~v26(constB121)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15312, 670, 15305])).
% 19.93/13.51 tff(15314,assumption,(v107(constB121)), introduced(assumption)).
% 19.93/13.51 tff(15315,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15316,plain,
% 19.93/13.51 ((v26(constB121) | (~v107(constB121)) | v106(constB121)) <=> (v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15317,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121))))),
% 19.93/13.51 inference(monotonicity,[status(thm)],[15316])).
% 19.93/13.51 tff(15318,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15317, 15315])).
% 19.93/13.51 tff(15319,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15320,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15319, 15318])).
% 19.93/13.51 tff(15321,plain,
% 19.93/13.51 (v26(constB121) | v106(constB121)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15320, 264, 15314])).
% 19.93/13.51 tff(15322,plain,
% 19.93/13.51 ($false),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15321, 15313, 15309])).
% 19.93/13.51 tff(15323,plain,(v102(constB121) | (~v107(constB121))), inference(lemma,lemma(discharge,[]))).
% 19.93/13.51 tff(15324,plain,
% 19.93/13.51 (v102(constB121)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15323, 15304])).
% 19.93/13.51 tff(15325,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15326,plain,
% 19.93/13.51 (((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15327,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))))),
% 19.93/13.51 inference(monotonicity,[status(thm)],[15326])).
% 19.93/13.51 tff(15328,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15327, 15325])).
% 19.93/13.51 tff(15329,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15330,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15329, 15328])).
% 19.93/13.51 tff(15331,plain,
% 19.93/13.51 (v104(constB122) | (~v102(constB121))),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15330, 293, 15257])).
% 19.93/13.51 tff(15332,plain,
% 19.93/13.51 (v104(constB122)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15331, 15324])).
% 19.93/13.51 tff(15333,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15334,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15335,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 19.93/13.51 tff(15336,plain,
% 19.93/13.51 (~v98(constB122)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15335, 311, 15257, 15159])).
% 19.93/13.51 tff(15337,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15338,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15339,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122)),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15338, 15337])).
% 19.93/13.51 tff(15340,plain,
% 19.93/13.51 (v96(constB122) | v98(constB122)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15339, 325, 15257])).
% 19.93/13.51 tff(15341,plain,
% 19.93/13.51 (v96(constB122)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15340, 15336])).
% 19.93/13.51 tff(15342,plain,
% 19.93/13.51 (v1(constB122) <=> v1(constB122)),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15343,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 19.93/13.51 tff(15344,plain,
% 19.93/13.51 (v1(constB122)),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15343, 15342])).
% 19.93/13.51 tff(15345,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15346,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15347,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15346, 15345])).
% 19.93/13.51 tff(15348,plain,
% 19.93/13.51 (v95(constB122) | (~v96(constB122))),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15347, 343, 15257, 15344])).
% 19.93/13.51 tff(15349,plain,
% 19.93/13.51 (v95(constB122)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15348, 15341])).
% 19.93/13.51 tff(15350,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15351,plain,
% 19.93/13.51 (((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122)) <=> ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15352,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122))))),
% 19.93/13.51 inference(monotonicity,[status(thm)],[15351])).
% 19.93/13.51 tff(15353,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15352, 15350])).
% 19.93/13.51 tff(15354,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15355,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 19.93/13.51 tff(15356,plain,
% 19.93/13.51 (v94(constB122) | (~v95(constB122)) | (~v104(constB122))),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15355, 358, 15257])).
% 19.93/13.51 tff(15357,plain,
% 19.93/13.51 (v94(constB122) | (~v104(constB122))),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15356, 15349])).
% 19.93/13.51 tff(15358,plain,
% 19.93/13.51 (v94(constB122)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15357, 15332])).
% 19.93/13.51 tff(15359,plain,
% 19.93/13.51 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15360,plain,
% 19.93/13.51 ((v84(constB122, bitIndex0) | (~v94(constB122)) | (~v123(constB122, bitIndex0))) <=> (v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15361,plain,
% 19.93/13.51 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v94(constB122)) | (~v123(constB122, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122))))),
% 19.93/13.51 inference(monotonicity,[status(thm)],[15360])).
% 19.93/13.51 tff(15362,plain,
% 19.93/13.51 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v94(constB122)) | (~v123(constB122, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122)))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15361, 15359])).
% 19.93/13.51 tff(15363,plain,
% 19.93/13.51 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v94(constB122)) | (~v123(constB122, bitIndex0)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15364,plain,
% 19.93/13.51 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15363, 15362])).
% 19.93/13.51 tff(15365,plain,
% 19.93/13.51 (v84(constB122, bitIndex0)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15364, 587, 15358, 15262])).
% 19.93/13.51 tff(15366,plain,
% 19.93/13.51 ((~v1(constB123)) <=> (~v1(constB123))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15367,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 19.93/13.51 tff(15368,plain,
% 19.93/13.51 (~v1(constB123)),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15367, 15366])).
% 19.93/13.51 tff(15369,plain,
% 19.93/13.51 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15370,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 19.93/13.51 tff(15371,plain,
% 19.93/13.51 (nextState(constB122, constB123)),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15370, 15369])).
% 19.93/13.51 tff(15372,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15373,plain,
% 19.93/13.51 (((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15374,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))))),
% 19.93/13.51 inference(monotonicity,[status(thm)],[15373])).
% 19.93/13.51 tff(15375,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15374, 15372])).
% 19.93/13.51 tff(15376,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15377,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15376, 15375])).
% 19.93/13.51 tff(15378,plain,
% 19.93/13.51 (~v95(constB123)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15377, 89, 15371, 15368])).
% 19.93/13.51 tff(15379,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15380,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15381,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 19.93/13.51 tff(15382,plain,
% 19.93/13.51 (v95(constB123) | (~v94(constB123))),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15381, 106, 15371])).
% 19.93/13.51 tff(15383,plain,
% 19.93/13.51 (~v94(constB123)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15382, 15378])).
% 19.93/13.51 tff(15384,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15385,plain,
% 19.93/13.51 (((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0)) <=> ((~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15386,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0)))),
% 19.93/13.51 inference(monotonicity,[status(thm)],[15385])).
% 19.93/13.51 tff(15387,plain,
% 19.93/13.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15386, 15384])).
% 19.93/13.51 tff(15388,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15389,plain,
% 19.93/13.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0)),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15388, 15387])).
% 19.93/13.51 tff(15390,plain,
% 19.93/13.51 ((~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15389, 605, 15371])).
% 19.93/13.51 tff(15391,plain,
% 19.93/13.51 ((~v84(constB122, bitIndex0)) | v84(constB123, bitIndex0)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15390, 15383])).
% 19.93/13.51 tff(15392,plain,
% 19.93/13.51 (v84(constB123, bitIndex0)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15391, 15365])).
% 19.93/13.51 tff(15393,plain,
% 19.93/13.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB123, bitIndex0)) | (~v172(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB123, bitIndex0)) | (~v172(constB123)))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15394,plain,
% 19.93/13.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB123, bitIndex0)) | (~v172(constB123)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15395,plain,
% 19.93/13.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB123, bitIndex0)) | (~v172(constB123))),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 19.93/13.51 tff(15396,plain,
% 19.93/13.51 (~v172(constB123)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15395, 10570, 15392])).
% 19.93/13.51 tff(15397,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15398,plain,
% 19.93/13.51 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex2))) <=> ((~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15399,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)))),
% 19.93/13.51 inference(monotonicity,[status(thm)],[15398])).
% 19.93/13.51 tff(15400,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.93/13.51 inference(transitivity,[status(thm)],[15399, 15397])).
% 19.93/13.51 tff(15401,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex2)))),
% 19.93/13.51 inference(quant_inst,[status(thm)],[])).
% 19.93/13.51 tff(15402,plain,
% 19.93/13.51 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)),
% 19.93/13.51 inference(modus_ponens,[status(thm)],[15401, 15400])).
% 19.93/13.51 tff(15403,plain,
% 19.93/13.51 (~v124(constB121, bitIndex2)),
% 19.93/13.51 inference(unit_resolution,[status(thm)],[15402, 2037, 15238, 15234, 15230, 15226, 15191, 15187])).
% 19.93/13.51 tff(15404,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15405,plain,
% 19.93/13.51 ((v26(constB121) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2))) <=> ((~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2))),
% 19.93/13.51 inference(rewrite,[status(thm)],[])).
% 19.93/13.51 tff(15406,plain,
% 19.93/13.51 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB121) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2)))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15405])).
% 19.93/13.52 tff(15407,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB121) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15406, 15404])).
% 19.93/13.52 tff(15408,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB121) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15409,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2)),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15408, 15407])).
% 19.93/13.52 tff(15410,plain,
% 19.93/13.52 ((~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15409, 391, 15249])).
% 19.93/13.52 tff(15411,plain,
% 19.93/13.52 (~v121(constB121, bitIndex2)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15410, 15403])).
% 19.93/13.52 tff(15412,plain,
% 19.93/13.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15413,plain,
% 19.93/13.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15414,plain,
% 19.93/13.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 19.93/13.52 tff(15415,plain,
% 19.93/13.52 (v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2))),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15414, 409, 15257])).
% 19.93/13.52 tff(15416,plain,
% 19.93/13.52 (~v123(constB122, bitIndex2)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15415, 15411])).
% 19.93/13.52 tff(15417,plain,
% 19.93/13.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15418,plain,
% 19.93/13.52 (((~v84(constB122, bitIndex2)) | (~v94(constB122)) | v123(constB122, bitIndex2)) <=> ((~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15419,plain,
% 19.93/13.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | (~v94(constB122)) | v123(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122))))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15418])).
% 19.93/13.52 tff(15420,plain,
% 19.93/13.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | (~v94(constB122)) | v123(constB122, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122)))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15419, 15417])).
% 19.93/13.52 tff(15421,plain,
% 19.93/13.52 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB122, bitIndex2)) | (~v94(constB122)) | v123(constB122, bitIndex2))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15422,plain,
% 19.93/13.52 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 19.93/13.52 tff(15423,plain,
% 19.93/13.52 (~v84(constB122, bitIndex2)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15422, 424, 15358, 15416])).
% 19.93/13.52 tff(15424,plain,
% 19.93/13.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15425,plain,
% 19.93/13.52 (((~nextState(constB122, constB123)) | v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2))) <=> (v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15426,plain,
% 19.93/13.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2))))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15425])).
% 19.93/13.52 tff(15427,plain,
% 19.93/13.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2)))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15426, 15424])).
% 19.93/13.52 tff(15428,plain,
% 19.93/13.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15429,plain,
% 19.93/13.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15428, 15427])).
% 19.93/13.52 tff(15430,plain,
% 19.93/13.52 (v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2))),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15429, 121, 15371])).
% 19.93/13.52 tff(15431,plain,
% 19.93/13.52 (v84(constB122, bitIndex2) | (~v84(constB123, bitIndex2))),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15430, 15383])).
% 19.93/13.52 tff(15432,plain,
% 19.93/13.52 (~v84(constB123, bitIndex2)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15431, 15423])).
% 19.93/13.52 tff(15433,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15434,plain,
% 19.93/13.52 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex1))) <=> ((~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15435,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15434])).
% 19.93/13.52 tff(15436,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15435, 15433])).
% 19.93/13.52 tff(15437,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex1)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15438,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15437, 15436])).
% 19.93/13.52 tff(15439,plain,
% 19.93/13.52 (~v124(constB121, bitIndex1)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15438, 2102, 15238, 15234, 15230, 15226, 15191, 15187])).
% 19.93/13.52 tff(15440,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15441,plain,
% 19.93/13.52 ((v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1))) <=> ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15442,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1)))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15441])).
% 19.93/13.52 tff(15443,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15442, 15440])).
% 19.93/13.52 tff(15444,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15445,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1)),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15444, 15443])).
% 19.93/13.52 tff(15446,plain,
% 19.93/13.52 ((~v121(constB121, bitIndex1)) | v124(constB121, bitIndex1)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15445, 483, 15249])).
% 19.93/13.52 tff(15447,plain,
% 19.93/13.52 (~v121(constB121, bitIndex1)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15446, 15439])).
% 19.93/13.52 tff(15448,plain,
% 19.93/13.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15449,plain,
% 19.93/13.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15450,plain,
% 19.93/13.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15449, 15448])).
% 19.93/13.52 tff(15451,plain,
% 19.93/13.52 (v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1))),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15450, 501, 15257])).
% 19.93/13.52 tff(15452,plain,
% 19.93/13.52 (~v123(constB122, bitIndex1)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15451, 15447])).
% 19.93/13.52 tff(15453,plain,
% 19.93/13.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15454,plain,
% 19.93/13.52 (((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1)) <=> ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15455,plain,
% 19.93/13.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122))))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15454])).
% 19.93/13.52 tff(15456,plain,
% 19.93/13.52 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15455, 15453])).
% 19.93/13.52 tff(15457,plain,
% 19.93/13.52 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15458,plain,
% 19.93/13.52 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15457, 15456])).
% 19.93/13.52 tff(15459,plain,
% 19.93/13.52 (~v84(constB122, bitIndex1)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15458, 516, 15358, 15452])).
% 19.93/13.52 tff(15460,plain,
% 19.93/13.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15461,plain,
% 19.93/13.52 (((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1))) <=> (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15462,plain,
% 19.93/13.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1))))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15461])).
% 19.93/13.52 tff(15463,plain,
% 19.93/13.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15462, 15460])).
% 19.93/13.52 tff(15464,plain,
% 19.93/13.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15465,plain,
% 19.93/13.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15464, 15463])).
% 19.93/13.52 tff(15466,plain,
% 19.93/13.52 (v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1))),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15465, 142, 15371])).
% 19.93/13.52 tff(15467,plain,
% 19.93/13.52 (v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1))),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15466, 15383])).
% 19.93/13.52 tff(15468,plain,
% 19.93/13.52 (~v84(constB123, bitIndex1)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15467, 15459])).
% 19.93/13.52 tff(15469,plain,
% 19.93/13.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15470,plain,
% 19.93/13.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15471,plain,
% 19.93/13.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123)),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15470, 15469])).
% 19.93/13.52 tff(15472,plain,
% 19.93/13.52 (v145(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15471, 624, 15392, 15468, 15432])).
% 19.93/13.52 tff(15473,plain,
% 19.93/13.52 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB123)) | (~v124(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB123)) | (~v124(constB123, bitIndex0)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15474,plain,
% 19.93/13.52 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB123)) | (~v124(constB123, bitIndex0)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15475,plain,
% 19.93/13.52 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB123)) | (~v124(constB123, bitIndex0))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15474, 15473])).
% 19.93/13.52 tff(15476,plain,
% 19.93/13.52 (~v124(constB123, bitIndex0)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15475, 871, 15472])).
% 19.93/13.52 tff(15477,assumption,(~v108(constB123)), introduced(assumption)).
% 19.93/13.52 tff(15478,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB123) | (~v109(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB123) | (~v109(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15479,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB123) | (~v109(constB123)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15480,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB123) | (~v109(constB123))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15479, 15478])).
% 19.93/13.52 tff(15481,plain,
% 19.93/13.52 (~v109(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15480, 239, 15477])).
% 19.93/13.52 tff(15482,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB123) | (~v110(constB123)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB123) | (~v110(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15483,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB123) | (~v110(constB123)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15484,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB123) | (~v110(constB123))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 19.93/13.52 tff(15485,plain,
% 19.93/13.52 (~v110(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15484, 228, 15481])).
% 19.93/13.52 tff(15486,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB123) | (~v111(constB123)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB123) | (~v111(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15487,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB123) | (~v111(constB123)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15488,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB123) | (~v111(constB123))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15487, 15486])).
% 19.93/13.52 tff(15489,plain,
% 19.93/13.52 (~v111(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15488, 217, 15485])).
% 19.93/13.52 tff(15490,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB123) | (~v112(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15491,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB123) | (~v112(constB123)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15492,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB123) | (~v112(constB123))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 19.93/13.52 tff(15493,plain,
% 19.93/13.52 (~v112(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15492, 206, 15489])).
% 19.93/13.52 tff(15494,assumption,(~v124(constB123, bitIndex0)), introduced(assumption)).
% 19.93/13.52 tff(15495,plain,
% 19.93/13.52 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB123)) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB123)) | v124(constB123, bitIndex0))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15496,plain,
% 19.93/13.52 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB123)) | v124(constB123, bitIndex0))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15497,plain,
% 19.93/13.52 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB123)) | v124(constB123, bitIndex0)),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 19.93/13.52 tff(15498,plain,
% 19.93/13.52 (~v113(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15497, 543, 15494])).
% 19.93/13.52 tff(15499,plain,
% 19.93/13.52 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB123)) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB123)) | v124(constB123, bitIndex0))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15500,plain,
% 19.93/13.52 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB123)) | v124(constB123, bitIndex0))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15501,plain,
% 19.93/13.52 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB123)) | v124(constB123, bitIndex0)),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15500, 15499])).
% 19.93/13.52 tff(15502,plain,
% 19.93/13.52 (~v115(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15501, 1135, 15494])).
% 19.93/13.52 tff(15503,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB123) | (~v118(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15504,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB123) | (~v118(constB123)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15505,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB123) | (~v118(constB123))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15504, 15503])).
% 19.93/13.52 tff(15506,plain,
% 19.93/13.52 (~v118(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15505, 1683, 15477])).
% 19.93/13.52 tff(15507,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB123) | (~v116(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15508,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB123) | (~v116(constB123)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15509,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB123) | (~v116(constB123))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15508, 15507])).
% 19.93/13.52 tff(15510,plain,
% 19.93/13.52 (~v116(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15509, 1187, 15485])).
% 19.93/13.52 tff(15511,assumption,(~v172(constB123)), introduced(assumption)).
% 19.93/13.52 tff(15512,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB123) | v172(constB123) | v118(constB123) | v116(constB123) | v115(constB123) | v113(constB123) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB123) | v172(constB123) | v118(constB123) | v116(constB123) | v115(constB123) | v113(constB123) | v124(constB123, bitIndex0))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15513,plain,
% 19.93/13.52 ((v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | v124(constB123, bitIndex0)) <=> (v145(constB123) | v172(constB123) | v118(constB123) | v116(constB123) | v115(constB123) | v113(constB123) | v124(constB123, bitIndex0))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15514,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB123) | v172(constB123) | v118(constB123) | v116(constB123) | v115(constB123) | v113(constB123) | v124(constB123, bitIndex0)))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15513])).
% 19.93/13.52 tff(15515,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB123) | v172(constB123) | v118(constB123) | v116(constB123) | v115(constB123) | v113(constB123) | v124(constB123, bitIndex0))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15514, 15512])).
% 19.93/13.52 tff(15516,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | v124(constB123, bitIndex0))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15517,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB123) | v172(constB123) | v118(constB123) | v116(constB123) | v115(constB123) | v113(constB123) | v124(constB123, bitIndex0)),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 19.93/13.52 tff(15518,plain,
% 19.93/13.52 (v145(constB123) | v118(constB123) | v116(constB123) | v115(constB123) | v113(constB123) | v124(constB123, bitIndex0)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15517, 2149, 15511])).
% 19.93/13.52 tff(15519,plain,
% 19.93/13.52 (v145(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15518, 15510, 15494, 15506, 15502, 15498])).
% 19.93/13.52 tff(15520,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB123) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB123) | (~v145(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15521,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB123) | (~v145(constB123)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15522,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB123) | (~v145(constB123))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15521, 15520])).
% 19.93/13.52 tff(15523,plain,
% 19.93/13.52 ($false),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15522, 681, 15519, 15493])).
% 19.93/13.52 tff(15524,plain,(v108(constB123) | v124(constB123, bitIndex0) | v172(constB123)), inference(lemma,lemma(discharge,[]))).
% 19.93/13.52 tff(15525,plain,
% 19.93/13.52 (v108(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15524, 15476, 15396])).
% 19.93/13.52 tff(15526,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB123) | (~v108(constB123)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB123) | (~v108(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15527,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB123) | (~v108(constB123)))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15528,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB123) | (~v108(constB123))),
% 19.93/13.52 inference(modus_ponens,[status(thm)],[15527, 15526])).
% 19.93/13.52 tff(15529,plain,
% 19.93/13.52 (v107(constB123)),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15528, 250, 15525])).
% 19.93/13.52 tff(15530,assumption,(v26(constB123)), introduced(assumption)).
% 19.93/13.52 tff(15531,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 19.93/13.52 inference(quant_inst,[status(thm)],[])).
% 19.93/13.52 tff(15532,plain,
% 19.93/13.52 ($false),
% 19.93/13.52 inference(unit_resolution,[status(thm)],[15531, 18, 15530])).
% 19.93/13.52 tff(15533,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 19.93/13.52 tff(15534,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | v106(constB123) | (~v107(constB123)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | v106(constB123) | (~v107(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15535,plain,
% 19.93/13.52 ((v26(constB123) | (~v107(constB123)) | v106(constB123)) <=> (v26(constB123) | v106(constB123) | (~v107(constB123)))),
% 19.93/13.52 inference(rewrite,[status(thm)],[])).
% 19.93/13.52 tff(15536,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | v106(constB123) | (~v107(constB123))))),
% 19.93/13.52 inference(monotonicity,[status(thm)],[15535])).
% 19.93/13.52 tff(15537,plain,
% 19.93/13.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | v106(constB123) | (~v107(constB123)))),
% 19.93/13.52 inference(transitivity,[status(thm)],[15536, 15534])).
% 19.93/13.52 tff(15538,plain,
% 19.93/13.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15539,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | v106(constB123) | (~v107(constB123))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15538, 15537])).
% 19.93/13.53 tff(15540,plain,
% 19.93/13.53 (v106(constB123) | (~v107(constB123))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15539, 264, 15533])).
% 19.93/13.53 tff(15541,plain,
% 19.93/13.53 (v106(constB123)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15540, 15529])).
% 19.93/13.53 tff(15542,plain,
% 19.93/13.53 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB123) | (~v106(constB123)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB123) | (~v106(constB123)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15543,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB123) | (~v106(constB123)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15544,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB123) | (~v106(constB123))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 19.93/13.53 tff(15545,plain,
% 19.93/13.53 (v102(constB123)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15544, 276, 15541])).
% 19.93/13.53 tff(15546,plain,
% 19.93/13.53 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15547,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 19.93/13.53 tff(15548,plain,
% 19.93/13.53 (nextState(constB123, constB124)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 19.93/13.53 tff(15549,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15550,plain,
% 19.93/13.53 (((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15551,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15550])).
% 19.93/13.53 tff(15552,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15551, 15549])).
% 19.93/13.53 tff(15553,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15554,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15553, 15552])).
% 19.93/13.53 tff(15555,plain,
% 19.93/13.53 (v104(constB124) | (~v102(constB123))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15554, 293, 15548])).
% 19.93/13.53 tff(15556,plain,
% 19.93/13.53 (v104(constB124)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15555, 15545])).
% 19.93/13.53 tff(15557,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15558,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15559,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 19.93/13.53 tff(15560,plain,
% 19.93/13.53 (~v98(constB124)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15559, 311, 15548, 15368])).
% 19.93/13.53 tff(15561,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15562,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15563,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 19.93/13.53 tff(15564,plain,
% 19.93/13.53 (v96(constB124) | v98(constB124)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15563, 325, 15548])).
% 19.93/13.53 tff(15565,plain,
% 19.93/13.53 (v96(constB124)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15564, 15560])).
% 19.93/13.53 tff(15566,plain,
% 19.93/13.53 (v1(constB124) <=> v1(constB124)),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15567,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 19.93/13.53 tff(15568,plain,
% 19.93/13.53 (v1(constB124)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15567, 15566])).
% 19.93/13.53 tff(15569,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15570,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15571,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15570, 15569])).
% 19.93/13.53 tff(15572,plain,
% 19.93/13.53 (v95(constB124) | (~v96(constB124))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15571, 343, 15548, 15568])).
% 19.93/13.53 tff(15573,plain,
% 19.93/13.53 (v95(constB124)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15572, 15565])).
% 19.93/13.53 tff(15574,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15575,plain,
% 19.93/13.53 (((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124)) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15576,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124))))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15575])).
% 19.93/13.53 tff(15577,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15576, 15574])).
% 19.93/13.53 tff(15578,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15579,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15578, 15577])).
% 19.93/13.53 tff(15580,plain,
% 19.93/13.53 (v94(constB124) | (~v95(constB124)) | (~v104(constB124))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15579, 358, 15548])).
% 19.93/13.53 tff(15581,plain,
% 19.93/13.53 (v94(constB124) | (~v104(constB124))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15580, 15573])).
% 19.93/13.53 tff(15582,plain,
% 19.93/13.53 (v94(constB124)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15581, 15556])).
% 19.93/13.53 tff(15583,plain,
% 19.93/13.53 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB123)) | (~v124(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB123)) | (~v124(constB123, bitIndex2)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15584,plain,
% 19.93/13.53 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB123)) | (~v124(constB123, bitIndex2)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15585,plain,
% 19.93/13.53 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB123)) | (~v124(constB123, bitIndex2))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15584, 15583])).
% 19.93/13.53 tff(15586,plain,
% 19.93/13.53 (~v124(constB123, bitIndex2)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15585, 638, 15472])).
% 19.93/13.53 tff(15587,plain,
% 19.93/13.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15588,plain,
% 19.93/13.53 ((v26(constB123) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2))) <=> ((~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15589,plain,
% 19.93/13.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB123) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2)))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15588])).
% 19.93/13.53 tff(15590,plain,
% 19.93/13.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB123) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15589, 15587])).
% 19.93/13.53 tff(15591,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB123) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15592,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15591, 15590])).
% 19.93/13.53 tff(15593,plain,
% 19.93/13.53 ((~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15592, 391, 15533])).
% 19.93/13.53 tff(15594,plain,
% 19.93/13.53 (~v121(constB123, bitIndex2)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15593, 15586])).
% 19.93/13.53 tff(15595,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15596,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15597,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15596, 15595])).
% 19.93/13.53 tff(15598,plain,
% 19.93/13.53 (v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15597, 409, 15548])).
% 19.93/13.53 tff(15599,plain,
% 19.93/13.53 (~v123(constB124, bitIndex2)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15598, 15594])).
% 19.93/13.53 tff(15600,plain,
% 19.93/13.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15601,plain,
% 19.93/13.53 (((~v84(constB124, bitIndex2)) | (~v94(constB124)) | v123(constB124, bitIndex2)) <=> ((~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15602,plain,
% 19.93/13.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | (~v94(constB124)) | v123(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124))))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15601])).
% 19.93/13.53 tff(15603,plain,
% 19.93/13.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | (~v94(constB124)) | v123(constB124, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124)))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15602, 15600])).
% 19.93/13.53 tff(15604,plain,
% 19.93/13.53 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB124, bitIndex2)) | (~v94(constB124)) | v123(constB124, bitIndex2))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15605,plain,
% 19.93/13.53 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 19.93/13.53 tff(15606,plain,
% 19.93/13.53 ((~v84(constB124, bitIndex2)) | (~v94(constB124))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15605, 424, 15599])).
% 19.93/13.53 tff(15607,plain,
% 19.93/13.53 (~v84(constB124, bitIndex2)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15606, 15582])).
% 19.93/13.53 tff(15608,plain,
% 19.93/13.53 ((~v1(constB125)) <=> (~v1(constB125))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15609,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 19.93/13.53 tff(15610,plain,
% 19.93/13.53 (~v1(constB125)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 19.93/13.53 tff(15611,plain,
% 19.93/13.53 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15612,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 19.93/13.53 tff(15613,plain,
% 19.93/13.53 (nextState(constB124, constB125)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15612, 15611])).
% 19.93/13.53 tff(15614,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15615,plain,
% 19.93/13.53 (((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15616,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15615])).
% 19.93/13.53 tff(15617,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15616, 15614])).
% 19.93/13.53 tff(15618,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15619,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 19.93/13.53 tff(15620,plain,
% 19.93/13.53 (~v95(constB125)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15619, 89, 15613, 15610])).
% 19.93/13.53 tff(15621,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15622,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15623,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 19.93/13.53 tff(15624,plain,
% 19.93/13.53 (v95(constB125) | (~v94(constB125))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15623, 106, 15613])).
% 19.93/13.53 tff(15625,plain,
% 19.93/13.53 (~v94(constB125)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15624, 15620])).
% 19.93/13.53 tff(15626,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15627,plain,
% 19.93/13.53 (((~nextState(constB124, constB125)) | v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2))) <=> (v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15628,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2))))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15627])).
% 19.93/13.53 tff(15629,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2)))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15628, 15626])).
% 19.93/13.53 tff(15630,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15631,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15630, 15629])).
% 19.93/13.53 tff(15632,plain,
% 19.93/13.53 (v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15631, 121, 15613])).
% 19.93/13.53 tff(15633,plain,
% 19.93/13.53 (v84(constB124, bitIndex2) | (~v84(constB125, bitIndex2))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15632, 15625])).
% 19.93/13.53 tff(15634,plain,
% 19.93/13.53 (~v84(constB125, bitIndex2)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15633, 15607])).
% 19.93/13.53 tff(15635,plain,
% 19.93/13.53 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB123)) | v124(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB123)) | v124(constB123, bitIndex1))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15636,plain,
% 19.93/13.53 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB123)) | v124(constB123, bitIndex1))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15637,plain,
% 19.93/13.53 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB123)) | v124(constB123, bitIndex1)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 19.93/13.53 tff(15638,plain,
% 19.93/13.53 (v124(constB123, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15637, 790, 15472])).
% 19.93/13.53 tff(15639,plain,
% 19.93/13.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15640,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15641,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15640, 15639])).
% 19.93/13.53 tff(15642,plain,
% 19.93/13.53 ((~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15641, 804, 15533])).
% 19.93/13.53 tff(15643,plain,
% 19.93/13.53 (v121(constB123, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15642, 15638])).
% 19.93/13.53 tff(15644,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15645,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15646,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15645, 15644])).
% 19.93/13.53 tff(15647,plain,
% 19.93/13.53 ((~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15646, 819, 15548])).
% 19.93/13.53 tff(15648,plain,
% 19.93/13.53 (v123(constB124, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15647, 15643])).
% 19.93/13.53 tff(15649,plain,
% 19.93/13.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15650,plain,
% 19.93/13.53 ((v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1))) <=> (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15651,plain,
% 19.93/13.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124))))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15650])).
% 19.93/13.53 tff(15652,plain,
% 19.93/13.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15651, 15649])).
% 19.93/13.53 tff(15653,plain,
% 19.93/13.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15654,plain,
% 19.93/13.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124))),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15653, 15652])).
% 19.93/13.53 tff(15655,plain,
% 19.93/13.53 (v84(constB124, bitIndex1) | (~v94(constB124))),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15654, 834, 15648])).
% 19.93/13.53 tff(15656,plain,
% 19.93/13.53 (v84(constB124, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15655, 15582])).
% 19.93/13.53 tff(15657,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15658,plain,
% 19.93/13.53 (((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1)) <=> ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15659,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1)))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15658])).
% 19.93/13.53 tff(15660,plain,
% 19.93/13.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15659, 15657])).
% 19.93/13.53 tff(15661,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15662,plain,
% 19.93/13.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1)),
% 19.93/13.53 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 19.93/13.53 tff(15663,plain,
% 19.93/13.53 ((~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15662, 852, 15613])).
% 19.93/13.53 tff(15664,plain,
% 19.93/13.53 ((~v84(constB124, bitIndex1)) | v84(constB125, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15663, 15625])).
% 19.93/13.53 tff(15665,plain,
% 19.93/13.53 (v84(constB125, bitIndex1)),
% 19.93/13.53 inference(unit_resolution,[status(thm)],[15664, 15656])).
% 19.93/13.53 tff(15666,plain,
% 19.93/13.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15667,plain,
% 19.93/13.53 ((v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0))) <=> ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 19.93/13.53 inference(rewrite,[status(thm)],[])).
% 19.93/13.53 tff(15668,plain,
% 19.93/13.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0)))),
% 19.93/13.53 inference(monotonicity,[status(thm)],[15667])).
% 19.93/13.53 tff(15669,plain,
% 19.93/13.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 19.93/13.53 inference(transitivity,[status(thm)],[15668, 15666])).
% 19.93/13.53 tff(15670,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))),
% 19.93/13.53 inference(quant_inst,[status(thm)],[])).
% 19.93/13.53 tff(15671,plain,
% 19.93/13.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0)),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15670, 15669])).
% 19.93/13.54 tff(15672,plain,
% 19.93/13.54 ((~v121(constB123, bitIndex0)) | v124(constB123, bitIndex0)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15671, 885, 15533])).
% 19.93/13.54 tff(15673,plain,
% 19.93/13.54 (~v121(constB123, bitIndex0)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15672, 15476])).
% 19.93/13.54 tff(15674,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15675,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15676,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15675, 15674])).
% 19.93/13.54 tff(15677,plain,
% 19.93/13.54 (v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15676, 903, 15548])).
% 19.93/13.54 tff(15678,plain,
% 19.93/13.54 (~v123(constB124, bitIndex0)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15677, 15673])).
% 19.93/13.54 tff(15679,plain,
% 19.93/13.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15680,plain,
% 19.93/13.54 (((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0)) <=> ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15681,plain,
% 19.93/13.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124))))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15680])).
% 19.93/13.54 tff(15682,plain,
% 19.93/13.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15681, 15679])).
% 19.93/13.54 tff(15683,plain,
% 19.93/13.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15684,plain,
% 19.93/13.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15683, 15682])).
% 19.93/13.54 tff(15685,plain,
% 19.93/13.54 ((~v84(constB124, bitIndex0)) | (~v94(constB124))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15684, 918, 15678])).
% 19.93/13.54 tff(15686,plain,
% 19.93/13.54 (~v84(constB124, bitIndex0)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15685, 15582])).
% 19.93/13.54 tff(15687,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15688,plain,
% 19.93/13.54 (((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0))) <=> (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15689,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0))))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15688])).
% 19.93/13.54 tff(15690,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15689, 15687])).
% 19.93/13.54 tff(15691,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15692,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15691, 15690])).
% 19.93/13.54 tff(15693,plain,
% 19.93/13.54 (v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15692, 163, 15613])).
% 19.93/13.54 tff(15694,plain,
% 19.93/13.54 (v84(constB124, bitIndex0) | (~v84(constB125, bitIndex0))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15693, 15625])).
% 19.93/13.54 tff(15695,plain,
% 19.93/13.54 (~v84(constB125, bitIndex0)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15694, 15686])).
% 19.93/13.54 tff(15696,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15697,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15698,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125)),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15697, 15696])).
% 19.93/13.54 tff(15699,plain,
% 19.93/13.54 (v115(constB125)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15698, 945, 15695, 15665, 15634])).
% 19.93/13.54 tff(15700,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB125) | (~v115(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15701,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB125) | (~v115(constB125)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15702,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB125) | (~v115(constB125))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15701, 15700])).
% 19.93/13.54 tff(15703,plain,
% 19.93/13.54 (v111(constB125)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15702, 956, 15699])).
% 19.93/13.54 tff(15704,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB125) | (~v111(constB125)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB125) | (~v111(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15705,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB125) | (~v111(constB125)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15706,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB125) | (~v111(constB125))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15705, 15704])).
% 19.93/13.54 tff(15707,plain,
% 19.93/13.54 (v110(constB125)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15706, 217, 15703])).
% 19.93/13.54 tff(15708,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB125) | (~v110(constB125)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB125) | (~v110(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15709,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB125) | (~v110(constB125)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15710,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB125) | (~v110(constB125))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 19.93/13.54 tff(15711,plain,
% 19.93/13.54 (v109(constB125)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15710, 228, 15707])).
% 19.93/13.54 tff(15712,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB125) | (~v109(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB125) | (~v109(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15713,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB125) | (~v109(constB125)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15714,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB125) | (~v109(constB125))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15713, 15712])).
% 19.93/13.54 tff(15715,plain,
% 19.93/13.54 (v108(constB125)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15714, 239, 15711])).
% 19.93/13.54 tff(15716,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB125) | (~v108(constB125)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB125) | (~v108(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15717,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB125) | (~v108(constB125)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15718,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB125) | (~v108(constB125))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 19.93/13.54 tff(15719,plain,
% 19.93/13.54 (v107(constB125)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15718, 250, 15715])).
% 19.93/13.54 tff(15720,assumption,(v26(constB125)), introduced(assumption)).
% 19.93/13.54 tff(15721,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15722,plain,
% 19.93/13.54 ($false),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15721, 18, 15720])).
% 19.93/13.54 tff(15723,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 19.93/13.54 tff(15724,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | v106(constB125) | (~v107(constB125)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15725,plain,
% 19.93/13.54 ((v26(constB125) | (~v107(constB125)) | v106(constB125)) <=> (v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15726,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | v106(constB125) | (~v107(constB125))))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15725])).
% 19.93/13.54 tff(15727,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15726, 15724])).
% 19.93/13.54 tff(15728,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15729,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 19.93/13.54 tff(15730,plain,
% 19.93/13.54 (v106(constB125) | (~v107(constB125))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15729, 264, 15723])).
% 19.93/13.54 tff(15731,plain,
% 19.93/13.54 (v106(constB125)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15730, 15719])).
% 19.93/13.54 tff(15732,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB125) | (~v106(constB125)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB125) | (~v106(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15733,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB125) | (~v106(constB125)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15734,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB125) | (~v106(constB125))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 19.93/13.54 tff(15735,plain,
% 19.93/13.54 (v102(constB125)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15734, 276, 15731])).
% 19.93/13.54 tff(15736,plain,
% 19.93/13.54 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15737,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 19.93/13.54 tff(15738,plain,
% 19.93/13.54 (nextState(constB125, constB126)),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 19.93/13.54 tff(15739,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15740,plain,
% 19.93/13.54 (((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15741,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15740])).
% 19.93/13.54 tff(15742,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15741, 15739])).
% 19.93/13.54 tff(15743,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15744,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 19.93/13.54 tff(15745,plain,
% 19.93/13.54 (v104(constB126) | (~v102(constB125))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15744, 293, 15738])).
% 19.93/13.54 tff(15746,plain,
% 19.93/13.54 (v104(constB126)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15745, 15735])).
% 19.93/13.54 tff(15747,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15748,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15749,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15748, 15747])).
% 19.93/13.54 tff(15750,plain,
% 19.93/13.54 (~v98(constB126)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15749, 311, 15738, 15610])).
% 19.93/13.54 tff(15751,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15752,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15753,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126)),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15752, 15751])).
% 19.93/13.54 tff(15754,plain,
% 19.93/13.54 (v96(constB126) | v98(constB126)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15753, 325, 15738])).
% 19.93/13.54 tff(15755,plain,
% 19.93/13.54 (v96(constB126)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15754, 15750])).
% 19.93/13.54 tff(15756,plain,
% 19.93/13.54 (v1(constB126) <=> v1(constB126)),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15757,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 19.93/13.54 tff(15758,plain,
% 19.93/13.54 (v1(constB126)),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 19.93/13.54 tff(15759,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15760,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15761,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15760, 15759])).
% 19.93/13.54 tff(15762,plain,
% 19.93/13.54 (v95(constB126) | (~v96(constB126))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15761, 343, 15738, 15758])).
% 19.93/13.54 tff(15763,plain,
% 19.93/13.54 (v95(constB126)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15762, 15755])).
% 19.93/13.54 tff(15764,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15765,plain,
% 19.93/13.54 (((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126)) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15766,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126))))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15765])).
% 19.93/13.54 tff(15767,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15766, 15764])).
% 19.93/13.54 tff(15768,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15769,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 19.93/13.54 tff(15770,plain,
% 19.93/13.54 (v94(constB126) | (~v95(constB126)) | (~v104(constB126))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15769, 358, 15738])).
% 19.93/13.54 tff(15771,plain,
% 19.93/13.54 (v94(constB126) | (~v104(constB126))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15770, 15763])).
% 19.93/13.54 tff(15772,plain,
% 19.93/13.54 (v94(constB126)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15771, 15746])).
% 19.93/13.54 tff(15773,plain,
% 19.93/13.54 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB125)) | (~v124(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB125)) | (~v124(constB125, bitIndex2)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15774,plain,
% 19.93/13.54 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB125)) | (~v124(constB125, bitIndex2)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15775,plain,
% 19.93/13.54 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB125)) | (~v124(constB125, bitIndex2))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 19.93/13.54 tff(15776,plain,
% 19.93/13.54 (~v124(constB125, bitIndex2)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15775, 1032, 15699])).
% 19.93/13.54 tff(15777,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15778,plain,
% 19.93/13.54 ((v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2))) <=> ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15779,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2)))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15778])).
% 19.93/13.54 tff(15780,plain,
% 19.93/13.54 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15779, 15777])).
% 19.93/13.54 tff(15781,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15782,plain,
% 19.93/13.54 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2)),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15781, 15780])).
% 19.93/13.54 tff(15783,plain,
% 19.93/13.54 ((~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15782, 391, 15723])).
% 19.93/13.54 tff(15784,plain,
% 19.93/13.54 (~v121(constB125, bitIndex2)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15783, 15776])).
% 19.93/13.54 tff(15785,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15786,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15787,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 19.93/13.54 tff(15788,plain,
% 19.93/13.54 (v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15787, 409, 15738])).
% 19.93/13.54 tff(15789,plain,
% 19.93/13.54 (~v123(constB126, bitIndex2)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15788, 15784])).
% 19.93/13.54 tff(15790,plain,
% 19.93/13.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15791,plain,
% 19.93/13.54 (((~v84(constB126, bitIndex2)) | (~v94(constB126)) | v123(constB126, bitIndex2)) <=> ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15792,plain,
% 19.93/13.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | (~v94(constB126)) | v123(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126))))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15791])).
% 19.93/13.54 tff(15793,plain,
% 19.93/13.54 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | (~v94(constB126)) | v123(constB126, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15792, 15790])).
% 19.93/13.54 tff(15794,plain,
% 19.93/13.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB126, bitIndex2)) | (~v94(constB126)) | v123(constB126, bitIndex2))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15795,plain,
% 19.93/13.54 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15794, 15793])).
% 19.93/13.54 tff(15796,plain,
% 19.93/13.54 ((~v84(constB126, bitIndex2)) | (~v94(constB126))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15795, 424, 15789])).
% 19.93/13.54 tff(15797,plain,
% 19.93/13.54 (~v84(constB126, bitIndex2)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15796, 15772])).
% 19.93/13.54 tff(15798,plain,
% 19.93/13.54 ((~v1(constB127)) <=> (~v1(constB127))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15799,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 19.93/13.54 tff(15800,plain,
% 19.93/13.54 (~v1(constB127)),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 19.93/13.54 tff(15801,plain,
% 19.93/13.54 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15802,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 19.93/13.54 tff(15803,plain,
% 19.93/13.54 (nextState(constB126, constB127)),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15802, 15801])).
% 19.93/13.54 tff(15804,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15805,plain,
% 19.93/13.54 (((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15806,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15805])).
% 19.93/13.54 tff(15807,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15806, 15804])).
% 19.93/13.54 tff(15808,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15809,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 19.93/13.54 tff(15810,plain,
% 19.93/13.54 (~v95(constB127)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15809, 89, 15803, 15800])).
% 19.93/13.54 tff(15811,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15812,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 19.93/13.54 inference(quant_inst,[status(thm)],[])).
% 19.93/13.54 tff(15813,plain,
% 19.93/13.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127))),
% 19.93/13.54 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 19.93/13.54 tff(15814,plain,
% 19.93/13.54 (v95(constB127) | (~v94(constB127))),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15813, 106, 15803])).
% 19.93/13.54 tff(15815,plain,
% 19.93/13.54 (~v94(constB127)),
% 19.93/13.54 inference(unit_resolution,[status(thm)],[15814, 15810])).
% 19.93/13.54 tff(15816,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15817,plain,
% 19.93/13.54 (((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2))) <=> (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 19.93/13.54 inference(rewrite,[status(thm)],[])).
% 19.93/13.54 tff(15818,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2))))),
% 19.93/13.54 inference(monotonicity,[status(thm)],[15817])).
% 19.93/13.54 tff(15819,plain,
% 19.93/13.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 19.93/13.54 inference(transitivity,[status(thm)],[15818, 15816])).
% 19.93/13.55 tff(15820,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15821,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15820, 15819])).
% 19.93/13.55 tff(15822,plain,
% 19.93/13.55 (v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2))),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15821, 121, 15803])).
% 19.93/13.55 tff(15823,plain,
% 19.93/13.55 (v84(constB126, bitIndex2) | (~v84(constB127, bitIndex2))),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15822, 15815])).
% 19.93/13.55 tff(15824,plain,
% 19.93/13.55 (~v84(constB127, bitIndex2)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15823, 15797])).
% 19.93/13.55 tff(15825,plain,
% 19.93/13.55 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB125)) | v124(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB125)) | v124(constB125, bitIndex1))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15826,plain,
% 19.93/13.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB125)) | v124(constB125, bitIndex1))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15827,plain,
% 19.93/13.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB125)) | v124(constB125, bitIndex1)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15826, 15825])).
% 19.93/13.55 tff(15828,plain,
% 19.93/13.55 (v124(constB125, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15827, 1094, 15699])).
% 19.93/13.55 tff(15829,plain,
% 19.93/13.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB125) | (~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB125) | (~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15830,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB125) | (~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15831,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB125) | (~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15830, 15829])).
% 19.93/13.55 tff(15832,plain,
% 19.93/13.55 ((~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15831, 804, 15723])).
% 19.93/13.55 tff(15833,plain,
% 19.93/13.55 (v121(constB125, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15832, 15828])).
% 19.93/13.55 tff(15834,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15835,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15836,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 19.93/13.55 tff(15837,plain,
% 19.93/13.55 ((~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15836, 819, 15738])).
% 19.93/13.55 tff(15838,plain,
% 19.93/13.55 (v123(constB126, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15837, 15833])).
% 19.93/13.55 tff(15839,plain,
% 19.93/13.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15840,plain,
% 19.93/13.55 ((v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1))) <=> (v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15841,plain,
% 19.93/13.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126))))),
% 19.93/13.55 inference(monotonicity,[status(thm)],[15840])).
% 19.93/13.55 tff(15842,plain,
% 19.93/13.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126)))),
% 19.93/13.55 inference(transitivity,[status(thm)],[15841, 15839])).
% 19.93/13.55 tff(15843,plain,
% 19.93/13.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15844,plain,
% 19.93/13.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 19.93/13.55 tff(15845,plain,
% 19.93/13.55 (v84(constB126, bitIndex1) | (~v94(constB126))),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15844, 834, 15838])).
% 19.93/13.55 tff(15846,plain,
% 19.93/13.55 (v84(constB126, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15845, 15772])).
% 19.93/13.55 tff(15847,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15848,plain,
% 19.93/13.55 (((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1)) <=> ((~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15849,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1)))),
% 19.93/13.55 inference(monotonicity,[status(thm)],[15848])).
% 19.93/13.55 tff(15850,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1))),
% 19.93/13.55 inference(transitivity,[status(thm)],[15849, 15847])).
% 19.93/13.55 tff(15851,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15852,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 19.93/13.55 tff(15853,plain,
% 19.93/13.55 ((~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15852, 852, 15803])).
% 19.93/13.55 tff(15854,plain,
% 19.93/13.55 ((~v84(constB126, bitIndex1)) | v84(constB127, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15853, 15815])).
% 19.93/13.55 tff(15855,plain,
% 19.93/13.55 (v84(constB127, bitIndex1)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15854, 15846])).
% 19.93/13.55 tff(15856,plain,
% 19.93/13.55 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB125)) | v124(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB125)) | v124(constB125, bitIndex0))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15857,plain,
% 19.93/13.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB125)) | v124(constB125, bitIndex0))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15858,plain,
% 19.93/13.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB125)) | v124(constB125, bitIndex0)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 19.93/13.55 tff(15859,plain,
% 19.93/13.55 (v124(constB125, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15858, 1135, 15699])).
% 19.93/13.55 tff(15860,plain,
% 19.93/13.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15861,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15862,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15861, 15860])).
% 19.93/13.55 tff(15863,plain,
% 19.93/13.55 ((~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15862, 557, 15723])).
% 19.93/13.55 tff(15864,plain,
% 19.93/13.55 (v121(constB125, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15863, 15859])).
% 19.93/13.55 tff(15865,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15866,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15867,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15866, 15865])).
% 19.93/13.55 tff(15868,plain,
% 19.93/13.55 ((~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15867, 572, 15738])).
% 19.93/13.55 tff(15869,plain,
% 19.93/13.55 (v123(constB126, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15868, 15864])).
% 19.93/13.55 tff(15870,plain,
% 19.93/13.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15871,plain,
% 19.93/13.55 ((v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0))) <=> (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15872,plain,
% 19.93/13.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126))))),
% 19.93/13.55 inference(monotonicity,[status(thm)],[15871])).
% 19.93/13.55 tff(15873,plain,
% 19.93/13.55 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 19.93/13.55 inference(transitivity,[status(thm)],[15872, 15870])).
% 19.93/13.55 tff(15874,plain,
% 19.93/13.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15875,plain,
% 19.93/13.55 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 19.93/13.55 tff(15876,plain,
% 19.93/13.55 (v84(constB126, bitIndex0) | (~v94(constB126))),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15875, 587, 15869])).
% 19.93/13.55 tff(15877,plain,
% 19.93/13.55 (v84(constB126, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15876, 15772])).
% 19.93/13.55 tff(15878,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15879,plain,
% 19.93/13.55 (((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0)) <=> ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15880,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0)))),
% 19.93/13.55 inference(monotonicity,[status(thm)],[15879])).
% 19.93/13.55 tff(15881,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 19.93/13.55 inference(transitivity,[status(thm)],[15880, 15878])).
% 19.93/13.55 tff(15882,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15883,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15882, 15881])).
% 19.93/13.55 tff(15884,plain,
% 19.93/13.55 ((~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15883, 605, 15803])).
% 19.93/13.55 tff(15885,plain,
% 19.93/13.55 ((~v84(constB126, bitIndex0)) | v84(constB127, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15884, 15815])).
% 19.93/13.55 tff(15886,plain,
% 19.93/13.55 (v84(constB127, bitIndex0)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15885, 15877])).
% 19.93/13.55 tff(15887,plain,
% 19.93/13.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15888,plain,
% 19.93/13.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15889,plain,
% 19.93/13.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15888, 15887])).
% 19.93/13.55 tff(15890,plain,
% 19.93/13.55 (v116(constB127)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15889, 1176, 15886, 15855, 15824])).
% 19.93/13.55 tff(15891,plain,
% 19.93/13.55 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB127) | (~v116(constB127)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15892,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB127) | (~v116(constB127)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15893,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB127) | (~v116(constB127))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 19.93/13.55 tff(15894,plain,
% 19.93/13.55 (v110(constB127)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15893, 1187, 15890])).
% 19.93/13.55 tff(15895,plain,
% 19.93/13.55 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB127) | (~v110(constB127)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB127) | (~v110(constB127)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15896,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB127) | (~v110(constB127)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15897,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB127) | (~v110(constB127))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15896, 15895])).
% 19.93/13.55 tff(15898,plain,
% 19.93/13.55 (v109(constB127)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15897, 228, 15894])).
% 19.93/13.55 tff(15899,plain,
% 19.93/13.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB127) | (~v109(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB127) | (~v109(constB127)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15900,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB127) | (~v109(constB127)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15901,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB127) | (~v109(constB127))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 19.93/13.55 tff(15902,plain,
% 19.93/13.55 (v108(constB127)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15901, 239, 15898])).
% 19.93/13.55 tff(15903,plain,
% 19.93/13.55 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB127) | (~v108(constB127)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB127) | (~v108(constB127)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15904,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB127) | (~v108(constB127)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15905,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB127) | (~v108(constB127))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15904, 15903])).
% 19.93/13.55 tff(15906,plain,
% 19.93/13.55 (v107(constB127)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15905, 250, 15902])).
% 19.93/13.55 tff(15907,assumption,(v26(constB127)), introduced(assumption)).
% 19.93/13.55 tff(15908,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15909,plain,
% 19.93/13.55 ($false),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15908, 18, 15907])).
% 19.93/13.55 tff(15910,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 19.93/13.55 tff(15911,plain,
% 19.93/13.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | (~v107(constB127)) | v106(constB127))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15912,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15913,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | (~v107(constB127)) | v106(constB127)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 19.93/13.55 tff(15914,plain,
% 19.93/13.55 ((~v107(constB127)) | v106(constB127)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15913, 264, 15910])).
% 19.93/13.55 tff(15915,plain,
% 19.93/13.55 (v106(constB127)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15914, 15906])).
% 19.93/13.55 tff(15916,plain,
% 19.93/13.55 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB127) | (~v106(constB127)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB127) | (~v106(constB127)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15917,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB127) | (~v106(constB127)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15918,plain,
% 19.93/13.55 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB127) | (~v106(constB127))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15917, 15916])).
% 19.93/13.55 tff(15919,plain,
% 19.93/13.55 (v102(constB127)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15918, 276, 15915])).
% 19.93/13.55 tff(15920,plain,
% 19.93/13.55 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15921,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 19.93/13.55 tff(15922,plain,
% 19.93/13.55 (nextState(constB127, constB128)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15921, 15920])).
% 19.93/13.55 tff(15923,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15924,plain,
% 19.93/13.55 (((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128)) <=> ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15925,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127))))),
% 19.93/13.55 inference(monotonicity,[status(thm)],[15924])).
% 19.93/13.55 tff(15926,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 19.93/13.55 inference(transitivity,[status(thm)],[15925, 15923])).
% 19.93/13.55 tff(15927,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15928,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15927, 15926])).
% 19.93/13.55 tff(15929,plain,
% 19.93/13.55 (v104(constB128) | (~v102(constB127))),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15928, 293, 15922])).
% 19.93/13.55 tff(15930,plain,
% 19.93/13.55 (v104(constB128)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15929, 15919])).
% 19.93/13.55 tff(15931,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15932,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15933,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 19.93/13.55 tff(15934,plain,
% 19.93/13.55 (~v98(constB128)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15933, 311, 15922, 15800])).
% 19.93/13.55 tff(15935,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15936,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15937,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB127, constB128)) | v96(constB128) | v98(constB128)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 19.93/13.55 tff(15938,plain,
% 19.93/13.55 (v96(constB128) | v98(constB128)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15937, 325, 15922])).
% 19.93/13.55 tff(15939,plain,
% 19.93/13.55 (v96(constB128)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15938, 15934])).
% 19.93/13.55 tff(15940,plain,
% 19.93/13.55 (v1(constB128) <=> v1(constB128)),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15941,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 19.93/13.55 tff(15942,plain,
% 19.93/13.55 (v1(constB128)),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15941, 15940])).
% 19.93/13.55 tff(15943,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15944,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))),
% 19.93/13.55 inference(quant_inst,[status(thm)],[])).
% 19.93/13.55 tff(15945,plain,
% 19.93/13.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128))),
% 19.93/13.55 inference(modus_ponens,[status(thm)],[15944, 15943])).
% 19.93/13.55 tff(15946,plain,
% 19.93/13.55 (v95(constB128) | (~v96(constB128))),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15945, 343, 15922, 15942])).
% 19.93/13.55 tff(15947,plain,
% 19.93/13.55 (v95(constB128)),
% 19.93/13.55 inference(unit_resolution,[status(thm)],[15946, 15939])).
% 19.93/13.55 tff(15948,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15949,plain,
% 19.93/13.55 (((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128)) <=> ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 19.93/13.55 inference(rewrite,[status(thm)],[])).
% 19.93/13.55 tff(15950,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128))))),
% 19.93/13.55 inference(monotonicity,[status(thm)],[15949])).
% 19.93/13.55 tff(15951,plain,
% 19.93/13.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 19.93/13.56 inference(transitivity,[status(thm)],[15950, 15948])).
% 19.93/13.56 tff(15952,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(15953,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 19.93/13.56 tff(15954,plain,
% 19.93/13.56 (v94(constB128) | (~v95(constB128)) | (~v104(constB128))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15953, 358, 15922])).
% 19.93/13.56 tff(15955,plain,
% 19.93/13.56 (v94(constB128) | (~v104(constB128))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15954, 15947])).
% 19.93/13.56 tff(15956,plain,
% 19.93/13.56 (v94(constB128)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15955, 15930])).
% 19.93/13.56 tff(15957,plain,
% 19.93/13.56 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB127)) | v124(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB127)) | v124(constB127, bitIndex2))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15958,plain,
% 19.93/13.56 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB127)) | v124(constB127, bitIndex2))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(15959,plain,
% 19.93/13.56 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB127)) | v124(constB127, bitIndex2)),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 19.93/13.56 tff(15960,plain,
% 19.93/13.56 (v124(constB127, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15959, 1259, 15890])).
% 19.93/13.56 tff(15961,plain,
% 19.93/13.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB127) | (~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB127) | (~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15962,plain,
% 19.93/13.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB127) | (~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(15963,plain,
% 19.93/13.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB127) | (~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2)),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15962, 15961])).
% 19.93/13.56 tff(15964,plain,
% 19.93/13.56 ((~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15963, 1273, 15910])).
% 19.93/13.56 tff(15965,plain,
% 19.93/13.56 (v121(constB127, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15964, 15960])).
% 19.93/13.56 tff(15966,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15967,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(15968,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2)),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15967, 15966])).
% 19.93/13.56 tff(15969,plain,
% 19.93/13.56 ((~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15968, 1288, 15922])).
% 19.93/13.56 tff(15970,plain,
% 19.93/13.56 (v123(constB128, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15969, 15965])).
% 19.93/13.56 tff(15971,plain,
% 19.93/13.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15972,plain,
% 19.93/13.56 ((v84(constB128, bitIndex2) | (~v94(constB128)) | (~v123(constB128, bitIndex2))) <=> (v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15973,plain,
% 19.93/13.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v94(constB128)) | (~v123(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128))))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[15972])).
% 19.93/13.56 tff(15974,plain,
% 19.93/13.56 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v94(constB128)) | (~v123(constB128, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128)))),
% 19.93/13.56 inference(transitivity,[status(thm)],[15973, 15971])).
% 19.93/13.56 tff(15975,plain,
% 19.93/13.56 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v94(constB128)) | (~v123(constB128, bitIndex2)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(15976,plain,
% 19.93/13.56 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15975, 15974])).
% 19.93/13.56 tff(15977,plain,
% 19.93/13.56 (v84(constB128, bitIndex2) | (~v94(constB128))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15976, 1303, 15970])).
% 19.93/13.56 tff(15978,plain,
% 19.93/13.56 (v84(constB128, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15977, 15956])).
% 19.93/13.56 tff(15979,plain,
% 19.93/13.56 ((~v1(constB129)) <=> (~v1(constB129))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15980,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 19.93/13.56 tff(15981,plain,
% 19.93/13.56 (~v1(constB129)),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 19.93/13.56 tff(15982,plain,
% 19.93/13.56 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15983,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 19.93/13.56 tff(15984,plain,
% 19.93/13.56 (nextState(constB128, constB129)),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15983, 15982])).
% 19.93/13.56 tff(15985,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15986,plain,
% 19.93/13.56 (((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15987,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[15986])).
% 19.93/13.56 tff(15988,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 19.93/13.56 inference(transitivity,[status(thm)],[15987, 15985])).
% 19.93/13.56 tff(15989,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(15990,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 19.93/13.56 tff(15991,plain,
% 19.93/13.56 (~v95(constB129)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15990, 89, 15984, 15981])).
% 19.93/13.56 tff(15992,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15993,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(15994,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[15993, 15992])).
% 19.93/13.56 tff(15995,plain,
% 19.93/13.56 (v95(constB129) | (~v94(constB129))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15994, 106, 15984])).
% 19.93/13.56 tff(15996,plain,
% 19.93/13.56 (~v94(constB129)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[15995, 15991])).
% 19.93/13.56 tff(15997,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15998,plain,
% 19.93/13.56 (((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2)) <=> ((~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(15999,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2)))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[15998])).
% 19.93/13.56 tff(16000,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2))),
% 19.93/13.56 inference(transitivity,[status(thm)],[15999, 15997])).
% 19.93/13.56 tff(16001,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16002,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2)),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16001, 16000])).
% 19.93/13.56 tff(16003,plain,
% 19.93/13.56 ((~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16002, 1339, 15984])).
% 19.93/13.56 tff(16004,plain,
% 19.93/13.56 ((~v84(constB128, bitIndex2)) | v84(constB129, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16003, 15996])).
% 19.93/13.56 tff(16005,plain,
% 19.93/13.56 (v84(constB129, bitIndex2)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16004, 15978])).
% 19.93/13.56 tff(16006,plain,
% 19.93/13.56 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB127)) | (~v124(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB127)) | (~v124(constB127, bitIndex1)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16007,plain,
% 19.93/13.56 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB127)) | (~v124(constB127, bitIndex1)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16008,plain,
% 19.93/13.56 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB127)) | (~v124(constB127, bitIndex1))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16007, 16006])).
% 19.93/13.56 tff(16009,plain,
% 19.93/13.56 (~v124(constB127, bitIndex1)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16008, 1358, 15890])).
% 19.93/13.56 tff(16010,plain,
% 19.93/13.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16011,plain,
% 19.93/13.56 ((v26(constB127) | v124(constB127, bitIndex1) | (~v121(constB127, bitIndex1))) <=> ((~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16012,plain,
% 19.93/13.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB127) | v124(constB127, bitIndex1) | (~v121(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1)))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[16011])).
% 19.93/13.56 tff(16013,plain,
% 19.93/13.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB127) | v124(constB127, bitIndex1) | (~v121(constB127, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1))),
% 19.93/13.56 inference(transitivity,[status(thm)],[16012, 16010])).
% 19.93/13.56 tff(16014,plain,
% 19.93/13.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB127) | v124(constB127, bitIndex1) | (~v121(constB127, bitIndex1)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16015,plain,
% 19.93/13.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1)),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16014, 16013])).
% 19.93/13.56 tff(16016,plain,
% 19.93/13.56 ((~v121(constB127, bitIndex1)) | v124(constB127, bitIndex1)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16015, 483, 15910])).
% 19.93/13.56 tff(16017,plain,
% 19.93/13.56 (~v121(constB127, bitIndex1)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16016, 16009])).
% 19.93/13.56 tff(16018,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16019,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16020,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 19.93/13.56 tff(16021,plain,
% 19.93/13.56 (v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16020, 501, 15922])).
% 19.93/13.56 tff(16022,plain,
% 19.93/13.56 (~v123(constB128, bitIndex1)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16021, 16017])).
% 19.93/13.56 tff(16023,plain,
% 19.93/13.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16024,plain,
% 19.93/13.56 (((~v84(constB128, bitIndex1)) | (~v94(constB128)) | v123(constB128, bitIndex1)) <=> ((~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16025,plain,
% 19.93/13.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~v94(constB128)) | v123(constB128, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128))))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[16024])).
% 19.93/13.56 tff(16026,plain,
% 19.93/13.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~v94(constB128)) | v123(constB128, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128)))),
% 19.93/13.56 inference(transitivity,[status(thm)],[16025, 16023])).
% 19.93/13.56 tff(16027,plain,
% 19.93/13.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~v94(constB128)) | v123(constB128, bitIndex1))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16028,plain,
% 19.93/13.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 19.93/13.56 tff(16029,plain,
% 19.93/13.56 ((~v84(constB128, bitIndex1)) | (~v94(constB128))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16028, 516, 16022])).
% 19.93/13.56 tff(16030,plain,
% 19.93/13.56 (~v84(constB128, bitIndex1)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16029, 15956])).
% 19.93/13.56 tff(16031,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16032,plain,
% 19.93/13.56 (((~nextState(constB128, constB129)) | v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1))) <=> (v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16033,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1))))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[16032])).
% 19.93/13.56 tff(16034,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1)))),
% 19.93/13.56 inference(transitivity,[status(thm)],[16033, 16031])).
% 19.93/13.56 tff(16035,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16036,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16035, 16034])).
% 19.93/13.56 tff(16037,plain,
% 19.93/13.56 (v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16036, 142, 15984])).
% 19.93/13.56 tff(16038,plain,
% 19.93/13.56 (v84(constB128, bitIndex1) | (~v84(constB129, bitIndex1))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16037, 15996])).
% 19.93/13.56 tff(16039,plain,
% 19.93/13.56 (~v84(constB129, bitIndex1)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16038, 16030])).
% 19.93/13.56 tff(16040,plain,
% 19.93/13.56 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB127)) | (~v124(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB127)) | (~v124(constB127, bitIndex0)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16041,plain,
% 19.93/13.56 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB127)) | (~v124(constB127, bitIndex0)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16042,plain,
% 19.93/13.56 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB127)) | (~v124(constB127, bitIndex0))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16041, 16040])).
% 19.93/13.56 tff(16043,plain,
% 19.93/13.56 (~v124(constB127, bitIndex0)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16042, 1402, 15890])).
% 19.93/13.56 tff(16044,plain,
% 19.93/13.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16045,plain,
% 19.93/13.56 ((v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0))) <=> ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16046,plain,
% 19.93/13.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0)))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[16045])).
% 19.93/13.56 tff(16047,plain,
% 19.93/13.56 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 19.93/13.56 inference(transitivity,[status(thm)],[16046, 16044])).
% 19.93/13.56 tff(16048,plain,
% 19.93/13.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16049,plain,
% 19.93/13.56 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0)),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16048, 16047])).
% 19.93/13.56 tff(16050,plain,
% 19.93/13.56 ((~v121(constB127, bitIndex0)) | v124(constB127, bitIndex0)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16049, 885, 15910])).
% 19.93/13.56 tff(16051,plain,
% 19.93/13.56 (~v121(constB127, bitIndex0)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16050, 16043])).
% 19.93/13.56 tff(16052,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16053,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16054,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 19.93/13.56 tff(16055,plain,
% 19.93/13.56 (v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16054, 903, 15922])).
% 19.93/13.56 tff(16056,plain,
% 19.93/13.56 (~v123(constB128, bitIndex0)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16055, 16051])).
% 19.93/13.56 tff(16057,plain,
% 19.93/13.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16058,plain,
% 19.93/13.56 (((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0)) <=> ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16059,plain,
% 19.93/13.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128))))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[16058])).
% 19.93/13.56 tff(16060,plain,
% 19.93/13.56 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 19.93/13.56 inference(transitivity,[status(thm)],[16059, 16057])).
% 19.93/13.56 tff(16061,plain,
% 19.93/13.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))),
% 19.93/13.56 inference(quant_inst,[status(thm)],[])).
% 19.93/13.56 tff(16062,plain,
% 19.93/13.56 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128))),
% 19.93/13.56 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 19.93/13.56 tff(16063,plain,
% 19.93/13.56 ((~v84(constB128, bitIndex0)) | (~v94(constB128))),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16062, 918, 16056])).
% 19.93/13.56 tff(16064,plain,
% 19.93/13.56 (~v84(constB128, bitIndex0)),
% 19.93/13.56 inference(unit_resolution,[status(thm)],[16063, 15956])).
% 19.93/13.56 tff(16065,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16066,plain,
% 19.93/13.56 (((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0))) <=> (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 19.93/13.56 inference(rewrite,[status(thm)],[])).
% 19.93/13.56 tff(16067,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0))))),
% 19.93/13.56 inference(monotonicity,[status(thm)],[16066])).
% 19.93/13.56 tff(16068,plain,
% 19.93/13.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 19.93/13.56 inference(transitivity,[status(thm)],[16067, 16065])).
% 19.93/13.56 tff(16069,plain,
% 19.93/13.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16070,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16069, 16068])).
% 19.93/13.57 tff(16071,plain,
% 19.93/13.57 (v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16070, 163, 15984])).
% 19.93/13.57 tff(16072,plain,
% 19.93/13.57 (v84(constB128, bitIndex0) | (~v84(constB129, bitIndex0))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16071, 15996])).
% 19.93/13.57 tff(16073,plain,
% 19.93/13.57 (~v84(constB129, bitIndex0)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16072, 16064])).
% 19.93/13.57 tff(16074,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16075,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16076,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16075, 16074])).
% 19.93/13.57 tff(16077,plain,
% 19.93/13.57 (v172(constB129)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16076, 1446, 16073, 16039, 16005])).
% 19.93/13.57 tff(16078,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB129) | (~v172(constB129)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB129) | (~v172(constB129)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16079,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB129) | (~v172(constB129)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16080,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB129) | (~v172(constB129))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16079, 16078])).
% 19.93/13.57 tff(16081,plain,
% 19.93/13.57 (v109(constB129)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16080, 1457, 16077])).
% 19.93/13.57 tff(16082,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB129) | (~v109(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB129) | (~v109(constB129)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16083,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB129) | (~v109(constB129)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16084,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB129) | (~v109(constB129))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16083, 16082])).
% 19.93/13.57 tff(16085,plain,
% 19.93/13.57 (v108(constB129)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16084, 239, 16081])).
% 19.93/13.57 tff(16086,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB129) | (~v108(constB129)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB129) | (~v108(constB129)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16087,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB129) | (~v108(constB129)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16088,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB129) | (~v108(constB129))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16087, 16086])).
% 19.93/13.57 tff(16089,plain,
% 19.93/13.57 (v107(constB129)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16088, 250, 16085])).
% 19.93/13.57 tff(16090,assumption,(v26(constB129)), introduced(assumption)).
% 19.93/13.57 tff(16091,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16092,plain,
% 19.93/13.57 ($false),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16091, 18, 16090])).
% 19.93/13.57 tff(16093,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 19.93/13.57 tff(16094,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | (~v107(constB129)) | v106(constB129))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16095,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16096,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | (~v107(constB129)) | v106(constB129)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16095, 16094])).
% 19.93/13.57 tff(16097,plain,
% 19.93/13.57 ((~v107(constB129)) | v106(constB129)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16096, 264, 16093])).
% 19.93/13.57 tff(16098,plain,
% 19.93/13.57 (v106(constB129)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16097, 16089])).
% 19.93/13.57 tff(16099,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB129) | (~v106(constB129)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB129) | (~v106(constB129)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16100,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB129) | (~v106(constB129)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16101,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB129) | (~v106(constB129))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 19.93/13.57 tff(16102,plain,
% 19.93/13.57 (v102(constB129)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16101, 276, 16098])).
% 19.93/13.57 tff(16103,plain,
% 19.93/13.57 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16104,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 19.93/13.57 tff(16105,plain,
% 19.93/13.57 (nextState(constB129, constB130)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16104, 16103])).
% 19.93/13.57 tff(16106,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16107,plain,
% 19.93/13.57 (((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16108,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))))),
% 19.93/13.57 inference(monotonicity,[status(thm)],[16107])).
% 19.93/13.57 tff(16109,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 19.93/13.57 inference(transitivity,[status(thm)],[16108, 16106])).
% 19.93/13.57 tff(16110,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16111,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 19.93/13.57 tff(16112,plain,
% 19.93/13.57 (v104(constB130) | (~v102(constB129))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16111, 293, 16105])).
% 19.93/13.57 tff(16113,plain,
% 19.93/13.57 (v104(constB130)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16112, 16102])).
% 19.93/13.57 tff(16114,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16115,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16116,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16115, 16114])).
% 19.93/13.57 tff(16117,plain,
% 19.93/13.57 (~v98(constB130)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16116, 311, 16105, 15981])).
% 19.93/13.57 tff(16118,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16119,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16120,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16119, 16118])).
% 19.93/13.57 tff(16121,plain,
% 19.93/13.57 (v96(constB130) | v98(constB130)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16120, 325, 16105])).
% 19.93/13.57 tff(16122,plain,
% 19.93/13.57 (v96(constB130)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16121, 16117])).
% 19.93/13.57 tff(16123,plain,
% 19.93/13.57 (v1(constB130) <=> v1(constB130)),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16124,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 19.93/13.57 tff(16125,plain,
% 19.93/13.57 (v1(constB130)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16124, 16123])).
% 19.93/13.57 tff(16126,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16127,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16128,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16127, 16126])).
% 19.93/13.57 tff(16129,plain,
% 19.93/13.57 (v95(constB130) | (~v96(constB130))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16128, 343, 16105, 16125])).
% 19.93/13.57 tff(16130,plain,
% 19.93/13.57 (v95(constB130)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16129, 16122])).
% 19.93/13.57 tff(16131,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16132,plain,
% 19.93/13.57 (((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130)) <=> ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16133,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130))))),
% 19.93/13.57 inference(monotonicity,[status(thm)],[16132])).
% 19.93/13.57 tff(16134,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 19.93/13.57 inference(transitivity,[status(thm)],[16133, 16131])).
% 19.93/13.57 tff(16135,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16136,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16135, 16134])).
% 19.93/13.57 tff(16137,plain,
% 19.93/13.57 (v94(constB130) | (~v95(constB130)) | (~v104(constB130))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16136, 358, 16105])).
% 19.93/13.57 tff(16138,plain,
% 19.93/13.57 (v94(constB130) | (~v104(constB130))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16137, 16130])).
% 19.93/13.57 tff(16139,plain,
% 19.93/13.57 (v94(constB130)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16138, 16113])).
% 19.93/13.57 tff(16140,plain,
% 19.93/13.57 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB129)) | v124(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB129)) | v124(constB129, bitIndex2))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16141,plain,
% 19.93/13.57 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB129)) | v124(constB129, bitIndex2))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16142,plain,
% 19.93/13.57 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB129)) | v124(constB129, bitIndex2)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16141, 16140])).
% 19.93/13.57 tff(16143,plain,
% 19.93/13.57 (v124(constB129, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16142, 1528, 16077])).
% 19.93/13.57 tff(16144,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB129) | (~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB129) | (~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16145,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB129) | (~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16146,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB129) | (~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16145, 16144])).
% 19.93/13.57 tff(16147,plain,
% 19.93/13.57 ((~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16146, 1273, 16093])).
% 19.93/13.57 tff(16148,plain,
% 19.93/13.57 (v121(constB129, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16147, 16143])).
% 19.93/13.57 tff(16149,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16150,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16151,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 19.93/13.57 tff(16152,plain,
% 19.93/13.57 ((~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16151, 1288, 16105])).
% 19.93/13.57 tff(16153,plain,
% 19.93/13.57 (v123(constB130, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16152, 16148])).
% 19.93/13.57 tff(16154,plain,
% 19.93/13.57 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16155,plain,
% 19.93/13.57 ((v84(constB130, bitIndex2) | (~v94(constB130)) | (~v123(constB130, bitIndex2))) <=> (v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16156,plain,
% 19.93/13.57 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v94(constB130)) | (~v123(constB130, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130))))),
% 19.93/13.57 inference(monotonicity,[status(thm)],[16155])).
% 19.93/13.57 tff(16157,plain,
% 19.93/13.57 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v94(constB130)) | (~v123(constB130, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130)))),
% 19.93/13.57 inference(transitivity,[status(thm)],[16156, 16154])).
% 19.93/13.57 tff(16158,plain,
% 19.93/13.57 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v94(constB130)) | (~v123(constB130, bitIndex2)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16159,plain,
% 19.93/13.57 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 19.93/13.57 tff(16160,plain,
% 19.93/13.57 (v84(constB130, bitIndex2) | (~v94(constB130))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16159, 1303, 16153])).
% 19.93/13.57 tff(16161,plain,
% 19.93/13.57 (v84(constB130, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16160, 16139])).
% 19.93/13.57 tff(16162,plain,
% 19.93/13.57 ((~v1(constB131)) <=> (~v1(constB131))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16163,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 19.93/13.57 tff(16164,plain,
% 19.93/13.57 (~v1(constB131)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16163, 16162])).
% 19.93/13.57 tff(16165,plain,
% 19.93/13.57 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16166,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 19.93/13.57 tff(16167,plain,
% 19.93/13.57 (nextState(constB130, constB131)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 19.93/13.57 tff(16168,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16169,plain,
% 19.93/13.57 (((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16170,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))))),
% 19.93/13.57 inference(monotonicity,[status(thm)],[16169])).
% 19.93/13.57 tff(16171,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 19.93/13.57 inference(transitivity,[status(thm)],[16170, 16168])).
% 19.93/13.57 tff(16172,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16173,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16172, 16171])).
% 19.93/13.57 tff(16174,plain,
% 19.93/13.57 (~v95(constB131)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16173, 89, 16167, 16164])).
% 19.93/13.57 tff(16175,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16176,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16177,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 19.93/13.57 tff(16178,plain,
% 19.93/13.57 (v95(constB131) | (~v94(constB131))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16177, 106, 16167])).
% 19.93/13.57 tff(16179,plain,
% 19.93/13.57 (~v94(constB131)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16178, 16174])).
% 19.93/13.57 tff(16180,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16181,plain,
% 19.93/13.57 (((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2)) <=> ((~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16182,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2)))),
% 19.93/13.57 inference(monotonicity,[status(thm)],[16181])).
% 19.93/13.57 tff(16183,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2))),
% 19.93/13.57 inference(transitivity,[status(thm)],[16182, 16180])).
% 19.93/13.57 tff(16184,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16185,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16184, 16183])).
% 19.93/13.57 tff(16186,plain,
% 19.93/13.57 ((~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16185, 1339, 16167])).
% 19.93/13.57 tff(16187,plain,
% 19.93/13.57 ((~v84(constB130, bitIndex2)) | v84(constB131, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16186, 16179])).
% 19.93/13.57 tff(16188,plain,
% 19.93/13.57 (v84(constB131, bitIndex2)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16187, 16161])).
% 19.93/13.57 tff(16189,plain,
% 19.93/13.57 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB129)) | (~v124(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB129)) | (~v124(constB129, bitIndex1)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16190,plain,
% 19.93/13.57 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB129)) | (~v124(constB129, bitIndex1)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16191,plain,
% 19.93/13.57 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB129)) | (~v124(constB129, bitIndex1))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16190, 16189])).
% 19.93/13.57 tff(16192,plain,
% 19.93/13.57 (~v124(constB129, bitIndex1)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16191, 1587, 16077])).
% 19.93/13.57 tff(16193,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16194,plain,
% 19.93/13.57 ((v26(constB129) | v124(constB129, bitIndex1) | (~v121(constB129, bitIndex1))) <=> ((~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16195,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB129) | v124(constB129, bitIndex1) | (~v121(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1)))),
% 19.93/13.57 inference(monotonicity,[status(thm)],[16194])).
% 19.93/13.57 tff(16196,plain,
% 19.93/13.57 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB129) | v124(constB129, bitIndex1) | (~v121(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1))),
% 19.93/13.57 inference(transitivity,[status(thm)],[16195, 16193])).
% 19.93/13.57 tff(16197,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB129) | v124(constB129, bitIndex1) | (~v121(constB129, bitIndex1)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16198,plain,
% 19.93/13.57 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1)),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16197, 16196])).
% 19.93/13.57 tff(16199,plain,
% 19.93/13.57 ((~v121(constB129, bitIndex1)) | v124(constB129, bitIndex1)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16198, 483, 16093])).
% 19.93/13.57 tff(16200,plain,
% 19.93/13.57 (~v121(constB129, bitIndex1)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16199, 16192])).
% 19.93/13.57 tff(16201,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16202,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1)))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16203,plain,
% 19.93/13.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16202, 16201])).
% 19.93/13.57 tff(16204,plain,
% 19.93/13.57 (v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16203, 501, 16105])).
% 19.93/13.57 tff(16205,plain,
% 19.93/13.57 (~v123(constB130, bitIndex1)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16204, 16200])).
% 19.93/13.57 tff(16206,plain,
% 19.93/13.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16207,plain,
% 19.93/13.57 (((~v84(constB130, bitIndex1)) | (~v94(constB130)) | v123(constB130, bitIndex1)) <=> ((~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16208,plain,
% 19.93/13.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~v94(constB130)) | v123(constB130, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130))))),
% 19.93/13.57 inference(monotonicity,[status(thm)],[16207])).
% 19.93/13.57 tff(16209,plain,
% 19.93/13.57 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~v94(constB130)) | v123(constB130, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130)))),
% 19.93/13.57 inference(transitivity,[status(thm)],[16208, 16206])).
% 19.93/13.57 tff(16210,plain,
% 19.93/13.57 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~v94(constB130)) | v123(constB130, bitIndex1))),
% 19.93/13.57 inference(quant_inst,[status(thm)],[])).
% 19.93/13.57 tff(16211,plain,
% 19.93/13.57 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130))),
% 19.93/13.57 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 19.93/13.57 tff(16212,plain,
% 19.93/13.57 ((~v84(constB130, bitIndex1)) | (~v94(constB130))),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16211, 516, 16205])).
% 19.93/13.57 tff(16213,plain,
% 19.93/13.57 (~v84(constB130, bitIndex1)),
% 19.93/13.57 inference(unit_resolution,[status(thm)],[16212, 16139])).
% 19.93/13.57 tff(16214,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16215,plain,
% 19.93/13.57 (((~nextState(constB130, constB131)) | v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1))) <=> (v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1)))),
% 19.93/13.57 inference(rewrite,[status(thm)],[])).
% 19.93/13.57 tff(16216,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1))))),
% 19.93/13.57 inference(monotonicity,[status(thm)],[16215])).
% 19.93/13.57 tff(16217,plain,
% 19.93/13.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1)))),
% 19.93/13.58 inference(transitivity,[status(thm)],[16216, 16214])).
% 19.93/13.58 tff(16218,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16219,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16218, 16217])).
% 19.93/13.58 tff(16220,plain,
% 19.93/13.58 (v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1))),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16219, 142, 16167])).
% 19.93/13.58 tff(16221,plain,
% 19.93/13.58 (v84(constB130, bitIndex1) | (~v84(constB131, bitIndex1))),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16220, 16179])).
% 19.93/13.58 tff(16222,plain,
% 19.93/13.58 (~v84(constB131, bitIndex1)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16221, 16213])).
% 19.93/13.58 tff(16223,plain,
% 19.93/13.58 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB129)) | v124(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB129)) | v124(constB129, bitIndex0))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16224,plain,
% 19.93/13.58 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB129)) | v124(constB129, bitIndex0))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16225,plain,
% 19.93/13.58 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB129)) | v124(constB129, bitIndex0)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16224, 16223])).
% 19.93/13.58 tff(16226,plain,
% 19.93/13.58 (v124(constB129, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16225, 1631, 16077])).
% 19.93/13.58 tff(16227,plain,
% 19.93/13.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16228,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16229,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16228, 16227])).
% 19.93/13.58 tff(16230,plain,
% 19.93/13.58 ((~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16229, 557, 16093])).
% 19.93/13.58 tff(16231,plain,
% 19.93/13.58 (v121(constB129, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16230, 16226])).
% 19.93/13.58 tff(16232,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16233,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16234,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16233, 16232])).
% 19.93/13.58 tff(16235,plain,
% 19.93/13.58 ((~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16234, 572, 16105])).
% 19.93/13.58 tff(16236,plain,
% 19.93/13.58 (v123(constB130, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16235, 16231])).
% 19.93/13.58 tff(16237,plain,
% 19.93/13.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16238,plain,
% 19.93/13.58 ((v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0))) <=> (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16239,plain,
% 19.93/13.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130))))),
% 19.93/13.58 inference(monotonicity,[status(thm)],[16238])).
% 19.93/13.58 tff(16240,plain,
% 19.93/13.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 19.93/13.58 inference(transitivity,[status(thm)],[16239, 16237])).
% 19.93/13.58 tff(16241,plain,
% 19.93/13.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16242,plain,
% 19.93/13.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16241, 16240])).
% 19.93/13.58 tff(16243,plain,
% 19.93/13.58 (v84(constB130, bitIndex0) | (~v94(constB130))),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16242, 587, 16236])).
% 19.93/13.58 tff(16244,plain,
% 19.93/13.58 (v84(constB130, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16243, 16139])).
% 19.93/13.58 tff(16245,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16246,plain,
% 19.93/13.58 (((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0)) <=> ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16247,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0)))),
% 19.93/13.58 inference(monotonicity,[status(thm)],[16246])).
% 19.93/13.58 tff(16248,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 19.93/13.58 inference(transitivity,[status(thm)],[16247, 16245])).
% 19.93/13.58 tff(16249,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16250,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16249, 16248])).
% 19.93/13.58 tff(16251,plain,
% 19.93/13.58 ((~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16250, 605, 16167])).
% 19.93/13.58 tff(16252,plain,
% 19.93/13.58 ((~v84(constB130, bitIndex0)) | v84(constB131, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16251, 16179])).
% 19.93/13.58 tff(16253,plain,
% 19.93/13.58 (v84(constB131, bitIndex0)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16252, 16244])).
% 19.93/13.58 tff(16254,plain,
% 19.93/13.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16255,plain,
% 19.93/13.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16256,plain,
% 19.93/13.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 19.93/13.58 tff(16257,plain,
% 19.93/13.58 (v118(constB131)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16256, 1672, 16253, 16222, 16188])).
% 19.93/13.58 tff(16258,plain,
% 19.93/13.58 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB131)) | v124(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB131)) | v124(constB131, bitIndex2))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16259,plain,
% 19.93/13.58 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB131)) | v124(constB131, bitIndex2))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16260,plain,
% 19.93/13.58 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB131)) | v124(constB131, bitIndex2)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16259, 16258])).
% 19.93/13.58 tff(16261,plain,
% 19.93/13.58 (v124(constB131, bitIndex2)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16260, 1750, 16257])).
% 19.93/13.58 tff(16262,plain,
% 19.93/13.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16263,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16264,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 19.93/13.58 tff(16265,plain,
% 19.93/13.58 (v26(constB131) | v121(constB131, bitIndex2)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16264, 1273, 16261])).
% 19.93/13.58 tff(16266,plain,
% 19.93/13.58 (v121(constB131, bitIndex2)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16265, 29])).
% 19.93/13.58 tff(16267,plain,
% 19.93/13.58 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16268,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 19.93/13.58 tff(16269,plain,
% 19.93/13.58 (nextState(constB131, constB132)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 19.93/13.58 tff(16270,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16271,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16272,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16271, 16270])).
% 19.93/13.58 tff(16273,plain,
% 19.93/13.58 ((~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16272, 1288, 16269])).
% 19.93/13.58 tff(16274,plain,
% 19.93/13.58 (v123(constB132, bitIndex2)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16273, 16266])).
% 19.93/13.58 tff(16275,plain,
% 19.93/13.58 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB131) | (~v118(constB131)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16276,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB131) | (~v118(constB131)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16277,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB131) | (~v118(constB131))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16276, 16275])).
% 19.93/13.58 tff(16278,plain,
% 19.93/13.58 (v108(constB131)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16277, 1683, 16257])).
% 19.93/13.58 tff(16279,plain,
% 19.93/13.58 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB131) | (~v108(constB131)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB131) | (~v108(constB131)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16280,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB131) | (~v108(constB131)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16281,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB131) | (~v108(constB131))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16280, 16279])).
% 19.93/13.58 tff(16282,plain,
% 19.93/13.58 (v107(constB131)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16281, 250, 16278])).
% 19.93/13.58 tff(16283,assumption,(~v102(constB131)), introduced(assumption)).
% 19.93/13.58 tff(16284,plain,
% 19.93/13.58 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB131) | (~v106(constB131)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB131) | (~v106(constB131)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16285,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB131) | (~v106(constB131)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16286,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB131) | (~v106(constB131))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16285, 16284])).
% 19.93/13.58 tff(16287,plain,
% 19.93/13.58 (~v106(constB131)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16286, 276, 16283])).
% 19.93/13.58 tff(16288,plain,
% 19.93/13.58 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB131) | (~v26(constB131)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB131) | (~v26(constB131)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16289,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB131) | (~v26(constB131)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16290,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB131) | (~v26(constB131))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16289, 16288])).
% 19.93/13.58 tff(16291,plain,
% 19.93/13.58 (~v26(constB131)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16290, 670, 16283])).
% 19.93/13.58 tff(16292,assumption,(v107(constB131)), introduced(assumption)).
% 19.93/13.58 tff(16293,plain,
% 19.93/13.58 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16294,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16295,plain,
% 19.93/13.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 19.93/13.58 tff(16296,plain,
% 19.93/13.58 (v26(constB131) | v106(constB131)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16295, 264, 16292])).
% 19.93/13.58 tff(16297,plain,
% 19.93/13.58 ($false),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16296, 16291, 16287])).
% 19.93/13.58 tff(16298,plain,(v102(constB131) | (~v107(constB131))), inference(lemma,lemma(discharge,[]))).
% 19.93/13.58 tff(16299,plain,
% 19.93/13.58 (v102(constB131)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16298, 16282])).
% 19.93/13.58 tff(16300,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16301,plain,
% 19.93/13.58 (((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16302,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))))),
% 19.93/13.58 inference(monotonicity,[status(thm)],[16301])).
% 19.93/13.58 tff(16303,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 19.93/13.58 inference(transitivity,[status(thm)],[16302, 16300])).
% 19.93/13.58 tff(16304,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16305,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16304, 16303])).
% 19.93/13.58 tff(16306,plain,
% 19.93/13.58 (v104(constB132) | (~v102(constB131))),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16305, 293, 16269])).
% 19.93/13.58 tff(16307,plain,
% 19.93/13.58 (v104(constB132)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16306, 16299])).
% 19.93/13.58 tff(16308,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16309,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16310,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16309, 16308])).
% 19.93/13.58 tff(16311,plain,
% 19.93/13.58 (~v98(constB132)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16310, 311, 16269, 16164])).
% 19.93/13.58 tff(16312,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16313,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16314,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16313, 16312])).
% 19.93/13.58 tff(16315,plain,
% 19.93/13.58 (v96(constB132) | v98(constB132)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16314, 325, 16269])).
% 19.93/13.58 tff(16316,plain,
% 19.93/13.58 (v96(constB132)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16315, 16311])).
% 19.93/13.58 tff(16317,plain,
% 19.93/13.58 (v1(constB132) <=> v1(constB132)),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16318,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 19.93/13.58 tff(16319,plain,
% 19.93/13.58 (v1(constB132)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 19.93/13.58 tff(16320,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16321,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16322,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16321, 16320])).
% 19.93/13.58 tff(16323,plain,
% 19.93/13.58 (v95(constB132) | (~v96(constB132))),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16322, 343, 16269, 16319])).
% 19.93/13.58 tff(16324,plain,
% 19.93/13.58 (v95(constB132)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16323, 16316])).
% 19.93/13.58 tff(16325,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16326,plain,
% 19.93/13.58 (((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132)) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16327,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132))))),
% 19.93/13.58 inference(monotonicity,[status(thm)],[16326])).
% 19.93/13.58 tff(16328,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 19.93/13.58 inference(transitivity,[status(thm)],[16327, 16325])).
% 19.93/13.58 tff(16329,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16330,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16329, 16328])).
% 19.93/13.58 tff(16331,plain,
% 19.93/13.58 (v94(constB132) | (~v95(constB132)) | (~v104(constB132))),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16330, 358, 16269])).
% 19.93/13.58 tff(16332,plain,
% 19.93/13.58 (v94(constB132) | (~v104(constB132))),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16331, 16324])).
% 19.93/13.58 tff(16333,plain,
% 19.93/13.58 (v94(constB132)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16332, 16307])).
% 19.93/13.58 tff(16334,plain,
% 19.93/13.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16335,plain,
% 19.93/13.58 ((v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2))) <=> (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16336,plain,
% 19.93/13.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132))))),
% 19.93/13.58 inference(monotonicity,[status(thm)],[16335])).
% 19.93/13.58 tff(16337,plain,
% 19.93/13.58 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 19.93/13.58 inference(transitivity,[status(thm)],[16336, 16334])).
% 19.93/13.58 tff(16338,plain,
% 19.93/13.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16339,plain,
% 19.93/13.58 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132))),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16338, 16337])).
% 19.93/13.58 tff(16340,plain,
% 19.93/13.58 (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2))),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16339, 1303, 16333])).
% 19.93/13.58 tff(16341,plain,
% 19.93/13.58 (v84(constB132, bitIndex2)),
% 19.93/13.58 inference(unit_resolution,[status(thm)],[16340, 16274])).
% 19.93/13.58 tff(16342,plain,
% 19.93/13.58 ((~v1(constB133)) <=> (~v1(constB133))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16343,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 19.93/13.58 tff(16344,plain,
% 19.93/13.58 (~v1(constB133)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16343, 16342])).
% 19.93/13.58 tff(16345,plain,
% 19.93/13.58 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16346,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 19.93/13.58 tff(16347,plain,
% 19.93/13.58 (nextState(constB132, constB133)),
% 19.93/13.58 inference(modus_ponens,[status(thm)],[16346, 16345])).
% 19.93/13.58 tff(16348,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16349,plain,
% 19.93/13.58 (((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 19.93/13.58 inference(rewrite,[status(thm)],[])).
% 19.93/13.58 tff(16350,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))))),
% 19.93/13.58 inference(monotonicity,[status(thm)],[16349])).
% 19.93/13.58 tff(16351,plain,
% 19.93/13.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 19.93/13.58 inference(transitivity,[status(thm)],[16350, 16348])).
% 19.93/13.58 tff(16352,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))),
% 19.93/13.58 inference(quant_inst,[status(thm)],[])).
% 19.93/13.58 tff(16353,plain,
% 19.93/13.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16352, 16351])).
% 19.93/13.59 tff(16354,plain,
% 19.93/13.59 (~v95(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16353, 89, 16347, 16344])).
% 19.93/13.59 tff(16355,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16356,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16357,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16356, 16355])).
% 19.93/13.59 tff(16358,plain,
% 19.93/13.59 (v95(constB133) | (~v94(constB133))),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16357, 106, 16347])).
% 19.93/13.59 tff(16359,plain,
% 19.93/13.59 (~v94(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16358, 16354])).
% 19.93/13.59 tff(16360,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16361,plain,
% 19.93/13.59 (((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2)) <=> ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16362,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2)))),
% 19.93/13.59 inference(monotonicity,[status(thm)],[16361])).
% 19.93/13.59 tff(16363,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 19.93/13.59 inference(transitivity,[status(thm)],[16362, 16360])).
% 19.93/13.59 tff(16364,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16365,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16364, 16363])).
% 19.93/13.59 tff(16366,plain,
% 19.93/13.59 ((~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16365, 1339, 16347])).
% 19.93/13.59 tff(16367,plain,
% 19.93/13.59 ((~v84(constB132, bitIndex2)) | v84(constB133, bitIndex2)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16366, 16359])).
% 19.93/13.59 tff(16368,plain,
% 19.93/13.59 (v84(constB133, bitIndex2)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16367, 16341])).
% 19.93/13.59 tff(16369,plain,
% 19.93/13.59 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB131)) | v124(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB131)) | v124(constB131, bitIndex1))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16370,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB131)) | v124(constB131, bitIndex1))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16371,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB131)) | v124(constB131, bitIndex1)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16370, 16369])).
% 19.93/13.59 tff(16372,plain,
% 19.93/13.59 (v124(constB131, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16371, 1809, 16257])).
% 19.93/13.59 tff(16373,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB131) | (~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB131) | (~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16374,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB131) | (~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16375,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB131) | (~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16374, 16373])).
% 19.93/13.59 tff(16376,plain,
% 19.93/13.59 (v26(constB131) | v121(constB131, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16375, 804, 16372])).
% 19.93/13.59 tff(16377,plain,
% 19.93/13.59 (v121(constB131, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16376, 29])).
% 19.93/13.59 tff(16378,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16379,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16380,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16379, 16378])).
% 19.93/13.59 tff(16381,plain,
% 19.93/13.59 ((~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16380, 819, 16269])).
% 19.93/13.59 tff(16382,plain,
% 19.93/13.59 (v123(constB132, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16381, 16377])).
% 19.93/13.59 tff(16383,plain,
% 19.93/13.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16384,plain,
% 19.93/13.59 ((v84(constB132, bitIndex1) | (~v94(constB132)) | (~v123(constB132, bitIndex1))) <=> (v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16385,plain,
% 19.93/13.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v94(constB132)) | (~v123(constB132, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132))))),
% 19.93/13.59 inference(monotonicity,[status(thm)],[16384])).
% 19.93/13.59 tff(16386,plain,
% 19.93/13.59 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v94(constB132)) | (~v123(constB132, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132)))),
% 19.93/13.59 inference(transitivity,[status(thm)],[16385, 16383])).
% 19.93/13.59 tff(16387,plain,
% 19.93/13.59 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v94(constB132)) | (~v123(constB132, bitIndex1)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16388,plain,
% 19.93/13.59 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16387, 16386])).
% 19.93/13.59 tff(16389,plain,
% 19.93/13.59 (v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1))),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16388, 834, 16333])).
% 19.93/13.59 tff(16390,plain,
% 19.93/13.59 (v84(constB132, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16389, 16382])).
% 19.93/13.59 tff(16391,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16392,plain,
% 19.93/13.59 (((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1)) <=> ((~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16393,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1)))),
% 19.93/13.59 inference(monotonicity,[status(thm)],[16392])).
% 19.93/13.59 tff(16394,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1))),
% 19.93/13.59 inference(transitivity,[status(thm)],[16393, 16391])).
% 19.93/13.59 tff(16395,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16396,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16395, 16394])).
% 19.93/13.59 tff(16397,plain,
% 19.93/13.59 ((~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16396, 852, 16347])).
% 19.93/13.59 tff(16398,plain,
% 19.93/13.59 ((~v84(constB132, bitIndex1)) | v84(constB133, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16397, 16359])).
% 19.93/13.59 tff(16399,plain,
% 19.93/13.59 (v84(constB133, bitIndex1)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16398, 16390])).
% 19.93/13.59 tff(16400,plain,
% 19.93/13.59 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB131)) | (~v124(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB131)) | (~v124(constB131, bitIndex0)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16401,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB131)) | (~v124(constB131, bitIndex0)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16402,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB131)) | (~v124(constB131, bitIndex0))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16401, 16400])).
% 19.93/13.59 tff(16403,plain,
% 19.93/13.59 (~v124(constB131, bitIndex0)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16402, 1850, 16257])).
% 19.93/13.59 tff(16404,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16405,plain,
% 19.93/13.59 ((v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0))) <=> ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16406,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0)))),
% 19.93/13.59 inference(monotonicity,[status(thm)],[16405])).
% 19.93/13.59 tff(16407,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 19.93/13.59 inference(transitivity,[status(thm)],[16406, 16404])).
% 19.93/13.59 tff(16408,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16409,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16408, 16407])).
% 19.93/13.59 tff(16410,plain,
% 19.93/13.59 ((~v121(constB131, bitIndex0)) | v26(constB131)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16409, 885, 16403])).
% 19.93/13.59 tff(16411,plain,
% 19.93/13.59 (~v121(constB131, bitIndex0)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16410, 29])).
% 19.93/13.59 tff(16412,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16413,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16414,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16413, 16412])).
% 19.93/13.59 tff(16415,plain,
% 19.93/13.59 (v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0))),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16414, 903, 16269])).
% 19.93/13.59 tff(16416,plain,
% 19.93/13.59 (~v123(constB132, bitIndex0)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16415, 16411])).
% 19.93/13.59 tff(16417,plain,
% 19.93/13.59 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16418,plain,
% 19.93/13.59 (((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0)) <=> ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16419,plain,
% 19.93/13.59 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132))))),
% 19.93/13.59 inference(monotonicity,[status(thm)],[16418])).
% 19.93/13.59 tff(16420,plain,
% 19.93/13.59 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 19.93/13.59 inference(transitivity,[status(thm)],[16419, 16417])).
% 19.93/13.59 tff(16421,plain,
% 19.93/13.59 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16422,plain,
% 19.93/13.59 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 19.93/13.59 tff(16423,plain,
% 19.93/13.59 ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16422, 918, 16333])).
% 19.93/13.59 tff(16424,plain,
% 19.93/13.59 (~v84(constB132, bitIndex0)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16423, 16416])).
% 19.93/13.59 tff(16425,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16426,plain,
% 19.93/13.59 (((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0))) <=> (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16427,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0))))),
% 19.93/13.59 inference(monotonicity,[status(thm)],[16426])).
% 19.93/13.59 tff(16428,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 19.93/13.59 inference(transitivity,[status(thm)],[16427, 16425])).
% 19.93/13.59 tff(16429,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16430,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 19.93/13.59 tff(16431,plain,
% 19.93/13.59 (v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0))),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16430, 163, 16347])).
% 19.93/13.59 tff(16432,plain,
% 19.93/13.59 (v84(constB132, bitIndex0) | (~v84(constB133, bitIndex0))),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16431, 16359])).
% 19.93/13.59 tff(16433,plain,
% 19.93/13.59 (~v84(constB133, bitIndex0)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16432, 16424])).
% 19.93/13.59 tff(16434,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)) | v119(constB133))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)) | v119(constB133))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16435,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)) | v119(constB133))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16436,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)) | v119(constB133)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16435, 16434])).
% 19.93/13.59 tff(16437,plain,
% 19.93/13.59 (v119(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16436, 1894, 16433, 16399, 16368])).
% 19.93/13.59 tff(16438,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB133) | (~v119(constB133)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB133) | (~v119(constB133)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16439,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB133) | (~v119(constB133)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16440,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB133) | (~v119(constB133))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16439, 16438])).
% 19.93/13.59 tff(16441,plain,
% 19.93/13.59 (v107(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16440, 1905, 16437])).
% 19.93/13.59 tff(16442,assumption,(v71(constB133)), introduced(assumption)).
% 19.93/13.59 tff(16443,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB133))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16444,plain,
% 19.93/13.59 ($false),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16443, 2775, 16442])).
% 19.93/13.59 tff(16445,plain,(~v71(constB133)), inference(lemma,lemma(discharge,[]))).
% 19.93/13.59 tff(16446,assumption,(v18(constB134)), introduced(assumption)).
% 19.93/13.59 tff(16447,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB134))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16448,plain,
% 19.93/13.59 ($false),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16447, 2627, 16446])).
% 19.93/13.59 tff(16449,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 19.93/13.59 tff(16450,plain,
% 19.93/13.59 (v1(constB134) <=> v1(constB134)),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16451,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 19.93/13.59 tff(16452,plain,
% 19.93/13.59 (v1(constB134)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 19.93/13.59 tff(16453,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16454,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16455,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16454, 16453])).
% 19.93/13.59 tff(16456,plain,
% 19.93/13.59 (v22(constB134)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16455, 2640, 16452])).
% 19.93/13.59 tff(16457,plain,
% 19.93/13.59 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16458,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16459,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 19.93/13.59 tff(16460,plain,
% 19.93/13.59 ((~v19(constB134)) | v18(constB134)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16459, 2654, 16456])).
% 19.93/13.59 tff(16461,plain,
% 19.93/13.59 (~v19(constB134)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16460, 16449])).
% 19.93/13.59 tff(16462,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16463,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16464,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16463, 16462])).
% 19.93/13.59 tff(16465,plain,
% 19.93/13.59 (v13(constB134)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16464, 2669, 16461])).
% 19.93/13.59 tff(16466,plain,
% 19.93/13.59 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16467,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 19.93/13.59 tff(16468,plain,
% 19.93/13.59 (nextState(constB133, constB134)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16467, 16466])).
% 19.93/13.59 tff(16469,plain,
% 19.93/13.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16470,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16471,plain,
% 19.93/13.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16470, 16469])).
% 19.93/13.59 tff(16472,plain,
% 19.93/13.59 ((~v13(constB134)) | v9(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16471, 2686, 16468])).
% 19.93/13.59 tff(16473,plain,
% 19.93/13.59 (v9(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16472, 16465])).
% 19.93/13.59 tff(16474,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB133) | (~v9(constB133)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB133) | (~v9(constB133)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16475,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB133) | (~v9(constB133)))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16476,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB133) | (~v9(constB133))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16475, 16474])).
% 19.93/13.59 tff(16477,plain,
% 19.93/13.59 (v80(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16476, 2734, 16473])).
% 19.93/13.59 tff(16478,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB133) | v78(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB133) | v78(constB133))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16479,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB133) | v78(constB133))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16480,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB133) | v78(constB133)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16479, 16478])).
% 19.93/13.59 tff(16481,plain,
% 19.93/13.59 (v78(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16480, 2748, 16344])).
% 19.93/13.59 tff(16482,plain,
% 19.93/13.59 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB133)) | (~v80(constB133)) | v76(constB133))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB133)) | (~v80(constB133)) | v76(constB133))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16483,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB133)) | (~v80(constB133)) | v76(constB133))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16484,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB133)) | (~v80(constB133)) | v76(constB133)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16483, 16482])).
% 19.93/13.59 tff(16485,plain,
% 19.93/13.59 ((~v80(constB133)) | v76(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16484, 2762, 16481])).
% 19.93/13.59 tff(16486,plain,
% 19.93/13.59 (v76(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16485, 16477])).
% 19.93/13.59 tff(16487,plain,
% 19.93/13.59 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB133)) | (~v72(constB133)) | v71(constB133))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB133)) | (~v72(constB133)) | v71(constB133))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16488,plain,
% 19.93/13.59 (((~v72(constB133)) | (~v76(constB133)) | v71(constB133)) <=> ((~v76(constB133)) | (~v72(constB133)) | v71(constB133))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16489,plain,
% 19.93/13.59 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB133)) | (~v72(constB133)) | v71(constB133)))),
% 19.93/13.59 inference(monotonicity,[status(thm)],[16488])).
% 19.93/13.59 tff(16490,plain,
% 19.93/13.59 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB133)) | (~v72(constB133)) | v71(constB133))),
% 19.93/13.59 inference(transitivity,[status(thm)],[16489, 16487])).
% 19.93/13.59 tff(16491,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB133)) | (~v76(constB133)) | v71(constB133))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16492,plain,
% 19.93/13.59 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB133)) | (~v72(constB133)) | v71(constB133)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 19.93/13.59 tff(16493,plain,
% 19.93/13.59 ((~v72(constB133)) | v71(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16492, 2788, 16486])).
% 19.93/13.59 tff(16494,plain,
% 19.93/13.59 (~v72(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16493, 16445])).
% 19.93/13.59 tff(16495,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB133) | v72(constB133) | v74(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB133) | v72(constB133) | v74(constB133))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16496,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB133) | v72(constB133) | v74(constB133))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16497,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB133) | v72(constB133) | v74(constB133)),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 19.93/13.59 tff(16498,plain,
% 19.93/13.59 (v72(constB133) | v74(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16497, 2803, 16344])).
% 19.93/13.59 tff(16499,plain,
% 19.93/13.59 (v74(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16498, 16494])).
% 19.93/13.59 tff(16500,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | v64(constB133) | (~v9(constB133)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB133) | v64(constB133) | (~v9(constB133)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16501,plain,
% 19.93/13.59 ((v1(constB133) | (~v9(constB133)) | v64(constB133)) <=> (v1(constB133) | v64(constB133) | (~v9(constB133)))),
% 19.93/13.59 inference(rewrite,[status(thm)],[])).
% 19.93/13.59 tff(16502,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v64(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | v64(constB133) | (~v9(constB133))))),
% 19.93/13.59 inference(monotonicity,[status(thm)],[16501])).
% 19.93/13.59 tff(16503,plain,
% 19.93/13.59 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v64(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB133) | v64(constB133) | (~v9(constB133)))),
% 19.93/13.59 inference(transitivity,[status(thm)],[16502, 16500])).
% 19.93/13.59 tff(16504,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v64(constB133))),
% 19.93/13.59 inference(quant_inst,[status(thm)],[])).
% 19.93/13.59 tff(16505,plain,
% 19.93/13.59 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB133) | v64(constB133) | (~v9(constB133))),
% 19.93/13.59 inference(modus_ponens,[status(thm)],[16504, 16503])).
% 19.93/13.59 tff(16506,plain,
% 19.93/13.59 (v64(constB133) | (~v9(constB133))),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16505, 2701, 16344])).
% 19.93/13.59 tff(16507,plain,
% 19.93/13.59 (v64(constB133)),
% 19.93/13.59 inference(unit_resolution,[status(thm)],[16506, 16473])).
% 19.93/13.59 tff(16508,assumption,(v26(constB132)), introduced(assumption)).
% 19.93/13.60 tff(16509,plain,
% 19.93/13.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB132))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16510,plain,
% 19.93/13.60 ($false),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16509, 18, 16508])).
% 19.93/13.60 tff(16511,plain,(~v26(constB132)), inference(lemma,lemma(discharge,[]))).
% 19.93/13.60 tff(16512,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16513,plain,
% 19.93/13.60 ((v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133))) <=> ((~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16514,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133))))),
% 19.93/13.60 inference(monotonicity,[status(thm)],[16513])).
% 19.93/13.60 tff(16515,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133)))),
% 19.93/13.60 inference(transitivity,[status(thm)],[16514, 16512])).
% 19.93/13.60 tff(16516,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB132) | (~nextState(constB132, constB133)) | (~v66(constB133)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16517,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB132, constB133)) | v26(constB132) | (~v66(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16516, 16515])).
% 19.93/13.60 tff(16518,plain,
% 19.93/13.60 (v26(constB132) | (~v66(constB133))),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16517, 2611, 16347])).
% 19.93/13.60 tff(16519,plain,
% 19.93/13.60 (~v66(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16518, 16511])).
% 19.93/13.60 tff(16520,plain,
% 19.93/13.60 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB133)) | v66(constB133) | (~v64(constB133)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB133)) | v66(constB133) | (~v64(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16521,plain,
% 19.93/13.60 (((~v64(constB133)) | (~v60(constB133)) | v66(constB133)) <=> ((~v60(constB133)) | v66(constB133) | (~v64(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16522,plain,
% 19.93/13.60 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB133)) | (~v60(constB133)) | v66(constB133))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB133)) | v66(constB133) | (~v64(constB133))))),
% 19.93/13.60 inference(monotonicity,[status(thm)],[16521])).
% 19.93/13.60 tff(16523,plain,
% 19.93/13.60 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB133)) | (~v60(constB133)) | v66(constB133))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB133)) | v66(constB133) | (~v64(constB133)))),
% 19.93/13.60 inference(transitivity,[status(thm)],[16522, 16520])).
% 19.93/13.60 tff(16524,plain,
% 19.93/13.60 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB133)) | (~v60(constB133)) | v66(constB133))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16525,plain,
% 19.93/13.60 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB133)) | v66(constB133) | (~v64(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16524, 16523])).
% 19.93/13.60 tff(16526,plain,
% 19.93/13.60 ((~v60(constB133)) | (~v64(constB133))),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16525, 2719, 16519])).
% 19.93/13.60 tff(16527,plain,
% 19.93/13.60 (~v60(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16526, 16507])).
% 19.93/13.60 tff(16528,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB133) | (~v26(constB133)) | (~v74(constB133)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB133) | (~v26(constB133)) | (~v74(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16529,plain,
% 19.93/13.60 (((~v26(constB133)) | v60(constB133) | (~v74(constB133))) <=> (v60(constB133) | (~v26(constB133)) | (~v74(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16530,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB133)) | v60(constB133) | (~v74(constB133)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB133) | (~v26(constB133)) | (~v74(constB133))))),
% 19.93/13.60 inference(monotonicity,[status(thm)],[16529])).
% 19.93/13.60 tff(16531,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB133)) | v60(constB133) | (~v74(constB133)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB133) | (~v26(constB133)) | (~v74(constB133)))),
% 19.93/13.60 inference(transitivity,[status(thm)],[16530, 16528])).
% 19.93/13.60 tff(16532,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB133)) | v60(constB133) | (~v74(constB133)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16533,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB133) | (~v26(constB133)) | (~v74(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16532, 16531])).
% 19.93/13.60 tff(16534,plain,
% 19.93/13.60 ((~v26(constB133)) | (~v74(constB133))),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16533, 2818, 16527])).
% 19.93/13.60 tff(16535,plain,
% 19.93/13.60 (~v26(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16534, 16499])).
% 19.93/13.60 tff(16536,plain,
% 19.93/13.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | v106(constB133) | (~v107(constB133)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | v106(constB133) | (~v107(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16537,plain,
% 19.93/13.60 ((v26(constB133) | (~v107(constB133)) | v106(constB133)) <=> (v26(constB133) | v106(constB133) | (~v107(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16538,plain,
% 19.93/13.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | v106(constB133) | (~v107(constB133))))),
% 19.93/13.60 inference(monotonicity,[status(thm)],[16537])).
% 19.93/13.60 tff(16539,plain,
% 19.93/13.60 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | v106(constB133) | (~v107(constB133)))),
% 19.93/13.60 inference(transitivity,[status(thm)],[16538, 16536])).
% 19.93/13.60 tff(16540,plain,
% 19.93/13.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16541,plain,
% 19.93/13.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | v106(constB133) | (~v107(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16540, 16539])).
% 19.93/13.60 tff(16542,plain,
% 19.93/13.60 (v106(constB133) | (~v107(constB133))),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16541, 264, 16535])).
% 19.93/13.60 tff(16543,plain,
% 19.93/13.60 (v106(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16542, 16441])).
% 19.93/13.60 tff(16544,plain,
% 19.93/13.60 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB133) | (~v106(constB133)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB133) | (~v106(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16545,plain,
% 19.93/13.60 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB133) | (~v106(constB133)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16546,plain,
% 19.93/13.60 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB133) | (~v106(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 19.93/13.60 tff(16547,plain,
% 19.93/13.60 (v102(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16546, 276, 16543])).
% 19.93/13.60 tff(16548,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16549,plain,
% 19.93/13.60 (((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16550,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))))),
% 19.93/13.60 inference(monotonicity,[status(thm)],[16549])).
% 19.93/13.60 tff(16551,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 19.93/13.60 inference(transitivity,[status(thm)],[16550, 16548])).
% 19.93/13.60 tff(16552,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16553,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16552, 16551])).
% 19.93/13.60 tff(16554,plain,
% 19.93/13.60 (v104(constB134) | (~v102(constB133))),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16553, 293, 16468])).
% 19.93/13.60 tff(16555,plain,
% 19.93/13.60 (v104(constB134)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16554, 16547])).
% 19.93/13.60 tff(16556,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16557,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16558,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16557, 16556])).
% 19.93/13.60 tff(16559,plain,
% 19.93/13.60 (~v98(constB134)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16558, 311, 16468, 16344])).
% 19.93/13.60 tff(16560,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16561,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16562,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134)),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 19.93/13.60 tff(16563,plain,
% 19.93/13.60 (v96(constB134) | v98(constB134)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16562, 325, 16468])).
% 19.93/13.60 tff(16564,plain,
% 19.93/13.60 (v96(constB134)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16563, 16559])).
% 19.93/13.60 tff(16565,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16566,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16567,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16566, 16565])).
% 19.93/13.60 tff(16568,plain,
% 19.93/13.60 (v95(constB134) | (~v96(constB134))),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16567, 343, 16468, 16452])).
% 19.93/13.60 tff(16569,plain,
% 19.93/13.60 (v95(constB134)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16568, 16564])).
% 19.93/13.60 tff(16570,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16571,plain,
% 19.93/13.60 (((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134)) <=> ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16572,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134))))),
% 19.93/13.60 inference(monotonicity,[status(thm)],[16571])).
% 19.93/13.60 tff(16573,plain,
% 19.93/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 19.93/13.60 inference(transitivity,[status(thm)],[16572, 16570])).
% 19.93/13.60 tff(16574,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16575,plain,
% 19.93/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 19.93/13.60 tff(16576,plain,
% 19.93/13.60 (v94(constB134) | (~v95(constB134)) | (~v104(constB134))),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16575, 358, 16468])).
% 19.93/13.60 tff(16577,plain,
% 19.93/13.60 (v94(constB134) | (~v104(constB134))),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16576, 16569])).
% 19.93/13.60 tff(16578,plain,
% 19.93/13.60 (v94(constB134)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16577, 16555])).
% 19.93/13.60 tff(16579,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v115(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB133, bitIndex2)) | (~v115(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16580,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v115(constB133)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16581,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB133, bitIndex2)) | (~v115(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 19.93/13.60 tff(16582,plain,
% 19.93/13.60 (~v115(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16581, 1965, 16368])).
% 19.93/13.60 tff(16583,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v116(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB133, bitIndex2)) | (~v116(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16584,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v116(constB133)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16585,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB133, bitIndex2)) | (~v116(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16584, 16583])).
% 19.93/13.60 tff(16586,plain,
% 19.93/13.60 (~v116(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16585, 1976, 16368])).
% 19.93/13.60 tff(16587,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB133)) | (~v84(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB133)) | (~v84(constB133, bitIndex1)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16588,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB133)) | (~v84(constB133, bitIndex1)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16589,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB133)) | (~v84(constB133, bitIndex1))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 19.93/13.60 tff(16590,plain,
% 19.93/13.60 (~v113(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16589, 1990, 16399])).
% 19.93/13.60 tff(16591,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB133, bitIndex1)) | (~v118(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB133, bitIndex1)) | (~v118(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16592,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB133, bitIndex1)) | (~v118(constB133)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16593,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB133, bitIndex1)) | (~v118(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16592, 16591])).
% 19.93/13.60 tff(16594,plain,
% 19.93/13.60 (~v118(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16593, 2001, 16399])).
% 19.93/13.60 tff(16595,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB133, bitIndex1)) | (~v172(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB133, bitIndex1)) | (~v172(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16596,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB133, bitIndex1)) | (~v172(constB133)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16597,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB133, bitIndex1)) | (~v172(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16596, 16595])).
% 19.93/13.60 tff(16598,plain,
% 19.93/13.60 (~v172(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16597, 2023, 16399])).
% 19.93/13.60 tff(16599,plain,
% 19.93/13.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB133, bitIndex1)) | (~v145(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB133, bitIndex1)) | (~v145(constB133)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16600,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB133, bitIndex1)) | (~v145(constB133)))),
% 19.93/13.60 inference(quant_inst,[status(thm)],[])).
% 19.93/13.60 tff(16601,plain,
% 19.93/13.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB133, bitIndex1)) | (~v145(constB133))),
% 19.93/13.60 inference(modus_ponens,[status(thm)],[16600, 16599])).
% 19.93/13.60 tff(16602,plain,
% 19.93/13.60 (~v145(constB133)),
% 19.93/13.60 inference(unit_resolution,[status(thm)],[16601, 2012, 16399])).
% 19.93/13.60 tff(16603,plain,
% 19.93/13.60 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex2)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16604,plain,
% 19.93/13.60 ((v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex2))) <=> (v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex2)))),
% 19.93/13.60 inference(rewrite,[status(thm)],[])).
% 19.93/13.60 tff(16605,plain,
% 19.93/13.60 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex2))))),
% 19.93/13.60 inference(monotonicity,[status(thm)],[16604])).
% 19.93/13.60 tff(16606,plain,
% 19.93/13.60 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex2)))),
% 19.93/13.60 inference(transitivity,[status(thm)],[16605, 16603])).
% 19.93/13.60 tff(16607,plain,
% 19.93/13.60 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex2)))),
% 20.03/13.60 inference(quant_inst,[status(thm)],[])).
% 20.03/13.60 tff(16608,plain,
% 20.03/13.60 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex2))),
% 20.03/13.60 inference(modus_ponens,[status(thm)],[16607, 16606])).
% 20.03/13.60 tff(16609,plain,
% 20.03/13.60 (~v124(constB133, bitIndex2)),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16608, 2037, 16602, 16598, 16594, 16590, 16586, 16582])).
% 20.03/13.60 tff(16610,plain,
% 20.03/13.60 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16611,plain,
% 20.03/13.60 ((v26(constB133) | v124(constB133, bitIndex2) | (~v121(constB133, bitIndex2))) <=> ((~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16612,plain,
% 20.03/13.60 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB133) | v124(constB133, bitIndex2) | (~v121(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2)))),
% 20.03/13.60 inference(monotonicity,[status(thm)],[16611])).
% 20.03/13.60 tff(16613,plain,
% 20.03/13.60 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB133) | v124(constB133, bitIndex2) | (~v121(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2))),
% 20.03/13.60 inference(transitivity,[status(thm)],[16612, 16610])).
% 20.03/13.60 tff(16614,plain,
% 20.03/13.60 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB133) | v124(constB133, bitIndex2) | (~v121(constB133, bitIndex2)))),
% 20.03/13.60 inference(quant_inst,[status(thm)],[])).
% 20.03/13.60 tff(16615,plain,
% 20.03/13.60 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2)),
% 20.03/13.60 inference(modus_ponens,[status(thm)],[16614, 16613])).
% 20.03/13.60 tff(16616,plain,
% 20.03/13.60 ((~v121(constB133, bitIndex2)) | v124(constB133, bitIndex2)),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16615, 391, 16535])).
% 20.03/13.60 tff(16617,plain,
% 20.03/13.60 (~v121(constB133, bitIndex2)),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16616, 16609])).
% 20.03/13.60 tff(16618,plain,
% 20.03/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2)))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16619,plain,
% 20.03/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2)))),
% 20.03/13.60 inference(quant_inst,[status(thm)],[])).
% 20.03/13.60 tff(16620,plain,
% 20.03/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2))),
% 20.03/13.60 inference(modus_ponens,[status(thm)],[16619, 16618])).
% 20.03/13.60 tff(16621,plain,
% 20.03/13.60 (v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2))),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16620, 409, 16468])).
% 20.03/13.60 tff(16622,plain,
% 20.03/13.60 (~v123(constB134, bitIndex2)),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16621, 16617])).
% 20.03/13.60 tff(16623,plain,
% 20.03/13.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134)))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16624,plain,
% 20.03/13.60 (((~v84(constB134, bitIndex2)) | (~v94(constB134)) | v123(constB134, bitIndex2)) <=> ((~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134)))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16625,plain,
% 20.03/13.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | (~v94(constB134)) | v123(constB134, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134))))),
% 20.03/13.60 inference(monotonicity,[status(thm)],[16624])).
% 20.03/13.60 tff(16626,plain,
% 20.03/13.60 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | (~v94(constB134)) | v123(constB134, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134)))),
% 20.03/13.60 inference(transitivity,[status(thm)],[16625, 16623])).
% 20.03/13.60 tff(16627,plain,
% 20.03/13.60 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB134, bitIndex2)) | (~v94(constB134)) | v123(constB134, bitIndex2))),
% 20.03/13.60 inference(quant_inst,[status(thm)],[])).
% 20.03/13.60 tff(16628,plain,
% 20.03/13.60 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134))),
% 20.03/13.60 inference(modus_ponens,[status(thm)],[16627, 16626])).
% 20.03/13.60 tff(16629,plain,
% 20.03/13.60 ((~v84(constB134, bitIndex2)) | (~v94(constB134))),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16628, 424, 16622])).
% 20.03/13.60 tff(16630,plain,
% 20.03/13.60 (~v84(constB134, bitIndex2)),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16629, 16578])).
% 20.03/13.60 tff(16631,plain,
% 20.03/13.60 ((~v1(constB135)) <=> (~v1(constB135))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16632,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 20.03/13.60 tff(16633,plain,
% 20.03/13.60 (~v1(constB135)),
% 20.03/13.60 inference(modus_ponens,[status(thm)],[16632, 16631])).
% 20.03/13.60 tff(16634,plain,
% 20.03/13.60 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16635,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 20.03/13.60 tff(16636,plain,
% 20.03/13.60 (nextState(constB134, constB135)),
% 20.03/13.60 inference(modus_ponens,[status(thm)],[16635, 16634])).
% 20.03/13.60 tff(16637,plain,
% 20.03/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16638,plain,
% 20.03/13.60 (((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16639,plain,
% 20.03/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))))),
% 20.03/13.60 inference(monotonicity,[status(thm)],[16638])).
% 20.03/13.60 tff(16640,plain,
% 20.03/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 20.03/13.60 inference(transitivity,[status(thm)],[16639, 16637])).
% 20.03/13.60 tff(16641,plain,
% 20.03/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))),
% 20.03/13.60 inference(quant_inst,[status(thm)],[])).
% 20.03/13.60 tff(16642,plain,
% 20.03/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))),
% 20.03/13.60 inference(modus_ponens,[status(thm)],[16641, 16640])).
% 20.03/13.60 tff(16643,plain,
% 20.03/13.60 (~v95(constB135)),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16642, 89, 16636, 16633])).
% 20.03/13.60 tff(16644,plain,
% 20.03/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16645,plain,
% 20.03/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 20.03/13.60 inference(quant_inst,[status(thm)],[])).
% 20.03/13.60 tff(16646,plain,
% 20.03/13.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135))),
% 20.03/13.60 inference(modus_ponens,[status(thm)],[16645, 16644])).
% 20.03/13.60 tff(16647,plain,
% 20.03/13.60 (v95(constB135) | (~v94(constB135))),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16646, 106, 16636])).
% 20.03/13.60 tff(16648,plain,
% 20.03/13.60 (~v94(constB135)),
% 20.03/13.60 inference(unit_resolution,[status(thm)],[16647, 16643])).
% 20.03/13.60 tff(16649,plain,
% 20.03/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2)))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16650,plain,
% 20.03/13.60 (((~nextState(constB134, constB135)) | v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2))) <=> (v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2)))),
% 20.03/13.60 inference(rewrite,[status(thm)],[])).
% 20.03/13.60 tff(16651,plain,
% 20.03/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2))))),
% 20.03/13.60 inference(monotonicity,[status(thm)],[16650])).
% 20.03/13.60 tff(16652,plain,
% 20.03/13.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2)))),
% 20.03/13.61 inference(transitivity,[status(thm)],[16651, 16649])).
% 20.03/13.61 tff(16653,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16654,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 20.03/13.61 tff(16655,plain,
% 20.03/13.61 (v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2))),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16654, 121, 16636])).
% 20.03/13.61 tff(16656,plain,
% 20.03/13.61 (v84(constB134, bitIndex2) | (~v84(constB135, bitIndex2))),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16655, 16648])).
% 20.03/13.61 tff(16657,plain,
% 20.03/13.61 (~v84(constB135, bitIndex2)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16656, 16630])).
% 20.03/13.61 tff(16658,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex1)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16659,plain,
% 20.03/13.61 ((v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex1))) <=> (v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex1)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16660,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex1))))),
% 20.03/13.61 inference(monotonicity,[status(thm)],[16659])).
% 20.03/13.61 tff(16661,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex1)))),
% 20.03/13.61 inference(transitivity,[status(thm)],[16660, 16658])).
% 20.03/13.61 tff(16662,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex1)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16663,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133) | (~v124(constB133, bitIndex1))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16662, 16661])).
% 20.03/13.61 tff(16664,plain,
% 20.03/13.61 (~v124(constB133, bitIndex1)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16663, 2102, 16602, 16598, 16594, 16590, 16586, 16582])).
% 20.03/13.61 tff(16665,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16666,plain,
% 20.03/13.61 ((v26(constB133) | v124(constB133, bitIndex1) | (~v121(constB133, bitIndex1))) <=> ((~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16667,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB133) | v124(constB133, bitIndex1) | (~v121(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1)))),
% 20.03/13.61 inference(monotonicity,[status(thm)],[16666])).
% 20.03/13.61 tff(16668,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB133) | v124(constB133, bitIndex1) | (~v121(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1))),
% 20.03/13.61 inference(transitivity,[status(thm)],[16667, 16665])).
% 20.03/13.61 tff(16669,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB133) | v124(constB133, bitIndex1) | (~v121(constB133, bitIndex1)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16670,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1)),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16669, 16668])).
% 20.03/13.61 tff(16671,plain,
% 20.03/13.61 ((~v121(constB133, bitIndex1)) | v124(constB133, bitIndex1)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16670, 483, 16535])).
% 20.03/13.61 tff(16672,plain,
% 20.03/13.61 (~v121(constB133, bitIndex1)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16671, 16664])).
% 20.03/13.61 tff(16673,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16674,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16675,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16674, 16673])).
% 20.03/13.61 tff(16676,plain,
% 20.03/13.61 (v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1))),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16675, 501, 16468])).
% 20.03/13.61 tff(16677,plain,
% 20.03/13.61 (~v123(constB134, bitIndex1)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16676, 16672])).
% 20.03/13.61 tff(16678,plain,
% 20.03/13.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16679,plain,
% 20.03/13.61 (((~v84(constB134, bitIndex1)) | (~v94(constB134)) | v123(constB134, bitIndex1)) <=> ((~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16680,plain,
% 20.03/13.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~v94(constB134)) | v123(constB134, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134))))),
% 20.03/13.61 inference(monotonicity,[status(thm)],[16679])).
% 20.03/13.61 tff(16681,plain,
% 20.03/13.61 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~v94(constB134)) | v123(constB134, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134)))),
% 20.03/13.61 inference(transitivity,[status(thm)],[16680, 16678])).
% 20.03/13.61 tff(16682,plain,
% 20.03/13.61 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~v94(constB134)) | v123(constB134, bitIndex1))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16683,plain,
% 20.03/13.61 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16682, 16681])).
% 20.03/13.61 tff(16684,plain,
% 20.03/13.61 ((~v84(constB134, bitIndex1)) | (~v94(constB134))),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16683, 516, 16677])).
% 20.03/13.61 tff(16685,plain,
% 20.03/13.61 (~v84(constB134, bitIndex1)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16684, 16578])).
% 20.03/13.61 tff(16686,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16687,plain,
% 20.03/13.61 (((~nextState(constB134, constB135)) | v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1))) <=> (v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16688,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1))))),
% 20.03/13.61 inference(monotonicity,[status(thm)],[16687])).
% 20.03/13.61 tff(16689,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1)))),
% 20.03/13.61 inference(transitivity,[status(thm)],[16688, 16686])).
% 20.03/13.61 tff(16690,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16691,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16690, 16689])).
% 20.03/13.61 tff(16692,plain,
% 20.03/13.61 (v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1))),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16691, 142, 16636])).
% 20.03/13.61 tff(16693,plain,
% 20.03/13.61 (v84(constB134, bitIndex1) | (~v84(constB135, bitIndex1))),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16692, 16648])).
% 20.03/13.61 tff(16694,plain,
% 20.03/13.61 (~v84(constB135, bitIndex1)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16693, 16685])).
% 20.03/13.61 tff(16695,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB133, bitIndex0) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB133, bitIndex0) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16696,plain,
% 20.03/13.61 ((v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | v124(constB133, bitIndex0)) <=> (v124(constB133, bitIndex0) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16697,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | v124(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB133, bitIndex0) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133)))),
% 20.03/13.61 inference(monotonicity,[status(thm)],[16696])).
% 20.03/13.61 tff(16698,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | v124(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB133, bitIndex0) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133))),
% 20.03/13.61 inference(transitivity,[status(thm)],[16697, 16695])).
% 20.03/13.61 tff(16699,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | v124(constB133, bitIndex0))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16700,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB133, bitIndex0) | v172(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v115(constB133) | v113(constB133)),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16699, 16698])).
% 20.03/13.61 tff(16701,plain,
% 20.03/13.61 (v124(constB133, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16700, 2149, 16602, 16598, 16594, 16590, 16586, 16582])).
% 20.03/13.61 tff(16702,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB133) | (~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB133) | (~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16703,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB133) | (~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16704,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB133) | (~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0)),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 20.03/13.61 tff(16705,plain,
% 20.03/13.61 ((~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16704, 557, 16535])).
% 20.03/13.61 tff(16706,plain,
% 20.03/13.61 (v121(constB133, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16705, 16701])).
% 20.03/13.61 tff(16707,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16708,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16709,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0)),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16708, 16707])).
% 20.03/13.61 tff(16710,plain,
% 20.03/13.61 ((~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16709, 572, 16468])).
% 20.03/13.61 tff(16711,plain,
% 20.03/13.61 (v123(constB134, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16710, 16706])).
% 20.03/13.61 tff(16712,plain,
% 20.03/13.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16713,plain,
% 20.03/13.61 ((v84(constB134, bitIndex0) | (~v94(constB134)) | (~v123(constB134, bitIndex0))) <=> (v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16714,plain,
% 20.03/13.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v94(constB134)) | (~v123(constB134, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134))))),
% 20.03/13.61 inference(monotonicity,[status(thm)],[16713])).
% 20.03/13.61 tff(16715,plain,
% 20.03/13.61 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v94(constB134)) | (~v123(constB134, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134)))),
% 20.03/13.61 inference(transitivity,[status(thm)],[16714, 16712])).
% 20.03/13.61 tff(16716,plain,
% 20.03/13.61 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v94(constB134)) | (~v123(constB134, bitIndex0)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16717,plain,
% 20.03/13.61 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16716, 16715])).
% 20.03/13.61 tff(16718,plain,
% 20.03/13.61 (v84(constB134, bitIndex0) | (~v94(constB134))),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16717, 587, 16711])).
% 20.03/13.61 tff(16719,plain,
% 20.03/13.61 (v84(constB134, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16718, 16578])).
% 20.03/13.61 tff(16720,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16721,plain,
% 20.03/13.61 (((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0)) <=> ((~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16722,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0)))),
% 20.03/13.61 inference(monotonicity,[status(thm)],[16721])).
% 20.03/13.61 tff(16723,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0))),
% 20.03/13.61 inference(transitivity,[status(thm)],[16722, 16720])).
% 20.03/13.61 tff(16724,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16725,plain,
% 20.03/13.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0)),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16724, 16723])).
% 20.03/13.61 tff(16726,plain,
% 20.03/13.61 ((~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16725, 605, 16636])).
% 20.03/13.61 tff(16727,plain,
% 20.03/13.61 ((~v84(constB134, bitIndex0)) | v84(constB135, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16726, 16648])).
% 20.03/13.61 tff(16728,plain,
% 20.03/13.61 (v84(constB135, bitIndex0)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16727, 16719])).
% 20.03/13.61 tff(16729,plain,
% 20.03/13.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16730,plain,
% 20.03/13.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16731,plain,
% 20.03/13.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135)),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16730, 16729])).
% 20.03/13.61 tff(16732,plain,
% 20.03/13.61 (v145(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16731, 624, 16728, 16694, 16657])).
% 20.03/13.61 tff(16733,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB135) | (~v145(constB135)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB135) | (~v145(constB135)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16734,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB135) | (~v145(constB135)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16735,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB135) | (~v145(constB135))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16734, 16733])).
% 20.03/13.61 tff(16736,plain,
% 20.03/13.61 (v112(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16735, 681, 16732])).
% 20.03/13.61 tff(16737,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB135) | (~v112(constB135)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16738,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB135) | (~v112(constB135)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16739,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB135) | (~v112(constB135))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 20.03/13.61 tff(16740,plain,
% 20.03/13.61 (v111(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16739, 206, 16736])).
% 20.03/13.61 tff(16741,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB135) | (~v111(constB135)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB135) | (~v111(constB135)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16742,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB135) | (~v111(constB135)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16743,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB135) | (~v111(constB135))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 20.03/13.61 tff(16744,plain,
% 20.03/13.61 (v110(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16743, 217, 16740])).
% 20.03/13.61 tff(16745,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB135) | (~v110(constB135)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB135) | (~v110(constB135)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16746,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB135) | (~v110(constB135)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16747,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB135) | (~v110(constB135))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16746, 16745])).
% 20.03/13.61 tff(16748,plain,
% 20.03/13.61 (v109(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16747, 228, 16744])).
% 20.03/13.61 tff(16749,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB135) | (~v109(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB135) | (~v109(constB135)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16750,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB135) | (~v109(constB135)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16751,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB135) | (~v109(constB135))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16750, 16749])).
% 20.03/13.61 tff(16752,plain,
% 20.03/13.61 (v108(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16751, 239, 16748])).
% 20.03/13.61 tff(16753,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB135) | (~v108(constB135)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB135) | (~v108(constB135)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16754,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB135) | (~v108(constB135)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16755,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB135) | (~v108(constB135))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 20.03/13.61 tff(16756,plain,
% 20.03/13.61 (v107(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16755, 250, 16752])).
% 20.03/13.61 tff(16757,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | (~v107(constB135)) | v106(constB135))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16758,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16759,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | (~v107(constB135)) | v106(constB135)),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16758, 16757])).
% 20.03/13.61 tff(16760,plain,
% 20.03/13.61 (v26(constB135) | v106(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16759, 264, 16756])).
% 20.03/13.61 tff(16761,plain,
% 20.03/13.61 (v106(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16760, 25])).
% 20.03/13.61 tff(16762,plain,
% 20.03/13.61 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB135) | (~v106(constB135)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB135) | (~v106(constB135)))),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16763,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB135) | (~v106(constB135)))),
% 20.03/13.61 inference(quant_inst,[status(thm)],[])).
% 20.03/13.61 tff(16764,plain,
% 20.03/13.61 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB135) | (~v106(constB135))),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16763, 16762])).
% 20.03/13.61 tff(16765,plain,
% 20.03/13.61 (v102(constB135)),
% 20.03/13.61 inference(unit_resolution,[status(thm)],[16764, 276, 16761])).
% 20.03/13.61 tff(16766,plain,
% 20.03/13.61 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 20.03/13.61 inference(rewrite,[status(thm)],[])).
% 20.03/13.61 tff(16767,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 20.03/13.61 tff(16768,plain,
% 20.03/13.61 (nextState(constB135, constB136)),
% 20.03/13.61 inference(modus_ponens,[status(thm)],[16767, 16766])).
% 20.03/13.61 tff(16769,plain,
% 20.03/13.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16770,plain,
% 20.03/13.62 (((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16771,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))))),
% 20.03/13.62 inference(monotonicity,[status(thm)],[16770])).
% 20.03/13.62 tff(16772,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 20.03/13.62 inference(transitivity,[status(thm)],[16771, 16769])).
% 20.03/13.62 tff(16773,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16774,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16773, 16772])).
% 20.03/13.62 tff(16775,plain,
% 20.03/13.62 (v104(constB136) | (~v102(constB135))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16774, 293, 16768])).
% 20.03/13.62 tff(16776,plain,
% 20.03/13.62 (v104(constB136)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16775, 16765])).
% 20.03/13.62 tff(16777,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16778,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16779,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16778, 16777])).
% 20.03/13.62 tff(16780,plain,
% 20.03/13.62 (~v98(constB136)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16779, 311, 16768, 16633])).
% 20.03/13.62 tff(16781,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16782,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16783,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16782, 16781])).
% 20.03/13.62 tff(16784,plain,
% 20.03/13.62 (v96(constB136) | v98(constB136)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16783, 325, 16768])).
% 20.03/13.62 tff(16785,plain,
% 20.03/13.62 (v96(constB136)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16784, 16780])).
% 20.03/13.62 tff(16786,plain,
% 20.03/13.62 (v1(constB136) <=> v1(constB136)),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16787,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 20.03/13.62 tff(16788,plain,
% 20.03/13.62 (v1(constB136)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16787, 16786])).
% 20.03/13.62 tff(16789,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16790,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16791,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16790, 16789])).
% 20.03/13.62 tff(16792,plain,
% 20.03/13.62 (v95(constB136) | (~v96(constB136))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16791, 343, 16768, 16788])).
% 20.03/13.62 tff(16793,plain,
% 20.03/13.62 (v95(constB136)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16792, 16785])).
% 20.03/13.62 tff(16794,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16795,plain,
% 20.03/13.62 (((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136)) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16796,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136))))),
% 20.03/13.62 inference(monotonicity,[status(thm)],[16795])).
% 20.03/13.62 tff(16797,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 20.03/13.62 inference(transitivity,[status(thm)],[16796, 16794])).
% 20.03/13.62 tff(16798,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16799,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16798, 16797])).
% 20.03/13.62 tff(16800,plain,
% 20.03/13.62 (v94(constB136) | (~v95(constB136)) | (~v104(constB136))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16799, 358, 16768])).
% 20.03/13.62 tff(16801,plain,
% 20.03/13.62 (v94(constB136) | (~v104(constB136))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16800, 16793])).
% 20.03/13.62 tff(16802,plain,
% 20.03/13.62 (v94(constB136)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16801, 16776])).
% 20.03/13.62 tff(16803,plain,
% 20.03/13.62 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB135)) | (~v124(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB135)) | (~v124(constB135, bitIndex2)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16804,plain,
% 20.03/13.62 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB135)) | (~v124(constB135, bitIndex2)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16805,plain,
% 20.03/13.62 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB135)) | (~v124(constB135, bitIndex2))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16804, 16803])).
% 20.03/13.62 tff(16806,plain,
% 20.03/13.62 (~v124(constB135, bitIndex2)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16805, 638, 16732])).
% 20.03/13.62 tff(16807,plain,
% 20.03/13.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16808,plain,
% 20.03/13.62 ((v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2))) <=> ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16809,plain,
% 20.03/13.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2)))),
% 20.03/13.62 inference(monotonicity,[status(thm)],[16808])).
% 20.03/13.62 tff(16810,plain,
% 20.03/13.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 20.03/13.62 inference(transitivity,[status(thm)],[16809, 16807])).
% 20.03/13.62 tff(16811,plain,
% 20.03/13.62 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16812,plain,
% 20.03/13.62 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16811, 16810])).
% 20.03/13.62 tff(16813,plain,
% 20.03/13.62 ((~v121(constB135, bitIndex2)) | v26(constB135)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16812, 391, 16806])).
% 20.03/13.62 tff(16814,plain,
% 20.03/13.62 (~v121(constB135, bitIndex2)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16813, 25])).
% 20.03/13.62 tff(16815,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16816,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16817,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16816, 16815])).
% 20.03/13.62 tff(16818,plain,
% 20.03/13.62 (v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16817, 409, 16768])).
% 20.03/13.62 tff(16819,plain,
% 20.03/13.62 (~v123(constB136, bitIndex2)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16818, 16814])).
% 20.03/13.62 tff(16820,plain,
% 20.03/13.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16821,plain,
% 20.03/13.62 (((~v84(constB136, bitIndex2)) | (~v94(constB136)) | v123(constB136, bitIndex2)) <=> ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16822,plain,
% 20.03/13.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | (~v94(constB136)) | v123(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136))))),
% 20.03/13.62 inference(monotonicity,[status(thm)],[16821])).
% 20.03/13.62 tff(16823,plain,
% 20.03/13.62 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | (~v94(constB136)) | v123(constB136, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 20.03/13.62 inference(transitivity,[status(thm)],[16822, 16820])).
% 20.03/13.62 tff(16824,plain,
% 20.03/13.62 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB136, bitIndex2)) | (~v94(constB136)) | v123(constB136, bitIndex2))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16825,plain,
% 20.03/13.62 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16824, 16823])).
% 20.03/13.62 tff(16826,plain,
% 20.03/13.62 ((~v84(constB136, bitIndex2)) | (~v94(constB136))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16825, 424, 16819])).
% 20.03/13.62 tff(16827,plain,
% 20.03/13.62 (~v84(constB136, bitIndex2)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16826, 16802])).
% 20.03/13.62 tff(16828,plain,
% 20.03/13.62 ((~v1(constB137)) <=> (~v1(constB137))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16829,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 20.03/13.62 tff(16830,plain,
% 20.03/13.62 (~v1(constB137)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16829, 16828])).
% 20.03/13.62 tff(16831,plain,
% 20.03/13.62 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16832,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 20.03/13.62 tff(16833,plain,
% 20.03/13.62 (nextState(constB136, constB137)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16832, 16831])).
% 20.03/13.62 tff(16834,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16835,plain,
% 20.03/13.62 (((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16836,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))))),
% 20.03/13.62 inference(monotonicity,[status(thm)],[16835])).
% 20.03/13.62 tff(16837,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 20.03/13.62 inference(transitivity,[status(thm)],[16836, 16834])).
% 20.03/13.62 tff(16838,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16839,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16838, 16837])).
% 20.03/13.62 tff(16840,plain,
% 20.03/13.62 (~v95(constB137)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16839, 89, 16833, 16830])).
% 20.03/13.62 tff(16841,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16842,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16843,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 20.03/13.62 tff(16844,plain,
% 20.03/13.62 (v95(constB137) | (~v94(constB137))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16843, 106, 16833])).
% 20.03/13.62 tff(16845,plain,
% 20.03/13.62 (~v94(constB137)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16844, 16840])).
% 20.03/13.62 tff(16846,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16847,plain,
% 20.03/13.62 (((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2))) <=> (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16848,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2))))),
% 20.03/13.62 inference(monotonicity,[status(thm)],[16847])).
% 20.03/13.62 tff(16849,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 20.03/13.62 inference(transitivity,[status(thm)],[16848, 16846])).
% 20.03/13.62 tff(16850,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16851,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16850, 16849])).
% 20.03/13.62 tff(16852,plain,
% 20.03/13.62 (v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16851, 121, 16833])).
% 20.03/13.62 tff(16853,plain,
% 20.03/13.62 (v84(constB136, bitIndex2) | (~v84(constB137, bitIndex2))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16852, 16845])).
% 20.03/13.62 tff(16854,plain,
% 20.03/13.62 (~v84(constB137, bitIndex2)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16853, 16827])).
% 20.03/13.62 tff(16855,plain,
% 20.03/13.62 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB135)) | v124(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB135)) | v124(constB135, bitIndex1))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16856,plain,
% 20.03/13.62 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB135)) | v124(constB135, bitIndex1))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16857,plain,
% 20.03/13.62 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB135)) | v124(constB135, bitIndex1)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16856, 16855])).
% 20.03/13.62 tff(16858,plain,
% 20.03/13.62 (v124(constB135, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16857, 790, 16732])).
% 20.03/13.62 tff(16859,plain,
% 20.03/13.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB135) | (~v124(constB135, bitIndex1)) | v121(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB135) | (~v124(constB135, bitIndex1)) | v121(constB135, bitIndex1))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16860,plain,
% 20.03/13.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB135) | (~v124(constB135, bitIndex1)) | v121(constB135, bitIndex1))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16861,plain,
% 20.03/13.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB135) | (~v124(constB135, bitIndex1)) | v121(constB135, bitIndex1)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16860, 16859])).
% 20.03/13.62 tff(16862,plain,
% 20.03/13.62 (v26(constB135) | v121(constB135, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16861, 804, 16858])).
% 20.03/13.62 tff(16863,plain,
% 20.03/13.62 (v121(constB135, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16862, 25])).
% 20.03/13.62 tff(16864,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16865,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16866,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16865, 16864])).
% 20.03/13.62 tff(16867,plain,
% 20.03/13.62 ((~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16866, 819, 16768])).
% 20.03/13.62 tff(16868,plain,
% 20.03/13.62 (v123(constB136, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16867, 16863])).
% 20.03/13.62 tff(16869,plain,
% 20.03/13.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16870,plain,
% 20.03/13.62 ((v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1))) <=> (v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16871,plain,
% 20.03/13.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136))))),
% 20.03/13.62 inference(monotonicity,[status(thm)],[16870])).
% 20.03/13.62 tff(16872,plain,
% 20.03/13.62 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136)))),
% 20.03/13.62 inference(transitivity,[status(thm)],[16871, 16869])).
% 20.03/13.62 tff(16873,plain,
% 20.03/13.62 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16874,plain,
% 20.03/13.62 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 20.03/13.62 tff(16875,plain,
% 20.03/13.62 (v84(constB136, bitIndex1) | (~v94(constB136))),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16874, 834, 16868])).
% 20.03/13.62 tff(16876,plain,
% 20.03/13.62 (v84(constB136, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16875, 16802])).
% 20.03/13.62 tff(16877,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16878,plain,
% 20.03/13.62 (((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1)) <=> ((~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16879,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1)))),
% 20.03/13.62 inference(monotonicity,[status(thm)],[16878])).
% 20.03/13.62 tff(16880,plain,
% 20.03/13.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1))),
% 20.03/13.62 inference(transitivity,[status(thm)],[16879, 16877])).
% 20.03/13.62 tff(16881,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16882,plain,
% 20.03/13.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1)),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16881, 16880])).
% 20.03/13.62 tff(16883,plain,
% 20.03/13.62 ((~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16882, 852, 16833])).
% 20.03/13.62 tff(16884,plain,
% 20.03/13.62 ((~v84(constB136, bitIndex1)) | v84(constB137, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16883, 16845])).
% 20.03/13.62 tff(16885,plain,
% 20.03/13.62 (v84(constB137, bitIndex1)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16884, 16876])).
% 20.03/13.62 tff(16886,plain,
% 20.03/13.62 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB135)) | (~v124(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB135)) | (~v124(constB135, bitIndex0)))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16887,plain,
% 20.03/13.62 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB135)) | (~v124(constB135, bitIndex0)))),
% 20.03/13.62 inference(quant_inst,[status(thm)],[])).
% 20.03/13.62 tff(16888,plain,
% 20.03/13.62 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB135)) | (~v124(constB135, bitIndex0))),
% 20.03/13.62 inference(modus_ponens,[status(thm)],[16887, 16886])).
% 20.03/13.62 tff(16889,plain,
% 20.03/13.62 (~v124(constB135, bitIndex0)),
% 20.03/13.62 inference(unit_resolution,[status(thm)],[16888, 871, 16732])).
% 20.03/13.62 tff(16890,plain,
% 20.03/13.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16891,plain,
% 20.03/13.62 ((v26(constB135) | v124(constB135, bitIndex0) | (~v121(constB135, bitIndex0))) <=> ((~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0))),
% 20.03/13.62 inference(rewrite,[status(thm)],[])).
% 20.03/13.62 tff(16892,plain,
% 20.03/13.62 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB135) | v124(constB135, bitIndex0) | (~v121(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0)))),
% 20.03/13.63 inference(monotonicity,[status(thm)],[16891])).
% 20.03/13.63 tff(16893,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB135) | v124(constB135, bitIndex0) | (~v121(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0))),
% 20.03/13.63 inference(transitivity,[status(thm)],[16892, 16890])).
% 20.03/13.63 tff(16894,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB135) | v124(constB135, bitIndex0) | (~v121(constB135, bitIndex0)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16895,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16894, 16893])).
% 20.03/13.63 tff(16896,plain,
% 20.03/13.63 ((~v121(constB135, bitIndex0)) | v26(constB135)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16895, 885, 16889])).
% 20.03/13.63 tff(16897,plain,
% 20.03/13.63 (~v121(constB135, bitIndex0)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16896, 25])).
% 20.03/13.63 tff(16898,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16899,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16900,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 20.03/13.63 tff(16901,plain,
% 20.03/13.63 (v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16900, 903, 16768])).
% 20.03/13.63 tff(16902,plain,
% 20.03/13.63 (~v123(constB136, bitIndex0)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16901, 16897])).
% 20.03/13.63 tff(16903,plain,
% 20.03/13.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16904,plain,
% 20.03/13.63 (((~v84(constB136, bitIndex0)) | (~v94(constB136)) | v123(constB136, bitIndex0)) <=> ((~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16905,plain,
% 20.03/13.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~v94(constB136)) | v123(constB136, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136))))),
% 20.03/13.63 inference(monotonicity,[status(thm)],[16904])).
% 20.03/13.63 tff(16906,plain,
% 20.03/13.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~v94(constB136)) | v123(constB136, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136)))),
% 20.03/13.63 inference(transitivity,[status(thm)],[16905, 16903])).
% 20.03/13.63 tff(16907,plain,
% 20.03/13.63 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~v94(constB136)) | v123(constB136, bitIndex0))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16908,plain,
% 20.03/13.63 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16907, 16906])).
% 20.03/13.63 tff(16909,plain,
% 20.03/13.63 ((~v84(constB136, bitIndex0)) | (~v94(constB136))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16908, 918, 16902])).
% 20.03/13.63 tff(16910,plain,
% 20.03/13.63 (~v84(constB136, bitIndex0)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16909, 16802])).
% 20.03/13.63 tff(16911,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16912,plain,
% 20.03/13.63 (((~nextState(constB136, constB137)) | v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0))) <=> (v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16913,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0))))),
% 20.03/13.63 inference(monotonicity,[status(thm)],[16912])).
% 20.03/13.63 tff(16914,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0)))),
% 20.03/13.63 inference(transitivity,[status(thm)],[16913, 16911])).
% 20.03/13.63 tff(16915,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16916,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16915, 16914])).
% 20.03/13.63 tff(16917,plain,
% 20.03/13.63 (v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16916, 163, 16833])).
% 20.03/13.63 tff(16918,plain,
% 20.03/13.63 (v84(constB136, bitIndex0) | (~v84(constB137, bitIndex0))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16917, 16845])).
% 20.03/13.63 tff(16919,plain,
% 20.03/13.63 (~v84(constB137, bitIndex0)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16918, 16910])).
% 20.03/13.63 tff(16920,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16921,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16922,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16921, 16920])).
% 20.03/13.63 tff(16923,plain,
% 20.03/13.63 (v115(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16922, 945, 16919, 16885, 16854])).
% 20.03/13.63 tff(16924,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB137) | (~v115(constB137)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16925,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB137) | (~v115(constB137)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16926,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB137) | (~v115(constB137))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16925, 16924])).
% 20.03/13.63 tff(16927,plain,
% 20.03/13.63 (v111(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16926, 956, 16923])).
% 20.03/13.63 tff(16928,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB137) | (~v111(constB137)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB137) | (~v111(constB137)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16929,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB137) | (~v111(constB137)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16930,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB137) | (~v111(constB137))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16929, 16928])).
% 20.03/13.63 tff(16931,plain,
% 20.03/13.63 (v110(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16930, 217, 16927])).
% 20.03/13.63 tff(16932,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB137) | (~v110(constB137)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB137) | (~v110(constB137)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16933,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB137) | (~v110(constB137)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16934,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB137) | (~v110(constB137))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16933, 16932])).
% 20.03/13.63 tff(16935,plain,
% 20.03/13.63 (v109(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16934, 228, 16931])).
% 20.03/13.63 tff(16936,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB137) | (~v109(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB137) | (~v109(constB137)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16937,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB137) | (~v109(constB137)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16938,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB137) | (~v109(constB137))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16937, 16936])).
% 20.03/13.63 tff(16939,plain,
% 20.03/13.63 (v108(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16938, 239, 16935])).
% 20.03/13.63 tff(16940,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB137) | (~v108(constB137)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB137) | (~v108(constB137)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16941,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB137) | (~v108(constB137)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16942,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB137) | (~v108(constB137))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16941, 16940])).
% 20.03/13.63 tff(16943,plain,
% 20.03/13.63 (v107(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16942, 250, 16939])).
% 20.03/13.63 tff(16944,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | (~v107(constB137)) | v106(constB137))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16945,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16946,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | (~v107(constB137)) | v106(constB137)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16945, 16944])).
% 20.03/13.63 tff(16947,plain,
% 20.03/13.63 (v26(constB137) | v106(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16946, 264, 16943])).
% 20.03/13.63 tff(16948,plain,
% 20.03/13.63 (v106(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16947, 21])).
% 20.03/13.63 tff(16949,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB137) | (~v106(constB137)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB137) | (~v106(constB137)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16950,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB137) | (~v106(constB137)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16951,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB137) | (~v106(constB137))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 20.03/13.63 tff(16952,plain,
% 20.03/13.63 (v102(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16951, 276, 16948])).
% 20.03/13.63 tff(16953,plain,
% 20.03/13.63 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16954,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 20.03/13.63 tff(16955,plain,
% 20.03/13.63 (nextState(constB137, constB138)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 20.03/13.63 tff(16956,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16957,plain,
% 20.03/13.63 (((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16958,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))))),
% 20.03/13.63 inference(monotonicity,[status(thm)],[16957])).
% 20.03/13.63 tff(16959,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 20.03/13.63 inference(transitivity,[status(thm)],[16958, 16956])).
% 20.03/13.63 tff(16960,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16961,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16960, 16959])).
% 20.03/13.63 tff(16962,plain,
% 20.03/13.63 (v104(constB138) | (~v102(constB137))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16961, 293, 16955])).
% 20.03/13.63 tff(16963,plain,
% 20.03/13.63 (v104(constB138)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16962, 16952])).
% 20.03/13.63 tff(16964,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16965,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16966,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 20.03/13.63 tff(16967,plain,
% 20.03/13.63 (~v98(constB138)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16966, 311, 16955, 16830])).
% 20.03/13.63 tff(16968,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16969,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16970,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16969, 16968])).
% 20.03/13.63 tff(16971,plain,
% 20.03/13.63 (v96(constB138) | v98(constB138)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16970, 325, 16955])).
% 20.03/13.63 tff(16972,plain,
% 20.03/13.63 (v96(constB138)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16971, 16967])).
% 20.03/13.63 tff(16973,plain,
% 20.03/13.63 (v1(constB138) <=> v1(constB138)),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16974,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 20.03/13.63 tff(16975,plain,
% 20.03/13.63 (v1(constB138)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16974, 16973])).
% 20.03/13.63 tff(16976,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16977,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16978,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16977, 16976])).
% 20.03/13.63 tff(16979,plain,
% 20.03/13.63 (v95(constB138) | (~v96(constB138))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16978, 343, 16955, 16975])).
% 20.03/13.63 tff(16980,plain,
% 20.03/13.63 (v95(constB138)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16979, 16972])).
% 20.03/13.63 tff(16981,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16982,plain,
% 20.03/13.63 (((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138)) <=> ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16983,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138))))),
% 20.03/13.63 inference(monotonicity,[status(thm)],[16982])).
% 20.03/13.63 tff(16984,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 20.03/13.63 inference(transitivity,[status(thm)],[16983, 16981])).
% 20.03/13.63 tff(16985,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16986,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16985, 16984])).
% 20.03/13.63 tff(16987,plain,
% 20.03/13.63 (v94(constB138) | (~v95(constB138)) | (~v104(constB138))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16986, 358, 16955])).
% 20.03/13.63 tff(16988,plain,
% 20.03/13.63 (v94(constB138) | (~v104(constB138))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16987, 16980])).
% 20.03/13.63 tff(16989,plain,
% 20.03/13.63 (v94(constB138)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16988, 16963])).
% 20.03/13.63 tff(16990,plain,
% 20.03/13.63 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB137)) | (~v124(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB137)) | (~v124(constB137, bitIndex2)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16991,plain,
% 20.03/13.63 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB137)) | (~v124(constB137, bitIndex2)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16992,plain,
% 20.03/13.63 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB137)) | (~v124(constB137, bitIndex2))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16991, 16990])).
% 20.03/13.63 tff(16993,plain,
% 20.03/13.63 (~v124(constB137, bitIndex2)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16992, 1032, 16923])).
% 20.03/13.63 tff(16994,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16995,plain,
% 20.03/13.63 ((v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2))) <=> ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(16996,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2)))),
% 20.03/13.63 inference(monotonicity,[status(thm)],[16995])).
% 20.03/13.63 tff(16997,plain,
% 20.03/13.63 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 20.03/13.63 inference(transitivity,[status(thm)],[16996, 16994])).
% 20.03/13.63 tff(16998,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(16999,plain,
% 20.03/13.63 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[16998, 16997])).
% 20.03/13.63 tff(17000,plain,
% 20.03/13.63 ((~v121(constB137, bitIndex2)) | v26(constB137)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[16999, 391, 16993])).
% 20.03/13.63 tff(17001,plain,
% 20.03/13.63 (~v121(constB137, bitIndex2)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[17000, 21])).
% 20.03/13.63 tff(17002,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(17003,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(17004,plain,
% 20.03/13.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[17003, 17002])).
% 20.03/13.63 tff(17005,plain,
% 20.03/13.63 (v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[17004, 409, 16955])).
% 20.03/13.63 tff(17006,plain,
% 20.03/13.63 (~v123(constB138, bitIndex2)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[17005, 17001])).
% 20.03/13.63 tff(17007,plain,
% 20.03/13.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(17008,plain,
% 20.03/13.63 (((~v84(constB138, bitIndex2)) | (~v94(constB138)) | v123(constB138, bitIndex2)) <=> ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(17009,plain,
% 20.03/13.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | (~v94(constB138)) | v123(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138))))),
% 20.03/13.63 inference(monotonicity,[status(thm)],[17008])).
% 20.03/13.63 tff(17010,plain,
% 20.03/13.63 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | (~v94(constB138)) | v123(constB138, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 20.03/13.63 inference(transitivity,[status(thm)],[17009, 17007])).
% 20.03/13.63 tff(17011,plain,
% 20.03/13.63 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB138, bitIndex2)) | (~v94(constB138)) | v123(constB138, bitIndex2))),
% 20.03/13.63 inference(quant_inst,[status(thm)],[])).
% 20.03/13.63 tff(17012,plain,
% 20.03/13.63 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138))),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 20.03/13.63 tff(17013,plain,
% 20.03/13.63 ((~v84(constB138, bitIndex2)) | (~v94(constB138))),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[17012, 424, 17006])).
% 20.03/13.63 tff(17014,plain,
% 20.03/13.63 (~v84(constB138, bitIndex2)),
% 20.03/13.63 inference(unit_resolution,[status(thm)],[17013, 16989])).
% 20.03/13.63 tff(17015,plain,
% 20.03/13.63 ((~v1(constB139)) <=> (~v1(constB139))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(17016,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 20.03/13.63 tff(17017,plain,
% 20.03/13.63 (~v1(constB139)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[17016, 17015])).
% 20.03/13.63 tff(17018,plain,
% 20.03/13.63 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(17019,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 20.03/13.63 tff(17020,plain,
% 20.03/13.63 (nextState(constB138, constB139)),
% 20.03/13.63 inference(modus_ponens,[status(thm)],[17019, 17018])).
% 20.03/13.63 tff(17021,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(17022,plain,
% 20.03/13.63 (((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 20.03/13.63 inference(rewrite,[status(thm)],[])).
% 20.03/13.63 tff(17023,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))))),
% 20.03/13.63 inference(monotonicity,[status(thm)],[17022])).
% 20.03/13.63 tff(17024,plain,
% 20.03/13.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 20.03/13.63 inference(transitivity,[status(thm)],[17023, 17021])).
% 20.03/13.63 tff(17025,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17026,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 20.03/13.64 tff(17027,plain,
% 20.03/13.64 (~v95(constB139)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17026, 89, 17020, 17017])).
% 20.03/13.64 tff(17028,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17029,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17030,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17029, 17028])).
% 20.03/13.64 tff(17031,plain,
% 20.03/13.64 (v95(constB139) | (~v94(constB139))),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17030, 106, 17020])).
% 20.03/13.64 tff(17032,plain,
% 20.03/13.64 (~v94(constB139)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17031, 17027])).
% 20.03/13.64 tff(17033,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17034,plain,
% 20.03/13.64 (((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2))) <=> (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17035,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2))))),
% 20.03/13.64 inference(monotonicity,[status(thm)],[17034])).
% 20.03/13.64 tff(17036,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 20.03/13.64 inference(transitivity,[status(thm)],[17035, 17033])).
% 20.03/13.64 tff(17037,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17038,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17037, 17036])).
% 20.03/13.64 tff(17039,plain,
% 20.03/13.64 (v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2))),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17038, 121, 17020])).
% 20.03/13.64 tff(17040,plain,
% 20.03/13.64 (v84(constB138, bitIndex2) | (~v84(constB139, bitIndex2))),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17039, 17032])).
% 20.03/13.64 tff(17041,plain,
% 20.03/13.64 (~v84(constB139, bitIndex2)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17040, 17014])).
% 20.03/13.64 tff(17042,plain,
% 20.03/13.64 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB137)) | v124(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB137)) | v124(constB137, bitIndex1))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17043,plain,
% 20.03/13.64 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB137)) | v124(constB137, bitIndex1))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17044,plain,
% 20.03/13.64 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB137)) | v124(constB137, bitIndex1)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17043, 17042])).
% 20.03/13.64 tff(17045,plain,
% 20.03/13.64 (v124(constB137, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17044, 1094, 16923])).
% 20.03/13.64 tff(17046,plain,
% 20.03/13.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17047,plain,
% 20.03/13.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17048,plain,
% 20.03/13.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17047, 17046])).
% 20.03/13.64 tff(17049,plain,
% 20.03/13.64 (v26(constB137) | v121(constB137, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17048, 804, 17045])).
% 20.03/13.64 tff(17050,plain,
% 20.03/13.64 (v121(constB137, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17049, 21])).
% 20.03/13.64 tff(17051,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17052,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17053,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17052, 17051])).
% 20.03/13.64 tff(17054,plain,
% 20.03/13.64 ((~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17053, 819, 16955])).
% 20.03/13.64 tff(17055,plain,
% 20.03/13.64 (v123(constB138, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17054, 17050])).
% 20.03/13.64 tff(17056,plain,
% 20.03/13.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17057,plain,
% 20.03/13.64 ((v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1))) <=> (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17058,plain,
% 20.03/13.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138))))),
% 20.03/13.64 inference(monotonicity,[status(thm)],[17057])).
% 20.03/13.64 tff(17059,plain,
% 20.03/13.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 20.03/13.64 inference(transitivity,[status(thm)],[17058, 17056])).
% 20.03/13.64 tff(17060,plain,
% 20.03/13.64 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17061,plain,
% 20.03/13.64 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17060, 17059])).
% 20.03/13.64 tff(17062,plain,
% 20.03/13.64 (v84(constB138, bitIndex1) | (~v94(constB138))),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17061, 834, 17055])).
% 20.03/13.64 tff(17063,plain,
% 20.03/13.64 (v84(constB138, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17062, 16989])).
% 20.03/13.64 tff(17064,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17065,plain,
% 20.03/13.64 (((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1)) <=> ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17066,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1)))),
% 20.03/13.64 inference(monotonicity,[status(thm)],[17065])).
% 20.03/13.64 tff(17067,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 20.03/13.64 inference(transitivity,[status(thm)],[17066, 17064])).
% 20.03/13.64 tff(17068,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17069,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17068, 17067])).
% 20.03/13.64 tff(17070,plain,
% 20.03/13.64 ((~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17069, 852, 17020])).
% 20.03/13.64 tff(17071,plain,
% 20.03/13.64 ((~v84(constB138, bitIndex1)) | v84(constB139, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17070, 17032])).
% 20.03/13.64 tff(17072,plain,
% 20.03/13.64 (v84(constB139, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17071, 17063])).
% 20.03/13.64 tff(17073,plain,
% 20.03/13.64 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB137)) | v124(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB137)) | v124(constB137, bitIndex0))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17074,plain,
% 20.03/13.64 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB137)) | v124(constB137, bitIndex0))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17075,plain,
% 20.03/13.64 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB137)) | v124(constB137, bitIndex0)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17074, 17073])).
% 20.03/13.64 tff(17076,plain,
% 20.03/13.64 (v124(constB137, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17075, 1135, 16923])).
% 20.03/13.64 tff(17077,plain,
% 20.03/13.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB137) | (~v124(constB137, bitIndex0)) | v121(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB137) | (~v124(constB137, bitIndex0)) | v121(constB137, bitIndex0))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17078,plain,
% 20.03/13.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB137) | (~v124(constB137, bitIndex0)) | v121(constB137, bitIndex0))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17079,plain,
% 20.03/13.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB137) | (~v124(constB137, bitIndex0)) | v121(constB137, bitIndex0)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17078, 17077])).
% 20.03/13.64 tff(17080,plain,
% 20.03/13.64 (v26(constB137) | v121(constB137, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17079, 557, 17076])).
% 20.03/13.64 tff(17081,plain,
% 20.03/13.64 (v121(constB137, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17080, 21])).
% 20.03/13.64 tff(17082,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17083,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17084,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17083, 17082])).
% 20.03/13.64 tff(17085,plain,
% 20.03/13.64 ((~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17084, 572, 16955])).
% 20.03/13.64 tff(17086,plain,
% 20.03/13.64 (v123(constB138, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17085, 17081])).
% 20.03/13.64 tff(17087,plain,
% 20.03/13.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17088,plain,
% 20.03/13.64 ((v84(constB138, bitIndex0) | (~v94(constB138)) | (~v123(constB138, bitIndex0))) <=> (v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17089,plain,
% 20.03/13.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v94(constB138)) | (~v123(constB138, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138))))),
% 20.03/13.64 inference(monotonicity,[status(thm)],[17088])).
% 20.03/13.64 tff(17090,plain,
% 20.03/13.64 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v94(constB138)) | (~v123(constB138, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138)))),
% 20.03/13.64 inference(transitivity,[status(thm)],[17089, 17087])).
% 20.03/13.64 tff(17091,plain,
% 20.03/13.64 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v94(constB138)) | (~v123(constB138, bitIndex0)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17092,plain,
% 20.03/13.64 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17091, 17090])).
% 20.03/13.64 tff(17093,plain,
% 20.03/13.64 (v84(constB138, bitIndex0) | (~v94(constB138))),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17092, 587, 17086])).
% 20.03/13.64 tff(17094,plain,
% 20.03/13.64 (v84(constB138, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17093, 16989])).
% 20.03/13.64 tff(17095,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17096,plain,
% 20.03/13.64 (((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0)) <=> ((~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17097,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0)))),
% 20.03/13.64 inference(monotonicity,[status(thm)],[17096])).
% 20.03/13.64 tff(17098,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0))),
% 20.03/13.64 inference(transitivity,[status(thm)],[17097, 17095])).
% 20.03/13.64 tff(17099,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17100,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17099, 17098])).
% 20.03/13.64 tff(17101,plain,
% 20.03/13.64 ((~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17100, 605, 17020])).
% 20.03/13.64 tff(17102,plain,
% 20.03/13.64 ((~v84(constB138, bitIndex0)) | v84(constB139, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17101, 17032])).
% 20.03/13.64 tff(17103,plain,
% 20.03/13.64 (v84(constB139, bitIndex0)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17102, 17094])).
% 20.03/13.64 tff(17104,plain,
% 20.03/13.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17105,plain,
% 20.03/13.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17106,plain,
% 20.03/13.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17105, 17104])).
% 20.03/13.64 tff(17107,plain,
% 20.03/13.64 (v116(constB139)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17106, 1176, 17103, 17072, 17041])).
% 20.03/13.64 tff(17108,plain,
% 20.03/13.64 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB139)) | (~v124(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB139)) | (~v124(constB139, bitIndex1)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17109,plain,
% 20.03/13.64 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB139)) | (~v124(constB139, bitIndex1)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17110,plain,
% 20.03/13.64 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB139)) | (~v124(constB139, bitIndex1))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 20.03/13.64 tff(17111,plain,
% 20.03/13.64 (~v124(constB139, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17110, 1358, 17107])).
% 20.03/13.64 tff(17112,assumption,(v26(constB139)), introduced(assumption)).
% 20.03/13.64 tff(17113,plain,
% 20.03/13.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17114,plain,
% 20.03/13.64 ($false),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17113, 18, 17112])).
% 20.03/13.64 tff(17115,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.64 tff(17116,plain,
% 20.03/13.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17117,plain,
% 20.03/13.64 ((v26(constB139) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1))) <=> ((~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17118,plain,
% 20.03/13.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB139) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1)))),
% 20.03/13.64 inference(monotonicity,[status(thm)],[17117])).
% 20.03/13.64 tff(17119,plain,
% 20.03/13.64 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB139) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1))),
% 20.03/13.64 inference(transitivity,[status(thm)],[17118, 17116])).
% 20.03/13.64 tff(17120,plain,
% 20.03/13.64 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB139) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17121,plain,
% 20.03/13.64 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 20.03/13.64 tff(17122,plain,
% 20.03/13.64 ((~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17121, 483, 17115])).
% 20.03/13.64 tff(17123,plain,
% 20.03/13.64 (~v121(constB139, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17122, 17111])).
% 20.03/13.64 tff(17124,plain,
% 20.03/13.64 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17125,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 20.03/13.64 tff(17126,plain,
% 20.03/13.64 (nextState(constB139, constB140)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17125, 17124])).
% 20.03/13.64 tff(17127,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17128,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17129,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 20.03/13.64 tff(17130,plain,
% 20.03/13.64 (v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1))),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17129, 501, 17126])).
% 20.03/13.64 tff(17131,plain,
% 20.03/13.64 (~v123(constB140, bitIndex1)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17130, 17123])).
% 20.03/13.64 tff(17132,assumption,(~v84(constB139, bitIndex2)), introduced(assumption)).
% 20.03/13.64 tff(17133,assumption,(~v94(constB140)), introduced(assumption)).
% 20.03/13.64 tff(17134,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17135,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17136,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17135, 17134])).
% 20.03/13.64 tff(17137,plain,
% 20.03/13.64 (~v98(constB140)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17136, 311, 17126, 17017])).
% 20.03/13.64 tff(17138,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17139,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17140,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17139, 17138])).
% 20.03/13.64 tff(17141,plain,
% 20.03/13.64 (v96(constB140) | v98(constB140)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17140, 325, 17126])).
% 20.03/13.64 tff(17142,plain,
% 20.03/13.64 (v96(constB140)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17141, 17137])).
% 20.03/13.64 tff(17143,plain,
% 20.03/13.64 (v1(constB140) <=> v1(constB140)),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17144,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 20.03/13.64 tff(17145,plain,
% 20.03/13.64 (v1(constB140)),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17144, 17143])).
% 20.03/13.64 tff(17146,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17147,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 20.03/13.64 inference(quant_inst,[status(thm)],[])).
% 20.03/13.64 tff(17148,plain,
% 20.03/13.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140))),
% 20.03/13.64 inference(modus_ponens,[status(thm)],[17147, 17146])).
% 20.03/13.64 tff(17149,plain,
% 20.03/13.64 (v95(constB140) | (~v96(constB140))),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17148, 343, 17126, 17145])).
% 20.03/13.64 tff(17150,plain,
% 20.03/13.64 (v95(constB140)),
% 20.03/13.64 inference(unit_resolution,[status(thm)],[17149, 17142])).
% 20.03/13.64 tff(17151,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17152,plain,
% 20.03/13.64 (((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140)) <=> ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 20.03/13.64 inference(rewrite,[status(thm)],[])).
% 20.03/13.64 tff(17153,plain,
% 20.03/13.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140))))),
% 20.03/13.65 inference(monotonicity,[status(thm)],[17152])).
% 20.03/13.65 tff(17154,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 20.03/13.65 inference(transitivity,[status(thm)],[17153, 17151])).
% 20.03/13.65 tff(17155,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17156,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17155, 17154])).
% 20.03/13.65 tff(17157,plain,
% 20.03/13.65 (v94(constB140) | (~v95(constB140)) | (~v104(constB140))),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17156, 358, 17126])).
% 20.03/13.65 tff(17158,plain,
% 20.03/13.65 (v94(constB140) | (~v104(constB140))),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17157, 17150])).
% 20.03/13.65 tff(17159,plain,
% 20.03/13.65 (~v104(constB140)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17158, 17133])).
% 20.03/13.65 tff(17160,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17161,plain,
% 20.03/13.65 (((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17162,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))))),
% 20.03/13.65 inference(monotonicity,[status(thm)],[17161])).
% 20.03/13.65 tff(17163,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 20.03/13.65 inference(transitivity,[status(thm)],[17162, 17160])).
% 20.03/13.65 tff(17164,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17165,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17164, 17163])).
% 20.03/13.65 tff(17166,plain,
% 20.03/13.65 (v104(constB140) | (~v102(constB139))),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17165, 293, 17126])).
% 20.03/13.65 tff(17167,plain,
% 20.03/13.65 (~v102(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17166, 17159])).
% 20.03/13.65 tff(17168,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB139) | (~v106(constB139)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB139) | (~v106(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17169,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB139) | (~v106(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17170,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB139) | (~v106(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17169, 17168])).
% 20.03/13.65 tff(17171,plain,
% 20.03/13.65 (~v106(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17170, 276, 17167])).
% 20.03/13.65 tff(17172,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB139) | (~v26(constB139)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB139) | (~v26(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17173,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB139) | (~v26(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17174,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB139) | (~v26(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17173, 17172])).
% 20.03/13.65 tff(17175,plain,
% 20.03/13.65 (~v26(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17174, 670, 17167])).
% 20.03/13.65 tff(17176,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17177,plain,
% 20.03/13.65 ((v26(constB139) | (~v107(constB139)) | v106(constB139)) <=> (v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17178,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139))))),
% 20.03/13.65 inference(monotonicity,[status(thm)],[17177])).
% 20.03/13.65 tff(17179,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 20.03/13.65 inference(transitivity,[status(thm)],[17178, 17176])).
% 20.03/13.65 tff(17180,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17181,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17180, 17179])).
% 20.03/13.65 tff(17182,plain,
% 20.03/13.65 (~v107(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17181, 264, 17175, 17171])).
% 20.03/13.65 tff(17183,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB139) | (~v108(constB139)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB139) | (~v108(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17184,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB139) | (~v108(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17185,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB139) | (~v108(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17184, 17183])).
% 20.03/13.65 tff(17186,plain,
% 20.03/13.65 (~v108(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17185, 250, 17182])).
% 20.03/13.65 tff(17187,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB139) | (~v109(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB139) | (~v109(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17188,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB139) | (~v109(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17189,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB139) | (~v109(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17188, 17187])).
% 20.03/13.65 tff(17190,plain,
% 20.03/13.65 (~v109(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17189, 239, 17186])).
% 20.03/13.65 tff(17191,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB139) | (~v110(constB139)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB139) | (~v110(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17192,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB139) | (~v110(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17193,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB139) | (~v110(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17192, 17191])).
% 20.03/13.65 tff(17194,plain,
% 20.03/13.65 (~v110(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17193, 228, 17190])).
% 20.03/13.65 tff(17195,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB139) | (~v111(constB139)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB139) | (~v111(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17196,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB139) | (~v111(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17197,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB139) | (~v111(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17196, 17195])).
% 20.03/13.65 tff(17198,plain,
% 20.03/13.65 (~v111(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17197, 217, 17194])).
% 20.03/13.65 tff(17199,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB139) | (~v115(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17200,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB139) | (~v115(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17201,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB139) | (~v115(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 20.03/13.65 tff(17202,plain,
% 20.03/13.65 (~v115(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17201, 956, 17198])).
% 20.03/13.65 tff(17203,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB139) | (~v112(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17204,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB139) | (~v112(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17205,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB139) | (~v112(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 20.03/13.65 tff(17206,plain,
% 20.03/13.65 (~v112(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17205, 206, 17198])).
% 20.03/13.65 tff(17207,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB139) | (~v145(constB139)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB139) | (~v145(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17208,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB139) | (~v145(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17209,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB139) | (~v145(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17208, 17207])).
% 20.03/13.65 tff(17210,plain,
% 20.03/13.65 (~v145(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17209, 681, 17206])).
% 20.03/13.65 tff(17211,assumption,(~v84(constB140, bitIndex2)), introduced(assumption)).
% 20.03/13.65 tff(17212,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17213,plain,
% 20.03/13.65 (((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2)) <=> ((~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17214,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2)))),
% 20.03/13.65 inference(monotonicity,[status(thm)],[17213])).
% 20.03/13.65 tff(17215,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2))),
% 20.03/13.65 inference(transitivity,[status(thm)],[17214, 17212])).
% 20.03/13.65 tff(17216,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17217,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB139, bitIndex2)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex2)),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17216, 17215])).
% 20.03/13.65 tff(17218,plain,
% 20.03/13.65 ((~v84(constB139, bitIndex2)) | v94(constB140) | v84(constB140, bitIndex2)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17217, 1339, 17126])).
% 20.03/13.65 tff(17219,plain,
% 20.03/13.65 (~v84(constB139, bitIndex2)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17218, 17133, 17211])).
% 20.03/13.65 tff(17220,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB139) | (~v113(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17221,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB139) | (~v113(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17222,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB139) | (~v113(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17221, 17220])).
% 20.03/13.65 tff(17223,plain,
% 20.03/13.65 (~v113(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17222, 195, 17206])).
% 20.03/13.65 tff(17224,assumption,(~v113(constB139)), introduced(assumption)).
% 20.03/13.65 tff(17225,assumption,(~v84(constB139, bitIndex1)), introduced(assumption)).
% 20.03/13.65 tff(17226,assumption,(~v145(constB139)), introduced(assumption)).
% 20.03/13.65 tff(17227,plain,
% 20.03/13.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17228,plain,
% 20.03/13.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17229,plain,
% 20.03/13.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139)),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17228, 17227])).
% 20.03/13.65 tff(17230,plain,
% 20.03/13.65 ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v145(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17229, 624, 17132])).
% 20.03/13.65 tff(17231,plain,
% 20.03/13.65 (~v84(constB139, bitIndex0)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17230, 17225, 17226])).
% 20.03/13.65 tff(17232,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17233,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17234,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2)),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17233, 17232])).
% 20.03/13.65 tff(17235,plain,
% 20.03/13.65 (v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17234, 184, 17132])).
% 20.03/13.65 tff(17236,plain,
% 20.03/13.65 ($false),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17235, 17231, 17225, 17224])).
% 20.03/13.65 tff(17237,plain,(v84(constB139, bitIndex1) | v113(constB139) | v84(constB139, bitIndex2) | v145(constB139)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.65 tff(17238,plain,
% 20.03/13.65 (v84(constB139, bitIndex1)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17237, 17223, 17219, 17210])).
% 20.03/13.65 tff(17239,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB139) | (~v116(constB139)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17240,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB139) | (~v116(constB139)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17241,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB139) | (~v116(constB139))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 20.03/13.65 tff(17242,plain,
% 20.03/13.65 (~v116(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17241, 1187, 17194])).
% 20.03/13.65 tff(17243,plain,
% 20.03/13.65 ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v116(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17106, 1176, 17219])).
% 20.03/13.65 tff(17244,plain,
% 20.03/13.65 (~v84(constB139, bitIndex0)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17243, 17238, 17242])).
% 20.03/13.65 tff(17245,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17246,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17247,plain,
% 20.03/13.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139)),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17246, 17245])).
% 20.03/13.65 tff(17248,plain,
% 20.03/13.65 (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v115(constB139)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17247, 945, 17219])).
% 20.03/13.65 tff(17249,plain,
% 20.03/13.65 ($false),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17248, 17244, 17238, 17202])).
% 20.03/13.65 tff(17250,plain,(v94(constB140) | v84(constB140, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.65 tff(17251,plain,
% 20.03/13.65 (v84(constB140, bitIndex2)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17250, 17133])).
% 20.03/13.65 tff(17252,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17253,plain,
% 20.03/13.65 (((~nextState(constB139, constB140)) | v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2))) <=> (v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17254,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2))))),
% 20.03/13.65 inference(monotonicity,[status(thm)],[17253])).
% 20.03/13.65 tff(17255,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2)))),
% 20.03/13.65 inference(transitivity,[status(thm)],[17254, 17252])).
% 20.03/13.65 tff(17256,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17257,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 20.03/13.65 tff(17258,plain,
% 20.03/13.65 (v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2))),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17257, 121, 17126])).
% 20.03/13.65 tff(17259,plain,
% 20.03/13.65 ($false),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17258, 17251, 17133, 17132])).
% 20.03/13.65 tff(17260,plain,(v94(constB140) | v84(constB139, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.65 tff(17261,plain,
% 20.03/13.65 (v94(constB140)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17260, 17041])).
% 20.03/13.65 tff(17262,plain,
% 20.03/13.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17263,plain,
% 20.03/13.65 (((~v84(constB140, bitIndex1)) | (~v94(constB140)) | v123(constB140, bitIndex1)) <=> ((~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17264,plain,
% 20.03/13.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~v94(constB140)) | v123(constB140, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140))))),
% 20.03/13.65 inference(monotonicity,[status(thm)],[17263])).
% 20.03/13.65 tff(17265,plain,
% 20.03/13.65 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~v94(constB140)) | v123(constB140, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140)))),
% 20.03/13.65 inference(transitivity,[status(thm)],[17264, 17262])).
% 20.03/13.65 tff(17266,plain,
% 20.03/13.65 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~v94(constB140)) | v123(constB140, bitIndex1))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17267,plain,
% 20.03/13.65 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17266, 17265])).
% 20.03/13.65 tff(17268,plain,
% 20.03/13.65 ((~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17267, 516, 17261])).
% 20.03/13.65 tff(17269,plain,
% 20.03/13.65 (~v84(constB140, bitIndex1)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17268, 17131])).
% 20.03/13.65 tff(17270,plain,
% 20.03/13.65 ((~v1(constB141)) <=> (~v1(constB141))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17271,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 20.03/13.65 tff(17272,plain,
% 20.03/13.65 (~v1(constB141)),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17271, 17270])).
% 20.03/13.65 tff(17273,plain,
% 20.03/13.65 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17274,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 20.03/13.65 tff(17275,plain,
% 20.03/13.65 (nextState(constB140, constB141)),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 20.03/13.65 tff(17276,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17277,plain,
% 20.03/13.65 (((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17278,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))))),
% 20.03/13.65 inference(monotonicity,[status(thm)],[17277])).
% 20.03/13.65 tff(17279,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 20.03/13.65 inference(transitivity,[status(thm)],[17278, 17276])).
% 20.03/13.65 tff(17280,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17281,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17280, 17279])).
% 20.03/13.65 tff(17282,plain,
% 20.03/13.65 (~v95(constB141)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17281, 89, 17275, 17272])).
% 20.03/13.65 tff(17283,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17284,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17285,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17284, 17283])).
% 20.03/13.65 tff(17286,plain,
% 20.03/13.65 (v95(constB141) | (~v94(constB141))),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17285, 106, 17275])).
% 20.03/13.65 tff(17287,plain,
% 20.03/13.65 (~v94(constB141)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17286, 17282])).
% 20.03/13.65 tff(17288,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17289,plain,
% 20.03/13.65 (((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1))) <=> (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17290,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1))))),
% 20.03/13.65 inference(monotonicity,[status(thm)],[17289])).
% 20.03/13.65 tff(17291,plain,
% 20.03/13.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 20.03/13.65 inference(transitivity,[status(thm)],[17290, 17288])).
% 20.03/13.65 tff(17292,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17293,plain,
% 20.03/13.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17292, 17291])).
% 20.03/13.65 tff(17294,plain,
% 20.03/13.65 (v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1))),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17293, 142, 17275])).
% 20.03/13.65 tff(17295,plain,
% 20.03/13.65 (v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1))),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17294, 17287])).
% 20.03/13.65 tff(17296,plain,
% 20.03/13.65 (~v84(constB141, bitIndex1)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17295, 17269])).
% 20.03/13.65 tff(17297,plain,
% 20.03/13.65 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB139)) | (~v124(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB139)) | (~v124(constB139, bitIndex0)))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17298,plain,
% 20.03/13.65 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB139)) | (~v124(constB139, bitIndex0)))),
% 20.03/13.65 inference(quant_inst,[status(thm)],[])).
% 20.03/13.65 tff(17299,plain,
% 20.03/13.65 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB139)) | (~v124(constB139, bitIndex0))),
% 20.03/13.65 inference(modus_ponens,[status(thm)],[17298, 17297])).
% 20.03/13.65 tff(17300,plain,
% 20.03/13.65 (~v124(constB139, bitIndex0)),
% 20.03/13.65 inference(unit_resolution,[status(thm)],[17299, 1402, 17107])).
% 20.03/13.65 tff(17301,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17302,plain,
% 20.03/13.65 ((v26(constB139) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0))) <=> ((~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0))),
% 20.03/13.65 inference(rewrite,[status(thm)],[])).
% 20.03/13.65 tff(17303,plain,
% 20.03/13.65 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB139) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0)))),
% 20.03/13.66 inference(monotonicity,[status(thm)],[17302])).
% 20.03/13.66 tff(17304,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB139) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0))),
% 20.03/13.66 inference(transitivity,[status(thm)],[17303, 17301])).
% 20.03/13.66 tff(17305,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB139) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17306,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17305, 17304])).
% 20.03/13.66 tff(17307,plain,
% 20.03/13.66 ((~v121(constB139, bitIndex0)) | v124(constB139, bitIndex0)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17306, 885, 17115])).
% 20.03/13.66 tff(17308,plain,
% 20.03/13.66 (~v121(constB139, bitIndex0)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17307, 17300])).
% 20.03/13.66 tff(17309,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17310,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17311,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17310, 17309])).
% 20.03/13.66 tff(17312,plain,
% 20.03/13.66 (v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0))),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17311, 903, 17126])).
% 20.03/13.66 tff(17313,plain,
% 20.03/13.66 (~v123(constB140, bitIndex0)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17312, 17308])).
% 20.03/13.66 tff(17314,plain,
% 20.03/13.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17315,plain,
% 20.03/13.66 (((~v84(constB140, bitIndex0)) | (~v94(constB140)) | v123(constB140, bitIndex0)) <=> ((~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17316,plain,
% 20.03/13.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~v94(constB140)) | v123(constB140, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140))))),
% 20.03/13.66 inference(monotonicity,[status(thm)],[17315])).
% 20.03/13.66 tff(17317,plain,
% 20.03/13.66 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~v94(constB140)) | v123(constB140, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140)))),
% 20.03/13.66 inference(transitivity,[status(thm)],[17316, 17314])).
% 20.03/13.66 tff(17318,plain,
% 20.03/13.66 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~v94(constB140)) | v123(constB140, bitIndex0))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17319,plain,
% 20.03/13.66 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17318, 17317])).
% 20.03/13.66 tff(17320,plain,
% 20.03/13.66 ((~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17319, 918, 17261])).
% 20.03/13.66 tff(17321,plain,
% 20.03/13.66 (~v84(constB140, bitIndex0)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17320, 17313])).
% 20.03/13.66 tff(17322,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17323,plain,
% 20.03/13.66 (((~nextState(constB140, constB141)) | v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0))) <=> (v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17324,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0))))),
% 20.03/13.66 inference(monotonicity,[status(thm)],[17323])).
% 20.03/13.66 tff(17325,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0)))),
% 20.03/13.66 inference(transitivity,[status(thm)],[17324, 17322])).
% 20.03/13.66 tff(17326,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17327,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17326, 17325])).
% 20.03/13.66 tff(17328,plain,
% 20.03/13.66 (v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0))),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17327, 163, 17275])).
% 20.03/13.66 tff(17329,plain,
% 20.03/13.66 (v84(constB140, bitIndex0) | (~v84(constB141, bitIndex0))),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17328, 17287])).
% 20.03/13.66 tff(17330,plain,
% 20.03/13.66 (~v84(constB141, bitIndex0)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17329, 17321])).
% 20.03/13.66 tff(17331,assumption,(~v109(constB141)), introduced(assumption)).
% 20.03/13.66 tff(17332,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB141) | (~v110(constB141)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB141) | (~v110(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17333,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB141) | (~v110(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17334,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB141) | (~v110(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17333, 17332])).
% 20.03/13.66 tff(17335,plain,
% 20.03/13.66 (~v110(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17334, 228, 17331])).
% 20.03/13.66 tff(17336,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB141) | (~v111(constB141)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB141) | (~v111(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17337,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB141) | (~v111(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17338,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB141) | (~v111(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 20.03/13.66 tff(17339,plain,
% 20.03/13.66 (~v111(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17338, 217, 17335])).
% 20.03/13.66 tff(17340,assumption,(~v84(constB141, bitIndex1)), introduced(assumption)).
% 20.03/13.66 tff(17341,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB141) | (~v172(constB141)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB141) | (~v172(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17342,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB141) | (~v172(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17343,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB141) | (~v172(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 20.03/13.66 tff(17344,plain,
% 20.03/13.66 (~v172(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17343, 1457, 17331])).
% 20.03/13.66 tff(17345,assumption,(~v84(constB141, bitIndex0)), introduced(assumption)).
% 20.03/13.66 tff(17346,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17347,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17348,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17347, 17346])).
% 20.03/13.66 tff(17349,plain,
% 20.03/13.66 (v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17348, 1446, 17345])).
% 20.03/13.66 tff(17350,plain,
% 20.03/13.66 (~v84(constB141, bitIndex2)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17349, 17344, 17340])).
% 20.03/13.66 tff(17351,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB141) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB141) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17352,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB141) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17353,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB141) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17352, 17351])).
% 20.03/13.66 tff(17354,plain,
% 20.03/13.66 (v113(constB141) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17353, 184, 17345])).
% 20.03/13.66 tff(17355,plain,
% 20.03/13.66 (v113(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17354, 17350, 17340])).
% 20.03/13.66 tff(17356,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB141) | (~v113(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17357,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB141) | (~v113(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17358,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB141) | (~v113(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17357, 17356])).
% 20.03/13.66 tff(17359,plain,
% 20.03/13.66 (v112(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17358, 195, 17355])).
% 20.03/13.66 tff(17360,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB141) | (~v112(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17361,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB141) | (~v112(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17362,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB141) | (~v112(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17361, 17360])).
% 20.03/13.66 tff(17363,plain,
% 20.03/13.66 ($false),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17362, 206, 17359, 17339])).
% 20.03/13.66 tff(17364,plain,(v109(constB141) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.66 tff(17365,plain,
% 20.03/13.66 (v109(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17364, 17330, 17296])).
% 20.03/13.66 tff(17366,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB141) | (~v109(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB141) | (~v109(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17367,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB141) | (~v109(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17368,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB141) | (~v109(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17367, 17366])).
% 20.03/13.66 tff(17369,plain,
% 20.03/13.66 (v108(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17368, 239, 17365])).
% 20.03/13.66 tff(17370,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB141) | (~v108(constB141)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB141) | (~v108(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17371,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB141) | (~v108(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17372,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB141) | (~v108(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17371, 17370])).
% 20.03/13.66 tff(17373,plain,
% 20.03/13.66 (v107(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17372, 250, 17369])).
% 20.03/13.66 tff(17374,assumption,(~v102(constB141)), introduced(assumption)).
% 20.03/13.66 tff(17375,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB141) | (~v106(constB141)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB141) | (~v106(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17376,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB141) | (~v106(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17377,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB141) | (~v106(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17376, 17375])).
% 20.03/13.66 tff(17378,plain,
% 20.03/13.66 (~v106(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17377, 276, 17374])).
% 20.03/13.66 tff(17379,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB141) | (~v26(constB141)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB141) | (~v26(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17380,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB141) | (~v26(constB141)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17381,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB141) | (~v26(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17380, 17379])).
% 20.03/13.66 tff(17382,plain,
% 20.03/13.66 (~v26(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17381, 670, 17374])).
% 20.03/13.66 tff(17383,assumption,(v107(constB141)), introduced(assumption)).
% 20.03/13.66 tff(17384,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17385,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17386,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | (~v107(constB141)) | v106(constB141)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17385, 17384])).
% 20.03/13.66 tff(17387,plain,
% 20.03/13.66 (v26(constB141) | v106(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17386, 264, 17383])).
% 20.03/13.66 tff(17388,plain,
% 20.03/13.66 ($false),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17387, 17382, 17378])).
% 20.03/13.66 tff(17389,plain,(v102(constB141) | (~v107(constB141))), inference(lemma,lemma(discharge,[]))).
% 20.03/13.66 tff(17390,plain,
% 20.03/13.66 (v102(constB141)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17389, 17373])).
% 20.03/13.66 tff(17391,plain,
% 20.03/13.66 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17392,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 20.03/13.66 tff(17393,plain,
% 20.03/13.66 (nextState(constB141, constB142)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17392, 17391])).
% 20.03/13.66 tff(17394,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17395,plain,
% 20.03/13.66 (((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17396,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))))),
% 20.03/13.66 inference(monotonicity,[status(thm)],[17395])).
% 20.03/13.66 tff(17397,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 20.03/13.66 inference(transitivity,[status(thm)],[17396, 17394])).
% 20.03/13.66 tff(17398,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17399,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17398, 17397])).
% 20.03/13.66 tff(17400,plain,
% 20.03/13.66 (v104(constB142) | (~v102(constB141))),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17399, 293, 17393])).
% 20.03/13.66 tff(17401,plain,
% 20.03/13.66 (v104(constB142)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17400, 17390])).
% 20.03/13.66 tff(17402,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17403,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17404,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17403, 17402])).
% 20.03/13.66 tff(17405,plain,
% 20.03/13.66 (~v98(constB142)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17404, 311, 17393, 17272])).
% 20.03/13.66 tff(17406,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17407,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17408,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17407, 17406])).
% 20.03/13.66 tff(17409,plain,
% 20.03/13.66 (v96(constB142) | v98(constB142)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17408, 325, 17393])).
% 20.03/13.66 tff(17410,plain,
% 20.03/13.66 (v96(constB142)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17409, 17405])).
% 20.03/13.66 tff(17411,plain,
% 20.03/13.66 (v1(constB142) <=> v1(constB142)),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17412,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 20.03/13.66 tff(17413,plain,
% 20.03/13.66 (v1(constB142)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17412, 17411])).
% 20.03/13.66 tff(17414,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17415,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17416,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17415, 17414])).
% 20.03/13.66 tff(17417,plain,
% 20.03/13.66 (v95(constB142) | (~v96(constB142))),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17416, 343, 17393, 17413])).
% 20.03/13.66 tff(17418,plain,
% 20.03/13.66 (v95(constB142)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17417, 17410])).
% 20.03/13.66 tff(17419,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17420,plain,
% 20.03/13.66 (((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142)) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17421,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142))))),
% 20.03/13.66 inference(monotonicity,[status(thm)],[17420])).
% 20.03/13.66 tff(17422,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 20.03/13.66 inference(transitivity,[status(thm)],[17421, 17419])).
% 20.03/13.66 tff(17423,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17424,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17423, 17422])).
% 20.03/13.66 tff(17425,plain,
% 20.03/13.66 (v94(constB142) | (~v95(constB142)) | (~v104(constB142))),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17424, 358, 17393])).
% 20.03/13.66 tff(17426,plain,
% 20.03/13.66 (v94(constB142) | (~v104(constB142))),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17425, 17418])).
% 20.03/13.66 tff(17427,plain,
% 20.03/13.66 (v94(constB142)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17426, 17401])).
% 20.03/13.66 tff(17428,plain,
% 20.03/13.66 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB139)) | v124(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB139)) | v124(constB139, bitIndex2))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17429,plain,
% 20.03/13.66 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB139)) | v124(constB139, bitIndex2))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17430,plain,
% 20.03/13.66 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB139)) | v124(constB139, bitIndex2)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 20.03/13.66 tff(17431,plain,
% 20.03/13.66 (v124(constB139, bitIndex2)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17430, 1259, 17107])).
% 20.03/13.66 tff(17432,plain,
% 20.03/13.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17433,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17434,plain,
% 20.03/13.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17433, 17432])).
% 20.03/13.66 tff(17435,plain,
% 20.03/13.66 ((~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17434, 1273, 17115])).
% 20.03/13.66 tff(17436,plain,
% 20.03/13.66 (v121(constB139, bitIndex2)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17435, 17431])).
% 20.03/13.66 tff(17437,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17438,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17439,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17438, 17437])).
% 20.03/13.66 tff(17440,plain,
% 20.03/13.66 ((~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17439, 1288, 17126])).
% 20.03/13.66 tff(17441,plain,
% 20.03/13.66 (v123(constB140, bitIndex2)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17440, 17436])).
% 20.03/13.66 tff(17442,plain,
% 20.03/13.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17443,plain,
% 20.03/13.66 ((v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2))) <=> (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17444,plain,
% 20.03/13.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140))))),
% 20.03/13.66 inference(monotonicity,[status(thm)],[17443])).
% 20.03/13.66 tff(17445,plain,
% 20.03/13.66 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 20.03/13.66 inference(transitivity,[status(thm)],[17444, 17442])).
% 20.03/13.66 tff(17446,plain,
% 20.03/13.66 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17447,plain,
% 20.03/13.66 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140))),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17446, 17445])).
% 20.03/13.66 tff(17448,plain,
% 20.03/13.66 (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2))),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17447, 1303, 17261])).
% 20.03/13.66 tff(17449,plain,
% 20.03/13.66 (v84(constB140, bitIndex2)),
% 20.03/13.66 inference(unit_resolution,[status(thm)],[17448, 17441])).
% 20.03/13.66 tff(17450,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17451,plain,
% 20.03/13.66 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2)) <=> ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 20.03/13.66 inference(rewrite,[status(thm)],[])).
% 20.03/13.66 tff(17452,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2)))),
% 20.03/13.66 inference(monotonicity,[status(thm)],[17451])).
% 20.03/13.66 tff(17453,plain,
% 20.03/13.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 20.03/13.66 inference(transitivity,[status(thm)],[17452, 17450])).
% 20.03/13.66 tff(17454,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))),
% 20.03/13.66 inference(quant_inst,[status(thm)],[])).
% 20.03/13.66 tff(17455,plain,
% 20.03/13.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2)),
% 20.03/13.66 inference(modus_ponens,[status(thm)],[17454, 17453])).
% 20.03/13.66 tff(17456,plain,
% 20.03/13.66 ((~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17455, 1339, 17275])).
% 20.03/13.67 tff(17457,plain,
% 20.03/13.67 ((~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17456, 17287])).
% 20.03/13.67 tff(17458,plain,
% 20.03/13.67 (v84(constB141, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17457, 17449])).
% 20.03/13.67 tff(17459,plain,
% 20.03/13.67 (v172(constB141)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17348, 1446, 17330, 17296, 17458])).
% 20.03/13.67 tff(17460,plain,
% 20.03/13.67 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB141)) | v124(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB141)) | v124(constB141, bitIndex2))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17461,plain,
% 20.03/13.67 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB141)) | v124(constB141, bitIndex2))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17462,plain,
% 20.03/13.67 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB141)) | v124(constB141, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17461, 17460])).
% 20.03/13.67 tff(17463,plain,
% 20.03/13.67 (v124(constB141, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17462, 1528, 17459])).
% 20.03/13.67 tff(17464,assumption,(v26(constB141)), introduced(assumption)).
% 20.03/13.67 tff(17465,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17466,plain,
% 20.03/13.67 ($false),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17465, 18, 17464])).
% 20.03/13.67 tff(17467,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.67 tff(17468,plain,
% 20.03/13.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17469,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17470,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17469, 17468])).
% 20.03/13.67 tff(17471,plain,
% 20.03/13.67 ((~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17470, 1273, 17467])).
% 20.03/13.67 tff(17472,plain,
% 20.03/13.67 (v121(constB141, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17471, 17463])).
% 20.03/13.67 tff(17473,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17474,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17475,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 20.03/13.67 tff(17476,plain,
% 20.03/13.67 ((~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17475, 1288, 17393])).
% 20.03/13.67 tff(17477,plain,
% 20.03/13.67 (v123(constB142, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17476, 17472])).
% 20.03/13.67 tff(17478,plain,
% 20.03/13.67 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17479,plain,
% 20.03/13.67 ((v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2))) <=> (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17480,plain,
% 20.03/13.67 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142))))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17479])).
% 20.03/13.67 tff(17481,plain,
% 20.03/13.67 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 20.03/13.67 inference(transitivity,[status(thm)],[17480, 17478])).
% 20.03/13.67 tff(17482,plain,
% 20.03/13.67 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17483,plain,
% 20.03/13.67 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142))),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 20.03/13.67 tff(17484,plain,
% 20.03/13.67 (v84(constB142, bitIndex2) | (~v94(constB142))),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17483, 1303, 17477])).
% 20.03/13.67 tff(17485,plain,
% 20.03/13.67 (v84(constB142, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17484, 17427])).
% 20.03/13.67 tff(17486,plain,
% 20.03/13.67 ((~v1(constB143)) <=> (~v1(constB143))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17487,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 20.03/13.67 tff(17488,plain,
% 20.03/13.67 (~v1(constB143)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17487, 17486])).
% 20.03/13.67 tff(17489,plain,
% 20.03/13.67 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17490,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 20.03/13.67 tff(17491,plain,
% 20.03/13.67 (nextState(constB142, constB143)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 20.03/13.67 tff(17492,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17493,plain,
% 20.03/13.67 (((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17494,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17493])).
% 20.03/13.67 tff(17495,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 20.03/13.67 inference(transitivity,[status(thm)],[17494, 17492])).
% 20.03/13.67 tff(17496,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17497,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 20.03/13.67 tff(17498,plain,
% 20.03/13.67 (~v95(constB143)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17497, 89, 17491, 17488])).
% 20.03/13.67 tff(17499,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17500,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17501,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143))),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17500, 17499])).
% 20.03/13.67 tff(17502,plain,
% 20.03/13.67 (v95(constB143) | (~v94(constB143))),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17501, 106, 17491])).
% 20.03/13.67 tff(17503,plain,
% 20.03/13.67 (~v94(constB143)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17502, 17498])).
% 20.03/13.67 tff(17504,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17505,plain,
% 20.03/13.67 (((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2)) <=> ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17506,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2)))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17505])).
% 20.03/13.67 tff(17507,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 20.03/13.67 inference(transitivity,[status(thm)],[17506, 17504])).
% 20.03/13.67 tff(17508,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17509,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 20.03/13.67 tff(17510,plain,
% 20.03/13.67 ((~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17509, 1339, 17491])).
% 20.03/13.67 tff(17511,plain,
% 20.03/13.67 ((~v84(constB142, bitIndex2)) | v84(constB143, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17510, 17503])).
% 20.03/13.67 tff(17512,plain,
% 20.03/13.67 (v84(constB143, bitIndex2)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17511, 17485])).
% 20.03/13.67 tff(17513,plain,
% 20.03/13.67 ($false),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17512, 10])).
% 20.03/13.67 tff(17514,plain,((~(constB143 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.67 tff(17515,plain,
% 20.03/13.67 (~(constB143 = sK0_VarCurr)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17514, 5])).
% 20.03/13.67 tff(17516,assumption,(constB35 = sK0_VarCurr), introduced(assumption)).
% 20.03/13.67 tff(17517,plain,
% 20.03/13.67 (v84(constB35, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17516])).
% 20.03/13.67 tff(17518,plain,
% 20.03/13.67 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB35, bitIndex2)),
% 20.03/13.67 inference(symmetry,[status(thm)],[17517])).
% 20.03/13.67 tff(17519,plain,
% 20.03/13.67 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB35, bitIndex2))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17518])).
% 20.03/13.67 tff(17520,plain,
% 20.03/13.67 (~v84(constB35, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[5, 17519])).
% 20.03/13.67 tff(17521,plain,
% 20.03/13.67 ($false),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[4236, 17520])).
% 20.03/13.67 tff(17522,plain,((~(constB35 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.67 tff(17523,plain,
% 20.03/13.67 (~(constB35 = sK0_VarCurr)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17522, 5])).
% 20.03/13.67 tff(17524,assumption,(constB37 = sK0_VarCurr), introduced(assumption)).
% 20.03/13.67 tff(17525,plain,
% 20.03/13.67 (v84(constB37, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17524])).
% 20.03/13.67 tff(17526,plain,
% 20.03/13.67 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB37, bitIndex2)),
% 20.03/13.67 inference(symmetry,[status(thm)],[17525])).
% 20.03/13.67 tff(17527,plain,
% 20.03/13.67 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB37, bitIndex2))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17526])).
% 20.03/13.67 tff(17528,plain,
% 20.03/13.67 (~v84(constB37, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[5, 17527])).
% 20.03/13.67 tff(17529,plain,
% 20.03/13.67 ($false),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[4417, 17528])).
% 20.03/13.67 tff(17530,plain,((~(constB37 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.67 tff(17531,plain,
% 20.03/13.67 (~(constB37 = sK0_VarCurr)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17530, 5])).
% 20.03/13.67 tff(17532,assumption,(constB81 = sK0_VarCurr), introduced(assumption)).
% 20.03/13.67 tff(17533,plain,
% 20.03/13.67 (v84(constB81, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17532])).
% 20.03/13.67 tff(17534,plain,
% 20.03/13.67 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB81, bitIndex2)),
% 20.03/13.67 inference(symmetry,[status(thm)],[17533])).
% 20.03/13.67 tff(17535,plain,
% 20.03/13.67 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB81, bitIndex2))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17534])).
% 20.03/13.67 tff(17536,plain,
% 20.03/13.67 (~v84(constB81, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[5, 17535])).
% 20.03/13.67 tff(17537,plain,
% 20.03/13.67 ($false),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[9138, 17536])).
% 20.03/13.67 tff(17538,plain,((~(constB81 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.67 tff(17539,plain,
% 20.03/13.67 (~(constB81 = sK0_VarCurr)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17538, 5])).
% 20.03/13.67 tff(17540,assumption,(constB33 = sK0_VarCurr), introduced(assumption)).
% 20.03/13.67 tff(17541,plain,
% 20.03/13.67 (v84(constB33, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17540])).
% 20.03/13.67 tff(17542,plain,
% 20.03/13.67 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB33, bitIndex2)),
% 20.03/13.67 inference(symmetry,[status(thm)],[17541])).
% 20.03/13.67 tff(17543,plain,
% 20.03/13.67 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB33, bitIndex2))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17542])).
% 20.03/13.67 tff(17544,plain,
% 20.03/13.67 (~v84(constB33, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[5, 17543])).
% 20.03/13.67 tff(17545,plain,
% 20.03/13.67 ($false),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[4057, 17544])).
% 20.03/13.67 tff(17546,plain,((~(constB33 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.67 tff(17547,plain,
% 20.03/13.67 (~(constB33 = sK0_VarCurr)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17546, 5])).
% 20.03/13.67 tff(17548,assumption,(constB153 = sK0_VarCurr), introduced(assumption)).
% 20.03/13.67 tff(17549,plain,
% 20.03/13.67 (v84(constB153, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17548])).
% 20.03/13.67 tff(17550,plain,
% 20.03/13.67 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB153, bitIndex2)),
% 20.03/13.67 inference(symmetry,[status(thm)],[17549])).
% 20.03/13.67 tff(17551,plain,
% 20.03/13.67 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB153, bitIndex2))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17550])).
% 20.03/13.67 tff(17552,plain,
% 20.03/13.67 (~v84(constB153, bitIndex2)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[5, 17551])).
% 20.03/13.67 tff(17553,assumption,(v26(constB149)), introduced(assumption)).
% 20.03/13.67 tff(17554,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17555,plain,
% 20.03/13.67 ($false),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17554, 18, 17553])).
% 20.03/13.67 tff(17556,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.67 tff(17557,assumption,(v26(constB147)), introduced(assumption)).
% 20.03/13.67 tff(17558,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17559,plain,
% 20.03/13.67 ($false),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17558, 18, 17557])).
% 20.03/13.67 tff(17560,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.67 tff(17561,plain,
% 20.03/13.67 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB141)) | (~v124(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB141)) | (~v124(constB141, bitIndex1)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17562,plain,
% 20.03/13.67 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB141)) | (~v124(constB141, bitIndex1)))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17563,plain,
% 20.03/13.67 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB141)) | (~v124(constB141, bitIndex1))),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17562, 17561])).
% 20.03/13.67 tff(17564,plain,
% 20.03/13.67 (~v124(constB141, bitIndex1)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17563, 1587, 17459])).
% 20.03/13.67 tff(17565,plain,
% 20.03/13.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17566,plain,
% 20.03/13.67 ((v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1))) <=> ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17567,plain,
% 20.03/13.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1)))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17566])).
% 20.03/13.67 tff(17568,plain,
% 20.03/13.67 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 20.03/13.67 inference(transitivity,[status(thm)],[17567, 17565])).
% 20.03/13.67 tff(17569,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17570,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17569, 17568])).
% 20.03/13.67 tff(17571,plain,
% 20.03/13.67 ((~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17570, 483, 17467])).
% 20.03/13.67 tff(17572,plain,
% 20.03/13.67 (~v121(constB141, bitIndex1)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17571, 17564])).
% 20.03/13.67 tff(17573,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17574,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17575,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1))),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17574, 17573])).
% 20.03/13.67 tff(17576,plain,
% 20.03/13.67 (v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1))),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17575, 501, 17393])).
% 20.03/13.67 tff(17577,plain,
% 20.03/13.67 (~v123(constB142, bitIndex1)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17576, 17572])).
% 20.03/13.67 tff(17578,plain,
% 20.03/13.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17579,plain,
% 20.03/13.67 (((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1)) <=> ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17580,plain,
% 20.03/13.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142))))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17579])).
% 20.03/13.67 tff(17581,plain,
% 20.03/13.67 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 20.03/13.67 inference(transitivity,[status(thm)],[17580, 17578])).
% 20.03/13.67 tff(17582,plain,
% 20.03/13.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17583,plain,
% 20.03/13.67 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142))),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 20.03/13.67 tff(17584,plain,
% 20.03/13.67 ((~v84(constB142, bitIndex1)) | (~v94(constB142))),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17583, 516, 17577])).
% 20.03/13.67 tff(17585,plain,
% 20.03/13.67 (~v84(constB142, bitIndex1)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17584, 17427])).
% 20.03/13.67 tff(17586,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17587,plain,
% 20.03/13.67 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1))) <=> (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17588,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1))))),
% 20.03/13.67 inference(monotonicity,[status(thm)],[17587])).
% 20.03/13.67 tff(17589,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 20.03/13.67 inference(transitivity,[status(thm)],[17588, 17586])).
% 20.03/13.67 tff(17590,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17591,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1))),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 20.03/13.67 tff(17592,plain,
% 20.03/13.67 (v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1))),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17591, 142, 17491])).
% 20.03/13.67 tff(17593,plain,
% 20.03/13.67 (v84(constB142, bitIndex1) | (~v84(constB143, bitIndex1))),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17592, 17503])).
% 20.03/13.67 tff(17594,plain,
% 20.03/13.67 (~v84(constB143, bitIndex1)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17593, 17585])).
% 20.03/13.67 tff(17595,plain,
% 20.03/13.67 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB141)) | v124(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB141)) | v124(constB141, bitIndex0))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17596,plain,
% 20.03/13.67 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB141)) | v124(constB141, bitIndex0))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17597,plain,
% 20.03/13.67 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB141)) | v124(constB141, bitIndex0)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17596, 17595])).
% 20.03/13.67 tff(17598,plain,
% 20.03/13.67 (v124(constB141, bitIndex0)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17597, 1631, 17459])).
% 20.03/13.67 tff(17599,plain,
% 20.03/13.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB141) | (~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB141) | (~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17600,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB141) | (~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17601,plain,
% 20.03/13.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB141) | (~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17600, 17599])).
% 20.03/13.67 tff(17602,plain,
% 20.03/13.67 ((~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17601, 557, 17467])).
% 20.03/13.67 tff(17603,plain,
% 20.03/13.67 (v121(constB141, bitIndex0)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17602, 17598])).
% 20.03/13.67 tff(17604,plain,
% 20.03/13.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17605,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0))),
% 20.03/13.67 inference(quant_inst,[status(thm)],[])).
% 20.03/13.67 tff(17606,plain,
% 20.03/13.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0)),
% 20.03/13.67 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 20.03/13.67 tff(17607,plain,
% 20.03/13.67 ((~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17606, 572, 17393])).
% 20.03/13.67 tff(17608,plain,
% 20.03/13.67 (v123(constB142, bitIndex0)),
% 20.03/13.67 inference(unit_resolution,[status(thm)],[17607, 17603])).
% 20.03/13.67 tff(17609,plain,
% 20.03/13.67 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17610,plain,
% 20.03/13.67 ((v84(constB142, bitIndex0) | (~v94(constB142)) | (~v123(constB142, bitIndex0))) <=> (v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142)))),
% 20.03/13.67 inference(rewrite,[status(thm)],[])).
% 20.03/13.67 tff(17611,plain,
% 20.03/13.67 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v94(constB142)) | (~v123(constB142, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142))))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17610])).
% 20.03/13.68 tff(17612,plain,
% 20.03/13.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v94(constB142)) | (~v123(constB142, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142)))),
% 20.03/13.68 inference(transitivity,[status(thm)],[17611, 17609])).
% 20.03/13.68 tff(17613,plain,
% 20.03/13.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v94(constB142)) | (~v123(constB142, bitIndex0)))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17614,plain,
% 20.03/13.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17613, 17612])).
% 20.03/13.68 tff(17615,plain,
% 20.03/13.68 (v84(constB142, bitIndex0) | (~v94(constB142))),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17614, 587, 17608])).
% 20.03/13.68 tff(17616,plain,
% 20.03/13.68 (v84(constB142, bitIndex0)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17615, 17427])).
% 20.03/13.68 tff(17617,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17618,plain,
% 20.03/13.68 (((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0)) <=> ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17619,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0)))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17618])).
% 20.03/13.68 tff(17620,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 20.03/13.68 inference(transitivity,[status(thm)],[17619, 17617])).
% 20.03/13.68 tff(17621,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17622,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17621, 17620])).
% 20.03/13.68 tff(17623,plain,
% 20.03/13.68 ((~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17622, 605, 17491])).
% 20.03/13.68 tff(17624,plain,
% 20.03/13.68 ((~v84(constB142, bitIndex0)) | v84(constB143, bitIndex0)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17623, 17503])).
% 20.03/13.68 tff(17625,plain,
% 20.03/13.68 (v84(constB143, bitIndex0)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17624, 17616])).
% 20.03/13.68 tff(17626,plain,
% 20.03/13.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17627,plain,
% 20.03/13.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17628,plain,
% 20.03/13.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17627, 17626])).
% 20.03/13.68 tff(17629,plain,
% 20.03/13.68 (v118(constB143)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17628, 1672, 17625, 17594, 17512])).
% 20.03/13.68 tff(17630,plain,
% 20.03/13.68 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB143) | (~v118(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB143) | (~v118(constB143)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17631,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB143) | (~v118(constB143)))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17632,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB143) | (~v118(constB143))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17631, 17630])).
% 20.03/13.68 tff(17633,plain,
% 20.03/13.68 (v108(constB143)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17632, 1683, 17629])).
% 20.03/13.68 tff(17634,plain,
% 20.03/13.68 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB143) | (~v108(constB143)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB143) | (~v108(constB143)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17635,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB143) | (~v108(constB143)))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17636,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB143) | (~v108(constB143))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17635, 17634])).
% 20.03/13.68 tff(17637,plain,
% 20.03/13.68 (v107(constB143)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17636, 250, 17633])).
% 20.03/13.68 tff(17638,assumption,(v26(constB143)), introduced(assumption)).
% 20.03/13.68 tff(17639,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17640,plain,
% 20.03/13.68 ($false),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17639, 18, 17638])).
% 20.03/13.68 tff(17641,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.68 tff(17642,plain,
% 20.03/13.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17643,plain,
% 20.03/13.68 ((v26(constB143) | (~v107(constB143)) | v106(constB143)) <=> (v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17644,plain,
% 20.03/13.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143))))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17643])).
% 20.03/13.68 tff(17645,plain,
% 20.03/13.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 20.03/13.68 inference(transitivity,[status(thm)],[17644, 17642])).
% 20.03/13.68 tff(17646,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17647,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17646, 17645])).
% 20.03/13.68 tff(17648,plain,
% 20.03/13.68 (v106(constB143) | (~v107(constB143))),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17647, 264, 17641])).
% 20.03/13.68 tff(17649,plain,
% 20.03/13.68 (v106(constB143)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17648, 17637])).
% 20.03/13.68 tff(17650,plain,
% 20.03/13.68 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB143) | (~v106(constB143)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB143) | (~v106(constB143)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17651,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB143) | (~v106(constB143)))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17652,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB143) | (~v106(constB143))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17651, 17650])).
% 20.03/13.68 tff(17653,plain,
% 20.03/13.68 (v102(constB143)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17652, 276, 17649])).
% 20.03/13.68 tff(17654,plain,
% 20.03/13.68 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17655,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 20.03/13.68 tff(17656,plain,
% 20.03/13.68 (nextState(constB143, constB144)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17655, 17654])).
% 20.03/13.68 tff(17657,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17658,plain,
% 20.03/13.68 (((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17659,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17658])).
% 20.03/13.68 tff(17660,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 20.03/13.68 inference(transitivity,[status(thm)],[17659, 17657])).
% 20.03/13.68 tff(17661,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17662,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17661, 17660])).
% 20.03/13.68 tff(17663,plain,
% 20.03/13.68 (v104(constB144) | (~v102(constB143))),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17662, 293, 17656])).
% 20.03/13.68 tff(17664,plain,
% 20.03/13.68 (v104(constB144)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17663, 17653])).
% 20.03/13.68 tff(17665,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17666,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17667,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 20.03/13.68 tff(17668,plain,
% 20.03/13.68 (~v98(constB144)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17667, 311, 17656, 17488])).
% 20.03/13.68 tff(17669,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17670,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17671,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17670, 17669])).
% 20.03/13.68 tff(17672,plain,
% 20.03/13.68 (v96(constB144) | v98(constB144)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17671, 325, 17656])).
% 20.03/13.68 tff(17673,plain,
% 20.03/13.68 (v96(constB144)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17672, 17668])).
% 20.03/13.68 tff(17674,plain,
% 20.03/13.68 (v1(constB144) <=> v1(constB144)),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17675,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 20.03/13.68 tff(17676,plain,
% 20.03/13.68 (v1(constB144)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17675, 17674])).
% 20.03/13.68 tff(17677,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17678,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17679,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17678, 17677])).
% 20.03/13.68 tff(17680,plain,
% 20.03/13.68 (v95(constB144) | (~v96(constB144))),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17679, 343, 17656, 17676])).
% 20.03/13.68 tff(17681,plain,
% 20.03/13.68 (v95(constB144)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17680, 17673])).
% 20.03/13.68 tff(17682,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17683,plain,
% 20.03/13.68 (((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144)) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17684,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144))))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17683])).
% 20.03/13.68 tff(17685,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 20.03/13.68 inference(transitivity,[status(thm)],[17684, 17682])).
% 20.03/13.68 tff(17686,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17687,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17686, 17685])).
% 20.03/13.68 tff(17688,plain,
% 20.03/13.68 (v94(constB144) | (~v95(constB144)) | (~v104(constB144))),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17687, 358, 17656])).
% 20.03/13.68 tff(17689,plain,
% 20.03/13.68 (v94(constB144) | (~v104(constB144))),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17688, 17681])).
% 20.03/13.68 tff(17690,plain,
% 20.03/13.68 (v94(constB144)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17689, 17664])).
% 20.03/13.68 tff(17691,plain,
% 20.03/13.68 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB143)) | v124(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB143)) | v124(constB143, bitIndex2))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17692,plain,
% 20.03/13.68 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB143)) | v124(constB143, bitIndex2))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17693,plain,
% 20.03/13.68 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB143)) | v124(constB143, bitIndex2)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17692, 17691])).
% 20.03/13.68 tff(17694,plain,
% 20.03/13.68 (v124(constB143, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17693, 1750, 17629])).
% 20.03/13.68 tff(17695,plain,
% 20.03/13.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17696,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17697,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17696, 17695])).
% 20.03/13.68 tff(17698,plain,
% 20.03/13.68 ((~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17697, 1273, 17641])).
% 20.03/13.68 tff(17699,plain,
% 20.03/13.68 (v121(constB143, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17698, 17694])).
% 20.03/13.68 tff(17700,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17701,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17702,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 20.03/13.68 tff(17703,plain,
% 20.03/13.68 ((~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17702, 1288, 17656])).
% 20.03/13.68 tff(17704,plain,
% 20.03/13.68 (v123(constB144, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17703, 17699])).
% 20.03/13.68 tff(17705,plain,
% 20.03/13.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17706,plain,
% 20.03/13.68 ((v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2))) <=> (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17707,plain,
% 20.03/13.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144))))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17706])).
% 20.03/13.68 tff(17708,plain,
% 20.03/13.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 20.03/13.68 inference(transitivity,[status(thm)],[17707, 17705])).
% 20.03/13.68 tff(17709,plain,
% 20.03/13.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17710,plain,
% 20.03/13.68 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17709, 17708])).
% 20.03/13.68 tff(17711,plain,
% 20.03/13.68 (v84(constB144, bitIndex2) | (~v94(constB144))),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17710, 1303, 17704])).
% 20.03/13.68 tff(17712,plain,
% 20.03/13.68 (v84(constB144, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17711, 17690])).
% 20.03/13.68 tff(17713,plain,
% 20.03/13.68 ((~v1(constB145)) <=> (~v1(constB145))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17714,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 20.03/13.68 tff(17715,plain,
% 20.03/13.68 (~v1(constB145)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17714, 17713])).
% 20.03/13.68 tff(17716,plain,
% 20.03/13.68 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17717,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 20.03/13.68 tff(17718,plain,
% 20.03/13.68 (nextState(constB144, constB145)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17717, 17716])).
% 20.03/13.68 tff(17719,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17720,plain,
% 20.03/13.68 (((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17721,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17720])).
% 20.03/13.68 tff(17722,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 20.03/13.68 inference(transitivity,[status(thm)],[17721, 17719])).
% 20.03/13.68 tff(17723,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17724,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17723, 17722])).
% 20.03/13.68 tff(17725,plain,
% 20.03/13.68 (~v95(constB145)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17724, 89, 17718, 17715])).
% 20.03/13.68 tff(17726,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17727,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17728,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145))),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17727, 17726])).
% 20.03/13.68 tff(17729,plain,
% 20.03/13.68 (v95(constB145) | (~v94(constB145))),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17728, 106, 17718])).
% 20.03/13.68 tff(17730,plain,
% 20.03/13.68 (~v94(constB145)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17729, 17725])).
% 20.03/13.68 tff(17731,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17732,plain,
% 20.03/13.68 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2)) <=> ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17733,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2)))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17732])).
% 20.03/13.68 tff(17734,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 20.03/13.68 inference(transitivity,[status(thm)],[17733, 17731])).
% 20.03/13.68 tff(17735,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17736,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17735, 17734])).
% 20.03/13.68 tff(17737,plain,
% 20.03/13.68 ((~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17736, 1339, 17718])).
% 20.03/13.68 tff(17738,plain,
% 20.03/13.68 ((~v84(constB144, bitIndex2)) | v84(constB145, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17737, 17730])).
% 20.03/13.68 tff(17739,plain,
% 20.03/13.68 (v84(constB145, bitIndex2)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17738, 17712])).
% 20.03/13.68 tff(17740,plain,
% 20.03/13.68 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB143)) | v124(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB143)) | v124(constB143, bitIndex1))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17741,plain,
% 20.03/13.68 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB143)) | v124(constB143, bitIndex1))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17742,plain,
% 20.03/13.68 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB143)) | v124(constB143, bitIndex1)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17741, 17740])).
% 20.03/13.68 tff(17743,plain,
% 20.03/13.68 (v124(constB143, bitIndex1)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17742, 1809, 17629])).
% 20.03/13.68 tff(17744,plain,
% 20.03/13.68 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17745,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17746,plain,
% 20.03/13.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 20.03/13.68 tff(17747,plain,
% 20.03/13.68 ((~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17746, 804, 17641])).
% 20.03/13.68 tff(17748,plain,
% 20.03/13.68 (v121(constB143, bitIndex1)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17747, 17743])).
% 20.03/13.68 tff(17749,plain,
% 20.03/13.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17750,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))),
% 20.03/13.68 inference(quant_inst,[status(thm)],[])).
% 20.03/13.68 tff(17751,plain,
% 20.03/13.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1)),
% 20.03/13.68 inference(modus_ponens,[status(thm)],[17750, 17749])).
% 20.03/13.68 tff(17752,plain,
% 20.03/13.68 ((~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17751, 819, 17656])).
% 20.03/13.68 tff(17753,plain,
% 20.03/13.68 (v123(constB144, bitIndex1)),
% 20.03/13.68 inference(unit_resolution,[status(thm)],[17752, 17748])).
% 20.03/13.68 tff(17754,plain,
% 20.03/13.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17755,plain,
% 20.03/13.68 ((v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1))) <=> (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 20.03/13.68 inference(rewrite,[status(thm)],[])).
% 20.03/13.68 tff(17756,plain,
% 20.03/13.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144))))),
% 20.03/13.68 inference(monotonicity,[status(thm)],[17755])).
% 20.03/13.68 tff(17757,plain,
% 20.03/13.68 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 20.03/13.69 inference(transitivity,[status(thm)],[17756, 17754])).
% 20.03/13.69 tff(17758,plain,
% 20.03/13.69 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17759,plain,
% 20.03/13.69 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17758, 17757])).
% 20.03/13.69 tff(17760,plain,
% 20.03/13.69 (v84(constB144, bitIndex1) | (~v94(constB144))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17759, 834, 17753])).
% 20.03/13.69 tff(17761,plain,
% 20.03/13.69 (v84(constB144, bitIndex1)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17760, 17690])).
% 20.03/13.69 tff(17762,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17763,plain,
% 20.03/13.69 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1)) <=> ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17764,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1)))),
% 20.03/13.69 inference(monotonicity,[status(thm)],[17763])).
% 20.03/13.69 tff(17765,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 20.03/13.69 inference(transitivity,[status(thm)],[17764, 17762])).
% 20.03/13.69 tff(17766,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17767,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1)),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17766, 17765])).
% 20.03/13.69 tff(17768,plain,
% 20.03/13.69 ((~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17767, 852, 17718])).
% 20.03/13.69 tff(17769,plain,
% 20.03/13.69 ((~v84(constB144, bitIndex1)) | v84(constB145, bitIndex1)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17768, 17730])).
% 20.03/13.69 tff(17770,plain,
% 20.03/13.69 (v84(constB145, bitIndex1)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17769, 17761])).
% 20.03/13.69 tff(17771,plain,
% 20.03/13.69 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB143)) | (~v124(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB143)) | (~v124(constB143, bitIndex0)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17772,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB143)) | (~v124(constB143, bitIndex0)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17773,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB143)) | (~v124(constB143, bitIndex0))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17772, 17771])).
% 20.03/13.69 tff(17774,plain,
% 20.03/13.69 (~v124(constB143, bitIndex0)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17773, 1850, 17629])).
% 20.03/13.69 tff(17775,plain,
% 20.03/13.69 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17776,plain,
% 20.03/13.69 ((v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0))) <=> ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17777,plain,
% 20.03/13.69 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0)))),
% 20.03/13.69 inference(monotonicity,[status(thm)],[17776])).
% 20.03/13.69 tff(17778,plain,
% 20.03/13.69 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 20.03/13.69 inference(transitivity,[status(thm)],[17777, 17775])).
% 20.03/13.69 tff(17779,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17780,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0)),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17779, 17778])).
% 20.03/13.69 tff(17781,plain,
% 20.03/13.69 ((~v121(constB143, bitIndex0)) | v124(constB143, bitIndex0)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17780, 885, 17641])).
% 20.03/13.69 tff(17782,plain,
% 20.03/13.69 (~v121(constB143, bitIndex0)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17781, 17774])).
% 20.03/13.69 tff(17783,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17784,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17785,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17784, 17783])).
% 20.03/13.69 tff(17786,plain,
% 20.03/13.69 (v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17785, 903, 17656])).
% 20.03/13.69 tff(17787,plain,
% 20.03/13.69 (~v123(constB144, bitIndex0)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17786, 17782])).
% 20.03/13.69 tff(17788,plain,
% 20.03/13.69 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17789,plain,
% 20.03/13.69 (((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0)) <=> ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17790,plain,
% 20.03/13.69 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144))))),
% 20.03/13.69 inference(monotonicity,[status(thm)],[17789])).
% 20.03/13.69 tff(17791,plain,
% 20.03/13.69 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 20.03/13.69 inference(transitivity,[status(thm)],[17790, 17788])).
% 20.03/13.69 tff(17792,plain,
% 20.03/13.69 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17793,plain,
% 20.03/13.69 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17792, 17791])).
% 20.03/13.69 tff(17794,plain,
% 20.03/13.69 ((~v84(constB144, bitIndex0)) | (~v94(constB144))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17793, 918, 17787])).
% 20.03/13.69 tff(17795,plain,
% 20.03/13.69 (~v84(constB144, bitIndex0)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17794, 17690])).
% 20.03/13.69 tff(17796,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17797,plain,
% 20.03/13.69 (((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0))) <=> (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17798,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0))))),
% 20.03/13.69 inference(monotonicity,[status(thm)],[17797])).
% 20.03/13.69 tff(17799,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 20.03/13.69 inference(transitivity,[status(thm)],[17798, 17796])).
% 20.03/13.69 tff(17800,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17801,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17800, 17799])).
% 20.03/13.69 tff(17802,plain,
% 20.03/13.69 (v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17801, 163, 17718])).
% 20.03/13.69 tff(17803,plain,
% 20.03/13.69 (v84(constB144, bitIndex0) | (~v84(constB145, bitIndex0))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17802, 17730])).
% 20.03/13.69 tff(17804,plain,
% 20.03/13.69 (~v84(constB145, bitIndex0)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17803, 17795])).
% 20.03/13.69 tff(17805,plain,
% 20.03/13.69 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17806,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17807,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145)),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17806, 17805])).
% 20.03/13.69 tff(17808,plain,
% 20.03/13.69 (v119(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17807, 1894, 17804, 17770, 17739])).
% 20.03/13.69 tff(17809,plain,
% 20.03/13.69 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB145) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB145) | (~v119(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17810,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB145) | (~v119(constB145)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17811,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB145) | (~v119(constB145))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17810, 17809])).
% 20.03/13.69 tff(17812,plain,
% 20.03/13.69 (v107(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17811, 1905, 17808])).
% 20.03/13.69 tff(17813,assumption,(v26(constB145)), introduced(assumption)).
% 20.03/13.69 tff(17814,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17815,plain,
% 20.03/13.69 ($false),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17814, 18, 17813])).
% 20.03/13.69 tff(17816,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 20.03/13.69 tff(17817,plain,
% 20.03/13.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | (~v107(constB145)) | v106(constB145))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17818,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17819,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | (~v107(constB145)) | v106(constB145)),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 20.03/13.69 tff(17820,plain,
% 20.03/13.69 ((~v107(constB145)) | v106(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17819, 264, 17816])).
% 20.03/13.69 tff(17821,plain,
% 20.03/13.69 (v106(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17820, 17812])).
% 20.03/13.69 tff(17822,plain,
% 20.03/13.69 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB145) | (~v106(constB145)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB145) | (~v106(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17823,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB145) | (~v106(constB145)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17824,plain,
% 20.03/13.69 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB145) | (~v106(constB145))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17823, 17822])).
% 20.03/13.69 tff(17825,plain,
% 20.03/13.69 (v102(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17824, 276, 17821])).
% 20.03/13.69 tff(17826,plain,
% 20.03/13.69 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17827,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 20.03/13.69 tff(17828,plain,
% 20.03/13.69 (nextState(constB145, constB146)),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17827, 17826])).
% 20.03/13.69 tff(17829,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17830,plain,
% 20.03/13.69 (((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17831,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))))),
% 20.03/13.69 inference(monotonicity,[status(thm)],[17830])).
% 20.03/13.69 tff(17832,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 20.03/13.69 inference(transitivity,[status(thm)],[17831, 17829])).
% 20.03/13.69 tff(17833,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17834,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17833, 17832])).
% 20.03/13.69 tff(17835,plain,
% 20.03/13.69 (v104(constB146) | (~v102(constB145))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17834, 293, 17828])).
% 20.03/13.69 tff(17836,plain,
% 20.03/13.69 (v104(constB146)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17835, 17825])).
% 20.03/13.69 tff(17837,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17838,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17839,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17838, 17837])).
% 20.03/13.69 tff(17840,plain,
% 20.03/13.69 (~v98(constB146)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17839, 311, 17828, 17715])).
% 20.03/13.69 tff(17841,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17842,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17843,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146)),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17842, 17841])).
% 20.03/13.69 tff(17844,plain,
% 20.03/13.69 (v96(constB146) | v98(constB146)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17843, 325, 17828])).
% 20.03/13.69 tff(17845,plain,
% 20.03/13.69 (v96(constB146)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17844, 17840])).
% 20.03/13.69 tff(17846,plain,
% 20.03/13.69 (v1(constB146) <=> v1(constB146)),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17847,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 20.03/13.69 tff(17848,plain,
% 20.03/13.69 (v1(constB146)),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17847, 17846])).
% 20.03/13.69 tff(17849,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17850,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17851,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17850, 17849])).
% 20.03/13.69 tff(17852,plain,
% 20.03/13.69 (v95(constB146) | (~v96(constB146))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17851, 343, 17828, 17848])).
% 20.03/13.69 tff(17853,plain,
% 20.03/13.69 (v95(constB146)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17852, 17845])).
% 20.03/13.69 tff(17854,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17855,plain,
% 20.03/13.69 (((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146)) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17856,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146))))),
% 20.03/13.69 inference(monotonicity,[status(thm)],[17855])).
% 20.03/13.69 tff(17857,plain,
% 20.03/13.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 20.03/13.69 inference(transitivity,[status(thm)],[17856, 17854])).
% 20.03/13.69 tff(17858,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17859,plain,
% 20.03/13.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17858, 17857])).
% 20.03/13.69 tff(17860,plain,
% 20.03/13.69 (v94(constB146) | (~v95(constB146)) | (~v104(constB146))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17859, 358, 17828])).
% 20.03/13.69 tff(17861,plain,
% 20.03/13.69 (v94(constB146) | (~v104(constB146))),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17860, 17853])).
% 20.03/13.69 tff(17862,plain,
% 20.03/13.69 (v94(constB146)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17861, 17836])).
% 20.03/13.69 tff(17863,plain,
% 20.03/13.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v116(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v116(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17864,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v116(constB145)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17865,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v116(constB145))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17864, 17863])).
% 20.03/13.69 tff(17866,plain,
% 20.03/13.69 (~v116(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17865, 1976, 17739])).
% 20.03/13.69 tff(17867,plain,
% 20.03/13.69 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17868,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17869,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17868, 17867])).
% 20.03/13.69 tff(17870,plain,
% 20.03/13.69 (~v113(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17869, 1990, 17770])).
% 20.03/13.69 tff(17871,plain,
% 20.03/13.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v118(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v118(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17872,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v118(constB145)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17873,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v118(constB145))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 20.03/13.69 tff(17874,plain,
% 20.03/13.69 (~v118(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17873, 2001, 17770])).
% 20.03/13.69 tff(17875,plain,
% 20.03/13.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v172(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v172(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17876,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v172(constB145)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17877,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v172(constB145))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17876, 17875])).
% 20.03/13.69 tff(17878,plain,
% 20.03/13.69 (~v172(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17877, 2023, 17770])).
% 20.03/13.69 tff(17879,plain,
% 20.03/13.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v115(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v115(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17880,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v115(constB145)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17881,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v115(constB145))),
% 20.03/13.69 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 20.03/13.69 tff(17882,plain,
% 20.03/13.69 (~v115(constB145)),
% 20.03/13.69 inference(unit_resolution,[status(thm)],[17881, 1965, 17739])).
% 20.03/13.69 tff(17883,plain,
% 20.03/13.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v145(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v145(constB145)))),
% 20.03/13.69 inference(rewrite,[status(thm)],[])).
% 20.03/13.69 tff(17884,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v145(constB145)))),
% 20.03/13.69 inference(quant_inst,[status(thm)],[])).
% 20.03/13.69 tff(17885,plain,
% 20.03/13.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v145(constB145))),
% 20.12/13.69 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 20.12/13.69 tff(17886,plain,
% 20.12/13.69 (~v145(constB145)),
% 20.12/13.69 inference(unit_resolution,[status(thm)],[17885, 2012, 17770])).
% 20.12/13.69 tff(17887,plain,
% 20.12/13.69 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 20.12/13.69 inference(rewrite,[status(thm)],[])).
% 20.12/13.69 tff(17888,plain,
% 20.12/13.69 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2))) <=> (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17889,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17888])).
% 20.12/13.70 tff(17890,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17889, 17887])).
% 20.12/13.70 tff(17891,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17892,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17891, 17890])).
% 20.12/13.70 tff(17893,plain,
% 20.12/13.70 (~v124(constB145, bitIndex2)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17892, 2037, 17886, 17882, 17878, 17874, 17870, 17866])).
% 20.12/13.70 tff(17894,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17895,plain,
% 20.12/13.70 ((v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2))) <=> ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17896,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2)))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17895])).
% 20.12/13.70 tff(17897,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17896, 17894])).
% 20.12/13.70 tff(17898,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17899,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2)),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 20.12/13.70 tff(17900,plain,
% 20.12/13.70 ((~v121(constB145, bitIndex2)) | v124(constB145, bitIndex2)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17899, 391, 17816])).
% 20.12/13.70 tff(17901,plain,
% 20.12/13.70 (~v121(constB145, bitIndex2)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17900, 17893])).
% 20.12/13.70 tff(17902,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17903,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17904,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17903, 17902])).
% 20.12/13.70 tff(17905,plain,
% 20.12/13.70 (v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17904, 409, 17828])).
% 20.12/13.70 tff(17906,plain,
% 20.12/13.70 (~v123(constB146, bitIndex2)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17905, 17901])).
% 20.12/13.70 tff(17907,plain,
% 20.12/13.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17908,plain,
% 20.12/13.70 (((~v84(constB146, bitIndex2)) | (~v94(constB146)) | v123(constB146, bitIndex2)) <=> ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17909,plain,
% 20.12/13.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~v94(constB146)) | v123(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146))))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17908])).
% 20.12/13.70 tff(17910,plain,
% 20.12/13.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~v94(constB146)) | v123(constB146, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17909, 17907])).
% 20.12/13.70 tff(17911,plain,
% 20.12/13.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~v94(constB146)) | v123(constB146, bitIndex2))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17912,plain,
% 20.12/13.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17911, 17910])).
% 20.12/13.70 tff(17913,plain,
% 20.12/13.70 ((~v84(constB146, bitIndex2)) | (~v94(constB146))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17912, 424, 17906])).
% 20.12/13.70 tff(17914,plain,
% 20.12/13.70 (~v84(constB146, bitIndex2)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17913, 17862])).
% 20.12/13.70 tff(17915,plain,
% 20.12/13.70 ((~v1(constB147)) <=> (~v1(constB147))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17916,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 20.12/13.70 tff(17917,plain,
% 20.12/13.70 (~v1(constB147)),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17916, 17915])).
% 20.12/13.70 tff(17918,plain,
% 20.12/13.70 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17919,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 20.12/13.70 tff(17920,plain,
% 20.12/13.70 (nextState(constB146, constB147)),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17919, 17918])).
% 20.12/13.70 tff(17921,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17922,plain,
% 20.12/13.70 (((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17923,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17922])).
% 20.12/13.70 tff(17924,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17923, 17921])).
% 20.12/13.70 tff(17925,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17926,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 20.12/13.70 tff(17927,plain,
% 20.12/13.70 (~v95(constB147)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17926, 89, 17920, 17917])).
% 20.12/13.70 tff(17928,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17929,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17930,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17929, 17928])).
% 20.12/13.70 tff(17931,plain,
% 20.12/13.70 (v95(constB147) | (~v94(constB147))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17930, 106, 17920])).
% 20.12/13.70 tff(17932,plain,
% 20.12/13.70 (~v94(constB147)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17931, 17927])).
% 20.12/13.70 tff(17933,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17934,plain,
% 20.12/13.70 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2))) <=> (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17935,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2))))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17934])).
% 20.12/13.70 tff(17936,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17935, 17933])).
% 20.12/13.70 tff(17937,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17938,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17937, 17936])).
% 20.12/13.70 tff(17939,plain,
% 20.12/13.70 (v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17938, 121, 17920])).
% 20.12/13.70 tff(17940,plain,
% 20.12/13.70 (v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17939, 17932])).
% 20.12/13.70 tff(17941,plain,
% 20.12/13.70 (~v84(constB147, bitIndex2)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17940, 17914])).
% 20.12/13.70 tff(17942,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17943,plain,
% 20.12/13.70 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1))) <=> (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17944,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1))))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17943])).
% 20.12/13.70 tff(17945,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17944, 17942])).
% 20.12/13.70 tff(17946,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17947,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 20.12/13.70 tff(17948,plain,
% 20.12/13.70 (~v124(constB145, bitIndex1)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17947, 2102, 17886, 17882, 17878, 17874, 17870, 17866])).
% 20.12/13.70 tff(17949,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17950,plain,
% 20.12/13.70 ((v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1))) <=> ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17951,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1)))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17950])).
% 20.12/13.70 tff(17952,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17951, 17949])).
% 20.12/13.70 tff(17953,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17954,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1)),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17953, 17952])).
% 20.12/13.70 tff(17955,plain,
% 20.12/13.70 ((~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17954, 483, 17816])).
% 20.12/13.70 tff(17956,plain,
% 20.12/13.70 (~v121(constB145, bitIndex1)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17955, 17948])).
% 20.12/13.70 tff(17957,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17958,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17959,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17958, 17957])).
% 20.12/13.70 tff(17960,plain,
% 20.12/13.70 (v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17959, 501, 17828])).
% 20.12/13.70 tff(17961,plain,
% 20.12/13.70 (~v123(constB146, bitIndex1)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17960, 17956])).
% 20.12/13.70 tff(17962,plain,
% 20.12/13.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17963,plain,
% 20.12/13.70 (((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1)) <=> ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17964,plain,
% 20.12/13.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146))))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17963])).
% 20.12/13.70 tff(17965,plain,
% 20.12/13.70 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17964, 17962])).
% 20.12/13.70 tff(17966,plain,
% 20.12/13.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17967,plain,
% 20.12/13.70 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17966, 17965])).
% 20.12/13.70 tff(17968,plain,
% 20.12/13.70 ((~v84(constB146, bitIndex1)) | (~v94(constB146))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17967, 516, 17961])).
% 20.12/13.70 tff(17969,plain,
% 20.12/13.70 (~v84(constB146, bitIndex1)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17968, 17862])).
% 20.12/13.70 tff(17970,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17971,plain,
% 20.12/13.70 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1))) <=> (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17972,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1))))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17971])).
% 20.12/13.70 tff(17973,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17972, 17970])).
% 20.12/13.70 tff(17974,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17975,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1))),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17974, 17973])).
% 20.12/13.70 tff(17976,plain,
% 20.12/13.70 (v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17975, 142, 17920])).
% 20.12/13.70 tff(17977,plain,
% 20.12/13.70 (v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1))),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17976, 17932])).
% 20.12/13.70 tff(17978,plain,
% 20.12/13.70 (~v84(constB147, bitIndex1)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17977, 17969])).
% 20.12/13.70 tff(17979,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17980,plain,
% 20.12/13.70 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0)) <=> (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17981,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0)))),
% 20.12/13.70 inference(monotonicity,[status(thm)],[17980])).
% 20.12/13.70 tff(17982,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0))),
% 20.12/13.70 inference(transitivity,[status(thm)],[17981, 17979])).
% 20.12/13.70 tff(17983,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17984,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0)),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17983, 17982])).
% 20.12/13.70 tff(17985,plain,
% 20.12/13.70 (v124(constB145, bitIndex0)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17984, 2149, 17886, 17882, 17878, 17874, 17870, 17866])).
% 20.12/13.70 tff(17986,plain,
% 20.12/13.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17987,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 20.12/13.70 inference(quant_inst,[status(thm)],[])).
% 20.12/13.70 tff(17988,plain,
% 20.12/13.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 20.12/13.70 inference(modus_ponens,[status(thm)],[17987, 17986])).
% 20.12/13.70 tff(17989,plain,
% 20.12/13.70 ((~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17988, 557, 17816])).
% 20.12/13.70 tff(17990,plain,
% 20.12/13.70 (v121(constB145, bitIndex0)),
% 20.12/13.70 inference(unit_resolution,[status(thm)],[17989, 17985])).
% 20.12/13.70 tff(17991,plain,
% 20.12/13.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))),
% 20.12/13.70 inference(rewrite,[status(thm)],[])).
% 20.12/13.70 tff(17992,plain,
% 20.12/13.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(17993,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[17992, 17991])).
% 20.12/13.71 tff(17994,plain,
% 20.12/13.71 ((~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[17993, 572, 17828])).
% 20.12/13.71 tff(17995,plain,
% 20.12/13.71 (v123(constB146, bitIndex0)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[17994, 17990])).
% 20.12/13.71 tff(17996,plain,
% 20.12/13.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(17997,plain,
% 20.12/13.71 ((v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0))) <=> (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(17998,plain,
% 20.12/13.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146))))),
% 20.12/13.71 inference(monotonicity,[status(thm)],[17997])).
% 20.12/13.71 tff(17999,plain,
% 20.12/13.71 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 20.12/13.71 inference(transitivity,[status(thm)],[17998, 17996])).
% 20.12/13.71 tff(18000,plain,
% 20.12/13.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18001,plain,
% 20.12/13.71 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18000, 17999])).
% 20.12/13.71 tff(18002,plain,
% 20.12/13.71 (v84(constB146, bitIndex0) | (~v94(constB146))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18001, 587, 17995])).
% 20.12/13.71 tff(18003,plain,
% 20.12/13.71 (v84(constB146, bitIndex0)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18002, 17862])).
% 20.12/13.71 tff(18004,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18005,plain,
% 20.12/13.71 (((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0)) <=> ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18006,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0)))),
% 20.12/13.71 inference(monotonicity,[status(thm)],[18005])).
% 20.12/13.71 tff(18007,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 20.12/13.71 inference(transitivity,[status(thm)],[18006, 18004])).
% 20.12/13.71 tff(18008,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18009,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18008, 18007])).
% 20.12/13.71 tff(18010,plain,
% 20.12/13.71 ((~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18009, 605, 17920])).
% 20.12/13.71 tff(18011,plain,
% 20.12/13.71 ((~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18010, 17932])).
% 20.12/13.71 tff(18012,plain,
% 20.12/13.71 (v84(constB147, bitIndex0)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18011, 18003])).
% 20.12/13.71 tff(18013,plain,
% 20.12/13.71 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18014,plain,
% 20.12/13.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18015,plain,
% 20.12/13.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 20.12/13.71 tff(18016,plain,
% 20.12/13.71 (v145(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18015, 624, 18012, 17978, 17941])).
% 20.12/13.71 tff(18017,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18018,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18019,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18018, 18017])).
% 20.12/13.71 tff(18020,plain,
% 20.12/13.71 (v112(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18019, 681, 18016])).
% 20.12/13.71 tff(18021,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB147) | (~v112(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18022,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB147) | (~v112(constB147)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18023,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB147) | (~v112(constB147))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 20.12/13.71 tff(18024,plain,
% 20.12/13.71 (v111(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18023, 206, 18020])).
% 20.12/13.71 tff(18025,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB147) | (~v111(constB147)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB147) | (~v111(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18026,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB147) | (~v111(constB147)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18027,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB147) | (~v111(constB147))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18026, 18025])).
% 20.12/13.71 tff(18028,plain,
% 20.12/13.71 (v110(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18027, 217, 18024])).
% 20.12/13.71 tff(18029,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB147) | (~v110(constB147)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB147) | (~v110(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18030,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB147) | (~v110(constB147)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18031,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB147) | (~v110(constB147))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18030, 18029])).
% 20.12/13.71 tff(18032,plain,
% 20.12/13.71 (v109(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18031, 228, 18028])).
% 20.12/13.71 tff(18033,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB147) | (~v109(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB147) | (~v109(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18034,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB147) | (~v109(constB147)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18035,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB147) | (~v109(constB147))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18034, 18033])).
% 20.12/13.71 tff(18036,plain,
% 20.12/13.71 (v108(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18035, 239, 18032])).
% 20.12/13.71 tff(18037,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB147) | (~v108(constB147)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB147) | (~v108(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18038,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB147) | (~v108(constB147)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18039,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB147) | (~v108(constB147))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18038, 18037])).
% 20.12/13.71 tff(18040,plain,
% 20.12/13.71 (v107(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18039, 250, 18036])).
% 20.12/13.71 tff(18041,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18042,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18043,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | (~v107(constB147)) | v106(constB147)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18042, 18041])).
% 20.12/13.71 tff(18044,plain,
% 20.12/13.71 (v26(constB147) | v106(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18043, 264, 18040])).
% 20.12/13.71 tff(18045,plain,
% 20.12/13.71 (v106(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18044, 17560])).
% 20.12/13.71 tff(18046,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB147) | (~v106(constB147)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB147) | (~v106(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18047,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB147) | (~v106(constB147)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18048,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB147) | (~v106(constB147))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18047, 18046])).
% 20.12/13.71 tff(18049,plain,
% 20.12/13.71 (v102(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18048, 276, 18045])).
% 20.12/13.71 tff(18050,plain,
% 20.12/13.71 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18051,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 20.12/13.71 tff(18052,plain,
% 20.12/13.71 (nextState(constB147, constB148)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18051, 18050])).
% 20.12/13.71 tff(18053,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18054,plain,
% 20.12/13.71 (((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18055,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))))),
% 20.12/13.71 inference(monotonicity,[status(thm)],[18054])).
% 20.12/13.71 tff(18056,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 20.12/13.71 inference(transitivity,[status(thm)],[18055, 18053])).
% 20.12/13.71 tff(18057,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18058,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18057, 18056])).
% 20.12/13.71 tff(18059,plain,
% 20.12/13.71 (v104(constB148) | (~v102(constB147))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18058, 293, 18052])).
% 20.12/13.71 tff(18060,plain,
% 20.12/13.71 (v104(constB148)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18059, 18049])).
% 20.12/13.71 tff(18061,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18062,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18063,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18062, 18061])).
% 20.12/13.71 tff(18064,plain,
% 20.12/13.71 (~v98(constB148)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18063, 311, 18052, 17917])).
% 20.12/13.71 tff(18065,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18066,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18067,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18066, 18065])).
% 20.12/13.71 tff(18068,plain,
% 20.12/13.71 (v96(constB148) | v98(constB148)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18067, 325, 18052])).
% 20.12/13.71 tff(18069,plain,
% 20.12/13.71 (v96(constB148)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18068, 18064])).
% 20.12/13.71 tff(18070,plain,
% 20.12/13.71 (v1(constB148) <=> v1(constB148)),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18071,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 20.12/13.71 tff(18072,plain,
% 20.12/13.71 (v1(constB148)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18071, 18070])).
% 20.12/13.71 tff(18073,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18074,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18075,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18074, 18073])).
% 20.12/13.71 tff(18076,plain,
% 20.12/13.71 (v95(constB148) | (~v96(constB148))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18075, 343, 18052, 18072])).
% 20.12/13.71 tff(18077,plain,
% 20.12/13.71 (v95(constB148)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18076, 18069])).
% 20.12/13.71 tff(18078,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18079,plain,
% 20.12/13.71 (((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148)) <=> ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18080,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148))))),
% 20.12/13.71 inference(monotonicity,[status(thm)],[18079])).
% 20.12/13.71 tff(18081,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 20.12/13.71 inference(transitivity,[status(thm)],[18080, 18078])).
% 20.12/13.71 tff(18082,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18083,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18082, 18081])).
% 20.12/13.71 tff(18084,plain,
% 20.12/13.71 (v94(constB148) | (~v95(constB148)) | (~v104(constB148))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18083, 358, 18052])).
% 20.12/13.71 tff(18085,plain,
% 20.12/13.71 (v94(constB148) | (~v104(constB148))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18084, 18077])).
% 20.12/13.71 tff(18086,plain,
% 20.12/13.71 (v94(constB148)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18085, 18060])).
% 20.12/13.71 tff(18087,plain,
% 20.12/13.71 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB147)) | (~v124(constB147, bitIndex2)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18088,plain,
% 20.12/13.71 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex2)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18089,plain,
% 20.12/13.71 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB147)) | (~v124(constB147, bitIndex2))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18088, 18087])).
% 20.12/13.71 tff(18090,plain,
% 20.12/13.71 (~v124(constB147, bitIndex2)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18089, 638, 18016])).
% 20.12/13.71 tff(18091,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18092,plain,
% 20.12/13.71 ((v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2))) <=> ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18093,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2)))),
% 20.12/13.71 inference(monotonicity,[status(thm)],[18092])).
% 20.12/13.71 tff(18094,plain,
% 20.12/13.71 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 20.12/13.71 inference(transitivity,[status(thm)],[18093, 18091])).
% 20.12/13.71 tff(18095,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18096,plain,
% 20.12/13.71 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18095, 18094])).
% 20.12/13.71 tff(18097,plain,
% 20.12/13.71 ((~v121(constB147, bitIndex2)) | v26(constB147)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18096, 391, 18090])).
% 20.12/13.71 tff(18098,plain,
% 20.12/13.71 (~v121(constB147, bitIndex2)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18097, 17560])).
% 20.12/13.71 tff(18099,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18100,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18101,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18100, 18099])).
% 20.12/13.71 tff(18102,plain,
% 20.12/13.71 (v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18101, 409, 18052])).
% 20.12/13.71 tff(18103,plain,
% 20.12/13.71 (~v123(constB148, bitIndex2)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18102, 18098])).
% 20.12/13.71 tff(18104,plain,
% 20.12/13.71 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18105,plain,
% 20.12/13.71 (((~v84(constB148, bitIndex2)) | (~v94(constB148)) | v123(constB148, bitIndex2)) <=> ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18106,plain,
% 20.12/13.71 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | (~v94(constB148)) | v123(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148))))),
% 20.12/13.71 inference(monotonicity,[status(thm)],[18105])).
% 20.12/13.71 tff(18107,plain,
% 20.12/13.71 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | (~v94(constB148)) | v123(constB148, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 20.12/13.71 inference(transitivity,[status(thm)],[18106, 18104])).
% 20.12/13.71 tff(18108,plain,
% 20.12/13.71 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB148, bitIndex2)) | (~v94(constB148)) | v123(constB148, bitIndex2))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18109,plain,
% 20.12/13.71 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18108, 18107])).
% 20.12/13.71 tff(18110,plain,
% 20.12/13.71 ((~v84(constB148, bitIndex2)) | (~v94(constB148))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18109, 424, 18103])).
% 20.12/13.71 tff(18111,plain,
% 20.12/13.71 (~v84(constB148, bitIndex2)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18110, 18086])).
% 20.12/13.71 tff(18112,plain,
% 20.12/13.71 ((~v1(constB149)) <=> (~v1(constB149))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18113,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 20.12/13.71 tff(18114,plain,
% 20.12/13.71 (~v1(constB149)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18113, 18112])).
% 20.12/13.71 tff(18115,plain,
% 20.12/13.71 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18116,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 20.12/13.71 tff(18117,plain,
% 20.12/13.71 (nextState(constB148, constB149)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18116, 18115])).
% 20.12/13.71 tff(18118,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18119,plain,
% 20.12/13.71 (((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18120,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))))),
% 20.12/13.71 inference(monotonicity,[status(thm)],[18119])).
% 20.12/13.71 tff(18121,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 20.12/13.71 inference(transitivity,[status(thm)],[18120, 18118])).
% 20.12/13.71 tff(18122,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18123,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18122, 18121])).
% 20.12/13.71 tff(18124,plain,
% 20.12/13.71 (~v95(constB149)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18123, 89, 18117, 18114])).
% 20.12/13.71 tff(18125,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18126,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18127,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18126, 18125])).
% 20.12/13.71 tff(18128,plain,
% 20.12/13.71 (v95(constB149) | (~v94(constB149))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18127, 106, 18117])).
% 20.12/13.71 tff(18129,plain,
% 20.12/13.71 (~v94(constB149)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18128, 18124])).
% 20.12/13.71 tff(18130,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18131,plain,
% 20.12/13.71 (((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2))) <=> (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18132,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2))))),
% 20.12/13.71 inference(monotonicity,[status(thm)],[18131])).
% 20.12/13.71 tff(18133,plain,
% 20.12/13.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 20.12/13.71 inference(transitivity,[status(thm)],[18132, 18130])).
% 20.12/13.71 tff(18134,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18135,plain,
% 20.12/13.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2))),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18134, 18133])).
% 20.12/13.71 tff(18136,plain,
% 20.12/13.71 (v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18135, 121, 18117])).
% 20.12/13.71 tff(18137,plain,
% 20.12/13.71 (v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2))),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18136, 18129])).
% 20.12/13.71 tff(18138,plain,
% 20.12/13.71 (~v84(constB149, bitIndex2)),
% 20.12/13.71 inference(unit_resolution,[status(thm)],[18137, 18111])).
% 20.12/13.71 tff(18139,plain,
% 20.12/13.71 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB147)) | v124(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB147)) | v124(constB147, bitIndex1))),
% 20.12/13.71 inference(rewrite,[status(thm)],[])).
% 20.12/13.71 tff(18140,plain,
% 20.12/13.71 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB147)) | v124(constB147, bitIndex1))),
% 20.12/13.71 inference(quant_inst,[status(thm)],[])).
% 20.12/13.71 tff(18141,plain,
% 20.12/13.71 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB147)) | v124(constB147, bitIndex1)),
% 20.12/13.71 inference(modus_ponens,[status(thm)],[18140, 18139])).
% 20.12/13.72 tff(18142,plain,
% 20.12/13.72 (v124(constB147, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18141, 790, 18016])).
% 20.12/13.72 tff(18143,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18144,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18145,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1)),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18144, 18143])).
% 20.12/13.72 tff(18146,plain,
% 20.12/13.72 (v26(constB147) | v121(constB147, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18145, 804, 18142])).
% 20.12/13.72 tff(18147,plain,
% 20.12/13.72 (v121(constB147, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18146, 17560])).
% 20.12/13.72 tff(18148,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18149,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18150,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1)),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18149, 18148])).
% 20.12/13.72 tff(18151,plain,
% 20.12/13.72 ((~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18150, 819, 18052])).
% 20.12/13.72 tff(18152,plain,
% 20.12/13.72 (v123(constB148, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18151, 18147])).
% 20.12/13.72 tff(18153,plain,
% 20.12/13.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18154,plain,
% 20.12/13.72 ((v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1))) <=> (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18155,plain,
% 20.12/13.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148))))),
% 20.12/13.72 inference(monotonicity,[status(thm)],[18154])).
% 20.12/13.72 tff(18156,plain,
% 20.12/13.72 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 20.12/13.72 inference(transitivity,[status(thm)],[18155, 18153])).
% 20.12/13.72 tff(18157,plain,
% 20.12/13.72 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18158,plain,
% 20.12/13.72 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18157, 18156])).
% 20.12/13.72 tff(18159,plain,
% 20.12/13.72 (v84(constB148, bitIndex1) | (~v94(constB148))),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18158, 834, 18152])).
% 20.12/13.72 tff(18160,plain,
% 20.12/13.72 (v84(constB148, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18159, 18086])).
% 20.12/13.72 tff(18161,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18162,plain,
% 20.12/13.72 (((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1)) <=> ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18163,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1)))),
% 20.12/13.72 inference(monotonicity,[status(thm)],[18162])).
% 20.12/13.72 tff(18164,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 20.12/13.72 inference(transitivity,[status(thm)],[18163, 18161])).
% 20.12/13.72 tff(18165,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18166,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1)),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18165, 18164])).
% 20.12/13.72 tff(18167,plain,
% 20.12/13.72 ((~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18166, 852, 18117])).
% 20.12/13.72 tff(18168,plain,
% 20.12/13.72 ((~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18167, 18129])).
% 20.12/13.72 tff(18169,plain,
% 20.12/13.72 (v84(constB149, bitIndex1)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18168, 18160])).
% 20.12/13.72 tff(18170,plain,
% 20.12/13.72 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18171,plain,
% 20.12/13.72 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18172,plain,
% 20.12/13.72 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB147)) | (~v124(constB147, bitIndex0))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18171, 18170])).
% 20.12/13.72 tff(18173,plain,
% 20.12/13.72 (~v124(constB147, bitIndex0)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18172, 871, 18016])).
% 20.12/13.72 tff(18174,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18175,plain,
% 20.12/13.72 ((v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0))) <=> ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18176,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0)))),
% 20.12/13.72 inference(monotonicity,[status(thm)],[18175])).
% 20.12/13.72 tff(18177,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 20.12/13.72 inference(transitivity,[status(thm)],[18176, 18174])).
% 20.12/13.72 tff(18178,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18179,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0)),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18178, 18177])).
% 20.12/13.72 tff(18180,plain,
% 20.12/13.72 ((~v121(constB147, bitIndex0)) | v26(constB147)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18179, 885, 18173])).
% 20.12/13.72 tff(18181,plain,
% 20.12/13.72 (~v121(constB147, bitIndex0)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18180, 17560])).
% 20.12/13.72 tff(18182,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18183,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18184,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18183, 18182])).
% 20.12/13.72 tff(18185,plain,
% 20.12/13.72 (v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0))),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18184, 903, 18052])).
% 20.12/13.72 tff(18186,plain,
% 20.12/13.72 (~v123(constB148, bitIndex0)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18185, 18181])).
% 20.12/13.72 tff(18187,plain,
% 20.12/13.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18188,plain,
% 20.12/13.72 (((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0)) <=> ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18189,plain,
% 20.12/13.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148))))),
% 20.12/13.72 inference(monotonicity,[status(thm)],[18188])).
% 20.12/13.72 tff(18190,plain,
% 20.12/13.72 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 20.12/13.72 inference(transitivity,[status(thm)],[18189, 18187])).
% 20.12/13.72 tff(18191,plain,
% 20.12/13.72 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18192,plain,
% 20.12/13.72 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 20.12/13.72 tff(18193,plain,
% 20.12/13.72 ((~v84(constB148, bitIndex0)) | (~v94(constB148))),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18192, 918, 18186])).
% 20.12/13.72 tff(18194,plain,
% 20.12/13.72 (~v84(constB148, bitIndex0)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18193, 18086])).
% 20.12/13.72 tff(18195,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18196,plain,
% 20.12/13.72 (((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0))) <=> (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18197,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0))))),
% 20.12/13.72 inference(monotonicity,[status(thm)],[18196])).
% 20.12/13.72 tff(18198,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 20.12/13.72 inference(transitivity,[status(thm)],[18197, 18195])).
% 20.12/13.72 tff(18199,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18200,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18199, 18198])).
% 20.12/13.72 tff(18201,plain,
% 20.12/13.72 (v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0))),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18200, 163, 18117])).
% 20.12/13.72 tff(18202,plain,
% 20.12/13.72 (v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0))),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18201, 18129])).
% 20.12/13.72 tff(18203,plain,
% 20.12/13.72 (~v84(constB149, bitIndex0)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18202, 18194])).
% 20.12/13.72 tff(18204,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18205,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18206,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149)),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18205, 18204])).
% 20.12/13.72 tff(18207,plain,
% 20.12/13.72 (v115(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18206, 945, 18203, 18169, 18138])).
% 20.12/13.72 tff(18208,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB149) | (~v115(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18209,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB149) | (~v115(constB149)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18210,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB149) | (~v115(constB149))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 20.12/13.72 tff(18211,plain,
% 20.12/13.72 (v111(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18210, 956, 18207])).
% 20.12/13.72 tff(18212,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB149) | (~v111(constB149)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB149) | (~v111(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18213,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB149) | (~v111(constB149)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18214,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB149) | (~v111(constB149))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18213, 18212])).
% 20.12/13.72 tff(18215,plain,
% 20.12/13.72 (v110(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18214, 217, 18211])).
% 20.12/13.72 tff(18216,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB149) | (~v110(constB149)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB149) | (~v110(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18217,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB149) | (~v110(constB149)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18218,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB149) | (~v110(constB149))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 20.12/13.72 tff(18219,plain,
% 20.12/13.72 (v109(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18218, 228, 18215])).
% 20.12/13.72 tff(18220,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB149) | (~v109(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB149) | (~v109(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18221,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB149) | (~v109(constB149)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18222,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB149) | (~v109(constB149))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18221, 18220])).
% 20.12/13.72 tff(18223,plain,
% 20.12/13.72 (v108(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18222, 239, 18219])).
% 20.12/13.72 tff(18224,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB149) | (~v108(constB149)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB149) | (~v108(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18225,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB149) | (~v108(constB149)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18226,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB149) | (~v108(constB149))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18225, 18224])).
% 20.12/13.72 tff(18227,plain,
% 20.12/13.72 (v107(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18226, 250, 18223])).
% 20.12/13.72 tff(18228,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | v106(constB149) | (~v107(constB149)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18229,plain,
% 20.12/13.72 ((v26(constB149) | (~v107(constB149)) | v106(constB149)) <=> (v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18230,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | v106(constB149) | (~v107(constB149))))),
% 20.12/13.72 inference(monotonicity,[status(thm)],[18229])).
% 20.12/13.72 tff(18231,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 20.12/13.72 inference(transitivity,[status(thm)],[18230, 18228])).
% 20.12/13.72 tff(18232,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18233,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18232, 18231])).
% 20.12/13.72 tff(18234,plain,
% 20.12/13.72 (v26(constB149) | v106(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18233, 264, 18227])).
% 20.12/13.72 tff(18235,plain,
% 20.12/13.72 (v106(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18234, 17556])).
% 20.12/13.72 tff(18236,plain,
% 20.12/13.72 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB149) | (~v106(constB149)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB149) | (~v106(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18237,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB149) | (~v106(constB149)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18238,plain,
% 20.12/13.72 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB149) | (~v106(constB149))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18237, 18236])).
% 20.12/13.72 tff(18239,plain,
% 20.12/13.72 (v102(constB149)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18238, 276, 18235])).
% 20.12/13.72 tff(18240,plain,
% 20.12/13.72 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18241,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 20.12/13.72 tff(18242,plain,
% 20.12/13.72 (nextState(constB149, constB150)),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18241, 18240])).
% 20.12/13.72 tff(18243,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18244,plain,
% 20.12/13.72 (((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150)) <=> ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18245,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149))))),
% 20.12/13.72 inference(monotonicity,[status(thm)],[18244])).
% 20.12/13.72 tff(18246,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 20.12/13.72 inference(transitivity,[status(thm)],[18245, 18243])).
% 20.12/13.72 tff(18247,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18248,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18247, 18246])).
% 20.12/13.72 tff(18249,plain,
% 20.12/13.72 (v104(constB150) | (~v102(constB149))),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18248, 293, 18242])).
% 20.12/13.72 tff(18250,plain,
% 20.12/13.72 (v104(constB150)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18249, 18239])).
% 20.12/13.72 tff(18251,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18252,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18253,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18252, 18251])).
% 20.12/13.72 tff(18254,plain,
% 20.12/13.72 (~v98(constB150)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18253, 311, 18242, 18114])).
% 20.12/13.72 tff(18255,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18256,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18257,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB149, constB150)) | v96(constB150) | v98(constB150)),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18256, 18255])).
% 20.12/13.72 tff(18258,plain,
% 20.12/13.72 (v96(constB150) | v98(constB150)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18257, 325, 18242])).
% 20.12/13.72 tff(18259,plain,
% 20.12/13.72 (v96(constB150)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18258, 18254])).
% 20.12/13.72 tff(18260,plain,
% 20.12/13.72 (v1(constB150) <=> v1(constB150)),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18261,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 20.12/13.72 tff(18262,plain,
% 20.12/13.72 (v1(constB150)),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18261, 18260])).
% 20.12/13.72 tff(18263,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18264,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))),
% 20.12/13.72 inference(quant_inst,[status(thm)],[])).
% 20.12/13.72 tff(18265,plain,
% 20.12/13.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150))),
% 20.12/13.72 inference(modus_ponens,[status(thm)],[18264, 18263])).
% 20.12/13.72 tff(18266,plain,
% 20.12/13.72 (v95(constB150) | (~v96(constB150))),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18265, 343, 18242, 18262])).
% 20.12/13.72 tff(18267,plain,
% 20.12/13.72 (v95(constB150)),
% 20.12/13.72 inference(unit_resolution,[status(thm)],[18266, 18259])).
% 20.12/13.72 tff(18268,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18269,plain,
% 20.12/13.72 (((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150)) <=> ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 20.12/13.72 inference(rewrite,[status(thm)],[])).
% 20.12/13.72 tff(18270,plain,
% 20.12/13.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150))))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18269])).
% 20.12/13.73 tff(18271,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18270, 18268])).
% 20.12/13.73 tff(18272,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18273,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18272, 18271])).
% 20.12/13.73 tff(18274,plain,
% 20.12/13.73 (v94(constB150) | (~v95(constB150)) | (~v104(constB150))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18273, 358, 18242])).
% 20.12/13.73 tff(18275,plain,
% 20.12/13.73 (v94(constB150) | (~v104(constB150))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18274, 18267])).
% 20.12/13.73 tff(18276,plain,
% 20.12/13.73 (v94(constB150)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18275, 18250])).
% 20.12/13.73 tff(18277,plain,
% 20.12/13.73 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB149)) | (~v124(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB149)) | (~v124(constB149, bitIndex2)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18278,plain,
% 20.12/13.73 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB149)) | (~v124(constB149, bitIndex2)))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18279,plain,
% 20.12/13.73 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB149)) | (~v124(constB149, bitIndex2))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18278, 18277])).
% 20.12/13.73 tff(18280,plain,
% 20.12/13.73 (~v124(constB149, bitIndex2)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18279, 1032, 18207])).
% 20.12/13.73 tff(18281,plain,
% 20.12/13.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18282,plain,
% 20.12/13.73 ((v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2))) <=> ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18283,plain,
% 20.12/13.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2)))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18282])).
% 20.12/13.73 tff(18284,plain,
% 20.12/13.73 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18283, 18281])).
% 20.12/13.73 tff(18285,plain,
% 20.12/13.73 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18286,plain,
% 20.12/13.73 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18285, 18284])).
% 20.12/13.73 tff(18287,plain,
% 20.12/13.73 ((~v121(constB149, bitIndex2)) | v26(constB149)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18286, 391, 18280])).
% 20.12/13.73 tff(18288,plain,
% 20.12/13.73 (~v121(constB149, bitIndex2)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18287, 17556])).
% 20.12/13.73 tff(18289,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18290,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18291,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18290, 18289])).
% 20.12/13.73 tff(18292,plain,
% 20.12/13.73 (v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18291, 409, 18242])).
% 20.12/13.73 tff(18293,plain,
% 20.12/13.73 (~v123(constB150, bitIndex2)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18292, 18288])).
% 20.12/13.73 tff(18294,plain,
% 20.12/13.73 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18295,plain,
% 20.12/13.73 (((~v84(constB150, bitIndex2)) | (~v94(constB150)) | v123(constB150, bitIndex2)) <=> ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18296,plain,
% 20.12/13.73 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | (~v94(constB150)) | v123(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150))))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18295])).
% 20.12/13.73 tff(18297,plain,
% 20.12/13.73 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | (~v94(constB150)) | v123(constB150, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18296, 18294])).
% 20.12/13.73 tff(18298,plain,
% 20.12/13.73 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB150, bitIndex2)) | (~v94(constB150)) | v123(constB150, bitIndex2))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18299,plain,
% 20.12/13.73 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18298, 18297])).
% 20.12/13.73 tff(18300,plain,
% 20.12/13.73 ((~v84(constB150, bitIndex2)) | (~v94(constB150))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18299, 424, 18293])).
% 20.12/13.73 tff(18301,plain,
% 20.12/13.73 (~v84(constB150, bitIndex2)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18300, 18276])).
% 20.12/13.73 tff(18302,plain,
% 20.12/13.73 ((~v1(constB151)) <=> (~v1(constB151))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18303,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 20.12/13.73 tff(18304,plain,
% 20.12/13.73 (~v1(constB151)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18303, 18302])).
% 20.12/13.73 tff(18305,plain,
% 20.12/13.73 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18306,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 20.12/13.73 tff(18307,plain,
% 20.12/13.73 (nextState(constB150, constB151)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18306, 18305])).
% 20.12/13.73 tff(18308,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18309,plain,
% 20.12/13.73 (((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18310,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151))))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18309])).
% 20.12/13.73 tff(18311,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18310, 18308])).
% 20.12/13.73 tff(18312,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18313,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 20.12/13.73 tff(18314,plain,
% 20.12/13.73 (~v95(constB151)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18313, 89, 18307, 18304])).
% 20.12/13.73 tff(18315,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18316,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18317,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18316, 18315])).
% 20.12/13.73 tff(18318,plain,
% 20.12/13.73 (v95(constB151) | (~v94(constB151))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18317, 106, 18307])).
% 20.12/13.73 tff(18319,plain,
% 20.12/13.73 (~v94(constB151)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18318, 18314])).
% 20.12/13.73 tff(18320,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18321,plain,
% 20.12/13.73 (((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2))) <=> (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18322,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2))))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18321])).
% 20.12/13.73 tff(18323,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18322, 18320])).
% 20.12/13.73 tff(18324,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18325,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 20.12/13.73 tff(18326,plain,
% 20.12/13.73 (v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18325, 121, 18307])).
% 20.12/13.73 tff(18327,plain,
% 20.12/13.73 (v84(constB150, bitIndex2) | (~v84(constB151, bitIndex2))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18326, 18319])).
% 20.12/13.73 tff(18328,plain,
% 20.12/13.73 (~v84(constB151, bitIndex2)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18327, 18301])).
% 20.12/13.73 tff(18329,plain,
% 20.12/13.73 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB149)) | v124(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB149)) | v124(constB149, bitIndex1))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18330,plain,
% 20.12/13.73 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB149)) | v124(constB149, bitIndex1))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18331,plain,
% 20.12/13.73 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB149)) | v124(constB149, bitIndex1)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18330, 18329])).
% 20.12/13.73 tff(18332,plain,
% 20.12/13.73 (v124(constB149, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18331, 1094, 18207])).
% 20.12/13.73 tff(18333,plain,
% 20.12/13.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18334,plain,
% 20.12/13.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18335,plain,
% 20.12/13.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18334, 18333])).
% 20.12/13.73 tff(18336,plain,
% 20.12/13.73 (v26(constB149) | v121(constB149, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18335, 804, 18332])).
% 20.12/13.73 tff(18337,plain,
% 20.12/13.73 (v121(constB149, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18336, 17556])).
% 20.12/13.73 tff(18338,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18339,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18340,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18339, 18338])).
% 20.12/13.73 tff(18341,plain,
% 20.12/13.73 ((~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18340, 819, 18242])).
% 20.12/13.73 tff(18342,plain,
% 20.12/13.73 (v123(constB150, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18341, 18337])).
% 20.12/13.73 tff(18343,plain,
% 20.12/13.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18344,plain,
% 20.12/13.73 ((v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1))) <=> (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18345,plain,
% 20.12/13.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150))))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18344])).
% 20.12/13.73 tff(18346,plain,
% 20.12/13.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18345, 18343])).
% 20.12/13.73 tff(18347,plain,
% 20.12/13.73 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18348,plain,
% 20.12/13.73 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18347, 18346])).
% 20.12/13.73 tff(18349,plain,
% 20.12/13.73 (v84(constB150, bitIndex1) | (~v94(constB150))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18348, 834, 18342])).
% 20.12/13.73 tff(18350,plain,
% 20.12/13.73 (v84(constB150, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18349, 18276])).
% 20.12/13.73 tff(18351,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18352,plain,
% 20.12/13.73 (((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1)) <=> ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18353,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1)))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18352])).
% 20.12/13.73 tff(18354,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18353, 18351])).
% 20.12/13.73 tff(18355,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18356,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18355, 18354])).
% 20.12/13.73 tff(18357,plain,
% 20.12/13.73 ((~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18356, 852, 18307])).
% 20.12/13.73 tff(18358,plain,
% 20.12/13.73 ((~v84(constB150, bitIndex1)) | v84(constB151, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18357, 18319])).
% 20.12/13.73 tff(18359,plain,
% 20.12/13.73 (v84(constB151, bitIndex1)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18358, 18350])).
% 20.12/13.73 tff(18360,plain,
% 20.12/13.73 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB149)) | v124(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB149)) | v124(constB149, bitIndex0))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18361,plain,
% 20.12/13.73 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB149)) | v124(constB149, bitIndex0))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18362,plain,
% 20.12/13.73 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB149)) | v124(constB149, bitIndex0)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 20.12/13.73 tff(18363,plain,
% 20.12/13.73 (v124(constB149, bitIndex0)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18362, 1135, 18207])).
% 20.12/13.73 tff(18364,plain,
% 20.12/13.73 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18365,plain,
% 20.12/13.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18366,plain,
% 20.12/13.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18365, 18364])).
% 20.12/13.73 tff(18367,plain,
% 20.12/13.73 (v26(constB149) | v121(constB149, bitIndex0)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18366, 557, 18363])).
% 20.12/13.73 tff(18368,plain,
% 20.12/13.73 (v121(constB149, bitIndex0)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18367, 17556])).
% 20.12/13.73 tff(18369,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18370,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18371,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18370, 18369])).
% 20.12/13.73 tff(18372,plain,
% 20.12/13.73 ((~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18371, 572, 18242])).
% 20.12/13.73 tff(18373,plain,
% 20.12/13.73 (v123(constB150, bitIndex0)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18372, 18368])).
% 20.12/13.73 tff(18374,plain,
% 20.12/13.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18375,plain,
% 20.12/13.73 ((v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0))) <=> (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18376,plain,
% 20.12/13.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150))))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18375])).
% 20.12/13.73 tff(18377,plain,
% 20.12/13.73 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18376, 18374])).
% 20.12/13.73 tff(18378,plain,
% 20.12/13.73 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18379,plain,
% 20.12/13.73 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150))),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18378, 18377])).
% 20.12/13.73 tff(18380,plain,
% 20.12/13.73 (v84(constB150, bitIndex0) | (~v94(constB150))),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18379, 587, 18373])).
% 20.12/13.73 tff(18381,plain,
% 20.12/13.73 (v84(constB150, bitIndex0)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18380, 18276])).
% 20.12/13.73 tff(18382,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18383,plain,
% 20.12/13.73 (((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0)) <=> ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 20.12/13.73 inference(rewrite,[status(thm)],[])).
% 20.12/13.73 tff(18384,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0)))),
% 20.12/13.73 inference(monotonicity,[status(thm)],[18383])).
% 20.12/13.73 tff(18385,plain,
% 20.12/13.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 20.12/13.73 inference(transitivity,[status(thm)],[18384, 18382])).
% 20.12/13.73 tff(18386,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))),
% 20.12/13.73 inference(quant_inst,[status(thm)],[])).
% 20.12/13.73 tff(18387,plain,
% 20.12/13.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0)),
% 20.12/13.73 inference(modus_ponens,[status(thm)],[18386, 18385])).
% 20.12/13.73 tff(18388,plain,
% 20.12/13.73 ((~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0)),
% 20.12/13.73 inference(unit_resolution,[status(thm)],[18387, 605, 18307])).
% 20.12/13.73 tff(18389,plain,
% 20.12/13.74 ((~v84(constB150, bitIndex0)) | v84(constB151, bitIndex0)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18388, 18319])).
% 20.12/13.74 tff(18390,plain,
% 20.12/13.74 (v84(constB151, bitIndex0)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18389, 18381])).
% 20.12/13.74 tff(18391,plain,
% 20.12/13.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18392,plain,
% 20.12/13.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18393,plain,
% 20.12/13.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 20.12/13.74 tff(18394,plain,
% 20.12/13.74 (v116(constB151)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18393, 1176, 18390, 18359, 18328])).
% 20.12/13.74 tff(18395,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB151) | (~v116(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18396,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB151) | (~v116(constB151)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18397,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB151) | (~v116(constB151))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18396, 18395])).
% 20.12/13.74 tff(18398,plain,
% 20.12/13.74 (v110(constB151)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18397, 1187, 18394])).
% 20.12/13.74 tff(18399,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB151) | (~v110(constB151)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB151) | (~v110(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18400,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB151) | (~v110(constB151)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18401,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB151) | (~v110(constB151))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18400, 18399])).
% 20.12/13.74 tff(18402,plain,
% 20.12/13.74 (v109(constB151)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18401, 228, 18398])).
% 20.12/13.74 tff(18403,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB151) | (~v109(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB151) | (~v109(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18404,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB151) | (~v109(constB151)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18405,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB151) | (~v109(constB151))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18404, 18403])).
% 20.12/13.74 tff(18406,plain,
% 20.12/13.74 (v108(constB151)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18405, 239, 18402])).
% 20.12/13.74 tff(18407,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB151) | (~v108(constB151)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB151) | (~v108(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18408,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB151) | (~v108(constB151)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18409,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB151) | (~v108(constB151))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18408, 18407])).
% 20.12/13.74 tff(18410,plain,
% 20.12/13.74 (v107(constB151)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18409, 250, 18406])).
% 20.12/13.74 tff(18411,assumption,(v26(constB151)), introduced(assumption)).
% 20.12/13.74 tff(18412,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18413,plain,
% 20.12/13.74 ($false),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18412, 18, 18411])).
% 20.12/13.74 tff(18414,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.74 tff(18415,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | v106(constB151) | (~v107(constB151)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18416,plain,
% 20.12/13.74 ((v26(constB151) | (~v107(constB151)) | v106(constB151)) <=> (v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18417,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | v106(constB151) | (~v107(constB151))))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18416])).
% 20.12/13.74 tff(18418,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 20.12/13.74 inference(transitivity,[status(thm)],[18417, 18415])).
% 20.12/13.74 tff(18419,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18420,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18419, 18418])).
% 20.12/13.74 tff(18421,plain,
% 20.12/13.74 (v106(constB151) | (~v107(constB151))),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18420, 264, 18414])).
% 20.12/13.74 tff(18422,plain,
% 20.12/13.74 (v106(constB151)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18421, 18410])).
% 20.12/13.74 tff(18423,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB151) | (~v106(constB151)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB151) | (~v106(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18424,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB151) | (~v106(constB151)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18425,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB151) | (~v106(constB151))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18424, 18423])).
% 20.12/13.74 tff(18426,plain,
% 20.12/13.74 (v102(constB151)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18425, 276, 18422])).
% 20.12/13.74 tff(18427,plain,
% 20.12/13.74 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18428,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 20.12/13.74 tff(18429,plain,
% 20.12/13.74 (nextState(constB151, constB152)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18428, 18427])).
% 20.12/13.74 tff(18430,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18431,plain,
% 20.12/13.74 (((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152)) <=> ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18432,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151))))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18431])).
% 20.12/13.74 tff(18433,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 20.12/13.74 inference(transitivity,[status(thm)],[18432, 18430])).
% 20.12/13.74 tff(18434,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18435,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18434, 18433])).
% 20.12/13.74 tff(18436,plain,
% 20.12/13.74 (v104(constB152) | (~v102(constB151))),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18435, 293, 18429])).
% 20.12/13.74 tff(18437,plain,
% 20.12/13.74 (v104(constB152)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18436, 18426])).
% 20.12/13.74 tff(18438,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18439,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18440,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18439, 18438])).
% 20.12/13.74 tff(18441,plain,
% 20.12/13.74 (~v98(constB152)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18440, 311, 18429, 18304])).
% 20.12/13.74 tff(18442,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18443,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18444,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB151, constB152)) | v96(constB152) | v98(constB152)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18443, 18442])).
% 20.12/13.74 tff(18445,plain,
% 20.12/13.74 (v96(constB152) | v98(constB152)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18444, 325, 18429])).
% 20.12/13.74 tff(18446,plain,
% 20.12/13.74 (v96(constB152)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18445, 18441])).
% 20.12/13.74 tff(18447,plain,
% 20.12/13.74 (v1(constB152) <=> v1(constB152)),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18448,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 20.12/13.74 tff(18449,plain,
% 20.12/13.74 (v1(constB152)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 20.12/13.74 tff(18450,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18451,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18452,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18451, 18450])).
% 20.12/13.74 tff(18453,plain,
% 20.12/13.74 (v95(constB152) | (~v96(constB152))),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18452, 343, 18429, 18449])).
% 20.12/13.74 tff(18454,plain,
% 20.12/13.74 (v95(constB152)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18453, 18446])).
% 20.12/13.74 tff(18455,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18456,plain,
% 20.12/13.74 (((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152)) <=> ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18457,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152))))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18456])).
% 20.12/13.74 tff(18458,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 20.12/13.74 inference(transitivity,[status(thm)],[18457, 18455])).
% 20.12/13.74 tff(18459,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18460,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18459, 18458])).
% 20.12/13.74 tff(18461,plain,
% 20.12/13.74 (v94(constB152) | (~v95(constB152)) | (~v104(constB152))),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18460, 358, 18429])).
% 20.12/13.74 tff(18462,plain,
% 20.12/13.74 (v94(constB152) | (~v104(constB152))),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18461, 18454])).
% 20.12/13.74 tff(18463,plain,
% 20.12/13.74 (v94(constB152)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18462, 18437])).
% 20.12/13.74 tff(18464,plain,
% 20.12/13.74 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB151)) | v124(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB151)) | v124(constB151, bitIndex2))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18465,plain,
% 20.12/13.74 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB151)) | v124(constB151, bitIndex2))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18466,plain,
% 20.12/13.74 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB151)) | v124(constB151, bitIndex2)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18465, 18464])).
% 20.12/13.74 tff(18467,plain,
% 20.12/13.74 (v124(constB151, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18466, 1259, 18394])).
% 20.12/13.74 tff(18468,plain,
% 20.12/13.74 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18469,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18470,plain,
% 20.12/13.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18469, 18468])).
% 20.12/13.74 tff(18471,plain,
% 20.12/13.74 ((~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18470, 1273, 18414])).
% 20.12/13.74 tff(18472,plain,
% 20.12/13.74 (v121(constB151, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18471, 18467])).
% 20.12/13.74 tff(18473,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18474,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18475,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18474, 18473])).
% 20.12/13.74 tff(18476,plain,
% 20.12/13.74 ((~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18475, 1288, 18429])).
% 20.12/13.74 tff(18477,plain,
% 20.12/13.74 (v123(constB152, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18476, 18472])).
% 20.12/13.74 tff(18478,plain,
% 20.12/13.74 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18479,plain,
% 20.12/13.74 ((v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2))) <=> (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18480,plain,
% 20.12/13.74 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152))))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18479])).
% 20.12/13.74 tff(18481,plain,
% 20.12/13.74 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 20.12/13.74 inference(transitivity,[status(thm)],[18480, 18478])).
% 20.12/13.74 tff(18482,plain,
% 20.12/13.74 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18483,plain,
% 20.12/13.74 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18482, 18481])).
% 20.12/13.74 tff(18484,plain,
% 20.12/13.74 (v84(constB152, bitIndex2) | (~v94(constB152))),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18483, 1303, 18477])).
% 20.12/13.74 tff(18485,plain,
% 20.12/13.74 (v84(constB152, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18484, 18463])).
% 20.12/13.74 tff(18486,plain,
% 20.12/13.74 ((~v1(constB153)) <=> (~v1(constB153))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18487,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 20.12/13.74 tff(18488,plain,
% 20.12/13.74 (~v1(constB153)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18487, 18486])).
% 20.12/13.74 tff(18489,plain,
% 20.12/13.74 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18490,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 20.12/13.74 tff(18491,plain,
% 20.12/13.74 (nextState(constB152, constB153)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 20.12/13.74 tff(18492,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18493,plain,
% 20.12/13.74 (((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18494,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153))))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18493])).
% 20.12/13.74 tff(18495,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 20.12/13.74 inference(transitivity,[status(thm)],[18494, 18492])).
% 20.12/13.74 tff(18496,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18497,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18496, 18495])).
% 20.12/13.74 tff(18498,plain,
% 20.12/13.74 (~v95(constB153)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18497, 89, 18491, 18488])).
% 20.12/13.74 tff(18499,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18500,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18501,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153))),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18500, 18499])).
% 20.12/13.74 tff(18502,plain,
% 20.12/13.74 (v95(constB153) | (~v94(constB153))),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18501, 106, 18491])).
% 20.12/13.74 tff(18503,plain,
% 20.12/13.74 (~v94(constB153)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18502, 18498])).
% 20.12/13.74 tff(18504,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18505,plain,
% 20.12/13.74 (((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2)) <=> ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 20.12/13.74 inference(rewrite,[status(thm)],[])).
% 20.12/13.74 tff(18506,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2)))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18505])).
% 20.12/13.74 tff(18507,plain,
% 20.12/13.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 20.12/13.74 inference(transitivity,[status(thm)],[18506, 18504])).
% 20.12/13.74 tff(18508,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))),
% 20.12/13.74 inference(quant_inst,[status(thm)],[])).
% 20.12/13.74 tff(18509,plain,
% 20.12/13.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[18508, 18507])).
% 20.12/13.74 tff(18510,plain,
% 20.12/13.74 ((~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18509, 1339, 18491])).
% 20.12/13.74 tff(18511,plain,
% 20.12/13.74 ((~v84(constB152, bitIndex2)) | v84(constB153, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18510, 18503])).
% 20.12/13.74 tff(18512,plain,
% 20.12/13.74 (v84(constB153, bitIndex2)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18511, 18485])).
% 20.12/13.74 tff(18513,plain,
% 20.12/13.74 ($false),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18512, 17552])).
% 20.12/13.74 tff(18514,plain,((~(constB153 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.74 tff(18515,plain,
% 20.12/13.74 (~(constB153 = sK0_VarCurr)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18514, 5])).
% 20.12/13.74 tff(18516,assumption,(constB117 = sK0_VarCurr), introduced(assumption)).
% 20.12/13.74 tff(18517,plain,
% 20.12/13.74 (v84(constB117, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18516])).
% 20.12/13.74 tff(18518,plain,
% 20.12/13.74 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB117, bitIndex2)),
% 20.12/13.74 inference(symmetry,[status(thm)],[18517])).
% 20.12/13.74 tff(18519,plain,
% 20.12/13.74 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB117, bitIndex2))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18518])).
% 20.12/13.74 tff(18520,plain,
% 20.12/13.74 (~v84(constB117, bitIndex2)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[5, 18519])).
% 20.12/13.74 tff(18521,plain,
% 20.12/13.74 ($false),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[14949, 18520])).
% 20.12/13.74 tff(18522,plain,((~(constB117 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.74 tff(18523,plain,
% 20.12/13.74 (~(constB117 = sK0_VarCurr)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18522, 5])).
% 20.12/13.74 tff(18524,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 20.12/13.74 tff(18525,plain,
% 20.12/13.74 (v84(constB129, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18524])).
% 20.12/13.74 tff(18526,plain,
% 20.12/13.74 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB129, bitIndex2)),
% 20.12/13.74 inference(symmetry,[status(thm)],[18525])).
% 20.12/13.74 tff(18527,plain,
% 20.12/13.74 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB129, bitIndex2))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18526])).
% 20.12/13.74 tff(18528,plain,
% 20.12/13.74 (~v84(constB129, bitIndex2)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[5, 18527])).
% 20.12/13.74 tff(18529,plain,
% 20.12/13.74 ($false),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[16005, 18528])).
% 20.12/13.74 tff(18530,plain,((~(constB129 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.74 tff(18531,plain,
% 20.12/13.74 (~(constB129 = sK0_VarCurr)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18530, 5])).
% 20.12/13.74 tff(18532,assumption,(constB105 = sK0_VarCurr), introduced(assumption)).
% 20.12/13.74 tff(18533,plain,
% 20.12/13.74 (v84(constB105, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18532])).
% 20.12/13.74 tff(18534,plain,
% 20.12/13.74 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB105, bitIndex2)),
% 20.12/13.74 inference(symmetry,[status(thm)],[18533])).
% 20.12/13.74 tff(18535,plain,
% 20.12/13.74 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB105, bitIndex2))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18534])).
% 20.12/13.74 tff(18536,plain,
% 20.12/13.74 (~v84(constB105, bitIndex2)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[5, 18535])).
% 20.12/13.74 tff(18537,plain,
% 20.12/13.74 ($false),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[13571, 18536])).
% 20.12/13.74 tff(18538,plain,((~(constB105 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.74 tff(18539,plain,
% 20.12/13.74 (~(constB105 = sK0_VarCurr)),
% 20.12/13.74 inference(unit_resolution,[status(thm)],[18538, 5])).
% 20.12/13.74 tff(18540,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 20.12/13.74 tff(18541,plain,
% 20.12/13.74 (v84(constB141, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18540])).
% 20.12/13.74 tff(18542,plain,
% 20.12/13.74 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB141, bitIndex2)),
% 20.12/13.74 inference(symmetry,[status(thm)],[18541])).
% 20.12/13.74 tff(18543,plain,
% 20.12/13.74 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB141, bitIndex2))),
% 20.12/13.74 inference(monotonicity,[status(thm)],[18542])).
% 20.12/13.74 tff(18544,plain,
% 20.12/13.74 (~v84(constB141, bitIndex2)),
% 20.12/13.74 inference(modus_ponens,[status(thm)],[5, 18543])).
% 20.12/13.75 tff(18545,plain,
% 20.12/13.75 ($false),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[17458, 18544])).
% 20.12/13.75 tff(18546,plain,((~(constB141 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.75 tff(18547,plain,
% 20.12/13.75 (~(constB141 = sK0_VarCurr)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18546, 5])).
% 20.12/13.75 tff(18548,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 20.12/13.75 tff(18549,plain,
% 20.12/13.75 (v84(constB69, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18548])).
% 20.12/13.75 tff(18550,plain,
% 20.12/13.75 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB69, bitIndex2)),
% 20.12/13.75 inference(symmetry,[status(thm)],[18549])).
% 20.12/13.75 tff(18551,plain,
% 20.12/13.75 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB69, bitIndex2))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18550])).
% 20.12/13.75 tff(18552,plain,
% 20.12/13.75 (~v84(constB69, bitIndex2)),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[5, 18551])).
% 20.12/13.75 tff(18553,plain,
% 20.12/13.75 ($false),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[7690, 18552])).
% 20.12/13.75 tff(18554,plain,((~(constB69 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.75 tff(18555,plain,
% 20.12/13.75 (~(constB69 = sK0_VarCurr)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18554, 5])).
% 20.12/13.75 tff(18556,plain,
% 20.12/13.75 (v84(constB189, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.12/13.75 inference(monotonicity,[status(thm)],[1])).
% 20.12/13.75 tff(18557,plain,
% 20.12/13.75 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB189, bitIndex2)),
% 20.12/13.75 inference(symmetry,[status(thm)],[18556])).
% 20.12/13.75 tff(18558,plain,
% 20.12/13.75 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB189, bitIndex2))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18557])).
% 20.12/13.75 tff(18559,plain,
% 20.12/13.75 (~v84(constB189, bitIndex2)),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[5, 18558])).
% 20.12/13.75 tff(18560,assumption,(v26(constB153)), introduced(assumption)).
% 20.12/13.75 tff(18561,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18562,plain,
% 20.12/13.75 ($false),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18561, 18, 18560])).
% 20.12/13.75 tff(18563,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.75 tff(18564,assumption,(~v26(constB153)), introduced(assumption)).
% 20.12/13.75 tff(18565,plain,
% 20.12/13.75 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB151)) | (~v124(constB151, bitIndex1)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18566,plain,
% 20.12/13.75 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex1)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18567,plain,
% 20.12/13.75 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB151)) | (~v124(constB151, bitIndex1))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18566, 18565])).
% 20.12/13.75 tff(18568,plain,
% 20.12/13.75 (~v124(constB151, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18567, 1358, 18394])).
% 20.12/13.75 tff(18569,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18570,plain,
% 20.12/13.75 ((v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1))) <=> ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18571,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1)))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18570])).
% 20.12/13.75 tff(18572,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 20.12/13.75 inference(transitivity,[status(thm)],[18571, 18569])).
% 20.12/13.75 tff(18573,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18574,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1)),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18573, 18572])).
% 20.12/13.75 tff(18575,plain,
% 20.12/13.75 ((~v121(constB151, bitIndex1)) | v124(constB151, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18574, 483, 18414])).
% 20.12/13.75 tff(18576,plain,
% 20.12/13.75 (~v121(constB151, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18575, 18568])).
% 20.12/13.75 tff(18577,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18578,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18579,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18578, 18577])).
% 20.12/13.75 tff(18580,plain,
% 20.12/13.75 (v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18579, 501, 18429])).
% 20.12/13.75 tff(18581,plain,
% 20.12/13.75 (~v123(constB152, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18580, 18576])).
% 20.12/13.75 tff(18582,plain,
% 20.12/13.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18583,plain,
% 20.12/13.75 (((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1)) <=> ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18584,plain,
% 20.12/13.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152))))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18583])).
% 20.12/13.75 tff(18585,plain,
% 20.12/13.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 20.12/13.75 inference(transitivity,[status(thm)],[18584, 18582])).
% 20.12/13.75 tff(18586,plain,
% 20.12/13.75 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18587,plain,
% 20.12/13.75 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18586, 18585])).
% 20.12/13.75 tff(18588,plain,
% 20.12/13.75 ((~v84(constB152, bitIndex1)) | (~v94(constB152))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18587, 516, 18581])).
% 20.12/13.75 tff(18589,plain,
% 20.12/13.75 (~v84(constB152, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18588, 18463])).
% 20.12/13.75 tff(18590,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18591,plain,
% 20.12/13.75 (((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1))) <=> (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18592,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1))))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18591])).
% 20.12/13.75 tff(18593,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 20.12/13.75 inference(transitivity,[status(thm)],[18592, 18590])).
% 20.12/13.75 tff(18594,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18595,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18594, 18593])).
% 20.12/13.75 tff(18596,plain,
% 20.12/13.75 (v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18595, 142, 18491])).
% 20.12/13.75 tff(18597,plain,
% 20.12/13.75 (v84(constB152, bitIndex1) | (~v84(constB153, bitIndex1))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18596, 18503])).
% 20.12/13.75 tff(18598,plain,
% 20.12/13.75 (~v84(constB153, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18597, 18589])).
% 20.12/13.75 tff(18599,plain,
% 20.12/13.75 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB151)) | (~v124(constB151, bitIndex0)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18600,plain,
% 20.12/13.75 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex0)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18601,plain,
% 20.12/13.75 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB151)) | (~v124(constB151, bitIndex0))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18600, 18599])).
% 20.12/13.75 tff(18602,plain,
% 20.12/13.75 (~v124(constB151, bitIndex0)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18601, 1402, 18394])).
% 20.12/13.75 tff(18603,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18604,plain,
% 20.12/13.75 ((v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0))) <=> ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18605,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0)))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18604])).
% 20.12/13.75 tff(18606,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 20.12/13.75 inference(transitivity,[status(thm)],[18605, 18603])).
% 20.12/13.75 tff(18607,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18608,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0)),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18607, 18606])).
% 20.12/13.75 tff(18609,plain,
% 20.12/13.75 ((~v121(constB151, bitIndex0)) | v124(constB151, bitIndex0)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18608, 885, 18414])).
% 20.12/13.75 tff(18610,plain,
% 20.12/13.75 (~v121(constB151, bitIndex0)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18609, 18602])).
% 20.12/13.75 tff(18611,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18612,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18613,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18612, 18611])).
% 20.12/13.75 tff(18614,plain,
% 20.12/13.75 (v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18613, 903, 18429])).
% 20.12/13.75 tff(18615,plain,
% 20.12/13.75 (~v123(constB152, bitIndex0)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18614, 18610])).
% 20.12/13.75 tff(18616,plain,
% 20.12/13.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18617,plain,
% 20.12/13.75 (((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0)) <=> ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18618,plain,
% 20.12/13.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152))))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18617])).
% 20.12/13.75 tff(18619,plain,
% 20.12/13.75 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 20.12/13.75 inference(transitivity,[status(thm)],[18618, 18616])).
% 20.12/13.75 tff(18620,plain,
% 20.12/13.75 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18621,plain,
% 20.12/13.75 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18620, 18619])).
% 20.12/13.75 tff(18622,plain,
% 20.12/13.75 ((~v84(constB152, bitIndex0)) | (~v94(constB152))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18621, 918, 18615])).
% 20.12/13.75 tff(18623,plain,
% 20.12/13.75 (~v84(constB152, bitIndex0)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18622, 18463])).
% 20.12/13.75 tff(18624,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18625,plain,
% 20.12/13.75 (((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0))) <=> (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18626,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0))))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18625])).
% 20.12/13.75 tff(18627,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 20.12/13.75 inference(transitivity,[status(thm)],[18626, 18624])).
% 20.12/13.75 tff(18628,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18629,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 20.12/13.75 tff(18630,plain,
% 20.12/13.75 (v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18629, 163, 18491])).
% 20.12/13.75 tff(18631,plain,
% 20.12/13.75 (v84(constB152, bitIndex0) | (~v84(constB153, bitIndex0))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18630, 18503])).
% 20.12/13.75 tff(18632,plain,
% 20.12/13.75 (~v84(constB153, bitIndex0)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18631, 18623])).
% 20.12/13.75 tff(18633,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18634,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18635,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153)),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18634, 18633])).
% 20.12/13.75 tff(18636,plain,
% 20.12/13.75 (v172(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18635, 1446, 18632, 18598, 18512])).
% 20.12/13.75 tff(18637,plain,
% 20.12/13.75 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB153)) | (~v124(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB153)) | (~v124(constB153, bitIndex1)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18638,plain,
% 20.12/13.75 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB153)) | (~v124(constB153, bitIndex1)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18639,plain,
% 20.12/13.75 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB153)) | (~v124(constB153, bitIndex1))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18638, 18637])).
% 20.12/13.75 tff(18640,plain,
% 20.12/13.75 (~v124(constB153, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18639, 1587, 18636])).
% 20.12/13.75 tff(18641,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18642,plain,
% 20.12/13.75 ((v26(constB153) | v124(constB153, bitIndex1) | (~v121(constB153, bitIndex1))) <=> ((~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18643,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB153) | v124(constB153, bitIndex1) | (~v121(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1)))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18642])).
% 20.12/13.75 tff(18644,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB153) | v124(constB153, bitIndex1) | (~v121(constB153, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1))),
% 20.12/13.75 inference(transitivity,[status(thm)],[18643, 18641])).
% 20.12/13.75 tff(18645,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB153) | v124(constB153, bitIndex1) | (~v121(constB153, bitIndex1)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18646,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1)),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18645, 18644])).
% 20.12/13.75 tff(18647,plain,
% 20.12/13.75 ((~v121(constB153, bitIndex1)) | v26(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18646, 483, 18640])).
% 20.12/13.75 tff(18648,plain,
% 20.12/13.75 (~v121(constB153, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18647, 18564])).
% 20.12/13.75 tff(18649,plain,
% 20.12/13.75 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18650,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 20.12/13.75 tff(18651,plain,
% 20.12/13.75 (nextState(constB153, constB154)),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18650, 18649])).
% 20.12/13.75 tff(18652,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18653,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18654,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18653, 18652])).
% 20.12/13.75 tff(18655,plain,
% 20.12/13.75 (v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18654, 501, 18651])).
% 20.12/13.75 tff(18656,plain,
% 20.12/13.75 (~v123(constB154, bitIndex1)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18655, 18648])).
% 20.12/13.75 tff(18657,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB153) | (~v172(constB153)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB153) | (~v172(constB153)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18658,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB153) | (~v172(constB153)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18659,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB153) | (~v172(constB153))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18658, 18657])).
% 20.12/13.75 tff(18660,plain,
% 20.12/13.75 (v109(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18659, 1457, 18636])).
% 20.12/13.75 tff(18661,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB153) | (~v109(constB153)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB153) | (~v109(constB153)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18662,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB153) | (~v109(constB153)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18663,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB153) | (~v109(constB153))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18662, 18661])).
% 20.12/13.75 tff(18664,plain,
% 20.12/13.75 (v108(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18663, 239, 18660])).
% 20.12/13.75 tff(18665,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB153) | (~v108(constB153)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB153) | (~v108(constB153)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18666,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB153) | (~v108(constB153)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18667,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB153) | (~v108(constB153))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18666, 18665])).
% 20.12/13.75 tff(18668,plain,
% 20.12/13.75 (v107(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18667, 250, 18664])).
% 20.12/13.75 tff(18669,assumption,(~v102(constB153)), introduced(assumption)).
% 20.12/13.75 tff(18670,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB153) | (~v106(constB153)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB153) | (~v106(constB153)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18671,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB153) | (~v106(constB153)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18672,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB153) | (~v106(constB153))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18671, 18670])).
% 20.12/13.75 tff(18673,plain,
% 20.12/13.75 (~v106(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18672, 276, 18669])).
% 20.12/13.75 tff(18674,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB153) | (~v26(constB153)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB153) | (~v26(constB153)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18675,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB153) | (~v26(constB153)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18676,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB153) | (~v26(constB153))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18675, 18674])).
% 20.12/13.75 tff(18677,plain,
% 20.12/13.75 (~v26(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18676, 670, 18669])).
% 20.12/13.75 tff(18678,assumption,(v107(constB153)), introduced(assumption)).
% 20.12/13.75 tff(18679,plain,
% 20.12/13.75 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB153) | (~v107(constB153)) | v106(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB153) | (~v107(constB153)) | v106(constB153))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18680,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB153) | (~v107(constB153)) | v106(constB153))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18681,plain,
% 20.12/13.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB153) | (~v107(constB153)) | v106(constB153)),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 20.12/13.75 tff(18682,plain,
% 20.12/13.75 (v26(constB153) | v106(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18681, 264, 18678])).
% 20.12/13.75 tff(18683,plain,
% 20.12/13.75 ($false),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18682, 18677, 18673])).
% 20.12/13.75 tff(18684,plain,(v102(constB153) | (~v107(constB153))), inference(lemma,lemma(discharge,[]))).
% 20.12/13.75 tff(18685,plain,
% 20.12/13.75 (v102(constB153)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18684, 18668])).
% 20.12/13.75 tff(18686,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18687,plain,
% 20.12/13.75 (((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154)) <=> ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18688,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153))))),
% 20.12/13.75 inference(monotonicity,[status(thm)],[18687])).
% 20.12/13.75 tff(18689,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 20.12/13.75 inference(transitivity,[status(thm)],[18688, 18686])).
% 20.12/13.75 tff(18690,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18691,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18690, 18689])).
% 20.12/13.75 tff(18692,plain,
% 20.12/13.75 (v104(constB154) | (~v102(constB153))),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18691, 293, 18651])).
% 20.12/13.75 tff(18693,plain,
% 20.12/13.75 (v104(constB154)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18692, 18685])).
% 20.12/13.75 tff(18694,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18695,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18696,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154))),
% 20.12/13.75 inference(modus_ponens,[status(thm)],[18695, 18694])).
% 20.12/13.75 tff(18697,plain,
% 20.12/13.75 (~v98(constB154)),
% 20.12/13.75 inference(unit_resolution,[status(thm)],[18696, 311, 18651, 18488])).
% 20.12/13.75 tff(18698,plain,
% 20.12/13.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))),
% 20.12/13.75 inference(rewrite,[status(thm)],[])).
% 20.12/13.75 tff(18699,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))),
% 20.12/13.75 inference(quant_inst,[status(thm)],[])).
% 20.12/13.75 tff(18700,plain,
% 20.12/13.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB153, constB154)) | v96(constB154) | v98(constB154)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18699, 18698])).
% 20.12/13.76 tff(18701,plain,
% 20.12/13.76 (v96(constB154) | v98(constB154)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18700, 325, 18651])).
% 20.12/13.76 tff(18702,plain,
% 20.12/13.76 (v96(constB154)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18701, 18697])).
% 20.12/13.76 tff(18703,plain,
% 20.12/13.76 (v1(constB154) <=> v1(constB154)),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18704,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 20.12/13.76 tff(18705,plain,
% 20.12/13.76 (v1(constB154)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18704, 18703])).
% 20.12/13.76 tff(18706,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18707,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18708,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154))),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 20.12/13.76 tff(18709,plain,
% 20.12/13.76 (v95(constB154) | (~v96(constB154))),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18708, 343, 18651, 18705])).
% 20.12/13.76 tff(18710,plain,
% 20.12/13.76 (v95(constB154)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18709, 18702])).
% 20.12/13.76 tff(18711,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18712,plain,
% 20.12/13.76 (((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154)) <=> ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18713,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154))))),
% 20.12/13.76 inference(monotonicity,[status(thm)],[18712])).
% 20.12/13.76 tff(18714,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 20.12/13.76 inference(transitivity,[status(thm)],[18713, 18711])).
% 20.12/13.76 tff(18715,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18716,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154))),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18715, 18714])).
% 20.12/13.76 tff(18717,plain,
% 20.12/13.76 (v94(constB154) | (~v95(constB154)) | (~v104(constB154))),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18716, 358, 18651])).
% 20.12/13.76 tff(18718,plain,
% 20.12/13.76 (v94(constB154) | (~v104(constB154))),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18717, 18710])).
% 20.12/13.76 tff(18719,plain,
% 20.12/13.76 (v94(constB154)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18718, 18693])).
% 20.12/13.76 tff(18720,plain,
% 20.12/13.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18721,plain,
% 20.12/13.76 (((~v84(constB154, bitIndex1)) | (~v94(constB154)) | v123(constB154, bitIndex1)) <=> ((~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18722,plain,
% 20.12/13.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~v94(constB154)) | v123(constB154, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154))))),
% 20.12/13.76 inference(monotonicity,[status(thm)],[18721])).
% 20.12/13.76 tff(18723,plain,
% 20.12/13.76 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~v94(constB154)) | v123(constB154, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154)))),
% 20.12/13.76 inference(transitivity,[status(thm)],[18722, 18720])).
% 20.12/13.76 tff(18724,plain,
% 20.12/13.76 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~v94(constB154)) | v123(constB154, bitIndex1))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18725,plain,
% 20.12/13.76 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154))),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 20.12/13.76 tff(18726,plain,
% 20.12/13.76 ((~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18725, 516, 18719])).
% 20.12/13.76 tff(18727,plain,
% 20.12/13.76 (~v84(constB154, bitIndex1)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18726, 18656])).
% 20.12/13.76 tff(18728,plain,
% 20.12/13.76 ((~v1(constB155)) <=> (~v1(constB155))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18729,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 20.12/13.76 tff(18730,plain,
% 20.12/13.76 (~v1(constB155)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18729, 18728])).
% 20.12/13.76 tff(18731,plain,
% 20.12/13.76 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18732,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 20.12/13.76 tff(18733,plain,
% 20.12/13.76 (nextState(constB154, constB155)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18732, 18731])).
% 20.12/13.76 tff(18734,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18735,plain,
% 20.12/13.76 (((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18736,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155))))),
% 20.12/13.76 inference(monotonicity,[status(thm)],[18735])).
% 20.12/13.76 tff(18737,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 20.12/13.76 inference(transitivity,[status(thm)],[18736, 18734])).
% 20.12/13.76 tff(18738,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18739,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155))),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18738, 18737])).
% 20.12/13.76 tff(18740,plain,
% 20.12/13.76 (~v95(constB155)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18739, 89, 18733, 18730])).
% 20.12/13.76 tff(18741,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18742,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18743,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155))),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18742, 18741])).
% 20.12/13.76 tff(18744,plain,
% 20.12/13.76 (v95(constB155) | (~v94(constB155))),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18743, 106, 18733])).
% 20.12/13.76 tff(18745,plain,
% 20.12/13.76 (~v94(constB155)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18744, 18740])).
% 20.12/13.76 tff(18746,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18747,plain,
% 20.12/13.76 (((~nextState(constB154, constB155)) | v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1))) <=> (v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18748,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1))))),
% 20.12/13.76 inference(monotonicity,[status(thm)],[18747])).
% 20.12/13.76 tff(18749,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1)))),
% 20.12/13.76 inference(transitivity,[status(thm)],[18748, 18746])).
% 20.12/13.76 tff(18750,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1)))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18751,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1))),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18750, 18749])).
% 20.12/13.76 tff(18752,plain,
% 20.12/13.76 (v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1))),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18751, 142, 18733])).
% 20.12/13.76 tff(18753,plain,
% 20.12/13.76 (v84(constB154, bitIndex1) | (~v84(constB155, bitIndex1))),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18752, 18745])).
% 20.12/13.76 tff(18754,plain,
% 20.12/13.76 (~v84(constB155, bitIndex1)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18753, 18727])).
% 20.12/13.76 tff(18755,plain,
% 20.12/13.76 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB153)) | v124(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB153)) | v124(constB153, bitIndex0))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18756,plain,
% 20.12/13.76 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB153)) | v124(constB153, bitIndex0))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18757,plain,
% 20.12/13.76 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB153)) | v124(constB153, bitIndex0)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18756, 18755])).
% 20.12/13.76 tff(18758,plain,
% 20.12/13.76 (v124(constB153, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18757, 1631, 18636])).
% 20.12/13.76 tff(18759,plain,
% 20.12/13.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB153) | (~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB153) | (~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18760,plain,
% 20.12/13.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB153) | (~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18761,plain,
% 20.12/13.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB153) | (~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18760, 18759])).
% 20.12/13.76 tff(18762,plain,
% 20.12/13.76 (v26(constB153) | v121(constB153, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18761, 557, 18758])).
% 20.12/13.76 tff(18763,plain,
% 20.12/13.76 (v121(constB153, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18762, 18564])).
% 20.12/13.76 tff(18764,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18765,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18766,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18765, 18764])).
% 20.12/13.76 tff(18767,plain,
% 20.12/13.76 ((~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18766, 572, 18651])).
% 20.12/13.76 tff(18768,plain,
% 20.12/13.76 (v123(constB154, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18767, 18763])).
% 20.12/13.76 tff(18769,plain,
% 20.12/13.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18770,plain,
% 20.12/13.76 ((v84(constB154, bitIndex0) | (~v94(constB154)) | (~v123(constB154, bitIndex0))) <=> (v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18771,plain,
% 20.12/13.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v94(constB154)) | (~v123(constB154, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154))))),
% 20.12/13.76 inference(monotonicity,[status(thm)],[18770])).
% 20.12/13.76 tff(18772,plain,
% 20.12/13.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v94(constB154)) | (~v123(constB154, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154)))),
% 20.12/13.76 inference(transitivity,[status(thm)],[18771, 18769])).
% 20.12/13.76 tff(18773,plain,
% 20.12/13.76 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v94(constB154)) | (~v123(constB154, bitIndex0)))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18774,plain,
% 20.12/13.76 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154))),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18773, 18772])).
% 20.12/13.76 tff(18775,plain,
% 20.12/13.76 (v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0))),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18774, 587, 18719])).
% 20.12/13.76 tff(18776,plain,
% 20.12/13.76 (v84(constB154, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18775, 18768])).
% 20.12/13.76 tff(18777,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18778,plain,
% 20.12/13.76 (((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0)) <=> ((~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18779,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0)))),
% 20.12/13.76 inference(monotonicity,[status(thm)],[18778])).
% 20.12/13.76 tff(18780,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0))),
% 20.12/13.76 inference(transitivity,[status(thm)],[18779, 18777])).
% 20.12/13.76 tff(18781,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18782,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18781, 18780])).
% 20.12/13.76 tff(18783,plain,
% 20.12/13.76 ((~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18782, 605, 18733])).
% 20.12/13.76 tff(18784,plain,
% 20.12/13.76 ((~v84(constB154, bitIndex0)) | v84(constB155, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18783, 18745])).
% 20.12/13.76 tff(18785,plain,
% 20.12/13.76 (v84(constB155, bitIndex0)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18784, 18776])).
% 20.12/13.76 tff(18786,plain,
% 20.12/13.76 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB153)) | v124(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB153)) | v124(constB153, bitIndex2))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18787,plain,
% 20.12/13.76 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB153)) | v124(constB153, bitIndex2))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18788,plain,
% 20.12/13.76 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB153)) | v124(constB153, bitIndex2)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18787, 18786])).
% 20.12/13.76 tff(18789,plain,
% 20.12/13.76 (v124(constB153, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18788, 1528, 18636])).
% 20.12/13.76 tff(18790,plain,
% 20.12/13.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18791,plain,
% 20.12/13.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18792,plain,
% 20.12/13.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18791, 18790])).
% 20.12/13.76 tff(18793,plain,
% 20.12/13.76 (v26(constB153) | v121(constB153, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18792, 1273, 18789])).
% 20.12/13.76 tff(18794,plain,
% 20.12/13.76 (v121(constB153, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18793, 18564])).
% 20.12/13.76 tff(18795,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18796,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18797,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18796, 18795])).
% 20.12/13.76 tff(18798,plain,
% 20.12/13.76 ((~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18797, 1288, 18651])).
% 20.12/13.76 tff(18799,plain,
% 20.12/13.76 (v123(constB154, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18798, 18794])).
% 20.12/13.76 tff(18800,plain,
% 20.12/13.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18801,plain,
% 20.12/13.76 ((v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2))) <=> (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18802,plain,
% 20.12/13.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154))))),
% 20.12/13.76 inference(monotonicity,[status(thm)],[18801])).
% 20.12/13.76 tff(18803,plain,
% 20.12/13.76 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 20.12/13.76 inference(transitivity,[status(thm)],[18802, 18800])).
% 20.12/13.76 tff(18804,plain,
% 20.12/13.76 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18805,plain,
% 20.12/13.76 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154))),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18804, 18803])).
% 20.12/13.76 tff(18806,plain,
% 20.12/13.76 (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2))),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18805, 1303, 18719])).
% 20.12/13.76 tff(18807,plain,
% 20.12/13.76 (v84(constB154, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18806, 18799])).
% 20.12/13.76 tff(18808,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18809,plain,
% 20.12/13.76 (((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2)) <=> ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18810,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2)))),
% 20.12/13.76 inference(monotonicity,[status(thm)],[18809])).
% 20.12/13.76 tff(18811,plain,
% 20.12/13.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 20.12/13.76 inference(transitivity,[status(thm)],[18810, 18808])).
% 20.12/13.76 tff(18812,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18813,plain,
% 20.12/13.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2)),
% 20.12/13.76 inference(modus_ponens,[status(thm)],[18812, 18811])).
% 20.12/13.76 tff(18814,plain,
% 20.12/13.76 ((~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18813, 1339, 18733])).
% 20.12/13.76 tff(18815,plain,
% 20.12/13.76 ((~v84(constB154, bitIndex2)) | v84(constB155, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18814, 18745])).
% 20.12/13.76 tff(18816,plain,
% 20.12/13.76 (v84(constB155, bitIndex2)),
% 20.12/13.76 inference(unit_resolution,[status(thm)],[18815, 18807])).
% 20.12/13.76 tff(18817,assumption,(~v118(constB155)), introduced(assumption)).
% 20.12/13.76 tff(18818,plain,
% 20.12/13.76 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2)) | v118(constB155))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2)) | v118(constB155))),
% 20.12/13.76 inference(rewrite,[status(thm)],[])).
% 20.12/13.76 tff(18819,plain,
% 20.12/13.76 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2)) | v118(constB155))),
% 20.12/13.76 inference(quant_inst,[status(thm)],[])).
% 20.12/13.76 tff(18820,plain,
% 20.12/13.76 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2)) | v118(constB155)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18819, 18818])).
% 20.12/13.77 tff(18821,plain,
% 20.12/13.77 ((~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2))),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18820, 1672, 18817])).
% 20.12/13.77 tff(18822,plain,
% 20.12/13.77 ($false),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18821, 18816, 18785, 18754])).
% 20.12/13.77 tff(18823,plain,(v26(constB153) | v118(constB155)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.77 tff(18824,plain,
% 20.12/13.77 (v118(constB155)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18823, 18563])).
% 20.12/13.77 tff(18825,plain,
% 20.12/13.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB155) | (~v118(constB155)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB155) | (~v118(constB155)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18826,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB155) | (~v118(constB155)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18827,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB155) | (~v118(constB155))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18826, 18825])).
% 20.12/13.77 tff(18828,plain,
% 20.12/13.77 (v108(constB155)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18827, 1683, 18824])).
% 20.12/13.77 tff(18829,plain,
% 20.12/13.77 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB155) | (~v108(constB155)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB155) | (~v108(constB155)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18830,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB155) | (~v108(constB155)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18831,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB155) | (~v108(constB155))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18830, 18829])).
% 20.12/13.77 tff(18832,plain,
% 20.12/13.77 (v107(constB155)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18831, 250, 18828])).
% 20.12/13.77 tff(18833,assumption,(v26(constB155)), introduced(assumption)).
% 20.12/13.77 tff(18834,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18835,plain,
% 20.12/13.77 ($false),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18834, 18, 18833])).
% 20.12/13.77 tff(18836,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.77 tff(18837,plain,
% 20.12/13.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB155) | (~v107(constB155)) | v106(constB155))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB155) | (~v107(constB155)) | v106(constB155))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18838,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB155) | (~v107(constB155)) | v106(constB155))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18839,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB155) | (~v107(constB155)) | v106(constB155)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18838, 18837])).
% 20.12/13.77 tff(18840,plain,
% 20.12/13.77 ((~v107(constB155)) | v106(constB155)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18839, 264, 18836])).
% 20.12/13.77 tff(18841,plain,
% 20.12/13.77 (v106(constB155)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18840, 18832])).
% 20.12/13.77 tff(18842,plain,
% 20.12/13.77 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB155) | (~v106(constB155)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB155) | (~v106(constB155)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18843,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB155) | (~v106(constB155)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18844,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB155) | (~v106(constB155))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18843, 18842])).
% 20.12/13.77 tff(18845,plain,
% 20.12/13.77 (v102(constB155)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18844, 276, 18841])).
% 20.12/13.77 tff(18846,plain,
% 20.12/13.77 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18847,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 20.12/13.77 tff(18848,plain,
% 20.12/13.77 (nextState(constB155, constB156)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 20.12/13.77 tff(18849,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18850,plain,
% 20.12/13.77 (((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156)) <=> ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18851,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155))))),
% 20.12/13.77 inference(monotonicity,[status(thm)],[18850])).
% 20.12/13.77 tff(18852,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 20.12/13.77 inference(transitivity,[status(thm)],[18851, 18849])).
% 20.12/13.77 tff(18853,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18854,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18853, 18852])).
% 20.12/13.77 tff(18855,plain,
% 20.12/13.77 (v104(constB156) | (~v102(constB155))),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18854, 293, 18848])).
% 20.12/13.77 tff(18856,plain,
% 20.12/13.77 (v104(constB156)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18855, 18845])).
% 20.12/13.77 tff(18857,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18858,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18859,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 20.12/13.77 tff(18860,plain,
% 20.12/13.77 (~v98(constB156)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18859, 311, 18848, 18730])).
% 20.12/13.77 tff(18861,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18862,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18863,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB155, constB156)) | v96(constB156) | v98(constB156)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18862, 18861])).
% 20.12/13.77 tff(18864,plain,
% 20.12/13.77 (v96(constB156) | v98(constB156)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18863, 325, 18848])).
% 20.12/13.77 tff(18865,plain,
% 20.12/13.77 (v96(constB156)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18864, 18860])).
% 20.12/13.77 tff(18866,plain,
% 20.12/13.77 (v1(constB156) <=> v1(constB156)),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18867,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 20.12/13.77 tff(18868,plain,
% 20.12/13.77 (v1(constB156)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18867, 18866])).
% 20.12/13.77 tff(18869,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18870,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18871,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18870, 18869])).
% 20.12/13.77 tff(18872,plain,
% 20.12/13.77 (v95(constB156) | (~v96(constB156))),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18871, 343, 18848, 18868])).
% 20.12/13.77 tff(18873,plain,
% 20.12/13.77 (v95(constB156)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18872, 18865])).
% 20.12/13.77 tff(18874,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18875,plain,
% 20.12/13.77 (((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156)) <=> ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18876,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156))))),
% 20.12/13.77 inference(monotonicity,[status(thm)],[18875])).
% 20.12/13.77 tff(18877,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 20.12/13.77 inference(transitivity,[status(thm)],[18876, 18874])).
% 20.12/13.77 tff(18878,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18879,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18878, 18877])).
% 20.12/13.77 tff(18880,plain,
% 20.12/13.77 (v94(constB156) | (~v95(constB156)) | (~v104(constB156))),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18879, 358, 18848])).
% 20.12/13.77 tff(18881,plain,
% 20.12/13.77 (v94(constB156) | (~v104(constB156))),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18880, 18873])).
% 20.12/13.77 tff(18882,plain,
% 20.12/13.77 (v94(constB156)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18881, 18856])).
% 20.12/13.77 tff(18883,plain,
% 20.12/13.77 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB155)) | v124(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB155)) | v124(constB155, bitIndex1))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18884,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB155)) | v124(constB155, bitIndex1))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18885,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB155)) | v124(constB155, bitIndex1)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 20.12/13.77 tff(18886,plain,
% 20.12/13.77 (v124(constB155, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18885, 1809, 18824])).
% 20.12/13.77 tff(18887,plain,
% 20.12/13.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB155) | (~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB155) | (~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18888,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB155) | (~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18889,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB155) | (~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18888, 18887])).
% 20.12/13.77 tff(18890,plain,
% 20.12/13.77 ((~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18889, 804, 18836])).
% 20.12/13.77 tff(18891,plain,
% 20.12/13.77 (v121(constB155, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18890, 18886])).
% 20.12/13.77 tff(18892,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18893,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18894,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18893, 18892])).
% 20.12/13.77 tff(18895,plain,
% 20.12/13.77 ((~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18894, 819, 18848])).
% 20.12/13.77 tff(18896,plain,
% 20.12/13.77 (v123(constB156, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18895, 18891])).
% 20.12/13.77 tff(18897,plain,
% 20.12/13.77 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18898,plain,
% 20.12/13.77 ((v84(constB156, bitIndex1) | (~v94(constB156)) | (~v123(constB156, bitIndex1))) <=> (v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18899,plain,
% 20.12/13.77 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v94(constB156)) | (~v123(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156))))),
% 20.12/13.77 inference(monotonicity,[status(thm)],[18898])).
% 20.12/13.77 tff(18900,plain,
% 20.12/13.77 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v94(constB156)) | (~v123(constB156, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156)))),
% 20.12/13.77 inference(transitivity,[status(thm)],[18899, 18897])).
% 20.12/13.77 tff(18901,plain,
% 20.12/13.77 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v94(constB156)) | (~v123(constB156, bitIndex1)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18902,plain,
% 20.12/13.77 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18901, 18900])).
% 20.12/13.77 tff(18903,plain,
% 20.12/13.77 (v84(constB156, bitIndex1) | (~v94(constB156))),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18902, 834, 18896])).
% 20.12/13.77 tff(18904,plain,
% 20.12/13.77 (v84(constB156, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18903, 18882])).
% 20.12/13.77 tff(18905,plain,
% 20.12/13.77 ((~v1(constB157)) <=> (~v1(constB157))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18906,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 20.12/13.77 tff(18907,plain,
% 20.12/13.77 (~v1(constB157)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 20.12/13.77 tff(18908,plain,
% 20.12/13.77 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18909,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 20.12/13.77 tff(18910,plain,
% 20.12/13.77 (nextState(constB156, constB157)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18909, 18908])).
% 20.12/13.77 tff(18911,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18912,plain,
% 20.12/13.77 (((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18913,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157))))),
% 20.12/13.77 inference(monotonicity,[status(thm)],[18912])).
% 20.12/13.77 tff(18914,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 20.12/13.77 inference(transitivity,[status(thm)],[18913, 18911])).
% 20.12/13.77 tff(18915,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18916,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18915, 18914])).
% 20.12/13.77 tff(18917,plain,
% 20.12/13.77 (~v95(constB157)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18916, 89, 18910, 18907])).
% 20.12/13.77 tff(18918,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18919,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18920,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 20.12/13.77 tff(18921,plain,
% 20.12/13.77 (v95(constB157) | (~v94(constB157))),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18920, 106, 18910])).
% 20.12/13.77 tff(18922,plain,
% 20.12/13.77 (~v94(constB157)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18921, 18917])).
% 20.12/13.77 tff(18923,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18924,plain,
% 20.12/13.77 (((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1)) <=> ((~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18925,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1)))),
% 20.12/13.77 inference(monotonicity,[status(thm)],[18924])).
% 20.12/13.77 tff(18926,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1))),
% 20.12/13.77 inference(transitivity,[status(thm)],[18925, 18923])).
% 20.12/13.77 tff(18927,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18928,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18927, 18926])).
% 20.12/13.77 tff(18929,plain,
% 20.12/13.77 ((~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18928, 852, 18910])).
% 20.12/13.77 tff(18930,plain,
% 20.12/13.77 ((~v84(constB156, bitIndex1)) | v84(constB157, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18929, 18922])).
% 20.12/13.77 tff(18931,plain,
% 20.12/13.77 (v84(constB157, bitIndex1)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18930, 18904])).
% 20.12/13.77 tff(18932,plain,
% 20.12/13.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB157, bitIndex1)) | (~v118(constB157)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB157, bitIndex1)) | (~v118(constB157)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18933,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB157, bitIndex1)) | (~v118(constB157)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18934,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB157, bitIndex1)) | (~v118(constB157))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18933, 18932])).
% 20.12/13.77 tff(18935,plain,
% 20.12/13.77 (~v118(constB157)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18934, 2001, 18931])).
% 20.12/13.77 tff(18936,plain,
% 20.12/13.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB157, bitIndex1)) | (~v172(constB157)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB157, bitIndex1)) | (~v172(constB157)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18937,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB157, bitIndex1)) | (~v172(constB157)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18938,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB157, bitIndex1)) | (~v172(constB157))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18937, 18936])).
% 20.12/13.77 tff(18939,plain,
% 20.12/13.77 (~v172(constB157)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18938, 2023, 18931])).
% 20.12/13.77 tff(18940,plain,
% 20.12/13.77 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB157)) | (~v84(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB157)) | (~v84(constB157, bitIndex1)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18941,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB157)) | (~v84(constB157, bitIndex1)))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18942,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB157)) | (~v84(constB157, bitIndex1))),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18941, 18940])).
% 20.12/13.77 tff(18943,plain,
% 20.12/13.77 (~v113(constB157)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18942, 1990, 18931])).
% 20.12/13.77 tff(18944,plain,
% 20.12/13.77 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB155)) | v124(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB155)) | v124(constB155, bitIndex2))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18945,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB155)) | v124(constB155, bitIndex2))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18946,plain,
% 20.12/13.77 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB155)) | v124(constB155, bitIndex2)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18945, 18944])).
% 20.12/13.77 tff(18947,plain,
% 20.12/13.77 (v124(constB155, bitIndex2)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18946, 1750, 18824])).
% 20.12/13.77 tff(18948,plain,
% 20.12/13.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB155) | (~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB155) | (~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18949,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB155) | (~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18950,plain,
% 20.12/13.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB155) | (~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18949, 18948])).
% 20.12/13.77 tff(18951,plain,
% 20.12/13.77 ((~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18950, 1273, 18836])).
% 20.12/13.77 tff(18952,plain,
% 20.12/13.77 (v121(constB155, bitIndex2)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18951, 18947])).
% 20.12/13.77 tff(18953,plain,
% 20.12/13.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18954,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2))),
% 20.12/13.77 inference(quant_inst,[status(thm)],[])).
% 20.12/13.77 tff(18955,plain,
% 20.12/13.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2)),
% 20.12/13.77 inference(modus_ponens,[status(thm)],[18954, 18953])).
% 20.12/13.77 tff(18956,plain,
% 20.12/13.77 ((~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18955, 1288, 18848])).
% 20.12/13.77 tff(18957,plain,
% 20.12/13.77 (v123(constB156, bitIndex2)),
% 20.12/13.77 inference(unit_resolution,[status(thm)],[18956, 18952])).
% 20.12/13.77 tff(18958,plain,
% 20.12/13.77 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18959,plain,
% 20.12/13.77 ((v84(constB156, bitIndex2) | (~v94(constB156)) | (~v123(constB156, bitIndex2))) <=> (v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156)))),
% 20.12/13.77 inference(rewrite,[status(thm)],[])).
% 20.12/13.77 tff(18960,plain,
% 20.12/13.77 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v94(constB156)) | (~v123(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156))))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[18959])).
% 20.12/13.78 tff(18961,plain,
% 20.12/13.78 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v94(constB156)) | (~v123(constB156, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156)))),
% 20.12/13.78 inference(transitivity,[status(thm)],[18960, 18958])).
% 20.12/13.78 tff(18962,plain,
% 20.12/13.78 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v94(constB156)) | (~v123(constB156, bitIndex2)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(18963,plain,
% 20.12/13.78 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[18962, 18961])).
% 20.12/13.78 tff(18964,plain,
% 20.12/13.78 (v84(constB156, bitIndex2) | (~v94(constB156))),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18963, 1303, 18957])).
% 20.12/13.78 tff(18965,plain,
% 20.12/13.78 (v84(constB156, bitIndex2)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18964, 18882])).
% 20.12/13.78 tff(18966,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(18967,plain,
% 20.12/13.78 (((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2)) <=> ((~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(18968,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2)))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[18967])).
% 20.12/13.78 tff(18969,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2))),
% 20.12/13.78 inference(transitivity,[status(thm)],[18968, 18966])).
% 20.12/13.78 tff(18970,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(18971,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[18970, 18969])).
% 20.12/13.78 tff(18972,plain,
% 20.12/13.78 ((~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18971, 1339, 18910])).
% 20.12/13.78 tff(18973,plain,
% 20.12/13.78 ((~v84(constB156, bitIndex2)) | v84(constB157, bitIndex2)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18972, 18922])).
% 20.12/13.78 tff(18974,plain,
% 20.12/13.78 (v84(constB157, bitIndex2)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18973, 18965])).
% 20.12/13.78 tff(18975,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB157, bitIndex2)) | (~v115(constB157)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB157, bitIndex2)) | (~v115(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(18976,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB157, bitIndex2)) | (~v115(constB157)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(18977,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB157, bitIndex2)) | (~v115(constB157))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 20.12/13.78 tff(18978,plain,
% 20.12/13.78 (~v115(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18977, 1965, 18974])).
% 20.12/13.78 tff(18979,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB157, bitIndex2)) | (~v116(constB157)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB157, bitIndex2)) | (~v116(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(18980,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB157, bitIndex2)) | (~v116(constB157)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(18981,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB157, bitIndex2)) | (~v116(constB157))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[18980, 18979])).
% 20.12/13.78 tff(18982,plain,
% 20.12/13.78 (~v116(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18981, 1976, 18974])).
% 20.12/13.78 tff(18983,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB157, bitIndex1)) | (~v145(constB157)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB157, bitIndex1)) | (~v145(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(18984,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB157, bitIndex1)) | (~v145(constB157)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(18985,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB157, bitIndex1)) | (~v145(constB157))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[18984, 18983])).
% 20.12/13.78 tff(18986,plain,
% 20.12/13.78 (~v145(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18985, 2012, 18931])).
% 20.12/13.78 tff(18987,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB157, bitIndex2)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB157, bitIndex2)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(18988,plain,
% 20.12/13.78 ((v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex2))) <=> ((~v124(constB157, bitIndex2)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(18989,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB157, bitIndex2)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157)))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[18988])).
% 20.12/13.78 tff(18990,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB157, bitIndex2)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.12/13.78 inference(transitivity,[status(thm)],[18989, 18987])).
% 20.12/13.78 tff(18991,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex2)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(18992,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB157, bitIndex2)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[18991, 18990])).
% 20.12/13.78 tff(18993,plain,
% 20.12/13.78 (~v124(constB157, bitIndex2)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18992, 2037, 18986, 18982, 18978, 18943, 18939, 18935])).
% 20.12/13.78 tff(18994,assumption,(v71(constB157)), introduced(assumption)).
% 20.12/13.78 tff(18995,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB157))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(18996,plain,
% 20.12/13.78 ($false),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18995, 2775, 18994])).
% 20.12/13.78 tff(18997,plain,(~v71(constB157)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.78 tff(18998,assumption,(v18(constB158)), introduced(assumption)).
% 20.12/13.78 tff(18999,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB158))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19000,plain,
% 20.12/13.78 ($false),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[18999, 2627, 18998])).
% 20.12/13.78 tff(19001,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.78 tff(19002,plain,
% 20.12/13.78 (v1(constB158) <=> v1(constB158)),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19003,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 20.12/13.78 tff(19004,plain,
% 20.12/13.78 (v1(constB158)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19003, 19002])).
% 20.12/13.78 tff(19005,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19006,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19007,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19006, 19005])).
% 20.12/13.78 tff(19008,plain,
% 20.12/13.78 (v22(constB158)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19007, 2640, 19004])).
% 20.12/13.78 tff(19009,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19010,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB158)) | (~v22(constB158)) | v18(constB158))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19011,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB158)) | (~v22(constB158)) | v18(constB158)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19010, 19009])).
% 20.12/13.78 tff(19012,plain,
% 20.12/13.78 ((~v19(constB158)) | v18(constB158)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19011, 2654, 19008])).
% 20.12/13.78 tff(19013,plain,
% 20.12/13.78 (~v19(constB158)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19012, 19001])).
% 20.12/13.78 tff(19014,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19015,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19016,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19015, 19014])).
% 20.12/13.78 tff(19017,plain,
% 20.12/13.78 (v13(constB158)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19016, 2669, 19013])).
% 20.12/13.78 tff(19018,plain,
% 20.12/13.78 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19019,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 20.12/13.78 tff(19020,plain,
% 20.12/13.78 (nextState(constB157, constB158)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19019, 19018])).
% 20.12/13.78 tff(19021,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19022,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19023,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB157, constB158)) | (~v13(constB158)) | v9(constB157)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19022, 19021])).
% 20.12/13.78 tff(19024,plain,
% 20.12/13.78 ((~v13(constB158)) | v9(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19023, 2686, 19020])).
% 20.12/13.78 tff(19025,plain,
% 20.12/13.78 (v9(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19024, 19017])).
% 20.12/13.78 tff(19026,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB157) | (~v9(constB157)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB157) | (~v9(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19027,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB157) | (~v9(constB157)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19028,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB157) | (~v9(constB157))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 20.12/13.78 tff(19029,plain,
% 20.12/13.78 (v80(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19028, 2734, 19025])).
% 20.12/13.78 tff(19030,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB157) | v78(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB157) | v78(constB157))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19031,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB157) | v78(constB157))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19032,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB157) | v78(constB157)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 20.12/13.78 tff(19033,plain,
% 20.12/13.78 (v78(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19032, 2748, 18907])).
% 20.12/13.78 tff(19034,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB157)) | (~v80(constB157)) | v76(constB157))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB157)) | (~v80(constB157)) | v76(constB157))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19035,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB157)) | (~v80(constB157)) | v76(constB157))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19036,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB157)) | (~v80(constB157)) | v76(constB157)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19035, 19034])).
% 20.12/13.78 tff(19037,plain,
% 20.12/13.78 ((~v80(constB157)) | v76(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19036, 2762, 19033])).
% 20.12/13.78 tff(19038,plain,
% 20.12/13.78 (v76(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19037, 19029])).
% 20.12/13.78 tff(19039,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB157)) | (~v76(constB157)) | v71(constB157))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB157)) | (~v76(constB157)) | v71(constB157))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19040,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB157)) | (~v76(constB157)) | v71(constB157))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19041,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB157)) | (~v76(constB157)) | v71(constB157)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19040, 19039])).
% 20.12/13.78 tff(19042,plain,
% 20.12/13.78 ((~v72(constB157)) | v71(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19041, 2788, 19038])).
% 20.12/13.78 tff(19043,plain,
% 20.12/13.78 (~v72(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19042, 18997])).
% 20.12/13.78 tff(19044,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB157) | v72(constB157) | v74(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB157) | v72(constB157) | v74(constB157))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19045,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB157) | v72(constB157) | v74(constB157))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19046,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB157) | v72(constB157) | v74(constB157)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19045, 19044])).
% 20.12/13.78 tff(19047,plain,
% 20.12/13.78 (v72(constB157) | v74(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19046, 2803, 18907])).
% 20.12/13.78 tff(19048,plain,
% 20.12/13.78 (v74(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19047, 19043])).
% 20.12/13.78 tff(19049,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB157) | v64(constB157) | (~v9(constB157)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB157) | v64(constB157) | (~v9(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19050,plain,
% 20.12/13.78 ((v1(constB157) | (~v9(constB157)) | v64(constB157)) <=> (v1(constB157) | v64(constB157) | (~v9(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19051,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v64(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB157) | v64(constB157) | (~v9(constB157))))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[19050])).
% 20.12/13.78 tff(19052,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v64(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB157) | v64(constB157) | (~v9(constB157)))),
% 20.12/13.78 inference(transitivity,[status(thm)],[19051, 19049])).
% 20.12/13.78 tff(19053,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v64(constB157))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19054,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB157) | v64(constB157) | (~v9(constB157))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19053, 19052])).
% 20.12/13.78 tff(19055,plain,
% 20.12/13.78 (v64(constB157) | (~v9(constB157))),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19054, 2701, 18907])).
% 20.12/13.78 tff(19056,plain,
% 20.12/13.78 (v64(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19055, 19025])).
% 20.12/13.78 tff(19057,assumption,(v26(constB156)), introduced(assumption)).
% 20.12/13.78 tff(19058,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB156))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19059,plain,
% 20.12/13.78 ($false),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19058, 18, 19057])).
% 20.12/13.78 tff(19060,plain,(~v26(constB156)), inference(lemma,lemma(discharge,[]))).
% 20.12/13.78 tff(19061,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB156, constB157)) | v26(constB156) | (~v66(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB156, constB157)) | v26(constB156) | (~v66(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19062,plain,
% 20.12/13.78 ((v26(constB156) | (~nextState(constB156, constB157)) | (~v66(constB157))) <=> ((~nextState(constB156, constB157)) | v26(constB156) | (~v66(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19063,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB156) | (~nextState(constB156, constB157)) | (~v66(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB156, constB157)) | v26(constB156) | (~v66(constB157))))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[19062])).
% 20.12/13.78 tff(19064,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB156) | (~nextState(constB156, constB157)) | (~v66(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB156, constB157)) | v26(constB156) | (~v66(constB157)))),
% 20.12/13.78 inference(transitivity,[status(thm)],[19063, 19061])).
% 20.12/13.78 tff(19065,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB156) | (~nextState(constB156, constB157)) | (~v66(constB157)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19066,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB156, constB157)) | v26(constB156) | (~v66(constB157))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 20.12/13.78 tff(19067,plain,
% 20.12/13.78 (v26(constB156) | (~v66(constB157))),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19066, 2611, 18910])).
% 20.12/13.78 tff(19068,plain,
% 20.12/13.78 (~v66(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19067, 19060])).
% 20.12/13.78 tff(19069,plain,
% 20.12/13.78 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB157)) | v66(constB157) | (~v64(constB157)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB157)) | v66(constB157) | (~v64(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19070,plain,
% 20.12/13.78 (((~v64(constB157)) | (~v60(constB157)) | v66(constB157)) <=> ((~v60(constB157)) | v66(constB157) | (~v64(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19071,plain,
% 20.12/13.78 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB157)) | (~v60(constB157)) | v66(constB157))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB157)) | v66(constB157) | (~v64(constB157))))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[19070])).
% 20.12/13.78 tff(19072,plain,
% 20.12/13.78 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB157)) | (~v60(constB157)) | v66(constB157))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB157)) | v66(constB157) | (~v64(constB157)))),
% 20.12/13.78 inference(transitivity,[status(thm)],[19071, 19069])).
% 20.12/13.78 tff(19073,plain,
% 20.12/13.78 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB157)) | (~v60(constB157)) | v66(constB157))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19074,plain,
% 20.12/13.78 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB157)) | v66(constB157) | (~v64(constB157))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19073, 19072])).
% 20.12/13.78 tff(19075,plain,
% 20.12/13.78 ((~v60(constB157)) | (~v64(constB157))),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19074, 2719, 19068])).
% 20.12/13.78 tff(19076,plain,
% 20.12/13.78 (~v60(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19075, 19056])).
% 20.12/13.78 tff(19077,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB157) | (~v26(constB157)) | (~v74(constB157)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB157) | (~v26(constB157)) | (~v74(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19078,plain,
% 20.12/13.78 (((~v26(constB157)) | v60(constB157) | (~v74(constB157))) <=> (v60(constB157) | (~v26(constB157)) | (~v74(constB157)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19079,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB157)) | v60(constB157) | (~v74(constB157)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB157) | (~v26(constB157)) | (~v74(constB157))))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[19078])).
% 20.12/13.78 tff(19080,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB157)) | v60(constB157) | (~v74(constB157)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB157) | (~v26(constB157)) | (~v74(constB157)))),
% 20.12/13.78 inference(transitivity,[status(thm)],[19079, 19077])).
% 20.12/13.78 tff(19081,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB157)) | v60(constB157) | (~v74(constB157)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19082,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB157) | (~v26(constB157)) | (~v74(constB157))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19081, 19080])).
% 20.12/13.78 tff(19083,plain,
% 20.12/13.78 ((~v26(constB157)) | (~v74(constB157))),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19082, 2818, 19076])).
% 20.12/13.78 tff(19084,plain,
% 20.12/13.78 (~v26(constB157)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19083, 19048])).
% 20.12/13.78 tff(19085,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19086,plain,
% 20.12/13.78 ((v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2))) <=> ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19087,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2)))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[19086])).
% 20.12/13.78 tff(19088,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 20.12/13.78 inference(transitivity,[status(thm)],[19087, 19085])).
% 20.12/13.78 tff(19089,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19090,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19089, 19088])).
% 20.12/13.78 tff(19091,plain,
% 20.12/13.78 ((~v121(constB157, bitIndex2)) | v124(constB157, bitIndex2)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19090, 391, 19084])).
% 20.12/13.78 tff(19092,plain,
% 20.12/13.78 (~v121(constB157, bitIndex2)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19091, 18993])).
% 20.12/13.78 tff(19093,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19094,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19095,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19094, 19093])).
% 20.12/13.78 tff(19096,plain,
% 20.12/13.78 (v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2))),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19095, 409, 19020])).
% 20.12/13.78 tff(19097,plain,
% 20.12/13.78 (~v123(constB158, bitIndex2)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19096, 19092])).
% 20.12/13.78 tff(19098,plain,
% 20.12/13.78 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB155)) | (~v124(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB155)) | (~v124(constB155, bitIndex0)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19099,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB155)) | (~v124(constB155, bitIndex0)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19100,plain,
% 20.12/13.78 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB155)) | (~v124(constB155, bitIndex0))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19099, 19098])).
% 20.12/13.78 tff(19101,plain,
% 20.12/13.78 (~v124(constB155, bitIndex0)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19100, 1850, 18824])).
% 20.12/13.78 tff(19102,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19103,plain,
% 20.12/13.78 ((v26(constB155) | v124(constB155, bitIndex0) | (~v121(constB155, bitIndex0))) <=> ((~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19104,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB155) | v124(constB155, bitIndex0) | (~v121(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0)))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[19103])).
% 20.12/13.78 tff(19105,plain,
% 20.12/13.78 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB155) | v124(constB155, bitIndex0) | (~v121(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0))),
% 20.12/13.78 inference(transitivity,[status(thm)],[19104, 19102])).
% 20.12/13.78 tff(19106,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB155) | v124(constB155, bitIndex0) | (~v121(constB155, bitIndex0)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19107,plain,
% 20.12/13.78 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0)),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19106, 19105])).
% 20.12/13.78 tff(19108,plain,
% 20.12/13.78 ((~v121(constB155, bitIndex0)) | v124(constB155, bitIndex0)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19107, 885, 18836])).
% 20.12/13.78 tff(19109,plain,
% 20.12/13.78 (~v121(constB155, bitIndex0)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19108, 19101])).
% 20.12/13.78 tff(19110,plain,
% 20.12/13.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19111,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0)))),
% 20.12/13.78 inference(quant_inst,[status(thm)],[])).
% 20.12/13.78 tff(19112,plain,
% 20.12/13.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0))),
% 20.12/13.78 inference(modus_ponens,[status(thm)],[19111, 19110])).
% 20.12/13.78 tff(19113,plain,
% 20.12/13.78 (v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0))),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19112, 903, 18848])).
% 20.12/13.78 tff(19114,plain,
% 20.12/13.78 (~v123(constB156, bitIndex0)),
% 20.12/13.78 inference(unit_resolution,[status(thm)],[19113, 19109])).
% 20.12/13.78 tff(19115,plain,
% 20.12/13.78 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19116,plain,
% 20.12/13.78 (((~v84(constB156, bitIndex0)) | (~v94(constB156)) | v123(constB156, bitIndex0)) <=> ((~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156)))),
% 20.12/13.78 inference(rewrite,[status(thm)],[])).
% 20.12/13.78 tff(19117,plain,
% 20.12/13.78 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~v94(constB156)) | v123(constB156, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156))))),
% 20.12/13.78 inference(monotonicity,[status(thm)],[19116])).
% 20.12/13.78 tff(19118,plain,
% 20.12/13.78 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~v94(constB156)) | v123(constB156, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156)))),
% 20.12/13.78 inference(transitivity,[status(thm)],[19117, 19115])).
% 20.12/13.78 tff(19119,plain,
% 20.12/13.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~v94(constB156)) | v123(constB156, bitIndex0))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19120,plain,
% 20.12/13.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19119, 19118])).
% 20.12/13.79 tff(19121,plain,
% 20.12/13.79 ((~v84(constB156, bitIndex0)) | (~v94(constB156))),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19120, 918, 19114])).
% 20.12/13.79 tff(19122,plain,
% 20.12/13.79 (~v84(constB156, bitIndex0)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19121, 18882])).
% 20.12/13.79 tff(19123,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19124,plain,
% 20.12/13.79 (((~nextState(constB156, constB157)) | v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0))) <=> (v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19125,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0))))),
% 20.12/13.79 inference(monotonicity,[status(thm)],[19124])).
% 20.12/13.79 tff(19126,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0)))),
% 20.12/13.79 inference(transitivity,[status(thm)],[19125, 19123])).
% 20.12/13.79 tff(19127,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0)))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19128,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19127, 19126])).
% 20.12/13.79 tff(19129,plain,
% 20.12/13.79 (v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0))),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19128, 163, 18910])).
% 20.12/13.79 tff(19130,plain,
% 20.12/13.79 (v84(constB156, bitIndex0) | (~v84(constB157, bitIndex0))),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19129, 18922])).
% 20.12/13.79 tff(19131,plain,
% 20.12/13.79 (~v84(constB157, bitIndex0)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19130, 19122])).
% 20.12/13.79 tff(19132,plain,
% 20.12/13.79 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)) | v119(constB157))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)) | v119(constB157))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19133,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)) | v119(constB157))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19134,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)) | v119(constB157)),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19133, 19132])).
% 20.12/13.79 tff(19135,plain,
% 20.12/13.79 (v119(constB157)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19134, 1894, 19131, 18931, 18974])).
% 20.12/13.79 tff(19136,plain,
% 20.12/13.79 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB157) | (~v119(constB157)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB157) | (~v119(constB157)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19137,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB157) | (~v119(constB157)))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19138,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB157) | (~v119(constB157))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19137, 19136])).
% 20.12/13.79 tff(19139,plain,
% 20.12/13.79 (v107(constB157)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19138, 1905, 19135])).
% 20.12/13.79 tff(19140,assumption,(~v102(constB157)), introduced(assumption)).
% 20.12/13.79 tff(19141,plain,
% 20.12/13.79 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB157) | (~v106(constB157)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB157) | (~v106(constB157)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19142,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB157) | (~v106(constB157)))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19143,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB157) | (~v106(constB157))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 20.12/13.79 tff(19144,plain,
% 20.12/13.79 (~v106(constB157)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19143, 276, 19140])).
% 20.12/13.79 tff(19145,plain,
% 20.12/13.79 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB157) | (~v26(constB157)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB157) | (~v26(constB157)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19146,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB157) | (~v26(constB157)))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19147,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB157) | (~v26(constB157))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19146, 19145])).
% 20.12/13.79 tff(19148,plain,
% 20.12/13.79 (~v26(constB157)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19147, 670, 19140])).
% 20.12/13.79 tff(19149,assumption,(v107(constB157)), introduced(assumption)).
% 20.12/13.79 tff(19150,plain,
% 20.12/13.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | v106(constB157) | (~v107(constB157)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19151,plain,
% 20.12/13.79 ((v26(constB157) | (~v107(constB157)) | v106(constB157)) <=> (v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19152,plain,
% 20.12/13.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | v106(constB157) | (~v107(constB157))))),
% 20.12/13.79 inference(monotonicity,[status(thm)],[19151])).
% 20.12/13.79 tff(19153,plain,
% 20.12/13.79 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 20.12/13.79 inference(transitivity,[status(thm)],[19152, 19150])).
% 20.12/13.79 tff(19154,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19155,plain,
% 20.12/13.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19154, 19153])).
% 20.12/13.79 tff(19156,plain,
% 20.12/13.79 (v26(constB157) | v106(constB157)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19155, 264, 19149])).
% 20.12/13.79 tff(19157,plain,
% 20.12/13.79 ($false),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19156, 19148, 19144])).
% 20.12/13.79 tff(19158,plain,(v102(constB157) | (~v107(constB157))), inference(lemma,lemma(discharge,[]))).
% 20.12/13.79 tff(19159,plain,
% 20.12/13.79 (v102(constB157)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19158, 19139])).
% 20.12/13.79 tff(19160,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19161,plain,
% 20.12/13.79 (((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158)) <=> ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19162,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157))))),
% 20.12/13.79 inference(monotonicity,[status(thm)],[19161])).
% 20.12/13.79 tff(19163,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 20.12/13.79 inference(transitivity,[status(thm)],[19162, 19160])).
% 20.12/13.79 tff(19164,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19165,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19164, 19163])).
% 20.12/13.79 tff(19166,plain,
% 20.12/13.79 (v104(constB158) | (~v102(constB157))),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19165, 293, 19020])).
% 20.12/13.79 tff(19167,plain,
% 20.12/13.79 (v104(constB158)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19166, 19159])).
% 20.12/13.79 tff(19168,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19169,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19170,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19169, 19168])).
% 20.12/13.79 tff(19171,plain,
% 20.12/13.79 (~v98(constB158)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19170, 311, 19020, 18907])).
% 20.12/13.79 tff(19172,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19173,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19174,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB157, constB158)) | v96(constB158) | v98(constB158)),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19173, 19172])).
% 20.12/13.79 tff(19175,plain,
% 20.12/13.79 (v96(constB158) | v98(constB158)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19174, 325, 19020])).
% 20.12/13.79 tff(19176,plain,
% 20.12/13.79 (v96(constB158)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19175, 19171])).
% 20.12/13.79 tff(19177,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19178,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))),
% 20.12/13.79 inference(quant_inst,[status(thm)],[])).
% 20.12/13.79 tff(19179,plain,
% 20.12/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158))),
% 20.12/13.79 inference(modus_ponens,[status(thm)],[19178, 19177])).
% 20.12/13.79 tff(19180,plain,
% 20.12/13.79 (v95(constB158) | (~v96(constB158))),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19179, 343, 19020, 19004])).
% 20.12/13.79 tff(19181,plain,
% 20.12/13.79 (v95(constB158)),
% 20.12/13.79 inference(unit_resolution,[status(thm)],[19180, 19176])).
% 20.12/13.79 tff(19182,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19183,plain,
% 20.12/13.79 (((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158)) <=> ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 20.12/13.79 inference(rewrite,[status(thm)],[])).
% 20.12/13.79 tff(19184,plain,
% 20.12/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158))))),
% 20.12/13.79 inference(monotonicity,[status(thm)],[19183])).
% 20.22/13.79 tff(19185,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 20.22/13.79 inference(transitivity,[status(thm)],[19184, 19182])).
% 20.22/13.79 tff(19186,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))),
% 20.22/13.79 inference(quant_inst,[status(thm)],[])).
% 20.22/13.79 tff(19187,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158))),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19186, 19185])).
% 20.22/13.79 tff(19188,plain,
% 20.22/13.79 (v94(constB158) | (~v95(constB158)) | (~v104(constB158))),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19187, 358, 19020])).
% 20.22/13.79 tff(19189,plain,
% 20.22/13.79 (v94(constB158) | (~v104(constB158))),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19188, 19181])).
% 20.22/13.79 tff(19190,plain,
% 20.22/13.79 (v94(constB158)),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19189, 19167])).
% 20.22/13.79 tff(19191,plain,
% 20.22/13.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19192,plain,
% 20.22/13.79 (((~v84(constB158, bitIndex2)) | (~v94(constB158)) | v123(constB158, bitIndex2)) <=> ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19193,plain,
% 20.22/13.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | (~v94(constB158)) | v123(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158))))),
% 20.22/13.79 inference(monotonicity,[status(thm)],[19192])).
% 20.22/13.79 tff(19194,plain,
% 20.22/13.79 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | (~v94(constB158)) | v123(constB158, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 20.22/13.79 inference(transitivity,[status(thm)],[19193, 19191])).
% 20.22/13.79 tff(19195,plain,
% 20.22/13.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB158, bitIndex2)) | (~v94(constB158)) | v123(constB158, bitIndex2))),
% 20.22/13.79 inference(quant_inst,[status(thm)],[])).
% 20.22/13.79 tff(19196,plain,
% 20.22/13.79 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158))),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 20.22/13.79 tff(19197,plain,
% 20.22/13.79 (~v84(constB158, bitIndex2)),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19196, 424, 19190, 19097])).
% 20.22/13.79 tff(19198,plain,
% 20.22/13.79 ((~v1(constB159)) <=> (~v1(constB159))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19199,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 20.22/13.79 tff(19200,plain,
% 20.22/13.79 (~v1(constB159)),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19199, 19198])).
% 20.22/13.79 tff(19201,plain,
% 20.22/13.79 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19202,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 20.22/13.79 tff(19203,plain,
% 20.22/13.79 (nextState(constB158, constB159)),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19202, 19201])).
% 20.22/13.79 tff(19204,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19205,plain,
% 20.22/13.79 (((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19206,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159))))),
% 20.22/13.79 inference(monotonicity,[status(thm)],[19205])).
% 20.22/13.79 tff(19207,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 20.22/13.79 inference(transitivity,[status(thm)],[19206, 19204])).
% 20.22/13.79 tff(19208,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))),
% 20.22/13.79 inference(quant_inst,[status(thm)],[])).
% 20.22/13.79 tff(19209,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159))),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19208, 19207])).
% 20.22/13.79 tff(19210,plain,
% 20.22/13.79 (~v95(constB159)),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19209, 89, 19203, 19200])).
% 20.22/13.79 tff(19211,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19212,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))),
% 20.22/13.79 inference(quant_inst,[status(thm)],[])).
% 20.22/13.79 tff(19213,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159))),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19212, 19211])).
% 20.22/13.79 tff(19214,plain,
% 20.22/13.79 (v95(constB159) | (~v94(constB159))),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19213, 106, 19203])).
% 20.22/13.79 tff(19215,plain,
% 20.22/13.79 (~v94(constB159)),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19214, 19210])).
% 20.22/13.79 tff(19216,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19217,plain,
% 20.22/13.79 (((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2))) <=> (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19218,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2))))),
% 20.22/13.79 inference(monotonicity,[status(thm)],[19217])).
% 20.22/13.79 tff(19219,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 20.22/13.79 inference(transitivity,[status(thm)],[19218, 19216])).
% 20.22/13.79 tff(19220,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 20.22/13.79 inference(quant_inst,[status(thm)],[])).
% 20.22/13.79 tff(19221,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2))),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19220, 19219])).
% 20.22/13.79 tff(19222,plain,
% 20.22/13.79 (v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2))),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19221, 121, 19203])).
% 20.22/13.79 tff(19223,plain,
% 20.22/13.79 (v84(constB158, bitIndex2) | (~v84(constB159, bitIndex2))),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19222, 19215])).
% 20.22/13.79 tff(19224,plain,
% 20.22/13.79 (~v84(constB159, bitIndex2)),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19223, 19197])).
% 20.22/13.79 tff(19225,plain,
% 20.22/13.79 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB157, bitIndex1)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB157, bitIndex1)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19226,plain,
% 20.22/13.79 ((v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex1))) <=> ((~v124(constB157, bitIndex1)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19227,plain,
% 20.22/13.79 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB157, bitIndex1)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157)))),
% 20.22/13.79 inference(monotonicity,[status(thm)],[19226])).
% 20.22/13.79 tff(19228,plain,
% 20.22/13.79 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB157, bitIndex1)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.22/13.79 inference(transitivity,[status(thm)],[19227, 19225])).
% 20.22/13.79 tff(19229,plain,
% 20.22/13.79 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex1)))),
% 20.22/13.79 inference(quant_inst,[status(thm)],[])).
% 20.22/13.79 tff(19230,plain,
% 20.22/13.79 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB157, bitIndex1)) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157)),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19229, 19228])).
% 20.22/13.79 tff(19231,plain,
% 20.22/13.79 (~v124(constB157, bitIndex1)),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19230, 2102, 18986, 18982, 18978, 18943, 18939, 18935])).
% 20.22/13.79 tff(19232,plain,
% 20.22/13.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19233,plain,
% 20.22/13.79 ((v26(constB157) | v124(constB157, bitIndex1) | (~v121(constB157, bitIndex1))) <=> ((~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19234,plain,
% 20.22/13.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB157) | v124(constB157, bitIndex1) | (~v121(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1)))),
% 20.22/13.79 inference(monotonicity,[status(thm)],[19233])).
% 20.22/13.79 tff(19235,plain,
% 20.22/13.79 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB157) | v124(constB157, bitIndex1) | (~v121(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1))),
% 20.22/13.79 inference(transitivity,[status(thm)],[19234, 19232])).
% 20.22/13.79 tff(19236,plain,
% 20.22/13.79 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB157) | v124(constB157, bitIndex1) | (~v121(constB157, bitIndex1)))),
% 20.22/13.79 inference(quant_inst,[status(thm)],[])).
% 20.22/13.79 tff(19237,plain,
% 20.22/13.79 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1)),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19236, 19235])).
% 20.22/13.79 tff(19238,plain,
% 20.22/13.79 ((~v121(constB157, bitIndex1)) | v124(constB157, bitIndex1)),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19237, 483, 19084])).
% 20.22/13.79 tff(19239,plain,
% 20.22/13.79 (~v121(constB157, bitIndex1)),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19238, 19231])).
% 20.22/13.79 tff(19240,plain,
% 20.22/13.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1)))),
% 20.22/13.79 inference(rewrite,[status(thm)],[])).
% 20.22/13.79 tff(19241,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1)))),
% 20.22/13.79 inference(quant_inst,[status(thm)],[])).
% 20.22/13.79 tff(19242,plain,
% 20.22/13.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1))),
% 20.22/13.79 inference(modus_ponens,[status(thm)],[19241, 19240])).
% 20.22/13.79 tff(19243,plain,
% 20.22/13.79 (v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1))),
% 20.22/13.79 inference(unit_resolution,[status(thm)],[19242, 501, 19020])).
% 20.22/13.80 tff(19244,plain,
% 20.22/13.80 (~v123(constB158, bitIndex1)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19243, 19239])).
% 20.22/13.80 tff(19245,plain,
% 20.22/13.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19246,plain,
% 20.22/13.80 (((~v84(constB158, bitIndex1)) | (~v94(constB158)) | v123(constB158, bitIndex1)) <=> ((~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19247,plain,
% 20.22/13.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~v94(constB158)) | v123(constB158, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158))))),
% 20.22/13.80 inference(monotonicity,[status(thm)],[19246])).
% 20.22/13.80 tff(19248,plain,
% 20.22/13.80 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~v94(constB158)) | v123(constB158, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158)))),
% 20.22/13.80 inference(transitivity,[status(thm)],[19247, 19245])).
% 20.22/13.80 tff(19249,plain,
% 20.22/13.80 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~v94(constB158)) | v123(constB158, bitIndex1))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19250,plain,
% 20.22/13.80 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19249, 19248])).
% 20.22/13.80 tff(19251,plain,
% 20.22/13.80 (~v84(constB158, bitIndex1)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19250, 516, 19190, 19244])).
% 20.22/13.80 tff(19252,plain,
% 20.22/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19253,plain,
% 20.22/13.80 (((~nextState(constB158, constB159)) | v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1))) <=> (v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19254,plain,
% 20.22/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1))))),
% 20.22/13.80 inference(monotonicity,[status(thm)],[19253])).
% 20.22/13.80 tff(19255,plain,
% 20.22/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1)))),
% 20.22/13.80 inference(transitivity,[status(thm)],[19254, 19252])).
% 20.22/13.80 tff(19256,plain,
% 20.22/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19257,plain,
% 20.22/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19256, 19255])).
% 20.22/13.80 tff(19258,plain,
% 20.22/13.80 (v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1))),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19257, 142, 19203])).
% 20.22/13.80 tff(19259,plain,
% 20.22/13.80 (v84(constB158, bitIndex1) | (~v84(constB159, bitIndex1))),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19258, 19215])).
% 20.22/13.80 tff(19260,plain,
% 20.22/13.80 (~v84(constB159, bitIndex1)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19259, 19251])).
% 20.22/13.80 tff(19261,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB157, bitIndex0) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB157, bitIndex0) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19262,plain,
% 20.22/13.80 ((v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | v124(constB157, bitIndex0)) <=> (v124(constB157, bitIndex0) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19263,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | v124(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB157, bitIndex0) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157)))),
% 20.22/13.80 inference(monotonicity,[status(thm)],[19262])).
% 20.22/13.80 tff(19264,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | v124(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB157, bitIndex0) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157))),
% 20.22/13.80 inference(transitivity,[status(thm)],[19263, 19261])).
% 20.22/13.80 tff(19265,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | v124(constB157, bitIndex0))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19266,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB157, bitIndex0) | v145(constB157) | v113(constB157) | v118(constB157) | v116(constB157) | v115(constB157) | v172(constB157)),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19265, 19264])).
% 20.22/13.80 tff(19267,plain,
% 20.22/13.80 (v124(constB157, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19266, 2149, 18986, 18982, 18978, 18943, 18939, 18935])).
% 20.22/13.80 tff(19268,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB157) | (~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB157) | (~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19269,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB157) | (~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19270,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB157) | (~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0)),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19269, 19268])).
% 20.22/13.80 tff(19271,plain,
% 20.22/13.80 ((~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19270, 557, 19084])).
% 20.22/13.80 tff(19272,plain,
% 20.22/13.80 (v121(constB157, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19271, 19267])).
% 20.22/13.80 tff(19273,plain,
% 20.22/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19274,plain,
% 20.22/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19275,plain,
% 20.22/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0)),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 20.22/13.80 tff(19276,plain,
% 20.22/13.80 ((~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19275, 572, 19020])).
% 20.22/13.80 tff(19277,plain,
% 20.22/13.80 (v123(constB158, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19276, 19272])).
% 20.22/13.80 tff(19278,plain,
% 20.22/13.80 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19279,plain,
% 20.22/13.80 ((v84(constB158, bitIndex0) | (~v94(constB158)) | (~v123(constB158, bitIndex0))) <=> (v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19280,plain,
% 20.22/13.80 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v94(constB158)) | (~v123(constB158, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158))))),
% 20.22/13.80 inference(monotonicity,[status(thm)],[19279])).
% 20.22/13.80 tff(19281,plain,
% 20.22/13.80 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v94(constB158)) | (~v123(constB158, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158)))),
% 20.22/13.80 inference(transitivity,[status(thm)],[19280, 19278])).
% 20.22/13.80 tff(19282,plain,
% 20.22/13.80 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v94(constB158)) | (~v123(constB158, bitIndex0)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19283,plain,
% 20.22/13.80 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19282, 19281])).
% 20.22/13.80 tff(19284,plain,
% 20.22/13.80 (v84(constB158, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19283, 587, 19190, 19277])).
% 20.22/13.80 tff(19285,plain,
% 20.22/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19286,plain,
% 20.22/13.80 (((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0)) <=> ((~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19287,plain,
% 20.22/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0)))),
% 20.22/13.80 inference(monotonicity,[status(thm)],[19286])).
% 20.22/13.80 tff(19288,plain,
% 20.22/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0))),
% 20.22/13.80 inference(transitivity,[status(thm)],[19287, 19285])).
% 20.22/13.80 tff(19289,plain,
% 20.22/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19290,plain,
% 20.22/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0)),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19289, 19288])).
% 20.22/13.80 tff(19291,plain,
% 20.22/13.80 ((~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19290, 605, 19203])).
% 20.22/13.80 tff(19292,plain,
% 20.22/13.80 ((~v84(constB158, bitIndex0)) | v84(constB159, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19291, 19215])).
% 20.22/13.80 tff(19293,plain,
% 20.22/13.80 (v84(constB159, bitIndex0)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19292, 19284])).
% 20.22/13.80 tff(19294,plain,
% 20.22/13.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB159, bitIndex0)) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v145(constB159))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB159, bitIndex0)) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v145(constB159))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19295,plain,
% 20.22/13.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB159, bitIndex0)) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v145(constB159))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19296,plain,
% 20.22/13.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB159, bitIndex0)) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v145(constB159)),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19295, 19294])).
% 20.22/13.80 tff(19297,plain,
% 20.22/13.80 (v145(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19296, 624, 19293, 19260, 19224])).
% 20.22/13.80 tff(19298,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB159) | (~v145(constB159)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB159) | (~v145(constB159)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19299,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB159) | (~v145(constB159)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19300,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB159) | (~v145(constB159))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19299, 19298])).
% 20.22/13.80 tff(19301,plain,
% 20.22/13.80 (v112(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19300, 681, 19297])).
% 20.22/13.80 tff(19302,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB159) | (~v112(constB159)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19303,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB159) | (~v112(constB159)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19304,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB159) | (~v112(constB159))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19303, 19302])).
% 20.22/13.80 tff(19305,plain,
% 20.22/13.80 (v111(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19304, 206, 19301])).
% 20.22/13.80 tff(19306,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB159) | (~v111(constB159)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB159) | (~v111(constB159)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19307,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB159) | (~v111(constB159)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19308,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB159) | (~v111(constB159))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19307, 19306])).
% 20.22/13.80 tff(19309,plain,
% 20.22/13.80 (v110(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19308, 217, 19305])).
% 20.22/13.80 tff(19310,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB159) | (~v110(constB159)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB159) | (~v110(constB159)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19311,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB159) | (~v110(constB159)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19312,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB159) | (~v110(constB159))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19311, 19310])).
% 20.22/13.80 tff(19313,plain,
% 20.22/13.80 (v109(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19312, 228, 19309])).
% 20.22/13.80 tff(19314,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB159) | (~v109(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB159) | (~v109(constB159)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19315,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB159) | (~v109(constB159)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19316,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB159) | (~v109(constB159))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19315, 19314])).
% 20.22/13.80 tff(19317,plain,
% 20.22/13.80 (v108(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19316, 239, 19313])).
% 20.22/13.80 tff(19318,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB159) | (~v108(constB159)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB159) | (~v108(constB159)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19319,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB159) | (~v108(constB159)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19320,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB159) | (~v108(constB159))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19319, 19318])).
% 20.22/13.80 tff(19321,plain,
% 20.22/13.80 (v107(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19320, 250, 19317])).
% 20.22/13.80 tff(19322,assumption,(~v102(constB159)), introduced(assumption)).
% 20.22/13.80 tff(19323,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB159) | (~v106(constB159)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB159) | (~v106(constB159)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19324,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB159) | (~v106(constB159)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19325,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB159) | (~v106(constB159))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19324, 19323])).
% 20.22/13.80 tff(19326,plain,
% 20.22/13.80 (~v106(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19325, 276, 19322])).
% 20.22/13.80 tff(19327,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB159) | (~v26(constB159)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB159) | (~v26(constB159)))),
% 20.22/13.80 inference(rewrite,[status(thm)],[])).
% 20.22/13.80 tff(19328,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB159) | (~v26(constB159)))),
% 20.22/13.80 inference(quant_inst,[status(thm)],[])).
% 20.22/13.80 tff(19329,plain,
% 20.22/13.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB159) | (~v26(constB159))),
% 20.22/13.80 inference(modus_ponens,[status(thm)],[19328, 19327])).
% 20.22/13.80 tff(19330,plain,
% 20.22/13.80 (~v26(constB159)),
% 20.22/13.80 inference(unit_resolution,[status(thm)],[19329, 670, 19322])).
% 20.22/13.80 tff(19331,assumption,(v107(constB159)), introduced(assumption)).
% 20.22/13.80 tff(19332,plain,
% 20.22/13.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | v106(constB159) | (~v107(constB159)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19333,plain,
% 20.23/13.80 ((v26(constB159) | (~v107(constB159)) | v106(constB159)) <=> (v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19334,plain,
% 20.23/13.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | v106(constB159) | (~v107(constB159))))),
% 20.23/13.80 inference(monotonicity,[status(thm)],[19333])).
% 20.23/13.80 tff(19335,plain,
% 20.23/13.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 20.23/13.80 inference(transitivity,[status(thm)],[19334, 19332])).
% 20.23/13.80 tff(19336,plain,
% 20.23/13.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))),
% 20.23/13.80 inference(quant_inst,[status(thm)],[])).
% 20.23/13.80 tff(19337,plain,
% 20.23/13.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159))),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19336, 19335])).
% 20.23/13.80 tff(19338,plain,
% 20.23/13.80 (v26(constB159) | v106(constB159)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19337, 264, 19331])).
% 20.23/13.80 tff(19339,plain,
% 20.23/13.80 ($false),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19338, 19330, 19326])).
% 20.23/13.80 tff(19340,plain,(v102(constB159) | (~v107(constB159))), inference(lemma,lemma(discharge,[]))).
% 20.23/13.80 tff(19341,plain,
% 20.23/13.80 (v102(constB159)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19340, 19321])).
% 20.23/13.80 tff(19342,plain,
% 20.23/13.80 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19343,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 20.23/13.80 tff(19344,plain,
% 20.23/13.80 (nextState(constB159, constB160)),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19343, 19342])).
% 20.23/13.80 tff(19345,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19346,plain,
% 20.23/13.80 (((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160)) <=> ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19347,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159))))),
% 20.23/13.80 inference(monotonicity,[status(thm)],[19346])).
% 20.23/13.80 tff(19348,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 20.23/13.80 inference(transitivity,[status(thm)],[19347, 19345])).
% 20.23/13.80 tff(19349,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))),
% 20.23/13.80 inference(quant_inst,[status(thm)],[])).
% 20.23/13.80 tff(19350,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159))),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19349, 19348])).
% 20.23/13.80 tff(19351,plain,
% 20.23/13.80 (v104(constB160) | (~v102(constB159))),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19350, 293, 19344])).
% 20.23/13.80 tff(19352,plain,
% 20.23/13.80 (v104(constB160)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19351, 19341])).
% 20.23/13.80 tff(19353,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19354,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))),
% 20.23/13.80 inference(quant_inst,[status(thm)],[])).
% 20.23/13.80 tff(19355,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160))),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19354, 19353])).
% 20.23/13.80 tff(19356,plain,
% 20.23/13.80 (~v98(constB160)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19355, 311, 19344, 19200])).
% 20.23/13.80 tff(19357,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19358,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))),
% 20.23/13.80 inference(quant_inst,[status(thm)],[])).
% 20.23/13.80 tff(19359,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB159, constB160)) | v96(constB160) | v98(constB160)),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19358, 19357])).
% 20.23/13.80 tff(19360,plain,
% 20.23/13.80 (v96(constB160) | v98(constB160)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19359, 325, 19344])).
% 20.23/13.80 tff(19361,plain,
% 20.23/13.80 (v96(constB160)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19360, 19356])).
% 20.23/13.80 tff(19362,plain,
% 20.23/13.80 (v1(constB160) <=> v1(constB160)),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19363,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 20.23/13.80 tff(19364,plain,
% 20.23/13.80 (v1(constB160)),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19363, 19362])).
% 20.23/13.80 tff(19365,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19366,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))),
% 20.23/13.80 inference(quant_inst,[status(thm)],[])).
% 20.23/13.80 tff(19367,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160))),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19366, 19365])).
% 20.23/13.80 tff(19368,plain,
% 20.23/13.80 (v95(constB160) | (~v96(constB160))),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19367, 343, 19344, 19364])).
% 20.23/13.80 tff(19369,plain,
% 20.23/13.80 (v95(constB160)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19368, 19361])).
% 20.23/13.80 tff(19370,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19371,plain,
% 20.23/13.80 (((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160)) <=> ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19372,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160))))),
% 20.23/13.80 inference(monotonicity,[status(thm)],[19371])).
% 20.23/13.80 tff(19373,plain,
% 20.23/13.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 20.23/13.80 inference(transitivity,[status(thm)],[19372, 19370])).
% 20.23/13.80 tff(19374,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))),
% 20.23/13.80 inference(quant_inst,[status(thm)],[])).
% 20.23/13.80 tff(19375,plain,
% 20.23/13.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160))),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19374, 19373])).
% 20.23/13.80 tff(19376,plain,
% 20.23/13.80 (v94(constB160) | (~v95(constB160)) | (~v104(constB160))),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19375, 358, 19344])).
% 20.23/13.80 tff(19377,plain,
% 20.23/13.80 (v94(constB160) | (~v104(constB160))),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19376, 19369])).
% 20.23/13.80 tff(19378,plain,
% 20.23/13.80 (v94(constB160)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19377, 19352])).
% 20.23/13.80 tff(19379,plain,
% 20.23/13.80 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB159)) | (~v124(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB159)) | (~v124(constB159, bitIndex2)))),
% 20.23/13.80 inference(rewrite,[status(thm)],[])).
% 20.23/13.80 tff(19380,plain,
% 20.23/13.80 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB159)) | (~v124(constB159, bitIndex2)))),
% 20.23/13.80 inference(quant_inst,[status(thm)],[])).
% 20.23/13.80 tff(19381,plain,
% 20.23/13.80 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB159)) | (~v124(constB159, bitIndex2))),
% 20.23/13.80 inference(modus_ponens,[status(thm)],[19380, 19379])).
% 20.23/13.80 tff(19382,plain,
% 20.23/13.80 (~v124(constB159, bitIndex2)),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19381, 638, 19297])).
% 20.23/13.80 tff(19383,assumption,(v26(constB159)), introduced(assumption)).
% 20.23/13.80 tff(19384,plain,
% 20.23/13.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 20.23/13.80 inference(quant_inst,[status(thm)],[])).
% 20.23/13.80 tff(19385,plain,
% 20.23/13.80 ($false),
% 20.23/13.80 inference(unit_resolution,[status(thm)],[19384, 18, 19383])).
% 20.23/13.80 tff(19386,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.81 tff(19387,plain,
% 20.23/13.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19388,plain,
% 20.23/13.81 ((v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2))) <=> ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19389,plain,
% 20.23/13.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2)))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19388])).
% 20.23/13.81 tff(19390,plain,
% 20.23/13.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19389, 19387])).
% 20.23/13.81 tff(19391,plain,
% 20.23/13.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19392,plain,
% 20.23/13.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19391, 19390])).
% 20.23/13.81 tff(19393,plain,
% 20.23/13.81 ((~v121(constB159, bitIndex2)) | v124(constB159, bitIndex2)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19392, 391, 19386])).
% 20.23/13.81 tff(19394,plain,
% 20.23/13.81 (~v121(constB159, bitIndex2)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19393, 19382])).
% 20.23/13.81 tff(19395,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19396,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19397,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19396, 19395])).
% 20.23/13.81 tff(19398,plain,
% 20.23/13.81 (v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19397, 409, 19344])).
% 20.23/13.81 tff(19399,plain,
% 20.23/13.81 (~v123(constB160, bitIndex2)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19398, 19394])).
% 20.23/13.81 tff(19400,plain,
% 20.23/13.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19401,plain,
% 20.23/13.81 (((~v84(constB160, bitIndex2)) | (~v94(constB160)) | v123(constB160, bitIndex2)) <=> ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19402,plain,
% 20.23/13.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | (~v94(constB160)) | v123(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160))))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19401])).
% 20.23/13.81 tff(19403,plain,
% 20.23/13.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | (~v94(constB160)) | v123(constB160, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19402, 19400])).
% 20.23/13.81 tff(19404,plain,
% 20.23/13.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB160, bitIndex2)) | (~v94(constB160)) | v123(constB160, bitIndex2))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19405,plain,
% 20.23/13.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19404, 19403])).
% 20.23/13.81 tff(19406,plain,
% 20.23/13.81 ((~v84(constB160, bitIndex2)) | (~v94(constB160))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19405, 424, 19399])).
% 20.23/13.81 tff(19407,plain,
% 20.23/13.81 (~v84(constB160, bitIndex2)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19406, 19378])).
% 20.23/13.81 tff(19408,plain,
% 20.23/13.81 ((~v1(constB161)) <=> (~v1(constB161))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19409,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 20.23/13.81 tff(19410,plain,
% 20.23/13.81 (~v1(constB161)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 20.23/13.81 tff(19411,plain,
% 20.23/13.81 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19412,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 20.23/13.81 tff(19413,plain,
% 20.23/13.81 (nextState(constB160, constB161)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19412, 19411])).
% 20.23/13.81 tff(19414,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19415,plain,
% 20.23/13.81 (((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19416,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161))))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19415])).
% 20.23/13.81 tff(19417,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19416, 19414])).
% 20.23/13.81 tff(19418,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19419,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19418, 19417])).
% 20.23/13.81 tff(19420,plain,
% 20.23/13.81 (~v95(constB161)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19419, 89, 19413, 19410])).
% 20.23/13.81 tff(19421,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19422,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19423,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19422, 19421])).
% 20.23/13.81 tff(19424,plain,
% 20.23/13.81 (v95(constB161) | (~v94(constB161))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19423, 106, 19413])).
% 20.23/13.81 tff(19425,plain,
% 20.23/13.81 (~v94(constB161)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19424, 19420])).
% 20.23/13.81 tff(19426,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19427,plain,
% 20.23/13.81 (((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2))) <=> (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19428,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2))))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19427])).
% 20.23/13.81 tff(19429,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19428, 19426])).
% 20.23/13.81 tff(19430,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19431,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19430, 19429])).
% 20.23/13.81 tff(19432,plain,
% 20.23/13.81 (v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19431, 121, 19413])).
% 20.23/13.81 tff(19433,plain,
% 20.23/13.81 (v84(constB160, bitIndex2) | (~v84(constB161, bitIndex2))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19432, 19425])).
% 20.23/13.81 tff(19434,plain,
% 20.23/13.81 (~v84(constB161, bitIndex2)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19433, 19407])).
% 20.23/13.81 tff(19435,plain,
% 20.23/13.81 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB159)) | v124(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB159)) | v124(constB159, bitIndex1))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19436,plain,
% 20.23/13.81 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB159)) | v124(constB159, bitIndex1))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19437,plain,
% 20.23/13.81 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB159)) | v124(constB159, bitIndex1)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19436, 19435])).
% 20.23/13.81 tff(19438,plain,
% 20.23/13.81 (v124(constB159, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19437, 790, 19297])).
% 20.23/13.81 tff(19439,plain,
% 20.23/13.81 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19440,plain,
% 20.23/13.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19441,plain,
% 20.23/13.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19440, 19439])).
% 20.23/13.81 tff(19442,plain,
% 20.23/13.81 ((~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19441, 804, 19386])).
% 20.23/13.81 tff(19443,plain,
% 20.23/13.81 (v121(constB159, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19442, 19438])).
% 20.23/13.81 tff(19444,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19445,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19446,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19445, 19444])).
% 20.23/13.81 tff(19447,plain,
% 20.23/13.81 ((~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19446, 819, 19344])).
% 20.23/13.81 tff(19448,plain,
% 20.23/13.81 (v123(constB160, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19447, 19443])).
% 20.23/13.81 tff(19449,plain,
% 20.23/13.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19450,plain,
% 20.23/13.81 ((v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1))) <=> (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19451,plain,
% 20.23/13.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160))))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19450])).
% 20.23/13.81 tff(19452,plain,
% 20.23/13.81 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19451, 19449])).
% 20.23/13.81 tff(19453,plain,
% 20.23/13.81 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19454,plain,
% 20.23/13.81 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19453, 19452])).
% 20.23/13.81 tff(19455,plain,
% 20.23/13.81 (v84(constB160, bitIndex1) | (~v94(constB160))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19454, 834, 19448])).
% 20.23/13.81 tff(19456,plain,
% 20.23/13.81 (v84(constB160, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19455, 19378])).
% 20.23/13.81 tff(19457,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19458,plain,
% 20.23/13.81 (((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1)) <=> ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19459,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1)))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19458])).
% 20.23/13.81 tff(19460,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19459, 19457])).
% 20.23/13.81 tff(19461,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19462,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19461, 19460])).
% 20.23/13.81 tff(19463,plain,
% 20.23/13.81 ((~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19462, 852, 19413])).
% 20.23/13.81 tff(19464,plain,
% 20.23/13.81 ((~v84(constB160, bitIndex1)) | v84(constB161, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19463, 19425])).
% 20.23/13.81 tff(19465,plain,
% 20.23/13.81 (v84(constB161, bitIndex1)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19464, 19456])).
% 20.23/13.81 tff(19466,plain,
% 20.23/13.81 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB159)) | (~v124(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB159)) | (~v124(constB159, bitIndex0)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19467,plain,
% 20.23/13.81 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB159)) | (~v124(constB159, bitIndex0)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19468,plain,
% 20.23/13.81 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB159)) | (~v124(constB159, bitIndex0))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19467, 19466])).
% 20.23/13.81 tff(19469,plain,
% 20.23/13.81 (~v124(constB159, bitIndex0)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19468, 871, 19297])).
% 20.23/13.81 tff(19470,plain,
% 20.23/13.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19471,plain,
% 20.23/13.81 ((v26(constB159) | v124(constB159, bitIndex0) | (~v121(constB159, bitIndex0))) <=> ((~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19472,plain,
% 20.23/13.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB159) | v124(constB159, bitIndex0) | (~v121(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0)))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19471])).
% 20.23/13.81 tff(19473,plain,
% 20.23/13.81 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB159) | v124(constB159, bitIndex0) | (~v121(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19472, 19470])).
% 20.23/13.81 tff(19474,plain,
% 20.23/13.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB159) | v124(constB159, bitIndex0) | (~v121(constB159, bitIndex0)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19475,plain,
% 20.23/13.81 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19474, 19473])).
% 20.23/13.81 tff(19476,plain,
% 20.23/13.81 ((~v121(constB159, bitIndex0)) | v124(constB159, bitIndex0)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19475, 885, 19386])).
% 20.23/13.81 tff(19477,plain,
% 20.23/13.81 (~v121(constB159, bitIndex0)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19476, 19469])).
% 20.23/13.81 tff(19478,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19479,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19480,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 20.23/13.81 tff(19481,plain,
% 20.23/13.81 (v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19480, 903, 19344])).
% 20.23/13.81 tff(19482,plain,
% 20.23/13.81 (~v123(constB160, bitIndex0)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19481, 19477])).
% 20.23/13.81 tff(19483,plain,
% 20.23/13.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19484,plain,
% 20.23/13.81 (((~v84(constB160, bitIndex0)) | (~v94(constB160)) | v123(constB160, bitIndex0)) <=> ((~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19485,plain,
% 20.23/13.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~v94(constB160)) | v123(constB160, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160))))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19484])).
% 20.23/13.81 tff(19486,plain,
% 20.23/13.81 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~v94(constB160)) | v123(constB160, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160)))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19485, 19483])).
% 20.23/13.81 tff(19487,plain,
% 20.23/13.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~v94(constB160)) | v123(constB160, bitIndex0))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19488,plain,
% 20.23/13.81 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19487, 19486])).
% 20.23/13.81 tff(19489,plain,
% 20.23/13.81 ((~v84(constB160, bitIndex0)) | (~v94(constB160))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19488, 918, 19482])).
% 20.23/13.81 tff(19490,plain,
% 20.23/13.81 (~v84(constB160, bitIndex0)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19489, 19378])).
% 20.23/13.81 tff(19491,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19492,plain,
% 20.23/13.81 (((~nextState(constB160, constB161)) | v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0))) <=> (v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0)))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19493,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0))))),
% 20.23/13.81 inference(monotonicity,[status(thm)],[19492])).
% 20.23/13.81 tff(19494,plain,
% 20.23/13.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0)))),
% 20.23/13.81 inference(transitivity,[status(thm)],[19493, 19491])).
% 20.23/13.81 tff(19495,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0)))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19496,plain,
% 20.23/13.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0))),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19495, 19494])).
% 20.23/13.81 tff(19497,plain,
% 20.23/13.81 (v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19496, 163, 19413])).
% 20.23/13.81 tff(19498,plain,
% 20.23/13.81 (v84(constB160, bitIndex0) | (~v84(constB161, bitIndex0))),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19497, 19425])).
% 20.23/13.81 tff(19499,plain,
% 20.23/13.81 (~v84(constB161, bitIndex0)),
% 20.23/13.81 inference(unit_resolution,[status(thm)],[19498, 19490])).
% 20.23/13.81 tff(19500,plain,
% 20.23/13.81 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v115(constB161))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v115(constB161))),
% 20.23/13.81 inference(rewrite,[status(thm)],[])).
% 20.23/13.81 tff(19501,plain,
% 20.23/13.81 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v115(constB161))),
% 20.23/13.81 inference(quant_inst,[status(thm)],[])).
% 20.23/13.81 tff(19502,plain,
% 20.23/13.81 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v115(constB161)),
% 20.23/13.81 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 20.23/13.82 tff(19503,plain,
% 20.23/13.82 (v115(constB161)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19502, 945, 19499, 19465, 19434])).
% 20.23/13.82 tff(19504,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB161) | (~v115(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19505,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB161) | (~v115(constB161)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19506,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB161) | (~v115(constB161))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19505, 19504])).
% 20.23/13.82 tff(19507,plain,
% 20.23/13.82 (v111(constB161)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19506, 956, 19503])).
% 20.23/13.82 tff(19508,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB161) | (~v111(constB161)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB161) | (~v111(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19509,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB161) | (~v111(constB161)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19510,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB161) | (~v111(constB161))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 20.23/13.82 tff(19511,plain,
% 20.23/13.82 (v110(constB161)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19510, 217, 19507])).
% 20.23/13.82 tff(19512,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB161) | (~v110(constB161)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB161) | (~v110(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19513,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB161) | (~v110(constB161)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19514,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB161) | (~v110(constB161))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 20.23/13.82 tff(19515,plain,
% 20.23/13.82 (v109(constB161)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19514, 228, 19511])).
% 20.23/13.82 tff(19516,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB161) | (~v109(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB161) | (~v109(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19517,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB161) | (~v109(constB161)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19518,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB161) | (~v109(constB161))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19517, 19516])).
% 20.23/13.82 tff(19519,plain,
% 20.23/13.82 (v108(constB161)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19518, 239, 19515])).
% 20.23/13.82 tff(19520,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB161) | (~v108(constB161)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB161) | (~v108(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19521,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB161) | (~v108(constB161)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19522,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB161) | (~v108(constB161))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19521, 19520])).
% 20.23/13.82 tff(19523,plain,
% 20.23/13.82 (v107(constB161)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19522, 250, 19519])).
% 20.23/13.82 tff(19524,assumption,(v26(constB161)), introduced(assumption)).
% 20.23/13.82 tff(19525,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19526,plain,
% 20.23/13.82 ($false),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19525, 18, 19524])).
% 20.23/13.82 tff(19527,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.82 tff(19528,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | v106(constB161) | (~v107(constB161)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19529,plain,
% 20.23/13.82 ((v26(constB161) | (~v107(constB161)) | v106(constB161)) <=> (v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19530,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | v106(constB161) | (~v107(constB161))))),
% 20.23/13.82 inference(monotonicity,[status(thm)],[19529])).
% 20.23/13.82 tff(19531,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 20.23/13.82 inference(transitivity,[status(thm)],[19530, 19528])).
% 20.23/13.82 tff(19532,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19533,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 20.23/13.82 tff(19534,plain,
% 20.23/13.82 (v106(constB161) | (~v107(constB161))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19533, 264, 19527])).
% 20.23/13.82 tff(19535,plain,
% 20.23/13.82 (v106(constB161)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19534, 19523])).
% 20.23/13.82 tff(19536,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB161) | (~v106(constB161)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB161) | (~v106(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19537,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB161) | (~v106(constB161)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19538,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB161) | (~v106(constB161))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19537, 19536])).
% 20.23/13.82 tff(19539,plain,
% 20.23/13.82 (v102(constB161)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19538, 276, 19535])).
% 20.23/13.82 tff(19540,plain,
% 20.23/13.82 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19541,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 20.23/13.82 tff(19542,plain,
% 20.23/13.82 (nextState(constB161, constB162)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19541, 19540])).
% 20.23/13.82 tff(19543,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19544,plain,
% 20.23/13.82 (((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162)) <=> ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19545,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161))))),
% 20.23/13.82 inference(monotonicity,[status(thm)],[19544])).
% 20.23/13.82 tff(19546,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 20.23/13.82 inference(transitivity,[status(thm)],[19545, 19543])).
% 20.23/13.82 tff(19547,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19548,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19547, 19546])).
% 20.23/13.82 tff(19549,plain,
% 20.23/13.82 (v104(constB162) | (~v102(constB161))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19548, 293, 19542])).
% 20.23/13.82 tff(19550,plain,
% 20.23/13.82 (v104(constB162)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19549, 19539])).
% 20.23/13.82 tff(19551,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19552,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19553,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19552, 19551])).
% 20.23/13.82 tff(19554,plain,
% 20.23/13.82 (~v98(constB162)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19553, 311, 19542, 19410])).
% 20.23/13.82 tff(19555,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19556,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19557,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB161, constB162)) | v96(constB162) | v98(constB162)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19556, 19555])).
% 20.23/13.82 tff(19558,plain,
% 20.23/13.82 (v96(constB162) | v98(constB162)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19557, 325, 19542])).
% 20.23/13.82 tff(19559,plain,
% 20.23/13.82 (v96(constB162)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19558, 19554])).
% 20.23/13.82 tff(19560,plain,
% 20.23/13.82 (v1(constB162) <=> v1(constB162)),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19561,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 20.23/13.82 tff(19562,plain,
% 20.23/13.82 (v1(constB162)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19561, 19560])).
% 20.23/13.82 tff(19563,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19564,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19565,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19564, 19563])).
% 20.23/13.82 tff(19566,plain,
% 20.23/13.82 (v95(constB162) | (~v96(constB162))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19565, 343, 19542, 19562])).
% 20.23/13.82 tff(19567,plain,
% 20.23/13.82 (v95(constB162)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19566, 19559])).
% 20.23/13.82 tff(19568,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19569,plain,
% 20.23/13.82 (((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162)) <=> ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19570,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162))))),
% 20.23/13.82 inference(monotonicity,[status(thm)],[19569])).
% 20.23/13.82 tff(19571,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 20.23/13.82 inference(transitivity,[status(thm)],[19570, 19568])).
% 20.23/13.82 tff(19572,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19573,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19572, 19571])).
% 20.23/13.82 tff(19574,plain,
% 20.23/13.82 (v94(constB162) | (~v95(constB162)) | (~v104(constB162))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19573, 358, 19542])).
% 20.23/13.82 tff(19575,plain,
% 20.23/13.82 (v94(constB162) | (~v104(constB162))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19574, 19567])).
% 20.23/13.82 tff(19576,plain,
% 20.23/13.82 (v94(constB162)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19575, 19550])).
% 20.23/13.82 tff(19577,plain,
% 20.23/13.82 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB161)) | (~v124(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB161)) | (~v124(constB161, bitIndex2)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19578,plain,
% 20.23/13.82 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB161)) | (~v124(constB161, bitIndex2)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19579,plain,
% 20.23/13.82 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB161)) | (~v124(constB161, bitIndex2))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19578, 19577])).
% 20.23/13.82 tff(19580,plain,
% 20.23/13.82 (~v124(constB161, bitIndex2)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19579, 1032, 19503])).
% 20.23/13.82 tff(19581,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19582,plain,
% 20.23/13.82 ((v26(constB161) | v124(constB161, bitIndex2) | (~v121(constB161, bitIndex2))) <=> ((~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19583,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB161) | v124(constB161, bitIndex2) | (~v121(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2)))),
% 20.23/13.82 inference(monotonicity,[status(thm)],[19582])).
% 20.23/13.82 tff(19584,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB161) | v124(constB161, bitIndex2) | (~v121(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2))),
% 20.23/13.82 inference(transitivity,[status(thm)],[19583, 19581])).
% 20.23/13.82 tff(19585,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB161) | v124(constB161, bitIndex2) | (~v121(constB161, bitIndex2)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19586,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19585, 19584])).
% 20.23/13.82 tff(19587,plain,
% 20.23/13.82 ((~v121(constB161, bitIndex2)) | v124(constB161, bitIndex2)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19586, 391, 19527])).
% 20.23/13.82 tff(19588,plain,
% 20.23/13.82 (~v121(constB161, bitIndex2)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19587, 19580])).
% 20.23/13.82 tff(19589,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19590,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19591,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19590, 19589])).
% 20.23/13.82 tff(19592,plain,
% 20.23/13.82 (v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19591, 409, 19542])).
% 20.23/13.82 tff(19593,plain,
% 20.23/13.82 (~v123(constB162, bitIndex2)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19592, 19588])).
% 20.23/13.82 tff(19594,plain,
% 20.23/13.82 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19595,plain,
% 20.23/13.82 (((~v84(constB162, bitIndex2)) | (~v94(constB162)) | v123(constB162, bitIndex2)) <=> ((~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19596,plain,
% 20.23/13.82 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | (~v94(constB162)) | v123(constB162, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162))))),
% 20.23/13.82 inference(monotonicity,[status(thm)],[19595])).
% 20.23/13.82 tff(19597,plain,
% 20.23/13.82 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | (~v94(constB162)) | v123(constB162, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162)))),
% 20.23/13.82 inference(transitivity,[status(thm)],[19596, 19594])).
% 20.23/13.82 tff(19598,plain,
% 20.23/13.82 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB162, bitIndex2)) | (~v94(constB162)) | v123(constB162, bitIndex2))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19599,plain,
% 20.23/13.82 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19598, 19597])).
% 20.23/13.82 tff(19600,plain,
% 20.23/13.82 ((~v84(constB162, bitIndex2)) | (~v94(constB162))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19599, 424, 19593])).
% 20.23/13.82 tff(19601,plain,
% 20.23/13.82 (~v84(constB162, bitIndex2)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19600, 19576])).
% 20.23/13.82 tff(19602,plain,
% 20.23/13.82 ((~v1(constB163)) <=> (~v1(constB163))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19603,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 20.23/13.82 tff(19604,plain,
% 20.23/13.82 (~v1(constB163)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 20.23/13.82 tff(19605,plain,
% 20.23/13.82 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19606,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 20.23/13.82 tff(19607,plain,
% 20.23/13.82 (nextState(constB162, constB163)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19606, 19605])).
% 20.23/13.82 tff(19608,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19609,plain,
% 20.23/13.82 (((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19610,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163))))),
% 20.23/13.82 inference(monotonicity,[status(thm)],[19609])).
% 20.23/13.82 tff(19611,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 20.23/13.82 inference(transitivity,[status(thm)],[19610, 19608])).
% 20.23/13.82 tff(19612,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19613,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 20.23/13.82 tff(19614,plain,
% 20.23/13.82 (~v95(constB163)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19613, 89, 19607, 19604])).
% 20.23/13.82 tff(19615,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19616,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19617,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 20.23/13.82 tff(19618,plain,
% 20.23/13.82 (v95(constB163) | (~v94(constB163))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19617, 106, 19607])).
% 20.23/13.82 tff(19619,plain,
% 20.23/13.82 (~v94(constB163)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19618, 19614])).
% 20.23/13.82 tff(19620,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19621,plain,
% 20.23/13.82 (((~nextState(constB162, constB163)) | v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2))) <=> (v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2)))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19622,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2))))),
% 20.23/13.82 inference(monotonicity,[status(thm)],[19621])).
% 20.23/13.82 tff(19623,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2)))),
% 20.23/13.82 inference(transitivity,[status(thm)],[19622, 19620])).
% 20.23/13.82 tff(19624,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2)))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19625,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2))),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19624, 19623])).
% 20.23/13.82 tff(19626,plain,
% 20.23/13.82 (v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19625, 121, 19607])).
% 20.23/13.82 tff(19627,plain,
% 20.23/13.82 (v84(constB162, bitIndex2) | (~v84(constB163, bitIndex2))),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19626, 19619])).
% 20.23/13.82 tff(19628,plain,
% 20.23/13.82 (~v84(constB163, bitIndex2)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19627, 19601])).
% 20.23/13.82 tff(19629,plain,
% 20.23/13.82 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB161)) | v124(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB161)) | v124(constB161, bitIndex1))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19630,plain,
% 20.23/13.82 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB161)) | v124(constB161, bitIndex1))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19631,plain,
% 20.23/13.82 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB161)) | v124(constB161, bitIndex1)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 20.23/13.82 tff(19632,plain,
% 20.23/13.82 (v124(constB161, bitIndex1)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19631, 1094, 19503])).
% 20.23/13.82 tff(19633,plain,
% 20.23/13.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB161) | (~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB161) | (~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19634,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB161) | (~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19635,plain,
% 20.23/13.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB161) | (~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19634, 19633])).
% 20.23/13.82 tff(19636,plain,
% 20.23/13.82 ((~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19635, 804, 19527])).
% 20.23/13.82 tff(19637,plain,
% 20.23/13.82 (v121(constB161, bitIndex1)),
% 20.23/13.82 inference(unit_resolution,[status(thm)],[19636, 19632])).
% 20.23/13.82 tff(19638,plain,
% 20.23/13.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1))),
% 20.23/13.82 inference(rewrite,[status(thm)],[])).
% 20.23/13.82 tff(19639,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1))),
% 20.23/13.82 inference(quant_inst,[status(thm)],[])).
% 20.23/13.82 tff(19640,plain,
% 20.23/13.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1)),
% 20.23/13.82 inference(modus_ponens,[status(thm)],[19639, 19638])).
% 20.23/13.82 tff(19641,plain,
% 20.23/13.82 ((~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19640, 819, 19542])).
% 20.23/13.83 tff(19642,plain,
% 20.23/13.83 (v123(constB162, bitIndex1)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19641, 19637])).
% 20.23/13.83 tff(19643,plain,
% 20.23/13.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19644,plain,
% 20.23/13.83 ((v84(constB162, bitIndex1) | (~v94(constB162)) | (~v123(constB162, bitIndex1))) <=> (v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19645,plain,
% 20.23/13.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v94(constB162)) | (~v123(constB162, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162))))),
% 20.23/13.83 inference(monotonicity,[status(thm)],[19644])).
% 20.23/13.83 tff(19646,plain,
% 20.23/13.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v94(constB162)) | (~v123(constB162, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162)))),
% 20.23/13.83 inference(transitivity,[status(thm)],[19645, 19643])).
% 20.23/13.83 tff(19647,plain,
% 20.23/13.83 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v94(constB162)) | (~v123(constB162, bitIndex1)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19648,plain,
% 20.23/13.83 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19647, 19646])).
% 20.23/13.83 tff(19649,plain,
% 20.23/13.83 (v84(constB162, bitIndex1) | (~v94(constB162))),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19648, 834, 19642])).
% 20.23/13.83 tff(19650,plain,
% 20.23/13.83 (v84(constB162, bitIndex1)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19649, 19576])).
% 20.23/13.83 tff(19651,plain,
% 20.23/13.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19652,plain,
% 20.23/13.83 (((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1)) <=> ((~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19653,plain,
% 20.23/13.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1)))),
% 20.23/13.83 inference(monotonicity,[status(thm)],[19652])).
% 20.23/13.83 tff(19654,plain,
% 20.23/13.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1))),
% 20.23/13.83 inference(transitivity,[status(thm)],[19653, 19651])).
% 20.23/13.83 tff(19655,plain,
% 20.23/13.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19656,plain,
% 20.23/13.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19655, 19654])).
% 20.23/13.83 tff(19657,plain,
% 20.23/13.83 ((~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19656, 852, 19607])).
% 20.23/13.83 tff(19658,plain,
% 20.23/13.83 ((~v84(constB162, bitIndex1)) | v84(constB163, bitIndex1)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19657, 19619])).
% 20.23/13.83 tff(19659,plain,
% 20.23/13.83 (v84(constB163, bitIndex1)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19658, 19650])).
% 20.23/13.83 tff(19660,plain,
% 20.23/13.83 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB161)) | v124(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB161)) | v124(constB161, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19661,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB161)) | v124(constB161, bitIndex0))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19662,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB161)) | v124(constB161, bitIndex0)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19661, 19660])).
% 20.23/13.83 tff(19663,plain,
% 20.23/13.83 (v124(constB161, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19662, 1135, 19503])).
% 20.23/13.83 tff(19664,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB161) | (~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB161) | (~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19665,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB161) | (~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19666,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB161) | (~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19665, 19664])).
% 20.23/13.83 tff(19667,plain,
% 20.23/13.83 ((~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19666, 557, 19527])).
% 20.23/13.83 tff(19668,plain,
% 20.23/13.83 (v121(constB161, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19667, 19663])).
% 20.23/13.83 tff(19669,plain,
% 20.23/13.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19670,plain,
% 20.23/13.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19671,plain,
% 20.23/13.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 20.23/13.83 tff(19672,plain,
% 20.23/13.83 ((~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19671, 572, 19542])).
% 20.23/13.83 tff(19673,plain,
% 20.23/13.83 (v123(constB162, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19672, 19668])).
% 20.23/13.83 tff(19674,plain,
% 20.23/13.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19675,plain,
% 20.23/13.83 ((v84(constB162, bitIndex0) | (~v94(constB162)) | (~v123(constB162, bitIndex0))) <=> (v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19676,plain,
% 20.23/13.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v94(constB162)) | (~v123(constB162, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162))))),
% 20.23/13.83 inference(monotonicity,[status(thm)],[19675])).
% 20.23/13.83 tff(19677,plain,
% 20.23/13.83 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v94(constB162)) | (~v123(constB162, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162)))),
% 20.23/13.83 inference(transitivity,[status(thm)],[19676, 19674])).
% 20.23/13.83 tff(19678,plain,
% 20.23/13.83 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v94(constB162)) | (~v123(constB162, bitIndex0)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19679,plain,
% 20.23/13.83 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19678, 19677])).
% 20.23/13.83 tff(19680,plain,
% 20.23/13.83 (v84(constB162, bitIndex0) | (~v94(constB162))),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19679, 587, 19673])).
% 20.23/13.83 tff(19681,plain,
% 20.23/13.83 (v84(constB162, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19680, 19576])).
% 20.23/13.83 tff(19682,plain,
% 20.23/13.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19683,plain,
% 20.23/13.83 (((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0)) <=> ((~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19684,plain,
% 20.23/13.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0)))),
% 20.23/13.83 inference(monotonicity,[status(thm)],[19683])).
% 20.23/13.83 tff(19685,plain,
% 20.23/13.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0))),
% 20.23/13.83 inference(transitivity,[status(thm)],[19684, 19682])).
% 20.23/13.83 tff(19686,plain,
% 20.23/13.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19687,plain,
% 20.23/13.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19686, 19685])).
% 20.23/13.83 tff(19688,plain,
% 20.23/13.83 ((~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19687, 605, 19607])).
% 20.23/13.83 tff(19689,plain,
% 20.23/13.83 ((~v84(constB162, bitIndex0)) | v84(constB163, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19688, 19619])).
% 20.23/13.83 tff(19690,plain,
% 20.23/13.83 (v84(constB163, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19689, 19681])).
% 20.23/13.83 tff(19691,plain,
% 20.23/13.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2) | v116(constB163))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2) | v116(constB163))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19692,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2) | v116(constB163))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19693,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2) | v116(constB163)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19692, 19691])).
% 20.23/13.83 tff(19694,plain,
% 20.23/13.83 (v116(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19693, 1176, 19690, 19659, 19628])).
% 20.23/13.83 tff(19695,plain,
% 20.23/13.83 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB163)) | v124(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB163)) | v124(constB163, bitIndex2))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19696,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB163)) | v124(constB163, bitIndex2))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19697,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB163)) | v124(constB163, bitIndex2)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 20.23/13.83 tff(19698,plain,
% 20.23/13.83 (v124(constB163, bitIndex2)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19697, 1259, 19694])).
% 20.23/13.83 tff(19699,assumption,(v26(constB163)), introduced(assumption)).
% 20.23/13.83 tff(19700,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19701,plain,
% 20.23/13.83 ($false),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19700, 18, 19699])).
% 20.23/13.83 tff(19702,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.83 tff(19703,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19704,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19705,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 20.23/13.83 tff(19706,plain,
% 20.23/13.83 ((~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19705, 1273, 19702])).
% 20.23/13.83 tff(19707,plain,
% 20.23/13.83 (v121(constB163, bitIndex2)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19706, 19698])).
% 20.23/13.83 tff(19708,plain,
% 20.23/13.83 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19709,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 20.23/13.83 tff(19710,plain,
% 20.23/13.83 (nextState(constB163, constB164)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19709, 19708])).
% 20.23/13.83 tff(19711,plain,
% 20.23/13.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19712,plain,
% 20.23/13.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19713,plain,
% 20.23/13.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19712, 19711])).
% 20.23/13.83 tff(19714,plain,
% 20.23/13.83 ((~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19713, 1288, 19710])).
% 20.23/13.83 tff(19715,plain,
% 20.23/13.83 (v123(constB164, bitIndex2)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19714, 19707])).
% 20.23/13.83 tff(19716,plain,
% 20.23/13.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB163, bitIndex0)) | (~v172(constB163)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB163, bitIndex0)) | (~v172(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19717,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB163, bitIndex0)) | (~v172(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19718,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB163, bitIndex0)) | (~v172(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19717, 19716])).
% 20.23/13.83 tff(19719,plain,
% 20.23/13.83 (~v172(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19718, 10570, 19690])).
% 20.23/13.83 tff(19720,plain,
% 20.23/13.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB163, bitIndex1)) | (~v118(constB163)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB163, bitIndex1)) | (~v118(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19721,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB163, bitIndex1)) | (~v118(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19722,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB163, bitIndex1)) | (~v118(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19721, 19720])).
% 20.23/13.83 tff(19723,plain,
% 20.23/13.83 (~v118(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19722, 2001, 19659])).
% 20.23/13.83 tff(19724,plain,
% 20.23/13.83 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB163)) | (~v124(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB163)) | (~v124(constB163, bitIndex0)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19725,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB163)) | (~v124(constB163, bitIndex0)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19726,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB163)) | (~v124(constB163, bitIndex0))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19725, 19724])).
% 20.23/13.83 tff(19727,plain,
% 20.23/13.83 (~v124(constB163, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19726, 1402, 19694])).
% 20.23/13.83 tff(19728,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19729,plain,
% 20.23/13.83 ((v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0))) <=> ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19730,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0)))),
% 20.23/13.83 inference(monotonicity,[status(thm)],[19729])).
% 20.23/13.83 tff(19731,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 20.23/13.83 inference(transitivity,[status(thm)],[19730, 19728])).
% 20.23/13.83 tff(19732,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19733,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19732, 19731])).
% 20.23/13.83 tff(19734,plain,
% 20.23/13.83 ((~v121(constB163, bitIndex0)) | v124(constB163, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19733, 885, 19702])).
% 20.23/13.83 tff(19735,plain,
% 20.23/13.83 (~v121(constB163, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19734, 19727])).
% 20.23/13.83 tff(19736,assumption,(~v102(constB163)), introduced(assumption)).
% 20.23/13.83 tff(19737,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB163) | (~v106(constB163)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB163) | (~v106(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19738,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB163) | (~v106(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19739,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB163) | (~v106(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 20.23/13.83 tff(19740,plain,
% 20.23/13.83 (~v106(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19739, 276, 19736])).
% 20.23/13.83 tff(19741,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB163) | (~v26(constB163)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB163) | (~v26(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19742,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB163) | (~v26(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19743,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB163) | (~v26(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19742, 19741])).
% 20.23/13.83 tff(19744,plain,
% 20.23/13.83 (~v26(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19743, 670, 19736])).
% 20.23/13.83 tff(19745,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB163) | (~v107(constB163)) | v106(constB163))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB163) | (~v107(constB163)) | v106(constB163))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19746,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB163) | (~v107(constB163)) | v106(constB163))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19747,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB163) | (~v107(constB163)) | v106(constB163)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19746, 19745])).
% 20.23/13.83 tff(19748,plain,
% 20.23/13.83 (~v107(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19747, 264, 19744, 19740])).
% 20.23/13.83 tff(19749,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB163) | (~v108(constB163)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB163) | (~v108(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19750,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB163) | (~v108(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19751,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB163) | (~v108(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19750, 19749])).
% 20.23/13.83 tff(19752,plain,
% 20.23/13.83 (~v108(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19751, 250, 19748])).
% 20.23/13.83 tff(19753,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB163) | (~v109(constB163)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB163) | (~v109(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19754,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB163) | (~v109(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19755,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB163) | (~v109(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19754, 19753])).
% 20.23/13.83 tff(19756,plain,
% 20.23/13.83 (~v109(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19755, 239, 19752])).
% 20.23/13.83 tff(19757,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB163) | (~v110(constB163)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB163) | (~v110(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19758,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB163) | (~v110(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19759,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB163) | (~v110(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19758, 19757])).
% 20.23/13.83 tff(19760,plain,
% 20.23/13.83 (~v110(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19759, 228, 19756])).
% 20.23/13.83 tff(19761,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB163) | (~v111(constB163)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB163) | (~v111(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19762,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB163) | (~v111(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19763,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB163) | (~v111(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19762, 19761])).
% 20.23/13.83 tff(19764,plain,
% 20.23/13.83 (~v111(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19763, 217, 19760])).
% 20.23/13.83 tff(19765,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB163) | (~v112(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19766,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB163) | (~v112(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19767,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB163) | (~v112(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19766, 19765])).
% 20.23/13.83 tff(19768,plain,
% 20.23/13.83 (~v112(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19767, 206, 19764])).
% 20.23/13.83 tff(19769,assumption,(~v121(constB163, bitIndex0)), introduced(assumption)).
% 20.23/13.83 tff(19770,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB163) | (~v124(constB163, bitIndex0)) | v121(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB163) | (~v124(constB163, bitIndex0)) | v121(constB163, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19771,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB163) | (~v124(constB163, bitIndex0)) | v121(constB163, bitIndex0))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19772,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB163) | (~v124(constB163, bitIndex0)) | v121(constB163, bitIndex0)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19771, 19770])).
% 20.23/13.83 tff(19773,plain,
% 20.23/13.83 (v26(constB163) | (~v124(constB163, bitIndex0))),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19772, 557, 19769])).
% 20.23/13.83 tff(19774,plain,
% 20.23/13.83 (~v124(constB163, bitIndex0)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19773, 19744])).
% 20.23/13.83 tff(19775,plain,
% 20.23/13.83 (((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB163)) | v124(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB163)) | v124(constB163, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19776,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB163)) | v124(constB163, bitIndex0))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19777,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB163)) | v124(constB163, bitIndex0)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19776, 19775])).
% 20.23/13.83 tff(19778,plain,
% 20.23/13.83 (~v113(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19777, 543, 19774])).
% 20.23/13.83 tff(19779,plain,
% 20.23/13.83 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB163)) | v124(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB163)) | v124(constB163, bitIndex0))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19780,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB163)) | v124(constB163, bitIndex0))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19781,plain,
% 20.23/13.83 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB163)) | v124(constB163, bitIndex0)),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 20.23/13.83 tff(19782,plain,
% 20.23/13.83 (~v115(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19781, 1135, 19774])).
% 20.23/13.83 tff(19783,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB163) | (~v116(constB163)))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19784,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB163) | (~v116(constB163)))),
% 20.23/13.83 inference(quant_inst,[status(thm)],[])).
% 20.23/13.83 tff(19785,plain,
% 20.23/13.83 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB163) | (~v116(constB163))),
% 20.23/13.83 inference(modus_ponens,[status(thm)],[19784, 19783])).
% 20.23/13.83 tff(19786,plain,
% 20.23/13.83 (~v116(constB163)),
% 20.23/13.83 inference(unit_resolution,[status(thm)],[19785, 1187, 19760])).
% 20.23/13.83 tff(19787,assumption,(~v118(constB163)), introduced(assumption)).
% 20.23/13.83 tff(19788,assumption,(~v172(constB163)), introduced(assumption)).
% 20.23/13.83 tff(19789,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB163, bitIndex0) | v172(constB163) | v145(constB163) | v118(constB163) | v116(constB163) | v115(constB163) | v113(constB163))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB163, bitIndex0) | v172(constB163) | v145(constB163) | v118(constB163) | v116(constB163) | v115(constB163) | v113(constB163))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19790,plain,
% 20.23/13.83 ((v113(constB163) | v145(constB163) | v115(constB163) | v116(constB163) | v172(constB163) | v118(constB163) | v124(constB163, bitIndex0)) <=> (v124(constB163, bitIndex0) | v172(constB163) | v145(constB163) | v118(constB163) | v116(constB163) | v115(constB163) | v113(constB163))),
% 20.23/13.83 inference(rewrite,[status(thm)],[])).
% 20.23/13.83 tff(19791,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB163) | v145(constB163) | v115(constB163) | v116(constB163) | v172(constB163) | v118(constB163) | v124(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB163, bitIndex0) | v172(constB163) | v145(constB163) | v118(constB163) | v116(constB163) | v115(constB163) | v113(constB163)))),
% 20.23/13.83 inference(monotonicity,[status(thm)],[19790])).
% 20.23/13.83 tff(19792,plain,
% 20.23/13.83 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB163) | v145(constB163) | v115(constB163) | v116(constB163) | v172(constB163) | v118(constB163) | v124(constB163, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB163, bitIndex0) | v172(constB163) | v145(constB163) | v118(constB163) | v116(constB163) | v115(constB163) | v113(constB163))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19791, 19789])).
% 20.23/13.84 tff(19793,plain,
% 20.23/13.84 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB163) | v145(constB163) | v115(constB163) | v116(constB163) | v172(constB163) | v118(constB163) | v124(constB163, bitIndex0))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19794,plain,
% 20.23/13.84 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB163, bitIndex0) | v172(constB163) | v145(constB163) | v118(constB163) | v116(constB163) | v115(constB163) | v113(constB163)),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19793, 19792])).
% 20.23/13.84 tff(19795,plain,
% 20.23/13.84 (v124(constB163, bitIndex0) | v145(constB163) | v116(constB163) | v115(constB163) | v113(constB163)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19794, 2149, 19788, 19787])).
% 20.23/13.84 tff(19796,plain,
% 20.23/13.84 (v145(constB163)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19795, 19786, 19774, 19782, 19778])).
% 20.23/13.84 tff(19797,plain,
% 20.23/13.84 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB163) | (~v145(constB163)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB163) | (~v145(constB163)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19798,plain,
% 20.23/13.84 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB163) | (~v145(constB163)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19799,plain,
% 20.23/13.84 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB163) | (~v145(constB163))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19798, 19797])).
% 20.23/13.84 tff(19800,plain,
% 20.23/13.84 ($false),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19799, 681, 19796, 19768])).
% 20.23/13.84 tff(19801,plain,(v102(constB163) | v172(constB163) | v118(constB163) | v121(constB163, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.84 tff(19802,plain,
% 20.23/13.84 (v102(constB163)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19801, 19735, 19723, 19719])).
% 20.23/13.84 tff(19803,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19804,plain,
% 20.23/13.84 (((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164)) <=> ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19805,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163))))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19804])).
% 20.23/13.84 tff(19806,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19805, 19803])).
% 20.23/13.84 tff(19807,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19808,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19807, 19806])).
% 20.23/13.84 tff(19809,plain,
% 20.23/13.84 (v104(constB164) | (~v102(constB163))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19808, 293, 19710])).
% 20.23/13.84 tff(19810,plain,
% 20.23/13.84 (v104(constB164)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19809, 19802])).
% 20.23/13.84 tff(19811,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19812,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19813,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 20.23/13.84 tff(19814,plain,
% 20.23/13.84 (~v98(constB164)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19813, 311, 19710, 19604])).
% 20.23/13.84 tff(19815,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19816,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19817,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB163, constB164)) | v96(constB164) | v98(constB164)),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19816, 19815])).
% 20.23/13.84 tff(19818,plain,
% 20.23/13.84 (v96(constB164) | v98(constB164)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19817, 325, 19710])).
% 20.23/13.84 tff(19819,plain,
% 20.23/13.84 (v96(constB164)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19818, 19814])).
% 20.23/13.84 tff(19820,plain,
% 20.23/13.84 (v1(constB164) <=> v1(constB164)),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19821,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 20.23/13.84 tff(19822,plain,
% 20.23/13.84 (v1(constB164)),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19821, 19820])).
% 20.23/13.84 tff(19823,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19824,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19825,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19824, 19823])).
% 20.23/13.84 tff(19826,plain,
% 20.23/13.84 (v95(constB164) | (~v96(constB164))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19825, 343, 19710, 19822])).
% 20.23/13.84 tff(19827,plain,
% 20.23/13.84 (v95(constB164)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19826, 19819])).
% 20.23/13.84 tff(19828,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19829,plain,
% 20.23/13.84 (((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164)) <=> ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19830,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164))))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19829])).
% 20.23/13.84 tff(19831,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19830, 19828])).
% 20.23/13.84 tff(19832,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19833,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19832, 19831])).
% 20.23/13.84 tff(19834,plain,
% 20.23/13.84 (v94(constB164) | (~v95(constB164)) | (~v104(constB164))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19833, 358, 19710])).
% 20.23/13.84 tff(19835,plain,
% 20.23/13.84 (v94(constB164) | (~v104(constB164))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19834, 19827])).
% 20.23/13.84 tff(19836,plain,
% 20.23/13.84 (v94(constB164)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19835, 19810])).
% 20.23/13.84 tff(19837,plain,
% 20.23/13.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19838,plain,
% 20.23/13.84 ((v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2))) <=> (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19839,plain,
% 20.23/13.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164))))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19838])).
% 20.23/13.84 tff(19840,plain,
% 20.23/13.84 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19839, 19837])).
% 20.23/13.84 tff(19841,plain,
% 20.23/13.84 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19842,plain,
% 20.23/13.84 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 20.23/13.84 tff(19843,plain,
% 20.23/13.84 (v84(constB164, bitIndex2)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19842, 1303, 19836, 19715])).
% 20.23/13.84 tff(19844,plain,
% 20.23/13.84 ((~v1(constB165)) <=> (~v1(constB165))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19845,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 20.23/13.84 tff(19846,plain,
% 20.23/13.84 (~v1(constB165)),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19845, 19844])).
% 20.23/13.84 tff(19847,plain,
% 20.23/13.84 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19848,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 20.23/13.84 tff(19849,plain,
% 20.23/13.84 (nextState(constB164, constB165)),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19848, 19847])).
% 20.23/13.84 tff(19850,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19851,plain,
% 20.23/13.84 (((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19852,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165))))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19851])).
% 20.23/13.84 tff(19853,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19852, 19850])).
% 20.23/13.84 tff(19854,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19855,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19854, 19853])).
% 20.23/13.84 tff(19856,plain,
% 20.23/13.84 (~v95(constB165)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19855, 89, 19849, 19846])).
% 20.23/13.84 tff(19857,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19858,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19859,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19858, 19857])).
% 20.23/13.84 tff(19860,plain,
% 20.23/13.84 (v95(constB165) | (~v94(constB165))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19859, 106, 19849])).
% 20.23/13.84 tff(19861,plain,
% 20.23/13.84 (~v94(constB165)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19860, 19856])).
% 20.23/13.84 tff(19862,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19863,plain,
% 20.23/13.84 (((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2)) <=> ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19864,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2)))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19863])).
% 20.23/13.84 tff(19865,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19864, 19862])).
% 20.23/13.84 tff(19866,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19867,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2)),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19866, 19865])).
% 20.23/13.84 tff(19868,plain,
% 20.23/13.84 ((~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19867, 1339, 19849])).
% 20.23/13.84 tff(19869,plain,
% 20.23/13.84 ((~v84(constB164, bitIndex2)) | v84(constB165, bitIndex2)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19868, 19861])).
% 20.23/13.84 tff(19870,plain,
% 20.23/13.84 (v84(constB165, bitIndex2)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19869, 19843])).
% 20.23/13.84 tff(19871,plain,
% 20.23/13.84 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB163)) | (~v124(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB163)) | (~v124(constB163, bitIndex1)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19872,plain,
% 20.23/13.84 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB163)) | (~v124(constB163, bitIndex1)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19873,plain,
% 20.23/13.84 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB163)) | (~v124(constB163, bitIndex1))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19872, 19871])).
% 20.23/13.84 tff(19874,plain,
% 20.23/13.84 (~v124(constB163, bitIndex1)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19873, 1358, 19694])).
% 20.23/13.84 tff(19875,plain,
% 20.23/13.84 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19876,plain,
% 20.23/13.84 ((v26(constB163) | v124(constB163, bitIndex1) | (~v121(constB163, bitIndex1))) <=> ((~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19877,plain,
% 20.23/13.84 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB163) | v124(constB163, bitIndex1) | (~v121(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1)))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19876])).
% 20.23/13.84 tff(19878,plain,
% 20.23/13.84 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB163) | v124(constB163, bitIndex1) | (~v121(constB163, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19877, 19875])).
% 20.23/13.84 tff(19879,plain,
% 20.23/13.84 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB163) | v124(constB163, bitIndex1) | (~v121(constB163, bitIndex1)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19880,plain,
% 20.23/13.84 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1)),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19879, 19878])).
% 20.23/13.84 tff(19881,plain,
% 20.23/13.84 ((~v121(constB163, bitIndex1)) | v124(constB163, bitIndex1)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19880, 483, 19702])).
% 20.23/13.84 tff(19882,plain,
% 20.23/13.84 (~v121(constB163, bitIndex1)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19881, 19874])).
% 20.23/13.84 tff(19883,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19884,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19885,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19884, 19883])).
% 20.23/13.84 tff(19886,plain,
% 20.23/13.84 (v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19885, 501, 19710])).
% 20.23/13.84 tff(19887,plain,
% 20.23/13.84 (~v123(constB164, bitIndex1)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19886, 19882])).
% 20.23/13.84 tff(19888,plain,
% 20.23/13.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19889,plain,
% 20.23/13.84 (((~v84(constB164, bitIndex1)) | (~v94(constB164)) | v123(constB164, bitIndex1)) <=> ((~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19890,plain,
% 20.23/13.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~v94(constB164)) | v123(constB164, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164))))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19889])).
% 20.23/13.84 tff(19891,plain,
% 20.23/13.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~v94(constB164)) | v123(constB164, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164)))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19890, 19888])).
% 20.23/13.84 tff(19892,plain,
% 20.23/13.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~v94(constB164)) | v123(constB164, bitIndex1))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19893,plain,
% 20.23/13.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19892, 19891])).
% 20.23/13.84 tff(19894,plain,
% 20.23/13.84 (~v84(constB164, bitIndex1)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19893, 516, 19836, 19887])).
% 20.23/13.84 tff(19895,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19896,plain,
% 20.23/13.84 (((~nextState(constB164, constB165)) | v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1))) <=> (v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19897,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1))))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19896])).
% 20.23/13.84 tff(19898,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1)))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19897, 19895])).
% 20.23/13.84 tff(19899,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19900,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19899, 19898])).
% 20.23/13.84 tff(19901,plain,
% 20.23/13.84 (v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19900, 142, 19849])).
% 20.23/13.84 tff(19902,plain,
% 20.23/13.84 (v84(constB164, bitIndex1) | (~v84(constB165, bitIndex1))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19901, 19861])).
% 20.23/13.84 tff(19903,plain,
% 20.23/13.84 (~v84(constB165, bitIndex1)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19902, 19894])).
% 20.23/13.84 tff(19904,plain,
% 20.23/13.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19905,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19906,plain,
% 20.23/13.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19905, 19904])).
% 20.23/13.84 tff(19907,plain,
% 20.23/13.84 (v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0))),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19906, 903, 19710])).
% 20.23/13.84 tff(19908,plain,
% 20.23/13.84 (~v123(constB164, bitIndex0)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19907, 19735])).
% 20.23/13.84 tff(19909,plain,
% 20.23/13.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19910,plain,
% 20.23/13.84 (((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0)) <=> ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 20.23/13.84 inference(rewrite,[status(thm)],[])).
% 20.23/13.84 tff(19911,plain,
% 20.23/13.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164))))),
% 20.23/13.84 inference(monotonicity,[status(thm)],[19910])).
% 20.23/13.84 tff(19912,plain,
% 20.23/13.84 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 20.23/13.84 inference(transitivity,[status(thm)],[19911, 19909])).
% 20.23/13.84 tff(19913,plain,
% 20.23/13.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))),
% 20.23/13.84 inference(quant_inst,[status(thm)],[])).
% 20.23/13.84 tff(19914,plain,
% 20.23/13.84 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164))),
% 20.23/13.84 inference(modus_ponens,[status(thm)],[19913, 19912])).
% 20.23/13.84 tff(19915,plain,
% 20.23/13.84 (~v84(constB164, bitIndex0)),
% 20.23/13.84 inference(unit_resolution,[status(thm)],[19914, 918, 19836, 19908])).
% 20.23/13.85 tff(19916,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19917,plain,
% 20.23/13.85 (((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0))) <=> (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19918,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0))))),
% 20.23/13.85 inference(monotonicity,[status(thm)],[19917])).
% 20.23/13.85 tff(19919,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 20.23/13.85 inference(transitivity,[status(thm)],[19918, 19916])).
% 20.23/13.85 tff(19920,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19921,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19920, 19919])).
% 20.23/13.85 tff(19922,plain,
% 20.23/13.85 (v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19921, 163, 19849])).
% 20.23/13.85 tff(19923,plain,
% 20.23/13.85 (v84(constB164, bitIndex0) | (~v84(constB165, bitIndex0))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19922, 19861])).
% 20.23/13.85 tff(19924,plain,
% 20.23/13.85 (~v84(constB165, bitIndex0)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19923, 19915])).
% 20.23/13.85 tff(19925,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)) | v172(constB165))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)) | v172(constB165))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19926,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)) | v172(constB165))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19927,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)) | v172(constB165)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19926, 19925])).
% 20.23/13.85 tff(19928,plain,
% 20.23/13.85 (v172(constB165)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19927, 1446, 19924, 19903, 19870])).
% 20.23/13.85 tff(19929,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB165) | (~v172(constB165)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB165) | (~v172(constB165)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19930,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB165) | (~v172(constB165)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19931,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB165) | (~v172(constB165))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19930, 19929])).
% 20.23/13.85 tff(19932,plain,
% 20.23/13.85 (v109(constB165)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19931, 1457, 19928])).
% 20.23/13.85 tff(19933,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB165) | (~v109(constB165)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB165) | (~v109(constB165)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19934,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB165) | (~v109(constB165)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19935,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB165) | (~v109(constB165))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19934, 19933])).
% 20.23/13.85 tff(19936,plain,
% 20.23/13.85 (v108(constB165)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19935, 239, 19932])).
% 20.23/13.85 tff(19937,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB165) | (~v108(constB165)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB165) | (~v108(constB165)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19938,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB165) | (~v108(constB165)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19939,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB165) | (~v108(constB165))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19938, 19937])).
% 20.23/13.85 tff(19940,plain,
% 20.23/13.85 (v107(constB165)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19939, 250, 19936])).
% 20.23/13.85 tff(19941,assumption,(v26(constB165)), introduced(assumption)).
% 20.23/13.85 tff(19942,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19943,plain,
% 20.23/13.85 ($false),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19942, 18, 19941])).
% 20.23/13.85 tff(19944,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.85 tff(19945,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | v106(constB165) | (~v107(constB165)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | v106(constB165) | (~v107(constB165)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19946,plain,
% 20.23/13.85 ((v26(constB165) | (~v107(constB165)) | v106(constB165)) <=> (v26(constB165) | v106(constB165) | (~v107(constB165)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19947,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | v106(constB165) | (~v107(constB165))))),
% 20.23/13.85 inference(monotonicity,[status(thm)],[19946])).
% 20.23/13.85 tff(19948,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | v106(constB165) | (~v107(constB165)))),
% 20.23/13.85 inference(transitivity,[status(thm)],[19947, 19945])).
% 20.23/13.85 tff(19949,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19950,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | v106(constB165) | (~v107(constB165))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19949, 19948])).
% 20.23/13.85 tff(19951,plain,
% 20.23/13.85 (v106(constB165) | (~v107(constB165))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19950, 264, 19944])).
% 20.23/13.85 tff(19952,plain,
% 20.23/13.85 (v106(constB165)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19951, 19940])).
% 20.23/13.85 tff(19953,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB165) | (~v106(constB165)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB165) | (~v106(constB165)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19954,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB165) | (~v106(constB165)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19955,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB165) | (~v106(constB165))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19954, 19953])).
% 20.23/13.85 tff(19956,plain,
% 20.23/13.85 (v102(constB165)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19955, 276, 19952])).
% 20.23/13.85 tff(19957,plain,
% 20.23/13.85 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19958,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 20.23/13.85 tff(19959,plain,
% 20.23/13.85 (nextState(constB165, constB166)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19958, 19957])).
% 20.23/13.85 tff(19960,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19961,plain,
% 20.23/13.85 (((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166)) <=> ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19962,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165))))),
% 20.23/13.85 inference(monotonicity,[status(thm)],[19961])).
% 20.23/13.85 tff(19963,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 20.23/13.85 inference(transitivity,[status(thm)],[19962, 19960])).
% 20.23/13.85 tff(19964,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19965,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19964, 19963])).
% 20.23/13.85 tff(19966,plain,
% 20.23/13.85 (v104(constB166) | (~v102(constB165))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19965, 293, 19959])).
% 20.23/13.85 tff(19967,plain,
% 20.23/13.85 (v104(constB166)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19966, 19956])).
% 20.23/13.85 tff(19968,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19969,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19970,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19969, 19968])).
% 20.23/13.85 tff(19971,plain,
% 20.23/13.85 (~v98(constB166)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19970, 311, 19959, 19846])).
% 20.23/13.85 tff(19972,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19973,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19974,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB165, constB166)) | v96(constB166) | v98(constB166)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19973, 19972])).
% 20.23/13.85 tff(19975,plain,
% 20.23/13.85 (v96(constB166) | v98(constB166)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19974, 325, 19959])).
% 20.23/13.85 tff(19976,plain,
% 20.23/13.85 (v96(constB166)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19975, 19971])).
% 20.23/13.85 tff(19977,plain,
% 20.23/13.85 (v1(constB166) <=> v1(constB166)),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19978,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 20.23/13.85 tff(19979,plain,
% 20.23/13.85 (v1(constB166)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19978, 19977])).
% 20.23/13.85 tff(19980,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19981,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19982,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19981, 19980])).
% 20.23/13.85 tff(19983,plain,
% 20.23/13.85 (v95(constB166) | (~v96(constB166))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19982, 343, 19959, 19979])).
% 20.23/13.85 tff(19984,plain,
% 20.23/13.85 (v95(constB166)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19983, 19976])).
% 20.23/13.85 tff(19985,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19986,plain,
% 20.23/13.85 (((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166)) <=> ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19987,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166))))),
% 20.23/13.85 inference(monotonicity,[status(thm)],[19986])).
% 20.23/13.85 tff(19988,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 20.23/13.85 inference(transitivity,[status(thm)],[19987, 19985])).
% 20.23/13.85 tff(19989,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19990,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19989, 19988])).
% 20.23/13.85 tff(19991,plain,
% 20.23/13.85 (v94(constB166) | (~v95(constB166)) | (~v104(constB166))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19990, 358, 19959])).
% 20.23/13.85 tff(19992,plain,
% 20.23/13.85 (v94(constB166) | (~v104(constB166))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19991, 19984])).
% 20.23/13.85 tff(19993,plain,
% 20.23/13.85 (v94(constB166)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19992, 19967])).
% 20.23/13.85 tff(19994,plain,
% 20.23/13.85 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB165)) | v124(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB165)) | v124(constB165, bitIndex2))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19995,plain,
% 20.23/13.85 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB165)) | v124(constB165, bitIndex2))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(19996,plain,
% 20.23/13.85 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB165)) | v124(constB165, bitIndex2)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19995, 19994])).
% 20.23/13.85 tff(19997,plain,
% 20.23/13.85 (v124(constB165, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[19996, 1528, 19928])).
% 20.23/13.85 tff(19998,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB165) | (~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB165) | (~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(19999,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB165) | (~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(20000,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB165) | (~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 20.23/13.85 tff(20001,plain,
% 20.23/13.85 ((~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20000, 1273, 19944])).
% 20.23/13.85 tff(20002,plain,
% 20.23/13.85 (v121(constB165, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20001, 19997])).
% 20.23/13.85 tff(20003,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20004,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(20005,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[20004, 20003])).
% 20.23/13.85 tff(20006,plain,
% 20.23/13.85 ((~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20005, 1288, 19959])).
% 20.23/13.85 tff(20007,plain,
% 20.23/13.85 (v123(constB166, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20006, 20002])).
% 20.23/13.85 tff(20008,plain,
% 20.23/13.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20009,plain,
% 20.23/13.85 ((v84(constB166, bitIndex2) | (~v94(constB166)) | (~v123(constB166, bitIndex2))) <=> (v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20010,plain,
% 20.23/13.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v94(constB166)) | (~v123(constB166, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166))))),
% 20.23/13.85 inference(monotonicity,[status(thm)],[20009])).
% 20.23/13.85 tff(20011,plain,
% 20.23/13.85 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v94(constB166)) | (~v123(constB166, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166)))),
% 20.23/13.85 inference(transitivity,[status(thm)],[20010, 20008])).
% 20.23/13.85 tff(20012,plain,
% 20.23/13.85 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v94(constB166)) | (~v123(constB166, bitIndex2)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(20013,plain,
% 20.23/13.85 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[20012, 20011])).
% 20.23/13.85 tff(20014,plain,
% 20.23/13.85 (v84(constB166, bitIndex2) | (~v94(constB166))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20013, 1303, 20007])).
% 20.23/13.85 tff(20015,plain,
% 20.23/13.85 (v84(constB166, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20014, 19993])).
% 20.23/13.85 tff(20016,plain,
% 20.23/13.85 ((~v1(constB167)) <=> (~v1(constB167))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20017,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 20.23/13.85 tff(20018,plain,
% 20.23/13.85 (~v1(constB167)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[20017, 20016])).
% 20.23/13.85 tff(20019,plain,
% 20.23/13.85 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20020,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 20.23/13.85 tff(20021,plain,
% 20.23/13.85 (nextState(constB166, constB167)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 20.23/13.85 tff(20022,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20023,plain,
% 20.23/13.85 (((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20024,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167))))),
% 20.23/13.85 inference(monotonicity,[status(thm)],[20023])).
% 20.23/13.85 tff(20025,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 20.23/13.85 inference(transitivity,[status(thm)],[20024, 20022])).
% 20.23/13.85 tff(20026,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(20027,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[20026, 20025])).
% 20.23/13.85 tff(20028,plain,
% 20.23/13.85 (~v95(constB167)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20027, 89, 20021, 20018])).
% 20.23/13.85 tff(20029,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20030,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(20031,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 20.23/13.85 tff(20032,plain,
% 20.23/13.85 (v95(constB167) | (~v94(constB167))),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20031, 106, 20021])).
% 20.23/13.85 tff(20033,plain,
% 20.23/13.85 (~v94(constB167)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20032, 20028])).
% 20.23/13.85 tff(20034,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20035,plain,
% 20.23/13.85 (((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2)) <=> ((~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20036,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2)))),
% 20.23/13.85 inference(monotonicity,[status(thm)],[20035])).
% 20.23/13.85 tff(20037,plain,
% 20.23/13.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2))),
% 20.23/13.85 inference(transitivity,[status(thm)],[20036, 20034])).
% 20.23/13.85 tff(20038,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(20039,plain,
% 20.23/13.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2)),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[20038, 20037])).
% 20.23/13.85 tff(20040,plain,
% 20.23/13.85 ((~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20039, 1339, 20021])).
% 20.23/13.85 tff(20041,plain,
% 20.23/13.85 ((~v84(constB166, bitIndex2)) | v84(constB167, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20040, 20033])).
% 20.23/13.85 tff(20042,plain,
% 20.23/13.85 (v84(constB167, bitIndex2)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20041, 20015])).
% 20.23/13.85 tff(20043,plain,
% 20.23/13.85 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB165)) | (~v124(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB165)) | (~v124(constB165, bitIndex1)))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20044,plain,
% 20.23/13.85 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB165)) | (~v124(constB165, bitIndex1)))),
% 20.23/13.85 inference(quant_inst,[status(thm)],[])).
% 20.23/13.85 tff(20045,plain,
% 20.23/13.85 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB165)) | (~v124(constB165, bitIndex1))),
% 20.23/13.85 inference(modus_ponens,[status(thm)],[20044, 20043])).
% 20.23/13.85 tff(20046,plain,
% 20.23/13.85 (~v124(constB165, bitIndex1)),
% 20.23/13.85 inference(unit_resolution,[status(thm)],[20045, 1587, 19928])).
% 20.23/13.85 tff(20047,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20048,plain,
% 20.23/13.85 ((v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1))) <=> ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 20.23/13.85 inference(rewrite,[status(thm)],[])).
% 20.23/13.85 tff(20049,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1)))),
% 20.23/13.85 inference(monotonicity,[status(thm)],[20048])).
% 20.23/13.85 tff(20050,plain,
% 20.23/13.85 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 20.23/13.85 inference(transitivity,[status(thm)],[20049, 20047])).
% 20.23/13.85 tff(20051,plain,
% 20.23/13.85 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20052,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20051, 20050])).
% 20.23/13.86 tff(20053,plain,
% 20.23/13.86 ((~v121(constB165, bitIndex1)) | v124(constB165, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20052, 483, 19944])).
% 20.23/13.86 tff(20054,plain,
% 20.23/13.86 (~v121(constB165, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20053, 20046])).
% 20.23/13.86 tff(20055,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20056,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20057,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20056, 20055])).
% 20.23/13.86 tff(20058,plain,
% 20.23/13.86 (v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20057, 501, 19959])).
% 20.23/13.86 tff(20059,plain,
% 20.23/13.86 (~v123(constB166, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20058, 20054])).
% 20.23/13.86 tff(20060,plain,
% 20.23/13.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20061,plain,
% 20.23/13.86 (((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1)) <=> ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20062,plain,
% 20.23/13.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166))))),
% 20.23/13.86 inference(monotonicity,[status(thm)],[20061])).
% 20.23/13.86 tff(20063,plain,
% 20.23/13.86 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 20.23/13.86 inference(transitivity,[status(thm)],[20062, 20060])).
% 20.23/13.86 tff(20064,plain,
% 20.23/13.86 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20065,plain,
% 20.23/13.86 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20064, 20063])).
% 20.23/13.86 tff(20066,plain,
% 20.23/13.86 ((~v84(constB166, bitIndex1)) | (~v94(constB166))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20065, 516, 20059])).
% 20.23/13.86 tff(20067,plain,
% 20.23/13.86 (~v84(constB166, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20066, 19993])).
% 20.23/13.86 tff(20068,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20069,plain,
% 20.23/13.86 (((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1))) <=> (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20070,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1))))),
% 20.23/13.86 inference(monotonicity,[status(thm)],[20069])).
% 20.23/13.86 tff(20071,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 20.23/13.86 inference(transitivity,[status(thm)],[20070, 20068])).
% 20.23/13.86 tff(20072,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20073,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20072, 20071])).
% 20.23/13.86 tff(20074,plain,
% 20.23/13.86 (v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20073, 142, 20021])).
% 20.23/13.86 tff(20075,plain,
% 20.23/13.86 (v84(constB166, bitIndex1) | (~v84(constB167, bitIndex1))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20074, 20033])).
% 20.23/13.86 tff(20076,plain,
% 20.23/13.86 (~v84(constB167, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20075, 20067])).
% 20.23/13.86 tff(20077,plain,
% 20.23/13.86 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB165)) | v124(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB165)) | v124(constB165, bitIndex0))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20078,plain,
% 20.23/13.86 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB165)) | v124(constB165, bitIndex0))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20079,plain,
% 20.23/13.86 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB165)) | v124(constB165, bitIndex0)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20078, 20077])).
% 20.23/13.86 tff(20080,plain,
% 20.23/13.86 (v124(constB165, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20079, 1631, 19928])).
% 20.23/13.86 tff(20081,plain,
% 20.23/13.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20082,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20083,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20082, 20081])).
% 20.23/13.86 tff(20084,plain,
% 20.23/13.86 ((~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20083, 557, 19944])).
% 20.23/13.86 tff(20085,plain,
% 20.23/13.86 (v121(constB165, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20084, 20080])).
% 20.23/13.86 tff(20086,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20087,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20088,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20087, 20086])).
% 20.23/13.86 tff(20089,plain,
% 20.23/13.86 ((~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20088, 572, 19959])).
% 20.23/13.86 tff(20090,plain,
% 20.23/13.86 (v123(constB166, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20089, 20085])).
% 20.23/13.86 tff(20091,plain,
% 20.23/13.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20092,plain,
% 20.23/13.86 ((v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0))) <=> (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20093,plain,
% 20.23/13.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166))))),
% 20.23/13.86 inference(monotonicity,[status(thm)],[20092])).
% 20.23/13.86 tff(20094,plain,
% 20.23/13.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 20.23/13.86 inference(transitivity,[status(thm)],[20093, 20091])).
% 20.23/13.86 tff(20095,plain,
% 20.23/13.86 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20096,plain,
% 20.23/13.86 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20095, 20094])).
% 20.23/13.86 tff(20097,plain,
% 20.23/13.86 (v84(constB166, bitIndex0) | (~v94(constB166))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20096, 587, 20090])).
% 20.23/13.86 tff(20098,plain,
% 20.23/13.86 (v84(constB166, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20097, 19993])).
% 20.23/13.86 tff(20099,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20100,plain,
% 20.23/13.86 (((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0)) <=> ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20101,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0)))),
% 20.23/13.86 inference(monotonicity,[status(thm)],[20100])).
% 20.23/13.86 tff(20102,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 20.23/13.86 inference(transitivity,[status(thm)],[20101, 20099])).
% 20.23/13.86 tff(20103,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20104,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20103, 20102])).
% 20.23/13.86 tff(20105,plain,
% 20.23/13.86 ((~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20104, 605, 20021])).
% 20.23/13.86 tff(20106,plain,
% 20.23/13.86 ((~v84(constB166, bitIndex0)) | v84(constB167, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20105, 20033])).
% 20.23/13.86 tff(20107,plain,
% 20.23/13.86 (v84(constB167, bitIndex0)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20106, 20098])).
% 20.23/13.86 tff(20108,plain,
% 20.23/13.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex2)) | v118(constB167))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex2)) | v118(constB167))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20109,plain,
% 20.23/13.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex2)) | v118(constB167))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20110,plain,
% 20.23/13.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex2)) | v118(constB167)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20109, 20108])).
% 20.23/13.86 tff(20111,plain,
% 20.23/13.86 (v118(constB167)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20110, 1672, 20107, 20076, 20042])).
% 20.23/13.86 tff(20112,plain,
% 20.23/13.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB167) | (~v118(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB167) | (~v118(constB167)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20113,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB167) | (~v118(constB167)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20114,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB167) | (~v118(constB167))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20113, 20112])).
% 20.23/13.86 tff(20115,plain,
% 20.23/13.86 (v108(constB167)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20114, 1683, 20111])).
% 20.23/13.86 tff(20116,plain,
% 20.23/13.86 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB167) | (~v108(constB167)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB167) | (~v108(constB167)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20117,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB167) | (~v108(constB167)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20118,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB167) | (~v108(constB167))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20117, 20116])).
% 20.23/13.86 tff(20119,plain,
% 20.23/13.86 (v107(constB167)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20118, 250, 20115])).
% 20.23/13.86 tff(20120,assumption,(v26(constB167)), introduced(assumption)).
% 20.23/13.86 tff(20121,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20122,plain,
% 20.23/13.86 ($false),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20121, 18, 20120])).
% 20.23/13.86 tff(20123,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.86 tff(20124,plain,
% 20.23/13.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | v106(constB167) | (~v107(constB167)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20125,plain,
% 20.23/13.86 ((v26(constB167) | (~v107(constB167)) | v106(constB167)) <=> (v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20126,plain,
% 20.23/13.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | v106(constB167) | (~v107(constB167))))),
% 20.23/13.86 inference(monotonicity,[status(thm)],[20125])).
% 20.23/13.86 tff(20127,plain,
% 20.23/13.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 20.23/13.86 inference(transitivity,[status(thm)],[20126, 20124])).
% 20.23/13.86 tff(20128,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20129,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20128, 20127])).
% 20.23/13.86 tff(20130,plain,
% 20.23/13.86 (v106(constB167) | (~v107(constB167))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20129, 264, 20123])).
% 20.23/13.86 tff(20131,plain,
% 20.23/13.86 (v106(constB167)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20130, 20119])).
% 20.23/13.86 tff(20132,plain,
% 20.23/13.86 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB167) | (~v106(constB167)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB167) | (~v106(constB167)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20133,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB167) | (~v106(constB167)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20134,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB167) | (~v106(constB167))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20133, 20132])).
% 20.23/13.86 tff(20135,plain,
% 20.23/13.86 (v102(constB167)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20134, 276, 20131])).
% 20.23/13.86 tff(20136,plain,
% 20.23/13.86 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20137,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 20.23/13.86 tff(20138,plain,
% 20.23/13.86 (nextState(constB167, constB168)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20137, 20136])).
% 20.23/13.86 tff(20139,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20140,plain,
% 20.23/13.86 (((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168)) <=> ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20141,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167))))),
% 20.23/13.86 inference(monotonicity,[status(thm)],[20140])).
% 20.23/13.86 tff(20142,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 20.23/13.86 inference(transitivity,[status(thm)],[20141, 20139])).
% 20.23/13.86 tff(20143,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20144,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20143, 20142])).
% 20.23/13.86 tff(20145,plain,
% 20.23/13.86 (v104(constB168) | (~v102(constB167))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20144, 293, 20138])).
% 20.23/13.86 tff(20146,plain,
% 20.23/13.86 (v104(constB168)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20145, 20135])).
% 20.23/13.86 tff(20147,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20148,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20149,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 20.23/13.86 tff(20150,plain,
% 20.23/13.86 (~v98(constB168)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20149, 311, 20138, 20018])).
% 20.23/13.86 tff(20151,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20152,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20153,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB167, constB168)) | v96(constB168) | v98(constB168)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20152, 20151])).
% 20.23/13.86 tff(20154,plain,
% 20.23/13.86 (v96(constB168) | v98(constB168)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20153, 325, 20138])).
% 20.23/13.86 tff(20155,plain,
% 20.23/13.86 (v96(constB168)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20154, 20150])).
% 20.23/13.86 tff(20156,plain,
% 20.23/13.86 (v1(constB168) <=> v1(constB168)),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20157,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 20.23/13.86 tff(20158,plain,
% 20.23/13.86 (v1(constB168)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20157, 20156])).
% 20.23/13.86 tff(20159,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20160,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20161,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 20.23/13.86 tff(20162,plain,
% 20.23/13.86 (v95(constB168) | (~v96(constB168))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20161, 343, 20138, 20158])).
% 20.23/13.86 tff(20163,plain,
% 20.23/13.86 (v95(constB168)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20162, 20155])).
% 20.23/13.86 tff(20164,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20165,plain,
% 20.23/13.86 (((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168)) <=> ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20166,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168))))),
% 20.23/13.86 inference(monotonicity,[status(thm)],[20165])).
% 20.23/13.86 tff(20167,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 20.23/13.86 inference(transitivity,[status(thm)],[20166, 20164])).
% 20.23/13.86 tff(20168,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20169,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168))),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20168, 20167])).
% 20.23/13.86 tff(20170,plain,
% 20.23/13.86 (v94(constB168) | (~v95(constB168)) | (~v104(constB168))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20169, 358, 20138])).
% 20.23/13.86 tff(20171,plain,
% 20.23/13.86 (v94(constB168) | (~v104(constB168))),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20170, 20163])).
% 20.23/13.86 tff(20172,plain,
% 20.23/13.86 (v94(constB168)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20171, 20146])).
% 20.23/13.86 tff(20173,plain,
% 20.23/13.86 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB167)) | v124(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB167)) | v124(constB167, bitIndex1))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20174,plain,
% 20.23/13.86 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB167)) | v124(constB167, bitIndex1))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20175,plain,
% 20.23/13.86 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB167)) | v124(constB167, bitIndex1)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 20.23/13.86 tff(20176,plain,
% 20.23/13.86 (v124(constB167, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20175, 1809, 20111])).
% 20.23/13.86 tff(20177,plain,
% 20.23/13.86 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20178,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20179,plain,
% 20.23/13.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20178, 20177])).
% 20.23/13.86 tff(20180,plain,
% 20.23/13.86 ((~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20179, 804, 20123])).
% 20.23/13.86 tff(20181,plain,
% 20.23/13.86 (v121(constB167, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20180, 20176])).
% 20.23/13.86 tff(20182,plain,
% 20.23/13.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20183,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))),
% 20.23/13.86 inference(quant_inst,[status(thm)],[])).
% 20.23/13.86 tff(20184,plain,
% 20.23/13.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1)),
% 20.23/13.86 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 20.23/13.86 tff(20185,plain,
% 20.23/13.86 ((~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20184, 819, 20138])).
% 20.23/13.86 tff(20186,plain,
% 20.23/13.86 (v123(constB168, bitIndex1)),
% 20.23/13.86 inference(unit_resolution,[status(thm)],[20185, 20181])).
% 20.23/13.86 tff(20187,plain,
% 20.23/13.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20188,plain,
% 20.23/13.86 ((v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1))) <=> (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 20.23/13.86 inference(rewrite,[status(thm)],[])).
% 20.23/13.86 tff(20189,plain,
% 20.23/13.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168))))),
% 20.23/13.86 inference(monotonicity,[status(thm)],[20188])).
% 20.23/13.86 tff(20190,plain,
% 20.23/13.86 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 20.23/13.86 inference(transitivity,[status(thm)],[20189, 20187])).
% 20.23/13.87 tff(20191,plain,
% 20.23/13.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20192,plain,
% 20.23/13.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20191, 20190])).
% 20.23/13.87 tff(20193,plain,
% 20.23/13.87 (v84(constB168, bitIndex1) | (~v94(constB168))),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20192, 834, 20186])).
% 20.23/13.87 tff(20194,plain,
% 20.23/13.87 (v84(constB168, bitIndex1)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20193, 20172])).
% 20.23/13.87 tff(20195,plain,
% 20.23/13.87 ((~v1(constB169)) <=> (~v1(constB169))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20196,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 20.23/13.87 tff(20197,plain,
% 20.23/13.87 (~v1(constB169)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20196, 20195])).
% 20.23/13.87 tff(20198,plain,
% 20.23/13.87 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20199,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 20.23/13.87 tff(20200,plain,
% 20.23/13.87 (nextState(constB168, constB169)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20199, 20198])).
% 20.23/13.87 tff(20201,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20202,plain,
% 20.23/13.87 (((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20203,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169))))),
% 20.23/13.87 inference(monotonicity,[status(thm)],[20202])).
% 20.23/13.87 tff(20204,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 20.23/13.87 inference(transitivity,[status(thm)],[20203, 20201])).
% 20.23/13.87 tff(20205,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20206,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20205, 20204])).
% 20.23/13.87 tff(20207,plain,
% 20.23/13.87 (~v95(constB169)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20206, 89, 20200, 20197])).
% 20.23/13.87 tff(20208,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20209,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20210,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 20.23/13.87 tff(20211,plain,
% 20.23/13.87 (v95(constB169) | (~v94(constB169))),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20210, 106, 20200])).
% 20.23/13.87 tff(20212,plain,
% 20.23/13.87 (~v94(constB169)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20211, 20207])).
% 20.23/13.87 tff(20213,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20214,plain,
% 20.23/13.87 (((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1)) <=> ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20215,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1)))),
% 20.23/13.87 inference(monotonicity,[status(thm)],[20214])).
% 20.23/13.87 tff(20216,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 20.23/13.87 inference(transitivity,[status(thm)],[20215, 20213])).
% 20.23/13.87 tff(20217,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20218,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20217, 20216])).
% 20.23/13.87 tff(20219,plain,
% 20.23/13.87 ((~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20218, 852, 20200])).
% 20.23/13.87 tff(20220,plain,
% 20.23/13.87 ((~v84(constB168, bitIndex1)) | v84(constB169, bitIndex1)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20219, 20212])).
% 20.23/13.87 tff(20221,plain,
% 20.23/13.87 (v84(constB169, bitIndex1)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20220, 20194])).
% 20.23/13.87 tff(20222,plain,
% 20.23/13.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB169, bitIndex1)) | (~v172(constB169)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB169, bitIndex1)) | (~v172(constB169)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20223,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB169, bitIndex1)) | (~v172(constB169)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20224,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB169, bitIndex1)) | (~v172(constB169))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20223, 20222])).
% 20.23/13.87 tff(20225,plain,
% 20.23/13.87 (~v172(constB169)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20224, 2023, 20221])).
% 20.23/13.87 tff(20226,plain,
% 20.23/13.87 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB167)) | v124(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB167)) | v124(constB167, bitIndex2))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20227,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB167)) | v124(constB167, bitIndex2))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20228,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB167)) | v124(constB167, bitIndex2)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20227, 20226])).
% 20.23/13.87 tff(20229,plain,
% 20.23/13.87 (v124(constB167, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20228, 1750, 20111])).
% 20.23/13.87 tff(20230,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB167) | (~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB167) | (~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20231,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB167) | (~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20232,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB167) | (~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20231, 20230])).
% 20.23/13.87 tff(20233,plain,
% 20.23/13.87 ((~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20232, 1273, 20123])).
% 20.23/13.87 tff(20234,plain,
% 20.23/13.87 (v121(constB167, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20233, 20229])).
% 20.23/13.87 tff(20235,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20236,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20237,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20236, 20235])).
% 20.23/13.87 tff(20238,plain,
% 20.23/13.87 ((~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20237, 1288, 20138])).
% 20.23/13.87 tff(20239,plain,
% 20.23/13.87 (v123(constB168, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20238, 20234])).
% 20.23/13.87 tff(20240,plain,
% 20.23/13.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20241,plain,
% 20.23/13.87 ((v84(constB168, bitIndex2) | (~v94(constB168)) | (~v123(constB168, bitIndex2))) <=> (v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20242,plain,
% 20.23/13.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v94(constB168)) | (~v123(constB168, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168))))),
% 20.23/13.87 inference(monotonicity,[status(thm)],[20241])).
% 20.23/13.87 tff(20243,plain,
% 20.23/13.87 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v94(constB168)) | (~v123(constB168, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168)))),
% 20.23/13.87 inference(transitivity,[status(thm)],[20242, 20240])).
% 20.23/13.87 tff(20244,plain,
% 20.23/13.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v94(constB168)) | (~v123(constB168, bitIndex2)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20245,plain,
% 20.23/13.87 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20244, 20243])).
% 20.23/13.87 tff(20246,plain,
% 20.23/13.87 (v84(constB168, bitIndex2) | (~v94(constB168))),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20245, 1303, 20239])).
% 20.23/13.87 tff(20247,plain,
% 20.23/13.87 (v84(constB168, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20246, 20172])).
% 20.23/13.87 tff(20248,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20249,plain,
% 20.23/13.87 (((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2)) <=> ((~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20250,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2)))),
% 20.23/13.87 inference(monotonicity,[status(thm)],[20249])).
% 20.23/13.87 tff(20251,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2))),
% 20.23/13.87 inference(transitivity,[status(thm)],[20250, 20248])).
% 20.23/13.87 tff(20252,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20253,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 20.23/13.87 tff(20254,plain,
% 20.23/13.87 ((~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20253, 1339, 20200])).
% 20.23/13.87 tff(20255,plain,
% 20.23/13.87 ((~v84(constB168, bitIndex2)) | v84(constB169, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20254, 20212])).
% 20.23/13.87 tff(20256,plain,
% 20.23/13.87 (v84(constB169, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20255, 20247])).
% 20.23/13.87 tff(20257,plain,
% 20.23/13.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB169, bitIndex2)) | (~v116(constB169)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB169, bitIndex2)) | (~v116(constB169)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20258,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB169, bitIndex2)) | (~v116(constB169)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20259,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB169, bitIndex2)) | (~v116(constB169))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20258, 20257])).
% 20.23/13.87 tff(20260,plain,
% 20.23/13.87 (~v116(constB169)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20259, 1976, 20256])).
% 20.23/13.87 tff(20261,plain,
% 20.23/13.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB169, bitIndex1)) | (~v145(constB169)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB169, bitIndex1)) | (~v145(constB169)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20262,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB169, bitIndex1)) | (~v145(constB169)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20263,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB169, bitIndex1)) | (~v145(constB169))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20262, 20261])).
% 20.23/13.87 tff(20264,plain,
% 20.23/13.87 (~v145(constB169)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20263, 2012, 20221])).
% 20.23/13.87 tff(20265,plain,
% 20.23/13.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB169, bitIndex2)) | (~v115(constB169)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB169, bitIndex2)) | (~v115(constB169)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20266,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB169, bitIndex2)) | (~v115(constB169)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20267,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB169, bitIndex2)) | (~v115(constB169))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20266, 20265])).
% 20.23/13.87 tff(20268,plain,
% 20.23/13.87 (~v115(constB169)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20267, 1965, 20256])).
% 20.23/13.87 tff(20269,plain,
% 20.23/13.87 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB169)) | (~v84(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB169)) | (~v84(constB169, bitIndex1)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20270,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB169)) | (~v84(constB169, bitIndex1)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20271,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB169)) | (~v84(constB169, bitIndex1))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20270, 20269])).
% 20.23/13.87 tff(20272,plain,
% 20.23/13.87 (~v113(constB169)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20271, 1990, 20221])).
% 20.23/13.87 tff(20273,plain,
% 20.23/13.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB169, bitIndex1)) | (~v118(constB169)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB169, bitIndex1)) | (~v118(constB169)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20274,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB169, bitIndex1)) | (~v118(constB169)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20275,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB169, bitIndex1)) | (~v118(constB169))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20274, 20273])).
% 20.23/13.87 tff(20276,plain,
% 20.23/13.87 (~v118(constB169)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20275, 2001, 20221])).
% 20.23/13.87 tff(20277,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex2)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20278,plain,
% 20.23/13.87 ((v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex2))) <=> (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex2)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20279,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex2))))),
% 20.23/13.87 inference(monotonicity,[status(thm)],[20278])).
% 20.23/13.87 tff(20280,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex2)))),
% 20.23/13.87 inference(transitivity,[status(thm)],[20279, 20277])).
% 20.23/13.87 tff(20281,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex2)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20282,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex2))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20281, 20280])).
% 20.23/13.87 tff(20283,plain,
% 20.23/13.87 (~v124(constB169, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20282, 2037, 20276, 20272, 20268, 20264, 20260, 20225])).
% 20.23/13.87 tff(20284,assumption,(v26(constB169)), introduced(assumption)).
% 20.23/13.87 tff(20285,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20286,plain,
% 20.23/13.87 ($false),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20285, 18, 20284])).
% 20.23/13.87 tff(20287,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.87 tff(20288,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20289,plain,
% 20.23/13.87 ((v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2))) <=> ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20290,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2)))),
% 20.23/13.87 inference(monotonicity,[status(thm)],[20289])).
% 20.23/13.87 tff(20291,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 20.23/13.87 inference(transitivity,[status(thm)],[20290, 20288])).
% 20.23/13.87 tff(20292,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20293,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20292, 20291])).
% 20.23/13.87 tff(20294,plain,
% 20.23/13.87 ((~v121(constB169, bitIndex2)) | v124(constB169, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20293, 391, 20287])).
% 20.23/13.87 tff(20295,plain,
% 20.23/13.87 (~v121(constB169, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20294, 20283])).
% 20.23/13.87 tff(20296,plain,
% 20.23/13.87 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20297,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 20.23/13.87 tff(20298,plain,
% 20.23/13.87 (nextState(constB169, constB170)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20297, 20296])).
% 20.23/13.87 tff(20299,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20300,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20301,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20300, 20299])).
% 20.23/13.87 tff(20302,plain,
% 20.23/13.87 (v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2))),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20301, 409, 20298])).
% 20.23/13.87 tff(20303,plain,
% 20.23/13.87 (~v123(constB170, bitIndex2)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20302, 20295])).
% 20.23/13.87 tff(20304,plain,
% 20.23/13.87 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB167)) | (~v124(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB167)) | (~v124(constB167, bitIndex0)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20305,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB167)) | (~v124(constB167, bitIndex0)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20306,plain,
% 20.23/13.87 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB167)) | (~v124(constB167, bitIndex0))),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 20.23/13.87 tff(20307,plain,
% 20.23/13.87 (~v124(constB167, bitIndex0)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20306, 1850, 20111])).
% 20.23/13.87 tff(20308,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20309,plain,
% 20.23/13.87 ((v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0))) <=> ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20310,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0)))),
% 20.23/13.87 inference(monotonicity,[status(thm)],[20309])).
% 20.23/13.87 tff(20311,plain,
% 20.23/13.87 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 20.23/13.87 inference(transitivity,[status(thm)],[20310, 20308])).
% 20.23/13.87 tff(20312,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))),
% 20.23/13.87 inference(quant_inst,[status(thm)],[])).
% 20.23/13.87 tff(20313,plain,
% 20.23/13.87 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0)),
% 20.23/13.87 inference(modus_ponens,[status(thm)],[20312, 20311])).
% 20.23/13.87 tff(20314,plain,
% 20.23/13.87 ((~v121(constB167, bitIndex0)) | v124(constB167, bitIndex0)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20313, 885, 20123])).
% 20.23/13.87 tff(20315,plain,
% 20.23/13.87 (~v121(constB167, bitIndex0)),
% 20.23/13.87 inference(unit_resolution,[status(thm)],[20314, 20307])).
% 20.23/13.87 tff(20316,plain,
% 20.23/13.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))),
% 20.23/13.87 inference(rewrite,[status(thm)],[])).
% 20.23/13.87 tff(20317,plain,
% 20.23/13.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20318,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 20.23/13.88 tff(20319,plain,
% 20.23/13.88 (v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20318, 903, 20138])).
% 20.23/13.88 tff(20320,plain,
% 20.23/13.88 (~v123(constB168, bitIndex0)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20319, 20315])).
% 20.23/13.88 tff(20321,plain,
% 20.23/13.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20322,plain,
% 20.23/13.88 (((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0)) <=> ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20323,plain,
% 20.23/13.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168))))),
% 20.23/13.88 inference(monotonicity,[status(thm)],[20322])).
% 20.23/13.88 tff(20324,plain,
% 20.23/13.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 20.23/13.88 inference(transitivity,[status(thm)],[20323, 20321])).
% 20.23/13.88 tff(20325,plain,
% 20.23/13.88 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20326,plain,
% 20.23/13.88 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20325, 20324])).
% 20.23/13.88 tff(20327,plain,
% 20.23/13.88 ((~v84(constB168, bitIndex0)) | (~v94(constB168))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20326, 918, 20320])).
% 20.23/13.88 tff(20328,plain,
% 20.23/13.88 (~v84(constB168, bitIndex0)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20327, 20172])).
% 20.23/13.88 tff(20329,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20330,plain,
% 20.23/13.88 (((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0))) <=> (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20331,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0))))),
% 20.23/13.88 inference(monotonicity,[status(thm)],[20330])).
% 20.23/13.88 tff(20332,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 20.23/13.88 inference(transitivity,[status(thm)],[20331, 20329])).
% 20.23/13.88 tff(20333,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20334,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20333, 20332])).
% 20.23/13.88 tff(20335,plain,
% 20.23/13.88 (v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20334, 163, 20200])).
% 20.23/13.88 tff(20336,plain,
% 20.23/13.88 (v84(constB168, bitIndex0) | (~v84(constB169, bitIndex0))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20335, 20212])).
% 20.23/13.88 tff(20337,plain,
% 20.23/13.88 (~v84(constB169, bitIndex0)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20336, 20328])).
% 20.23/13.88 tff(20338,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)) | v119(constB169))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)) | v119(constB169))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20339,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)) | v119(constB169))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20340,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)) | v119(constB169)),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20339, 20338])).
% 20.23/13.88 tff(20341,plain,
% 20.23/13.88 (v119(constB169)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20340, 1894, 20337, 20221, 20256])).
% 20.23/13.88 tff(20342,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB169) | (~v119(constB169)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB169) | (~v119(constB169)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20343,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB169) | (~v119(constB169)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20344,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB169) | (~v119(constB169))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20343, 20342])).
% 20.23/13.88 tff(20345,plain,
% 20.23/13.88 (v107(constB169)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20344, 1905, 20341])).
% 20.23/13.88 tff(20346,assumption,(~v102(constB169)), introduced(assumption)).
% 20.23/13.88 tff(20347,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB169) | (~v106(constB169)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB169) | (~v106(constB169)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20348,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB169) | (~v106(constB169)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20349,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB169) | (~v106(constB169))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20348, 20347])).
% 20.23/13.88 tff(20350,plain,
% 20.23/13.88 (~v106(constB169)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20349, 276, 20346])).
% 20.23/13.88 tff(20351,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB169) | (~v26(constB169)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB169) | (~v26(constB169)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20352,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB169) | (~v26(constB169)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20353,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB169) | (~v26(constB169))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20352, 20351])).
% 20.23/13.88 tff(20354,plain,
% 20.23/13.88 (~v26(constB169)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20353, 670, 20346])).
% 20.23/13.88 tff(20355,assumption,(v107(constB169)), introduced(assumption)).
% 20.23/13.88 tff(20356,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB169) | (~v107(constB169)) | v106(constB169))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB169) | (~v107(constB169)) | v106(constB169))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20357,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB169) | (~v107(constB169)) | v106(constB169))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20358,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB169) | (~v107(constB169)) | v106(constB169)),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20357, 20356])).
% 20.23/13.88 tff(20359,plain,
% 20.23/13.88 (v26(constB169) | v106(constB169)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20358, 264, 20355])).
% 20.23/13.88 tff(20360,plain,
% 20.23/13.88 ($false),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20359, 20354, 20350])).
% 20.23/13.88 tff(20361,plain,(v102(constB169) | (~v107(constB169))), inference(lemma,lemma(discharge,[]))).
% 20.23/13.88 tff(20362,plain,
% 20.23/13.88 (v102(constB169)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20361, 20345])).
% 20.23/13.88 tff(20363,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20364,plain,
% 20.23/13.88 (((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170)) <=> ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20365,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169))))),
% 20.23/13.88 inference(monotonicity,[status(thm)],[20364])).
% 20.23/13.88 tff(20366,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 20.23/13.88 inference(transitivity,[status(thm)],[20365, 20363])).
% 20.23/13.88 tff(20367,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20368,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20367, 20366])).
% 20.23/13.88 tff(20369,plain,
% 20.23/13.88 (v104(constB170) | (~v102(constB169))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20368, 293, 20298])).
% 20.23/13.88 tff(20370,plain,
% 20.23/13.88 (v104(constB170)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20369, 20362])).
% 20.23/13.88 tff(20371,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20372,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20373,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20372, 20371])).
% 20.23/13.88 tff(20374,plain,
% 20.23/13.88 (~v98(constB170)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20373, 311, 20298, 20197])).
% 20.23/13.88 tff(20375,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20376,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20377,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB169, constB170)) | v96(constB170) | v98(constB170)),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20376, 20375])).
% 20.23/13.88 tff(20378,plain,
% 20.23/13.88 (v96(constB170) | v98(constB170)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20377, 325, 20298])).
% 20.23/13.88 tff(20379,plain,
% 20.23/13.88 (v96(constB170)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20378, 20374])).
% 20.23/13.88 tff(20380,plain,
% 20.23/13.88 (v1(constB170) <=> v1(constB170)),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20381,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 20.23/13.88 tff(20382,plain,
% 20.23/13.88 (v1(constB170)),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20381, 20380])).
% 20.23/13.88 tff(20383,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20384,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20385,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20384, 20383])).
% 20.23/13.88 tff(20386,plain,
% 20.23/13.88 (v95(constB170) | (~v96(constB170))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20385, 343, 20298, 20382])).
% 20.23/13.88 tff(20387,plain,
% 20.23/13.88 (v95(constB170)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20386, 20379])).
% 20.23/13.88 tff(20388,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20389,plain,
% 20.23/13.88 (((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170)) <=> ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20390,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170))))),
% 20.23/13.88 inference(monotonicity,[status(thm)],[20389])).
% 20.23/13.88 tff(20391,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 20.23/13.88 inference(transitivity,[status(thm)],[20390, 20388])).
% 20.23/13.88 tff(20392,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20393,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20392, 20391])).
% 20.23/13.88 tff(20394,plain,
% 20.23/13.88 (v94(constB170) | (~v95(constB170)) | (~v104(constB170))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20393, 358, 20298])).
% 20.23/13.88 tff(20395,plain,
% 20.23/13.88 (v94(constB170) | (~v104(constB170))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20394, 20387])).
% 20.23/13.88 tff(20396,plain,
% 20.23/13.88 (v94(constB170)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20395, 20370])).
% 20.23/13.88 tff(20397,plain,
% 20.23/13.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20398,plain,
% 20.23/13.88 (((~v84(constB170, bitIndex2)) | (~v94(constB170)) | v123(constB170, bitIndex2)) <=> ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20399,plain,
% 20.23/13.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | (~v94(constB170)) | v123(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170))))),
% 20.23/13.88 inference(monotonicity,[status(thm)],[20398])).
% 20.23/13.88 tff(20400,plain,
% 20.23/13.88 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | (~v94(constB170)) | v123(constB170, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 20.23/13.88 inference(transitivity,[status(thm)],[20399, 20397])).
% 20.23/13.88 tff(20401,plain,
% 20.23/13.88 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB170, bitIndex2)) | (~v94(constB170)) | v123(constB170, bitIndex2))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20402,plain,
% 20.23/13.88 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20401, 20400])).
% 20.23/13.88 tff(20403,plain,
% 20.23/13.88 (~v84(constB170, bitIndex2)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20402, 424, 20396, 20303])).
% 20.23/13.88 tff(20404,plain,
% 20.23/13.88 ((~v1(constB171)) <=> (~v1(constB171))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20405,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 20.23/13.88 tff(20406,plain,
% 20.23/13.88 (~v1(constB171)),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20405, 20404])).
% 20.23/13.88 tff(20407,plain,
% 20.23/13.88 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20408,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 20.23/13.88 tff(20409,plain,
% 20.23/13.88 (nextState(constB170, constB171)),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20408, 20407])).
% 20.23/13.88 tff(20410,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20411,plain,
% 20.23/13.88 (((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20412,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171))))),
% 20.23/13.88 inference(monotonicity,[status(thm)],[20411])).
% 20.23/13.88 tff(20413,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 20.23/13.88 inference(transitivity,[status(thm)],[20412, 20410])).
% 20.23/13.88 tff(20414,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20415,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20414, 20413])).
% 20.23/13.88 tff(20416,plain,
% 20.23/13.88 (~v95(constB171)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20415, 89, 20409, 20406])).
% 20.23/13.88 tff(20417,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20418,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20419,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20418, 20417])).
% 20.23/13.88 tff(20420,plain,
% 20.23/13.88 (v95(constB171) | (~v94(constB171))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20419, 106, 20409])).
% 20.23/13.88 tff(20421,plain,
% 20.23/13.88 (~v94(constB171)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20420, 20416])).
% 20.23/13.88 tff(20422,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20423,plain,
% 20.23/13.88 (((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2))) <=> (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20424,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2))))),
% 20.23/13.88 inference(monotonicity,[status(thm)],[20423])).
% 20.23/13.88 tff(20425,plain,
% 20.23/13.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 20.23/13.88 inference(transitivity,[status(thm)],[20424, 20422])).
% 20.23/13.88 tff(20426,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20427,plain,
% 20.23/13.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 20.23/13.88 tff(20428,plain,
% 20.23/13.88 (v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20427, 121, 20409])).
% 20.23/13.88 tff(20429,plain,
% 20.23/13.88 (v84(constB170, bitIndex2) | (~v84(constB171, bitIndex2))),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20428, 20421])).
% 20.23/13.88 tff(20430,plain,
% 20.23/13.88 (~v84(constB171, bitIndex2)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20429, 20403])).
% 20.23/13.88 tff(20431,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex1)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20432,plain,
% 20.23/13.88 ((v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex1))) <=> (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex1)))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20433,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex1))))),
% 20.23/13.88 inference(monotonicity,[status(thm)],[20432])).
% 20.23/13.88 tff(20434,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex1)))),
% 20.23/13.88 inference(transitivity,[status(thm)],[20433, 20431])).
% 20.23/13.88 tff(20435,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex1)))),
% 20.23/13.88 inference(quant_inst,[status(thm)],[])).
% 20.23/13.88 tff(20436,plain,
% 20.23/13.88 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | (~v124(constB169, bitIndex1))),
% 20.23/13.88 inference(modus_ponens,[status(thm)],[20435, 20434])).
% 20.23/13.88 tff(20437,plain,
% 20.23/13.88 (~v124(constB169, bitIndex1)),
% 20.23/13.88 inference(unit_resolution,[status(thm)],[20436, 2102, 20276, 20272, 20268, 20264, 20260, 20225])).
% 20.23/13.88 tff(20438,plain,
% 20.23/13.88 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.88 tff(20439,plain,
% 20.23/13.88 ((v26(constB169) | v124(constB169, bitIndex1) | (~v121(constB169, bitIndex1))) <=> ((~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1))),
% 20.23/13.88 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20440,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB169) | v124(constB169, bitIndex1) | (~v121(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1)))),
% 20.23/13.89 inference(monotonicity,[status(thm)],[20439])).
% 20.23/13.89 tff(20441,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB169) | v124(constB169, bitIndex1) | (~v121(constB169, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1))),
% 20.23/13.89 inference(transitivity,[status(thm)],[20440, 20438])).
% 20.23/13.89 tff(20442,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB169) | v124(constB169, bitIndex1) | (~v121(constB169, bitIndex1)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20443,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20442, 20441])).
% 20.23/13.89 tff(20444,plain,
% 20.23/13.89 ((~v121(constB169, bitIndex1)) | v124(constB169, bitIndex1)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20443, 483, 20287])).
% 20.23/13.89 tff(20445,plain,
% 20.23/13.89 (~v121(constB169, bitIndex1)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20444, 20437])).
% 20.23/13.89 tff(20446,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20447,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20448,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20447, 20446])).
% 20.23/13.89 tff(20449,plain,
% 20.23/13.89 (v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1))),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20448, 501, 20298])).
% 20.23/13.89 tff(20450,plain,
% 20.23/13.89 (~v123(constB170, bitIndex1)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20449, 20445])).
% 20.23/13.89 tff(20451,plain,
% 20.23/13.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20452,plain,
% 20.23/13.89 (((~v84(constB170, bitIndex1)) | (~v94(constB170)) | v123(constB170, bitIndex1)) <=> ((~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20453,plain,
% 20.23/13.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~v94(constB170)) | v123(constB170, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170))))),
% 20.23/13.89 inference(monotonicity,[status(thm)],[20452])).
% 20.23/13.89 tff(20454,plain,
% 20.23/13.89 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~v94(constB170)) | v123(constB170, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170)))),
% 20.23/13.89 inference(transitivity,[status(thm)],[20453, 20451])).
% 20.23/13.89 tff(20455,plain,
% 20.23/13.89 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~v94(constB170)) | v123(constB170, bitIndex1))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20456,plain,
% 20.23/13.89 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20455, 20454])).
% 20.23/13.89 tff(20457,plain,
% 20.23/13.89 (~v84(constB170, bitIndex1)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20456, 516, 20396, 20450])).
% 20.23/13.89 tff(20458,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20459,plain,
% 20.23/13.89 (((~nextState(constB170, constB171)) | v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1))) <=> (v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20460,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1))))),
% 20.23/13.89 inference(monotonicity,[status(thm)],[20459])).
% 20.23/13.89 tff(20461,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1)))),
% 20.23/13.89 inference(transitivity,[status(thm)],[20460, 20458])).
% 20.23/13.89 tff(20462,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20463,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20462, 20461])).
% 20.23/13.89 tff(20464,plain,
% 20.23/13.89 (v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1))),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20463, 142, 20409])).
% 20.23/13.89 tff(20465,plain,
% 20.23/13.89 (v84(constB170, bitIndex1) | (~v84(constB171, bitIndex1))),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20464, 20421])).
% 20.23/13.89 tff(20466,plain,
% 20.23/13.89 (~v84(constB171, bitIndex1)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20465, 20457])).
% 20.23/13.89 tff(20467,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | v124(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | v124(constB169, bitIndex0))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20468,plain,
% 20.23/13.89 ((v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | v124(constB169, bitIndex0)) <=> (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | v124(constB169, bitIndex0))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20469,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | v124(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | v124(constB169, bitIndex0)))),
% 20.23/13.89 inference(monotonicity,[status(thm)],[20468])).
% 20.23/13.89 tff(20470,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | v124(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | v124(constB169, bitIndex0))),
% 20.23/13.89 inference(transitivity,[status(thm)],[20469, 20467])).
% 20.23/13.89 tff(20471,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | v124(constB169, bitIndex0))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20472,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v115(constB169) | v113(constB169) | v124(constB169, bitIndex0)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20471, 20470])).
% 20.23/13.89 tff(20473,plain,
% 20.23/13.89 (v124(constB169, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20472, 2149, 20276, 20272, 20268, 20264, 20260, 20225])).
% 20.23/13.89 tff(20474,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20475,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20476,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20475, 20474])).
% 20.23/13.89 tff(20477,plain,
% 20.23/13.89 ((~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20476, 557, 20287])).
% 20.23/13.89 tff(20478,plain,
% 20.23/13.89 (v121(constB169, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20477, 20473])).
% 20.23/13.89 tff(20479,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20480,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20481,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 20.23/13.89 tff(20482,plain,
% 20.23/13.89 ((~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20481, 572, 20298])).
% 20.23/13.89 tff(20483,plain,
% 20.23/13.89 (v123(constB170, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20482, 20478])).
% 20.23/13.89 tff(20484,plain,
% 20.23/13.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20485,plain,
% 20.23/13.89 ((v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0))) <=> (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20486,plain,
% 20.23/13.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170))))),
% 20.23/13.89 inference(monotonicity,[status(thm)],[20485])).
% 20.23/13.89 tff(20487,plain,
% 20.23/13.89 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 20.23/13.89 inference(transitivity,[status(thm)],[20486, 20484])).
% 20.23/13.89 tff(20488,plain,
% 20.23/13.89 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20489,plain,
% 20.23/13.89 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 20.23/13.89 tff(20490,plain,
% 20.23/13.89 (v84(constB170, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20489, 587, 20396, 20483])).
% 20.23/13.89 tff(20491,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20492,plain,
% 20.23/13.89 (((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0)) <=> ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20493,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0)))),
% 20.23/13.89 inference(monotonicity,[status(thm)],[20492])).
% 20.23/13.89 tff(20494,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 20.23/13.89 inference(transitivity,[status(thm)],[20493, 20491])).
% 20.23/13.89 tff(20495,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20496,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20495, 20494])).
% 20.23/13.89 tff(20497,plain,
% 20.23/13.89 ((~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20496, 605, 20409])).
% 20.23/13.89 tff(20498,plain,
% 20.23/13.89 ((~v84(constB170, bitIndex0)) | v84(constB171, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20497, 20421])).
% 20.23/13.89 tff(20499,plain,
% 20.23/13.89 (v84(constB171, bitIndex0)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20498, 20490])).
% 20.23/13.89 tff(20500,plain,
% 20.23/13.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB171, bitIndex0)) | v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | v145(constB171))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB171, bitIndex0)) | v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | v145(constB171))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20501,plain,
% 20.23/13.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB171, bitIndex0)) | v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | v145(constB171))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20502,plain,
% 20.23/13.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB171, bitIndex0)) | v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | v145(constB171)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20501, 20500])).
% 20.23/13.89 tff(20503,plain,
% 20.23/13.89 (v145(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20502, 624, 20499, 20466, 20430])).
% 20.23/13.89 tff(20504,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB171) | (~v145(constB171)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB171) | (~v145(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20505,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB171) | (~v145(constB171)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20506,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB171) | (~v145(constB171))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20505, 20504])).
% 20.23/13.89 tff(20507,plain,
% 20.23/13.89 (v112(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20506, 681, 20503])).
% 20.23/13.89 tff(20508,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB171) | (~v112(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20509,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB171) | (~v112(constB171)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20510,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB171) | (~v112(constB171))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20509, 20508])).
% 20.23/13.89 tff(20511,plain,
% 20.23/13.89 (v111(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20510, 206, 20507])).
% 20.23/13.89 tff(20512,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB171) | (~v111(constB171)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB171) | (~v111(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20513,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB171) | (~v111(constB171)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20514,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB171) | (~v111(constB171))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20513, 20512])).
% 20.23/13.89 tff(20515,plain,
% 20.23/13.89 (v110(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20514, 217, 20511])).
% 20.23/13.89 tff(20516,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB171) | (~v110(constB171)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB171) | (~v110(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20517,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB171) | (~v110(constB171)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20518,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB171) | (~v110(constB171))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 20.23/13.89 tff(20519,plain,
% 20.23/13.89 (v109(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20518, 228, 20515])).
% 20.23/13.89 tff(20520,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB171) | (~v109(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB171) | (~v109(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20521,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB171) | (~v109(constB171)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20522,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB171) | (~v109(constB171))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20521, 20520])).
% 20.23/13.89 tff(20523,plain,
% 20.23/13.89 (v108(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20522, 239, 20519])).
% 20.23/13.89 tff(20524,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB171) | (~v108(constB171)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB171) | (~v108(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20525,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB171) | (~v108(constB171)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20526,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB171) | (~v108(constB171))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 20.23/13.89 tff(20527,plain,
% 20.23/13.89 (v107(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20526, 250, 20523])).
% 20.23/13.89 tff(20528,assumption,(v26(constB171)), introduced(assumption)).
% 20.23/13.89 tff(20529,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20530,plain,
% 20.23/13.89 ($false),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20529, 18, 20528])).
% 20.23/13.89 tff(20531,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.89 tff(20532,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | (~v107(constB171)) | v106(constB171))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20533,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20534,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | (~v107(constB171)) | v106(constB171)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20533, 20532])).
% 20.23/13.89 tff(20535,plain,
% 20.23/13.89 ((~v107(constB171)) | v106(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20534, 264, 20531])).
% 20.23/13.89 tff(20536,plain,
% 20.23/13.89 (v106(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20535, 20527])).
% 20.23/13.89 tff(20537,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB171) | (~v106(constB171)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB171) | (~v106(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20538,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB171) | (~v106(constB171)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20539,plain,
% 20.23/13.89 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB171) | (~v106(constB171))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20538, 20537])).
% 20.23/13.89 tff(20540,plain,
% 20.23/13.89 (v102(constB171)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20539, 276, 20536])).
% 20.23/13.89 tff(20541,plain,
% 20.23/13.89 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20542,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 20.23/13.89 tff(20543,plain,
% 20.23/13.89 (nextState(constB171, constB172)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20542, 20541])).
% 20.23/13.89 tff(20544,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20545,plain,
% 20.23/13.89 (((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172)) <=> ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20546,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171))))),
% 20.23/13.89 inference(monotonicity,[status(thm)],[20545])).
% 20.23/13.89 tff(20547,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 20.23/13.89 inference(transitivity,[status(thm)],[20546, 20544])).
% 20.23/13.89 tff(20548,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20549,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20548, 20547])).
% 20.23/13.89 tff(20550,plain,
% 20.23/13.89 (v104(constB172) | (~v102(constB171))),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20549, 293, 20543])).
% 20.23/13.89 tff(20551,plain,
% 20.23/13.89 (v104(constB172)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20550, 20540])).
% 20.23/13.89 tff(20552,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20553,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20554,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20553, 20552])).
% 20.23/13.89 tff(20555,plain,
% 20.23/13.89 (~v98(constB172)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20554, 311, 20543, 20406])).
% 20.23/13.89 tff(20556,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20557,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20558,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB171, constB172)) | v96(constB172) | v98(constB172)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20557, 20556])).
% 20.23/13.89 tff(20559,plain,
% 20.23/13.89 (v96(constB172) | v98(constB172)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20558, 325, 20543])).
% 20.23/13.89 tff(20560,plain,
% 20.23/13.89 (v96(constB172)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20559, 20555])).
% 20.23/13.89 tff(20561,plain,
% 20.23/13.89 (v1(constB172) <=> v1(constB172)),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20562,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 20.23/13.89 tff(20563,plain,
% 20.23/13.89 (v1(constB172)),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20562, 20561])).
% 20.23/13.89 tff(20564,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20565,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20566,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20565, 20564])).
% 20.23/13.89 tff(20567,plain,
% 20.23/13.89 (v95(constB172) | (~v96(constB172))),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20566, 343, 20543, 20563])).
% 20.23/13.89 tff(20568,plain,
% 20.23/13.89 (v95(constB172)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20567, 20560])).
% 20.23/13.89 tff(20569,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20570,plain,
% 20.23/13.89 (((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172)) <=> ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20571,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172))))),
% 20.23/13.89 inference(monotonicity,[status(thm)],[20570])).
% 20.23/13.89 tff(20572,plain,
% 20.23/13.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 20.23/13.89 inference(transitivity,[status(thm)],[20571, 20569])).
% 20.23/13.89 tff(20573,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20574,plain,
% 20.23/13.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20573, 20572])).
% 20.23/13.89 tff(20575,plain,
% 20.23/13.89 (v94(constB172) | (~v95(constB172)) | (~v104(constB172))),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20574, 358, 20543])).
% 20.23/13.89 tff(20576,plain,
% 20.23/13.89 (v94(constB172) | (~v104(constB172))),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20575, 20568])).
% 20.23/13.89 tff(20577,plain,
% 20.23/13.89 (v94(constB172)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20576, 20551])).
% 20.23/13.89 tff(20578,plain,
% 20.23/13.89 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB171)) | (~v124(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB171)) | (~v124(constB171, bitIndex2)))),
% 20.23/13.89 inference(rewrite,[status(thm)],[])).
% 20.23/13.89 tff(20579,plain,
% 20.23/13.89 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB171)) | (~v124(constB171, bitIndex2)))),
% 20.23/13.89 inference(quant_inst,[status(thm)],[])).
% 20.23/13.89 tff(20580,plain,
% 20.23/13.89 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB171)) | (~v124(constB171, bitIndex2))),
% 20.23/13.89 inference(modus_ponens,[status(thm)],[20579, 20578])).
% 20.23/13.89 tff(20581,plain,
% 20.23/13.89 (~v124(constB171, bitIndex2)),
% 20.23/13.89 inference(unit_resolution,[status(thm)],[20580, 638, 20503])).
% 20.23/13.89 tff(20582,plain,
% 20.23/13.89 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20583,plain,
% 20.23/13.90 ((v26(constB171) | v124(constB171, bitIndex2) | (~v121(constB171, bitIndex2))) <=> ((~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20584,plain,
% 20.23/13.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB171) | v124(constB171, bitIndex2) | (~v121(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2)))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20583])).
% 20.23/13.90 tff(20585,plain,
% 20.23/13.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB171) | v124(constB171, bitIndex2) | (~v121(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20584, 20582])).
% 20.23/13.90 tff(20586,plain,
% 20.23/13.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB171) | v124(constB171, bitIndex2) | (~v121(constB171, bitIndex2)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20587,plain,
% 20.23/13.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20586, 20585])).
% 20.23/13.90 tff(20588,plain,
% 20.23/13.90 ((~v121(constB171, bitIndex2)) | v124(constB171, bitIndex2)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20587, 391, 20531])).
% 20.23/13.90 tff(20589,plain,
% 20.23/13.90 (~v121(constB171, bitIndex2)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20588, 20581])).
% 20.23/13.90 tff(20590,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20591,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20592,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20591, 20590])).
% 20.23/13.90 tff(20593,plain,
% 20.23/13.90 (v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20592, 409, 20543])).
% 20.23/13.90 tff(20594,plain,
% 20.23/13.90 (~v123(constB172, bitIndex2)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20593, 20589])).
% 20.23/13.90 tff(20595,plain,
% 20.23/13.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20596,plain,
% 20.23/13.90 (((~v84(constB172, bitIndex2)) | (~v94(constB172)) | v123(constB172, bitIndex2)) <=> ((~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20597,plain,
% 20.23/13.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~v94(constB172)) | v123(constB172, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172))))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20596])).
% 20.23/13.90 tff(20598,plain,
% 20.23/13.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~v94(constB172)) | v123(constB172, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172)))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20597, 20595])).
% 20.23/13.90 tff(20599,plain,
% 20.23/13.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~v94(constB172)) | v123(constB172, bitIndex2))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20600,plain,
% 20.23/13.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20599, 20598])).
% 20.23/13.90 tff(20601,plain,
% 20.23/13.90 ((~v84(constB172, bitIndex2)) | (~v94(constB172))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20600, 424, 20594])).
% 20.23/13.90 tff(20602,plain,
% 20.23/13.90 (~v84(constB172, bitIndex2)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20601, 20577])).
% 20.23/13.90 tff(20603,plain,
% 20.23/13.90 ((~v1(constB173)) <=> (~v1(constB173))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20604,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 20.23/13.90 tff(20605,plain,
% 20.23/13.90 (~v1(constB173)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20604, 20603])).
% 20.23/13.90 tff(20606,plain,
% 20.23/13.90 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20607,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 20.23/13.90 tff(20608,plain,
% 20.23/13.90 (nextState(constB172, constB173)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20607, 20606])).
% 20.23/13.90 tff(20609,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20610,plain,
% 20.23/13.90 (((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20611,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173))))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20610])).
% 20.23/13.90 tff(20612,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20611, 20609])).
% 20.23/13.90 tff(20613,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20614,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20613, 20612])).
% 20.23/13.90 tff(20615,plain,
% 20.23/13.90 (~v95(constB173)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20614, 89, 20608, 20605])).
% 20.23/13.90 tff(20616,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20617,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20618,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20617, 20616])).
% 20.23/13.90 tff(20619,plain,
% 20.23/13.90 (v95(constB173) | (~v94(constB173))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20618, 106, 20608])).
% 20.23/13.90 tff(20620,plain,
% 20.23/13.90 (~v94(constB173)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20619, 20615])).
% 20.23/13.90 tff(20621,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20622,plain,
% 20.23/13.90 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2))) <=> (v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20623,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2))))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20622])).
% 20.23/13.90 tff(20624,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2)))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20623, 20621])).
% 20.23/13.90 tff(20625,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20626,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20625, 20624])).
% 20.23/13.90 tff(20627,plain,
% 20.23/13.90 (v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20626, 121, 20608])).
% 20.23/13.90 tff(20628,plain,
% 20.23/13.90 (v84(constB172, bitIndex2) | (~v84(constB173, bitIndex2))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20627, 20620])).
% 20.23/13.90 tff(20629,plain,
% 20.23/13.90 (~v84(constB173, bitIndex2)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20628, 20602])).
% 20.23/13.90 tff(20630,plain,
% 20.23/13.90 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB171)) | v124(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB171)) | v124(constB171, bitIndex1))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20631,plain,
% 20.23/13.90 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB171)) | v124(constB171, bitIndex1))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20632,plain,
% 20.23/13.90 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB171)) | v124(constB171, bitIndex1)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20631, 20630])).
% 20.23/13.90 tff(20633,plain,
% 20.23/13.90 (v124(constB171, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20632, 790, 20503])).
% 20.23/13.90 tff(20634,plain,
% 20.23/13.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB171) | (~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB171) | (~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20635,plain,
% 20.23/13.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB171) | (~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20636,plain,
% 20.23/13.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB171) | (~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20635, 20634])).
% 20.23/13.90 tff(20637,plain,
% 20.23/13.90 ((~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20636, 804, 20531])).
% 20.23/13.90 tff(20638,plain,
% 20.23/13.90 (v121(constB171, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20637, 20633])).
% 20.23/13.90 tff(20639,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20640,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20641,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20640, 20639])).
% 20.23/13.90 tff(20642,plain,
% 20.23/13.90 ((~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20641, 819, 20543])).
% 20.23/13.90 tff(20643,plain,
% 20.23/13.90 (v123(constB172, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20642, 20638])).
% 20.23/13.90 tff(20644,plain,
% 20.23/13.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20645,plain,
% 20.23/13.90 ((v84(constB172, bitIndex1) | (~v94(constB172)) | (~v123(constB172, bitIndex1))) <=> (v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20646,plain,
% 20.23/13.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v94(constB172)) | (~v123(constB172, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172))))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20645])).
% 20.23/13.90 tff(20647,plain,
% 20.23/13.90 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v94(constB172)) | (~v123(constB172, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172)))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20646, 20644])).
% 20.23/13.90 tff(20648,plain,
% 20.23/13.90 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v94(constB172)) | (~v123(constB172, bitIndex1)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20649,plain,
% 20.23/13.90 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20648, 20647])).
% 20.23/13.90 tff(20650,plain,
% 20.23/13.90 (v84(constB172, bitIndex1) | (~v94(constB172))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20649, 834, 20643])).
% 20.23/13.90 tff(20651,plain,
% 20.23/13.90 (v84(constB172, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20650, 20577])).
% 20.23/13.90 tff(20652,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20653,plain,
% 20.23/13.90 (((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1)) <=> ((~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20654,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1)))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20653])).
% 20.23/13.90 tff(20655,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20654, 20652])).
% 20.23/13.90 tff(20656,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20657,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20656, 20655])).
% 20.23/13.90 tff(20658,plain,
% 20.23/13.90 ((~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20657, 852, 20608])).
% 20.23/13.90 tff(20659,plain,
% 20.23/13.90 ((~v84(constB172, bitIndex1)) | v84(constB173, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20658, 20620])).
% 20.23/13.90 tff(20660,plain,
% 20.23/13.90 (v84(constB173, bitIndex1)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20659, 20651])).
% 20.23/13.90 tff(20661,plain,
% 20.23/13.90 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB171)) | (~v124(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB171)) | (~v124(constB171, bitIndex0)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20662,plain,
% 20.23/13.90 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB171)) | (~v124(constB171, bitIndex0)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20663,plain,
% 20.23/13.90 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB171)) | (~v124(constB171, bitIndex0))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20662, 20661])).
% 20.23/13.90 tff(20664,plain,
% 20.23/13.90 (~v124(constB171, bitIndex0)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20663, 871, 20503])).
% 20.23/13.90 tff(20665,plain,
% 20.23/13.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20666,plain,
% 20.23/13.90 ((v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0))) <=> ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20667,plain,
% 20.23/13.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0)))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20666])).
% 20.23/13.90 tff(20668,plain,
% 20.23/13.90 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20667, 20665])).
% 20.23/13.90 tff(20669,plain,
% 20.23/13.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20670,plain,
% 20.23/13.90 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20669, 20668])).
% 20.23/13.90 tff(20671,plain,
% 20.23/13.90 ((~v121(constB171, bitIndex0)) | v124(constB171, bitIndex0)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20670, 885, 20531])).
% 20.23/13.90 tff(20672,plain,
% 20.23/13.90 (~v121(constB171, bitIndex0)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20671, 20664])).
% 20.23/13.90 tff(20673,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20674,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20675,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 20.23/13.90 tff(20676,plain,
% 20.23/13.90 (v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20675, 903, 20543])).
% 20.23/13.90 tff(20677,plain,
% 20.23/13.90 (~v123(constB172, bitIndex0)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20676, 20672])).
% 20.23/13.90 tff(20678,plain,
% 20.23/13.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20679,plain,
% 20.23/13.90 (((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0)) <=> ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20680,plain,
% 20.23/13.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172))))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20679])).
% 20.23/13.90 tff(20681,plain,
% 20.23/13.90 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20680, 20678])).
% 20.23/13.90 tff(20682,plain,
% 20.23/13.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20683,plain,
% 20.23/13.90 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20682, 20681])).
% 20.23/13.90 tff(20684,plain,
% 20.23/13.90 ((~v84(constB172, bitIndex0)) | (~v94(constB172))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20683, 918, 20677])).
% 20.23/13.90 tff(20685,plain,
% 20.23/13.90 (~v84(constB172, bitIndex0)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20684, 20577])).
% 20.23/13.90 tff(20686,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20687,plain,
% 20.23/13.90 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0))) <=> (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20688,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0))))),
% 20.23/13.90 inference(monotonicity,[status(thm)],[20687])).
% 20.23/13.90 tff(20689,plain,
% 20.23/13.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 20.23/13.90 inference(transitivity,[status(thm)],[20688, 20686])).
% 20.23/13.90 tff(20690,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20691,plain,
% 20.23/13.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0))),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20690, 20689])).
% 20.23/13.90 tff(20692,plain,
% 20.23/13.90 (v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20691, 163, 20608])).
% 20.23/13.90 tff(20693,plain,
% 20.23/13.90 (v84(constB172, bitIndex0) | (~v84(constB173, bitIndex0))),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20692, 20620])).
% 20.23/13.90 tff(20694,plain,
% 20.23/13.90 (~v84(constB173, bitIndex0)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20693, 20685])).
% 20.23/13.90 tff(20695,plain,
% 20.23/13.90 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB173, bitIndex0) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex2) | v115(constB173))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB173, bitIndex0) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex2) | v115(constB173))),
% 20.23/13.90 inference(rewrite,[status(thm)],[])).
% 20.23/13.90 tff(20696,plain,
% 20.23/13.90 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB173, bitIndex0) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex2) | v115(constB173))),
% 20.23/13.90 inference(quant_inst,[status(thm)],[])).
% 20.23/13.90 tff(20697,plain,
% 20.23/13.90 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB173, bitIndex0) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex2) | v115(constB173)),
% 20.23/13.90 inference(modus_ponens,[status(thm)],[20696, 20695])).
% 20.23/13.90 tff(20698,plain,
% 20.23/13.90 (v115(constB173)),
% 20.23/13.90 inference(unit_resolution,[status(thm)],[20697, 945, 20694, 20660, 20629])).
% 20.23/13.91 tff(20699,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB173) | (~v115(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20700,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB173) | (~v115(constB173)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20701,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB173) | (~v115(constB173))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20700, 20699])).
% 20.23/13.91 tff(20702,plain,
% 20.23/13.91 (v111(constB173)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20701, 956, 20698])).
% 20.23/13.91 tff(20703,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB173) | (~v111(constB173)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB173) | (~v111(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20704,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB173) | (~v111(constB173)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20705,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB173) | (~v111(constB173))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 20.23/13.91 tff(20706,plain,
% 20.23/13.91 (v110(constB173)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20705, 217, 20702])).
% 20.23/13.91 tff(20707,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB173) | (~v110(constB173)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB173) | (~v110(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20708,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB173) | (~v110(constB173)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20709,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB173) | (~v110(constB173))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20708, 20707])).
% 20.23/13.91 tff(20710,plain,
% 20.23/13.91 (v109(constB173)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20709, 228, 20706])).
% 20.23/13.91 tff(20711,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB173) | (~v109(constB173)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB173) | (~v109(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20712,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB173) | (~v109(constB173)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20713,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB173) | (~v109(constB173))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 20.23/13.91 tff(20714,plain,
% 20.23/13.91 (v108(constB173)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20713, 239, 20710])).
% 20.23/13.91 tff(20715,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB173) | (~v108(constB173)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB173) | (~v108(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20716,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB173) | (~v108(constB173)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20717,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB173) | (~v108(constB173))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 20.23/13.91 tff(20718,plain,
% 20.23/13.91 (v107(constB173)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20717, 250, 20714])).
% 20.23/13.91 tff(20719,assumption,(v26(constB173)), introduced(assumption)).
% 20.23/13.91 tff(20720,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20721,plain,
% 20.23/13.91 ($false),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20720, 18, 20719])).
% 20.23/13.91 tff(20722,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 20.23/13.91 tff(20723,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | v106(constB173) | (~v107(constB173)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20724,plain,
% 20.23/13.91 ((v26(constB173) | (~v107(constB173)) | v106(constB173)) <=> (v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20725,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | v106(constB173) | (~v107(constB173))))),
% 20.23/13.91 inference(monotonicity,[status(thm)],[20724])).
% 20.23/13.91 tff(20726,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 20.23/13.91 inference(transitivity,[status(thm)],[20725, 20723])).
% 20.23/13.91 tff(20727,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20728,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20727, 20726])).
% 20.23/13.91 tff(20729,plain,
% 20.23/13.91 (v106(constB173) | (~v107(constB173))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20728, 264, 20722])).
% 20.23/13.91 tff(20730,plain,
% 20.23/13.91 (v106(constB173)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20729, 20718])).
% 20.23/13.91 tff(20731,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB173) | (~v106(constB173)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB173) | (~v106(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20732,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB173) | (~v106(constB173)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20733,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB173) | (~v106(constB173))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20732, 20731])).
% 20.23/13.91 tff(20734,plain,
% 20.23/13.91 (v102(constB173)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20733, 276, 20730])).
% 20.23/13.91 tff(20735,plain,
% 20.23/13.91 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20736,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 20.23/13.91 tff(20737,plain,
% 20.23/13.91 (nextState(constB173, constB174)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20736, 20735])).
% 20.23/13.91 tff(20738,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20739,plain,
% 20.23/13.91 (((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174)) <=> ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20740,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173))))),
% 20.23/13.91 inference(monotonicity,[status(thm)],[20739])).
% 20.23/13.91 tff(20741,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 20.23/13.91 inference(transitivity,[status(thm)],[20740, 20738])).
% 20.23/13.91 tff(20742,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20743,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20742, 20741])).
% 20.23/13.91 tff(20744,plain,
% 20.23/13.91 (v104(constB174) | (~v102(constB173))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20743, 293, 20737])).
% 20.23/13.91 tff(20745,plain,
% 20.23/13.91 (v104(constB174)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20744, 20734])).
% 20.23/13.91 tff(20746,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20747,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20748,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20747, 20746])).
% 20.23/13.91 tff(20749,plain,
% 20.23/13.91 (~v98(constB174)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20748, 311, 20737, 20605])).
% 20.23/13.91 tff(20750,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20751,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20752,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB173, constB174)) | v96(constB174) | v98(constB174)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20751, 20750])).
% 20.23/13.91 tff(20753,plain,
% 20.23/13.91 (v96(constB174) | v98(constB174)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20752, 325, 20737])).
% 20.23/13.91 tff(20754,plain,
% 20.23/13.91 (v96(constB174)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20753, 20749])).
% 20.23/13.91 tff(20755,plain,
% 20.23/13.91 (v1(constB174) <=> v1(constB174)),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20756,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 20.23/13.91 tff(20757,plain,
% 20.23/13.91 (v1(constB174)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20756, 20755])).
% 20.23/13.91 tff(20758,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20759,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20760,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20759, 20758])).
% 20.23/13.91 tff(20761,plain,
% 20.23/13.91 (v95(constB174) | (~v96(constB174))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20760, 343, 20737, 20757])).
% 20.23/13.91 tff(20762,plain,
% 20.23/13.91 (v95(constB174)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20761, 20754])).
% 20.23/13.91 tff(20763,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20764,plain,
% 20.23/13.91 (((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174)) <=> ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20765,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174))))),
% 20.23/13.91 inference(monotonicity,[status(thm)],[20764])).
% 20.23/13.91 tff(20766,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 20.23/13.91 inference(transitivity,[status(thm)],[20765, 20763])).
% 20.23/13.91 tff(20767,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20768,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20767, 20766])).
% 20.23/13.91 tff(20769,plain,
% 20.23/13.91 (v94(constB174) | (~v95(constB174)) | (~v104(constB174))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20768, 358, 20737])).
% 20.23/13.91 tff(20770,plain,
% 20.23/13.91 (v94(constB174) | (~v104(constB174))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20769, 20762])).
% 20.23/13.91 tff(20771,plain,
% 20.23/13.91 (v94(constB174)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20770, 20745])).
% 20.23/13.91 tff(20772,plain,
% 20.23/13.91 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB173)) | (~v124(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB173)) | (~v124(constB173, bitIndex2)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20773,plain,
% 20.23/13.91 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB173)) | (~v124(constB173, bitIndex2)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20774,plain,
% 20.23/13.91 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB173)) | (~v124(constB173, bitIndex2))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20773, 20772])).
% 20.23/13.91 tff(20775,plain,
% 20.23/13.91 (~v124(constB173, bitIndex2)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20774, 1032, 20698])).
% 20.23/13.91 tff(20776,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20777,plain,
% 20.23/13.91 ((v26(constB173) | v124(constB173, bitIndex2) | (~v121(constB173, bitIndex2))) <=> ((~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20778,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB173) | v124(constB173, bitIndex2) | (~v121(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2)))),
% 20.23/13.91 inference(monotonicity,[status(thm)],[20777])).
% 20.23/13.91 tff(20779,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB173) | v124(constB173, bitIndex2) | (~v121(constB173, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2))),
% 20.23/13.91 inference(transitivity,[status(thm)],[20778, 20776])).
% 20.23/13.91 tff(20780,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB173) | v124(constB173, bitIndex2) | (~v121(constB173, bitIndex2)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20781,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20780, 20779])).
% 20.23/13.91 tff(20782,plain,
% 20.23/13.91 ((~v121(constB173, bitIndex2)) | v124(constB173, bitIndex2)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20781, 391, 20722])).
% 20.23/13.91 tff(20783,plain,
% 20.23/13.91 (~v121(constB173, bitIndex2)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20782, 20775])).
% 20.23/13.91 tff(20784,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20785,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20786,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20785, 20784])).
% 20.23/13.91 tff(20787,plain,
% 20.23/13.91 (v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20786, 409, 20737])).
% 20.23/13.91 tff(20788,plain,
% 20.23/13.91 (~v123(constB174, bitIndex2)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20787, 20783])).
% 20.23/13.91 tff(20789,plain,
% 20.23/13.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20790,plain,
% 20.23/13.91 (((~v84(constB174, bitIndex2)) | (~v94(constB174)) | v123(constB174, bitIndex2)) <=> ((~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20791,plain,
% 20.23/13.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~v94(constB174)) | v123(constB174, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174))))),
% 20.23/13.91 inference(monotonicity,[status(thm)],[20790])).
% 20.23/13.91 tff(20792,plain,
% 20.23/13.91 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~v94(constB174)) | v123(constB174, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174)))),
% 20.23/13.91 inference(transitivity,[status(thm)],[20791, 20789])).
% 20.23/13.91 tff(20793,plain,
% 20.23/13.91 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~v94(constB174)) | v123(constB174, bitIndex2))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20794,plain,
% 20.23/13.91 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20793, 20792])).
% 20.23/13.91 tff(20795,plain,
% 20.23/13.91 ((~v84(constB174, bitIndex2)) | (~v94(constB174))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20794, 424, 20788])).
% 20.23/13.91 tff(20796,plain,
% 20.23/13.91 (~v84(constB174, bitIndex2)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20795, 20771])).
% 20.23/13.91 tff(20797,plain,
% 20.23/13.91 ((~v1(constB175)) <=> (~v1(constB175))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20798,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 20.23/13.91 tff(20799,plain,
% 20.23/13.91 (~v1(constB175)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20798, 20797])).
% 20.23/13.91 tff(20800,plain,
% 20.23/13.91 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20801,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 20.23/13.91 tff(20802,plain,
% 20.23/13.91 (nextState(constB174, constB175)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20801, 20800])).
% 20.23/13.91 tff(20803,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20804,plain,
% 20.23/13.91 (((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20805,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175))))),
% 20.23/13.91 inference(monotonicity,[status(thm)],[20804])).
% 20.23/13.91 tff(20806,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 20.23/13.91 inference(transitivity,[status(thm)],[20805, 20803])).
% 20.23/13.91 tff(20807,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20808,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20807, 20806])).
% 20.23/13.91 tff(20809,plain,
% 20.23/13.91 (~v95(constB175)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20808, 89, 20802, 20799])).
% 20.23/13.91 tff(20810,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20811,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20812,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20811, 20810])).
% 20.23/13.91 tff(20813,plain,
% 20.23/13.91 (v95(constB175) | (~v94(constB175))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20812, 106, 20802])).
% 20.23/13.91 tff(20814,plain,
% 20.23/13.91 (~v94(constB175)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20813, 20809])).
% 20.23/13.91 tff(20815,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20816,plain,
% 20.23/13.91 (((~nextState(constB174, constB175)) | v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2))) <=> (v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2)))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20817,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2))))),
% 20.23/13.91 inference(monotonicity,[status(thm)],[20816])).
% 20.23/13.91 tff(20818,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2)))),
% 20.23/13.91 inference(transitivity,[status(thm)],[20817, 20815])).
% 20.23/13.91 tff(20819,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2)))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20820,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2))),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20819, 20818])).
% 20.23/13.91 tff(20821,plain,
% 20.23/13.91 (v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20820, 121, 20802])).
% 20.23/13.91 tff(20822,plain,
% 20.23/13.91 (v84(constB174, bitIndex2) | (~v84(constB175, bitIndex2))),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20821, 20814])).
% 20.23/13.91 tff(20823,plain,
% 20.23/13.91 (~v84(constB175, bitIndex2)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20822, 20796])).
% 20.23/13.91 tff(20824,plain,
% 20.23/13.91 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB173)) | v124(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB173)) | v124(constB173, bitIndex1))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20825,plain,
% 20.23/13.91 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB173)) | v124(constB173, bitIndex1))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20826,plain,
% 20.23/13.91 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB173)) | v124(constB173, bitIndex1)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20825, 20824])).
% 20.23/13.91 tff(20827,plain,
% 20.23/13.91 (v124(constB173, bitIndex1)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20826, 1094, 20698])).
% 20.23/13.91 tff(20828,plain,
% 20.23/13.91 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20829,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20830,plain,
% 20.23/13.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20829, 20828])).
% 20.23/13.91 tff(20831,plain,
% 20.23/13.91 ((~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20830, 804, 20722])).
% 20.23/13.91 tff(20832,plain,
% 20.23/13.91 (v121(constB173, bitIndex1)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20831, 20827])).
% 20.23/13.91 tff(20833,plain,
% 20.23/13.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))),
% 20.23/13.91 inference(rewrite,[status(thm)],[])).
% 20.23/13.91 tff(20834,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))),
% 20.23/13.91 inference(quant_inst,[status(thm)],[])).
% 20.23/13.91 tff(20835,plain,
% 20.23/13.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1)),
% 20.23/13.91 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 20.23/13.91 tff(20836,plain,
% 20.23/13.91 ((~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1)),
% 20.23/13.91 inference(unit_resolution,[status(thm)],[20835, 819, 20737])).
% 20.23/13.92 tff(20837,plain,
% 20.23/13.92 (v123(constB174, bitIndex1)),
% 20.23/13.92 inference(unit_resolution,[status(thm)],[20836, 20832])).
% 20.23/13.92 tff(20838,plain,
% 20.23/13.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 20.23/13.92 inference(rewrite,[status(thm)],[])).
% 20.23/13.92 tff(20839,plain,
% 20.23/13.92 ((v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1))) <=> (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 20.23/13.92 inference(rewrite,[status(thm)],[])).
% 20.23/13.92 tff(20840,plain,
% 20.23/13.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174))))),
% 20.23/13.92 inference(monotonicity,[status(thm)],[20839])).
% 20.23/13.92 tff(20841,plain,
% 20.23/13.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 20.23/13.92 inference(transitivity,[status(thm)],[20840, 20838])).
% 20.23/13.92 tff(20842,plain,
% 20.23/13.92 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))),
% 20.23/13.92 inference(quant_inst,[status(thm)],[])).
% 20.23/13.92 tff(20843,plain,
% 20.23/13.92 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174))),
% 20.23/13.92 inference(modus_ponens,[status(thm)],[20842, 20841])).
% 20.23/13.92 tff(20844,plain,
% 20.23/13.92 (v84(constB174, bitIndex1) | (~v94(constB174))),
% 20.23/13.92 inference(unit_resolution,[status(thm)],[20843, 834, 20837])).
% 20.23/13.92 tff(20845,plain,
% 20.23/13.92 (v84(constB174, bitIndex1)),
% 20.23/13.92 inference(unit_resolution,[status(thm)],[20844, 20771])).
% 20.23/13.92 tff(20846,plain,
% 20.23/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 20.23/13.92 inference(rewrite,[status(thm)],[])).
% 20.23/13.92 tff(20847,plain,
% 20.23/13.92 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1)) <=> ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 20.23/13.92 inference(rewrite,[status(thm)],[])).
% 20.23/13.92 tff(20848,plain,
% 20.23/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1)))),
% 20.23/13.92 inference(monotonicity,[status(thm)],[20847])).
% 20.23/13.92 tff(20849,plain,
% 20.23/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 20.34/13.92 inference(transitivity,[status(thm)],[20848, 20846])).
% 20.34/13.92 tff(20850,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20851,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20850, 20849])).
% 20.34/13.92 tff(20852,plain,
% 20.34/13.92 ((~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20851, 852, 20802])).
% 20.34/13.92 tff(20853,plain,
% 20.34/13.92 ((~v84(constB174, bitIndex1)) | v84(constB175, bitIndex1)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20852, 20814])).
% 20.34/13.92 tff(20854,plain,
% 20.34/13.92 (v84(constB175, bitIndex1)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20853, 20845])).
% 20.34/13.92 tff(20855,plain,
% 20.34/13.92 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB173)) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB173)) | v124(constB173, bitIndex0))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20856,plain,
% 20.34/13.92 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB173)) | v124(constB173, bitIndex0))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20857,plain,
% 20.34/13.92 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB173)) | v124(constB173, bitIndex0)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20856, 20855])).
% 20.34/13.92 tff(20858,plain,
% 20.34/13.92 (v124(constB173, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20857, 1135, 20698])).
% 20.34/13.92 tff(20859,plain,
% 20.34/13.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20860,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20861,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20860, 20859])).
% 20.34/13.92 tff(20862,plain,
% 20.34/13.92 ((~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20861, 557, 20722])).
% 20.34/13.92 tff(20863,plain,
% 20.34/13.92 (v121(constB173, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20862, 20858])).
% 20.34/13.92 tff(20864,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20865,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20866,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20865, 20864])).
% 20.34/13.92 tff(20867,plain,
% 20.34/13.92 ((~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20866, 572, 20737])).
% 20.34/13.92 tff(20868,plain,
% 20.34/13.92 (v123(constB174, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20867, 20863])).
% 20.34/13.92 tff(20869,plain,
% 20.34/13.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20870,plain,
% 20.34/13.92 ((v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0))) <=> (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20871,plain,
% 20.34/13.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174))))),
% 20.34/13.92 inference(monotonicity,[status(thm)],[20870])).
% 20.34/13.92 tff(20872,plain,
% 20.34/13.92 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 20.34/13.92 inference(transitivity,[status(thm)],[20871, 20869])).
% 20.34/13.92 tff(20873,plain,
% 20.34/13.92 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20874,plain,
% 20.34/13.92 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20873, 20872])).
% 20.34/13.92 tff(20875,plain,
% 20.34/13.92 (v84(constB174, bitIndex0) | (~v94(constB174))),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20874, 587, 20868])).
% 20.34/13.92 tff(20876,plain,
% 20.34/13.92 (v84(constB174, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20875, 20771])).
% 20.34/13.92 tff(20877,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20878,plain,
% 20.34/13.92 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0)) <=> ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20879,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0)))),
% 20.34/13.92 inference(monotonicity,[status(thm)],[20878])).
% 20.34/13.92 tff(20880,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 20.34/13.92 inference(transitivity,[status(thm)],[20879, 20877])).
% 20.34/13.92 tff(20881,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20882,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20881, 20880])).
% 20.34/13.92 tff(20883,plain,
% 20.34/13.92 ((~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20882, 605, 20802])).
% 20.34/13.92 tff(20884,plain,
% 20.34/13.92 ((~v84(constB174, bitIndex0)) | v84(constB175, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20883, 20814])).
% 20.34/13.92 tff(20885,plain,
% 20.34/13.92 (v84(constB175, bitIndex0)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20884, 20876])).
% 20.34/13.92 tff(20886,plain,
% 20.34/13.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v116(constB175))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v116(constB175))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20887,plain,
% 20.34/13.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v116(constB175))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20888,plain,
% 20.34/13.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v116(constB175)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20887, 20886])).
% 20.34/13.92 tff(20889,plain,
% 20.34/13.92 (v116(constB175)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20888, 1176, 20885, 20854, 20823])).
% 20.34/13.92 tff(20890,plain,
% 20.34/13.92 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB175) | (~v116(constB175)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB175) | (~v116(constB175)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20891,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB175) | (~v116(constB175)))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20892,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB175) | (~v116(constB175))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20891, 20890])).
% 20.34/13.92 tff(20893,plain,
% 20.34/13.92 (v110(constB175)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20892, 1187, 20889])).
% 20.34/13.92 tff(20894,plain,
% 20.34/13.92 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB175) | (~v110(constB175)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB175) | (~v110(constB175)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20895,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB175) | (~v110(constB175)))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20896,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB175) | (~v110(constB175))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20895, 20894])).
% 20.34/13.92 tff(20897,plain,
% 20.34/13.92 (v109(constB175)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20896, 228, 20893])).
% 20.34/13.92 tff(20898,plain,
% 20.34/13.92 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB175) | (~v109(constB175)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB175) | (~v109(constB175)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20899,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB175) | (~v109(constB175)))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20900,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB175) | (~v109(constB175))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20899, 20898])).
% 20.34/13.92 tff(20901,plain,
% 20.34/13.92 (v108(constB175)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20900, 239, 20897])).
% 20.34/13.92 tff(20902,plain,
% 20.34/13.92 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB175) | (~v108(constB175)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB175) | (~v108(constB175)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20903,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB175) | (~v108(constB175)))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20904,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB175) | (~v108(constB175))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20903, 20902])).
% 20.34/13.92 tff(20905,plain,
% 20.34/13.92 (v107(constB175)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20904, 250, 20901])).
% 20.34/13.92 tff(20906,assumption,(v26(constB175)), introduced(assumption)).
% 20.34/13.92 tff(20907,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20908,plain,
% 20.34/13.92 ($false),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20907, 18, 20906])).
% 20.34/13.92 tff(20909,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 20.34/13.92 tff(20910,plain,
% 20.34/13.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB175) | (~v107(constB175)) | v106(constB175))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB175) | (~v107(constB175)) | v106(constB175))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20911,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB175) | (~v107(constB175)) | v106(constB175))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20912,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB175) | (~v107(constB175)) | v106(constB175)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20911, 20910])).
% 20.34/13.92 tff(20913,plain,
% 20.34/13.92 ((~v107(constB175)) | v106(constB175)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20912, 264, 20909])).
% 20.34/13.92 tff(20914,plain,
% 20.34/13.92 (v106(constB175)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20913, 20905])).
% 20.34/13.92 tff(20915,plain,
% 20.34/13.92 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB175) | (~v106(constB175)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB175) | (~v106(constB175)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20916,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB175) | (~v106(constB175)))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20917,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB175) | (~v106(constB175))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20916, 20915])).
% 20.34/13.92 tff(20918,plain,
% 20.34/13.92 (v102(constB175)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20917, 276, 20914])).
% 20.34/13.92 tff(20919,plain,
% 20.34/13.92 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20920,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 20.34/13.92 tff(20921,plain,
% 20.34/13.92 (nextState(constB175, constB176)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 20.34/13.92 tff(20922,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20923,plain,
% 20.34/13.92 (((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176)) <=> ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20924,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175))))),
% 20.34/13.92 inference(monotonicity,[status(thm)],[20923])).
% 20.34/13.92 tff(20925,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 20.34/13.92 inference(transitivity,[status(thm)],[20924, 20922])).
% 20.34/13.92 tff(20926,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20927,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20926, 20925])).
% 20.34/13.92 tff(20928,plain,
% 20.34/13.92 (v104(constB176) | (~v102(constB175))),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20927, 293, 20921])).
% 20.34/13.92 tff(20929,plain,
% 20.34/13.92 (v104(constB176)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20928, 20918])).
% 20.34/13.92 tff(20930,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20931,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20932,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20931, 20930])).
% 20.34/13.92 tff(20933,plain,
% 20.34/13.92 (~v98(constB176)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20932, 311, 20921, 20799])).
% 20.34/13.92 tff(20934,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20935,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20936,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB175, constB176)) | v96(constB176) | v98(constB176)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20935, 20934])).
% 20.34/13.92 tff(20937,plain,
% 20.34/13.92 (v96(constB176) | v98(constB176)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20936, 325, 20921])).
% 20.34/13.92 tff(20938,plain,
% 20.34/13.92 (v96(constB176)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20937, 20933])).
% 20.34/13.92 tff(20939,plain,
% 20.34/13.92 (v1(constB176) <=> v1(constB176)),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20940,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 20.34/13.92 tff(20941,plain,
% 20.34/13.92 (v1(constB176)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20940, 20939])).
% 20.34/13.92 tff(20942,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20943,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20944,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20943, 20942])).
% 20.34/13.92 tff(20945,plain,
% 20.34/13.92 (v95(constB176) | (~v96(constB176))),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20944, 343, 20921, 20941])).
% 20.34/13.92 tff(20946,plain,
% 20.34/13.92 (v95(constB176)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20945, 20938])).
% 20.34/13.92 tff(20947,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20948,plain,
% 20.34/13.92 (((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176)) <=> ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20949,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176))))),
% 20.34/13.92 inference(monotonicity,[status(thm)],[20948])).
% 20.34/13.92 tff(20950,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 20.34/13.92 inference(transitivity,[status(thm)],[20949, 20947])).
% 20.34/13.92 tff(20951,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20952,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176))),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20951, 20950])).
% 20.34/13.92 tff(20953,plain,
% 20.34/13.92 (v94(constB176) | (~v95(constB176)) | (~v104(constB176))),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20952, 358, 20921])).
% 20.34/13.92 tff(20954,plain,
% 20.34/13.92 (v94(constB176) | (~v104(constB176))),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20953, 20946])).
% 20.34/13.92 tff(20955,plain,
% 20.34/13.92 (v94(constB176)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20954, 20929])).
% 20.34/13.92 tff(20956,plain,
% 20.34/13.92 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB175)) | v124(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB175)) | v124(constB175, bitIndex2))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20957,plain,
% 20.34/13.92 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB175)) | v124(constB175, bitIndex2))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20958,plain,
% 20.34/13.92 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB175)) | v124(constB175, bitIndex2)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 20.34/13.92 tff(20959,plain,
% 20.34/13.92 (v124(constB175, bitIndex2)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20958, 1259, 20889])).
% 20.34/13.92 tff(20960,plain,
% 20.34/13.92 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB175) | (~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB175) | (~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20961,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB175) | (~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20962,plain,
% 20.34/13.92 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB175) | (~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20961, 20960])).
% 20.34/13.92 tff(20963,plain,
% 20.34/13.92 ((~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20962, 1273, 20909])).
% 20.34/13.92 tff(20964,plain,
% 20.34/13.92 (v121(constB175, bitIndex2)),
% 20.34/13.92 inference(unit_resolution,[status(thm)],[20963, 20959])).
% 20.34/13.92 tff(20965,plain,
% 20.34/13.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2))),
% 20.34/13.92 inference(rewrite,[status(thm)],[])).
% 20.34/13.92 tff(20966,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2))),
% 20.34/13.92 inference(quant_inst,[status(thm)],[])).
% 20.34/13.92 tff(20967,plain,
% 20.34/13.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2)),
% 20.34/13.92 inference(modus_ponens,[status(thm)],[20966, 20965])).
% 20.34/13.92 tff(20968,plain,
% 20.34/13.92 ((~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[20967, 1288, 20921])).
% 20.34/13.93 tff(20969,plain,
% 20.34/13.93 (v123(constB176, bitIndex2)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[20968, 20964])).
% 20.34/13.93 tff(20970,plain,
% 20.34/13.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20971,plain,
% 20.34/13.93 ((v84(constB176, bitIndex2) | (~v94(constB176)) | (~v123(constB176, bitIndex2))) <=> (v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20972,plain,
% 20.34/13.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v94(constB176)) | (~v123(constB176, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176))))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[20971])).
% 20.34/13.93 tff(20973,plain,
% 20.34/13.93 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v94(constB176)) | (~v123(constB176, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176)))),
% 20.34/13.93 inference(transitivity,[status(thm)],[20972, 20970])).
% 20.34/13.93 tff(20974,plain,
% 20.34/13.93 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v94(constB176)) | (~v123(constB176, bitIndex2)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(20975,plain,
% 20.34/13.93 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 20.34/13.93 tff(20976,plain,
% 20.34/13.93 (v84(constB176, bitIndex2) | (~v94(constB176))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[20975, 1303, 20969])).
% 20.34/13.93 tff(20977,plain,
% 20.34/13.93 (v84(constB176, bitIndex2)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[20976, 20955])).
% 20.34/13.93 tff(20978,plain,
% 20.34/13.93 ((~v1(constB177)) <=> (~v1(constB177))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20979,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 20.34/13.93 tff(20980,plain,
% 20.34/13.93 (~v1(constB177)),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[20979, 20978])).
% 20.34/13.93 tff(20981,plain,
% 20.34/13.93 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20982,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 20.34/13.93 tff(20983,plain,
% 20.34/13.93 (nextState(constB176, constB177)),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[20982, 20981])).
% 20.34/13.93 tff(20984,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20985,plain,
% 20.34/13.93 (((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20986,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177))))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[20985])).
% 20.34/13.93 tff(20987,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 20.34/13.93 inference(transitivity,[status(thm)],[20986, 20984])).
% 20.34/13.93 tff(20988,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(20989,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[20988, 20987])).
% 20.34/13.93 tff(20990,plain,
% 20.34/13.93 (~v95(constB177)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[20989, 89, 20983, 20980])).
% 20.34/13.93 tff(20991,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20992,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(20993,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[20992, 20991])).
% 20.34/13.93 tff(20994,plain,
% 20.34/13.93 (v95(constB177) | (~v94(constB177))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[20993, 106, 20983])).
% 20.34/13.93 tff(20995,plain,
% 20.34/13.93 (~v94(constB177)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[20994, 20990])).
% 20.34/13.93 tff(20996,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20997,plain,
% 20.34/13.93 (((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2)) <=> ((~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(20998,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2)))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[20997])).
% 20.34/13.93 tff(20999,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2))),
% 20.34/13.93 inference(transitivity,[status(thm)],[20998, 20996])).
% 20.34/13.93 tff(21000,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21001,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2)),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21000, 20999])).
% 20.34/13.93 tff(21002,plain,
% 20.34/13.93 ((~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21001, 1339, 20983])).
% 20.34/13.93 tff(21003,plain,
% 20.34/13.93 ((~v84(constB176, bitIndex2)) | v84(constB177, bitIndex2)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21002, 20995])).
% 20.34/13.93 tff(21004,plain,
% 20.34/13.93 (v84(constB177, bitIndex2)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21003, 20977])).
% 20.34/13.93 tff(21005,plain,
% 20.34/13.93 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB175)) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB175)) | (~v124(constB175, bitIndex1)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21006,plain,
% 20.34/13.93 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB175)) | (~v124(constB175, bitIndex1)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21007,plain,
% 20.34/13.93 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB175)) | (~v124(constB175, bitIndex1))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21006, 21005])).
% 20.34/13.93 tff(21008,plain,
% 20.34/13.93 (~v124(constB175, bitIndex1)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21007, 1358, 20889])).
% 20.34/13.93 tff(21009,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21010,plain,
% 20.34/13.93 ((v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1))) <=> ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21011,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1)))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[21010])).
% 20.34/13.93 tff(21012,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 20.34/13.93 inference(transitivity,[status(thm)],[21011, 21009])).
% 20.34/13.93 tff(21013,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21014,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1)),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21013, 21012])).
% 20.34/13.93 tff(21015,plain,
% 20.34/13.93 ((~v121(constB175, bitIndex1)) | v124(constB175, bitIndex1)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21014, 483, 20909])).
% 20.34/13.93 tff(21016,plain,
% 20.34/13.93 (~v121(constB175, bitIndex1)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21015, 21008])).
% 20.34/13.93 tff(21017,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21018,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21019,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21018, 21017])).
% 20.34/13.93 tff(21020,plain,
% 20.34/13.93 (v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21019, 501, 20921])).
% 20.34/13.93 tff(21021,plain,
% 20.34/13.93 (~v123(constB176, bitIndex1)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21020, 21016])).
% 20.34/13.93 tff(21022,plain,
% 20.34/13.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21023,plain,
% 20.34/13.93 (((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1)) <=> ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21024,plain,
% 20.34/13.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176))))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[21023])).
% 20.34/13.93 tff(21025,plain,
% 20.34/13.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 20.34/13.93 inference(transitivity,[status(thm)],[21024, 21022])).
% 20.34/13.93 tff(21026,plain,
% 20.34/13.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21027,plain,
% 20.34/13.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21026, 21025])).
% 20.34/13.93 tff(21028,plain,
% 20.34/13.93 ((~v84(constB176, bitIndex1)) | (~v94(constB176))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21027, 516, 21021])).
% 20.34/13.93 tff(21029,plain,
% 20.34/13.93 (~v84(constB176, bitIndex1)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21028, 20955])).
% 20.34/13.93 tff(21030,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21031,plain,
% 20.34/13.93 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1))) <=> (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21032,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1))))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[21031])).
% 20.34/13.93 tff(21033,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 20.34/13.93 inference(transitivity,[status(thm)],[21032, 21030])).
% 20.34/13.93 tff(21034,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21035,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 20.34/13.93 tff(21036,plain,
% 20.34/13.93 (v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21035, 142, 20983])).
% 20.34/13.93 tff(21037,plain,
% 20.34/13.93 (v84(constB176, bitIndex1) | (~v84(constB177, bitIndex1))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21036, 20995])).
% 20.34/13.93 tff(21038,plain,
% 20.34/13.93 (~v84(constB177, bitIndex1)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21037, 21029])).
% 20.34/13.93 tff(21039,plain,
% 20.34/13.93 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB175)) | (~v124(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB175)) | (~v124(constB175, bitIndex0)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21040,plain,
% 20.34/13.93 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB175)) | (~v124(constB175, bitIndex0)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21041,plain,
% 20.34/13.93 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB175)) | (~v124(constB175, bitIndex0))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21040, 21039])).
% 20.34/13.93 tff(21042,plain,
% 20.34/13.93 (~v124(constB175, bitIndex0)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21041, 1402, 20889])).
% 20.34/13.93 tff(21043,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21044,plain,
% 20.34/13.93 ((v26(constB175) | v124(constB175, bitIndex0) | (~v121(constB175, bitIndex0))) <=> ((~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21045,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB175) | v124(constB175, bitIndex0) | (~v121(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0)))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[21044])).
% 20.34/13.93 tff(21046,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB175) | v124(constB175, bitIndex0) | (~v121(constB175, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0))),
% 20.34/13.93 inference(transitivity,[status(thm)],[21045, 21043])).
% 20.34/13.93 tff(21047,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB175) | v124(constB175, bitIndex0) | (~v121(constB175, bitIndex0)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21048,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0)),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21047, 21046])).
% 20.34/13.93 tff(21049,plain,
% 20.34/13.93 ((~v121(constB175, bitIndex0)) | v124(constB175, bitIndex0)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21048, 885, 20909])).
% 20.34/13.93 tff(21050,plain,
% 20.34/13.93 (~v121(constB175, bitIndex0)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21049, 21042])).
% 20.34/13.93 tff(21051,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21052,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21053,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21052, 21051])).
% 20.34/13.93 tff(21054,plain,
% 20.34/13.93 (v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21053, 903, 20921])).
% 20.34/13.93 tff(21055,plain,
% 20.34/13.93 (~v123(constB176, bitIndex0)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21054, 21050])).
% 20.34/13.93 tff(21056,plain,
% 20.34/13.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21057,plain,
% 20.34/13.93 (((~v84(constB176, bitIndex0)) | (~v94(constB176)) | v123(constB176, bitIndex0)) <=> ((~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21058,plain,
% 20.34/13.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~v94(constB176)) | v123(constB176, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176))))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[21057])).
% 20.34/13.93 tff(21059,plain,
% 20.34/13.93 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~v94(constB176)) | v123(constB176, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176)))),
% 20.34/13.93 inference(transitivity,[status(thm)],[21058, 21056])).
% 20.34/13.93 tff(21060,plain,
% 20.34/13.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~v94(constB176)) | v123(constB176, bitIndex0))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21061,plain,
% 20.34/13.93 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21060, 21059])).
% 20.34/13.93 tff(21062,plain,
% 20.34/13.93 ((~v84(constB176, bitIndex0)) | (~v94(constB176))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21061, 918, 21055])).
% 20.34/13.93 tff(21063,plain,
% 20.34/13.93 (~v84(constB176, bitIndex0)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21062, 20955])).
% 20.34/13.93 tff(21064,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21065,plain,
% 20.34/13.93 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0))) <=> (v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21066,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0))))),
% 20.34/13.93 inference(monotonicity,[status(thm)],[21065])).
% 20.34/13.93 tff(21067,plain,
% 20.34/13.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0)))),
% 20.34/13.93 inference(transitivity,[status(thm)],[21066, 21064])).
% 20.34/13.93 tff(21068,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21069,plain,
% 20.34/13.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21068, 21067])).
% 20.34/13.93 tff(21070,plain,
% 20.34/13.93 (v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21069, 163, 20983])).
% 20.34/13.93 tff(21071,plain,
% 20.34/13.93 (v84(constB176, bitIndex0) | (~v84(constB177, bitIndex0))),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21070, 20995])).
% 20.34/13.93 tff(21072,plain,
% 20.34/13.93 (~v84(constB177, bitIndex0)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21071, 21063])).
% 20.34/13.93 tff(21073,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)) | v172(constB177))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)) | v172(constB177))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21074,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)) | v172(constB177))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21075,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)) | v172(constB177)),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21074, 21073])).
% 20.34/13.93 tff(21076,plain,
% 20.34/13.93 (v172(constB177)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21075, 1446, 21072, 21038, 21004])).
% 20.34/13.93 tff(21077,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB177) | (~v172(constB177)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB177) | (~v172(constB177)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21078,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB177) | (~v172(constB177)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21079,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB177) | (~v172(constB177))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21078, 21077])).
% 20.34/13.93 tff(21080,plain,
% 20.34/13.93 (v109(constB177)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21079, 1457, 21076])).
% 20.34/13.93 tff(21081,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB177) | (~v109(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB177) | (~v109(constB177)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21082,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB177) | (~v109(constB177)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21083,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB177) | (~v109(constB177))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21082, 21081])).
% 20.34/13.93 tff(21084,plain,
% 20.34/13.93 (v108(constB177)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21083, 239, 21080])).
% 20.34/13.93 tff(21085,plain,
% 20.34/13.93 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB177) | (~v108(constB177)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB177) | (~v108(constB177)))),
% 20.34/13.93 inference(rewrite,[status(thm)],[])).
% 20.34/13.93 tff(21086,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB177) | (~v108(constB177)))),
% 20.34/13.93 inference(quant_inst,[status(thm)],[])).
% 20.34/13.93 tff(21087,plain,
% 20.34/13.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB177) | (~v108(constB177))),
% 20.34/13.93 inference(modus_ponens,[status(thm)],[21086, 21085])).
% 20.34/13.93 tff(21088,plain,
% 20.34/13.93 (v107(constB177)),
% 20.34/13.93 inference(unit_resolution,[status(thm)],[21087, 250, 21084])).
% 20.34/13.93 tff(21089,assumption,(v26(constB177)), introduced(assumption)).
% 20.34/13.94 tff(21090,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21091,plain,
% 20.34/13.94 ($false),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21090, 18, 21089])).
% 20.34/13.94 tff(21092,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 20.34/13.94 tff(21093,plain,
% 20.34/13.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | v106(constB177) | (~v107(constB177)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | v106(constB177) | (~v107(constB177)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21094,plain,
% 20.34/13.94 ((v26(constB177) | (~v107(constB177)) | v106(constB177)) <=> (v26(constB177) | v106(constB177) | (~v107(constB177)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21095,plain,
% 20.34/13.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | v106(constB177) | (~v107(constB177))))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21094])).
% 20.34/13.94 tff(21096,plain,
% 20.34/13.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | v106(constB177) | (~v107(constB177)))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21095, 21093])).
% 20.34/13.94 tff(21097,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21098,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | v106(constB177) | (~v107(constB177))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21097, 21096])).
% 20.34/13.94 tff(21099,plain,
% 20.34/13.94 (v106(constB177) | (~v107(constB177))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21098, 264, 21092])).
% 20.34/13.94 tff(21100,plain,
% 20.34/13.94 (v106(constB177)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21099, 21088])).
% 20.34/13.94 tff(21101,plain,
% 20.34/13.94 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB177) | (~v106(constB177)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB177) | (~v106(constB177)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21102,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB177) | (~v106(constB177)))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21103,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB177) | (~v106(constB177))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21102, 21101])).
% 20.34/13.94 tff(21104,plain,
% 20.34/13.94 (v102(constB177)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21103, 276, 21100])).
% 20.34/13.94 tff(21105,plain,
% 20.34/13.94 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21106,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 20.34/13.94 tff(21107,plain,
% 20.34/13.94 (nextState(constB177, constB178)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21106, 21105])).
% 20.34/13.94 tff(21108,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21109,plain,
% 20.34/13.94 (((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178)) <=> ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21110,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177))))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21109])).
% 20.34/13.94 tff(21111,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21110, 21108])).
% 20.34/13.94 tff(21112,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21113,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21112, 21111])).
% 20.34/13.94 tff(21114,plain,
% 20.34/13.94 (v104(constB178) | (~v102(constB177))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21113, 293, 21107])).
% 20.34/13.94 tff(21115,plain,
% 20.34/13.94 (v104(constB178)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21114, 21104])).
% 20.34/13.94 tff(21116,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21117,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21118,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21117, 21116])).
% 20.34/13.94 tff(21119,plain,
% 20.34/13.94 (~v98(constB178)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21118, 311, 21107, 20980])).
% 20.34/13.94 tff(21120,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21121,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21122,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB177, constB178)) | v96(constB178) | v98(constB178)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21121, 21120])).
% 20.34/13.94 tff(21123,plain,
% 20.34/13.94 (v96(constB178) | v98(constB178)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21122, 325, 21107])).
% 20.34/13.94 tff(21124,plain,
% 20.34/13.94 (v96(constB178)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21123, 21119])).
% 20.34/13.94 tff(21125,plain,
% 20.34/13.94 (v1(constB178) <=> v1(constB178)),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21126,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 20.34/13.94 tff(21127,plain,
% 20.34/13.94 (v1(constB178)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21126, 21125])).
% 20.34/13.94 tff(21128,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21129,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21130,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21129, 21128])).
% 20.34/13.94 tff(21131,plain,
% 20.34/13.94 (v95(constB178) | (~v96(constB178))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21130, 343, 21107, 21127])).
% 20.34/13.94 tff(21132,plain,
% 20.34/13.94 (v95(constB178)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21131, 21124])).
% 20.34/13.94 tff(21133,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21134,plain,
% 20.34/13.94 (((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178)) <=> ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21135,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178))))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21134])).
% 20.34/13.94 tff(21136,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21135, 21133])).
% 20.34/13.94 tff(21137,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21138,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21137, 21136])).
% 20.34/13.94 tff(21139,plain,
% 20.34/13.94 (v94(constB178) | (~v95(constB178)) | (~v104(constB178))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21138, 358, 21107])).
% 20.34/13.94 tff(21140,plain,
% 20.34/13.94 (v94(constB178) | (~v104(constB178))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21139, 21132])).
% 20.34/13.94 tff(21141,plain,
% 20.34/13.94 (v94(constB178)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21140, 21115])).
% 20.34/13.94 tff(21142,plain,
% 20.34/13.94 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB177)) | v124(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB177)) | v124(constB177, bitIndex0))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21143,plain,
% 20.34/13.94 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB177)) | v124(constB177, bitIndex0))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21144,plain,
% 20.34/13.94 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB177)) | v124(constB177, bitIndex0)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21143, 21142])).
% 20.34/13.94 tff(21145,plain,
% 20.34/13.94 (v124(constB177, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21144, 1631, 21076])).
% 20.34/13.94 tff(21146,plain,
% 20.34/13.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB177) | (~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB177) | (~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21147,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB177) | (~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21148,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB177) | (~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21147, 21146])).
% 20.34/13.94 tff(21149,plain,
% 20.34/13.94 ((~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21148, 557, 21092])).
% 20.34/13.94 tff(21150,plain,
% 20.34/13.94 (v121(constB177, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21149, 21145])).
% 20.34/13.94 tff(21151,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21152,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21153,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21152, 21151])).
% 20.34/13.94 tff(21154,plain,
% 20.34/13.94 ((~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21153, 572, 21107])).
% 20.34/13.94 tff(21155,plain,
% 20.34/13.94 (v123(constB178, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21154, 21150])).
% 20.34/13.94 tff(21156,plain,
% 20.34/13.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21157,plain,
% 20.34/13.94 ((v84(constB178, bitIndex0) | (~v94(constB178)) | (~v123(constB178, bitIndex0))) <=> (v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21158,plain,
% 20.34/13.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v94(constB178)) | (~v123(constB178, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178))))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21157])).
% 20.34/13.94 tff(21159,plain,
% 20.34/13.94 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v94(constB178)) | (~v123(constB178, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178)))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21158, 21156])).
% 20.34/13.94 tff(21160,plain,
% 20.34/13.94 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v94(constB178)) | (~v123(constB178, bitIndex0)))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21161,plain,
% 20.34/13.94 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21160, 21159])).
% 20.34/13.94 tff(21162,plain,
% 20.34/13.94 (v84(constB178, bitIndex0) | (~v94(constB178))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21161, 587, 21155])).
% 20.34/13.94 tff(21163,plain,
% 20.34/13.94 (v84(constB178, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21162, 21141])).
% 20.34/13.94 tff(21164,plain,
% 20.34/13.94 ((~v1(constB179)) <=> (~v1(constB179))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21165,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 20.34/13.94 tff(21166,plain,
% 20.34/13.94 (~v1(constB179)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21165, 21164])).
% 20.34/13.94 tff(21167,plain,
% 20.34/13.94 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21168,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 20.34/13.94 tff(21169,plain,
% 20.34/13.94 (nextState(constB178, constB179)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21168, 21167])).
% 20.34/13.94 tff(21170,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21171,plain,
% 20.34/13.94 (((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21172,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179))))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21171])).
% 20.34/13.94 tff(21173,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21172, 21170])).
% 20.34/13.94 tff(21174,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21175,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 20.34/13.94 tff(21176,plain,
% 20.34/13.94 (~v95(constB179)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21175, 89, 21169, 21166])).
% 20.34/13.94 tff(21177,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21178,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21179,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 20.34/13.94 tff(21180,plain,
% 20.34/13.94 (v95(constB179) | (~v94(constB179))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21179, 106, 21169])).
% 20.34/13.94 tff(21181,plain,
% 20.34/13.94 (~v94(constB179)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21180, 21176])).
% 20.34/13.94 tff(21182,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21183,plain,
% 20.34/13.94 (((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0)) <=> ((~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21184,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0)))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21183])).
% 20.34/13.94 tff(21185,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21184, 21182])).
% 20.34/13.94 tff(21186,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21187,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21186, 21185])).
% 20.34/13.94 tff(21188,plain,
% 20.34/13.94 ((~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21187, 605, 21169])).
% 20.34/13.94 tff(21189,plain,
% 20.34/13.94 ((~v84(constB178, bitIndex0)) | v84(constB179, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21188, 21181])).
% 20.34/13.94 tff(21190,plain,
% 20.34/13.94 (v84(constB179, bitIndex0)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21189, 21163])).
% 20.34/13.94 tff(21191,plain,
% 20.34/13.94 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB177)) | (~v124(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB177)) | (~v124(constB177, bitIndex1)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21192,plain,
% 20.34/13.94 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB177)) | (~v124(constB177, bitIndex1)))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21193,plain,
% 20.34/13.94 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB177)) | (~v124(constB177, bitIndex1))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21192, 21191])).
% 20.34/13.94 tff(21194,plain,
% 20.34/13.94 (~v124(constB177, bitIndex1)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21193, 1587, 21076])).
% 20.34/13.94 tff(21195,plain,
% 20.34/13.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21196,plain,
% 20.34/13.94 ((v26(constB177) | v124(constB177, bitIndex1) | (~v121(constB177, bitIndex1))) <=> ((~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21197,plain,
% 20.34/13.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB177) | v124(constB177, bitIndex1) | (~v121(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1)))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21196])).
% 20.34/13.94 tff(21198,plain,
% 20.34/13.94 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB177) | v124(constB177, bitIndex1) | (~v121(constB177, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21197, 21195])).
% 20.34/13.94 tff(21199,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB177) | v124(constB177, bitIndex1) | (~v121(constB177, bitIndex1)))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21200,plain,
% 20.34/13.94 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1)),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21199, 21198])).
% 20.34/13.94 tff(21201,plain,
% 20.34/13.94 ((~v121(constB177, bitIndex1)) | v124(constB177, bitIndex1)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21200, 483, 21092])).
% 20.34/13.94 tff(21202,plain,
% 20.34/13.94 (~v121(constB177, bitIndex1)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21201, 21194])).
% 20.34/13.94 tff(21203,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21204,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1)))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21205,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 20.34/13.94 tff(21206,plain,
% 20.34/13.94 (v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21205, 501, 21107])).
% 20.34/13.94 tff(21207,plain,
% 20.34/13.94 (~v123(constB178, bitIndex1)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21206, 21202])).
% 20.34/13.94 tff(21208,plain,
% 20.34/13.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21209,plain,
% 20.34/13.94 (((~v84(constB178, bitIndex1)) | (~v94(constB178)) | v123(constB178, bitIndex1)) <=> ((~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21210,plain,
% 20.34/13.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~v94(constB178)) | v123(constB178, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178))))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21209])).
% 20.34/13.94 tff(21211,plain,
% 20.34/13.94 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~v94(constB178)) | v123(constB178, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178)))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21210, 21208])).
% 20.34/13.94 tff(21212,plain,
% 20.34/13.94 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~v94(constB178)) | v123(constB178, bitIndex1))),
% 20.34/13.94 inference(quant_inst,[status(thm)],[])).
% 20.34/13.94 tff(21213,plain,
% 20.34/13.94 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178))),
% 20.34/13.94 inference(modus_ponens,[status(thm)],[21212, 21211])).
% 20.34/13.94 tff(21214,plain,
% 20.34/13.94 ((~v84(constB178, bitIndex1)) | (~v94(constB178))),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21213, 516, 21207])).
% 20.34/13.94 tff(21215,plain,
% 20.34/13.94 (~v84(constB178, bitIndex1)),
% 20.34/13.94 inference(unit_resolution,[status(thm)],[21214, 21141])).
% 20.34/13.94 tff(21216,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21217,plain,
% 20.34/13.94 (((~nextState(constB178, constB179)) | v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1))) <=> (v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1)))),
% 20.34/13.94 inference(rewrite,[status(thm)],[])).
% 20.34/13.94 tff(21218,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1))))),
% 20.34/13.94 inference(monotonicity,[status(thm)],[21217])).
% 20.34/13.94 tff(21219,plain,
% 20.34/13.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1)))),
% 20.34/13.94 inference(transitivity,[status(thm)],[21218, 21216])).
% 20.34/13.94 tff(21220,plain,
% 20.34/13.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1)))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21221,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21220, 21219])).
% 20.34/13.95 tff(21222,plain,
% 20.34/13.95 (v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21221, 142, 21169])).
% 20.34/13.95 tff(21223,plain,
% 20.34/13.95 (v84(constB178, bitIndex1) | (~v84(constB179, bitIndex1))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21222, 21181])).
% 20.34/13.95 tff(21224,plain,
% 20.34/13.95 (~v84(constB179, bitIndex1)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21223, 21215])).
% 20.34/13.95 tff(21225,assumption,(v116(constB175)), introduced(assumption)).
% 20.34/13.95 tff(21226,plain,
% 20.34/13.95 (v110(constB175)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20892, 1187, 21225])).
% 20.34/13.95 tff(21227,plain,
% 20.34/13.95 (v109(constB175)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20896, 228, 21226])).
% 20.34/13.95 tff(21228,plain,
% 20.34/13.95 (v108(constB175)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20900, 239, 21227])).
% 20.34/13.95 tff(21229,plain,
% 20.34/13.95 (v107(constB175)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20904, 250, 21228])).
% 20.34/13.95 tff(21230,plain,
% 20.34/13.95 (v106(constB175)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20913, 21229])).
% 20.34/13.95 tff(21231,plain,
% 20.34/13.95 (v102(constB175)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20917, 276, 21230])).
% 20.34/13.95 tff(21232,plain,
% 20.34/13.95 (v104(constB176)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20928, 21231])).
% 20.34/13.95 tff(21233,plain,
% 20.34/13.95 (v94(constB176)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20954, 21232])).
% 20.34/13.95 tff(21234,plain,
% 20.34/13.95 (v124(constB175, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20958, 1259, 21225])).
% 20.34/13.95 tff(21235,plain,
% 20.34/13.95 (v121(constB175, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20963, 21234])).
% 20.34/13.95 tff(21236,plain,
% 20.34/13.95 (v123(constB176, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20968, 21235])).
% 20.34/13.95 tff(21237,plain,
% 20.34/13.95 (v84(constB176, bitIndex2) | (~v94(constB176))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[20975, 1303, 21236])).
% 20.34/13.95 tff(21238,plain,
% 20.34/13.95 (v84(constB176, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21237, 21233])).
% 20.34/13.95 tff(21239,plain,
% 20.34/13.95 (v84(constB177, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21003, 21238])).
% 20.34/13.95 tff(21240,plain,
% 20.34/13.95 (~v124(constB175, bitIndex1)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21007, 1358, 21225])).
% 20.34/13.95 tff(21241,plain,
% 20.34/13.95 (~v121(constB175, bitIndex1)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21015, 21240])).
% 20.34/13.95 tff(21242,plain,
% 20.34/13.95 (~v123(constB176, bitIndex1)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21020, 21241])).
% 20.34/13.95 tff(21243,plain,
% 20.34/13.95 ((~v84(constB176, bitIndex1)) | (~v94(constB176))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21027, 516, 21242])).
% 20.34/13.95 tff(21244,plain,
% 20.34/13.95 (~v84(constB176, bitIndex1)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21243, 21233])).
% 20.34/13.95 tff(21245,plain,
% 20.34/13.95 (~v84(constB177, bitIndex1)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21037, 21244])).
% 20.34/13.95 tff(21246,plain,
% 20.34/13.95 (~v124(constB175, bitIndex0)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21041, 1402, 21225])).
% 20.34/13.95 tff(21247,plain,
% 20.34/13.95 (~v121(constB175, bitIndex0)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21049, 21246])).
% 20.34/13.95 tff(21248,plain,
% 20.34/13.95 (~v123(constB176, bitIndex0)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21054, 21247])).
% 20.34/13.95 tff(21249,plain,
% 20.34/13.95 ((~v84(constB176, bitIndex0)) | (~v94(constB176))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21061, 918, 21248])).
% 20.34/13.95 tff(21250,plain,
% 20.34/13.95 (~v84(constB176, bitIndex0)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21249, 21233])).
% 20.34/13.95 tff(21251,plain,
% 20.34/13.95 (~v84(constB177, bitIndex0)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21071, 21250])).
% 20.34/13.95 tff(21252,plain,
% 20.34/13.95 (v172(constB177)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21075, 1446, 21251, 21245, 21239])).
% 20.34/13.95 tff(21253,assumption,(~v84(constB178, bitIndex2)), introduced(assumption)).
% 20.34/13.95 tff(21254,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21255,plain,
% 20.34/13.95 (((~nextState(constB177, constB178)) | (~v84(constB177, bitIndex2)) | v94(constB178) | v84(constB178, bitIndex2)) <=> ((~v84(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21256,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v84(constB177, bitIndex2)) | v94(constB178) | v84(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex2)))),
% 20.34/13.95 inference(monotonicity,[status(thm)],[21255])).
% 20.34/13.95 tff(21257,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v84(constB177, bitIndex2)) | v94(constB178) | v84(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex2))),
% 20.34/13.95 inference(transitivity,[status(thm)],[21256, 21254])).
% 20.34/13.95 tff(21258,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v84(constB177, bitIndex2)) | v94(constB178) | v84(constB178, bitIndex2))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21259,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB177, bitIndex2)) | (~nextState(constB177, constB178)) | v94(constB178) | v84(constB178, bitIndex2)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21258, 21257])).
% 20.34/13.95 tff(21260,plain,
% 20.34/13.95 ((~v84(constB177, bitIndex2)) | v94(constB178) | v84(constB178, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21259, 1339, 21107])).
% 20.34/13.95 tff(21261,plain,
% 20.34/13.95 (v94(constB178)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21260, 21239, 21253])).
% 20.34/13.95 tff(21262,plain,
% 20.34/13.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21263,plain,
% 20.34/13.95 ((v84(constB178, bitIndex2) | (~v94(constB178)) | (~v123(constB178, bitIndex2))) <=> (v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21264,plain,
% 20.34/13.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v94(constB178)) | (~v123(constB178, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178))))),
% 20.34/13.95 inference(monotonicity,[status(thm)],[21263])).
% 20.34/13.95 tff(21265,plain,
% 20.34/13.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v94(constB178)) | (~v123(constB178, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178)))),
% 20.34/13.95 inference(transitivity,[status(thm)],[21264, 21262])).
% 20.34/13.95 tff(21266,plain,
% 20.34/13.95 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v94(constB178)) | (~v123(constB178, bitIndex2)))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21267,plain,
% 20.34/13.95 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21266, 21265])).
% 20.34/13.95 tff(21268,plain,
% 20.34/13.95 ((~v123(constB178, bitIndex2)) | (~v94(constB178))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21267, 1303, 21253])).
% 20.34/13.95 tff(21269,plain,
% 20.34/13.95 (~v123(constB178, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21268, 21261])).
% 20.34/13.95 tff(21270,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21271,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21272,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 20.34/13.95 tff(21273,plain,
% 20.34/13.95 ((~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21272, 1288, 21107])).
% 20.34/13.95 tff(21274,plain,
% 20.34/13.95 (~v121(constB177, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21273, 21269])).
% 20.34/13.95 tff(21275,plain,
% 20.34/13.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB177) | (~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB177) | (~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21276,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB177) | (~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21277,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB177) | (~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21276, 21275])).
% 20.34/13.95 tff(21278,plain,
% 20.34/13.95 ((~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21277, 1273, 21092])).
% 20.34/13.95 tff(21279,plain,
% 20.34/13.95 (~v124(constB177, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21278, 21274])).
% 20.34/13.95 tff(21280,plain,
% 20.34/13.95 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB177)) | v124(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB177)) | v124(constB177, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21281,plain,
% 20.34/13.95 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB177)) | v124(constB177, bitIndex2))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21282,plain,
% 20.34/13.95 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB177)) | v124(constB177, bitIndex2)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21281, 21280])).
% 20.34/13.95 tff(21283,plain,
% 20.34/13.95 ($false),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21282, 1528, 21279, 21252])).
% 20.34/13.95 tff(21284,plain,((~v116(constB175)) | v84(constB178, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.34/13.95 tff(21285,plain,
% 20.34/13.95 (v84(constB178, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21284, 20889])).
% 20.34/13.95 tff(21286,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21287,plain,
% 20.34/13.95 (((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2)) <=> ((~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21288,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2)))),
% 20.34/13.95 inference(monotonicity,[status(thm)],[21287])).
% 20.34/13.95 tff(21289,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2))),
% 20.34/13.95 inference(transitivity,[status(thm)],[21288, 21286])).
% 20.34/13.95 tff(21290,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21291,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21290, 21289])).
% 20.34/13.95 tff(21292,plain,
% 20.34/13.95 ((~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21291, 1339, 21169])).
% 20.34/13.95 tff(21293,plain,
% 20.34/13.95 ((~v84(constB178, bitIndex2)) | v84(constB179, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21292, 21181])).
% 20.34/13.95 tff(21294,plain,
% 20.34/13.95 (v84(constB179, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21293, 21285])).
% 20.34/13.95 tff(21295,plain,
% 20.34/13.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21296,plain,
% 20.34/13.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21297,plain,
% 20.34/13.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21296, 21295])).
% 20.34/13.95 tff(21298,plain,
% 20.34/13.95 ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | v118(constB179)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21297, 1672, 21294])).
% 20.34/13.95 tff(21299,plain,
% 20.34/13.95 (v118(constB179)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21298, 21224, 21190])).
% 20.34/13.95 tff(21300,plain,
% 20.34/13.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB179) | (~v118(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB179) | (~v118(constB179)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21301,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB179) | (~v118(constB179)))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21302,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB179) | (~v118(constB179))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21301, 21300])).
% 20.34/13.95 tff(21303,plain,
% 20.34/13.95 (v108(constB179)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21302, 1683, 21299])).
% 20.34/13.95 tff(21304,plain,
% 20.34/13.95 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB179) | (~v108(constB179)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB179) | (~v108(constB179)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21305,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB179) | (~v108(constB179)))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21306,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB179) | (~v108(constB179))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21305, 21304])).
% 20.34/13.95 tff(21307,plain,
% 20.34/13.95 (v107(constB179)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21306, 250, 21303])).
% 20.34/13.95 tff(21308,assumption,(v26(constB179)), introduced(assumption)).
% 20.34/13.95 tff(21309,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21310,plain,
% 20.34/13.95 ($false),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21309, 18, 21308])).
% 20.34/13.95 tff(21311,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 20.34/13.95 tff(21312,plain,
% 20.34/13.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | (~v107(constB179)) | v106(constB179))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21313,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21314,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | (~v107(constB179)) | v106(constB179)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 20.34/13.95 tff(21315,plain,
% 20.34/13.95 ((~v107(constB179)) | v106(constB179)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21314, 264, 21311])).
% 20.34/13.95 tff(21316,plain,
% 20.34/13.95 (v106(constB179)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21315, 21307])).
% 20.34/13.95 tff(21317,plain,
% 20.34/13.95 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB179) | (~v106(constB179)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB179) | (~v106(constB179)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21318,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB179) | (~v106(constB179)))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21319,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB179) | (~v106(constB179))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21318, 21317])).
% 20.34/13.95 tff(21320,plain,
% 20.34/13.95 (v102(constB179)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21319, 276, 21316])).
% 20.34/13.95 tff(21321,plain,
% 20.34/13.95 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21322,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 20.34/13.95 tff(21323,plain,
% 20.34/13.95 (nextState(constB179, constB180)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21322, 21321])).
% 20.34/13.95 tff(21324,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21325,plain,
% 20.34/13.95 (((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21326,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))))),
% 20.34/13.95 inference(monotonicity,[status(thm)],[21325])).
% 20.34/13.95 tff(21327,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 20.34/13.95 inference(transitivity,[status(thm)],[21326, 21324])).
% 20.34/13.95 tff(21328,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21329,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21328, 21327])).
% 20.34/13.95 tff(21330,plain,
% 20.34/13.95 (v104(constB180) | (~v102(constB179))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21329, 293, 21323])).
% 20.34/13.95 tff(21331,plain,
% 20.34/13.95 (v104(constB180)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21330, 21320])).
% 20.34/13.95 tff(21332,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21333,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21334,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21333, 21332])).
% 20.34/13.95 tff(21335,plain,
% 20.34/13.95 (~v98(constB180)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21334, 311, 21323, 21166])).
% 20.34/13.95 tff(21336,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21337,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21338,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21337, 21336])).
% 20.34/13.95 tff(21339,plain,
% 20.34/13.95 (v96(constB180) | v98(constB180)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21338, 325, 21323])).
% 20.34/13.95 tff(21340,plain,
% 20.34/13.95 (v96(constB180)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21339, 21335])).
% 20.34/13.95 tff(21341,plain,
% 20.34/13.95 (v1(constB180) <=> v1(constB180)),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21342,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 20.34/13.95 tff(21343,plain,
% 20.34/13.95 (v1(constB180)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21342, 21341])).
% 20.34/13.95 tff(21344,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21345,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21346,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21345, 21344])).
% 20.34/13.95 tff(21347,plain,
% 20.34/13.95 (v95(constB180) | (~v96(constB180))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21346, 343, 21323, 21343])).
% 20.34/13.95 tff(21348,plain,
% 20.34/13.95 (v95(constB180)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21347, 21340])).
% 20.34/13.95 tff(21349,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21350,plain,
% 20.34/13.95 (((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180)) <=> ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21351,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180))))),
% 20.34/13.95 inference(monotonicity,[status(thm)],[21350])).
% 20.34/13.95 tff(21352,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 20.34/13.95 inference(transitivity,[status(thm)],[21351, 21349])).
% 20.34/13.95 tff(21353,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21354,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21353, 21352])).
% 20.34/13.95 tff(21355,plain,
% 20.34/13.95 (v94(constB180) | (~v95(constB180)) | (~v104(constB180))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21354, 358, 21323])).
% 20.34/13.95 tff(21356,plain,
% 20.34/13.95 (v94(constB180) | (~v104(constB180))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21355, 21348])).
% 20.34/13.95 tff(21357,plain,
% 20.34/13.95 (v94(constB180)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21356, 21331])).
% 20.34/13.95 tff(21358,plain,
% 20.34/13.95 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB179)) | v124(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB179)) | v124(constB179, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21359,plain,
% 20.34/13.95 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB179)) | v124(constB179, bitIndex2))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21360,plain,
% 20.34/13.95 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB179)) | v124(constB179, bitIndex2)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21359, 21358])).
% 20.34/13.95 tff(21361,plain,
% 20.34/13.95 (v124(constB179, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21360, 1750, 21299])).
% 20.34/13.95 tff(21362,plain,
% 20.34/13.95 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB179) | (~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB179) | (~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21363,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB179) | (~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21364,plain,
% 20.34/13.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB179) | (~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21363, 21362])).
% 20.34/13.95 tff(21365,plain,
% 20.34/13.95 ((~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21364, 1273, 21311])).
% 20.34/13.95 tff(21366,plain,
% 20.34/13.95 (v121(constB179, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21365, 21361])).
% 20.34/13.95 tff(21367,plain,
% 20.34/13.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21368,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21369,plain,
% 20.34/13.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2)),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21368, 21367])).
% 20.34/13.95 tff(21370,plain,
% 20.34/13.95 ((~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21369, 1288, 21323])).
% 20.34/13.95 tff(21371,plain,
% 20.34/13.95 (v123(constB180, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21370, 21366])).
% 20.34/13.95 tff(21372,plain,
% 20.34/13.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21373,plain,
% 20.34/13.95 ((v84(constB180, bitIndex2) | (~v94(constB180)) | (~v123(constB180, bitIndex2))) <=> (v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180)))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21374,plain,
% 20.34/13.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v94(constB180)) | (~v123(constB180, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180))))),
% 20.34/13.95 inference(monotonicity,[status(thm)],[21373])).
% 20.34/13.95 tff(21375,plain,
% 20.34/13.95 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v94(constB180)) | (~v123(constB180, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180)))),
% 20.34/13.95 inference(transitivity,[status(thm)],[21374, 21372])).
% 20.34/13.95 tff(21376,plain,
% 20.34/13.95 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v94(constB180)) | (~v123(constB180, bitIndex2)))),
% 20.34/13.95 inference(quant_inst,[status(thm)],[])).
% 20.34/13.95 tff(21377,plain,
% 20.34/13.95 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180))),
% 20.34/13.95 inference(modus_ponens,[status(thm)],[21376, 21375])).
% 20.34/13.95 tff(21378,plain,
% 20.34/13.95 (v84(constB180, bitIndex2) | (~v94(constB180))),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21377, 1303, 21371])).
% 20.34/13.95 tff(21379,plain,
% 20.34/13.95 (v84(constB180, bitIndex2)),
% 20.34/13.95 inference(unit_resolution,[status(thm)],[21378, 21357])).
% 20.34/13.95 tff(21380,plain,
% 20.34/13.95 ((~v1(constB181)) <=> (~v1(constB181))),
% 20.34/13.95 inference(rewrite,[status(thm)],[])).
% 20.34/13.95 tff(21381,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 20.34/13.96 tff(21382,plain,
% 20.34/13.96 (~v1(constB181)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21381, 21380])).
% 20.34/13.96 tff(21383,plain,
% 20.34/13.96 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21384,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 20.34/13.96 tff(21385,plain,
% 20.34/13.96 (nextState(constB180, constB181)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21384, 21383])).
% 20.34/13.96 tff(21386,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21387,plain,
% 20.34/13.96 (((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21388,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21387])).
% 20.34/13.96 tff(21389,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21388, 21386])).
% 20.34/13.96 tff(21390,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21391,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21390, 21389])).
% 20.34/13.96 tff(21392,plain,
% 20.34/13.96 (~v95(constB181)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21391, 89, 21385, 21382])).
% 20.34/13.96 tff(21393,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21394,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21395,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21394, 21393])).
% 20.34/13.96 tff(21396,plain,
% 20.34/13.96 (v95(constB181) | (~v94(constB181))),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21395, 106, 21385])).
% 20.34/13.96 tff(21397,plain,
% 20.34/13.96 (~v94(constB181)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21396, 21392])).
% 20.34/13.96 tff(21398,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21399,plain,
% 20.34/13.96 (((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2)) <=> ((~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21400,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2)))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21399])).
% 20.34/13.96 tff(21401,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21400, 21398])).
% 20.34/13.96 tff(21402,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21403,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21402, 21401])).
% 20.34/13.96 tff(21404,plain,
% 20.34/13.96 ((~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21403, 1339, 21385])).
% 20.34/13.96 tff(21405,plain,
% 20.34/13.96 ((~v84(constB180, bitIndex2)) | v84(constB181, bitIndex2)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21404, 21397])).
% 20.34/13.96 tff(21406,plain,
% 20.34/13.96 (v84(constB181, bitIndex2)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21405, 21379])).
% 20.34/13.96 tff(21407,plain,
% 20.34/13.96 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB179)) | v124(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB179)) | v124(constB179, bitIndex1))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21408,plain,
% 20.34/13.96 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB179)) | v124(constB179, bitIndex1))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21409,plain,
% 20.34/13.96 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB179)) | v124(constB179, bitIndex1)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21408, 21407])).
% 20.34/13.96 tff(21410,plain,
% 20.34/13.96 (v124(constB179, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21409, 1809, 21299])).
% 20.34/13.96 tff(21411,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21412,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21413,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21412, 21411])).
% 20.34/13.96 tff(21414,plain,
% 20.34/13.96 ((~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21413, 804, 21311])).
% 20.34/13.96 tff(21415,plain,
% 20.34/13.96 (v121(constB179, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21414, 21410])).
% 20.34/13.96 tff(21416,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21417,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21418,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21417, 21416])).
% 20.34/13.96 tff(21419,plain,
% 20.34/13.96 ((~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21418, 819, 21323])).
% 20.34/13.96 tff(21420,plain,
% 20.34/13.96 (v123(constB180, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21419, 21415])).
% 20.34/13.96 tff(21421,plain,
% 20.34/13.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21422,plain,
% 20.34/13.96 ((v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1))) <=> (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21423,plain,
% 20.34/13.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180))))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21422])).
% 20.34/13.96 tff(21424,plain,
% 20.34/13.96 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21423, 21421])).
% 20.34/13.96 tff(21425,plain,
% 20.34/13.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21426,plain,
% 20.34/13.96 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21425, 21424])).
% 20.34/13.96 tff(21427,plain,
% 20.34/13.96 (v84(constB180, bitIndex1) | (~v94(constB180))),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21426, 834, 21420])).
% 20.34/13.96 tff(21428,plain,
% 20.34/13.96 (v84(constB180, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21427, 21357])).
% 20.34/13.96 tff(21429,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21430,plain,
% 20.34/13.96 (((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1)) <=> ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21431,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1)))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21430])).
% 20.34/13.96 tff(21432,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21431, 21429])).
% 20.34/13.96 tff(21433,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21434,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21433, 21432])).
% 20.34/13.96 tff(21435,plain,
% 20.34/13.96 ((~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21434, 852, 21385])).
% 20.34/13.96 tff(21436,plain,
% 20.34/13.96 ((~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21435, 21397])).
% 20.34/13.96 tff(21437,plain,
% 20.34/13.96 (v84(constB181, bitIndex1)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21436, 21428])).
% 20.34/13.96 tff(21438,plain,
% 20.34/13.96 (((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB179)) | (~v124(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB179)) | (~v124(constB179, bitIndex0)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21439,plain,
% 20.34/13.96 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB179)) | (~v124(constB179, bitIndex0)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21440,plain,
% 20.34/13.96 ((~![VarCurr: $i] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB179)) | (~v124(constB179, bitIndex0))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 20.34/13.96 tff(21441,plain,
% 20.34/13.96 (~v124(constB179, bitIndex0)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21440, 1850, 21299])).
% 20.34/13.96 tff(21442,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21443,plain,
% 20.34/13.96 ((v26(constB179) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0))) <=> ((~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21444,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB179) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0)))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21443])).
% 20.34/13.96 tff(21445,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB179) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21444, 21442])).
% 20.34/13.96 tff(21446,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB179) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21447,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21446, 21445])).
% 20.34/13.96 tff(21448,plain,
% 20.34/13.96 ((~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21447, 885, 21311])).
% 20.34/13.96 tff(21449,plain,
% 20.34/13.96 (~v121(constB179, bitIndex0)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21448, 21441])).
% 20.34/13.96 tff(21450,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21451,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21452,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 20.34/13.96 tff(21453,plain,
% 20.34/13.96 (v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0))),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21452, 903, 21323])).
% 20.34/13.96 tff(21454,plain,
% 20.34/13.96 (~v123(constB180, bitIndex0)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21453, 21449])).
% 20.34/13.96 tff(21455,plain,
% 20.34/13.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21456,plain,
% 20.34/13.96 (((~v84(constB180, bitIndex0)) | (~v94(constB180)) | v123(constB180, bitIndex0)) <=> ((~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21457,plain,
% 20.34/13.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~v94(constB180)) | v123(constB180, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180))))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21456])).
% 20.34/13.96 tff(21458,plain,
% 20.34/13.96 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~v94(constB180)) | v123(constB180, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180)))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21457, 21455])).
% 20.34/13.96 tff(21459,plain,
% 20.34/13.96 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~v94(constB180)) | v123(constB180, bitIndex0))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21460,plain,
% 20.34/13.96 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 20.34/13.96 tff(21461,plain,
% 20.34/13.96 ((~v84(constB180, bitIndex0)) | (~v94(constB180))),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21460, 918, 21454])).
% 20.34/13.96 tff(21462,plain,
% 20.34/13.96 (~v84(constB180, bitIndex0)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21461, 21357])).
% 20.34/13.96 tff(21463,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21464,plain,
% 20.34/13.96 (((~nextState(constB180, constB181)) | v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0))) <=> (v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21465,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0))))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21464])).
% 20.34/13.96 tff(21466,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0)))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21465, 21463])).
% 20.34/13.96 tff(21467,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21468,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21467, 21466])).
% 20.34/13.96 tff(21469,plain,
% 20.34/13.96 (v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0))),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21468, 163, 21385])).
% 20.34/13.96 tff(21470,plain,
% 20.34/13.96 (v84(constB180, bitIndex0) | (~v84(constB181, bitIndex0))),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21469, 21397])).
% 20.34/13.96 tff(21471,plain,
% 20.34/13.96 (~v84(constB181, bitIndex0)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21470, 21462])).
% 20.34/13.96 tff(21472,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21473,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21474,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21473, 21472])).
% 20.34/13.96 tff(21475,plain,
% 20.34/13.96 (v119(constB181)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21474, 1894, 21471, 21437, 21406])).
% 20.34/13.96 tff(21476,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB181) | (~v119(constB181)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB181) | (~v119(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21477,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB181) | (~v119(constB181)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21478,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB181) | (~v119(constB181))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21477, 21476])).
% 20.34/13.96 tff(21479,plain,
% 20.34/13.96 (v107(constB181)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21478, 1905, 21475])).
% 20.34/13.96 tff(21480,assumption,(v26(constB181)), introduced(assumption)).
% 20.34/13.96 tff(21481,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21482,plain,
% 20.34/13.96 ($false),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21481, 18, 21480])).
% 20.34/13.96 tff(21483,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 20.34/13.96 tff(21484,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21485,plain,
% 20.34/13.96 ((v26(constB181) | (~v107(constB181)) | v106(constB181)) <=> (v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21486,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181))))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21485])).
% 20.34/13.96 tff(21487,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21486, 21484])).
% 20.34/13.96 tff(21488,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21489,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21488, 21487])).
% 20.34/13.96 tff(21490,plain,
% 20.34/13.96 (v106(constB181) | (~v107(constB181))),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21489, 264, 21483])).
% 20.34/13.96 tff(21491,plain,
% 20.34/13.96 (v106(constB181)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21490, 21479])).
% 20.34/13.96 tff(21492,plain,
% 20.34/13.96 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB181) | (~v106(constB181)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB181) | (~v106(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21493,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB181) | (~v106(constB181)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21494,plain,
% 20.34/13.96 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB181) | (~v106(constB181))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21493, 21492])).
% 20.34/13.96 tff(21495,plain,
% 20.34/13.96 (v102(constB181)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21494, 276, 21491])).
% 20.34/13.96 tff(21496,plain,
% 20.34/13.96 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21497,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 20.34/13.96 tff(21498,plain,
% 20.34/13.96 (nextState(constB181, constB182)),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21497, 21496])).
% 20.34/13.96 tff(21499,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21500,plain,
% 20.34/13.96 (((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21501,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))))),
% 20.34/13.96 inference(monotonicity,[status(thm)],[21500])).
% 20.34/13.96 tff(21502,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 20.34/13.96 inference(transitivity,[status(thm)],[21501, 21499])).
% 20.34/13.96 tff(21503,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21504,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21503, 21502])).
% 20.34/13.96 tff(21505,plain,
% 20.34/13.96 (v104(constB182) | (~v102(constB181))),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21504, 293, 21498])).
% 20.34/13.96 tff(21506,plain,
% 20.34/13.96 (v104(constB182)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21505, 21495])).
% 20.34/13.96 tff(21507,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21508,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.96 tff(21509,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182))),
% 20.34/13.96 inference(modus_ponens,[status(thm)],[21508, 21507])).
% 20.34/13.96 tff(21510,plain,
% 20.34/13.96 (~v98(constB182)),
% 20.34/13.96 inference(unit_resolution,[status(thm)],[21509, 311, 21498, 21382])).
% 20.34/13.96 tff(21511,plain,
% 20.34/13.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 20.34/13.96 inference(rewrite,[status(thm)],[])).
% 20.34/13.96 tff(21512,plain,
% 20.34/13.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 20.34/13.96 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21513,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182)),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 20.34/13.97 tff(21514,plain,
% 20.34/13.97 (v96(constB182) | v98(constB182)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21513, 325, 21498])).
% 20.34/13.97 tff(21515,plain,
% 20.34/13.97 (v96(constB182)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21514, 21510])).
% 20.34/13.97 tff(21516,plain,
% 20.34/13.97 (v1(constB182) <=> v1(constB182)),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21517,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 20.34/13.97 tff(21518,plain,
% 20.34/13.97 (v1(constB182)),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21517, 21516])).
% 20.34/13.97 tff(21519,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21520,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21521,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21520, 21519])).
% 20.34/13.97 tff(21522,plain,
% 20.34/13.97 (v95(constB182) | (~v96(constB182))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21521, 343, 21498, 21518])).
% 20.34/13.97 tff(21523,plain,
% 20.34/13.97 (v95(constB182)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21522, 21515])).
% 20.34/13.97 tff(21524,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21525,plain,
% 20.34/13.97 (((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182)) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21526,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182))))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21525])).
% 20.34/13.97 tff(21527,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21526, 21524])).
% 20.34/13.97 tff(21528,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21529,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21528, 21527])).
% 20.34/13.97 tff(21530,plain,
% 20.34/13.97 (v94(constB182) | (~v95(constB182)) | (~v104(constB182))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21529, 358, 21498])).
% 20.34/13.97 tff(21531,plain,
% 20.34/13.97 (v94(constB182) | (~v104(constB182))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21530, 21523])).
% 20.34/13.97 tff(21532,plain,
% 20.34/13.97 (v94(constB182)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21531, 21506])).
% 20.34/13.97 tff(21533,plain,
% 20.34/13.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v116(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB181, bitIndex2)) | (~v116(constB181)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21534,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v116(constB181)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21535,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB181, bitIndex2)) | (~v116(constB181))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21534, 21533])).
% 20.34/13.97 tff(21536,plain,
% 20.34/13.97 (~v116(constB181)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21535, 1976, 21406])).
% 20.34/13.97 tff(21537,plain,
% 20.34/13.97 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB181)) | (~v84(constB181, bitIndex1)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21538,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex1)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21539,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB181)) | (~v84(constB181, bitIndex1))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21538, 21537])).
% 20.34/13.97 tff(21540,plain,
% 20.34/13.97 (~v113(constB181)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21539, 1990, 21437])).
% 20.34/13.97 tff(21541,plain,
% 20.34/13.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v118(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v118(constB181)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21542,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v118(constB181)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21543,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v118(constB181))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21542, 21541])).
% 20.34/13.97 tff(21544,plain,
% 20.34/13.97 (~v118(constB181)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21543, 2001, 21437])).
% 20.34/13.97 tff(21545,plain,
% 20.34/13.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v172(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v172(constB181)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21546,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v172(constB181)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21547,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v172(constB181))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21546, 21545])).
% 20.34/13.97 tff(21548,plain,
% 20.34/13.97 (~v172(constB181)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21547, 2023, 21437])).
% 20.34/13.97 tff(21549,plain,
% 20.34/13.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v115(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB181, bitIndex2)) | (~v115(constB181)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21550,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v115(constB181)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21551,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB181, bitIndex2)) | (~v115(constB181))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21550, 21549])).
% 20.34/13.97 tff(21552,plain,
% 20.34/13.97 (~v115(constB181)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21551, 1965, 21406])).
% 20.34/13.97 tff(21553,plain,
% 20.34/13.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v145(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v145(constB181)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21554,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v145(constB181)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21555,plain,
% 20.34/13.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v145(constB181))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21554, 21553])).
% 20.34/13.97 tff(21556,plain,
% 20.34/13.97 (~v145(constB181)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21555, 2012, 21437])).
% 20.34/13.97 tff(21557,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21558,plain,
% 20.34/13.97 ((v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex2))) <=> ((~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21559,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21558])).
% 20.34/13.97 tff(21560,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21559, 21557])).
% 20.34/13.97 tff(21561,plain,
% 20.34/13.97 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex2)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21562,plain,
% 20.34/13.97 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21561, 21560])).
% 20.34/13.97 tff(21563,plain,
% 20.34/13.97 (~v124(constB181, bitIndex2)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21562, 2037, 21556, 21552, 21548, 21544, 21540, 21536])).
% 20.34/13.97 tff(21564,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21565,plain,
% 20.34/13.97 ((v26(constB181) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2))) <=> ((~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21566,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB181) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2)))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21565])).
% 20.34/13.97 tff(21567,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB181) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21566, 21564])).
% 20.34/13.97 tff(21568,plain,
% 20.34/13.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB181) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21569,plain,
% 20.34/13.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2)),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21568, 21567])).
% 20.34/13.97 tff(21570,plain,
% 20.34/13.97 ((~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21569, 391, 21483])).
% 20.34/13.97 tff(21571,plain,
% 20.34/13.97 (~v121(constB181, bitIndex2)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21570, 21563])).
% 20.34/13.97 tff(21572,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21573,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21574,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21573, 21572])).
% 20.34/13.97 tff(21575,plain,
% 20.34/13.97 (v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21574, 409, 21498])).
% 20.34/13.97 tff(21576,plain,
% 20.34/13.97 (~v123(constB182, bitIndex2)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21575, 21571])).
% 20.34/13.97 tff(21577,plain,
% 20.34/13.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21578,plain,
% 20.34/13.97 (((~v84(constB182, bitIndex2)) | (~v94(constB182)) | v123(constB182, bitIndex2)) <=> ((~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21579,plain,
% 20.34/13.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | (~v94(constB182)) | v123(constB182, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182))))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21578])).
% 20.34/13.97 tff(21580,plain,
% 20.34/13.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | (~v94(constB182)) | v123(constB182, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182)))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21579, 21577])).
% 20.34/13.97 tff(21581,plain,
% 20.34/13.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB182, bitIndex2)) | (~v94(constB182)) | v123(constB182, bitIndex2))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21582,plain,
% 20.34/13.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21581, 21580])).
% 20.34/13.97 tff(21583,plain,
% 20.34/13.97 ((~v84(constB182, bitIndex2)) | (~v94(constB182))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21582, 424, 21576])).
% 20.34/13.97 tff(21584,plain,
% 20.34/13.97 (~v84(constB182, bitIndex2)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21583, 21532])).
% 20.34/13.97 tff(21585,plain,
% 20.34/13.97 ((~v1(constB183)) <=> (~v1(constB183))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21586,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 20.34/13.97 tff(21587,plain,
% 20.34/13.97 (~v1(constB183)),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21586, 21585])).
% 20.34/13.97 tff(21588,plain,
% 20.34/13.97 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21589,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 20.34/13.97 tff(21590,plain,
% 20.34/13.97 (nextState(constB182, constB183)),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 20.34/13.97 tff(21591,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21592,plain,
% 20.34/13.97 (((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21593,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21592])).
% 20.34/13.97 tff(21594,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21593, 21591])).
% 20.34/13.97 tff(21595,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21596,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21595, 21594])).
% 20.34/13.97 tff(21597,plain,
% 20.34/13.97 (~v95(constB183)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21596, 89, 21590, 21587])).
% 20.34/13.97 tff(21598,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21599,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21600,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 20.34/13.97 tff(21601,plain,
% 20.34/13.97 (v95(constB183) | (~v94(constB183))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21600, 106, 21590])).
% 20.34/13.97 tff(21602,plain,
% 20.34/13.97 (~v94(constB183)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21601, 21597])).
% 20.34/13.97 tff(21603,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21604,plain,
% 20.34/13.97 (((~nextState(constB182, constB183)) | v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2))) <=> (v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21605,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2))))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21604])).
% 20.34/13.97 tff(21606,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2)))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21605, 21603])).
% 20.34/13.97 tff(21607,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21608,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21607, 21606])).
% 20.34/13.97 tff(21609,plain,
% 20.34/13.97 (v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21608, 121, 21590])).
% 20.34/13.97 tff(21610,plain,
% 20.34/13.97 (v84(constB182, bitIndex2) | (~v84(constB183, bitIndex2))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21609, 21602])).
% 20.34/13.97 tff(21611,plain,
% 20.34/13.97 (~v84(constB183, bitIndex2)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21610, 21584])).
% 20.34/13.97 tff(21612,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21613,plain,
% 20.34/13.97 ((v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex1))) <=> ((~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21614,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21613])).
% 20.34/13.97 tff(21615,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21614, 21612])).
% 20.34/13.97 tff(21616,plain,
% 20.34/13.97 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex1)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21617,plain,
% 20.34/13.97 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21616, 21615])).
% 20.34/13.97 tff(21618,plain,
% 20.34/13.97 (~v124(constB181, bitIndex1)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21617, 2102, 21556, 21552, 21548, 21544, 21540, 21536])).
% 20.34/13.97 tff(21619,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21620,plain,
% 20.34/13.97 ((v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1))) <=> ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21621,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1)))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21620])).
% 20.34/13.97 tff(21622,plain,
% 20.34/13.97 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21621, 21619])).
% 20.34/13.97 tff(21623,plain,
% 20.34/13.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21624,plain,
% 20.34/13.97 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1)),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21623, 21622])).
% 20.34/13.97 tff(21625,plain,
% 20.34/13.97 ((~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21624, 483, 21483])).
% 20.34/13.97 tff(21626,plain,
% 20.34/13.97 (~v121(constB181, bitIndex1)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21625, 21618])).
% 20.34/13.97 tff(21627,plain,
% 20.34/13.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21628,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21629,plain,
% 20.34/13.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21628, 21627])).
% 20.34/13.97 tff(21630,plain,
% 20.34/13.97 (v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21629, 501, 21498])).
% 20.34/13.97 tff(21631,plain,
% 20.34/13.97 (~v123(constB182, bitIndex1)),
% 20.34/13.97 inference(unit_resolution,[status(thm)],[21630, 21626])).
% 20.34/13.97 tff(21632,plain,
% 20.34/13.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21633,plain,
% 20.34/13.97 (((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1)) <=> ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 20.34/13.97 inference(rewrite,[status(thm)],[])).
% 20.34/13.97 tff(21634,plain,
% 20.34/13.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182))))),
% 20.34/13.97 inference(monotonicity,[status(thm)],[21633])).
% 20.34/13.97 tff(21635,plain,
% 20.34/13.97 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 20.34/13.97 inference(transitivity,[status(thm)],[21634, 21632])).
% 20.34/13.97 tff(21636,plain,
% 20.34/13.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))),
% 20.34/13.97 inference(quant_inst,[status(thm)],[])).
% 20.34/13.97 tff(21637,plain,
% 20.34/13.97 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182))),
% 20.34/13.97 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 20.34/13.98 tff(21638,plain,
% 20.34/13.98 ((~v84(constB182, bitIndex1)) | (~v94(constB182))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21637, 516, 21631])).
% 20.34/13.98 tff(21639,plain,
% 20.34/13.98 (~v84(constB182, bitIndex1)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21638, 21532])).
% 20.34/13.98 tff(21640,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21641,plain,
% 20.34/13.98 (((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1))) <=> (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21642,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1))))),
% 20.34/13.98 inference(monotonicity,[status(thm)],[21641])).
% 20.34/13.98 tff(21643,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 20.34/13.98 inference(transitivity,[status(thm)],[21642, 21640])).
% 20.34/13.98 tff(21644,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21645,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 20.34/13.98 tff(21646,plain,
% 20.34/13.98 (v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21645, 142, 21590])).
% 20.34/13.98 tff(21647,plain,
% 20.34/13.98 (v84(constB182, bitIndex1) | (~v84(constB183, bitIndex1))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21646, 21602])).
% 20.34/13.98 tff(21648,plain,
% 20.34/13.98 (~v84(constB183, bitIndex1)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21647, 21639])).
% 20.34/13.98 tff(21649,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21650,plain,
% 20.34/13.98 ((v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | v124(constB181, bitIndex0)) <=> (v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21651,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | v124(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)))),
% 20.34/13.98 inference(monotonicity,[status(thm)],[21650])).
% 20.34/13.98 tff(21652,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | v124(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 20.34/13.98 inference(transitivity,[status(thm)],[21651, 21649])).
% 20.34/13.98 tff(21653,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | v124(constB181, bitIndex0))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21654,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21653, 21652])).
% 20.34/13.98 tff(21655,plain,
% 20.34/13.98 (v124(constB181, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21654, 2149, 21556, 21552, 21548, 21544, 21540, 21536])).
% 20.34/13.98 tff(21656,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB181) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB181) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21657,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB181) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21658,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB181) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0)),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 20.34/13.98 tff(21659,plain,
% 20.34/13.98 ((~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21658, 557, 21483])).
% 20.34/13.98 tff(21660,plain,
% 20.34/13.98 (v121(constB181, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21659, 21655])).
% 20.34/13.98 tff(21661,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21662,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21663,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0)),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 20.34/13.98 tff(21664,plain,
% 20.34/13.98 ((~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21663, 572, 21498])).
% 20.34/13.98 tff(21665,plain,
% 20.34/13.98 (v123(constB182, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21664, 21660])).
% 20.34/13.98 tff(21666,plain,
% 20.34/13.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21667,plain,
% 20.34/13.98 ((v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0))) <=> (v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21668,plain,
% 20.34/13.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182))))),
% 20.34/13.98 inference(monotonicity,[status(thm)],[21667])).
% 20.34/13.98 tff(21669,plain,
% 20.34/13.98 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182)))),
% 20.34/13.98 inference(transitivity,[status(thm)],[21668, 21666])).
% 20.34/13.98 tff(21670,plain,
% 20.34/13.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21671,plain,
% 20.34/13.98 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21670, 21669])).
% 20.34/13.98 tff(21672,plain,
% 20.34/13.98 (v84(constB182, bitIndex0) | (~v94(constB182))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21671, 587, 21665])).
% 20.34/13.98 tff(21673,plain,
% 20.34/13.98 (v84(constB182, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21672, 21532])).
% 20.34/13.98 tff(21674,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21675,plain,
% 20.34/13.98 (((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0)) <=> ((~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21676,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0)))),
% 20.34/13.98 inference(monotonicity,[status(thm)],[21675])).
% 20.34/13.98 tff(21677,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0))),
% 20.34/13.98 inference(transitivity,[status(thm)],[21676, 21674])).
% 20.34/13.98 tff(21678,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21679,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0)),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21678, 21677])).
% 20.34/13.98 tff(21680,plain,
% 20.34/13.98 ((~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21679, 605, 21590])).
% 20.34/13.98 tff(21681,plain,
% 20.34/13.98 ((~v84(constB182, bitIndex0)) | v84(constB183, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21680, 21602])).
% 20.34/13.98 tff(21682,plain,
% 20.34/13.98 (v84(constB183, bitIndex0)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21681, 21673])).
% 20.34/13.98 tff(21683,plain,
% 20.34/13.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21684,plain,
% 20.34/13.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21685,plain,
% 20.34/13.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183)),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 20.34/13.98 tff(21686,plain,
% 20.34/13.98 (v145(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21685, 624, 21682, 21648, 21611])).
% 20.34/13.98 tff(21687,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB183) | (~v145(constB183)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB183) | (~v145(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21688,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB183) | (~v145(constB183)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21689,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB183) | (~v145(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 20.34/13.98 tff(21690,plain,
% 20.34/13.98 (v112(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21689, 681, 21686])).
% 20.34/13.98 tff(21691,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB183) | (~v112(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21692,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB183) | (~v112(constB183)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21693,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB183) | (~v112(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 20.34/13.98 tff(21694,plain,
% 20.34/13.98 (v111(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21693, 206, 21690])).
% 20.34/13.98 tff(21695,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB183) | (~v111(constB183)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB183) | (~v111(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21696,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB183) | (~v111(constB183)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21697,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB183) | (~v111(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21696, 21695])).
% 20.34/13.98 tff(21698,plain,
% 20.34/13.98 (v110(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21697, 217, 21694])).
% 20.34/13.98 tff(21699,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB183) | (~v110(constB183)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB183) | (~v110(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21700,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB183) | (~v110(constB183)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21701,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB183) | (~v110(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21700, 21699])).
% 20.34/13.98 tff(21702,plain,
% 20.34/13.98 (v109(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21701, 228, 21698])).
% 20.34/13.98 tff(21703,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB183) | (~v109(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB183) | (~v109(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21704,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB183) | (~v109(constB183)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21705,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB183) | (~v109(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 20.34/13.98 tff(21706,plain,
% 20.34/13.98 (v108(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21705, 239, 21702])).
% 20.34/13.98 tff(21707,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB183) | (~v108(constB183)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB183) | (~v108(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21708,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB183) | (~v108(constB183)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21709,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB183) | (~v108(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21708, 21707])).
% 20.34/13.98 tff(21710,plain,
% 20.34/13.98 (v107(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21709, 250, 21706])).
% 20.34/13.98 tff(21711,assumption,(v26(constB183)), introduced(assumption)).
% 20.34/13.98 tff(21712,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21713,plain,
% 20.34/13.98 ($false),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21712, 18, 21711])).
% 20.34/13.98 tff(21714,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 20.34/13.98 tff(21715,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21716,plain,
% 20.34/13.98 ((v26(constB183) | (~v107(constB183)) | v106(constB183)) <=> (v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21717,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183))))),
% 20.34/13.98 inference(monotonicity,[status(thm)],[21716])).
% 20.34/13.98 tff(21718,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 20.34/13.98 inference(transitivity,[status(thm)],[21717, 21715])).
% 20.34/13.98 tff(21719,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21720,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21719, 21718])).
% 20.34/13.98 tff(21721,plain,
% 20.34/13.98 (v106(constB183) | (~v107(constB183))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21720, 264, 21714])).
% 20.34/13.98 tff(21722,plain,
% 20.34/13.98 (v106(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21721, 21710])).
% 20.34/13.98 tff(21723,plain,
% 20.34/13.98 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB183) | (~v106(constB183)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB183) | (~v106(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21724,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB183) | (~v106(constB183)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21725,plain,
% 20.34/13.98 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB183) | (~v106(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21724, 21723])).
% 20.34/13.98 tff(21726,plain,
% 20.34/13.98 (v102(constB183)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21725, 276, 21722])).
% 20.34/13.98 tff(21727,plain,
% 20.34/13.98 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21728,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 20.34/13.98 tff(21729,plain,
% 20.34/13.98 (nextState(constB183, constB184)),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21728, 21727])).
% 20.34/13.98 tff(21730,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21731,plain,
% 20.34/13.98 (((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21732,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))))),
% 20.34/13.98 inference(monotonicity,[status(thm)],[21731])).
% 20.34/13.98 tff(21733,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 20.34/13.98 inference(transitivity,[status(thm)],[21732, 21730])).
% 20.34/13.98 tff(21734,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21735,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21734, 21733])).
% 20.34/13.98 tff(21736,plain,
% 20.34/13.98 (v104(constB184) | (~v102(constB183))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21735, 293, 21729])).
% 20.34/13.98 tff(21737,plain,
% 20.34/13.98 (v104(constB184)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21736, 21726])).
% 20.34/13.98 tff(21738,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21739,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21740,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21739, 21738])).
% 20.34/13.98 tff(21741,plain,
% 20.34/13.98 (~v98(constB184)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21740, 311, 21729, 21587])).
% 20.34/13.98 tff(21742,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21743,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21744,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184)),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21743, 21742])).
% 20.34/13.98 tff(21745,plain,
% 20.34/13.98 (v96(constB184) | v98(constB184)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21744, 325, 21729])).
% 20.34/13.98 tff(21746,plain,
% 20.34/13.98 (v96(constB184)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21745, 21741])).
% 20.34/13.98 tff(21747,plain,
% 20.34/13.98 (v1(constB184) <=> v1(constB184)),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21748,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 20.34/13.98 tff(21749,plain,
% 20.34/13.98 (v1(constB184)),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 20.34/13.98 tff(21750,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21751,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21752,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21751, 21750])).
% 20.34/13.98 tff(21753,plain,
% 20.34/13.98 (v95(constB184) | (~v96(constB184))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21752, 343, 21729, 21749])).
% 20.34/13.98 tff(21754,plain,
% 20.34/13.98 (v95(constB184)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21753, 21746])).
% 20.34/13.98 tff(21755,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21756,plain,
% 20.34/13.98 (((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184)) <=> ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21757,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184))))),
% 20.34/13.98 inference(monotonicity,[status(thm)],[21756])).
% 20.34/13.98 tff(21758,plain,
% 20.34/13.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 20.34/13.98 inference(transitivity,[status(thm)],[21757, 21755])).
% 20.34/13.98 tff(21759,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21760,plain,
% 20.34/13.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21759, 21758])).
% 20.34/13.98 tff(21761,plain,
% 20.34/13.98 (v94(constB184) | (~v95(constB184)) | (~v104(constB184))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21760, 358, 21729])).
% 20.34/13.98 tff(21762,plain,
% 20.34/13.98 (v94(constB184) | (~v104(constB184))),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21761, 21754])).
% 20.34/13.98 tff(21763,plain,
% 20.34/13.98 (v94(constB184)),
% 20.34/13.98 inference(unit_resolution,[status(thm)],[21762, 21737])).
% 20.34/13.98 tff(21764,plain,
% 20.34/13.98 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB183)) | (~v124(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB183)) | (~v124(constB183, bitIndex2)))),
% 20.34/13.98 inference(rewrite,[status(thm)],[])).
% 20.34/13.98 tff(21765,plain,
% 20.34/13.98 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB183)) | (~v124(constB183, bitIndex2)))),
% 20.34/13.98 inference(quant_inst,[status(thm)],[])).
% 20.34/13.98 tff(21766,plain,
% 20.34/13.98 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB183)) | (~v124(constB183, bitIndex2))),
% 20.34/13.98 inference(modus_ponens,[status(thm)],[21765, 21764])).
% 20.34/13.99 tff(21767,plain,
% 20.34/13.99 (~v124(constB183, bitIndex2)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21766, 638, 21686])).
% 20.34/13.99 tff(21768,plain,
% 20.34/13.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21769,plain,
% 20.34/13.99 ((v26(constB183) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2))) <=> ((~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21770,plain,
% 20.34/13.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB183) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2)))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21769])).
% 20.34/13.99 tff(21771,plain,
% 20.34/13.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB183) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21770, 21768])).
% 20.34/13.99 tff(21772,plain,
% 20.34/13.99 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB183) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21773,plain,
% 20.34/13.99 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2)),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21772, 21771])).
% 20.34/13.99 tff(21774,plain,
% 20.34/13.99 ((~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21773, 391, 21714])).
% 20.34/13.99 tff(21775,plain,
% 20.34/13.99 (~v121(constB183, bitIndex2)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21774, 21767])).
% 20.34/13.99 tff(21776,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21777,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21778,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21777, 21776])).
% 20.34/13.99 tff(21779,plain,
% 20.34/13.99 (v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21778, 409, 21729])).
% 20.34/13.99 tff(21780,plain,
% 20.34/13.99 (~v123(constB184, bitIndex2)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21779, 21775])).
% 20.34/13.99 tff(21781,plain,
% 20.34/13.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21782,plain,
% 20.34/13.99 (((~v84(constB184, bitIndex2)) | (~v94(constB184)) | v123(constB184, bitIndex2)) <=> ((~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21783,plain,
% 20.34/13.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | (~v94(constB184)) | v123(constB184, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184))))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21782])).
% 20.34/13.99 tff(21784,plain,
% 20.34/13.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | (~v94(constB184)) | v123(constB184, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184)))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21783, 21781])).
% 20.34/13.99 tff(21785,plain,
% 20.34/13.99 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB184, bitIndex2)) | (~v94(constB184)) | v123(constB184, bitIndex2))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21786,plain,
% 20.34/13.99 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21785, 21784])).
% 20.34/13.99 tff(21787,plain,
% 20.34/13.99 ((~v84(constB184, bitIndex2)) | (~v94(constB184))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21786, 424, 21780])).
% 20.34/13.99 tff(21788,plain,
% 20.34/13.99 (~v84(constB184, bitIndex2)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21787, 21763])).
% 20.34/13.99 tff(21789,plain,
% 20.34/13.99 ((~v1(constB185)) <=> (~v1(constB185))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21790,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 20.34/13.99 tff(21791,plain,
% 20.34/13.99 (~v1(constB185)),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21790, 21789])).
% 20.34/13.99 tff(21792,plain,
% 20.34/13.99 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21793,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 20.34/13.99 tff(21794,plain,
% 20.34/13.99 (nextState(constB184, constB185)),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21793, 21792])).
% 20.34/13.99 tff(21795,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21796,plain,
% 20.34/13.99 (((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21797,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21796])).
% 20.34/13.99 tff(21798,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21797, 21795])).
% 20.34/13.99 tff(21799,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21800,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21799, 21798])).
% 20.34/13.99 tff(21801,plain,
% 20.34/13.99 (~v95(constB185)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21800, 89, 21794, 21791])).
% 20.34/13.99 tff(21802,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21803,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21804,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 20.34/13.99 tff(21805,plain,
% 20.34/13.99 (v95(constB185) | (~v94(constB185))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21804, 106, 21794])).
% 20.34/13.99 tff(21806,plain,
% 20.34/13.99 (~v94(constB185)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21805, 21801])).
% 20.34/13.99 tff(21807,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21808,plain,
% 20.34/13.99 (((~nextState(constB184, constB185)) | v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2))) <=> (v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21809,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2))))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21808])).
% 20.34/13.99 tff(21810,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2)))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21809, 21807])).
% 20.34/13.99 tff(21811,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21812,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21811, 21810])).
% 20.34/13.99 tff(21813,plain,
% 20.34/13.99 (v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21812, 121, 21794])).
% 20.34/13.99 tff(21814,plain,
% 20.34/13.99 (v84(constB184, bitIndex2) | (~v84(constB185, bitIndex2))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21813, 21806])).
% 20.34/13.99 tff(21815,plain,
% 20.34/13.99 (~v84(constB185, bitIndex2)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21814, 21788])).
% 20.34/13.99 tff(21816,plain,
% 20.34/13.99 (((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB183)) | v124(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB183)) | v124(constB183, bitIndex1))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21817,plain,
% 20.34/13.99 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB183)) | v124(constB183, bitIndex1))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21818,plain,
% 20.34/13.99 ((~![VarCurr: $i] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB183)) | v124(constB183, bitIndex1)),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21817, 21816])).
% 20.34/13.99 tff(21819,plain,
% 20.34/13.99 (v124(constB183, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21818, 790, 21686])).
% 20.34/13.99 tff(21820,plain,
% 20.34/13.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21821,plain,
% 20.34/13.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21822,plain,
% 20.34/13.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21821, 21820])).
% 20.34/13.99 tff(21823,plain,
% 20.34/13.99 ((~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21822, 804, 21714])).
% 20.34/13.99 tff(21824,plain,
% 20.34/13.99 (v121(constB183, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21823, 21819])).
% 20.34/13.99 tff(21825,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21826,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21827,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1)),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21826, 21825])).
% 20.34/13.99 tff(21828,plain,
% 20.34/13.99 ((~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21827, 819, 21729])).
% 20.34/13.99 tff(21829,plain,
% 20.34/13.99 (v123(constB184, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21828, 21824])).
% 20.34/13.99 tff(21830,plain,
% 20.34/13.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21831,plain,
% 20.34/13.99 ((v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1))) <=> (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21832,plain,
% 20.34/13.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184))))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21831])).
% 20.34/13.99 tff(21833,plain,
% 20.34/13.99 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21832, 21830])).
% 20.34/13.99 tff(21834,plain,
% 20.34/13.99 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21835,plain,
% 20.34/13.99 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21834, 21833])).
% 20.34/13.99 tff(21836,plain,
% 20.34/13.99 (v84(constB184, bitIndex1) | (~v94(constB184))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21835, 834, 21829])).
% 20.34/13.99 tff(21837,plain,
% 20.34/13.99 (v84(constB184, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21836, 21763])).
% 20.34/13.99 tff(21838,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21839,plain,
% 20.34/13.99 (((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1)) <=> ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21840,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1)))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21839])).
% 20.34/13.99 tff(21841,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21840, 21838])).
% 20.34/13.99 tff(21842,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21843,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1)),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 20.34/13.99 tff(21844,plain,
% 20.34/13.99 ((~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21843, 852, 21794])).
% 20.34/13.99 tff(21845,plain,
% 20.34/13.99 ((~v84(constB184, bitIndex1)) | v84(constB185, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21844, 21806])).
% 20.34/13.99 tff(21846,plain,
% 20.34/13.99 (v84(constB185, bitIndex1)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21845, 21837])).
% 20.34/13.99 tff(21847,plain,
% 20.34/13.99 (((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB183)) | (~v124(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB183)) | (~v124(constB183, bitIndex0)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21848,plain,
% 20.34/13.99 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB183)) | (~v124(constB183, bitIndex0)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21849,plain,
% 20.34/13.99 ((~![VarCurr: $i] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB183)) | (~v124(constB183, bitIndex0))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21848, 21847])).
% 20.34/13.99 tff(21850,plain,
% 20.34/13.99 (~v124(constB183, bitIndex0)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21849, 871, 21686])).
% 20.34/13.99 tff(21851,plain,
% 20.34/13.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21852,plain,
% 20.34/13.99 ((v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0))) <=> ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21853,plain,
% 20.34/13.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0)))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21852])).
% 20.34/13.99 tff(21854,plain,
% 20.34/13.99 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21853, 21851])).
% 20.34/13.99 tff(21855,plain,
% 20.34/13.99 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21856,plain,
% 20.34/13.99 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0)),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21855, 21854])).
% 20.34/13.99 tff(21857,plain,
% 20.34/13.99 ((~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21856, 885, 21714])).
% 20.34/13.99 tff(21858,plain,
% 20.34/13.99 (~v121(constB183, bitIndex0)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21857, 21850])).
% 20.34/13.99 tff(21859,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21860,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21861,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21860, 21859])).
% 20.34/13.99 tff(21862,plain,
% 20.34/13.99 (v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21861, 903, 21729])).
% 20.34/13.99 tff(21863,plain,
% 20.34/13.99 (~v123(constB184, bitIndex0)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21862, 21858])).
% 20.34/13.99 tff(21864,plain,
% 20.34/13.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21865,plain,
% 20.34/13.99 (((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0)) <=> ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21866,plain,
% 20.34/13.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184))))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21865])).
% 20.34/13.99 tff(21867,plain,
% 20.34/13.99 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21866, 21864])).
% 20.34/13.99 tff(21868,plain,
% 20.34/13.99 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21869,plain,
% 20.34/13.99 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21868, 21867])).
% 20.34/13.99 tff(21870,plain,
% 20.34/13.99 ((~v84(constB184, bitIndex0)) | (~v94(constB184))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21869, 918, 21863])).
% 20.34/13.99 tff(21871,plain,
% 20.34/13.99 (~v84(constB184, bitIndex0)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21870, 21763])).
% 20.34/13.99 tff(21872,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21873,plain,
% 20.34/13.99 (((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0))) <=> (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21874,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0))))),
% 20.34/13.99 inference(monotonicity,[status(thm)],[21873])).
% 20.34/13.99 tff(21875,plain,
% 20.34/13.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 20.34/13.99 inference(transitivity,[status(thm)],[21874, 21872])).
% 20.34/13.99 tff(21876,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21877,plain,
% 20.34/13.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0))),
% 20.34/13.99 inference(modus_ponens,[status(thm)],[21876, 21875])).
% 20.34/13.99 tff(21878,plain,
% 20.34/13.99 (v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21877, 163, 21794])).
% 20.34/13.99 tff(21879,plain,
% 20.34/13.99 (v84(constB184, bitIndex0) | (~v84(constB185, bitIndex0))),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21878, 21806])).
% 20.34/13.99 tff(21880,plain,
% 20.34/13.99 (~v84(constB185, bitIndex0)),
% 20.34/13.99 inference(unit_resolution,[status(thm)],[21879, 21871])).
% 20.34/13.99 tff(21881,plain,
% 20.34/13.99 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))),
% 20.34/13.99 inference(rewrite,[status(thm)],[])).
% 20.34/13.99 tff(21882,plain,
% 20.34/13.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))),
% 20.34/13.99 inference(quant_inst,[status(thm)],[])).
% 20.34/13.99 tff(21883,plain,
% 20.34/13.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 20.34/14.00 tff(21884,plain,
% 20.34/14.00 (v115(constB185)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21883, 945, 21880, 21846, 21815])).
% 20.34/14.00 tff(21885,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB185) | (~v115(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21886,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB185) | (~v115(constB185)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21887,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB185) | (~v115(constB185))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21886, 21885])).
% 20.34/14.00 tff(21888,plain,
% 20.34/14.00 (v111(constB185)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21887, 956, 21884])).
% 20.34/14.00 tff(21889,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB185) | (~v111(constB185)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB185) | (~v111(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21890,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB185) | (~v111(constB185)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21891,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB185) | (~v111(constB185))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21890, 21889])).
% 20.34/14.00 tff(21892,plain,
% 20.34/14.00 (v110(constB185)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21891, 217, 21888])).
% 20.34/14.00 tff(21893,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB185) | (~v110(constB185)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB185) | (~v110(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21894,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB185) | (~v110(constB185)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21895,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB185) | (~v110(constB185))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21894, 21893])).
% 20.34/14.00 tff(21896,plain,
% 20.34/14.00 (v109(constB185)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21895, 228, 21892])).
% 20.34/14.00 tff(21897,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB185) | (~v109(constB185)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB185) | (~v109(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21898,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB185) | (~v109(constB185)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21899,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB185) | (~v109(constB185))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21898, 21897])).
% 20.34/14.00 tff(21900,plain,
% 20.34/14.00 (v108(constB185)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21899, 239, 21896])).
% 20.34/14.00 tff(21901,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB185) | (~v108(constB185)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB185) | (~v108(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21902,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB185) | (~v108(constB185)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21903,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB185) | (~v108(constB185))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 20.34/14.00 tff(21904,plain,
% 20.34/14.00 (v107(constB185)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21903, 250, 21900])).
% 20.34/14.00 tff(21905,assumption,(v26(constB185)), introduced(assumption)).
% 20.34/14.00 tff(21906,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21907,plain,
% 20.34/14.00 ($false),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21906, 18, 21905])).
% 20.34/14.00 tff(21908,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 20.34/14.00 tff(21909,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | v106(constB185) | (~v107(constB185)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21910,plain,
% 20.34/14.00 ((v26(constB185) | (~v107(constB185)) | v106(constB185)) <=> (v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21911,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | v106(constB185) | (~v107(constB185))))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[21910])).
% 20.34/14.00 tff(21912,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 20.34/14.00 inference(transitivity,[status(thm)],[21911, 21909])).
% 20.34/14.00 tff(21913,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21914,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21913, 21912])).
% 20.34/14.00 tff(21915,plain,
% 20.34/14.00 (v106(constB185) | (~v107(constB185))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21914, 264, 21908])).
% 20.34/14.00 tff(21916,plain,
% 20.34/14.00 (v106(constB185)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21915, 21904])).
% 20.34/14.00 tff(21917,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB185) | (~v106(constB185)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB185) | (~v106(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21918,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB185) | (~v106(constB185)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21919,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB185) | (~v106(constB185))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21918, 21917])).
% 20.34/14.00 tff(21920,plain,
% 20.34/14.00 (v102(constB185)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21919, 276, 21916])).
% 20.34/14.00 tff(21921,plain,
% 20.34/14.00 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21922,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 20.34/14.00 tff(21923,plain,
% 20.34/14.00 (nextState(constB185, constB186)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21922, 21921])).
% 20.34/14.00 tff(21924,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21925,plain,
% 20.34/14.00 (((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21926,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[21925])).
% 20.34/14.00 tff(21927,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 20.34/14.00 inference(transitivity,[status(thm)],[21926, 21924])).
% 20.34/14.00 tff(21928,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21929,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21928, 21927])).
% 20.34/14.00 tff(21930,plain,
% 20.34/14.00 (v104(constB186) | (~v102(constB185))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21929, 293, 21923])).
% 20.34/14.00 tff(21931,plain,
% 20.34/14.00 (v104(constB186)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21930, 21920])).
% 20.34/14.00 tff(21932,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21933,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21934,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21933, 21932])).
% 20.34/14.00 tff(21935,plain,
% 20.34/14.00 (~v98(constB186)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21934, 311, 21923, 21791])).
% 20.34/14.00 tff(21936,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21937,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21938,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 20.34/14.00 tff(21939,plain,
% 20.34/14.00 (v96(constB186) | v98(constB186)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21938, 325, 21923])).
% 20.34/14.00 tff(21940,plain,
% 20.34/14.00 (v96(constB186)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21939, 21935])).
% 20.34/14.00 tff(21941,plain,
% 20.34/14.00 (v1(constB186) <=> v1(constB186)),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21942,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 20.34/14.00 tff(21943,plain,
% 20.34/14.00 (v1(constB186)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21942, 21941])).
% 20.34/14.00 tff(21944,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21945,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21946,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21945, 21944])).
% 20.34/14.00 tff(21947,plain,
% 20.34/14.00 (v95(constB186) | (~v96(constB186))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21946, 343, 21923, 21943])).
% 20.34/14.00 tff(21948,plain,
% 20.34/14.00 (v95(constB186)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21947, 21940])).
% 20.34/14.00 tff(21949,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21950,plain,
% 20.34/14.00 (((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186)) <=> ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21951,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186))))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[21950])).
% 20.34/14.00 tff(21952,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 20.34/14.00 inference(transitivity,[status(thm)],[21951, 21949])).
% 20.34/14.00 tff(21953,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21954,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 20.34/14.00 tff(21955,plain,
% 20.34/14.00 (v94(constB186) | (~v95(constB186)) | (~v104(constB186))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21954, 358, 21923])).
% 20.34/14.00 tff(21956,plain,
% 20.34/14.00 (v94(constB186) | (~v104(constB186))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21955, 21948])).
% 20.34/14.00 tff(21957,plain,
% 20.34/14.00 (v94(constB186)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21956, 21931])).
% 20.34/14.00 tff(21958,plain,
% 20.34/14.00 (((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB185)) | (~v124(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB185)) | (~v124(constB185, bitIndex2)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21959,plain,
% 20.34/14.00 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB185)) | (~v124(constB185, bitIndex2)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21960,plain,
% 20.34/14.00 ((~![VarCurr: $i] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB185)) | (~v124(constB185, bitIndex2))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21959, 21958])).
% 20.34/14.00 tff(21961,plain,
% 20.34/14.00 (~v124(constB185, bitIndex2)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21960, 1032, 21884])).
% 20.34/14.00 tff(21962,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21963,plain,
% 20.34/14.00 ((v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2))) <=> ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21964,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2)))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[21963])).
% 20.34/14.00 tff(21965,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 20.34/14.00 inference(transitivity,[status(thm)],[21964, 21962])).
% 20.34/14.00 tff(21966,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21967,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21966, 21965])).
% 20.34/14.00 tff(21968,plain,
% 20.34/14.00 ((~v121(constB185, bitIndex2)) | v124(constB185, bitIndex2)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21967, 391, 21908])).
% 20.34/14.00 tff(21969,plain,
% 20.34/14.00 (~v121(constB185, bitIndex2)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21968, 21961])).
% 20.34/14.00 tff(21970,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21971,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21972,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21971, 21970])).
% 20.34/14.00 tff(21973,plain,
% 20.34/14.00 (v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21972, 409, 21923])).
% 20.34/14.00 tff(21974,plain,
% 20.34/14.00 (~v123(constB186, bitIndex2)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21973, 21969])).
% 20.34/14.00 tff(21975,plain,
% 20.34/14.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21976,plain,
% 20.34/14.00 (((~v84(constB186, bitIndex2)) | (~v94(constB186)) | v123(constB186, bitIndex2)) <=> ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21977,plain,
% 20.34/14.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | (~v94(constB186)) | v123(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186))))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[21976])).
% 20.34/14.00 tff(21978,plain,
% 20.34/14.00 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | (~v94(constB186)) | v123(constB186, bitIndex2))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 20.34/14.00 inference(transitivity,[status(thm)],[21977, 21975])).
% 20.34/14.00 tff(21979,plain,
% 20.34/14.00 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | ((~v84(constB186, bitIndex2)) | (~v94(constB186)) | v123(constB186, bitIndex2))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21980,plain,
% 20.34/14.00 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex2)) | (~v94(VarNext)) | v123(VarNext, bitIndex2))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21979, 21978])).
% 20.34/14.00 tff(21981,plain,
% 20.34/14.00 ((~v84(constB186, bitIndex2)) | (~v94(constB186))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21980, 424, 21974])).
% 20.34/14.00 tff(21982,plain,
% 20.34/14.00 (~v84(constB186, bitIndex2)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21981, 21957])).
% 20.34/14.00 tff(21983,plain,
% 20.34/14.00 ((~v1(constB187)) <=> (~v1(constB187))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21984,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 20.34/14.00 tff(21985,plain,
% 20.34/14.00 (~v1(constB187)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21984, 21983])).
% 20.34/14.00 tff(21986,plain,
% 20.34/14.00 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21987,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 20.34/14.00 tff(21988,plain,
% 20.34/14.00 (nextState(constB186, constB187)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21987, 21986])).
% 20.34/14.00 tff(21989,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21990,plain,
% 20.34/14.00 (((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21991,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187))))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[21990])).
% 20.34/14.00 tff(21992,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 20.34/14.00 inference(transitivity,[status(thm)],[21991, 21989])).
% 20.34/14.00 tff(21993,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21994,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21993, 21992])).
% 20.34/14.00 tff(21995,plain,
% 20.34/14.00 (~v95(constB187)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21994, 89, 21988, 21985])).
% 20.34/14.00 tff(21996,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(21997,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(21998,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[21997, 21996])).
% 20.34/14.00 tff(21999,plain,
% 20.34/14.00 (v95(constB187) | (~v94(constB187))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21998, 106, 21988])).
% 20.34/14.00 tff(22000,plain,
% 20.34/14.00 (~v94(constB187)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[21999, 21995])).
% 20.34/14.00 tff(22001,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22002,plain,
% 20.34/14.00 (((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2))) <=> (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22003,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2))))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[22002])).
% 20.34/14.00 tff(22004,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 20.34/14.00 inference(transitivity,[status(thm)],[22003, 22001])).
% 20.34/14.00 tff(22005,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(22006,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[22005, 22004])).
% 20.34/14.00 tff(22007,plain,
% 20.34/14.00 (v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22006, 121, 21988])).
% 20.34/14.00 tff(22008,plain,
% 20.34/14.00 (v84(constB186, bitIndex2) | (~v84(constB187, bitIndex2))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22007, 22000])).
% 20.34/14.00 tff(22009,plain,
% 20.34/14.00 (~v84(constB187, bitIndex2)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22008, 21982])).
% 20.34/14.00 tff(22010,plain,
% 20.34/14.00 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB185)) | v124(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB185)) | v124(constB185, bitIndex1))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22011,plain,
% 20.34/14.00 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB185)) | v124(constB185, bitIndex1))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(22012,plain,
% 20.34/14.00 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB185)) | v124(constB185, bitIndex1)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[22011, 22010])).
% 20.34/14.00 tff(22013,plain,
% 20.34/14.00 (v124(constB185, bitIndex1)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22012, 1094, 21884])).
% 20.34/14.00 tff(22014,plain,
% 20.34/14.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB185) | (~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB185) | (~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22015,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB185) | (~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(22016,plain,
% 20.34/14.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB185) | (~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[22015, 22014])).
% 20.34/14.00 tff(22017,plain,
% 20.34/14.00 ((~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22016, 804, 21908])).
% 20.34/14.00 tff(22018,plain,
% 20.34/14.00 (v121(constB185, bitIndex1)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22017, 22013])).
% 20.34/14.00 tff(22019,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22020,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(22021,plain,
% 20.34/14.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1)),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[22020, 22019])).
% 20.34/14.00 tff(22022,plain,
% 20.34/14.00 ((~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22021, 819, 21923])).
% 20.34/14.00 tff(22023,plain,
% 20.34/14.00 (v123(constB186, bitIndex1)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22022, 22018])).
% 20.34/14.00 tff(22024,plain,
% 20.34/14.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22025,plain,
% 20.34/14.00 ((v84(constB186, bitIndex1) | (~v94(constB186)) | (~v123(constB186, bitIndex1))) <=> (v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186)))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22026,plain,
% 20.34/14.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v94(constB186)) | (~v123(constB186, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186))))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[22025])).
% 20.34/14.00 tff(22027,plain,
% 20.34/14.00 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v94(constB186)) | (~v123(constB186, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186)))),
% 20.34/14.00 inference(transitivity,[status(thm)],[22026, 22024])).
% 20.34/14.00 tff(22028,plain,
% 20.34/14.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v94(constB186)) | (~v123(constB186, bitIndex1)))),
% 20.34/14.00 inference(quant_inst,[status(thm)],[])).
% 20.34/14.00 tff(22029,plain,
% 20.34/14.00 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186))),
% 20.34/14.00 inference(modus_ponens,[status(thm)],[22028, 22027])).
% 20.34/14.00 tff(22030,plain,
% 20.34/14.00 (v84(constB186, bitIndex1) | (~v94(constB186))),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22029, 834, 22023])).
% 20.34/14.00 tff(22031,plain,
% 20.34/14.00 (v84(constB186, bitIndex1)),
% 20.34/14.00 inference(unit_resolution,[status(thm)],[22030, 21957])).
% 20.34/14.00 tff(22032,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22033,plain,
% 20.34/14.00 (((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1)) <=> ((~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1))),
% 20.34/14.00 inference(rewrite,[status(thm)],[])).
% 20.34/14.00 tff(22034,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1)))),
% 20.34/14.00 inference(monotonicity,[status(thm)],[22033])).
% 20.34/14.00 tff(22035,plain,
% 20.34/14.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1))),
% 20.34/14.01 inference(transitivity,[status(thm)],[22034, 22032])).
% 20.34/14.01 tff(22036,plain,
% 20.34/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22037,plain,
% 20.34/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1)),
% 20.34/14.01 inference(modus_ponens,[status(thm)],[22036, 22035])).
% 20.34/14.01 tff(22038,plain,
% 20.34/14.01 ((~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22037, 852, 21988])).
% 20.34/14.01 tff(22039,plain,
% 20.34/14.01 ((~v84(constB186, bitIndex1)) | v84(constB187, bitIndex1)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22038, 22000])).
% 20.34/14.01 tff(22040,plain,
% 20.34/14.01 (v84(constB187, bitIndex1)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22039, 22031])).
% 20.34/14.01 tff(22041,plain,
% 20.34/14.01 (((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB185)) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB185)) | v124(constB185, bitIndex0))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22042,plain,
% 20.34/14.01 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB185)) | v124(constB185, bitIndex0))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22043,plain,
% 20.34/14.01 ((~![VarCurr: $i] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB185)) | v124(constB185, bitIndex0)),
% 20.34/14.01 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 20.34/14.01 tff(22044,plain,
% 20.34/14.01 (v124(constB185, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22043, 1135, 21884])).
% 20.34/14.01 tff(22045,plain,
% 20.34/14.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22046,plain,
% 20.34/14.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22047,plain,
% 20.34/14.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0)),
% 20.34/14.01 inference(modus_ponens,[status(thm)],[22046, 22045])).
% 20.34/14.01 tff(22048,plain,
% 20.34/14.01 ((~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22047, 557, 21908])).
% 20.34/14.01 tff(22049,plain,
% 20.34/14.01 (v121(constB185, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22048, 22044])).
% 20.34/14.01 tff(22050,plain,
% 20.34/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22051,plain,
% 20.34/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22052,plain,
% 20.34/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0)),
% 20.34/14.01 inference(modus_ponens,[status(thm)],[22051, 22050])).
% 20.34/14.01 tff(22053,plain,
% 20.34/14.01 ((~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22052, 572, 21923])).
% 20.34/14.01 tff(22054,plain,
% 20.34/14.01 (v123(constB186, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22053, 22049])).
% 20.34/14.01 tff(22055,plain,
% 20.34/14.01 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22056,plain,
% 20.34/14.01 ((v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0))) <=> (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22057,plain,
% 20.34/14.01 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186))))),
% 20.34/14.01 inference(monotonicity,[status(thm)],[22056])).
% 20.34/14.01 tff(22058,plain,
% 20.34/14.01 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 20.34/14.01 inference(transitivity,[status(thm)],[22057, 22055])).
% 20.34/14.01 tff(22059,plain,
% 20.34/14.01 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22060,plain,
% 20.34/14.01 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186))),
% 20.34/14.01 inference(modus_ponens,[status(thm)],[22059, 22058])).
% 20.34/14.01 tff(22061,plain,
% 20.34/14.01 (v84(constB186, bitIndex0) | (~v94(constB186))),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22060, 587, 22054])).
% 20.34/14.01 tff(22062,plain,
% 20.34/14.01 (v84(constB186, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22061, 21957])).
% 20.34/14.01 tff(22063,plain,
% 20.34/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22064,plain,
% 20.34/14.01 (((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0)) <=> ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22065,plain,
% 20.34/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0)))),
% 20.34/14.01 inference(monotonicity,[status(thm)],[22064])).
% 20.34/14.01 tff(22066,plain,
% 20.34/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 20.34/14.01 inference(transitivity,[status(thm)],[22065, 22063])).
% 20.34/14.01 tff(22067,plain,
% 20.34/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22068,plain,
% 20.34/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0)),
% 20.34/14.01 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 20.34/14.01 tff(22069,plain,
% 20.34/14.01 ((~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22068, 605, 21988])).
% 20.34/14.01 tff(22070,plain,
% 20.34/14.01 ((~v84(constB186, bitIndex0)) | v84(constB187, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22069, 22000])).
% 20.34/14.01 tff(22071,plain,
% 20.34/14.01 (v84(constB187, bitIndex0)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22070, 22062])).
% 20.34/14.01 tff(22072,plain,
% 20.34/14.01 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v116(constB187))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v116(constB187))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22073,plain,
% 20.34/14.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v116(constB187))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22074,plain,
% 20.34/14.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v116(constB187)),
% 20.34/14.01 inference(modus_ponens,[status(thm)],[22073, 22072])).
% 20.34/14.01 tff(22075,plain,
% 20.34/14.01 (v116(constB187)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22074, 1176, 22071, 22040, 22009])).
% 20.34/14.01 tff(22076,plain,
% 20.34/14.01 (((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB187)) | v124(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB187)) | v124(constB187, bitIndex2))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22077,plain,
% 20.34/14.01 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB187)) | v124(constB187, bitIndex2))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22078,plain,
% 20.34/14.01 ((~![VarCurr: $i] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB187)) | v124(constB187, bitIndex2)),
% 20.34/14.01 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 20.34/14.01 tff(22079,plain,
% 20.34/14.01 (v124(constB187, bitIndex2)),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22078, 1259, 22075])).
% 20.34/14.01 tff(22080,assumption,(v26(constB187)), introduced(assumption)).
% 20.34/14.01 tff(22081,plain,
% 20.34/14.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 20.34/14.01 inference(quant_inst,[status(thm)],[])).
% 20.34/14.01 tff(22082,plain,
% 20.34/14.01 ($false),
% 20.34/14.01 inference(unit_resolution,[status(thm)],[22081, 18, 22080])).
% 20.34/14.01 tff(22083,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 20.34/14.01 tff(22084,plain,
% 20.34/14.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))),
% 20.34/14.01 inference(rewrite,[status(thm)],[])).
% 20.34/14.01 tff(22085,plain,
% 20.34/14.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22086,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2)),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22085, 22084])).
% 20.44/14.01 tff(22087,plain,
% 20.44/14.01 ((~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22086, 1273, 22083])).
% 20.44/14.01 tff(22088,plain,
% 20.44/14.01 (v121(constB187, bitIndex2)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22087, 22079])).
% 20.44/14.01 tff(22089,plain,
% 20.44/14.01 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22090,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 20.44/14.01 tff(22091,plain,
% 20.44/14.01 (nextState(constB187, constB188)),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22090, 22089])).
% 20.44/14.01 tff(22092,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22093,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22094,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2)),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22093, 22092])).
% 20.44/14.01 tff(22095,plain,
% 20.44/14.01 ((~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22094, 1288, 22091])).
% 20.44/14.01 tff(22096,plain,
% 20.44/14.01 (v123(constB188, bitIndex2)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22095, 22088])).
% 20.44/14.01 tff(22097,assumption,(~v84(constB187, bitIndex2)), introduced(assumption)).
% 20.44/14.01 tff(22098,assumption,(~v94(constB188)), introduced(assumption)).
% 20.44/14.01 tff(22099,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22100,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22101,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22100, 22099])).
% 20.44/14.01 tff(22102,plain,
% 20.44/14.01 (~v98(constB188)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22101, 311, 22091, 21985])).
% 20.44/14.01 tff(22103,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22104,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22105,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB187, constB188)) | v96(constB188) | v98(constB188)),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22104, 22103])).
% 20.44/14.01 tff(22106,plain,
% 20.44/14.01 (v96(constB188) | v98(constB188)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22105, 325, 22091])).
% 20.44/14.01 tff(22107,plain,
% 20.44/14.01 (v96(constB188)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22106, 22102])).
% 20.44/14.01 tff(22108,plain,
% 20.44/14.01 (v1(constB188) <=> v1(constB188)),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22109,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 20.44/14.01 tff(22110,plain,
% 20.44/14.01 (v1(constB188)),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22109, 22108])).
% 20.44/14.01 tff(22111,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22112,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22113,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22112, 22111])).
% 20.44/14.01 tff(22114,plain,
% 20.44/14.01 (v95(constB188) | (~v96(constB188))),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22113, 343, 22091, 22110])).
% 20.44/14.01 tff(22115,plain,
% 20.44/14.01 (v95(constB188)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22114, 22107])).
% 20.44/14.01 tff(22116,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22117,plain,
% 20.44/14.01 (((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188)) <=> ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22118,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188))))),
% 20.44/14.01 inference(monotonicity,[status(thm)],[22117])).
% 20.44/14.01 tff(22119,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 20.44/14.01 inference(transitivity,[status(thm)],[22118, 22116])).
% 20.44/14.01 tff(22120,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22121,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22120, 22119])).
% 20.44/14.01 tff(22122,plain,
% 20.44/14.01 (v94(constB188) | (~v95(constB188)) | (~v104(constB188))),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22121, 358, 22091])).
% 20.44/14.01 tff(22123,plain,
% 20.44/14.01 (v94(constB188) | (~v104(constB188))),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22122, 22115])).
% 20.44/14.01 tff(22124,plain,
% 20.44/14.01 (~v104(constB188)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22123, 22098])).
% 20.44/14.01 tff(22125,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22126,plain,
% 20.44/14.01 (((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188)) <=> ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22127,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187))))),
% 20.44/14.01 inference(monotonicity,[status(thm)],[22126])).
% 20.44/14.01 tff(22128,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 20.44/14.01 inference(transitivity,[status(thm)],[22127, 22125])).
% 20.44/14.01 tff(22129,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22130,plain,
% 20.44/14.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22129, 22128])).
% 20.44/14.01 tff(22131,plain,
% 20.44/14.01 (v104(constB188) | (~v102(constB187))),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22130, 293, 22091])).
% 20.44/14.01 tff(22132,plain,
% 20.44/14.01 (~v102(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22131, 22124])).
% 20.44/14.01 tff(22133,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB187) | (~v106(constB187)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB187) | (~v106(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22134,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB187) | (~v106(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22135,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB187) | (~v106(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22134, 22133])).
% 20.44/14.01 tff(22136,plain,
% 20.44/14.01 (~v106(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22135, 276, 22132])).
% 20.44/14.01 tff(22137,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB187) | (~v26(constB187)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB187) | (~v26(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22138,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB187) | (~v26(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22139,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB187) | (~v26(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22138, 22137])).
% 20.44/14.01 tff(22140,plain,
% 20.44/14.01 (~v26(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22139, 670, 22132])).
% 20.44/14.01 tff(22141,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | v106(constB187) | (~v107(constB187)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22142,plain,
% 20.44/14.01 ((v26(constB187) | (~v107(constB187)) | v106(constB187)) <=> (v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22143,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | v106(constB187) | (~v107(constB187))))),
% 20.44/14.01 inference(monotonicity,[status(thm)],[22142])).
% 20.44/14.01 tff(22144,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 20.44/14.01 inference(transitivity,[status(thm)],[22143, 22141])).
% 20.44/14.01 tff(22145,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22146,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 20.44/14.01 tff(22147,plain,
% 20.44/14.01 (~v107(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22146, 264, 22140, 22136])).
% 20.44/14.01 tff(22148,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB187) | (~v108(constB187)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB187) | (~v108(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22149,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB187) | (~v108(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22150,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB187) | (~v108(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22149, 22148])).
% 20.44/14.01 tff(22151,plain,
% 20.44/14.01 (~v108(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22150, 250, 22147])).
% 20.44/14.01 tff(22152,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB187) | (~v109(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB187) | (~v109(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22153,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB187) | (~v109(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22154,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB187) | (~v109(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22153, 22152])).
% 20.44/14.01 tff(22155,plain,
% 20.44/14.01 (~v109(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22154, 239, 22151])).
% 20.44/14.01 tff(22156,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB187) | (~v110(constB187)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB187) | (~v110(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22157,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB187) | (~v110(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22158,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB187) | (~v110(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22157, 22156])).
% 20.44/14.01 tff(22159,plain,
% 20.44/14.01 (~v110(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22158, 228, 22155])).
% 20.44/14.01 tff(22160,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB187) | (~v111(constB187)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB187) | (~v111(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22161,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB187) | (~v111(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22162,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB187) | (~v111(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22161, 22160])).
% 20.44/14.01 tff(22163,plain,
% 20.44/14.01 (~v111(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22162, 217, 22159])).
% 20.44/14.01 tff(22164,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB187) | (~v115(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22165,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB187) | (~v115(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22166,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB187) | (~v115(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22165, 22164])).
% 20.44/14.01 tff(22167,plain,
% 20.44/14.01 (~v115(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22166, 956, 22163])).
% 20.44/14.01 tff(22168,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB187) | (~v112(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22169,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB187) | (~v112(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22170,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB187) | (~v112(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22169, 22168])).
% 20.44/14.01 tff(22171,plain,
% 20.44/14.01 (~v112(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22170, 206, 22163])).
% 20.44/14.01 tff(22172,plain,
% 20.44/14.01 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB187) | (~v145(constB187)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB187) | (~v145(constB187)))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22173,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB187) | (~v145(constB187)))),
% 20.44/14.01 inference(quant_inst,[status(thm)],[])).
% 20.44/14.01 tff(22174,plain,
% 20.44/14.01 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB187) | (~v145(constB187))),
% 20.44/14.01 inference(modus_ponens,[status(thm)],[22173, 22172])).
% 20.44/14.01 tff(22175,plain,
% 20.44/14.01 (~v145(constB187)),
% 20.44/14.01 inference(unit_resolution,[status(thm)],[22174, 681, 22171])).
% 20.44/14.01 tff(22176,assumption,(~v84(constB188, bitIndex2)), introduced(assumption)).
% 20.44/14.01 tff(22177,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22178,plain,
% 20.44/14.01 (((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2)) <=> ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 20.44/14.01 inference(rewrite,[status(thm)],[])).
% 20.44/14.01 tff(22179,plain,
% 20.44/14.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2)))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22178])).
% 20.44/14.02 tff(22180,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 20.44/14.02 inference(transitivity,[status(thm)],[22179, 22177])).
% 20.44/14.02 tff(22181,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22182,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22181, 22180])).
% 20.44/14.02 tff(22183,plain,
% 20.44/14.02 ((~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22182, 1339, 22091])).
% 20.44/14.02 tff(22184,plain,
% 20.44/14.02 (~v84(constB187, bitIndex2)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22183, 22098, 22176])).
% 20.44/14.02 tff(22185,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB187) | (~v113(constB187)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22186,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB187) | (~v113(constB187)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22187,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB187) | (~v113(constB187))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22186, 22185])).
% 20.44/14.02 tff(22188,plain,
% 20.44/14.02 (~v113(constB187)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22187, 195, 22171])).
% 20.44/14.02 tff(22189,assumption,(~v113(constB187)), introduced(assumption)).
% 20.44/14.02 tff(22190,assumption,(~v84(constB187, bitIndex1)), introduced(assumption)).
% 20.44/14.02 tff(22191,assumption,(~v145(constB187)), introduced(assumption)).
% 20.44/14.02 tff(22192,plain,
% 20.44/14.02 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22193,plain,
% 20.44/14.02 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22194,plain,
% 20.44/14.02 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22193, 22192])).
% 20.44/14.02 tff(22195,plain,
% 20.44/14.02 ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v145(constB187)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22194, 624, 22097])).
% 20.44/14.02 tff(22196,plain,
% 20.44/14.02 (~v84(constB187, bitIndex0)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22195, 22190, 22191])).
% 20.44/14.02 tff(22197,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB187) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB187) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22198,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB187) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22199,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB187) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22198, 22197])).
% 20.44/14.02 tff(22200,plain,
% 20.44/14.02 (v113(constB187) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22199, 184, 22097])).
% 20.44/14.02 tff(22201,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22200, 22196, 22190, 22189])).
% 20.44/14.02 tff(22202,plain,(v84(constB187, bitIndex1) | v113(constB187) | v84(constB187, bitIndex2) | v145(constB187)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22203,plain,
% 20.44/14.02 (v84(constB187, bitIndex1)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22202, 22188, 22184, 22175])).
% 20.44/14.02 tff(22204,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB187) | (~v116(constB187)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22205,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB187) | (~v116(constB187)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22206,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB187) | (~v116(constB187))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22205, 22204])).
% 20.44/14.02 tff(22207,plain,
% 20.44/14.02 (~v116(constB187)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22206, 1187, 22159])).
% 20.44/14.02 tff(22208,plain,
% 20.44/14.02 ((~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v116(constB187)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22074, 1176, 22184])).
% 20.44/14.02 tff(22209,plain,
% 20.44/14.02 (~v84(constB187, bitIndex0)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22208, 22203, 22207])).
% 20.44/14.02 tff(22210,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v115(constB187))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v115(constB187))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22211,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v115(constB187))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22212,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v115(constB187)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 20.44/14.02 tff(22213,plain,
% 20.44/14.02 (v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v115(constB187)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22212, 945, 22184])).
% 20.44/14.02 tff(22214,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22213, 22209, 22203, 22167])).
% 20.44/14.02 tff(22215,plain,(v94(constB188) | v84(constB188, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22216,plain,
% 20.44/14.02 (v84(constB188, bitIndex2)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22215, 22098])).
% 20.44/14.02 tff(22217,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22218,plain,
% 20.44/14.02 (((~nextState(constB187, constB188)) | v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2))) <=> (v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22219,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2))))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22218])).
% 20.44/14.02 tff(22220,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2)))),
% 20.44/14.02 inference(transitivity,[status(thm)],[22219, 22217])).
% 20.44/14.02 tff(22221,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22222,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22221, 22220])).
% 20.44/14.02 tff(22223,plain,
% 20.44/14.02 (v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2))),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22222, 121, 22091])).
% 20.44/14.02 tff(22224,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22223, 22216, 22098, 22097])).
% 20.44/14.02 tff(22225,plain,(v94(constB188) | v84(constB187, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22226,plain,
% 20.44/14.02 (v94(constB188)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22225, 22009])).
% 20.44/14.02 tff(22227,plain,
% 20.44/14.02 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22228,plain,
% 20.44/14.02 ((v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2))) <=> (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22229,plain,
% 20.44/14.02 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188))))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22228])).
% 20.44/14.02 tff(22230,plain,
% 20.44/14.02 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 20.44/14.02 inference(transitivity,[status(thm)],[22229, 22227])).
% 20.44/14.02 tff(22231,plain,
% 20.44/14.02 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22232,plain,
% 20.44/14.02 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22231, 22230])).
% 20.44/14.02 tff(22233,plain,
% 20.44/14.02 (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2))),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22232, 1303, 22226])).
% 20.44/14.02 tff(22234,plain,
% 20.44/14.02 (v84(constB188, bitIndex2)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22233, 22096])).
% 20.44/14.02 tff(22235,plain,
% 20.44/14.02 ((~v1(constB189)) <=> (~v1(constB189))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22236,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 20.44/14.02 tff(22237,plain,
% 20.44/14.02 (~v1(constB189)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22236, 22235])).
% 20.44/14.02 tff(22238,plain,
% 20.44/14.02 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22239,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 20.44/14.02 tff(22240,plain,
% 20.44/14.02 (nextState(constB188, constB189)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22239, 22238])).
% 20.44/14.02 tff(22241,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22242,plain,
% 20.44/14.02 (((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22243,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189))))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22242])).
% 20.44/14.02 tff(22244,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 20.44/14.02 inference(transitivity,[status(thm)],[22243, 22241])).
% 20.44/14.02 tff(22245,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22246,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 20.44/14.02 tff(22247,plain,
% 20.44/14.02 (~v95(constB189)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22246, 89, 22240, 22237])).
% 20.44/14.02 tff(22248,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22249,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22250,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22249, 22248])).
% 20.44/14.02 tff(22251,plain,
% 20.44/14.02 (v95(constB189) | (~v94(constB189))),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22250, 106, 22240])).
% 20.44/14.02 tff(22252,plain,
% 20.44/14.02 (~v94(constB189)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22251, 22247])).
% 20.44/14.02 tff(22253,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22254,plain,
% 20.44/14.02 (((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2)) <=> ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22255,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2)))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22254])).
% 20.44/14.02 tff(22256,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 20.44/14.02 inference(transitivity,[status(thm)],[22255, 22253])).
% 20.44/14.02 tff(22257,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22258,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22257, 22256])).
% 20.44/14.02 tff(22259,plain,
% 20.44/14.02 ((~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22258, 1339, 22240])).
% 20.44/14.02 tff(22260,plain,
% 20.44/14.02 ((~v84(constB188, bitIndex2)) | v84(constB189, bitIndex2)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22259, 22252])).
% 20.44/14.02 tff(22261,plain,
% 20.44/14.02 (v84(constB189, bitIndex2)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22260, 22234])).
% 20.44/14.02 tff(22262,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22261, 18559])).
% 20.44/14.02 tff(22263,plain,((~(constB189 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22264,plain,
% 20.44/14.02 (~(constB189 = sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22263, 5])).
% 20.44/14.02 tff(22265,assumption,(constB177 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.02 tff(22266,plain,
% 20.44/14.02 (v84(constB177, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22265])).
% 20.44/14.02 tff(22267,plain,
% 20.44/14.02 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB177, bitIndex2)),
% 20.44/14.02 inference(symmetry,[status(thm)],[22266])).
% 20.44/14.02 tff(22268,plain,
% 20.44/14.02 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB177, bitIndex2))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22267])).
% 20.44/14.02 tff(22269,plain,
% 20.44/14.02 (~v84(constB177, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[5, 22268])).
% 20.44/14.02 tff(22270,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[21004, 22269])).
% 20.44/14.02 tff(22271,plain,((~(constB177 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22272,plain,
% 20.44/14.02 (~(constB177 = sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22271, 5])).
% 20.44/14.02 tff(22273,assumption,(constB45 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.02 tff(22274,plain,
% 20.44/14.02 (v84(constB45, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22273])).
% 20.44/14.02 tff(22275,plain,
% 20.44/14.02 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB45, bitIndex2)),
% 20.44/14.02 inference(symmetry,[status(thm)],[22274])).
% 20.44/14.02 tff(22276,plain,
% 20.44/14.02 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB45, bitIndex2))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22275])).
% 20.44/14.02 tff(22277,plain,
% 20.44/14.02 (~v84(constB45, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[5, 22276])).
% 20.44/14.02 tff(22278,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[5503, 22277])).
% 20.44/14.02 tff(22279,plain,((~(constB45 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22280,plain,
% 20.44/14.02 (~(constB45 = sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22279, 5])).
% 20.44/14.02 tff(22281,assumption,(constB9 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.02 tff(22282,plain,
% 20.44/14.02 (v84(constB9, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22281])).
% 20.44/14.02 tff(22283,plain,
% 20.44/14.02 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB9, bitIndex2)),
% 20.44/14.02 inference(symmetry,[status(thm)],[22282])).
% 20.44/14.02 tff(22284,plain,
% 20.44/14.02 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB9, bitIndex2))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22283])).
% 20.44/14.02 tff(22285,plain,
% 20.44/14.02 (~v84(constB9, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[5, 22284])).
% 20.44/14.02 tff(22286,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[1348, 22285])).
% 20.44/14.02 tff(22287,plain,((~(constB9 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22288,plain,
% 20.44/14.02 (~(constB9 = sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22287, 5])).
% 20.44/14.02 tff(22289,assumption,(constB165 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.02 tff(22290,plain,
% 20.44/14.02 (v84(constB165, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22289])).
% 20.44/14.02 tff(22291,plain,
% 20.44/14.02 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB165, bitIndex2)),
% 20.44/14.02 inference(symmetry,[status(thm)],[22290])).
% 20.44/14.02 tff(22292,plain,
% 20.44/14.02 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB165, bitIndex2))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22291])).
% 20.44/14.02 tff(22293,plain,
% 20.44/14.02 (~v84(constB165, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[5, 22292])).
% 20.44/14.02 tff(22294,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[19870, 22293])).
% 20.44/14.02 tff(22295,plain,((~(constB165 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22296,plain,
% 20.44/14.02 (~(constB165 = sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22295, 5])).
% 20.44/14.02 tff(22297,assumption,(constB21 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.02 tff(22298,plain,
% 20.44/14.02 (v84(constB21, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22297])).
% 20.44/14.02 tff(22299,plain,
% 20.44/14.02 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB21, bitIndex2)),
% 20.44/14.02 inference(symmetry,[status(thm)],[22298])).
% 20.44/14.02 tff(22300,plain,
% 20.44/14.02 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB21, bitIndex2))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22299])).
% 20.44/14.02 tff(22301,plain,
% 20.44/14.02 (~v84(constB21, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[5, 22300])).
% 20.44/14.02 tff(22302,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[2915, 22301])).
% 20.44/14.02 tff(22303,plain,((~(constB21 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22304,plain,
% 20.44/14.02 (~(constB21 = sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22303, 5])).
% 20.44/14.02 tff(22305,assumption,(constB57 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.02 tff(22306,plain,
% 20.44/14.02 (v84(constB57, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22305])).
% 20.44/14.02 tff(22307,plain,
% 20.44/14.02 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB57, bitIndex2)),
% 20.44/14.02 inference(symmetry,[status(thm)],[22306])).
% 20.44/14.02 tff(22308,plain,
% 20.44/14.02 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB57, bitIndex2))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22307])).
% 20.44/14.02 tff(22309,plain,
% 20.44/14.02 (~v84(constB57, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[5, 22308])).
% 20.44/14.02 tff(22310,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[6544, 22309])).
% 20.44/14.02 tff(22311,plain,((~(constB57 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22312,plain,
% 20.44/14.02 (~(constB57 = sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22311, 5])).
% 20.44/14.02 tff(22313,assumption,(constB93 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.02 tff(22314,plain,
% 20.44/14.02 (v84(constB93, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22313])).
% 20.44/14.02 tff(22315,plain,
% 20.44/14.02 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB93, bitIndex2)),
% 20.44/14.02 inference(symmetry,[status(thm)],[22314])).
% 20.44/14.02 tff(22316,plain,
% 20.44/14.02 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB93, bitIndex2))),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22315])).
% 20.44/14.02 tff(22317,plain,
% 20.44/14.02 (~v84(constB93, bitIndex2)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[5, 22316])).
% 20.44/14.02 tff(22318,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[12342, 22317])).
% 20.44/14.02 tff(22319,plain,((~(constB93 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22320,plain,
% 20.44/14.02 (~(constB93 = sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22319, 5])).
% 20.44/14.02 tff(22321,assumption,(constB99 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.02 tff(22322,plain,
% 20.44/14.02 (v162(constB99) <=> v162(sK0_VarCurr)),
% 20.44/14.02 inference(monotonicity,[status(thm)],[22321])).
% 20.44/14.02 tff(22323,plain,
% 20.44/14.02 (v162(sK0_VarCurr) <=> v162(constB99)),
% 20.44/14.02 inference(symmetry,[status(thm)],[22322])).
% 20.44/14.02 tff(22324,plain,
% 20.44/14.02 (v168(sK0_VarCurr) <=> v168(sK0_VarCurr)),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22325,axiom,(v168(sK0_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 20.44/14.02 tff(22326,plain,
% 20.44/14.02 (v168(sK0_VarCurr)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22325, 22324])).
% 20.44/14.02 tff(22327,plain,
% 20.44/14.02 (^[VarCurr: $i] : refl((v162(VarCurr) | (~v168(VarCurr))) <=> (v162(VarCurr) | (~v168(VarCurr))))),
% 20.44/14.02 inference(bind,[status(th)],[])).
% 20.44/14.02 tff(22328,plain,
% 20.44/14.02 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.02 inference(quant_intro,[status(thm)],[22327])).
% 20.44/14.02 tff(22329,plain,
% 20.44/14.02 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22330,axiom,(![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1_2')).
% 20.44/14.02 tff(22331,plain,
% 20.44/14.02 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22330, 22329])).
% 20.44/14.02 tff(22332,plain,(
% 20.44/14.02 ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.02 inference(skolemize,[status(sab)],[22331])).
% 20.44/14.02 tff(22333,plain,
% 20.44/14.02 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22332, 22328])).
% 20.44/14.02 tff(22334,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22335,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22336,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22335, 22334])).
% 20.44/14.02 tff(22337,plain,
% 20.44/14.02 (v162(sK0_VarCurr)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22336, 22333, 22326])).
% 20.44/14.02 tff(22338,plain,
% 20.44/14.02 (v162(constB99)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22337, 22323])).
% 20.44/14.02 tff(22339,plain,
% 20.44/14.02 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB93, bitIndex2)) | (~v145(constB93)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22340,plain,
% 20.44/14.02 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v145(constB93)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22341,plain,
% 20.44/14.02 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB93, bitIndex2)) | (~v145(constB93))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22340, 22339])).
% 20.44/14.02 tff(22342,plain,
% 20.44/14.02 (~v145(constB93)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22341, 10327, 12342])).
% 20.44/14.02 tff(22343,plain,
% 20.44/14.02 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v144(VarCurr))) <=> (v145(VarCurr) | (~v144(VarCurr))))),
% 20.44/14.02 inference(bind,[status(th)],[])).
% 20.44/14.02 tff(22344,plain,
% 20.44/14.02 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.02 inference(quant_intro,[status(thm)],[22343])).
% 20.44/14.02 tff(22345,plain,
% 20.44/14.02 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22346,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_2')).
% 20.44/14.02 tff(22347,plain,
% 20.44/14.02 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22346, 22345])).
% 20.44/14.02 tff(22348,plain,(
% 20.44/14.02 ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.02 inference(skolemize,[status(sab)],[22347])).
% 20.44/14.02 tff(22349,plain,
% 20.44/14.02 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22348, 22344])).
% 20.44/14.02 tff(22350,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB93) | (~v144(constB93)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB93) | (~v144(constB93)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22351,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB93) | (~v144(constB93)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22352,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB93) | (~v144(constB93))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22351, 22350])).
% 20.44/14.02 tff(22353,plain,
% 20.44/14.02 (~v144(constB93)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22352, 22349, 22342])).
% 20.44/14.02 tff(22354,plain,
% 20.44/14.02 (^[VarCurr: $i] : refl((v144(VarCurr) | (~v142(VarCurr))) <=> (v144(VarCurr) | (~v142(VarCurr))))),
% 20.44/14.02 inference(bind,[status(th)],[])).
% 20.44/14.02 tff(22355,plain,
% 20.44/14.02 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 20.44/14.02 inference(quant_intro,[status(thm)],[22354])).
% 20.44/14.02 tff(22356,plain,
% 20.44/14.02 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22357,axiom,(![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1_2')).
% 20.44/14.02 tff(22358,plain,
% 20.44/14.02 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22357, 22356])).
% 20.44/14.02 tff(22359,plain,(
% 20.44/14.02 ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 20.44/14.02 inference(skolemize,[status(sab)],[22358])).
% 20.44/14.02 tff(22360,plain,
% 20.44/14.02 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22359, 22355])).
% 20.44/14.02 tff(22361,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB93) | (~v142(constB93)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB93) | (~v142(constB93)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22362,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB93) | (~v142(constB93)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22363,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB93) | (~v142(constB93))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22362, 22361])).
% 20.44/14.02 tff(22364,plain,
% 20.44/14.02 (~v142(constB93)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22363, 22360, 22353])).
% 20.44/14.02 tff(22365,assumption,(v18(constB94)), introduced(assumption)).
% 20.44/14.02 tff(22366,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB94))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22367,plain,
% 20.44/14.02 ($false),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22366, 2627, 22365])).
% 20.44/14.02 tff(22368,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.02 tff(22369,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22370,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22371,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22370, 22369])).
% 20.44/14.02 tff(22372,plain,
% 20.44/14.02 (v22(constB94)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22371, 2640, 12462])).
% 20.44/14.02 tff(22373,plain,
% 20.44/14.02 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB94)) | (~v22(constB94)) | v18(constB94))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB94)) | (~v22(constB94)) | v18(constB94))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22374,plain,
% 20.44/14.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB94)) | (~v22(constB94)) | v18(constB94))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22375,plain,
% 20.44/14.02 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB94)) | (~v22(constB94)) | v18(constB94)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22374, 22373])).
% 20.44/14.02 tff(22376,plain,
% 20.44/14.02 ((~v19(constB94)) | v18(constB94)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22375, 2654, 22372])).
% 20.44/14.02 tff(22377,plain,
% 20.44/14.02 (~v19(constB94)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22376, 22368])).
% 20.44/14.02 tff(22378,plain,
% 20.44/14.02 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22379,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22380,plain,
% 20.44/14.02 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22379, 22378])).
% 20.44/14.02 tff(22381,plain,
% 20.44/14.02 (v13(constB94)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22380, 2669, 22377])).
% 20.44/14.02 tff(22382,plain,
% 20.44/14.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22383,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93))),
% 20.44/14.02 inference(quant_inst,[status(thm)],[])).
% 20.44/14.02 tff(22384,plain,
% 20.44/14.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB93, constB94)) | (~v13(constB94)) | v9(constB93)),
% 20.44/14.02 inference(modus_ponens,[status(thm)],[22383, 22382])).
% 20.44/14.02 tff(22385,plain,
% 20.44/14.02 ((~v13(constB94)) | v9(constB93)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22384, 2686, 12442])).
% 20.44/14.02 tff(22386,plain,
% 20.44/14.02 (v9(constB93)),
% 20.44/14.02 inference(unit_resolution,[status(thm)],[22385, 22381])).
% 20.44/14.02 tff(22387,plain,
% 20.44/14.02 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)))),
% 20.44/14.02 inference(bind,[status(th)],[])).
% 20.44/14.02 tff(22388,plain,
% 20.44/14.02 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 20.44/14.02 inference(quant_intro,[status(thm)],[22387])).
% 20.44/14.02 tff(22389,plain,
% 20.44/14.02 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 20.44/14.02 inference(rewrite,[status(thm)],[])).
% 20.44/14.02 tff(22390,plain,
% 20.44/14.02 (^[VarCurr: $i] : trans(monotonicity(rewrite((v141(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v141(VarCurr))), (((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v141(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v141(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))), (((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))))),
% 20.44/14.02 inference(bind,[status(th)],[])).
% 20.44/14.02 tff(22391,plain,
% 20.44/14.02 (![VarCurr: $i] : ((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 20.44/14.02 inference(quant_intro,[status(thm)],[22390])).
% 20.44/14.02 tff(22392,axiom,(![VarCurr: $i] : ((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28_1_1_1')).
% 20.44/14.03 tff(22393,plain,
% 20.44/14.03 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22392, 22391])).
% 20.44/14.03 tff(22394,plain,
% 20.44/14.03 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22393, 22389])).
% 20.44/14.03 tff(22395,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22394])).
% 20.44/14.03 tff(22396,plain,
% 20.44/14.03 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22395, 22388])).
% 20.44/14.03 tff(22397,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v141(constB93))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB93) | (~v9(constB93)) | v141(constB93))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22398,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v141(constB93))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22399,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB93) | (~v9(constB93)) | v141(constB93)),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22398, 22397])).
% 20.44/14.03 tff(22400,plain,
% 20.44/14.03 ((~v9(constB93)) | v141(constB93)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22399, 22396, 12318])).
% 20.44/14.03 tff(22401,plain,
% 20.44/14.03 (v141(constB93)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22400, 22386])).
% 20.44/14.03 tff(22402,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v140(VarCurr) | (~v141(VarCurr))) <=> (v140(VarCurr) | (~v141(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22403,plain,
% 20.44/14.03 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22402])).
% 20.44/14.03 tff(22404,plain,
% 20.44/14.03 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22405,axiom,(![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_29_1_1_1')).
% 20.44/14.03 tff(22406,plain,
% 20.44/14.03 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22405, 22404])).
% 20.44/14.03 tff(22407,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22406])).
% 20.44/14.03 tff(22408,plain,
% 20.44/14.03 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22407, 22403])).
% 20.44/14.03 tff(22409,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB93) | (~v141(constB93)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB93) | (~v141(constB93)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22410,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB93) | (~v141(constB93)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22411,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB93) | (~v141(constB93))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 20.44/14.03 tff(22412,plain,
% 20.44/14.03 (v140(constB93)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22411, 22408, 22401])).
% 20.44/14.03 tff(22413,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v138(VarCurr))) <=> ((~v140(VarCurr)) | (~v138(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22414,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22413])).
% 20.44/14.03 tff(22415,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22416,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1_3')).
% 20.44/14.03 tff(22417,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22416, 22415])).
% 20.44/14.03 tff(22418,plain,(
% 20.44/14.03 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22417])).
% 20.44/14.03 tff(22419,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22418, 22414])).
% 20.44/14.03 tff(22420,plain,
% 20.44/14.03 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB93)) | (~v140(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB93)) | (~v140(constB93)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22421,plain,
% 20.44/14.03 (((~v140(constB93)) | (~v138(constB93))) <=> ((~v138(constB93)) | (~v140(constB93)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22422,plain,
% 20.44/14.03 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB93)) | (~v138(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB93)) | (~v140(constB93))))),
% 20.44/14.03 inference(monotonicity,[status(thm)],[22421])).
% 20.44/14.03 tff(22423,plain,
% 20.44/14.03 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB93)) | (~v138(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB93)) | (~v140(constB93)))),
% 20.44/14.03 inference(transitivity,[status(thm)],[22422, 22420])).
% 20.44/14.03 tff(22424,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB93)) | (~v138(constB93)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22425,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB93)) | (~v140(constB93))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22424, 22423])).
% 20.44/14.03 tff(22426,plain,
% 20.44/14.03 (~v138(constB93)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22425, 22419, 22412])).
% 20.44/14.03 tff(22427,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22428,plain,
% 20.44/14.03 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22427])).
% 20.44/14.03 tff(22429,plain,
% 20.44/14.03 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22430,plain,
% 20.44/14.03 (^[VarCurr: $i] : trans(monotonicity(rewrite((v142(VarCurr) | v138(VarCurr)) <=> (v138(VarCurr) | v142(VarCurr))), (((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> ((v138(VarCurr) | v142(VarCurr)) | (~v135(VarCurr))))), rewrite(((v138(VarCurr) | v142(VarCurr)) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))), (((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22431,plain,
% 20.44/14.03 (![VarCurr: $i] : ((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22430])).
% 20.44/14.03 tff(22432,axiom,(![VarCurr: $i] : ((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_33_1_3')).
% 20.44/14.03 tff(22433,plain,
% 20.44/14.03 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22432, 22431])).
% 20.44/14.03 tff(22434,plain,
% 20.44/14.03 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22433, 22429])).
% 20.44/14.03 tff(22435,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22434])).
% 20.44/14.03 tff(22436,plain,
% 20.44/14.03 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22435, 22428])).
% 20.44/14.03 tff(22437,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB93) | v142(constB93) | (~v135(constB93)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB93) | v142(constB93) | (~v135(constB93)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22438,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB93) | v142(constB93) | (~v135(constB93)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22439,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB93) | v142(constB93) | (~v135(constB93))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22438, 22437])).
% 20.44/14.03 tff(22440,plain,
% 20.44/14.03 (v142(constB93) | (~v135(constB93))),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22439, 22436, 22426])).
% 20.44/14.03 tff(22441,plain,
% 20.44/14.03 (~v135(constB93)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22440, 22364])).
% 20.44/14.03 tff(22442,plain,
% 20.44/14.03 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22443,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22442])).
% 20.44/14.03 tff(22444,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22445,plain,
% 20.44/14.03 (^[VarNext: $i, VarCurr: $i] : rewrite(((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22446,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22445])).
% 20.44/14.03 tff(22447,axiom,(![VarNext: $i, VarCurr: $i] : ((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 20.44/14.03 tff(22448,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22447, 22446])).
% 20.44/14.03 tff(22449,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22448, 22444])).
% 20.44/14.03 tff(22450,plain,(
% 20.44/14.03 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22449])).
% 20.44/14.03 tff(22451,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22450, 22443])).
% 20.44/14.03 tff(22452,plain,
% 20.44/14.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22453,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22454,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 20.44/14.03 tff(22455,plain,
% 20.44/14.03 (v135(constB93) | (~v137(constB94))),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22454, 22451, 12442])).
% 20.44/14.03 tff(22456,plain,
% 20.44/14.03 (~v137(constB94)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22455, 22441])).
% 20.44/14.03 tff(22457,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v137(VarCurr) | (~v138(VarCurr))) <=> (v137(VarCurr) | (~v138(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22458,plain,
% 20.44/14.03 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22457])).
% 20.44/14.03 tff(22459,plain,
% 20.44/14.03 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22460,axiom,(![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1_2')).
% 20.44/14.03 tff(22461,plain,
% 20.44/14.03 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22460, 22459])).
% 20.44/14.03 tff(22462,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22461])).
% 20.44/14.03 tff(22463,plain,
% 20.44/14.03 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22462, 22458])).
% 20.44/14.03 tff(22464,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB94) | (~v138(constB94)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB94) | (~v138(constB94)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22465,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB94) | (~v138(constB94)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22466,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB94) | (~v138(constB94))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22465, 22464])).
% 20.44/14.03 tff(22467,plain,
% 20.44/14.03 (~v138(constB94)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22466, 22463, 22456])).
% 20.44/14.03 tff(22468,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl(((~v1(VarCurr)) | (~v141(VarCurr))) <=> ((~v1(VarCurr)) | (~v141(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22469,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22468])).
% 20.44/14.03 tff(22470,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22471,axiom,(![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28_1_1_2')).
% 20.44/14.03 tff(22472,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22471, 22470])).
% 20.44/14.03 tff(22473,plain,(
% 20.44/14.03 ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22472])).
% 20.44/14.03 tff(22474,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22473, 22469])).
% 20.44/14.03 tff(22475,plain,
% 20.44/14.03 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB94)) | (~v141(constB94)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB94)) | (~v141(constB94)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22476,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB94)) | (~v141(constB94)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22477,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB94)) | (~v141(constB94))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22476, 22475])).
% 20.44/14.03 tff(22478,plain,
% 20.44/14.03 (~v141(constB94)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22477, 22474, 12462])).
% 20.44/14.03 tff(22479,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v144(VarCurr))) <=> (v141(VarCurr) | (~v144(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22480,plain,
% 20.44/14.03 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22479])).
% 20.44/14.03 tff(22481,plain,
% 20.44/14.03 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22482,axiom,(![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_3')).
% 20.44/14.03 tff(22483,plain,
% 20.44/14.03 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22482, 22481])).
% 20.44/14.03 tff(22484,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22483])).
% 20.44/14.03 tff(22485,plain,
% 20.44/14.03 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22484, 22480])).
% 20.44/14.03 tff(22486,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB94) | (~v144(constB94)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB94) | (~v144(constB94)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22487,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB94) | (~v144(constB94)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22488,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB94) | (~v144(constB94))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22487, 22486])).
% 20.44/14.03 tff(22489,plain,
% 20.44/14.03 (~v144(constB94)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22488, 22485, 22478])).
% 20.44/14.03 tff(22490,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB94) | (~v142(constB94)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB94) | (~v142(constB94)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22491,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB94) | (~v142(constB94)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22492,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB94) | (~v142(constB94))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22491, 22490])).
% 20.44/14.03 tff(22493,plain,
% 20.44/14.03 (~v142(constB94)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22492, 22360, 22489])).
% 20.44/14.03 tff(22494,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB94) | v142(constB94) | (~v135(constB94)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB94) | v142(constB94) | (~v135(constB94)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22495,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB94) | v142(constB94) | (~v135(constB94)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22496,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB94) | v142(constB94) | (~v135(constB94))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22495, 22494])).
% 20.44/14.03 tff(22497,plain,
% 20.44/14.03 (v138(constB94) | (~v135(constB94))),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22496, 22436, 22493])).
% 20.44/14.03 tff(22498,plain,
% 20.44/14.03 (~v135(constB94)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22497, 22467])).
% 20.44/14.03 tff(22499,plain,
% 20.44/14.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22500,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22501,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22500, 22499])).
% 20.44/14.03 tff(22502,plain,
% 20.44/14.03 (v135(constB94) | (~v137(constB95))),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22501, 22451, 12504])).
% 20.44/14.03 tff(22503,plain,
% 20.44/14.03 (~v137(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22502, 22498])).
% 20.44/14.03 tff(22504,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v137(VarCurr) | (~v153(VarCurr))) <=> (v137(VarCurr) | (~v153(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22505,plain,
% 20.44/14.03 (![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22504])).
% 20.44/14.03 tff(22506,plain,
% 20.44/14.03 (![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22507,axiom,(![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_35_1_1_3')).
% 20.44/14.03 tff(22508,plain,
% 20.44/14.03 (![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22507, 22506])).
% 20.44/14.03 tff(22509,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22508])).
% 20.44/14.03 tff(22510,plain,
% 20.44/14.03 (![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22509, 22505])).
% 20.44/14.03 tff(22511,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB95) | (~v153(constB95)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB95) | (~v153(constB95)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22512,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB95) | (~v153(constB95)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22513,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB95) | (~v153(constB95))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22512, 22511])).
% 20.44/14.03 tff(22514,plain,
% 20.44/14.03 (~v153(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22513, 22510, 22503])).
% 20.44/14.03 tff(22515,assumption,(v18(constB96)), introduced(assumption)).
% 20.44/14.03 tff(22516,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB96))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22517,plain,
% 20.44/14.03 ($false),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22516, 2627, 22515])).
% 20.44/14.03 tff(22518,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.03 tff(22519,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22520,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22521,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22520, 22519])).
% 20.44/14.03 tff(22522,plain,
% 20.44/14.03 (v22(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22521, 2640, 12641])).
% 20.44/14.03 tff(22523,plain,
% 20.44/14.03 (((~![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))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22524,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22525,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96)),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22524, 22523])).
% 20.44/14.03 tff(22526,plain,
% 20.44/14.03 ((~v19(constB96)) | v18(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22525, 2654, 22522])).
% 20.44/14.03 tff(22527,plain,
% 20.44/14.03 (~v19(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22526, 22518])).
% 20.44/14.03 tff(22528,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22529,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22530,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22529, 22528])).
% 20.44/14.03 tff(22531,plain,
% 20.44/14.03 (v13(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22530, 2669, 22527])).
% 20.44/14.03 tff(22532,plain,
% 20.44/14.03 (((~![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))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22533,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22534,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95)),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22533, 22532])).
% 20.44/14.03 tff(22535,plain,
% 20.44/14.03 ((~v13(constB96)) | v9(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22534, 2686, 12621])).
% 20.44/14.03 tff(22536,plain,
% 20.44/14.03 (v9(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22535, 22531])).
% 20.44/14.03 tff(22537,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22538,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22539,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95)),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22538, 22537])).
% 20.44/14.03 tff(22540,plain,
% 20.44/14.03 ((~v9(constB95)) | v141(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22539, 22396, 12501])).
% 20.44/14.03 tff(22541,plain,
% 20.44/14.03 (v141(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22540, 22536])).
% 20.44/14.03 tff(22542,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB95) | (~v141(constB95)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB95) | (~v141(constB95)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22543,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB95) | (~v141(constB95)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22544,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB95) | (~v141(constB95))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22543, 22542])).
% 20.44/14.03 tff(22545,plain,
% 20.44/14.03 (v140(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22544, 22408, 22541])).
% 20.44/14.03 tff(22546,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v155(VarCurr))) <=> ((~v140(VarCurr)) | (~v155(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22547,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22546])).
% 20.44/14.03 tff(22548,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22549,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1_3')).
% 20.44/14.03 tff(22550,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22549, 22548])).
% 20.44/14.03 tff(22551,plain,(
% 20.44/14.03 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22550])).
% 20.44/14.03 tff(22552,plain,
% 20.44/14.03 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22551, 22547])).
% 20.44/14.03 tff(22553,plain,
% 20.44/14.03 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB95)) | (~v155(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB95)) | (~v155(constB95)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22554,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB95)) | (~v155(constB95)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22555,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB95)) | (~v155(constB95))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22554, 22553])).
% 20.44/14.03 tff(22556,plain,
% 20.44/14.03 (~v155(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22555, 22552, 22545])).
% 20.44/14.03 tff(22557,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr))) <=> (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22558,plain,
% 20.44/14.03 (![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22557])).
% 20.44/14.03 tff(22559,plain,
% 20.44/14.03 (![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22560,plain,
% 20.44/14.03 (^[VarCurr: $i] : trans(monotonicity(rewrite((v155(VarCurr) | v153(VarCurr)) <=> (v153(VarCurr) | v155(VarCurr))), (((v155(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> ((v153(VarCurr) | v155(VarCurr)) | (~v150(VarCurr))))), rewrite(((v153(VarCurr) | v155(VarCurr)) | (~v150(VarCurr))) <=> (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))), (((v155(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22561,plain,
% 20.44/14.03 (![VarCurr: $i] : ((v155(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22560])).
% 20.44/14.03 tff(22562,axiom,(![VarCurr: $i] : ((v155(VarCurr) | v153(VarCurr)) | (~v150(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_3')).
% 20.44/14.03 tff(22563,plain,
% 20.44/14.03 (![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22562, 22561])).
% 20.44/14.03 tff(22564,plain,
% 20.44/14.03 (![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22563, 22559])).
% 20.44/14.03 tff(22565,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22564])).
% 20.44/14.03 tff(22566,plain,
% 20.44/14.03 (![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22565, 22558])).
% 20.44/14.03 tff(22567,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB95) | v155(constB95) | (~v150(constB95)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB95) | v155(constB95) | (~v150(constB95)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22568,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB95) | v155(constB95) | (~v150(constB95)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22569,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB95) | v155(constB95) | (~v150(constB95))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22568, 22567])).
% 20.44/14.03 tff(22570,plain,
% 20.44/14.03 (v153(constB95) | (~v150(constB95))),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22569, 22566, 22556])).
% 20.44/14.03 tff(22571,plain,
% 20.44/14.03 (~v150(constB95)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22570, 22514])).
% 20.44/14.03 tff(22572,plain,
% 20.44/14.03 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22573,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22572])).
% 20.44/14.03 tff(22574,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22575,plain,
% 20.44/14.03 (^[VarNext: $i, VarCurr: $i] : rewrite(((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22576,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22575])).
% 20.44/14.03 tff(22577,axiom,(![VarNext: $i, VarCurr: $i] : ((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_9_1_2')).
% 20.44/14.03 tff(22578,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22577, 22576])).
% 20.44/14.03 tff(22579,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22578, 22574])).
% 20.44/14.03 tff(22580,plain,(
% 20.44/14.03 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22579])).
% 20.44/14.03 tff(22581,plain,
% 20.44/14.03 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22580, 22573])).
% 20.44/14.03 tff(22582,plain,
% 20.44/14.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22583,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22584,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 20.44/14.03 tff(22585,plain,
% 20.44/14.03 (v150(constB95) | (~v152(constB96))),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22584, 22581, 12621])).
% 20.44/14.03 tff(22586,plain,
% 20.44/14.03 (~v152(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22585, 22571])).
% 20.44/14.03 tff(22587,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v152(VarCurr) | (~v155(VarCurr))) <=> (v152(VarCurr) | (~v155(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22588,plain,
% 20.44/14.03 (![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22587])).
% 20.44/14.03 tff(22589,plain,
% 20.44/14.03 (![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22590,axiom,(![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1_2')).
% 20.44/14.03 tff(22591,plain,
% 20.44/14.03 (![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22590, 22589])).
% 20.44/14.03 tff(22592,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22591])).
% 20.44/14.03 tff(22593,plain,
% 20.44/14.03 (![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22592, 22588])).
% 20.44/14.03 tff(22594,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB96) | (~v155(constB96)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB96) | (~v155(constB96)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22595,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB96) | (~v155(constB96)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22596,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB96) | (~v155(constB96))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22595, 22594])).
% 20.44/14.03 tff(22597,plain,
% 20.44/14.03 (~v155(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22596, 22593, 22586])).
% 20.44/14.03 tff(22598,plain,
% 20.44/14.03 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB96)) | (~v141(constB96)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB96)) | (~v141(constB96)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22599,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB96)) | (~v141(constB96)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22600,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB96)) | (~v141(constB96))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22599, 22598])).
% 20.44/14.03 tff(22601,plain,
% 20.44/14.03 (~v141(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22600, 22474, 12641])).
% 20.44/14.03 tff(22602,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v154(VarCurr))) <=> (v141(VarCurr) | (~v154(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22603,plain,
% 20.44/14.03 (![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22602])).
% 20.44/14.03 tff(22604,plain,
% 20.44/14.03 (![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22605,axiom,(![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_34_1_1_2')).
% 20.44/14.03 tff(22606,plain,
% 20.44/14.03 (![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22605, 22604])).
% 20.44/14.03 tff(22607,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22606])).
% 20.44/14.03 tff(22608,plain,
% 20.44/14.03 (![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22607, 22603])).
% 20.44/14.03 tff(22609,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB96) | (~v154(constB96)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB96) | (~v154(constB96)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22610,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB96) | (~v154(constB96)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22611,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB96) | (~v154(constB96))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22610, 22609])).
% 20.44/14.03 tff(22612,plain,
% 20.44/14.03 (~v154(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22611, 22608, 22601])).
% 20.44/14.03 tff(22613,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v154(VarCurr) | (~v153(VarCurr))) <=> (v154(VarCurr) | (~v153(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22614,plain,
% 20.44/14.03 (![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22613])).
% 20.44/14.03 tff(22615,plain,
% 20.44/14.03 (![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22616,axiom,(![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_35_1_1_2')).
% 20.44/14.03 tff(22617,plain,
% 20.44/14.03 (![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22616, 22615])).
% 20.44/14.03 tff(22618,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22617])).
% 20.44/14.03 tff(22619,plain,
% 20.44/14.03 (![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22618, 22614])).
% 20.44/14.03 tff(22620,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB96) | (~v153(constB96)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB96) | (~v153(constB96)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22621,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB96) | (~v153(constB96)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22622,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB96) | (~v153(constB96))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22621, 22620])).
% 20.44/14.03 tff(22623,plain,
% 20.44/14.03 (~v153(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22622, 22619, 22612])).
% 20.44/14.03 tff(22624,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB96) | v155(constB96) | (~v150(constB96)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB96) | v155(constB96) | (~v150(constB96)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22625,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB96) | v155(constB96) | (~v150(constB96)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22626,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB96) | v155(constB96) | (~v150(constB96))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22625, 22624])).
% 20.44/14.03 tff(22627,plain,
% 20.44/14.03 (v155(constB96) | (~v150(constB96))),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22626, 22566, 22623])).
% 20.44/14.03 tff(22628,plain,
% 20.44/14.03 (~v150(constB96)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22627, 22597])).
% 20.44/14.03 tff(22629,plain,
% 20.44/14.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22630,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22631,plain,
% 20.44/14.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22630, 22629])).
% 20.44/14.03 tff(22632,plain,
% 20.44/14.03 (v150(constB96) | (~v152(constB97))),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22631, 22581, 12683])).
% 20.44/14.03 tff(22633,plain,
% 20.44/14.03 (~v152(constB97)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22632, 22628])).
% 20.44/14.03 tff(22634,plain,
% 20.44/14.03 (^[VarCurr: $i] : refl((v152(VarCurr) | (~v164(VarCurr))) <=> (v152(VarCurr) | (~v164(VarCurr))))),
% 20.44/14.03 inference(bind,[status(th)],[])).
% 20.44/14.03 tff(22635,plain,
% 20.44/14.03 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.03 inference(quant_intro,[status(thm)],[22634])).
% 20.44/14.03 tff(22636,plain,
% 20.44/14.03 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22637,axiom,(![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_2')).
% 20.44/14.03 tff(22638,plain,
% 20.44/14.03 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22637, 22636])).
% 20.44/14.03 tff(22639,plain,(
% 20.44/14.03 ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.03 inference(skolemize,[status(sab)],[22638])).
% 20.44/14.03 tff(22640,plain,
% 20.44/14.03 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22639, 22635])).
% 20.44/14.03 tff(22641,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB97) | (~v164(constB97)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB97) | (~v164(constB97)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22642,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB97) | (~v164(constB97)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22643,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB97) | (~v164(constB97))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 20.44/14.03 tff(22644,plain,
% 20.44/14.03 (~v164(constB97)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22643, 22640, 22633])).
% 20.44/14.03 tff(22645,plain,
% 20.44/14.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB91, bitIndex1)) | (~v145(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB91, bitIndex1)) | (~v145(constB91)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22646,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB91, bitIndex1)) | (~v145(constB91)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22647,plain,
% 20.44/14.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB91, bitIndex1)) | (~v145(constB91))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22646, 22645])).
% 20.44/14.03 tff(22648,plain,
% 20.44/14.03 (~v145(constB91)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22647, 2012, 12192])).
% 20.44/14.03 tff(22649,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB91) | (~v144(constB91)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB91) | (~v144(constB91)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22650,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB91) | (~v144(constB91)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22651,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB91) | (~v144(constB91))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22650, 22649])).
% 20.44/14.03 tff(22652,plain,
% 20.44/14.03 (~v144(constB91)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22651, 22349, 22648])).
% 20.44/14.03 tff(22653,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB91) | (~v142(constB91)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB91) | (~v142(constB91)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22654,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB91) | (~v142(constB91)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22655,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB91) | (~v142(constB91))),
% 20.44/14.03 inference(modus_ponens,[status(thm)],[22654, 22653])).
% 20.44/14.03 tff(22656,plain,
% 20.44/14.03 (~v142(constB91)),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22655, 22360, 22652])).
% 20.44/14.03 tff(22657,assumption,(v18(constB92)), introduced(assumption)).
% 20.44/14.03 tff(22658,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB92))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22659,plain,
% 20.44/14.03 ($false),
% 20.44/14.03 inference(unit_resolution,[status(thm)],[22658, 2627, 22657])).
% 20.44/14.03 tff(22660,plain,(~v18(constB92)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.03 tff(22661,plain,
% 20.44/14.03 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92)))),
% 20.44/14.03 inference(rewrite,[status(thm)],[])).
% 20.44/14.03 tff(22662,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))),
% 20.44/14.03 inference(quant_inst,[status(thm)],[])).
% 20.44/14.03 tff(22663,plain,
% 20.44/14.03 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22662, 22661])).
% 20.44/14.04 tff(22664,plain,
% 20.44/14.04 (v22(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22663, 2640, 12279])).
% 20.44/14.04 tff(22665,plain,
% 20.44/14.04 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB92)) | (~v22(constB92)) | v18(constB92))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB92)) | (~v22(constB92)) | v18(constB92))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22666,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB92)) | (~v22(constB92)) | v18(constB92))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22667,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB92)) | (~v22(constB92)) | v18(constB92)),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22666, 22665])).
% 20.44/14.04 tff(22668,plain,
% 20.44/14.04 ((~v19(constB92)) | v18(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22667, 2654, 22664])).
% 20.44/14.04 tff(22669,plain,
% 20.44/14.04 (~v19(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22668, 22660])).
% 20.44/14.04 tff(22670,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22671,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22672,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92)),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22671, 22670])).
% 20.44/14.04 tff(22673,plain,
% 20.44/14.04 (v13(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22672, 2669, 22669])).
% 20.44/14.04 tff(22674,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22675,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22676,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB91, constB92)) | (~v13(constB92)) | v9(constB91)),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22675, 22674])).
% 20.44/14.04 tff(22677,plain,
% 20.44/14.04 ((~v13(constB92)) | v9(constB91)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22676, 2686, 12259])).
% 20.44/14.04 tff(22678,plain,
% 20.44/14.04 (v9(constB91)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22677, 22673])).
% 20.44/14.04 tff(22679,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v141(constB91))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB91) | (~v9(constB91)) | v141(constB91))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22680,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v141(constB91))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22681,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB91) | (~v9(constB91)) | v141(constB91)),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22680, 22679])).
% 20.44/14.04 tff(22682,plain,
% 20.44/14.04 ((~v9(constB91)) | v141(constB91)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22681, 22396, 12137])).
% 20.44/14.04 tff(22683,plain,
% 20.44/14.04 (v141(constB91)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22682, 22678])).
% 20.44/14.04 tff(22684,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB91) | (~v141(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB91) | (~v141(constB91)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22685,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB91) | (~v141(constB91)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22686,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB91) | (~v141(constB91))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22685, 22684])).
% 20.44/14.04 tff(22687,plain,
% 20.44/14.04 (v140(constB91)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22686, 22408, 22683])).
% 20.44/14.04 tff(22688,plain,
% 20.44/14.04 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB91)) | (~v140(constB91)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB91)) | (~v140(constB91)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22689,plain,
% 20.44/14.04 (((~v140(constB91)) | (~v138(constB91))) <=> ((~v138(constB91)) | (~v140(constB91)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22690,plain,
% 20.44/14.04 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB91)) | (~v138(constB91)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB91)) | (~v140(constB91))))),
% 20.44/14.04 inference(monotonicity,[status(thm)],[22689])).
% 20.44/14.04 tff(22691,plain,
% 20.44/14.04 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB91)) | (~v138(constB91)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB91)) | (~v140(constB91)))),
% 20.44/14.04 inference(transitivity,[status(thm)],[22690, 22688])).
% 20.44/14.04 tff(22692,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB91)) | (~v138(constB91)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22693,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB91)) | (~v140(constB91))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22692, 22691])).
% 20.44/14.04 tff(22694,plain,
% 20.44/14.04 (~v138(constB91)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22693, 22419, 22687])).
% 20.44/14.04 tff(22695,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB91) | v142(constB91) | (~v135(constB91)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB91) | v142(constB91) | (~v135(constB91)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22696,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB91) | v142(constB91) | (~v135(constB91)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22697,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB91) | v142(constB91) | (~v135(constB91))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22696, 22695])).
% 20.44/14.04 tff(22698,plain,
% 20.44/14.04 (v142(constB91) | (~v135(constB91))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22697, 22436, 22694])).
% 20.44/14.04 tff(22699,plain,
% 20.44/14.04 (~v135(constB91)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22698, 22656])).
% 20.44/14.04 tff(22700,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22701,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22702,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22701, 22700])).
% 20.44/14.04 tff(22703,plain,
% 20.44/14.04 (v135(constB91) | (~v137(constB92))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22702, 22451, 12259])).
% 20.44/14.04 tff(22704,plain,
% 20.44/14.04 (~v137(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22703, 22699])).
% 20.44/14.04 tff(22705,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB92) | (~v138(constB92)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB92) | (~v138(constB92)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22706,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB92) | (~v138(constB92)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22707,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB92) | (~v138(constB92))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22706, 22705])).
% 20.44/14.04 tff(22708,plain,
% 20.44/14.04 (~v138(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22707, 22463, 22704])).
% 20.44/14.04 tff(22709,plain,
% 20.44/14.04 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB92)) | (~v141(constB92)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB92)) | (~v141(constB92)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22710,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB92)) | (~v141(constB92)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22711,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB92)) | (~v141(constB92))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22710, 22709])).
% 20.44/14.04 tff(22712,plain,
% 20.44/14.04 (~v141(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22711, 22474, 12279])).
% 20.44/14.04 tff(22713,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB92) | (~v144(constB92)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB92) | (~v144(constB92)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22714,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB92) | (~v144(constB92)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22715,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB92) | (~v144(constB92))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22714, 22713])).
% 20.44/14.04 tff(22716,plain,
% 20.44/14.04 (~v144(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22715, 22485, 22712])).
% 20.44/14.04 tff(22717,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB92) | (~v142(constB92)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB92) | (~v142(constB92)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22718,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB92) | (~v142(constB92)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22719,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB92) | (~v142(constB92))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22718, 22717])).
% 20.44/14.04 tff(22720,plain,
% 20.44/14.04 (~v142(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22719, 22360, 22716])).
% 20.44/14.04 tff(22721,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB92) | v142(constB92) | (~v135(constB92)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB92) | v142(constB92) | (~v135(constB92)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22722,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB92) | v142(constB92) | (~v135(constB92)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22723,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB92) | v142(constB92) | (~v135(constB92))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22722, 22721])).
% 20.44/14.04 tff(22724,plain,
% 20.44/14.04 (v138(constB92) | (~v135(constB92))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22723, 22436, 22720])).
% 20.44/14.04 tff(22725,plain,
% 20.44/14.04 (~v135(constB92)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22724, 22708])).
% 20.44/14.04 tff(22726,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22727,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22728,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22727, 22726])).
% 20.44/14.04 tff(22729,plain,
% 20.44/14.04 (v135(constB92) | (~v137(constB93))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22728, 22451, 12321])).
% 20.44/14.04 tff(22730,plain,
% 20.44/14.04 (~v137(constB93)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22729, 22725])).
% 20.44/14.04 tff(22731,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB93) | (~v153(constB93)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB93) | (~v153(constB93)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22732,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB93) | (~v153(constB93)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22733,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB93) | (~v153(constB93))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22732, 22731])).
% 20.44/14.04 tff(22734,plain,
% 20.44/14.04 (~v153(constB93)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22733, 22510, 22730])).
% 20.44/14.04 tff(22735,plain,
% 20.44/14.04 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB93)) | (~v155(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB93)) | (~v155(constB93)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22736,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB93)) | (~v155(constB93)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22737,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB93)) | (~v155(constB93))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22736, 22735])).
% 20.44/14.04 tff(22738,plain,
% 20.44/14.04 (~v155(constB93)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22737, 22552, 22412])).
% 20.44/14.04 tff(22739,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB93) | v155(constB93) | (~v150(constB93)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB93) | v155(constB93) | (~v150(constB93)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22740,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB93) | v155(constB93) | (~v150(constB93)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22741,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB93) | v155(constB93) | (~v150(constB93))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22740, 22739])).
% 20.44/14.04 tff(22742,plain,
% 20.44/14.04 (v153(constB93) | (~v150(constB93))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22741, 22566, 22738])).
% 20.44/14.04 tff(22743,plain,
% 20.44/14.04 (~v150(constB93)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22742, 22734])).
% 20.44/14.04 tff(22744,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22745,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22746,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22745, 22744])).
% 20.44/14.04 tff(22747,plain,
% 20.44/14.04 (v150(constB93) | (~v152(constB94))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22746, 22581, 12442])).
% 20.44/14.04 tff(22748,plain,
% 20.44/14.04 (~v152(constB94)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22747, 22743])).
% 20.44/14.04 tff(22749,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB94) | (~v155(constB94)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB94) | (~v155(constB94)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22750,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB94) | (~v155(constB94)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22751,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB94) | (~v155(constB94))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22750, 22749])).
% 20.44/14.04 tff(22752,plain,
% 20.44/14.04 (~v155(constB94)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22751, 22593, 22748])).
% 20.44/14.04 tff(22753,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB94) | (~v154(constB94)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB94) | (~v154(constB94)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22754,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB94) | (~v154(constB94)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22755,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB94) | (~v154(constB94))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22754, 22753])).
% 20.44/14.04 tff(22756,plain,
% 20.44/14.04 (~v154(constB94)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22755, 22608, 22478])).
% 20.44/14.04 tff(22757,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB94) | (~v153(constB94)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB94) | (~v153(constB94)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22758,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB94) | (~v153(constB94)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22759,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB94) | (~v153(constB94))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22758, 22757])).
% 20.44/14.04 tff(22760,plain,
% 20.44/14.04 (~v153(constB94)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22759, 22619, 22756])).
% 20.44/14.04 tff(22761,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB94) | v155(constB94) | (~v150(constB94)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB94) | v155(constB94) | (~v150(constB94)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22762,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB94) | v155(constB94) | (~v150(constB94)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22763,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB94) | v155(constB94) | (~v150(constB94))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22762, 22761])).
% 20.44/14.04 tff(22764,plain,
% 20.44/14.04 (v155(constB94) | (~v150(constB94))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22763, 22566, 22760])).
% 20.44/14.04 tff(22765,plain,
% 20.44/14.04 (~v150(constB94)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22764, 22752])).
% 20.44/14.04 tff(22766,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22767,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22768,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22767, 22766])).
% 20.44/14.04 tff(22769,plain,
% 20.44/14.04 (v150(constB94) | (~v152(constB95))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22768, 22581, 12504])).
% 20.44/14.04 tff(22770,plain,
% 20.44/14.04 (~v152(constB95)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22769, 22765])).
% 20.44/14.04 tff(22771,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB95) | (~v164(constB95)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB95) | (~v164(constB95)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22772,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB95) | (~v164(constB95)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22773,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB95) | (~v164(constB95))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 20.44/14.04 tff(22774,plain,
% 20.44/14.04 (~v164(constB95)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22773, 22640, 22770])).
% 20.44/14.04 tff(22775,plain,
% 20.44/14.04 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v163(VarCurr))) <=> ((~v140(VarCurr)) | (~v163(VarCurr))))),
% 20.44/14.04 inference(bind,[status(th)],[])).
% 20.44/14.04 tff(22776,plain,
% 20.44/14.04 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 20.44/14.04 inference(quant_intro,[status(thm)],[22775])).
% 20.44/14.04 tff(22777,plain,
% 20.44/14.04 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22778,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_3')).
% 20.44/14.04 tff(22779,plain,
% 20.44/14.04 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22778, 22777])).
% 20.44/14.04 tff(22780,plain,(
% 20.44/14.04 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 20.44/14.04 inference(skolemize,[status(sab)],[22779])).
% 20.44/14.04 tff(22781,plain,
% 20.44/14.04 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22780, 22776])).
% 20.44/14.04 tff(22782,plain,
% 20.44/14.04 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB95)) | (~v163(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB95)) | (~v163(constB95)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22783,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB95)) | (~v163(constB95)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22784,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB95)) | (~v163(constB95))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22783, 22782])).
% 20.44/14.04 tff(22785,plain,
% 20.44/14.04 (~v163(constB95)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22784, 22781, 22545])).
% 20.44/14.04 tff(22786,plain,
% 20.44/14.04 (^[VarCurr: $i] : refl((v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))))),
% 20.44/14.04 inference(bind,[status(th)],[])).
% 20.44/14.04 tff(22787,plain,
% 20.44/14.04 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 20.44/14.04 inference(quant_intro,[status(thm)],[22786])).
% 20.44/14.04 tff(22788,plain,
% 20.44/14.04 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22789,plain,
% 20.44/14.04 (^[VarCurr: $i] : trans(monotonicity(rewrite((v164(VarCurr) | v163(VarCurr)) <=> (v164(VarCurr) | v163(VarCurr))), (((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))))), rewrite(((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))), (((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))))),
% 20.44/14.04 inference(bind,[status(th)],[])).
% 20.44/14.04 tff(22790,plain,
% 20.44/14.04 (![VarCurr: $i] : ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 20.44/14.04 inference(quant_intro,[status(thm)],[22789])).
% 20.44/14.04 tff(22791,axiom,(![VarCurr: $i] : ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40_1_3')).
% 20.44/14.04 tff(22792,plain,
% 20.44/14.04 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22791, 22790])).
% 20.44/14.04 tff(22793,plain,
% 20.44/14.04 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22792, 22788])).
% 20.44/14.04 tff(22794,plain,(
% 20.44/14.04 ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 20.44/14.04 inference(skolemize,[status(sab)],[22793])).
% 20.44/14.04 tff(22795,plain,
% 20.44/14.04 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22794, 22787])).
% 20.44/14.04 tff(22796,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB95)) | v164(constB95) | v163(constB95))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB95)) | v164(constB95) | v163(constB95))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22797,plain,
% 20.44/14.04 ((v164(constB95) | v163(constB95) | (~v160(constB95))) <=> ((~v160(constB95)) | v164(constB95) | v163(constB95))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22798,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB95) | v163(constB95) | (~v160(constB95)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB95)) | v164(constB95) | v163(constB95)))),
% 20.44/14.04 inference(monotonicity,[status(thm)],[22797])).
% 20.44/14.04 tff(22799,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB95) | v163(constB95) | (~v160(constB95)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB95)) | v164(constB95) | v163(constB95))),
% 20.44/14.04 inference(transitivity,[status(thm)],[22798, 22796])).
% 20.44/14.04 tff(22800,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB95) | v163(constB95) | (~v160(constB95)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22801,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB95)) | v164(constB95) | v163(constB95)),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 20.44/14.04 tff(22802,plain,
% 20.44/14.04 ((~v160(constB95)) | v164(constB95)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22801, 22795, 22785])).
% 20.44/14.04 tff(22803,plain,
% 20.44/14.04 (~v160(constB95)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22802, 22774])).
% 20.44/14.04 tff(22804,plain,
% 20.44/14.04 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))))),
% 20.44/14.04 inference(bind,[status(th)],[])).
% 20.44/14.04 tff(22805,plain,
% 20.44/14.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 20.44/14.04 inference(quant_intro,[status(thm)],[22804])).
% 20.44/14.04 tff(22806,plain,
% 20.44/14.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22807,plain,
% 20.44/14.04 (^[VarNext: $i, VarCurr: $i] : rewrite(((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))))),
% 20.44/14.04 inference(bind,[status(th)],[])).
% 20.44/14.04 tff(22808,plain,
% 20.44/14.04 (![VarNext: $i, VarCurr: $i] : ((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 20.44/14.04 inference(quant_intro,[status(thm)],[22807])).
% 20.44/14.04 tff(22809,axiom,(![VarNext: $i, VarCurr: $i] : ((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_10_1_2')).
% 20.44/14.04 tff(22810,plain,
% 20.44/14.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22809, 22808])).
% 20.44/14.04 tff(22811,plain,
% 20.44/14.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22810, 22806])).
% 20.44/14.04 tff(22812,plain,(
% 20.44/14.04 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 20.44/14.04 inference(skolemize,[status(sab)],[22811])).
% 20.44/14.04 tff(22813,plain,
% 20.44/14.04 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22812, 22805])).
% 20.44/14.04 tff(22814,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22815,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22816,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 20.44/14.04 tff(22817,plain,
% 20.44/14.04 (v160(constB95) | (~v162(constB96))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22816, 22813, 12621])).
% 20.44/14.04 tff(22818,plain,
% 20.44/14.04 (~v162(constB96)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22817, 22803])).
% 20.44/14.04 tff(22819,plain,
% 20.44/14.04 (^[VarCurr: $i] : refl((v162(VarCurr) | (~v163(VarCurr))) <=> (v162(VarCurr) | (~v163(VarCurr))))),
% 20.44/14.04 inference(bind,[status(th)],[])).
% 20.44/14.04 tff(22820,plain,
% 20.44/14.04 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 20.44/14.04 inference(quant_intro,[status(thm)],[22819])).
% 20.44/14.04 tff(22821,plain,
% 20.44/14.04 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22822,axiom,(![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 20.44/14.04 tff(22823,plain,
% 20.44/14.04 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 20.44/14.04 tff(22824,plain,(
% 20.44/14.04 ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 20.44/14.04 inference(skolemize,[status(sab)],[22823])).
% 20.44/14.04 tff(22825,plain,
% 20.44/14.04 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22824, 22820])).
% 20.44/14.04 tff(22826,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB96) | (~v163(constB96)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB96) | (~v163(constB96)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22827,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB96) | (~v163(constB96)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22828,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB96) | (~v163(constB96))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22827, 22826])).
% 20.44/14.04 tff(22829,plain,
% 20.44/14.04 (~v163(constB96)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22828, 22825, 22818])).
% 20.44/14.04 tff(22830,plain,
% 20.44/14.04 (^[VarCurr: $i] : refl((v154(VarCurr) | (~v164(VarCurr))) <=> (v154(VarCurr) | (~v164(VarCurr))))),
% 20.44/14.04 inference(bind,[status(th)],[])).
% 20.44/14.04 tff(22831,plain,
% 20.44/14.04 (![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.04 inference(quant_intro,[status(thm)],[22830])).
% 20.44/14.04 tff(22832,plain,
% 20.44/14.04 (![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22833,axiom,(![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_3')).
% 20.44/14.04 tff(22834,plain,
% 20.44/14.04 (![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22833, 22832])).
% 20.44/14.04 tff(22835,plain,(
% 20.44/14.04 ![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.04 inference(skolemize,[status(sab)],[22834])).
% 20.44/14.04 tff(22836,plain,
% 20.44/14.04 (![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22835, 22831])).
% 20.44/14.04 tff(22837,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB96) | (~v164(constB96)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB96) | (~v164(constB96)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22838,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB96) | (~v164(constB96)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22839,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB96) | (~v164(constB96))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22838, 22837])).
% 20.44/14.04 tff(22840,plain,
% 20.44/14.04 (~v164(constB96)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22839, 22836, 22612])).
% 20.44/14.04 tff(22841,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB96)) | v164(constB96) | v163(constB96))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB96)) | v164(constB96) | v163(constB96))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22842,plain,
% 20.44/14.04 ((v164(constB96) | v163(constB96) | (~v160(constB96))) <=> ((~v160(constB96)) | v164(constB96) | v163(constB96))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22843,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB96) | v163(constB96) | (~v160(constB96)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB96)) | v164(constB96) | v163(constB96)))),
% 20.44/14.04 inference(monotonicity,[status(thm)],[22842])).
% 20.44/14.04 tff(22844,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB96) | v163(constB96) | (~v160(constB96)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB96)) | v164(constB96) | v163(constB96))),
% 20.44/14.04 inference(transitivity,[status(thm)],[22843, 22841])).
% 20.44/14.04 tff(22845,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB96) | v163(constB96) | (~v160(constB96)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22846,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB96)) | v164(constB96) | v163(constB96)),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22845, 22844])).
% 20.44/14.04 tff(22847,plain,
% 20.44/14.04 ((~v160(constB96)) | v163(constB96)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22846, 22795, 22840])).
% 20.44/14.04 tff(22848,plain,
% 20.44/14.04 (~v160(constB96)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22847, 22829])).
% 20.44/14.04 tff(22849,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22850,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22851,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22850, 22849])).
% 20.44/14.04 tff(22852,plain,
% 20.44/14.04 (v160(constB96) | (~v162(constB97))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22851, 22813, 12683])).
% 20.44/14.04 tff(22853,plain,
% 20.44/14.04 (~v162(constB97)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22852, 22848])).
% 20.44/14.04 tff(22854,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB97) | (~v163(constB97)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB97) | (~v163(constB97)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22855,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB97) | (~v163(constB97)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22856,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB97) | (~v163(constB97))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22855, 22854])).
% 20.44/14.04 tff(22857,plain,
% 20.44/14.04 (~v163(constB97)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22856, 22825, 22853])).
% 20.44/14.04 tff(22858,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB97)) | v164(constB97) | v163(constB97))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB97)) | v164(constB97) | v163(constB97))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22859,plain,
% 20.44/14.04 ((v164(constB97) | v163(constB97) | (~v160(constB97))) <=> ((~v160(constB97)) | v164(constB97) | v163(constB97))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22860,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB97) | v163(constB97) | (~v160(constB97)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB97)) | v164(constB97) | v163(constB97)))),
% 20.44/14.04 inference(monotonicity,[status(thm)],[22859])).
% 20.44/14.04 tff(22861,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB97) | v163(constB97) | (~v160(constB97)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB97)) | v164(constB97) | v163(constB97))),
% 20.44/14.04 inference(transitivity,[status(thm)],[22860, 22858])).
% 20.44/14.04 tff(22862,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB97) | v163(constB97) | (~v160(constB97)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22863,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB97)) | v164(constB97) | v163(constB97)),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22862, 22861])).
% 20.44/14.04 tff(22864,plain,
% 20.44/14.04 ((~v160(constB97)) | v164(constB97)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22863, 22795, 22857])).
% 20.44/14.04 tff(22865,plain,
% 20.44/14.04 (~v160(constB97)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22864, 22644])).
% 20.44/14.04 tff(22866,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22867,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22868,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22867, 22866])).
% 20.44/14.04 tff(22869,plain,
% 20.44/14.04 (v160(constB97) | (~v162(constB98))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22868, 22813, 12793])).
% 20.44/14.04 tff(22870,plain,
% 20.44/14.04 (~v162(constB98)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22869, 22865])).
% 20.44/14.04 tff(22871,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB98) | (~v163(constB98)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB98) | (~v163(constB98)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22872,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB98) | (~v163(constB98)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22873,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB98) | (~v163(constB98))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22872, 22871])).
% 20.44/14.04 tff(22874,plain,
% 20.44/14.04 (~v163(constB98)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22873, 22825, 22870])).
% 20.44/14.04 tff(22875,plain,
% 20.44/14.04 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB98)) | (~v141(constB98)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB98)) | (~v141(constB98)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22876,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB98)) | (~v141(constB98)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22877,plain,
% 20.44/14.04 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB98)) | (~v141(constB98))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22876, 22875])).
% 20.44/14.04 tff(22878,plain,
% 20.44/14.04 (~v141(constB98)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22877, 22474, 12813])).
% 20.44/14.04 tff(22879,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB98) | (~v154(constB98)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB98) | (~v154(constB98)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22880,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB98) | (~v154(constB98)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22881,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB98) | (~v154(constB98))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22880, 22879])).
% 20.44/14.04 tff(22882,plain,
% 20.44/14.04 (~v154(constB98)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22881, 22608, 22878])).
% 20.44/14.04 tff(22883,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB98) | (~v164(constB98)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB98) | (~v164(constB98)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22884,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB98) | (~v164(constB98)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22885,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB98) | (~v164(constB98))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22884, 22883])).
% 20.44/14.04 tff(22886,plain,
% 20.44/14.04 (~v164(constB98)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22885, 22836, 22882])).
% 20.44/14.04 tff(22887,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB98)) | v164(constB98) | v163(constB98))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB98)) | v164(constB98) | v163(constB98))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22888,plain,
% 20.44/14.04 ((v164(constB98) | v163(constB98) | (~v160(constB98))) <=> ((~v160(constB98)) | v164(constB98) | v163(constB98))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22889,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB98) | v163(constB98) | (~v160(constB98)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB98)) | v164(constB98) | v163(constB98)))),
% 20.44/14.04 inference(monotonicity,[status(thm)],[22888])).
% 20.44/14.04 tff(22890,plain,
% 20.44/14.04 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB98) | v163(constB98) | (~v160(constB98)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB98)) | v164(constB98) | v163(constB98))),
% 20.44/14.04 inference(transitivity,[status(thm)],[22889, 22887])).
% 20.44/14.04 tff(22891,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB98) | v163(constB98) | (~v160(constB98)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22892,plain,
% 20.44/14.04 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB98)) | v164(constB98) | v163(constB98)),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22891, 22890])).
% 20.44/14.04 tff(22893,plain,
% 20.44/14.04 ((~v160(constB98)) | v163(constB98)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22892, 22795, 22886])).
% 20.44/14.04 tff(22894,plain,
% 20.44/14.04 (~v160(constB98)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22893, 22874])).
% 20.44/14.04 tff(22895,plain,
% 20.44/14.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))),
% 20.44/14.04 inference(rewrite,[status(thm)],[])).
% 20.44/14.04 tff(22896,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))),
% 20.44/14.04 inference(quant_inst,[status(thm)],[])).
% 20.44/14.04 tff(22897,plain,
% 20.44/14.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99))),
% 20.44/14.04 inference(modus_ponens,[status(thm)],[22896, 22895])).
% 20.44/14.04 tff(22898,plain,
% 20.44/14.04 (v160(constB98) | (~v162(constB99))),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22897, 22813, 12885])).
% 20.44/14.04 tff(22899,plain,
% 20.44/14.04 (~v162(constB99)),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22898, 22894])).
% 20.44/14.04 tff(22900,plain,
% 20.44/14.04 ($false),
% 20.44/14.04 inference(unit_resolution,[status(thm)],[22899, 22338])).
% 20.44/14.04 tff(22901,plain,(~(constB99 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.04 tff(22902,assumption,(constB25 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.04 tff(22903,plain,
% 20.44/14.04 (v162(constB25) <=> v162(sK0_VarCurr)),
% 20.44/14.05 inference(monotonicity,[status(thm)],[22902])).
% 20.44/14.05 tff(22904,plain,
% 20.44/14.05 (v162(sK0_VarCurr) <=> v162(constB25)),
% 20.44/14.05 inference(symmetry,[status(thm)],[22903])).
% 20.44/14.05 tff(22905,plain,
% 20.44/14.05 (v162(constB25)),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22337, 22904])).
% 20.44/14.05 tff(22906,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB19, bitIndex1)) | (~v145(constB19)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB19, bitIndex1)) | (~v145(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22907,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB19, bitIndex1)) | (~v145(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22908,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB19, bitIndex1)) | (~v145(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 20.44/14.05 tff(22909,plain,
% 20.44/14.05 (~v145(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22908, 2012, 2546])).
% 20.44/14.05 tff(22910,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB19) | (~v144(constB19)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB19) | (~v144(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22911,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB19) | (~v144(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22912,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB19) | (~v144(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22911, 22910])).
% 20.44/14.05 tff(22913,plain,
% 20.44/14.05 (~v144(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22912, 22349, 22909])).
% 20.44/14.05 tff(22914,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB19) | (~v142(constB19)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB19) | (~v142(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22915,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB19) | (~v142(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22916,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB19) | (~v142(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 20.44/14.05 tff(22917,plain,
% 20.44/14.05 (~v142(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22916, 22360, 22913])).
% 20.44/14.05 tff(22918,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v141(constB19))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB19) | (~v9(constB19)) | v141(constB19))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22919,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v141(constB19))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22920,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB19) | (~v9(constB19)) | v141(constB19)),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 20.44/14.05 tff(22921,plain,
% 20.44/14.05 ((~v9(constB19)) | v141(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22920, 22396, 2491])).
% 20.44/14.05 tff(22922,plain,
% 20.44/14.05 (v141(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22921, 2691])).
% 20.44/14.05 tff(22923,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB19) | (~v141(constB19)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB19) | (~v141(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22924,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB19) | (~v141(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22925,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB19) | (~v141(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22924, 22923])).
% 20.44/14.05 tff(22926,plain,
% 20.44/14.05 (v140(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22925, 22408, 22922])).
% 20.44/14.05 tff(22927,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB19)) | (~v138(constB19)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB19)) | (~v138(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22928,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB19)) | (~v138(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22929,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB19)) | (~v138(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 20.44/14.05 tff(22930,plain,
% 20.44/14.05 (~v138(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22929, 22419, 22926])).
% 20.44/14.05 tff(22931,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB19) | v142(constB19) | (~v135(constB19)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB19) | v142(constB19) | (~v135(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22932,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB19) | v142(constB19) | (~v135(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22933,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB19) | v142(constB19) | (~v135(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22932, 22931])).
% 20.44/14.05 tff(22934,plain,
% 20.44/14.05 (v142(constB19) | (~v135(constB19))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22933, 22436, 22930])).
% 20.44/14.05 tff(22935,plain,
% 20.44/14.05 (~v135(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22934, 22917])).
% 20.44/14.05 tff(22936,plain,
% 20.44/14.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB19, constB20)) | v135(constB19) | (~v137(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB19, constB20)) | v135(constB19) | (~v137(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22937,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB19, constB20)) | v135(constB19) | (~v137(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22938,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB19, constB20)) | v135(constB19) | (~v137(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22937, 22936])).
% 20.44/14.05 tff(22939,plain,
% 20.44/14.05 (v135(constB19) | (~v137(constB20))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22938, 22451, 2676])).
% 20.44/14.05 tff(22940,plain,
% 20.44/14.05 (~v137(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22939, 22935])).
% 20.44/14.05 tff(22941,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB20) | (~v138(constB20)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB20) | (~v138(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22942,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB20) | (~v138(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22943,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB20) | (~v138(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22942, 22941])).
% 20.44/14.05 tff(22944,plain,
% 20.44/14.05 (~v138(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22943, 22463, 22940])).
% 20.44/14.05 tff(22945,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB20)) | (~v141(constB20)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB20)) | (~v141(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22946,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB20)) | (~v141(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22947,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB20)) | (~v141(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22946, 22945])).
% 20.44/14.05 tff(22948,plain,
% 20.44/14.05 (~v141(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22947, 22474, 2633])).
% 20.44/14.05 tff(22949,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB20) | (~v144(constB20)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB20) | (~v144(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22950,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB20) | (~v144(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22951,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB20) | (~v144(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22950, 22949])).
% 20.44/14.05 tff(22952,plain,
% 20.44/14.05 (~v144(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22951, 22485, 22948])).
% 20.44/14.05 tff(22953,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB20) | (~v142(constB20)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB20) | (~v142(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22954,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB20) | (~v142(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22955,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB20) | (~v142(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22954, 22953])).
% 20.44/14.05 tff(22956,plain,
% 20.44/14.05 (~v142(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22955, 22360, 22952])).
% 20.44/14.05 tff(22957,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB20) | v142(constB20) | (~v135(constB20)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB20) | v142(constB20) | (~v135(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22958,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB20) | v142(constB20) | (~v135(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22959,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB20) | v142(constB20) | (~v135(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22958, 22957])).
% 20.44/14.05 tff(22960,plain,
% 20.44/14.05 (v138(constB20) | (~v135(constB20))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22959, 22436, 22956])).
% 20.44/14.05 tff(22961,plain,
% 20.44/14.05 (~v135(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22960, 22944])).
% 20.44/14.05 tff(22962,plain,
% 20.44/14.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB20, constB21)) | v135(constB20) | (~v137(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB20, constB21)) | v135(constB20) | (~v137(constB21)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22963,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB20, constB21)) | v135(constB20) | (~v137(constB21)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22964,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB20, constB21)) | v135(constB20) | (~v137(constB21))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22963, 22962])).
% 20.44/14.05 tff(22965,plain,
% 20.44/14.05 (v135(constB20) | (~v137(constB21))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22964, 22451, 2894])).
% 20.44/14.05 tff(22966,plain,
% 20.44/14.05 (~v137(constB21)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22965, 22961])).
% 20.44/14.05 tff(22967,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB21) | (~v153(constB21)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB21) | (~v153(constB21)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22968,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB21) | (~v153(constB21)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22969,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB21) | (~v153(constB21))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22968, 22967])).
% 20.44/14.05 tff(22970,plain,
% 20.44/14.05 (~v153(constB21)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22969, 22510, 22966])).
% 20.44/14.05 tff(22971,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB17, bitIndex1)) | (~v145(constB17)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB17, bitIndex1)) | (~v145(constB17)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22972,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB17, bitIndex1)) | (~v145(constB17)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22973,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB17, bitIndex1)) | (~v145(constB17))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 20.44/14.05 tff(22974,plain,
% 20.44/14.05 (~v145(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22973, 2012, 2352])).
% 20.44/14.05 tff(22975,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB17) | (~v144(constB17)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB17) | (~v144(constB17)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22976,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB17) | (~v144(constB17)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22977,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB17) | (~v144(constB17))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 20.44/14.05 tff(22978,plain,
% 20.44/14.05 (~v144(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22977, 22349, 22974])).
% 20.44/14.05 tff(22979,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB17) | (~v142(constB17)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB17) | (~v142(constB17)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22980,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB17) | (~v142(constB17)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22981,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB17) | (~v142(constB17))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22980, 22979])).
% 20.44/14.05 tff(22982,plain,
% 20.44/14.05 (~v142(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22981, 22360, 22978])).
% 20.44/14.05 tff(22983,assumption,(v18(constB18)), introduced(assumption)).
% 20.44/14.05 tff(22984,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB18))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22985,plain,
% 20.44/14.05 ($false),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22984, 2627, 22983])).
% 20.44/14.05 tff(22986,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.05 tff(22987,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22988,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22989,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22988, 22987])).
% 20.44/14.05 tff(22990,plain,
% 20.44/14.05 (v22(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22989, 2640, 2449])).
% 20.44/14.05 tff(22991,plain,
% 20.44/14.05 (((~![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))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22992,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB18)) | (~v22(constB18)) | v18(constB18))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22993,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB18)) | (~v22(constB18)) | v18(constB18)),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22992, 22991])).
% 20.44/14.05 tff(22994,plain,
% 20.44/14.05 ((~v19(constB18)) | v18(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22993, 2654, 22990])).
% 20.44/14.05 tff(22995,plain,
% 20.44/14.05 (~v19(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22994, 22986])).
% 20.44/14.05 tff(22996,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(22997,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(22998,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[22997, 22996])).
% 20.44/14.05 tff(22999,plain,
% 20.44/14.05 (v13(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[22998, 2669, 22995])).
% 20.44/14.05 tff(23000,plain,
% 20.44/14.05 (((~![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))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23001,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23002,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB17, constB18)) | (~v13(constB18)) | v9(constB17)),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23001, 23000])).
% 20.44/14.05 tff(23003,plain,
% 20.44/14.05 ((~v13(constB18)) | v9(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23002, 2686, 2429])).
% 20.44/14.05 tff(23004,plain,
% 20.44/14.05 (v9(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23003, 22999])).
% 20.44/14.05 tff(23005,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v141(constB17))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB17) | (~v9(constB17)) | v141(constB17))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23006,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v141(constB17))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23007,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB17) | (~v9(constB17)) | v141(constB17)),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23006, 23005])).
% 20.44/14.05 tff(23008,plain,
% 20.44/14.05 ((~v9(constB17)) | v141(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23007, 22396, 2297])).
% 20.44/14.05 tff(23009,plain,
% 20.44/14.05 (v141(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23008, 23004])).
% 20.44/14.05 tff(23010,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB17) | (~v141(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB17) | (~v141(constB17)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23011,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB17) | (~v141(constB17)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23012,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB17) | (~v141(constB17))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23011, 23010])).
% 20.44/14.05 tff(23013,plain,
% 20.44/14.05 (v140(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23012, 22408, 23009])).
% 20.44/14.05 tff(23014,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB17)) | (~v140(constB17)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB17)) | (~v140(constB17)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23015,plain,
% 20.44/14.05 (((~v140(constB17)) | (~v138(constB17))) <=> ((~v138(constB17)) | (~v140(constB17)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23016,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB17)) | (~v138(constB17)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB17)) | (~v140(constB17))))),
% 20.44/14.05 inference(monotonicity,[status(thm)],[23015])).
% 20.44/14.05 tff(23017,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB17)) | (~v138(constB17)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB17)) | (~v140(constB17)))),
% 20.44/14.05 inference(transitivity,[status(thm)],[23016, 23014])).
% 20.44/14.05 tff(23018,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB17)) | (~v138(constB17)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23019,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB17)) | (~v140(constB17))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 20.44/14.05 tff(23020,plain,
% 20.44/14.05 (~v138(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23019, 22419, 23013])).
% 20.44/14.05 tff(23021,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB17) | v142(constB17) | (~v135(constB17)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB17) | v142(constB17) | (~v135(constB17)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23022,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB17) | v142(constB17) | (~v135(constB17)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23023,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB17) | v142(constB17) | (~v135(constB17))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23022, 23021])).
% 20.44/14.05 tff(23024,plain,
% 20.44/14.05 (v142(constB17) | (~v135(constB17))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23023, 22436, 23020])).
% 20.44/14.05 tff(23025,plain,
% 20.44/14.05 (~v135(constB17)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23024, 22982])).
% 20.44/14.05 tff(23026,plain,
% 20.44/14.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB17, constB18)) | v135(constB17) | (~v137(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB17, constB18)) | v135(constB17) | (~v137(constB18)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23027,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB17, constB18)) | v135(constB17) | (~v137(constB18)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23028,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB17, constB18)) | v135(constB17) | (~v137(constB18))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23027, 23026])).
% 20.44/14.05 tff(23029,plain,
% 20.44/14.05 (v135(constB17) | (~v137(constB18))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23028, 22451, 2429])).
% 20.44/14.05 tff(23030,plain,
% 20.44/14.05 (~v137(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23029, 23025])).
% 20.44/14.05 tff(23031,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB18) | (~v138(constB18)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB18) | (~v138(constB18)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23032,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB18) | (~v138(constB18)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23033,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB18) | (~v138(constB18))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23032, 23031])).
% 20.44/14.05 tff(23034,plain,
% 20.44/14.05 (~v138(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23033, 22463, 23030])).
% 20.44/14.05 tff(23035,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB18)) | (~v141(constB18)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB18)) | (~v141(constB18)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23036,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB18)) | (~v141(constB18)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23037,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB18)) | (~v141(constB18))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23036, 23035])).
% 20.44/14.05 tff(23038,plain,
% 20.44/14.05 (~v141(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23037, 22474, 2449])).
% 20.44/14.05 tff(23039,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB18) | (~v144(constB18)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB18) | (~v144(constB18)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23040,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB18) | (~v144(constB18)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23041,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB18) | (~v144(constB18))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23040, 23039])).
% 20.44/14.05 tff(23042,plain,
% 20.44/14.05 (~v144(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23041, 22485, 23038])).
% 20.44/14.05 tff(23043,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB18) | (~v142(constB18)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB18) | (~v142(constB18)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23044,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB18) | (~v142(constB18)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23045,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB18) | (~v142(constB18))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23044, 23043])).
% 20.44/14.05 tff(23046,plain,
% 20.44/14.05 (~v142(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23045, 22360, 23042])).
% 20.44/14.05 tff(23047,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB18) | v142(constB18) | (~v135(constB18)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB18) | v142(constB18) | (~v135(constB18)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23048,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB18) | v142(constB18) | (~v135(constB18)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23049,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB18) | v142(constB18) | (~v135(constB18))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23048, 23047])).
% 20.44/14.05 tff(23050,plain,
% 20.44/14.05 (v138(constB18) | (~v135(constB18))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23049, 22436, 23046])).
% 20.44/14.05 tff(23051,plain,
% 20.44/14.05 (~v135(constB18)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23050, 23034])).
% 20.44/14.05 tff(23052,plain,
% 20.44/14.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB18, constB19)) | v135(constB18) | (~v137(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB18, constB19)) | v135(constB18) | (~v137(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23053,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB18, constB19)) | v135(constB18) | (~v137(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23054,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB18, constB19)) | v135(constB18) | (~v137(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23053, 23052])).
% 20.44/14.05 tff(23055,plain,
% 20.44/14.05 (v135(constB18) | (~v137(constB19))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23054, 22451, 2494])).
% 20.44/14.05 tff(23056,plain,
% 20.44/14.05 (~v137(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23055, 23051])).
% 20.44/14.05 tff(23057,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB19) | (~v153(constB19)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB19) | (~v153(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23058,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB19) | (~v153(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23059,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB19) | (~v153(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23058, 23057])).
% 20.44/14.05 tff(23060,plain,
% 20.44/14.05 (~v153(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23059, 22510, 23056])).
% 20.44/14.05 tff(23061,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB19)) | (~v155(constB19)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB19)) | (~v155(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23062,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB19)) | (~v155(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23063,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB19)) | (~v155(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23062, 23061])).
% 20.44/14.05 tff(23064,plain,
% 20.44/14.05 (~v155(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23063, 22552, 22926])).
% 20.44/14.05 tff(23065,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB19) | v155(constB19) | (~v150(constB19)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB19) | v155(constB19) | (~v150(constB19)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23066,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB19) | v155(constB19) | (~v150(constB19)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23067,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB19) | v155(constB19) | (~v150(constB19))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 20.44/14.05 tff(23068,plain,
% 20.44/14.05 (v153(constB19) | (~v150(constB19))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23067, 22566, 23064])).
% 20.44/14.05 tff(23069,plain,
% 20.44/14.05 (~v150(constB19)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23068, 23060])).
% 20.44/14.05 tff(23070,plain,
% 20.44/14.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB19, constB20)) | v150(constB19) | (~v152(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB19, constB20)) | v150(constB19) | (~v152(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23071,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB19, constB20)) | v150(constB19) | (~v152(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23072,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB19, constB20)) | v150(constB19) | (~v152(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23071, 23070])).
% 20.44/14.05 tff(23073,plain,
% 20.44/14.05 (v150(constB19) | (~v152(constB20))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23072, 22581, 2676])).
% 20.44/14.05 tff(23074,plain,
% 20.44/14.05 (~v152(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23073, 23069])).
% 20.44/14.05 tff(23075,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB20) | (~v155(constB20)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB20) | (~v155(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23076,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB20) | (~v155(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23077,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB20) | (~v155(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23076, 23075])).
% 20.44/14.05 tff(23078,plain,
% 20.44/14.05 (~v155(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23077, 22593, 23074])).
% 20.44/14.05 tff(23079,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB20) | (~v154(constB20)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB20) | (~v154(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23080,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB20) | (~v154(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23081,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB20) | (~v154(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23080, 23079])).
% 20.44/14.05 tff(23082,plain,
% 20.44/14.05 (~v154(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23081, 22608, 22948])).
% 20.44/14.05 tff(23083,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB20) | (~v153(constB20)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB20) | (~v153(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23084,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB20) | (~v153(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23085,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB20) | (~v153(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23084, 23083])).
% 20.44/14.05 tff(23086,plain,
% 20.44/14.05 (~v153(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23085, 22619, 23082])).
% 20.44/14.05 tff(23087,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB20) | v155(constB20) | (~v150(constB20)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB20) | v155(constB20) | (~v150(constB20)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23088,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB20) | v155(constB20) | (~v150(constB20)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23089,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB20) | v155(constB20) | (~v150(constB20))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23088, 23087])).
% 20.44/14.05 tff(23090,plain,
% 20.44/14.05 (v155(constB20) | (~v150(constB20))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23089, 22566, 23086])).
% 20.44/14.05 tff(23091,plain,
% 20.44/14.05 (~v150(constB20)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23090, 23078])).
% 20.44/14.05 tff(23092,plain,
% 20.44/14.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB20, constB21)) | v150(constB20) | (~v152(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB20, constB21)) | v150(constB20) | (~v152(constB21)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23093,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB20, constB21)) | v150(constB20) | (~v152(constB21)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23094,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB20, constB21)) | v150(constB20) | (~v152(constB21))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23093, 23092])).
% 20.44/14.05 tff(23095,plain,
% 20.44/14.05 (v150(constB20) | (~v152(constB21))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23094, 22581, 2894])).
% 20.44/14.05 tff(23096,plain,
% 20.44/14.05 (~v152(constB21)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23095, 23091])).
% 20.44/14.05 tff(23097,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB21) | (~v155(constB21)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB21) | (~v155(constB21)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23098,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB21) | (~v155(constB21)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23099,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB21) | (~v155(constB21))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23098, 23097])).
% 20.44/14.05 tff(23100,plain,
% 20.44/14.05 (~v155(constB21)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23099, 22593, 23096])).
% 20.44/14.05 tff(23101,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB21) | v155(constB21) | (~v150(constB21)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB21) | v155(constB21) | (~v150(constB21)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23102,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB21) | v155(constB21) | (~v150(constB21)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23103,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB21) | v155(constB21) | (~v150(constB21))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23102, 23101])).
% 20.44/14.05 tff(23104,plain,
% 20.44/14.05 (v153(constB21) | (~v150(constB21))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23103, 22566, 23100])).
% 20.44/14.05 tff(23105,plain,
% 20.44/14.05 (~v150(constB21)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23104, 22970])).
% 20.44/14.05 tff(23106,plain,
% 20.44/14.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB21, constB22)) | v150(constB21) | (~v152(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB21, constB22)) | v150(constB21) | (~v152(constB22)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23107,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB21, constB22)) | v150(constB21) | (~v152(constB22)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23108,plain,
% 20.44/14.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB21, constB22)) | v150(constB21) | (~v152(constB22))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23107, 23106])).
% 20.44/14.05 tff(23109,plain,
% 20.44/14.05 (v150(constB21) | (~v152(constB22))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23108, 22581, 3018])).
% 20.44/14.05 tff(23110,plain,
% 20.44/14.05 (~v152(constB22)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23109, 23105])).
% 20.44/14.05 tff(23111,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB22) | (~v155(constB22)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB22) | (~v155(constB22)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23112,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB22) | (~v155(constB22)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23113,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB22) | (~v155(constB22))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23112, 23111])).
% 20.44/14.05 tff(23114,plain,
% 20.44/14.05 (~v155(constB22)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23113, 22593, 23110])).
% 20.44/14.05 tff(23115,plain,
% 20.44/14.05 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB22)) | (~v141(constB22)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB22)) | (~v141(constB22)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23116,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB22)) | (~v141(constB22)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23117,plain,
% 20.44/14.05 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB22)) | (~v141(constB22))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23116, 23115])).
% 20.44/14.05 tff(23118,plain,
% 20.44/14.05 (~v141(constB22)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23117, 22474, 3038])).
% 20.44/14.05 tff(23119,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB22) | (~v154(constB22)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB22) | (~v154(constB22)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23120,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB22) | (~v154(constB22)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23121,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB22) | (~v154(constB22))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23120, 23119])).
% 20.44/14.05 tff(23122,plain,
% 20.44/14.05 (~v154(constB22)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23121, 22608, 23118])).
% 20.44/14.05 tff(23123,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB22) | (~v153(constB22)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB22) | (~v153(constB22)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23124,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB22) | (~v153(constB22)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23125,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB22) | (~v153(constB22))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23124, 23123])).
% 20.44/14.05 tff(23126,plain,
% 20.44/14.05 (~v153(constB22)),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23125, 22619, 23122])).
% 20.44/14.05 tff(23127,plain,
% 20.44/14.05 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB22) | v155(constB22) | (~v150(constB22)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB22) | v155(constB22) | (~v150(constB22)))),
% 20.44/14.05 inference(rewrite,[status(thm)],[])).
% 20.44/14.05 tff(23128,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB22) | v155(constB22) | (~v150(constB22)))),
% 20.44/14.05 inference(quant_inst,[status(thm)],[])).
% 20.44/14.05 tff(23129,plain,
% 20.44/14.05 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB22) | v155(constB22) | (~v150(constB22))),
% 20.44/14.05 inference(modus_ponens,[status(thm)],[23128, 23127])).
% 20.44/14.05 tff(23130,plain,
% 20.44/14.05 (v155(constB22) | (~v150(constB22))),
% 20.44/14.05 inference(unit_resolution,[status(thm)],[23129, 22566, 23126])).
% 20.44/14.06 tff(23131,plain,
% 20.44/14.06 (~v150(constB22)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23130, 23114])).
% 20.44/14.06 tff(23132,plain,
% 20.44/14.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB22, constB23)) | v150(constB22) | (~v152(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB22, constB23)) | v150(constB22) | (~v152(constB23)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23133,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB22, constB23)) | v150(constB22) | (~v152(constB23)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23134,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB22, constB23)) | v150(constB22) | (~v152(constB23))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23133, 23132])).
% 20.44/14.06 tff(23135,plain,
% 20.44/14.06 (v150(constB22) | (~v152(constB23))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23134, 22581, 3080])).
% 20.44/14.06 tff(23136,plain,
% 20.44/14.06 (~v152(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23135, 23131])).
% 20.44/14.06 tff(23137,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB23) | (~v164(constB23)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB23) | (~v164(constB23)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23138,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB23) | (~v164(constB23)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23139,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB23) | (~v164(constB23))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 20.44/14.06 tff(23140,plain,
% 20.44/14.06 (~v164(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23139, 22640, 23136])).
% 20.44/14.06 tff(23141,assumption,(v18(constB24)), introduced(assumption)).
% 20.44/14.06 tff(23142,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB24))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23143,plain,
% 20.44/14.06 ($false),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23142, 2627, 23141])).
% 20.44/14.06 tff(23144,plain,(~v18(constB24)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.06 tff(23145,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB24) | (~v1(constB24)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB24) | (~v1(constB24)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23146,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB24) | (~v1(constB24)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23147,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB24) | (~v1(constB24))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23146, 23145])).
% 20.44/14.06 tff(23148,plain,
% 20.44/14.06 (v22(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23147, 2640, 3217])).
% 20.44/14.06 tff(23149,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB24)) | (~v22(constB24)) | v18(constB24))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB24)) | (~v22(constB24)) | v18(constB24))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23150,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB24)) | (~v22(constB24)) | v18(constB24))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23151,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB24)) | (~v22(constB24)) | v18(constB24)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23150, 23149])).
% 20.44/14.06 tff(23152,plain,
% 20.44/14.06 ((~v19(constB24)) | v18(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23151, 2654, 23148])).
% 20.44/14.06 tff(23153,plain,
% 20.44/14.06 (~v19(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23152, 23144])).
% 20.44/14.06 tff(23154,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB24) | v19(constB24))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB24) | v19(constB24))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23155,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB24) | v19(constB24))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23156,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB24) | v19(constB24)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 20.44/14.06 tff(23157,plain,
% 20.44/14.06 (v13(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23156, 2669, 23153])).
% 20.44/14.06 tff(23158,plain,
% 20.44/14.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23159,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23160,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB23, constB24)) | (~v13(constB24)) | v9(constB23)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23159, 23158])).
% 20.44/14.06 tff(23161,plain,
% 20.44/14.06 ((~v13(constB24)) | v9(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23160, 2686, 3197])).
% 20.44/14.06 tff(23162,plain,
% 20.44/14.06 (v9(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23161, 23157])).
% 20.44/14.06 tff(23163,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB23) | (~v9(constB23)) | v141(constB23))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB23) | (~v9(constB23)) | v141(constB23))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23164,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB23) | (~v9(constB23)) | v141(constB23))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23165,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB23) | (~v9(constB23)) | v141(constB23)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23164, 23163])).
% 20.44/14.06 tff(23166,plain,
% 20.44/14.06 ((~v9(constB23)) | v141(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23165, 22396, 3077])).
% 20.44/14.06 tff(23167,plain,
% 20.44/14.06 (v141(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23166, 23162])).
% 20.44/14.06 tff(23168,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB23) | (~v141(constB23)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB23) | (~v141(constB23)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23169,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB23) | (~v141(constB23)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23170,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB23) | (~v141(constB23))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23169, 23168])).
% 20.44/14.06 tff(23171,plain,
% 20.44/14.06 (v140(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23170, 22408, 23167])).
% 20.44/14.06 tff(23172,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB23)) | (~v163(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB23)) | (~v163(constB23)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23173,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB23)) | (~v163(constB23)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23174,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB23)) | (~v163(constB23))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23173, 23172])).
% 20.44/14.06 tff(23175,plain,
% 20.44/14.06 (~v163(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23174, 22781, 23171])).
% 20.44/14.06 tff(23176,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB23)) | v163(constB23) | v164(constB23))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB23)) | v163(constB23) | v164(constB23))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23177,plain,
% 20.44/14.06 ((v164(constB23) | v163(constB23) | (~v160(constB23))) <=> ((~v160(constB23)) | v163(constB23) | v164(constB23))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23178,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB23) | v163(constB23) | (~v160(constB23)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB23)) | v163(constB23) | v164(constB23)))),
% 20.44/14.06 inference(monotonicity,[status(thm)],[23177])).
% 20.44/14.06 tff(23179,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB23) | v163(constB23) | (~v160(constB23)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB23)) | v163(constB23) | v164(constB23))),
% 20.44/14.06 inference(transitivity,[status(thm)],[23178, 23176])).
% 20.44/14.06 tff(23180,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB23) | v163(constB23) | (~v160(constB23)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23181,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB23)) | v163(constB23) | v164(constB23)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23180, 23179])).
% 20.44/14.06 tff(23182,plain,
% 20.44/14.06 ((~v160(constB23)) | v164(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23181, 22795, 23175])).
% 20.44/14.06 tff(23183,plain,
% 20.44/14.06 (~v160(constB23)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23182, 23140])).
% 20.44/14.06 tff(23184,plain,
% 20.44/14.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB23, constB24)) | v160(constB23) | (~v162(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB23, constB24)) | v160(constB23) | (~v162(constB24)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23185,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB23, constB24)) | v160(constB23) | (~v162(constB24)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23186,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB23, constB24)) | v160(constB23) | (~v162(constB24))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23185, 23184])).
% 20.44/14.06 tff(23187,plain,
% 20.44/14.06 (v160(constB23) | (~v162(constB24))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23186, 22813, 3197])).
% 20.44/14.06 tff(23188,plain,
% 20.44/14.06 (~v162(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23187, 23183])).
% 20.44/14.06 tff(23189,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB24) | (~v163(constB24)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB24) | (~v163(constB24)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23190,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB24) | (~v163(constB24)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23191,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB24) | (~v163(constB24))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23190, 23189])).
% 20.44/14.06 tff(23192,plain,
% 20.44/14.06 (~v163(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23191, 22825, 23188])).
% 20.44/14.06 tff(23193,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB24)) | (~v141(constB24)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB24)) | (~v141(constB24)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23194,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB24)) | (~v141(constB24)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23195,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB24)) | (~v141(constB24))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 20.44/14.06 tff(23196,plain,
% 20.44/14.06 (~v141(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23195, 22474, 3217])).
% 20.44/14.06 tff(23197,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB24) | (~v154(constB24)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB24) | (~v154(constB24)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23198,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB24) | (~v154(constB24)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23199,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB24) | (~v154(constB24))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23198, 23197])).
% 20.44/14.06 tff(23200,plain,
% 20.44/14.06 (~v154(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23199, 22608, 23196])).
% 20.44/14.06 tff(23201,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB24) | (~v164(constB24)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB24) | (~v164(constB24)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23202,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB24) | (~v164(constB24)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23203,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB24) | (~v164(constB24))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23202, 23201])).
% 20.44/14.06 tff(23204,plain,
% 20.44/14.06 (~v164(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23203, 22836, 23200])).
% 20.44/14.06 tff(23205,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB24)) | v164(constB24) | v163(constB24))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB24)) | v164(constB24) | v163(constB24))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23206,plain,
% 20.44/14.06 ((v164(constB24) | v163(constB24) | (~v160(constB24))) <=> ((~v160(constB24)) | v164(constB24) | v163(constB24))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23207,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB24) | v163(constB24) | (~v160(constB24)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB24)) | v164(constB24) | v163(constB24)))),
% 20.44/14.06 inference(monotonicity,[status(thm)],[23206])).
% 20.44/14.06 tff(23208,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB24) | v163(constB24) | (~v160(constB24)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB24)) | v164(constB24) | v163(constB24))),
% 20.44/14.06 inference(transitivity,[status(thm)],[23207, 23205])).
% 20.44/14.06 tff(23209,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB24) | v163(constB24) | (~v160(constB24)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23210,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB24)) | v164(constB24) | v163(constB24)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23209, 23208])).
% 20.44/14.06 tff(23211,plain,
% 20.44/14.06 ((~v160(constB24)) | v163(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23210, 22795, 23204])).
% 20.44/14.06 tff(23212,plain,
% 20.44/14.06 (~v160(constB24)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23211, 23192])).
% 20.44/14.06 tff(23213,plain,
% 20.44/14.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB24, constB25)) | v160(constB24) | (~v162(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB24, constB25)) | v160(constB24) | (~v162(constB25)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23214,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB24, constB25)) | v160(constB24) | (~v162(constB25)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23215,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB24, constB25)) | v160(constB24) | (~v162(constB25))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23214, 23213])).
% 20.44/14.06 tff(23216,plain,
% 20.44/14.06 (v160(constB24) | (~v162(constB25))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23215, 22813, 3259])).
% 20.44/14.06 tff(23217,plain,
% 20.44/14.06 (~v162(constB25)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23216, 23212])).
% 20.44/14.06 tff(23218,plain,
% 20.44/14.06 ($false),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23217, 22905])).
% 20.44/14.06 tff(23219,plain,(~(constB25 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.06 tff(23220,assumption,(constB55 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.06 tff(23221,plain,
% 20.44/14.06 (v162(constB55) <=> v162(sK0_VarCurr)),
% 20.44/14.06 inference(monotonicity,[status(thm)],[23220])).
% 20.44/14.06 tff(23222,plain,
% 20.44/14.06 (v162(sK0_VarCurr) <=> v162(constB55)),
% 20.44/14.06 inference(symmetry,[status(thm)],[23221])).
% 20.44/14.06 tff(23223,plain,
% 20.44/14.06 (v162(constB55)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[22337, 23222])).
% 20.44/14.06 tff(23224,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB49) | (~v144(constB49)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB49) | (~v144(constB49)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23225,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB49) | (~v144(constB49)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23226,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB49) | (~v144(constB49))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23225, 23224])).
% 20.44/14.06 tff(23227,plain,
% 20.44/14.06 (~v144(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23226, 22349, 5910])).
% 20.44/14.06 tff(23228,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB49) | (~v142(constB49)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23229,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB49) | (~v142(constB49)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23230,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB49) | (~v142(constB49))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23229, 23228])).
% 20.44/14.06 tff(23231,plain,
% 20.44/14.06 (~v142(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23230, 22360, 23227])).
% 20.44/14.06 tff(23232,assumption,(v18(constB50)), introduced(assumption)).
% 20.44/14.06 tff(23233,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB50))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23234,plain,
% 20.44/14.06 ($false),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23233, 2627, 23232])).
% 20.44/14.06 tff(23235,plain,(~v18(constB50)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.06 tff(23236,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23237,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23238,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23237, 23236])).
% 20.44/14.06 tff(23239,plain,
% 20.44/14.06 (v22(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23238, 2640, 5872])).
% 20.44/14.06 tff(23240,plain,
% 20.44/14.06 (((~![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))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23241,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB50)) | (~v22(constB50)) | v18(constB50))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23242,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB50)) | (~v22(constB50)) | v18(constB50)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23241, 23240])).
% 20.44/14.06 tff(23243,plain,
% 20.44/14.06 ((~v19(constB50)) | v18(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23242, 2654, 23239])).
% 20.44/14.06 tff(23244,plain,
% 20.44/14.06 (~v19(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23243, 23235])).
% 20.44/14.06 tff(23245,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23246,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23247,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23246, 23245])).
% 20.44/14.06 tff(23248,plain,
% 20.44/14.06 (v13(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23247, 2669, 23244])).
% 20.44/14.06 tff(23249,plain,
% 20.44/14.06 (((~![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))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23250,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23251,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB49, constB50)) | (~v13(constB50)) | v9(constB49)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23250, 23249])).
% 20.44/14.06 tff(23252,plain,
% 20.44/14.06 ((~v13(constB50)) | v9(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23251, 2686, 5852])).
% 20.44/14.06 tff(23253,plain,
% 20.44/14.06 (v9(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23252, 23248])).
% 20.44/14.06 tff(23254,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v141(constB49))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB49) | (~v9(constB49)) | v141(constB49))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23255,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v141(constB49))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23256,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB49) | (~v9(constB49)) | v141(constB49)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23255, 23254])).
% 20.44/14.06 tff(23257,plain,
% 20.44/14.06 ((~v9(constB49)) | v141(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23256, 22396, 5739])).
% 20.44/14.06 tff(23258,plain,
% 20.44/14.06 (v141(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23257, 23253])).
% 20.44/14.06 tff(23259,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB49) | (~v141(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB49) | (~v141(constB49)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23260,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB49) | (~v141(constB49)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23261,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB49) | (~v141(constB49))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23260, 23259])).
% 20.44/14.06 tff(23262,plain,
% 20.44/14.06 (v140(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23261, 22408, 23258])).
% 20.44/14.06 tff(23263,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB49)) | (~v140(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB49)) | (~v140(constB49)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23264,plain,
% 20.44/14.06 (((~v140(constB49)) | (~v138(constB49))) <=> ((~v138(constB49)) | (~v140(constB49)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23265,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB49)) | (~v138(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB49)) | (~v140(constB49))))),
% 20.44/14.06 inference(monotonicity,[status(thm)],[23264])).
% 20.44/14.06 tff(23266,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB49)) | (~v138(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB49)) | (~v140(constB49)))),
% 20.44/14.06 inference(transitivity,[status(thm)],[23265, 23263])).
% 20.44/14.06 tff(23267,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB49)) | (~v138(constB49)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23268,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB49)) | (~v140(constB49))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23267, 23266])).
% 20.44/14.06 tff(23269,plain,
% 20.44/14.06 (~v138(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23268, 22419, 23262])).
% 20.44/14.06 tff(23270,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB49) | v142(constB49) | (~v135(constB49)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB49) | v142(constB49) | (~v135(constB49)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23271,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB49) | v142(constB49) | (~v135(constB49)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23272,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB49) | v142(constB49) | (~v135(constB49))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23271, 23270])).
% 20.44/14.06 tff(23273,plain,
% 20.44/14.06 (v142(constB49) | (~v135(constB49))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23272, 22436, 23269])).
% 20.44/14.06 tff(23274,plain,
% 20.44/14.06 (~v135(constB49)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23273, 23231])).
% 20.44/14.06 tff(23275,plain,
% 20.44/14.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23276,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23277,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23276, 23275])).
% 20.44/14.06 tff(23278,plain,
% 20.44/14.06 (v135(constB49) | (~v137(constB50))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23277, 22451, 5852])).
% 20.44/14.06 tff(23279,plain,
% 20.44/14.06 (~v137(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23278, 23274])).
% 20.44/14.06 tff(23280,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB50) | (~v138(constB50)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB50) | (~v138(constB50)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23281,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB50) | (~v138(constB50)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23282,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB50) | (~v138(constB50))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23281, 23280])).
% 20.44/14.06 tff(23283,plain,
% 20.44/14.06 (~v138(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23282, 22463, 23279])).
% 20.44/14.06 tff(23284,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB50)) | (~v141(constB50)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB50)) | (~v141(constB50)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23285,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB50)) | (~v141(constB50)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23286,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB50)) | (~v141(constB50))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 20.44/14.06 tff(23287,plain,
% 20.44/14.06 (~v141(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23286, 22474, 5872])).
% 20.44/14.06 tff(23288,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB50) | (~v144(constB50)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB50) | (~v144(constB50)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23289,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB50) | (~v144(constB50)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23290,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB50) | (~v144(constB50))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23289, 23288])).
% 20.44/14.06 tff(23291,plain,
% 20.44/14.06 (~v144(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23290, 22485, 23287])).
% 20.44/14.06 tff(23292,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB50) | (~v142(constB50)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB50) | (~v142(constB50)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23293,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB50) | (~v142(constB50)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23294,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB50) | (~v142(constB50))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 20.44/14.06 tff(23295,plain,
% 20.44/14.06 (~v142(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23294, 22360, 23291])).
% 20.44/14.06 tff(23296,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB50) | v142(constB50) | (~v135(constB50)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB50) | v142(constB50) | (~v135(constB50)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23297,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB50) | v142(constB50) | (~v135(constB50)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23298,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB50) | v142(constB50) | (~v135(constB50))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 20.44/14.06 tff(23299,plain,
% 20.44/14.06 (v138(constB50) | (~v135(constB50))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23298, 22436, 23295])).
% 20.44/14.06 tff(23300,plain,
% 20.44/14.06 (~v135(constB50)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23299, 23283])).
% 20.44/14.06 tff(23301,plain,
% 20.44/14.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23302,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23303,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23302, 23301])).
% 20.44/14.06 tff(23304,plain,
% 20.44/14.06 (v135(constB50) | (~v137(constB51))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23303, 22451, 5944])).
% 20.44/14.06 tff(23305,plain,
% 20.44/14.06 (~v137(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23304, 23300])).
% 20.44/14.06 tff(23306,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB51) | (~v153(constB51)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB51) | (~v153(constB51)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23307,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB51) | (~v153(constB51)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23308,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB51) | (~v153(constB51))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23307, 23306])).
% 20.44/14.06 tff(23309,plain,
% 20.44/14.06 (~v153(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23308, 22510, 23305])).
% 20.44/14.06 tff(23310,assumption,(v18(constB52)), introduced(assumption)).
% 20.44/14.06 tff(23311,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB52))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23312,plain,
% 20.44/14.06 ($false),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23311, 2627, 23310])).
% 20.44/14.06 tff(23313,plain,(~v18(constB52)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.06 tff(23314,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23315,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23316,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23315, 23314])).
% 20.44/14.06 tff(23317,plain,
% 20.44/14.06 (v22(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23316, 2640, 6100])).
% 20.44/14.06 tff(23318,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB52)) | (~v22(constB52)) | v18(constB52))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB52)) | (~v22(constB52)) | v18(constB52))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23319,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB52)) | (~v22(constB52)) | v18(constB52))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23320,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB52)) | (~v22(constB52)) | v18(constB52)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23319, 23318])).
% 20.44/14.06 tff(23321,plain,
% 20.44/14.06 ((~v19(constB52)) | v18(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23320, 2654, 23317])).
% 20.44/14.06 tff(23322,plain,
% 20.44/14.06 (~v19(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23321, 23313])).
% 20.44/14.06 tff(23323,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23324,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23325,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23324, 23323])).
% 20.44/14.06 tff(23326,plain,
% 20.44/14.06 (v13(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23325, 2669, 23322])).
% 20.44/14.06 tff(23327,plain,
% 20.44/14.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23328,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23329,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB51, constB52)) | (~v13(constB52)) | v9(constB51)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23328, 23327])).
% 20.44/14.06 tff(23330,plain,
% 20.44/14.06 ((~v13(constB52)) | v9(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23329, 2686, 6080])).
% 20.44/14.06 tff(23331,plain,
% 20.44/14.06 (v9(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23330, 23326])).
% 20.44/14.06 tff(23332,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v141(constB51))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB51) | (~v9(constB51)) | v141(constB51))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23333,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v141(constB51))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23334,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB51) | (~v9(constB51)) | v141(constB51)),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23333, 23332])).
% 20.44/14.06 tff(23335,plain,
% 20.44/14.06 ((~v9(constB51)) | v141(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23334, 22396, 5941])).
% 20.44/14.06 tff(23336,plain,
% 20.44/14.06 (v141(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23335, 23331])).
% 20.44/14.06 tff(23337,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB51) | (~v141(constB51)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB51) | (~v141(constB51)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23338,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB51) | (~v141(constB51)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23339,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB51) | (~v141(constB51))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23338, 23337])).
% 20.44/14.06 tff(23340,plain,
% 20.44/14.06 (v140(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23339, 22408, 23336])).
% 20.44/14.06 tff(23341,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB51)) | (~v155(constB51)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB51)) | (~v155(constB51)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23342,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB51)) | (~v155(constB51)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23343,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB51)) | (~v155(constB51))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23342, 23341])).
% 20.44/14.06 tff(23344,plain,
% 20.44/14.06 (~v155(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23343, 22552, 23340])).
% 20.44/14.06 tff(23345,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB51) | v155(constB51) | (~v150(constB51)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB51) | v155(constB51) | (~v150(constB51)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23346,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB51) | v155(constB51) | (~v150(constB51)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23347,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB51) | v155(constB51) | (~v150(constB51))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23346, 23345])).
% 20.44/14.06 tff(23348,plain,
% 20.44/14.06 (v153(constB51) | (~v150(constB51))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23347, 22566, 23344])).
% 20.44/14.06 tff(23349,plain,
% 20.44/14.06 (~v150(constB51)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23348, 23309])).
% 20.44/14.06 tff(23350,plain,
% 20.44/14.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23351,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23352,plain,
% 20.44/14.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23351, 23350])).
% 20.44/14.06 tff(23353,plain,
% 20.44/14.06 (v150(constB51) | (~v152(constB52))),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23352, 22581, 6080])).
% 20.44/14.06 tff(23354,plain,
% 20.44/14.06 (~v152(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23353, 23349])).
% 20.44/14.06 tff(23355,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB52) | (~v155(constB52)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB52) | (~v155(constB52)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23356,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB52) | (~v155(constB52)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23357,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB52) | (~v155(constB52))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23356, 23355])).
% 20.44/14.06 tff(23358,plain,
% 20.44/14.06 (~v155(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23357, 22593, 23354])).
% 20.44/14.06 tff(23359,plain,
% 20.44/14.06 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB52)) | (~v141(constB52)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB52)) | (~v141(constB52)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23360,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB52)) | (~v141(constB52)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23361,plain,
% 20.44/14.06 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB52)) | (~v141(constB52))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23360, 23359])).
% 20.44/14.06 tff(23362,plain,
% 20.44/14.06 (~v141(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23361, 22474, 6100])).
% 20.44/14.06 tff(23363,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB52) | (~v154(constB52)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB52) | (~v154(constB52)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23364,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB52) | (~v154(constB52)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23365,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB52) | (~v154(constB52))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23364, 23363])).
% 20.44/14.06 tff(23366,plain,
% 20.44/14.06 (~v154(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23365, 22608, 23362])).
% 20.44/14.06 tff(23367,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB52) | (~v153(constB52)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB52) | (~v153(constB52)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23368,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB52) | (~v153(constB52)))),
% 20.44/14.06 inference(quant_inst,[status(thm)],[])).
% 20.44/14.06 tff(23369,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB52) | (~v153(constB52))),
% 20.44/14.06 inference(modus_ponens,[status(thm)],[23368, 23367])).
% 20.44/14.06 tff(23370,plain,
% 20.44/14.06 (~v153(constB52)),
% 20.44/14.06 inference(unit_resolution,[status(thm)],[23369, 22619, 23366])).
% 20.44/14.06 tff(23371,plain,
% 20.44/14.06 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB52) | v155(constB52) | (~v150(constB52)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB52) | v155(constB52) | (~v150(constB52)))),
% 20.44/14.06 inference(rewrite,[status(thm)],[])).
% 20.44/14.06 tff(23372,plain,
% 20.44/14.06 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB52) | v155(constB52) | (~v150(constB52)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23373,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB52) | v155(constB52) | (~v150(constB52))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23372, 23371])).
% 20.44/14.07 tff(23374,plain,
% 20.44/14.07 (v155(constB52) | (~v150(constB52))),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23373, 22566, 23370])).
% 20.44/14.07 tff(23375,plain,
% 20.44/14.07 (~v150(constB52)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23374, 23358])).
% 20.44/14.07 tff(23376,plain,
% 20.44/14.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB52, constB53)) | v150(constB52) | (~v152(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB52, constB53)) | v150(constB52) | (~v152(constB53)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23377,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB52, constB53)) | v150(constB52) | (~v152(constB53)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23378,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB52, constB53)) | v150(constB52) | (~v152(constB53))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23377, 23376])).
% 20.44/14.07 tff(23379,plain,
% 20.44/14.07 (v150(constB52) | (~v152(constB53))),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23378, 22581, 6145])).
% 20.44/14.07 tff(23380,plain,
% 20.44/14.07 (~v152(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23379, 23375])).
% 20.44/14.07 tff(23381,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB53) | (~v164(constB53)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB53) | (~v164(constB53)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23382,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB53) | (~v164(constB53)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23383,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB53) | (~v164(constB53))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23382, 23381])).
% 20.44/14.07 tff(23384,plain,
% 20.44/14.07 (~v164(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23383, 22640, 23380])).
% 20.44/14.07 tff(23385,assumption,(v18(constB54)), introduced(assumption)).
% 20.44/14.07 tff(23386,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB54))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23387,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23386, 2627, 23385])).
% 20.44/14.07 tff(23388,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23389,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23390,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23391,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23390, 23389])).
% 20.44/14.07 tff(23392,plain,
% 20.44/14.07 (v22(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23391, 2640, 6294])).
% 20.44/14.07 tff(23393,plain,
% 20.44/14.07 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB54)) | (~v22(constB54)) | v18(constB54))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB54)) | (~v22(constB54)) | v18(constB54))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23394,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB54)) | (~v22(constB54)) | v18(constB54))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23395,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB54)) | (~v22(constB54)) | v18(constB54)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23394, 23393])).
% 20.44/14.07 tff(23396,plain,
% 20.44/14.07 ((~v19(constB54)) | v18(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23395, 2654, 23392])).
% 20.44/14.07 tff(23397,plain,
% 20.44/14.07 (~v19(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23396, 23388])).
% 20.44/14.07 tff(23398,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23399,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23400,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23399, 23398])).
% 20.44/14.07 tff(23401,plain,
% 20.44/14.07 (v13(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23400, 2669, 23397])).
% 20.44/14.07 tff(23402,plain,
% 20.44/14.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23403,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23404,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB53, constB54)) | (~v13(constB54)) | v9(constB53)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23403, 23402])).
% 20.44/14.07 tff(23405,plain,
% 20.44/14.07 ((~v13(constB54)) | v9(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23404, 2686, 6274])).
% 20.44/14.07 tff(23406,plain,
% 20.44/14.07 (v9(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23405, 23401])).
% 20.44/14.07 tff(23407,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v141(constB53))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB53) | (~v9(constB53)) | v141(constB53))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23408,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v141(constB53))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23409,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB53) | (~v9(constB53)) | v141(constB53)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23408, 23407])).
% 20.44/14.07 tff(23410,plain,
% 20.44/14.07 ((~v9(constB53)) | v141(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23409, 22396, 6142])).
% 20.44/14.07 tff(23411,plain,
% 20.44/14.07 (v141(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23410, 23406])).
% 20.44/14.07 tff(23412,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB53) | (~v141(constB53)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB53) | (~v141(constB53)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23413,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB53) | (~v141(constB53)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23414,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB53) | (~v141(constB53))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23413, 23412])).
% 20.44/14.07 tff(23415,plain,
% 20.44/14.07 (v140(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23414, 22408, 23411])).
% 20.44/14.07 tff(23416,plain,
% 20.44/14.07 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB53)) | (~v163(constB53)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB53)) | (~v163(constB53)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23417,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB53)) | (~v163(constB53)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23418,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB53)) | (~v163(constB53))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23417, 23416])).
% 20.44/14.07 tff(23419,plain,
% 20.44/14.07 (~v163(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23418, 22781, 23415])).
% 20.44/14.07 tff(23420,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB53)) | v163(constB53) | v164(constB53))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB53)) | v163(constB53) | v164(constB53))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23421,plain,
% 20.44/14.07 ((v164(constB53) | v163(constB53) | (~v160(constB53))) <=> ((~v160(constB53)) | v163(constB53) | v164(constB53))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23422,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB53) | v163(constB53) | (~v160(constB53)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB53)) | v163(constB53) | v164(constB53)))),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23421])).
% 20.44/14.07 tff(23423,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB53) | v163(constB53) | (~v160(constB53)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB53)) | v163(constB53) | v164(constB53))),
% 20.44/14.07 inference(transitivity,[status(thm)],[23422, 23420])).
% 20.44/14.07 tff(23424,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB53) | v163(constB53) | (~v160(constB53)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23425,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB53)) | v163(constB53) | v164(constB53)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23424, 23423])).
% 20.44/14.07 tff(23426,plain,
% 20.44/14.07 ((~v160(constB53)) | v164(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23425, 22795, 23419])).
% 20.44/14.07 tff(23427,plain,
% 20.44/14.07 (~v160(constB53)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23426, 23384])).
% 20.44/14.07 tff(23428,plain,
% 20.44/14.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB53, constB54)) | v160(constB53) | (~v162(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB53, constB54)) | v160(constB53) | (~v162(constB54)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23429,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB53, constB54)) | v160(constB53) | (~v162(constB54)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23430,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB53, constB54)) | v160(constB53) | (~v162(constB54))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23429, 23428])).
% 20.44/14.07 tff(23431,plain,
% 20.44/14.07 (v160(constB53) | (~v162(constB54))),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23430, 22813, 6274])).
% 20.44/14.07 tff(23432,plain,
% 20.44/14.07 (~v162(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23431, 23427])).
% 20.44/14.07 tff(23433,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB54) | (~v163(constB54)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB54) | (~v163(constB54)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23434,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB54) | (~v163(constB54)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23435,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB54) | (~v163(constB54))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23434, 23433])).
% 20.44/14.07 tff(23436,plain,
% 20.44/14.07 (~v163(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23435, 22825, 23432])).
% 20.44/14.07 tff(23437,plain,
% 20.44/14.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB54)) | (~v141(constB54)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB54)) | (~v141(constB54)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23438,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB54)) | (~v141(constB54)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23439,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB54)) | (~v141(constB54))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 20.44/14.07 tff(23440,plain,
% 20.44/14.07 (~v141(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23439, 22474, 6294])).
% 20.44/14.07 tff(23441,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB54) | (~v154(constB54)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB54) | (~v154(constB54)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23442,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB54) | (~v154(constB54)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23443,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB54) | (~v154(constB54))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23442, 23441])).
% 20.44/14.07 tff(23444,plain,
% 20.44/14.07 (~v154(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23443, 22608, 23440])).
% 20.44/14.07 tff(23445,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB54) | (~v164(constB54)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB54) | (~v164(constB54)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23446,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB54) | (~v164(constB54)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23447,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB54) | (~v164(constB54))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 20.44/14.07 tff(23448,plain,
% 20.44/14.07 (~v164(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23447, 22836, 23444])).
% 20.44/14.07 tff(23449,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB54)) | v164(constB54) | v163(constB54))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB54)) | v164(constB54) | v163(constB54))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23450,plain,
% 20.44/14.07 ((v164(constB54) | v163(constB54) | (~v160(constB54))) <=> ((~v160(constB54)) | v164(constB54) | v163(constB54))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23451,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB54) | v163(constB54) | (~v160(constB54)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB54)) | v164(constB54) | v163(constB54)))),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23450])).
% 20.44/14.07 tff(23452,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB54) | v163(constB54) | (~v160(constB54)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB54)) | v164(constB54) | v163(constB54))),
% 20.44/14.07 inference(transitivity,[status(thm)],[23451, 23449])).
% 20.44/14.07 tff(23453,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB54) | v163(constB54) | (~v160(constB54)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23454,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB54)) | v164(constB54) | v163(constB54)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23453, 23452])).
% 20.44/14.07 tff(23455,plain,
% 20.44/14.07 ((~v160(constB54)) | v163(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23454, 22795, 23448])).
% 20.44/14.07 tff(23456,plain,
% 20.44/14.07 (~v160(constB54)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23455, 23436])).
% 20.44/14.07 tff(23457,plain,
% 20.44/14.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB54, constB55)) | v160(constB54) | (~v162(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB54, constB55)) | v160(constB54) | (~v162(constB55)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23458,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB54, constB55)) | v160(constB54) | (~v162(constB55)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23459,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB54, constB55)) | v160(constB54) | (~v162(constB55))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23458, 23457])).
% 20.44/14.07 tff(23460,plain,
% 20.44/14.07 (v160(constB54) | (~v162(constB55))),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23459, 22813, 6339])).
% 20.44/14.07 tff(23461,plain,
% 20.44/14.07 (~v162(constB55)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23460, 23456])).
% 20.44/14.07 tff(23462,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23461, 23223])).
% 20.44/14.07 tff(23463,plain,(~(constB55 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23464,assumption,(constB97 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.07 tff(23465,plain,
% 20.44/14.07 (v162(constB97) <=> v162(sK0_VarCurr)),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23464])).
% 20.44/14.07 tff(23466,plain,
% 20.44/14.07 (v162(sK0_VarCurr) <=> v162(constB97)),
% 20.44/14.07 inference(symmetry,[status(thm)],[23465])).
% 20.44/14.07 tff(23467,plain,
% 20.44/14.07 (v162(constB97)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[22337, 23466])).
% 20.44/14.07 tff(23468,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[22853, 23467])).
% 20.44/14.07 tff(23469,plain,(~(constB97 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23470,assumption,(constB60 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.07 tff(23471,plain,
% 20.44/14.07 (v1(constB60) <=> v1(sK0_VarCurr)),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23470])).
% 20.44/14.07 tff(23472,plain,
% 20.44/14.07 (v1(sK0_VarCurr) <=> v1(constB60)),
% 20.44/14.07 inference(symmetry,[status(thm)],[23471])).
% 20.44/14.07 tff(23473,plain,
% 20.44/14.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB60))),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23472])).
% 20.44/14.07 tff(23474,plain,
% 20.44/14.07 (^[VarCurr: $i] : refl((v169(VarCurr) | (~v168(VarCurr))) <=> (v169(VarCurr) | (~v168(VarCurr))))),
% 20.44/14.07 inference(bind,[status(th)],[])).
% 20.44/14.07 tff(23475,plain,
% 20.44/14.07 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.07 inference(quant_intro,[status(thm)],[23474])).
% 20.44/14.07 tff(23476,plain,
% 20.44/14.07 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23477,axiom,(![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1_1')).
% 20.44/14.07 tff(23478,plain,
% 20.44/14.07 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23477, 23476])).
% 20.44/14.07 tff(23479,plain,(
% 20.44/14.07 ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.07 inference(skolemize,[status(sab)],[23478])).
% 20.44/14.07 tff(23480,plain,
% 20.44/14.07 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23479, 23475])).
% 20.44/14.07 tff(23481,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23482,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23483,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23482, 23481])).
% 20.44/14.07 tff(23484,plain,
% 20.44/14.07 (v169(sK0_VarCurr)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23483, 23480, 22326])).
% 20.44/14.07 tff(23485,plain,
% 20.44/14.07 (^[VarCurr: $i] : refl((v170(VarCurr) | (~v169(VarCurr))) <=> (v170(VarCurr) | (~v169(VarCurr))))),
% 20.44/14.07 inference(bind,[status(th)],[])).
% 20.44/14.07 tff(23486,plain,
% 20.44/14.07 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 20.44/14.07 inference(quant_intro,[status(thm)],[23485])).
% 20.44/14.07 tff(23487,plain,
% 20.44/14.07 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23488,axiom,(![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_1_1')).
% 20.44/14.07 tff(23489,plain,
% 20.44/14.07 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 20.44/14.07 tff(23490,plain,(
% 20.44/14.07 ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 20.44/14.07 inference(skolemize,[status(sab)],[23489])).
% 20.44/14.07 tff(23491,plain,
% 20.44/14.07 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23490, 23486])).
% 20.44/14.07 tff(23492,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23493,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23494,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23493, 23492])).
% 20.44/14.07 tff(23495,plain,
% 20.44/14.07 (v170(sK0_VarCurr)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23494, 23491, 23484])).
% 20.44/14.07 tff(23496,plain,
% 20.44/14.07 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v170(VarCurr))) <=> (v141(VarCurr) | (~v170(VarCurr))))),
% 20.44/14.07 inference(bind,[status(th)],[])).
% 20.44/14.07 tff(23497,plain,
% 20.44/14.07 (![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 20.44/14.07 inference(quant_intro,[status(thm)],[23496])).
% 20.44/14.07 tff(23498,plain,
% 20.44/14.07 (![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23499,axiom,(![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_1_1_2')).
% 20.44/14.07 tff(23500,plain,
% 20.44/14.07 (![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23499, 23498])).
% 20.44/14.07 tff(23501,plain,(
% 20.44/14.07 ![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 20.44/14.07 inference(skolemize,[status(sab)],[23500])).
% 20.44/14.07 tff(23502,plain,
% 20.44/14.07 (![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23501, 23497])).
% 20.44/14.07 tff(23503,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))) | (v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))) | v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23504,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))) | (v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23505,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v170(VarCurr)))) | v141(sK0_VarCurr) | (~v170(sK0_VarCurr))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23504, 23503])).
% 20.44/14.07 tff(23506,plain,
% 20.44/14.07 (v141(sK0_VarCurr)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23505, 23502, 23495])).
% 20.44/14.07 tff(23507,plain,
% 20.44/14.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23508,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23509,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23508, 23507])).
% 20.44/14.07 tff(23510,plain,
% 20.44/14.07 (~v1(sK0_VarCurr)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23509, 22474, 23506])).
% 20.44/14.07 tff(23511,plain,
% 20.44/14.07 (~v1(constB60)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23510, 23473])).
% 20.44/14.07 tff(23512,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[6846, 23511])).
% 20.44/14.07 tff(23513,plain,(~(constB60 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23514,assumption,(constB82 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.07 tff(23515,plain,
% 20.44/14.07 (v1(constB82) <=> v1(sK0_VarCurr)),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23514])).
% 20.44/14.07 tff(23516,plain,
% 20.44/14.07 (v1(sK0_VarCurr) <=> v1(constB82)),
% 20.44/14.07 inference(symmetry,[status(thm)],[23515])).
% 20.44/14.07 tff(23517,plain,
% 20.44/14.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB82))),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23516])).
% 20.44/14.07 tff(23518,plain,
% 20.44/14.07 (~v1(constB82)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23510, 23517])).
% 20.44/14.07 tff(23519,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[9265, 23518])).
% 20.44/14.07 tff(23520,plain,(~(constB82 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23521,assumption,(constB180 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.07 tff(23522,plain,
% 20.44/14.07 (v1(constB180) <=> v1(sK0_VarCurr)),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23521])).
% 20.44/14.07 tff(23523,plain,
% 20.44/14.07 (v1(sK0_VarCurr) <=> v1(constB180)),
% 20.44/14.07 inference(symmetry,[status(thm)],[23522])).
% 20.44/14.07 tff(23524,plain,
% 20.44/14.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB180))),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23523])).
% 20.44/14.07 tff(23525,plain,
% 20.44/14.07 (~v1(constB180)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23510, 23524])).
% 20.44/14.07 tff(23526,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[21343, 23525])).
% 20.44/14.07 tff(23527,plain,(~(constB180 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23528,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.07 tff(23529,plain,
% 20.44/14.07 (v84(constB155, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23528])).
% 20.44/14.07 tff(23530,plain,
% 20.44/14.07 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB155, bitIndex2)),
% 20.44/14.07 inference(symmetry,[status(thm)],[23529])).
% 20.44/14.07 tff(23531,plain,
% 20.44/14.07 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB155, bitIndex2))),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23530])).
% 20.44/14.07 tff(23532,plain,
% 20.44/14.07 (~v84(constB155, bitIndex2)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[5, 23531])).
% 20.44/14.07 tff(23533,plain,
% 20.44/14.07 (v121(constB153, bitIndex2)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[18793, 18563])).
% 20.44/14.07 tff(23534,plain,
% 20.44/14.07 (v123(constB154, bitIndex2)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[18798, 23533])).
% 20.44/14.07 tff(23535,plain,
% 20.44/14.07 (v84(constB154, bitIndex2)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[18806, 23534])).
% 20.44/14.07 tff(23536,plain,
% 20.44/14.07 (v84(constB155, bitIndex2)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[18815, 23535])).
% 20.44/14.07 tff(23537,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23536, 23532])).
% 20.44/14.07 tff(23538,plain,((~(constB155 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23539,plain,
% 20.44/14.07 (~(constB155 = sK0_VarCurr)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23538, 5])).
% 20.44/14.07 tff(23540,assumption,(constB174 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.07 tff(23541,plain,
% 20.44/14.07 (v1(constB174) <=> v1(sK0_VarCurr)),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23540])).
% 20.44/14.07 tff(23542,plain,
% 20.44/14.07 (v1(sK0_VarCurr) <=> v1(constB174)),
% 20.44/14.07 inference(symmetry,[status(thm)],[23541])).
% 20.44/14.07 tff(23543,plain,
% 20.44/14.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB174))),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23542])).
% 20.44/14.07 tff(23544,plain,
% 20.44/14.07 (~v1(constB174)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23510, 23543])).
% 20.44/14.07 tff(23545,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[20757, 23544])).
% 20.44/14.07 tff(23546,plain,(~(constB174 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23547,assumption,(constB62 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.07 tff(23548,plain,
% 20.44/14.07 (v1(constB62) <=> v1(sK0_VarCurr)),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23547])).
% 20.44/14.07 tff(23549,plain,
% 20.44/14.07 (v1(sK0_VarCurr) <=> v1(constB62)),
% 20.44/14.07 inference(symmetry,[status(thm)],[23548])).
% 20.44/14.07 tff(23550,plain,
% 20.44/14.07 ((~v1(sK0_VarCurr)) <=> (~v1(constB62))),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23549])).
% 20.44/14.07 tff(23551,plain,
% 20.44/14.07 (~v1(constB62)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23510, 23550])).
% 20.44/14.07 tff(23552,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[7021, 23551])).
% 20.44/14.07 tff(23553,plain,(~(constB62 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23554,assumption,(constB111 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.07 tff(23555,plain,
% 20.44/14.07 (v162(constB111) <=> v162(sK0_VarCurr)),
% 20.44/14.07 inference(monotonicity,[status(thm)],[23554])).
% 20.44/14.07 tff(23556,plain,
% 20.44/14.07 (v162(sK0_VarCurr) <=> v162(constB111)),
% 20.44/14.07 inference(symmetry,[status(thm)],[23555])).
% 20.44/14.07 tff(23557,plain,
% 20.44/14.07 (v162(constB111)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[22337, 23556])).
% 20.44/14.07 tff(23558,plain,
% 20.44/14.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v145(constB105)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23559,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v145(constB105)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23560,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v145(constB105))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23559, 23558])).
% 20.44/14.07 tff(23561,plain,
% 20.44/14.07 (~v145(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23560, 10327, 13571])).
% 20.44/14.07 tff(23562,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB105) | (~v144(constB105)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB105) | (~v144(constB105)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23563,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB105) | (~v144(constB105)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23564,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB105) | (~v144(constB105))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23563, 23562])).
% 20.44/14.07 tff(23565,plain,
% 20.44/14.07 (~v144(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23564, 22349, 23561])).
% 20.44/14.07 tff(23566,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB105) | (~v142(constB105)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23567,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB105) | (~v142(constB105)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23568,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB105) | (~v142(constB105))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23567, 23566])).
% 20.44/14.07 tff(23569,plain,
% 20.44/14.07 (~v142(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23568, 22360, 23565])).
% 20.44/14.07 tff(23570,assumption,(v18(constB106)), introduced(assumption)).
% 20.44/14.07 tff(23571,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB106))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23572,plain,
% 20.44/14.07 ($false),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23571, 2627, 23570])).
% 20.44/14.07 tff(23573,plain,(~v18(constB106)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.07 tff(23574,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB106) | (~v1(constB106)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB106) | (~v1(constB106)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23575,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB106) | (~v1(constB106)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23576,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB106) | (~v1(constB106))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 20.44/14.07 tff(23577,plain,
% 20.44/14.07 (v22(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23576, 2640, 13694])).
% 20.44/14.07 tff(23578,plain,
% 20.44/14.07 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB106)) | (~v22(constB106)) | v18(constB106))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB106)) | (~v22(constB106)) | v18(constB106))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23579,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB106)) | (~v22(constB106)) | v18(constB106))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23580,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB106)) | (~v22(constB106)) | v18(constB106)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23579, 23578])).
% 20.44/14.07 tff(23581,plain,
% 20.44/14.07 ((~v19(constB106)) | v18(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23580, 2654, 23577])).
% 20.44/14.07 tff(23582,plain,
% 20.44/14.07 (~v19(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23581, 23573])).
% 20.44/14.07 tff(23583,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB106) | v19(constB106))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB106) | v19(constB106))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23584,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB106) | v19(constB106))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23585,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB106) | v19(constB106)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23584, 23583])).
% 20.44/14.07 tff(23586,plain,
% 20.44/14.07 (v13(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23585, 2669, 23582])).
% 20.44/14.07 tff(23587,plain,
% 20.44/14.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23588,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23589,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB105, constB106)) | (~v13(constB106)) | v9(constB105)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23588, 23587])).
% 20.44/14.07 tff(23590,plain,
% 20.44/14.07 ((~v13(constB106)) | v9(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23589, 2686, 13674])).
% 20.44/14.07 tff(23591,plain,
% 20.44/14.07 (v9(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23590, 23586])).
% 20.44/14.07 tff(23592,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB105) | (~v9(constB105)) | v141(constB105))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB105) | (~v9(constB105)) | v141(constB105))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23593,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB105) | (~v9(constB105)) | v141(constB105))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23594,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB105) | (~v9(constB105)) | v141(constB105)),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23593, 23592])).
% 20.44/14.07 tff(23595,plain,
% 20.44/14.07 ((~v9(constB105)) | v141(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23594, 22396, 13547])).
% 20.44/14.07 tff(23596,plain,
% 20.44/14.07 (v141(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23595, 23591])).
% 20.44/14.07 tff(23597,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB105) | (~v141(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB105) | (~v141(constB105)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23598,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB105) | (~v141(constB105)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23599,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB105) | (~v141(constB105))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23598, 23597])).
% 20.44/14.07 tff(23600,plain,
% 20.44/14.07 (v140(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23599, 22408, 23596])).
% 20.44/14.07 tff(23601,plain,
% 20.44/14.07 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB105)) | (~v138(constB105)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB105)) | (~v138(constB105)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23602,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB105)) | (~v138(constB105)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23603,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB105)) | (~v138(constB105))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23602, 23601])).
% 20.44/14.07 tff(23604,plain,
% 20.44/14.07 (~v138(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23603, 22419, 23600])).
% 20.44/14.07 tff(23605,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB105) | v142(constB105) | (~v135(constB105)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB105) | v142(constB105) | (~v135(constB105)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23606,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB105) | v142(constB105) | (~v135(constB105)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23607,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB105) | v142(constB105) | (~v135(constB105))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23606, 23605])).
% 20.44/14.07 tff(23608,plain,
% 20.44/14.07 (v142(constB105) | (~v135(constB105))),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23607, 22436, 23604])).
% 20.44/14.07 tff(23609,plain,
% 20.44/14.07 (~v135(constB105)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23608, 23569])).
% 20.44/14.07 tff(23610,plain,
% 20.44/14.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23611,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23612,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23611, 23610])).
% 20.44/14.07 tff(23613,plain,
% 20.44/14.07 (v135(constB105) | (~v137(constB106))),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23612, 22451, 13674])).
% 20.44/14.07 tff(23614,plain,
% 20.44/14.07 (~v137(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23613, 23609])).
% 20.44/14.07 tff(23615,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB106) | (~v138(constB106)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB106) | (~v138(constB106)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23616,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB106) | (~v138(constB106)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23617,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB106) | (~v138(constB106))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23616, 23615])).
% 20.44/14.07 tff(23618,plain,
% 20.44/14.07 (~v138(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23617, 22463, 23614])).
% 20.44/14.07 tff(23619,plain,
% 20.44/14.07 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB106)) | (~v141(constB106)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB106)) | (~v141(constB106)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23620,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB106)) | (~v141(constB106)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23621,plain,
% 20.44/14.07 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB106)) | (~v141(constB106))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23620, 23619])).
% 20.44/14.07 tff(23622,plain,
% 20.44/14.07 (~v141(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23621, 22474, 13694])).
% 20.44/14.07 tff(23623,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB106) | (~v144(constB106)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB106) | (~v144(constB106)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23624,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB106) | (~v144(constB106)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23625,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB106) | (~v144(constB106))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23624, 23623])).
% 20.44/14.07 tff(23626,plain,
% 20.44/14.07 (~v144(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23625, 22485, 23622])).
% 20.44/14.07 tff(23627,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB106) | (~v142(constB106)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB106) | (~v142(constB106)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23628,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB106) | (~v142(constB106)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23629,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB106) | (~v142(constB106))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23628, 23627])).
% 20.44/14.07 tff(23630,plain,
% 20.44/14.07 (~v142(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23629, 22360, 23626])).
% 20.44/14.07 tff(23631,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB106) | v142(constB106) | (~v135(constB106)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB106) | v142(constB106) | (~v135(constB106)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23632,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB106) | v142(constB106) | (~v135(constB106)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23633,plain,
% 20.44/14.07 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB106) | v142(constB106) | (~v135(constB106))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23632, 23631])).
% 20.44/14.07 tff(23634,plain,
% 20.44/14.07 (v138(constB106) | (~v135(constB106))),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23633, 22436, 23630])).
% 20.44/14.07 tff(23635,plain,
% 20.44/14.07 (~v135(constB106)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23634, 23618])).
% 20.44/14.07 tff(23636,plain,
% 20.44/14.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))),
% 20.44/14.07 inference(rewrite,[status(thm)],[])).
% 20.44/14.07 tff(23637,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))),
% 20.44/14.07 inference(quant_inst,[status(thm)],[])).
% 20.44/14.07 tff(23638,plain,
% 20.44/14.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107))),
% 20.44/14.07 inference(modus_ponens,[status(thm)],[23637, 23636])).
% 20.44/14.07 tff(23639,plain,
% 20.44/14.07 (v135(constB106) | (~v137(constB107))),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23638, 22451, 13736])).
% 20.44/14.07 tff(23640,plain,
% 20.44/14.07 (~v137(constB107)),
% 20.44/14.07 inference(unit_resolution,[status(thm)],[23639, 23635])).
% 20.44/14.07 tff(23641,plain,
% 20.44/14.07 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB107) | (~v153(constB107)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB107) | (~v153(constB107)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23642,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB107) | (~v153(constB107)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23643,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB107) | (~v153(constB107))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23642, 23641])).
% 20.44/14.08 tff(23644,plain,
% 20.44/14.08 (~v153(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23643, 22510, 23640])).
% 20.44/14.08 tff(23645,assumption,(v18(constB108)), introduced(assumption)).
% 20.44/14.08 tff(23646,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB108))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23647,plain,
% 20.44/14.08 ($false),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23646, 2627, 23645])).
% 20.44/14.08 tff(23648,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.08 tff(23649,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23650,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23651,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23650, 23649])).
% 20.44/14.08 tff(23652,plain,
% 20.44/14.08 (v22(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23651, 2640, 13870])).
% 20.44/14.08 tff(23653,plain,
% 20.44/14.08 (((~![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))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23654,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB108)) | (~v22(constB108)) | v18(constB108))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23655,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB108)) | (~v22(constB108)) | v18(constB108)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 20.44/14.08 tff(23656,plain,
% 20.44/14.08 ((~v19(constB108)) | v18(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23655, 2654, 23652])).
% 20.44/14.08 tff(23657,plain,
% 20.44/14.08 (~v19(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23656, 23648])).
% 20.44/14.08 tff(23658,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23659,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23660,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23659, 23658])).
% 20.44/14.08 tff(23661,plain,
% 20.44/14.08 (v13(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23660, 2669, 23657])).
% 20.44/14.08 tff(23662,plain,
% 20.44/14.08 (((~![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))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23663,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23664,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB107, constB108)) | (~v13(constB108)) | v9(constB107)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23663, 23662])).
% 20.44/14.08 tff(23665,plain,
% 20.44/14.08 ((~v13(constB108)) | v9(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23664, 2686, 13850])).
% 20.44/14.08 tff(23666,plain,
% 20.44/14.08 (v9(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23665, 23661])).
% 20.44/14.08 tff(23667,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v141(constB107))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB107) | (~v9(constB107)) | v141(constB107))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23668,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v141(constB107))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23669,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB107) | (~v9(constB107)) | v141(constB107)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23668, 23667])).
% 20.44/14.08 tff(23670,plain,
% 20.44/14.08 ((~v9(constB107)) | v141(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23669, 22396, 13733])).
% 20.44/14.08 tff(23671,plain,
% 20.44/14.08 (v141(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23670, 23666])).
% 20.44/14.08 tff(23672,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB107) | (~v141(constB107)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB107) | (~v141(constB107)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23673,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB107) | (~v141(constB107)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23674,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB107) | (~v141(constB107))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23673, 23672])).
% 20.44/14.08 tff(23675,plain,
% 20.44/14.08 (v140(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23674, 22408, 23671])).
% 20.44/14.08 tff(23676,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB107)) | (~v155(constB107)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB107)) | (~v155(constB107)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23677,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB107)) | (~v155(constB107)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23678,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB107)) | (~v155(constB107))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23677, 23676])).
% 20.44/14.08 tff(23679,plain,
% 20.44/14.08 (~v155(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23678, 22552, 23675])).
% 20.44/14.08 tff(23680,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB107) | v155(constB107) | (~v150(constB107)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB107) | v155(constB107) | (~v150(constB107)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23681,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB107) | v155(constB107) | (~v150(constB107)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23682,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB107) | v155(constB107) | (~v150(constB107))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23681, 23680])).
% 20.44/14.08 tff(23683,plain,
% 20.44/14.08 (v153(constB107) | (~v150(constB107))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23682, 22566, 23679])).
% 20.44/14.08 tff(23684,plain,
% 20.44/14.08 (~v150(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23683, 23644])).
% 20.44/14.08 tff(23685,plain,
% 20.44/14.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23686,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23687,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23686, 23685])).
% 20.44/14.08 tff(23688,plain,
% 20.44/14.08 (v150(constB107) | (~v152(constB108))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23687, 22581, 13850])).
% 20.44/14.08 tff(23689,plain,
% 20.44/14.08 (~v152(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23688, 23684])).
% 20.44/14.08 tff(23690,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB108) | (~v155(constB108)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB108) | (~v155(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23691,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB108) | (~v155(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23692,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB108) | (~v155(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23691, 23690])).
% 20.44/14.08 tff(23693,plain,
% 20.44/14.08 (~v155(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23692, 22593, 23689])).
% 20.44/14.08 tff(23694,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB108)) | (~v141(constB108)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB108)) | (~v141(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23695,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB108)) | (~v141(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23696,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB108)) | (~v141(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23695, 23694])).
% 20.44/14.08 tff(23697,plain,
% 20.44/14.08 (~v141(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23696, 22474, 13870])).
% 20.44/14.08 tff(23698,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB108) | (~v154(constB108)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB108) | (~v154(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23699,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB108) | (~v154(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23700,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB108) | (~v154(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23699, 23698])).
% 20.44/14.08 tff(23701,plain,
% 20.44/14.08 (~v154(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23700, 22608, 23697])).
% 20.44/14.08 tff(23702,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB108) | (~v153(constB108)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB108) | (~v153(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23703,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB108) | (~v153(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23704,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB108) | (~v153(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23703, 23702])).
% 20.44/14.08 tff(23705,plain,
% 20.44/14.08 (~v153(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23704, 22619, 23701])).
% 20.44/14.08 tff(23706,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB108) | v155(constB108) | (~v150(constB108)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB108) | v155(constB108) | (~v150(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23707,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB108) | v155(constB108) | (~v150(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23708,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB108) | v155(constB108) | (~v150(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23707, 23706])).
% 20.44/14.08 tff(23709,plain,
% 20.44/14.08 (v155(constB108) | (~v150(constB108))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23708, 22566, 23705])).
% 20.44/14.08 tff(23710,plain,
% 20.44/14.08 (~v150(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23709, 23693])).
% 20.44/14.08 tff(23711,plain,
% 20.44/14.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23712,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23713,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23712, 23711])).
% 20.44/14.08 tff(23714,plain,
% 20.44/14.08 (v150(constB108) | (~v152(constB109))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23713, 22581, 13912])).
% 20.44/14.08 tff(23715,plain,
% 20.44/14.08 (~v152(constB109)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23714, 23710])).
% 20.44/14.08 tff(23716,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB109) | (~v164(constB109)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB109) | (~v164(constB109)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23717,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB109) | (~v164(constB109)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23718,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB109) | (~v164(constB109))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23717, 23716])).
% 20.44/14.08 tff(23719,plain,
% 20.44/14.08 (~v164(constB109)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23718, 22640, 23715])).
% 20.44/14.08 tff(23720,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB103, bitIndex1)) | (~v145(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB103, bitIndex1)) | (~v145(constB103)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23721,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB103, bitIndex1)) | (~v145(constB103)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23722,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB103, bitIndex1)) | (~v145(constB103))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23721, 23720])).
% 20.44/14.08 tff(23723,plain,
% 20.44/14.08 (~v145(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23722, 2012, 13448])).
% 20.44/14.08 tff(23724,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB103) | (~v144(constB103)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB103) | (~v144(constB103)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23725,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB103) | (~v144(constB103)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23726,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB103) | (~v144(constB103))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23725, 23724])).
% 20.44/14.08 tff(23727,plain,
% 20.44/14.08 (~v144(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23726, 22349, 23723])).
% 20.44/14.08 tff(23728,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB103) | (~v142(constB103)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB103) | (~v142(constB103)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23729,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB103) | (~v142(constB103)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23730,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB103) | (~v142(constB103))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 20.44/14.08 tff(23731,plain,
% 20.44/14.08 (~v142(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23730, 22360, 23727])).
% 20.44/14.08 tff(23732,assumption,(v18(constB104)), introduced(assumption)).
% 20.44/14.08 tff(23733,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB104))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23734,plain,
% 20.44/14.08 ($false),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23733, 2627, 23732])).
% 20.44/14.08 tff(23735,plain,(~v18(constB104)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.08 tff(23736,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23737,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23738,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23737, 23736])).
% 20.44/14.08 tff(23739,plain,
% 20.44/14.08 (v22(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23738, 2640, 13508])).
% 20.44/14.08 tff(23740,plain,
% 20.44/14.08 (((~![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))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23741,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB104)) | (~v22(constB104)) | v18(constB104))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23742,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB104)) | (~v22(constB104)) | v18(constB104)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23741, 23740])).
% 20.44/14.08 tff(23743,plain,
% 20.44/14.08 ((~v19(constB104)) | v18(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23742, 2654, 23739])).
% 20.44/14.08 tff(23744,plain,
% 20.44/14.08 (~v19(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23743, 23735])).
% 20.44/14.08 tff(23745,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23746,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23747,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23746, 23745])).
% 20.44/14.08 tff(23748,plain,
% 20.44/14.08 (v13(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23747, 2669, 23744])).
% 20.44/14.08 tff(23749,plain,
% 20.44/14.08 (((~![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))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23750,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23751,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB103, constB104)) | (~v13(constB104)) | v9(constB103)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 20.44/14.08 tff(23752,plain,
% 20.44/14.08 ((~v13(constB104)) | v9(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23751, 2686, 13488])).
% 20.44/14.08 tff(23753,plain,
% 20.44/14.08 (v9(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23752, 23748])).
% 20.44/14.08 tff(23754,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v141(constB103))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB103) | (~v9(constB103)) | v141(constB103))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23755,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v141(constB103))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23756,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB103) | (~v9(constB103)) | v141(constB103)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23755, 23754])).
% 20.44/14.08 tff(23757,plain,
% 20.44/14.08 ((~v9(constB103)) | v141(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23756, 22396, 13331])).
% 20.44/14.08 tff(23758,plain,
% 20.44/14.08 (v141(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23757, 23753])).
% 20.44/14.08 tff(23759,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB103) | (~v141(constB103)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB103) | (~v141(constB103)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23760,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB103) | (~v141(constB103)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23761,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB103) | (~v141(constB103))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23760, 23759])).
% 20.44/14.08 tff(23762,plain,
% 20.44/14.08 (v140(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23761, 22408, 23758])).
% 20.44/14.08 tff(23763,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB103)) | (~v140(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB103)) | (~v140(constB103)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23764,plain,
% 20.44/14.08 (((~v140(constB103)) | (~v138(constB103))) <=> ((~v138(constB103)) | (~v140(constB103)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23765,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB103)) | (~v138(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB103)) | (~v140(constB103))))),
% 20.44/14.08 inference(monotonicity,[status(thm)],[23764])).
% 20.44/14.08 tff(23766,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB103)) | (~v138(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB103)) | (~v140(constB103)))),
% 20.44/14.08 inference(transitivity,[status(thm)],[23765, 23763])).
% 20.44/14.08 tff(23767,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB103)) | (~v138(constB103)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23768,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB103)) | (~v140(constB103))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23767, 23766])).
% 20.44/14.08 tff(23769,plain,
% 20.44/14.08 (~v138(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23768, 22419, 23762])).
% 20.44/14.08 tff(23770,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB103) | v142(constB103) | (~v135(constB103)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB103) | v142(constB103) | (~v135(constB103)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23771,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB103) | v142(constB103) | (~v135(constB103)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23772,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB103) | v142(constB103) | (~v135(constB103))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23771, 23770])).
% 20.44/14.08 tff(23773,plain,
% 20.44/14.08 (v142(constB103) | (~v135(constB103))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23772, 22436, 23769])).
% 20.44/14.08 tff(23774,plain,
% 20.44/14.08 (~v135(constB103)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23773, 23731])).
% 20.44/14.08 tff(23775,plain,
% 20.44/14.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23776,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23777,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23776, 23775])).
% 20.44/14.08 tff(23778,plain,
% 20.44/14.08 (v135(constB103) | (~v137(constB104))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23777, 22451, 13488])).
% 20.44/14.08 tff(23779,plain,
% 20.44/14.08 (~v137(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23778, 23774])).
% 20.44/14.08 tff(23780,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB104) | (~v138(constB104)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB104) | (~v138(constB104)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23781,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB104) | (~v138(constB104)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23782,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB104) | (~v138(constB104))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23781, 23780])).
% 20.44/14.08 tff(23783,plain,
% 20.44/14.08 (~v138(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23782, 22463, 23779])).
% 20.44/14.08 tff(23784,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB104)) | (~v141(constB104)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB104)) | (~v141(constB104)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23785,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB104)) | (~v141(constB104)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23786,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB104)) | (~v141(constB104))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23785, 23784])).
% 20.44/14.08 tff(23787,plain,
% 20.44/14.08 (~v141(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23786, 22474, 13508])).
% 20.44/14.08 tff(23788,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB104) | (~v144(constB104)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB104) | (~v144(constB104)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23789,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB104) | (~v144(constB104)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23790,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB104) | (~v144(constB104))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23789, 23788])).
% 20.44/14.08 tff(23791,plain,
% 20.44/14.08 (~v144(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23790, 22485, 23787])).
% 20.44/14.08 tff(23792,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB104) | (~v142(constB104)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB104) | (~v142(constB104)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23793,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB104) | (~v142(constB104)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23794,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB104) | (~v142(constB104))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23793, 23792])).
% 20.44/14.08 tff(23795,plain,
% 20.44/14.08 (~v142(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23794, 22360, 23791])).
% 20.44/14.08 tff(23796,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB104) | v142(constB104) | (~v135(constB104)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB104) | v142(constB104) | (~v135(constB104)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23797,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB104) | v142(constB104) | (~v135(constB104)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23798,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB104) | v142(constB104) | (~v135(constB104))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23797, 23796])).
% 20.44/14.08 tff(23799,plain,
% 20.44/14.08 (v138(constB104) | (~v135(constB104))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23798, 22436, 23795])).
% 20.44/14.08 tff(23800,plain,
% 20.44/14.08 (~v135(constB104)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23799, 23783])).
% 20.44/14.08 tff(23801,plain,
% 20.44/14.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23802,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23803,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 20.44/14.08 tff(23804,plain,
% 20.44/14.08 (v135(constB104) | (~v137(constB105))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23803, 22451, 13550])).
% 20.44/14.08 tff(23805,plain,
% 20.44/14.08 (~v137(constB105)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23804, 23800])).
% 20.44/14.08 tff(23806,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB105) | (~v153(constB105)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB105) | (~v153(constB105)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23807,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB105) | (~v153(constB105)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23808,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB105) | (~v153(constB105))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23807, 23806])).
% 20.44/14.08 tff(23809,plain,
% 20.44/14.08 (~v153(constB105)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23808, 22510, 23805])).
% 20.44/14.08 tff(23810,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB105)) | (~v155(constB105)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB105)) | (~v155(constB105)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23811,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB105)) | (~v155(constB105)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23812,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB105)) | (~v155(constB105))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23811, 23810])).
% 20.44/14.08 tff(23813,plain,
% 20.44/14.08 (~v155(constB105)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23812, 22552, 23600])).
% 20.44/14.08 tff(23814,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB105) | v155(constB105) | (~v150(constB105)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB105) | v155(constB105) | (~v150(constB105)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23815,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB105) | v155(constB105) | (~v150(constB105)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23816,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB105) | v155(constB105) | (~v150(constB105))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23815, 23814])).
% 20.44/14.08 tff(23817,plain,
% 20.44/14.08 (v153(constB105) | (~v150(constB105))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23816, 22566, 23813])).
% 20.44/14.08 tff(23818,plain,
% 20.44/14.08 (~v150(constB105)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23817, 23809])).
% 20.44/14.08 tff(23819,plain,
% 20.44/14.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB105, constB106)) | v150(constB105) | (~v152(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB105, constB106)) | v150(constB105) | (~v152(constB106)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23820,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB105, constB106)) | v150(constB105) | (~v152(constB106)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23821,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB105, constB106)) | v150(constB105) | (~v152(constB106))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 20.44/14.08 tff(23822,plain,
% 20.44/14.08 (v150(constB105) | (~v152(constB106))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23821, 22581, 13674])).
% 20.44/14.08 tff(23823,plain,
% 20.44/14.08 (~v152(constB106)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23822, 23818])).
% 20.44/14.08 tff(23824,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB106) | (~v155(constB106)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB106) | (~v155(constB106)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23825,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB106) | (~v155(constB106)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23826,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB106) | (~v155(constB106))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23825, 23824])).
% 20.44/14.08 tff(23827,plain,
% 20.44/14.08 (~v155(constB106)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23826, 22593, 23823])).
% 20.44/14.08 tff(23828,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB106) | (~v154(constB106)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB106) | (~v154(constB106)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23829,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB106) | (~v154(constB106)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23830,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB106) | (~v154(constB106))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23829, 23828])).
% 20.44/14.08 tff(23831,plain,
% 20.44/14.08 (~v154(constB106)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23830, 22608, 23622])).
% 20.44/14.08 tff(23832,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB106) | (~v153(constB106)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB106) | (~v153(constB106)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23833,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB106) | (~v153(constB106)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23834,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB106) | (~v153(constB106))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 20.44/14.08 tff(23835,plain,
% 20.44/14.08 (~v153(constB106)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23834, 22619, 23831])).
% 20.44/14.08 tff(23836,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB106) | v155(constB106) | (~v150(constB106)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB106) | v155(constB106) | (~v150(constB106)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23837,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB106) | v155(constB106) | (~v150(constB106)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23838,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB106) | v155(constB106) | (~v150(constB106))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23837, 23836])).
% 20.44/14.08 tff(23839,plain,
% 20.44/14.08 (v155(constB106) | (~v150(constB106))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23838, 22566, 23835])).
% 20.44/14.08 tff(23840,plain,
% 20.44/14.08 (~v150(constB106)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23839, 23827])).
% 20.44/14.08 tff(23841,plain,
% 20.44/14.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB106, constB107)) | v150(constB106) | (~v152(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB106, constB107)) | v150(constB106) | (~v152(constB107)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23842,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB106, constB107)) | v150(constB106) | (~v152(constB107)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23843,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB106, constB107)) | v150(constB106) | (~v152(constB107))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 20.44/14.08 tff(23844,plain,
% 20.44/14.08 (v150(constB106) | (~v152(constB107))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23843, 22581, 13736])).
% 20.44/14.08 tff(23845,plain,
% 20.44/14.08 (~v152(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23844, 23840])).
% 20.44/14.08 tff(23846,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB107) | (~v164(constB107)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB107) | (~v164(constB107)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23847,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB107) | (~v164(constB107)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23848,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB107) | (~v164(constB107))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23847, 23846])).
% 20.44/14.08 tff(23849,plain,
% 20.44/14.08 (~v164(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23848, 22640, 23845])).
% 20.44/14.08 tff(23850,plain,
% 20.44/14.08 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB107)) | (~v163(constB107)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB107)) | (~v163(constB107)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23851,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB107)) | (~v163(constB107)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23852,plain,
% 20.44/14.08 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB107)) | (~v163(constB107))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23851, 23850])).
% 20.44/14.08 tff(23853,plain,
% 20.44/14.08 (~v163(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23852, 22781, 23675])).
% 20.44/14.08 tff(23854,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB107)) | v163(constB107) | v164(constB107))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB107)) | v163(constB107) | v164(constB107))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23855,plain,
% 20.44/14.08 ((v164(constB107) | v163(constB107) | (~v160(constB107))) <=> ((~v160(constB107)) | v163(constB107) | v164(constB107))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23856,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB107) | v163(constB107) | (~v160(constB107)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB107)) | v163(constB107) | v164(constB107)))),
% 20.44/14.08 inference(monotonicity,[status(thm)],[23855])).
% 20.44/14.08 tff(23857,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB107) | v163(constB107) | (~v160(constB107)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB107)) | v163(constB107) | v164(constB107))),
% 20.44/14.08 inference(transitivity,[status(thm)],[23856, 23854])).
% 20.44/14.08 tff(23858,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB107) | v163(constB107) | (~v160(constB107)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23859,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB107)) | v163(constB107) | v164(constB107)),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23858, 23857])).
% 20.44/14.08 tff(23860,plain,
% 20.44/14.08 ((~v160(constB107)) | v164(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23859, 22795, 23853])).
% 20.44/14.08 tff(23861,plain,
% 20.44/14.08 (~v160(constB107)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23860, 23849])).
% 20.44/14.08 tff(23862,plain,
% 20.44/14.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB107, constB108)) | v160(constB107) | (~v162(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB107, constB108)) | v160(constB107) | (~v162(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23863,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB107, constB108)) | v160(constB107) | (~v162(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23864,plain,
% 20.44/14.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB107, constB108)) | v160(constB107) | (~v162(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23863, 23862])).
% 20.44/14.08 tff(23865,plain,
% 20.44/14.08 (v160(constB107) | (~v162(constB108))),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23864, 22813, 13850])).
% 20.44/14.08 tff(23866,plain,
% 20.44/14.08 (~v162(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23865, 23861])).
% 20.44/14.08 tff(23867,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB108) | (~v163(constB108)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB108) | (~v163(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23868,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB108) | (~v163(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23869,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB108) | (~v163(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 20.44/14.08 tff(23870,plain,
% 20.44/14.08 (~v163(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23869, 22825, 23866])).
% 20.44/14.08 tff(23871,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB108) | (~v164(constB108)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB108) | (~v164(constB108)))),
% 20.44/14.08 inference(rewrite,[status(thm)],[])).
% 20.44/14.08 tff(23872,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB108) | (~v164(constB108)))),
% 20.44/14.08 inference(quant_inst,[status(thm)],[])).
% 20.44/14.08 tff(23873,plain,
% 20.44/14.08 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB108) | (~v164(constB108))),
% 20.44/14.08 inference(modus_ponens,[status(thm)],[23872, 23871])).
% 20.44/14.08 tff(23874,plain,
% 20.44/14.08 (~v164(constB108)),
% 20.44/14.08 inference(unit_resolution,[status(thm)],[23873, 22836, 23701])).
% 20.44/14.08 tff(23875,plain,
% 20.44/14.08 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB108)) | v164(constB108) | v163(constB108))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB108)) | v164(constB108) | v163(constB108))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23876,plain,
% 20.44/14.09 ((v164(constB108) | v163(constB108) | (~v160(constB108))) <=> ((~v160(constB108)) | v164(constB108) | v163(constB108))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23877,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB108) | v163(constB108) | (~v160(constB108)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB108)) | v164(constB108) | v163(constB108)))),
% 20.44/14.09 inference(monotonicity,[status(thm)],[23876])).
% 20.44/14.09 tff(23878,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB108) | v163(constB108) | (~v160(constB108)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB108)) | v164(constB108) | v163(constB108))),
% 20.44/14.09 inference(transitivity,[status(thm)],[23877, 23875])).
% 20.44/14.09 tff(23879,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB108) | v163(constB108) | (~v160(constB108)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23880,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB108)) | v164(constB108) | v163(constB108)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23879, 23878])).
% 20.44/14.09 tff(23881,plain,
% 20.44/14.09 ((~v160(constB108)) | v163(constB108)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23880, 22795, 23874])).
% 20.44/14.09 tff(23882,plain,
% 20.44/14.09 (~v160(constB108)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23881, 23870])).
% 20.44/14.09 tff(23883,plain,
% 20.44/14.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB108, constB109)) | v160(constB108) | (~v162(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB108, constB109)) | v160(constB108) | (~v162(constB109)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23884,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB108, constB109)) | v160(constB108) | (~v162(constB109)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23885,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB108, constB109)) | v160(constB108) | (~v162(constB109))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23884, 23883])).
% 20.44/14.09 tff(23886,plain,
% 20.44/14.09 (v160(constB108) | (~v162(constB109))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23885, 22813, 13912])).
% 20.44/14.09 tff(23887,plain,
% 20.44/14.09 (~v162(constB109)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23886, 23882])).
% 20.44/14.09 tff(23888,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB109) | (~v163(constB109)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB109) | (~v163(constB109)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23889,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB109) | (~v163(constB109)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23890,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB109) | (~v163(constB109))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23889, 23888])).
% 20.44/14.09 tff(23891,plain,
% 20.44/14.09 (~v163(constB109)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23890, 22825, 23887])).
% 20.44/14.09 tff(23892,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB109)) | v163(constB109) | v164(constB109))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB109)) | v163(constB109) | v164(constB109))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23893,plain,
% 20.44/14.09 ((v164(constB109) | v163(constB109) | (~v160(constB109))) <=> ((~v160(constB109)) | v163(constB109) | v164(constB109))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23894,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB109) | v163(constB109) | (~v160(constB109)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB109)) | v163(constB109) | v164(constB109)))),
% 20.44/14.09 inference(monotonicity,[status(thm)],[23893])).
% 20.44/14.09 tff(23895,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB109) | v163(constB109) | (~v160(constB109)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB109)) | v163(constB109) | v164(constB109))),
% 20.44/14.09 inference(transitivity,[status(thm)],[23894, 23892])).
% 20.44/14.09 tff(23896,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB109) | v163(constB109) | (~v160(constB109)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23897,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB109)) | v163(constB109) | v164(constB109)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23896, 23895])).
% 20.44/14.09 tff(23898,plain,
% 20.44/14.09 ((~v160(constB109)) | v164(constB109)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23897, 22795, 23891])).
% 20.44/14.09 tff(23899,plain,
% 20.44/14.09 (~v160(constB109)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23898, 23719])).
% 20.44/14.09 tff(23900,plain,
% 20.44/14.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23901,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23902,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23901, 23900])).
% 20.44/14.09 tff(23903,plain,
% 20.44/14.09 (v160(constB109) | (~v162(constB110))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23902, 22813, 14010])).
% 20.44/14.09 tff(23904,plain,
% 20.44/14.09 (~v162(constB110)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23903, 23899])).
% 20.44/14.09 tff(23905,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB110) | (~v163(constB110)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB110) | (~v163(constB110)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23906,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB110) | (~v163(constB110)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23907,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB110) | (~v163(constB110))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 20.44/14.09 tff(23908,plain,
% 20.44/14.09 (~v163(constB110)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23907, 22825, 23904])).
% 20.44/14.09 tff(23909,plain,
% 20.44/14.09 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB110)) | (~v141(constB110)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB110)) | (~v141(constB110)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23910,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB110)) | (~v141(constB110)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23911,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB110)) | (~v141(constB110))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23910, 23909])).
% 20.44/14.09 tff(23912,plain,
% 20.44/14.09 (~v141(constB110)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23911, 22474, 14094])).
% 20.44/14.09 tff(23913,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB110) | (~v154(constB110)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB110) | (~v154(constB110)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23914,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB110) | (~v154(constB110)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23915,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB110) | (~v154(constB110))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 20.44/14.09 tff(23916,plain,
% 20.44/14.09 (~v154(constB110)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23915, 22608, 23912])).
% 20.44/14.09 tff(23917,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB110) | (~v164(constB110)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB110) | (~v164(constB110)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23918,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB110) | (~v164(constB110)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23919,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB110) | (~v164(constB110))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23918, 23917])).
% 20.44/14.09 tff(23920,plain,
% 20.44/14.09 (~v164(constB110)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23919, 22836, 23916])).
% 20.44/14.09 tff(23921,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB110)) | v164(constB110) | v163(constB110))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB110)) | v164(constB110) | v163(constB110))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23922,plain,
% 20.44/14.09 ((v164(constB110) | v163(constB110) | (~v160(constB110))) <=> ((~v160(constB110)) | v164(constB110) | v163(constB110))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23923,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB110) | v163(constB110) | (~v160(constB110)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB110)) | v164(constB110) | v163(constB110)))),
% 20.44/14.09 inference(monotonicity,[status(thm)],[23922])).
% 20.44/14.09 tff(23924,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB110) | v163(constB110) | (~v160(constB110)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB110)) | v164(constB110) | v163(constB110))),
% 20.44/14.09 inference(transitivity,[status(thm)],[23923, 23921])).
% 20.44/14.09 tff(23925,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB110) | v163(constB110) | (~v160(constB110)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23926,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB110)) | v164(constB110) | v163(constB110)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 20.44/14.09 tff(23927,plain,
% 20.44/14.09 ((~v160(constB110)) | v163(constB110)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23926, 22795, 23920])).
% 20.44/14.09 tff(23928,plain,
% 20.44/14.09 (~v160(constB110)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23927, 23908])).
% 20.44/14.09 tff(23929,plain,
% 20.44/14.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23930,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23931,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23930, 23929])).
% 20.44/14.09 tff(23932,plain,
% 20.44/14.09 (v160(constB110) | (~v162(constB111))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23931, 22813, 14121])).
% 20.44/14.09 tff(23933,plain,
% 20.44/14.09 (~v162(constB111)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23932, 23928])).
% 20.44/14.09 tff(23934,plain,
% 20.44/14.09 ($false),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23933, 23557])).
% 20.44/14.09 tff(23935,plain,(~(constB111 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.09 tff(23936,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.09 tff(23937,plain,
% 20.44/14.09 (v162(constB195) <=> v162(sK0_VarCurr)),
% 20.44/14.09 inference(monotonicity,[status(thm)],[23936])).
% 20.44/14.09 tff(23938,plain,
% 20.44/14.09 (v162(sK0_VarCurr) <=> v162(constB195)),
% 20.44/14.09 inference(symmetry,[status(thm)],[23937])).
% 20.44/14.09 tff(23939,plain,
% 20.44/14.09 (v162(constB195)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[22337, 23938])).
% 20.44/14.09 tff(23940,plain,
% 20.44/14.09 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB189, bitIndex2)) | (~v145(constB189)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB189, bitIndex2)) | (~v145(constB189)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23941,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB189, bitIndex2)) | (~v145(constB189)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23942,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB189, bitIndex2)) | (~v145(constB189))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23941, 23940])).
% 20.44/14.09 tff(23943,plain,
% 20.44/14.09 (~v145(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23942, 10327, 22261])).
% 20.44/14.09 tff(23944,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB189) | (~v144(constB189)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB189) | (~v144(constB189)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23945,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB189) | (~v144(constB189)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23946,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB189) | (~v144(constB189))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23945, 23944])).
% 20.44/14.09 tff(23947,plain,
% 20.44/14.09 (~v144(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23946, 22349, 23943])).
% 20.44/14.09 tff(23948,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB189) | (~v142(constB189)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB189) | (~v142(constB189)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23949,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB189) | (~v142(constB189)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23950,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB189) | (~v142(constB189))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23949, 23948])).
% 20.44/14.09 tff(23951,plain,
% 20.44/14.09 (~v142(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23950, 22360, 23947])).
% 20.44/14.09 tff(23952,assumption,(v18(constB190)), introduced(assumption)).
% 20.44/14.09 tff(23953,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB190))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23954,plain,
% 20.44/14.09 ($false),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23953, 2627, 23952])).
% 20.44/14.09 tff(23955,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.09 tff(23956,plain,
% 20.44/14.09 (v1(constB190) <=> v1(constB190)),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23957,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 20.44/14.09 tff(23958,plain,
% 20.44/14.09 (v1(constB190)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23957, 23956])).
% 20.44/14.09 tff(23959,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23960,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23961,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23960, 23959])).
% 20.44/14.09 tff(23962,plain,
% 20.44/14.09 (v22(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23961, 2640, 23958])).
% 20.44/14.09 tff(23963,plain,
% 20.44/14.09 (((~![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))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23964,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23965,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23964, 23963])).
% 20.44/14.09 tff(23966,plain,
% 20.44/14.09 ((~v19(constB190)) | v18(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23965, 2654, 23962])).
% 20.44/14.09 tff(23967,plain,
% 20.44/14.09 (~v19(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23966, 23955])).
% 20.44/14.09 tff(23968,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23969,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23970,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23969, 23968])).
% 20.44/14.09 tff(23971,plain,
% 20.44/14.09 (v13(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23970, 2669, 23967])).
% 20.44/14.09 tff(23972,plain,
% 20.44/14.09 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23973,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 20.44/14.09 tff(23974,plain,
% 20.44/14.09 (nextState(constB189, constB190)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23973, 23972])).
% 20.44/14.09 tff(23975,plain,
% 20.44/14.09 (((~![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))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23976,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23977,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23976, 23975])).
% 20.44/14.09 tff(23978,plain,
% 20.44/14.09 ((~v13(constB190)) | v9(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23977, 2686, 23974])).
% 20.44/14.09 tff(23979,plain,
% 20.44/14.09 (v9(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23978, 23971])).
% 20.44/14.09 tff(23980,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v141(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB189) | (~v9(constB189)) | v141(constB189))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23981,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v141(constB189))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23982,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB189) | (~v9(constB189)) | v141(constB189)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23981, 23980])).
% 20.44/14.09 tff(23983,plain,
% 20.44/14.09 ((~v9(constB189)) | v141(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23982, 22396, 22237])).
% 20.44/14.09 tff(23984,plain,
% 20.44/14.09 (v141(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23983, 23979])).
% 20.44/14.09 tff(23985,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB189) | (~v141(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB189) | (~v141(constB189)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23986,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB189) | (~v141(constB189)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23987,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB189) | (~v141(constB189))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23986, 23985])).
% 20.44/14.09 tff(23988,plain,
% 20.44/14.09 (v140(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23987, 22408, 23984])).
% 20.44/14.09 tff(23989,plain,
% 20.44/14.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB189)) | (~v140(constB189)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB189)) | (~v140(constB189)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23990,plain,
% 20.44/14.09 (((~v140(constB189)) | (~v138(constB189))) <=> ((~v138(constB189)) | (~v140(constB189)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23991,plain,
% 20.44/14.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB189)) | (~v138(constB189)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB189)) | (~v140(constB189))))),
% 20.44/14.09 inference(monotonicity,[status(thm)],[23990])).
% 20.44/14.09 tff(23992,plain,
% 20.44/14.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB189)) | (~v138(constB189)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB189)) | (~v140(constB189)))),
% 20.44/14.09 inference(transitivity,[status(thm)],[23991, 23989])).
% 20.44/14.09 tff(23993,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB189)) | (~v138(constB189)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23994,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB189)) | (~v140(constB189))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23993, 23992])).
% 20.44/14.09 tff(23995,plain,
% 20.44/14.09 (~v138(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23994, 22419, 23988])).
% 20.44/14.09 tff(23996,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB189) | v142(constB189) | (~v135(constB189)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB189) | v142(constB189) | (~v135(constB189)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(23997,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB189) | v142(constB189) | (~v135(constB189)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(23998,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB189) | v142(constB189) | (~v135(constB189))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[23997, 23996])).
% 20.44/14.09 tff(23999,plain,
% 20.44/14.09 (v142(constB189) | (~v135(constB189))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23998, 22436, 23995])).
% 20.44/14.09 tff(24000,plain,
% 20.44/14.09 (~v135(constB189)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[23999, 23951])).
% 20.44/14.09 tff(24001,plain,
% 20.44/14.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB189, constB190)) | v135(constB189) | (~v137(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB189, constB190)) | v135(constB189) | (~v137(constB190)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24002,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB189, constB190)) | v135(constB189) | (~v137(constB190)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24003,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB189, constB190)) | v135(constB189) | (~v137(constB190))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24002, 24001])).
% 20.44/14.09 tff(24004,plain,
% 20.44/14.09 (v135(constB189) | (~v137(constB190))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24003, 22451, 23974])).
% 20.44/14.09 tff(24005,plain,
% 20.44/14.09 (~v137(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24004, 24000])).
% 20.44/14.09 tff(24006,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB190) | (~v138(constB190)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB190) | (~v138(constB190)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24007,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB190) | (~v138(constB190)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24008,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB190) | (~v138(constB190))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24007, 24006])).
% 20.44/14.09 tff(24009,plain,
% 20.44/14.09 (~v138(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24008, 22463, 24005])).
% 20.44/14.09 tff(24010,plain,
% 20.44/14.09 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB190)) | (~v141(constB190)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB190)) | (~v141(constB190)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24011,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB190)) | (~v141(constB190)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24012,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB190)) | (~v141(constB190))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24011, 24010])).
% 20.44/14.09 tff(24013,plain,
% 20.44/14.09 (~v141(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24012, 22474, 23958])).
% 20.44/14.09 tff(24014,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB190) | (~v144(constB190)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB190) | (~v144(constB190)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24015,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB190) | (~v144(constB190)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24016,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB190) | (~v144(constB190))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24015, 24014])).
% 20.44/14.09 tff(24017,plain,
% 20.44/14.09 (~v144(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24016, 22485, 24013])).
% 20.44/14.09 tff(24018,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB190) | (~v142(constB190)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB190) | (~v142(constB190)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24019,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB190) | (~v142(constB190)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24020,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB190) | (~v142(constB190))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24019, 24018])).
% 20.44/14.09 tff(24021,plain,
% 20.44/14.09 (~v142(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24020, 22360, 24017])).
% 20.44/14.09 tff(24022,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB190) | v142(constB190) | (~v135(constB190)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB190) | v142(constB190) | (~v135(constB190)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24023,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB190) | v142(constB190) | (~v135(constB190)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24024,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB190) | v142(constB190) | (~v135(constB190))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24023, 24022])).
% 20.44/14.09 tff(24025,plain,
% 20.44/14.09 (v138(constB190) | (~v135(constB190))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24024, 22436, 24021])).
% 20.44/14.09 tff(24026,plain,
% 20.44/14.09 (~v135(constB190)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24025, 24009])).
% 20.44/14.09 tff(24027,plain,
% 20.44/14.09 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24028,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 20.44/14.09 tff(24029,plain,
% 20.44/14.09 (nextState(constB190, constB191)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24028, 24027])).
% 20.44/14.09 tff(24030,plain,
% 20.44/14.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB190, constB191)) | v135(constB190) | (~v137(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB190, constB191)) | v135(constB190) | (~v137(constB191)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24031,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB190, constB191)) | v135(constB190) | (~v137(constB191)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24032,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB190, constB191)) | v135(constB190) | (~v137(constB191))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24031, 24030])).
% 20.44/14.09 tff(24033,plain,
% 20.44/14.09 (v135(constB190) | (~v137(constB191))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24032, 22451, 24029])).
% 20.44/14.09 tff(24034,plain,
% 20.44/14.09 (~v137(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24033, 24026])).
% 20.44/14.09 tff(24035,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB191) | (~v153(constB191)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB191) | (~v153(constB191)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24036,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB191) | (~v153(constB191)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24037,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB191) | (~v153(constB191))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24036, 24035])).
% 20.44/14.09 tff(24038,plain,
% 20.44/14.09 (~v153(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24037, 22510, 24034])).
% 20.44/14.09 tff(24039,assumption,(v18(constB192)), introduced(assumption)).
% 20.44/14.09 tff(24040,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB192))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24041,plain,
% 20.44/14.09 ($false),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24040, 2627, 24039])).
% 20.44/14.09 tff(24042,plain,(~v18(constB192)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.09 tff(24043,plain,
% 20.44/14.09 (v1(constB192) <=> v1(constB192)),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24044,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 20.44/14.09 tff(24045,plain,
% 20.44/14.09 (v1(constB192)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 20.44/14.09 tff(24046,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24047,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24048,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24047, 24046])).
% 20.44/14.09 tff(24049,plain,
% 20.44/14.09 (v22(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24048, 2640, 24045])).
% 20.44/14.09 tff(24050,plain,
% 20.44/14.09 (((~![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))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24051,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB192)) | (~v22(constB192)) | v18(constB192))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24052,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB192)) | (~v22(constB192)) | v18(constB192)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24051, 24050])).
% 20.44/14.09 tff(24053,plain,
% 20.44/14.09 ((~v19(constB192)) | v18(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24052, 2654, 24049])).
% 20.44/14.09 tff(24054,plain,
% 20.44/14.09 (~v19(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24053, 24042])).
% 20.44/14.09 tff(24055,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24056,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24057,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24056, 24055])).
% 20.44/14.09 tff(24058,plain,
% 20.44/14.09 (v13(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24057, 2669, 24054])).
% 20.44/14.09 tff(24059,plain,
% 20.44/14.09 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24060,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 20.44/14.09 tff(24061,plain,
% 20.44/14.09 (nextState(constB191, constB192)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24060, 24059])).
% 20.44/14.09 tff(24062,plain,
% 20.44/14.09 (((~![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))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24063,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24064,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB191, constB192)) | (~v13(constB192)) | v9(constB191)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24063, 24062])).
% 20.44/14.09 tff(24065,plain,
% 20.44/14.09 ((~v13(constB192)) | v9(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24064, 2686, 24061])).
% 20.44/14.09 tff(24066,plain,
% 20.44/14.09 (v9(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24065, 24058])).
% 20.44/14.09 tff(24067,plain,
% 20.44/14.09 ((~v1(constB191)) <=> (~v1(constB191))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24068,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 20.44/14.09 tff(24069,plain,
% 20.44/14.09 (~v1(constB191)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24068, 24067])).
% 20.44/14.09 tff(24070,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v141(constB191))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB191) | (~v9(constB191)) | v141(constB191))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24071,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v141(constB191))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24072,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB191) | (~v9(constB191)) | v141(constB191)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 20.44/14.09 tff(24073,plain,
% 20.44/14.09 ((~v9(constB191)) | v141(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24072, 22396, 24069])).
% 20.44/14.09 tff(24074,plain,
% 20.44/14.09 (v141(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24073, 24066])).
% 20.44/14.09 tff(24075,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB191) | (~v141(constB191)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB191) | (~v141(constB191)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24076,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB191) | (~v141(constB191)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24077,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB191) | (~v141(constB191))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24076, 24075])).
% 20.44/14.09 tff(24078,plain,
% 20.44/14.09 (v140(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24077, 22408, 24074])).
% 20.44/14.09 tff(24079,plain,
% 20.44/14.09 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB191)) | (~v155(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB191)) | (~v155(constB191)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24080,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB191)) | (~v155(constB191)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24081,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB191)) | (~v155(constB191))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24080, 24079])).
% 20.44/14.09 tff(24082,plain,
% 20.44/14.09 (~v155(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24081, 22552, 24078])).
% 20.44/14.09 tff(24083,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB191) | v155(constB191) | (~v150(constB191)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB191) | v155(constB191) | (~v150(constB191)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24084,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB191) | v155(constB191) | (~v150(constB191)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24085,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB191) | v155(constB191) | (~v150(constB191))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24084, 24083])).
% 20.44/14.09 tff(24086,plain,
% 20.44/14.09 (v153(constB191) | (~v150(constB191))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24085, 22566, 24082])).
% 20.44/14.09 tff(24087,plain,
% 20.44/14.09 (~v150(constB191)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24086, 24038])).
% 20.44/14.09 tff(24088,plain,
% 20.44/14.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB191, constB192)) | v150(constB191) | (~v152(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB191, constB192)) | v150(constB191) | (~v152(constB192)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24089,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB191, constB192)) | v150(constB191) | (~v152(constB192)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24090,plain,
% 20.44/14.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB191, constB192)) | v150(constB191) | (~v152(constB192))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24089, 24088])).
% 20.44/14.09 tff(24091,plain,
% 20.44/14.09 (v150(constB191) | (~v152(constB192))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24090, 22581, 24061])).
% 20.44/14.09 tff(24092,plain,
% 20.44/14.09 (~v152(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24091, 24087])).
% 20.44/14.09 tff(24093,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB192) | (~v155(constB192)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB192) | (~v155(constB192)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24094,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB192) | (~v155(constB192)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24095,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB192) | (~v155(constB192))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24094, 24093])).
% 20.44/14.09 tff(24096,plain,
% 20.44/14.09 (~v155(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24095, 22593, 24092])).
% 20.44/14.09 tff(24097,plain,
% 20.44/14.09 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB192)) | (~v141(constB192)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB192)) | (~v141(constB192)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24098,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB192)) | (~v141(constB192)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24099,plain,
% 20.44/14.09 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB192)) | (~v141(constB192))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24098, 24097])).
% 20.44/14.09 tff(24100,plain,
% 20.44/14.09 (~v141(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24099, 22474, 24045])).
% 20.44/14.09 tff(24101,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB192) | (~v154(constB192)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB192) | (~v154(constB192)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24102,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB192) | (~v154(constB192)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24103,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB192) | (~v154(constB192))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24102, 24101])).
% 20.44/14.09 tff(24104,plain,
% 20.44/14.09 (~v154(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24103, 22608, 24100])).
% 20.44/14.09 tff(24105,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB192) | (~v153(constB192)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB192) | (~v153(constB192)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24106,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB192) | (~v153(constB192)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24107,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB192) | (~v153(constB192))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24106, 24105])).
% 20.44/14.09 tff(24108,plain,
% 20.44/14.09 (~v153(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24107, 22619, 24104])).
% 20.44/14.09 tff(24109,plain,
% 20.44/14.09 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB192) | v155(constB192) | (~v150(constB192)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB192) | v155(constB192) | (~v150(constB192)))),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24110,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB192) | v155(constB192) | (~v150(constB192)))),
% 20.44/14.09 inference(quant_inst,[status(thm)],[])).
% 20.44/14.09 tff(24111,plain,
% 20.44/14.09 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB192) | v155(constB192) | (~v150(constB192))),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24110, 24109])).
% 20.44/14.09 tff(24112,plain,
% 20.44/14.09 (v155(constB192) | (~v150(constB192))),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24111, 22566, 24108])).
% 20.44/14.09 tff(24113,plain,
% 20.44/14.09 (~v150(constB192)),
% 20.44/14.09 inference(unit_resolution,[status(thm)],[24112, 24096])).
% 20.44/14.09 tff(24114,plain,
% 20.44/14.09 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 20.44/14.09 inference(rewrite,[status(thm)],[])).
% 20.44/14.09 tff(24115,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 20.44/14.09 tff(24116,plain,
% 20.44/14.09 (nextState(constB192, constB193)),
% 20.44/14.09 inference(modus_ponens,[status(thm)],[24115, 24114])).
% 20.44/14.09 tff(24117,plain,
% 20.44/14.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB192, constB193)) | v150(constB192) | (~v152(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB192, constB193)) | v150(constB192) | (~v152(constB193)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24118,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB192, constB193)) | v150(constB192) | (~v152(constB193)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24119,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB192, constB193)) | v150(constB192) | (~v152(constB193))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24118, 24117])).
% 20.44/14.10 tff(24120,plain,
% 20.44/14.10 (v150(constB192) | (~v152(constB193))),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24119, 22581, 24116])).
% 20.44/14.10 tff(24121,plain,
% 20.44/14.10 (~v152(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24120, 24113])).
% 20.44/14.10 tff(24122,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB193) | (~v164(constB193)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB193) | (~v164(constB193)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24123,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB193) | (~v164(constB193)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24124,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB193) | (~v164(constB193))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24123, 24122])).
% 20.44/14.10 tff(24125,plain,
% 20.44/14.10 (~v164(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24124, 22640, 24121])).
% 20.44/14.10 tff(24126,assumption,(v18(constB194)), introduced(assumption)).
% 20.44/14.10 tff(24127,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB194))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24128,plain,
% 20.44/14.10 ($false),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24127, 2627, 24126])).
% 20.44/14.10 tff(24129,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.10 tff(24130,plain,
% 20.44/14.10 (v1(constB194) <=> v1(constB194)),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24131,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 20.44/14.10 tff(24132,plain,
% 20.44/14.10 (v1(constB194)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24131, 24130])).
% 20.44/14.10 tff(24133,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24134,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24135,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24134, 24133])).
% 20.44/14.10 tff(24136,plain,
% 20.44/14.10 (v22(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24135, 2640, 24132])).
% 20.44/14.10 tff(24137,plain,
% 20.44/14.10 (((~![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))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24138,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB194)) | (~v22(constB194)) | v18(constB194))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24139,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB194)) | (~v22(constB194)) | v18(constB194)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24138, 24137])).
% 20.44/14.10 tff(24140,plain,
% 20.44/14.10 ((~v19(constB194)) | v18(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24139, 2654, 24136])).
% 20.44/14.10 tff(24141,plain,
% 20.44/14.10 (~v19(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24140, 24129])).
% 20.44/14.10 tff(24142,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24143,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24144,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24143, 24142])).
% 20.44/14.10 tff(24145,plain,
% 20.44/14.10 (v13(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24144, 2669, 24141])).
% 20.44/14.10 tff(24146,plain,
% 20.44/14.10 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24147,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 20.44/14.10 tff(24148,plain,
% 20.44/14.10 (nextState(constB193, constB194)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24147, 24146])).
% 20.44/14.10 tff(24149,plain,
% 20.44/14.10 (((~![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))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24150,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24151,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB193, constB194)) | (~v13(constB194)) | v9(constB193)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 20.44/14.10 tff(24152,plain,
% 20.44/14.10 ((~v13(constB194)) | v9(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24151, 2686, 24148])).
% 20.44/14.10 tff(24153,plain,
% 20.44/14.10 (v9(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24152, 24145])).
% 20.44/14.10 tff(24154,plain,
% 20.44/14.10 ((~v1(constB193)) <=> (~v1(constB193))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24155,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 20.44/14.10 tff(24156,plain,
% 20.44/14.10 (~v1(constB193)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24155, 24154])).
% 20.44/14.10 tff(24157,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v141(constB193))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB193) | (~v9(constB193)) | v141(constB193))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24158,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v141(constB193))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24159,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB193) | (~v9(constB193)) | v141(constB193)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24158, 24157])).
% 20.44/14.10 tff(24160,plain,
% 20.44/14.10 ((~v9(constB193)) | v141(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24159, 22396, 24156])).
% 20.44/14.10 tff(24161,plain,
% 20.44/14.10 (v141(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24160, 24153])).
% 20.44/14.10 tff(24162,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB193) | (~v141(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB193) | (~v141(constB193)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24163,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB193) | (~v141(constB193)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24164,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB193) | (~v141(constB193))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24163, 24162])).
% 20.44/14.10 tff(24165,plain,
% 20.44/14.10 (v140(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24164, 22408, 24161])).
% 20.44/14.10 tff(24166,plain,
% 20.44/14.10 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB193)) | (~v163(constB193)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB193)) | (~v163(constB193)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24167,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB193)) | (~v163(constB193)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24168,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB193)) | (~v163(constB193))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 20.44/14.10 tff(24169,plain,
% 20.44/14.10 (~v163(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24168, 22781, 24165])).
% 20.44/14.10 tff(24170,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB193)) | v164(constB193) | v163(constB193))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB193)) | v164(constB193) | v163(constB193))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24171,plain,
% 20.44/14.10 ((v164(constB193) | v163(constB193) | (~v160(constB193))) <=> ((~v160(constB193)) | v164(constB193) | v163(constB193))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24172,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB193) | v163(constB193) | (~v160(constB193)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB193)) | v164(constB193) | v163(constB193)))),
% 20.44/14.10 inference(monotonicity,[status(thm)],[24171])).
% 20.44/14.10 tff(24173,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB193) | v163(constB193) | (~v160(constB193)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB193)) | v164(constB193) | v163(constB193))),
% 20.44/14.10 inference(transitivity,[status(thm)],[24172, 24170])).
% 20.44/14.10 tff(24174,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB193) | v163(constB193) | (~v160(constB193)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24175,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB193)) | v164(constB193) | v163(constB193)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24174, 24173])).
% 20.44/14.10 tff(24176,plain,
% 20.44/14.10 ((~v160(constB193)) | v164(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24175, 22795, 24169])).
% 20.44/14.10 tff(24177,plain,
% 20.44/14.10 (~v160(constB193)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24176, 24125])).
% 20.44/14.10 tff(24178,plain,
% 20.44/14.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB193, constB194)) | v160(constB193) | (~v162(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB193, constB194)) | v160(constB193) | (~v162(constB194)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24179,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB193, constB194)) | v160(constB193) | (~v162(constB194)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24180,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB193, constB194)) | v160(constB193) | (~v162(constB194))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24179, 24178])).
% 20.44/14.10 tff(24181,plain,
% 20.44/14.10 (v160(constB193) | (~v162(constB194))),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24180, 22813, 24148])).
% 20.44/14.10 tff(24182,plain,
% 20.44/14.10 (~v162(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24181, 24177])).
% 20.44/14.10 tff(24183,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB194) | (~v163(constB194)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB194) | (~v163(constB194)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24184,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB194) | (~v163(constB194)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24185,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB194) | (~v163(constB194))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24184, 24183])).
% 20.44/14.10 tff(24186,plain,
% 20.44/14.10 (~v163(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24185, 22825, 24182])).
% 20.44/14.10 tff(24187,plain,
% 20.44/14.10 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB194)) | (~v141(constB194)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB194)) | (~v141(constB194)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24188,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB194)) | (~v141(constB194)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24189,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB194)) | (~v141(constB194))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24188, 24187])).
% 20.44/14.10 tff(24190,plain,
% 20.44/14.10 (~v141(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24189, 22474, 24132])).
% 20.44/14.10 tff(24191,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB194) | (~v154(constB194)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB194) | (~v154(constB194)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24192,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB194) | (~v154(constB194)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24193,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB194) | (~v154(constB194))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24192, 24191])).
% 20.44/14.10 tff(24194,plain,
% 20.44/14.10 (~v154(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24193, 22608, 24190])).
% 20.44/14.10 tff(24195,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB194) | (~v164(constB194)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB194) | (~v164(constB194)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24196,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB194) | (~v164(constB194)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24197,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB194) | (~v164(constB194))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24196, 24195])).
% 20.44/14.10 tff(24198,plain,
% 20.44/14.10 (~v164(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24197, 22836, 24194])).
% 20.44/14.10 tff(24199,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB194)) | v164(constB194) | v163(constB194))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB194)) | v164(constB194) | v163(constB194))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24200,plain,
% 20.44/14.10 ((v164(constB194) | v163(constB194) | (~v160(constB194))) <=> ((~v160(constB194)) | v164(constB194) | v163(constB194))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24201,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB194) | v163(constB194) | (~v160(constB194)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB194)) | v164(constB194) | v163(constB194)))),
% 20.44/14.10 inference(monotonicity,[status(thm)],[24200])).
% 20.44/14.10 tff(24202,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB194) | v163(constB194) | (~v160(constB194)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB194)) | v164(constB194) | v163(constB194))),
% 20.44/14.10 inference(transitivity,[status(thm)],[24201, 24199])).
% 20.44/14.10 tff(24203,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB194) | v163(constB194) | (~v160(constB194)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24204,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB194)) | v164(constB194) | v163(constB194)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24203, 24202])).
% 20.44/14.10 tff(24205,plain,
% 20.44/14.10 ((~v160(constB194)) | v163(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24204, 22795, 24198])).
% 20.44/14.10 tff(24206,plain,
% 20.44/14.10 (~v160(constB194)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24205, 24186])).
% 20.44/14.10 tff(24207,plain,
% 20.44/14.10 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24208,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 20.44/14.10 tff(24209,plain,
% 20.44/14.10 (nextState(constB194, constB195)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24208, 24207])).
% 20.44/14.10 tff(24210,plain,
% 20.44/14.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB194, constB195)) | v160(constB194) | (~v162(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB194, constB195)) | v160(constB194) | (~v162(constB195)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24211,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB194, constB195)) | v160(constB194) | (~v162(constB195)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24212,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB194, constB195)) | v160(constB194) | (~v162(constB195))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24211, 24210])).
% 20.44/14.10 tff(24213,plain,
% 20.44/14.10 (v160(constB194) | (~v162(constB195))),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24212, 22813, 24209])).
% 20.44/14.10 tff(24214,plain,
% 20.44/14.10 (~v162(constB195)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24213, 24206])).
% 20.44/14.10 tff(24215,plain,
% 20.44/14.10 ($false),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24214, 23939])).
% 20.44/14.10 tff(24216,plain,(~(constB195 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.10 tff(24217,assumption,(constB147 = sK0_VarCurr), introduced(assumption)).
% 20.44/14.10 tff(24218,plain,
% 20.44/14.10 (v162(constB147) <=> v162(sK0_VarCurr)),
% 20.44/14.10 inference(monotonicity,[status(thm)],[24217])).
% 20.44/14.10 tff(24219,plain,
% 20.44/14.10 (v162(sK0_VarCurr) <=> v162(constB147)),
% 20.44/14.10 inference(symmetry,[status(thm)],[24218])).
% 20.44/14.10 tff(24220,plain,
% 20.44/14.10 (v162(constB147)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[22337, 24219])).
% 20.44/14.10 tff(24221,plain,
% 20.44/14.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB141, bitIndex2)) | (~v145(constB141)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24222,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v145(constB141)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24223,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB141, bitIndex2)) | (~v145(constB141))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24222, 24221])).
% 20.44/14.10 tff(24224,plain,
% 20.44/14.10 (~v145(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24223, 10327, 17458])).
% 20.44/14.10 tff(24225,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB141) | (~v144(constB141)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB141) | (~v144(constB141)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24226,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB141) | (~v144(constB141)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24227,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB141) | (~v144(constB141))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24226, 24225])).
% 20.44/14.10 tff(24228,plain,
% 20.44/14.10 (~v144(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24227, 22349, 24224])).
% 20.44/14.10 tff(24229,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB141) | (~v142(constB141)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB141) | (~v142(constB141)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24230,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB141) | (~v142(constB141)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24231,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB141) | (~v142(constB141))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24230, 24229])).
% 20.44/14.10 tff(24232,plain,
% 20.44/14.10 (~v142(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24231, 22360, 24228])).
% 20.44/14.10 tff(24233,assumption,(v18(constB142)), introduced(assumption)).
% 20.44/14.10 tff(24234,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB142))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24235,plain,
% 20.44/14.10 ($false),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24234, 2627, 24233])).
% 20.44/14.10 tff(24236,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.10 tff(24237,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24238,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24239,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24238, 24237])).
% 20.44/14.10 tff(24240,plain,
% 20.44/14.10 (v22(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24239, 2640, 17413])).
% 20.44/14.10 tff(24241,plain,
% 20.44/14.10 (((~![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))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24242,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB142)) | (~v22(constB142)) | v18(constB142))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24243,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB142)) | (~v22(constB142)) | v18(constB142)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24242, 24241])).
% 20.44/14.10 tff(24244,plain,
% 20.44/14.10 ((~v19(constB142)) | v18(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24243, 2654, 24240])).
% 20.44/14.10 tff(24245,plain,
% 20.44/14.10 (~v19(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24244, 24236])).
% 20.44/14.10 tff(24246,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24247,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24248,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24247, 24246])).
% 20.44/14.10 tff(24249,plain,
% 20.44/14.10 (v13(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24248, 2669, 24245])).
% 20.44/14.10 tff(24250,plain,
% 20.44/14.10 (((~![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))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24251,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24252,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB141, constB142)) | (~v13(constB142)) | v9(constB141)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24251, 24250])).
% 20.44/14.10 tff(24253,plain,
% 20.44/14.10 ((~v13(constB142)) | v9(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24252, 2686, 17393])).
% 20.44/14.10 tff(24254,plain,
% 20.44/14.10 (v9(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24253, 24249])).
% 20.44/14.10 tff(24255,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v141(constB141))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB141) | (~v9(constB141)) | v141(constB141))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24256,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v141(constB141))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24257,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB141) | (~v9(constB141)) | v141(constB141)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24256, 24255])).
% 20.44/14.10 tff(24258,plain,
% 20.44/14.10 ((~v9(constB141)) | v141(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24257, 22396, 17272])).
% 20.44/14.10 tff(24259,plain,
% 20.44/14.10 (v141(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24258, 24254])).
% 20.44/14.10 tff(24260,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB141) | (~v141(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB141) | (~v141(constB141)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24261,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB141) | (~v141(constB141)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24262,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB141) | (~v141(constB141))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 20.44/14.10 tff(24263,plain,
% 20.44/14.10 (v140(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24262, 22408, 24259])).
% 20.44/14.10 tff(24264,plain,
% 20.44/14.10 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB141)) | (~v140(constB141)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB141)) | (~v140(constB141)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24265,plain,
% 20.44/14.10 (((~v140(constB141)) | (~v138(constB141))) <=> ((~v138(constB141)) | (~v140(constB141)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24266,plain,
% 20.44/14.10 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB141)) | (~v138(constB141)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB141)) | (~v140(constB141))))),
% 20.44/14.10 inference(monotonicity,[status(thm)],[24265])).
% 20.44/14.10 tff(24267,plain,
% 20.44/14.10 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB141)) | (~v138(constB141)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB141)) | (~v140(constB141)))),
% 20.44/14.10 inference(transitivity,[status(thm)],[24266, 24264])).
% 20.44/14.10 tff(24268,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB141)) | (~v138(constB141)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24269,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB141)) | (~v140(constB141))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24268, 24267])).
% 20.44/14.10 tff(24270,plain,
% 20.44/14.10 (~v138(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24269, 22419, 24263])).
% 20.44/14.10 tff(24271,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB141) | v142(constB141) | (~v135(constB141)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB141) | v142(constB141) | (~v135(constB141)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24272,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB141) | v142(constB141) | (~v135(constB141)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24273,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB141) | v142(constB141) | (~v135(constB141))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24272, 24271])).
% 20.44/14.10 tff(24274,plain,
% 20.44/14.10 (v142(constB141) | (~v135(constB141))),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24273, 22436, 24270])).
% 20.44/14.10 tff(24275,plain,
% 20.44/14.10 (~v135(constB141)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24274, 24232])).
% 20.44/14.10 tff(24276,plain,
% 20.44/14.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24277,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24278,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB141, constB142)) | v135(constB141) | (~v137(constB142))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24277, 24276])).
% 20.44/14.10 tff(24279,plain,
% 20.44/14.10 (v135(constB141) | (~v137(constB142))),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24278, 22451, 17393])).
% 20.44/14.10 tff(24280,plain,
% 20.44/14.10 (~v137(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24279, 24275])).
% 20.44/14.10 tff(24281,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB142) | (~v138(constB142)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB142) | (~v138(constB142)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24282,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB142) | (~v138(constB142)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24283,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB142) | (~v138(constB142))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24282, 24281])).
% 20.44/14.10 tff(24284,plain,
% 20.44/14.10 (~v138(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24283, 22463, 24280])).
% 20.44/14.10 tff(24285,plain,
% 20.44/14.10 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB142)) | (~v141(constB142)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB142)) | (~v141(constB142)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24286,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB142)) | (~v141(constB142)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24287,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB142)) | (~v141(constB142))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24286, 24285])).
% 20.44/14.10 tff(24288,plain,
% 20.44/14.10 (~v141(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24287, 22474, 17413])).
% 20.44/14.10 tff(24289,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB142) | (~v144(constB142)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB142) | (~v144(constB142)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24290,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB142) | (~v144(constB142)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24291,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB142) | (~v144(constB142))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 20.44/14.10 tff(24292,plain,
% 20.44/14.10 (~v144(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24291, 22485, 24288])).
% 20.44/14.10 tff(24293,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB142) | (~v142(constB142)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB142) | (~v142(constB142)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24294,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB142) | (~v142(constB142)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24295,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB142) | (~v142(constB142))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 20.44/14.10 tff(24296,plain,
% 20.44/14.10 (~v142(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24295, 22360, 24292])).
% 20.44/14.10 tff(24297,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB142) | v142(constB142) | (~v135(constB142)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB142) | v142(constB142) | (~v135(constB142)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24298,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB142) | v142(constB142) | (~v135(constB142)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24299,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB142) | v142(constB142) | (~v135(constB142))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24298, 24297])).
% 20.44/14.10 tff(24300,plain,
% 20.44/14.10 (v138(constB142) | (~v135(constB142))),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24299, 22436, 24296])).
% 20.44/14.10 tff(24301,plain,
% 20.44/14.10 (~v135(constB142)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24300, 24284])).
% 20.44/14.10 tff(24302,plain,
% 20.44/14.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24303,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24304,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB142, constB143)) | v135(constB142) | (~v137(constB143))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24303, 24302])).
% 20.44/14.10 tff(24305,plain,
% 20.44/14.10 (v135(constB142) | (~v137(constB143))),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24304, 22451, 17491])).
% 20.44/14.10 tff(24306,plain,
% 20.44/14.10 (~v137(constB143)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24305, 24301])).
% 20.44/14.10 tff(24307,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB143) | (~v153(constB143)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB143) | (~v153(constB143)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24308,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB143) | (~v153(constB143)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24309,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB143) | (~v153(constB143))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24308, 24307])).
% 20.44/14.10 tff(24310,plain,
% 20.44/14.10 (~v153(constB143)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24309, 22510, 24306])).
% 20.44/14.10 tff(24311,assumption,(v18(constB144)), introduced(assumption)).
% 20.44/14.10 tff(24312,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB144))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24313,plain,
% 20.44/14.10 ($false),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24312, 2627, 24311])).
% 20.44/14.10 tff(24314,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 20.44/14.10 tff(24315,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24316,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24317,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24316, 24315])).
% 20.44/14.10 tff(24318,plain,
% 20.44/14.10 (v22(constB144)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24317, 2640, 17676])).
% 20.44/14.10 tff(24319,plain,
% 20.44/14.10 (((~![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))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24320,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB144)) | (~v22(constB144)) | v18(constB144))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24321,plain,
% 20.44/14.10 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB144)) | (~v22(constB144)) | v18(constB144)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 20.44/14.10 tff(24322,plain,
% 20.44/14.10 ((~v19(constB144)) | v18(constB144)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24321, 2654, 24318])).
% 20.44/14.10 tff(24323,plain,
% 20.44/14.10 (~v19(constB144)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24322, 24314])).
% 20.44/14.10 tff(24324,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24325,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24326,plain,
% 20.44/14.10 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24325, 24324])).
% 20.44/14.10 tff(24327,plain,
% 20.44/14.10 (v13(constB144)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24326, 2669, 24323])).
% 20.44/14.10 tff(24328,plain,
% 20.44/14.10 (((~![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))),
% 20.44/14.10 inference(rewrite,[status(thm)],[])).
% 20.44/14.10 tff(24329,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143))),
% 20.44/14.10 inference(quant_inst,[status(thm)],[])).
% 20.44/14.10 tff(24330,plain,
% 20.44/14.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB143, constB144)) | (~v13(constB144)) | v9(constB143)),
% 20.44/14.10 inference(modus_ponens,[status(thm)],[24329, 24328])).
% 20.44/14.10 tff(24331,plain,
% 20.44/14.10 ((~v13(constB144)) | v9(constB143)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24330, 2686, 17656])).
% 20.44/14.10 tff(24332,plain,
% 20.44/14.10 (v9(constB143)),
% 20.44/14.10 inference(unit_resolution,[status(thm)],[24331, 24327])).
% 20.44/14.10 tff(24333,plain,
% 20.44/14.10 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v141(constB143))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB143) | (~v9(constB143)) | v141(constB143))),
% 20.53/14.10 inference(rewrite,[status(thm)],[])).
% 20.53/14.10 tff(24334,plain,
% 20.53/14.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v141(constB143))),
% 20.53/14.10 inference(quant_inst,[status(thm)],[])).
% 20.53/14.10 tff(24335,plain,
% 20.53/14.10 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB143) | (~v9(constB143)) | v141(constB143)),
% 20.53/14.10 inference(modus_ponens,[status(thm)],[24334, 24333])).
% 20.53/14.10 tff(24336,plain,
% 20.53/14.10 ((~v9(constB143)) | v141(constB143)),
% 20.53/14.10 inference(unit_resolution,[status(thm)],[24335, 22396, 17488])).
% 20.53/14.10 tff(24337,plain,
% 20.53/14.10 (v141(constB143)),
% 20.53/14.10 inference(unit_resolution,[status(thm)],[24336, 24332])).
% 20.53/14.10 tff(24338,plain,
% 20.53/14.10 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB143) | (~v141(constB143)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB143) | (~v141(constB143)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24339,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB143) | (~v141(constB143)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24340,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB143) | (~v141(constB143))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24339, 24338])).
% 20.53/14.11 tff(24341,plain,
% 20.53/14.11 (v140(constB143)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24340, 22408, 24337])).
% 20.53/14.11 tff(24342,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB143)) | (~v155(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB143)) | (~v155(constB143)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24343,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB143)) | (~v155(constB143)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24344,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB143)) | (~v155(constB143))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24343, 24342])).
% 20.53/14.11 tff(24345,plain,
% 20.53/14.11 (~v155(constB143)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24344, 22552, 24341])).
% 20.53/14.11 tff(24346,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB143) | v155(constB143) | (~v150(constB143)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB143) | v155(constB143) | (~v150(constB143)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24347,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB143) | v155(constB143) | (~v150(constB143)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24348,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB143) | v155(constB143) | (~v150(constB143))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24347, 24346])).
% 20.53/14.11 tff(24349,plain,
% 20.53/14.11 (v153(constB143) | (~v150(constB143))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24348, 22566, 24345])).
% 20.53/14.11 tff(24350,plain,
% 20.53/14.11 (~v150(constB143)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24349, 24310])).
% 20.53/14.11 tff(24351,plain,
% 20.53/14.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24352,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24353,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB143, constB144)) | v150(constB143) | (~v152(constB144))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 20.53/14.11 tff(24354,plain,
% 20.53/14.11 (v150(constB143) | (~v152(constB144))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24353, 22581, 17656])).
% 20.53/14.11 tff(24355,plain,
% 20.53/14.11 (~v152(constB144)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24354, 24350])).
% 20.53/14.11 tff(24356,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB144) | (~v155(constB144)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB144) | (~v155(constB144)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24357,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB144) | (~v155(constB144)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24358,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB144) | (~v155(constB144))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24357, 24356])).
% 20.53/14.11 tff(24359,plain,
% 20.53/14.11 (~v155(constB144)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24358, 22593, 24355])).
% 20.53/14.11 tff(24360,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB144)) | (~v141(constB144)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB144)) | (~v141(constB144)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24361,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB144)) | (~v141(constB144)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24362,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB144)) | (~v141(constB144))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24361, 24360])).
% 20.53/14.11 tff(24363,plain,
% 20.53/14.11 (~v141(constB144)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24362, 22474, 17676])).
% 20.53/14.11 tff(24364,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB144) | (~v154(constB144)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB144) | (~v154(constB144)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24365,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB144) | (~v154(constB144)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24366,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB144) | (~v154(constB144))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24365, 24364])).
% 20.53/14.11 tff(24367,plain,
% 20.53/14.11 (~v154(constB144)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24366, 22608, 24363])).
% 20.53/14.11 tff(24368,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB144) | (~v153(constB144)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB144) | (~v153(constB144)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24369,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB144) | (~v153(constB144)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24370,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB144) | (~v153(constB144))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24369, 24368])).
% 20.53/14.11 tff(24371,plain,
% 20.53/14.11 (~v153(constB144)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24370, 22619, 24367])).
% 20.53/14.11 tff(24372,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB144) | v155(constB144) | (~v150(constB144)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB144) | v155(constB144) | (~v150(constB144)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24373,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB144) | v155(constB144) | (~v150(constB144)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24374,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB144) | v155(constB144) | (~v150(constB144))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24373, 24372])).
% 20.53/14.11 tff(24375,plain,
% 20.53/14.11 (v155(constB144) | (~v150(constB144))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24374, 22566, 24371])).
% 20.53/14.11 tff(24376,plain,
% 20.53/14.11 (~v150(constB144)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24375, 24359])).
% 20.53/14.11 tff(24377,plain,
% 20.53/14.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24378,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24379,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB144, constB145)) | v150(constB144) | (~v152(constB145))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24378, 24377])).
% 20.53/14.11 tff(24380,plain,
% 20.53/14.11 (v150(constB144) | (~v152(constB145))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24379, 22581, 17718])).
% 20.53/14.11 tff(24381,plain,
% 20.53/14.11 (~v152(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24380, 24376])).
% 20.53/14.11 tff(24382,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB145) | (~v164(constB145)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB145) | (~v164(constB145)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24383,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB145) | (~v164(constB145)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24384,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB145) | (~v164(constB145))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24383, 24382])).
% 20.53/14.11 tff(24385,plain,
% 20.53/14.11 (~v164(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24384, 22640, 24381])).
% 20.53/14.11 tff(24386,assumption,(v18(constB146)), introduced(assumption)).
% 20.53/14.11 tff(24387,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB146))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24388,plain,
% 20.53/14.11 ($false),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24387, 2627, 24386])).
% 20.53/14.11 tff(24389,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.11 tff(24390,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24391,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24392,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24391, 24390])).
% 20.53/14.11 tff(24393,plain,
% 20.53/14.11 (v22(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24392, 2640, 17848])).
% 20.53/14.11 tff(24394,plain,
% 20.53/14.11 (((~![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))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24395,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB146)) | (~v22(constB146)) | v18(constB146))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24396,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB146)) | (~v22(constB146)) | v18(constB146)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24395, 24394])).
% 20.53/14.11 tff(24397,plain,
% 20.53/14.11 ((~v19(constB146)) | v18(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24396, 2654, 24393])).
% 20.53/14.11 tff(24398,plain,
% 20.53/14.11 (~v19(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24397, 24389])).
% 20.53/14.11 tff(24399,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24400,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24401,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24400, 24399])).
% 20.53/14.11 tff(24402,plain,
% 20.53/14.11 (v13(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24401, 2669, 24398])).
% 20.53/14.11 tff(24403,plain,
% 20.53/14.11 (((~![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))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24404,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24405,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB145, constB146)) | (~v13(constB146)) | v9(constB145)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24404, 24403])).
% 20.53/14.11 tff(24406,plain,
% 20.53/14.11 ((~v13(constB146)) | v9(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24405, 2686, 17828])).
% 20.53/14.11 tff(24407,plain,
% 20.53/14.11 (v9(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24406, 24402])).
% 20.53/14.11 tff(24408,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v141(constB145))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB145) | (~v9(constB145)) | v141(constB145))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24409,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v141(constB145))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24410,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB145) | (~v9(constB145)) | v141(constB145)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24409, 24408])).
% 20.53/14.11 tff(24411,plain,
% 20.53/14.11 ((~v9(constB145)) | v141(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24410, 22396, 17715])).
% 20.53/14.11 tff(24412,plain,
% 20.53/14.11 (v141(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24411, 24407])).
% 20.53/14.11 tff(24413,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB145) | (~v141(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB145) | (~v141(constB145)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24414,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB145) | (~v141(constB145)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24415,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB145) | (~v141(constB145))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24414, 24413])).
% 20.53/14.11 tff(24416,plain,
% 20.53/14.11 (v140(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24415, 22408, 24412])).
% 20.53/14.11 tff(24417,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB145)) | (~v163(constB145)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB145)) | (~v163(constB145)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24418,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB145)) | (~v163(constB145)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24419,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB145)) | (~v163(constB145))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24418, 24417])).
% 20.53/14.11 tff(24420,plain,
% 20.53/14.11 (~v163(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24419, 22781, 24416])).
% 20.53/14.11 tff(24421,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB145)) | v163(constB145) | v164(constB145))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB145)) | v163(constB145) | v164(constB145))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24422,plain,
% 20.53/14.11 ((v164(constB145) | v163(constB145) | (~v160(constB145))) <=> ((~v160(constB145)) | v163(constB145) | v164(constB145))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24423,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB145) | v163(constB145) | (~v160(constB145)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB145)) | v163(constB145) | v164(constB145)))),
% 20.53/14.11 inference(monotonicity,[status(thm)],[24422])).
% 20.53/14.11 tff(24424,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB145) | v163(constB145) | (~v160(constB145)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB145)) | v163(constB145) | v164(constB145))),
% 20.53/14.11 inference(transitivity,[status(thm)],[24423, 24421])).
% 20.53/14.11 tff(24425,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB145) | v163(constB145) | (~v160(constB145)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24426,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB145)) | v163(constB145) | v164(constB145)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24425, 24424])).
% 20.53/14.11 tff(24427,plain,
% 20.53/14.11 ((~v160(constB145)) | v164(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24426, 22795, 24420])).
% 20.53/14.11 tff(24428,plain,
% 20.53/14.11 (~v160(constB145)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24427, 24385])).
% 20.53/14.11 tff(24429,plain,
% 20.53/14.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB145, constB146)) | v160(constB145) | (~v162(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB145, constB146)) | v160(constB145) | (~v162(constB146)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24430,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB145, constB146)) | v160(constB145) | (~v162(constB146)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24431,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB145, constB146)) | v160(constB145) | (~v162(constB146))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 20.53/14.11 tff(24432,plain,
% 20.53/14.11 (v160(constB145) | (~v162(constB146))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24431, 22813, 17828])).
% 20.53/14.11 tff(24433,plain,
% 20.53/14.11 (~v162(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24432, 24428])).
% 20.53/14.11 tff(24434,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB146) | (~v163(constB146)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB146) | (~v163(constB146)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24435,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB146) | (~v163(constB146)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24436,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB146) | (~v163(constB146))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24435, 24434])).
% 20.53/14.11 tff(24437,plain,
% 20.53/14.11 (~v163(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24436, 22825, 24433])).
% 20.53/14.11 tff(24438,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB146)) | (~v141(constB146)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB146)) | (~v141(constB146)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24439,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB146)) | (~v141(constB146)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24440,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB146)) | (~v141(constB146))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24439, 24438])).
% 20.53/14.11 tff(24441,plain,
% 20.53/14.11 (~v141(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24440, 22474, 17848])).
% 20.53/14.11 tff(24442,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB146) | (~v154(constB146)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB146) | (~v154(constB146)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24443,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB146) | (~v154(constB146)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24444,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB146) | (~v154(constB146))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24443, 24442])).
% 20.53/14.11 tff(24445,plain,
% 20.53/14.11 (~v154(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24444, 22608, 24441])).
% 20.53/14.11 tff(24446,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB146) | (~v164(constB146)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB146) | (~v164(constB146)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24447,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB146) | (~v164(constB146)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24448,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB146) | (~v164(constB146))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24447, 24446])).
% 20.53/14.11 tff(24449,plain,
% 20.53/14.11 (~v164(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24448, 22836, 24445])).
% 20.53/14.11 tff(24450,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB146)) | v164(constB146) | v163(constB146))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB146)) | v164(constB146) | v163(constB146))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24451,plain,
% 20.53/14.11 ((v164(constB146) | v163(constB146) | (~v160(constB146))) <=> ((~v160(constB146)) | v164(constB146) | v163(constB146))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24452,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB146) | v163(constB146) | (~v160(constB146)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB146)) | v164(constB146) | v163(constB146)))),
% 20.53/14.11 inference(monotonicity,[status(thm)],[24451])).
% 20.53/14.11 tff(24453,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB146) | v163(constB146) | (~v160(constB146)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB146)) | v164(constB146) | v163(constB146))),
% 20.53/14.11 inference(transitivity,[status(thm)],[24452, 24450])).
% 20.53/14.11 tff(24454,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB146) | v163(constB146) | (~v160(constB146)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24455,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB146)) | v164(constB146) | v163(constB146)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24454, 24453])).
% 20.53/14.11 tff(24456,plain,
% 20.53/14.11 ((~v160(constB146)) | v163(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24455, 22795, 24449])).
% 20.53/14.11 tff(24457,plain,
% 20.53/14.11 (~v160(constB146)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24456, 24437])).
% 20.53/14.11 tff(24458,plain,
% 20.53/14.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB146, constB147)) | v160(constB146) | (~v162(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB146, constB147)) | v160(constB146) | (~v162(constB147)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24459,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB146, constB147)) | v160(constB146) | (~v162(constB147)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24460,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB146, constB147)) | v160(constB146) | (~v162(constB147))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24459, 24458])).
% 20.53/14.11 tff(24461,plain,
% 20.53/14.11 (v160(constB146) | (~v162(constB147))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24460, 22813, 17920])).
% 20.53/14.11 tff(24462,plain,
% 20.53/14.11 (~v162(constB147)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24461, 24457])).
% 20.53/14.11 tff(24463,plain,
% 20.53/14.11 ($false),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24462, 24220])).
% 20.53/14.11 tff(24464,plain,(~(constB147 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.11 tff(24465,assumption,(constB17 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.11 tff(24466,plain,
% 20.53/14.11 (v162(constB17) <=> v162(sK0_VarCurr)),
% 20.53/14.11 inference(monotonicity,[status(thm)],[24465])).
% 20.53/14.11 tff(24467,plain,
% 20.53/14.11 (v162(sK0_VarCurr) <=> v162(constB17)),
% 20.53/14.11 inference(symmetry,[status(thm)],[24466])).
% 20.53/14.11 tff(24468,plain,
% 20.53/14.11 (v162(constB17)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[22337, 24467])).
% 20.53/14.11 tff(24469,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB11, bitIndex2)) | (~v145(constB11)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB11, bitIndex2)) | (~v145(constB11)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24470,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB11, bitIndex2)) | (~v145(constB11)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24471,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB11, bitIndex2)) | (~v145(constB11))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24470, 24469])).
% 20.53/14.11 tff(24472,plain,
% 20.53/14.11 (~v145(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24471, 10327, 1577])).
% 20.53/14.11 tff(24473,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB11) | (~v144(constB11)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB11) | (~v144(constB11)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24474,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB11) | (~v144(constB11)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24475,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB11) | (~v144(constB11))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24474, 24473])).
% 20.53/14.11 tff(24476,plain,
% 20.53/14.11 (~v144(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24475, 22349, 24472])).
% 20.53/14.11 tff(24477,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB11) | (~v142(constB11)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB11) | (~v142(constB11)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24478,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB11) | (~v142(constB11)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24479,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB11) | (~v142(constB11))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24478, 24477])).
% 20.53/14.11 tff(24480,plain,
% 20.53/14.11 (~v142(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24479, 22360, 24476])).
% 20.53/14.11 tff(24481,assumption,(v18(constB12)), introduced(assumption)).
% 20.53/14.11 tff(24482,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB12))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24483,plain,
% 20.53/14.11 ($false),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24482, 2627, 24481])).
% 20.53/14.11 tff(24484,plain,(~v18(constB12)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.11 tff(24485,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24486,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24487,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24486, 24485])).
% 20.53/14.11 tff(24488,plain,
% 20.53/14.11 (v22(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24487, 2640, 1726])).
% 20.53/14.11 tff(24489,plain,
% 20.53/14.11 (((~![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))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24490,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB12)) | (~v22(constB12)) | v18(constB12))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24491,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB12)) | (~v22(constB12)) | v18(constB12)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24490, 24489])).
% 20.53/14.11 tff(24492,plain,
% 20.53/14.11 ((~v19(constB12)) | v18(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24491, 2654, 24488])).
% 20.53/14.11 tff(24493,plain,
% 20.53/14.11 (~v19(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24492, 24484])).
% 20.53/14.11 tff(24494,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24495,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24496,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24495, 24494])).
% 20.53/14.11 tff(24497,plain,
% 20.53/14.11 (v13(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24496, 2669, 24493])).
% 20.53/14.11 tff(24498,plain,
% 20.53/14.11 (((~![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))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24499,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24500,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB11, constB12)) | (~v13(constB12)) | v9(constB11)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24499, 24498])).
% 20.53/14.11 tff(24501,plain,
% 20.53/14.11 ((~v13(constB12)) | v9(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24500, 2686, 1706])).
% 20.53/14.11 tff(24502,plain,
% 20.53/14.11 (v9(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24501, 24497])).
% 20.53/14.11 tff(24503,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v141(constB11))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB11) | (~v9(constB11)) | v141(constB11))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24504,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v141(constB11))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24505,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB11) | (~v9(constB11)) | v141(constB11)),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24504, 24503])).
% 20.53/14.11 tff(24506,plain,
% 20.53/14.11 ((~v9(constB11)) | v141(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24505, 22396, 1553])).
% 20.53/14.11 tff(24507,plain,
% 20.53/14.11 (v141(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24506, 24502])).
% 20.53/14.11 tff(24508,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB11) | (~v141(constB11)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB11) | (~v141(constB11)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24509,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB11) | (~v141(constB11)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24510,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB11) | (~v141(constB11))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24509, 24508])).
% 20.53/14.11 tff(24511,plain,
% 20.53/14.11 (v140(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24510, 22408, 24507])).
% 20.53/14.11 tff(24512,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB11)) | (~v140(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB11)) | (~v140(constB11)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24513,plain,
% 20.53/14.11 (((~v140(constB11)) | (~v138(constB11))) <=> ((~v138(constB11)) | (~v140(constB11)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24514,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB11)) | (~v138(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB11)) | (~v140(constB11))))),
% 20.53/14.11 inference(monotonicity,[status(thm)],[24513])).
% 20.53/14.11 tff(24515,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB11)) | (~v138(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB11)) | (~v140(constB11)))),
% 20.53/14.11 inference(transitivity,[status(thm)],[24514, 24512])).
% 20.53/14.11 tff(24516,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB11)) | (~v138(constB11)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24517,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB11)) | (~v140(constB11))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24516, 24515])).
% 20.53/14.11 tff(24518,plain,
% 20.53/14.11 (~v138(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24517, 22419, 24511])).
% 20.53/14.11 tff(24519,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB11) | v142(constB11) | (~v135(constB11)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB11) | v142(constB11) | (~v135(constB11)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24520,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB11) | v142(constB11) | (~v135(constB11)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24521,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB11) | v142(constB11) | (~v135(constB11))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24520, 24519])).
% 20.53/14.11 tff(24522,plain,
% 20.53/14.11 (v142(constB11) | (~v135(constB11))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24521, 22436, 24518])).
% 20.53/14.11 tff(24523,plain,
% 20.53/14.11 (~v135(constB11)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24522, 24480])).
% 20.53/14.11 tff(24524,plain,
% 20.53/14.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24525,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24526,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 20.53/14.11 tff(24527,plain,
% 20.53/14.11 (v135(constB11) | (~v137(constB12))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24526, 22451, 1706])).
% 20.53/14.11 tff(24528,plain,
% 20.53/14.11 (~v137(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24527, 24523])).
% 20.53/14.11 tff(24529,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB12) | (~v138(constB12)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB12) | (~v138(constB12)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24530,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB12) | (~v138(constB12)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24531,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB12) | (~v138(constB12))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24530, 24529])).
% 20.53/14.11 tff(24532,plain,
% 20.53/14.11 (~v138(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24531, 22463, 24528])).
% 20.53/14.11 tff(24533,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB12)) | (~v141(constB12)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB12)) | (~v141(constB12)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24534,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB12)) | (~v141(constB12)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24535,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB12)) | (~v141(constB12))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24534, 24533])).
% 20.53/14.11 tff(24536,plain,
% 20.53/14.11 (~v141(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24535, 22474, 1726])).
% 20.53/14.11 tff(24537,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB12) | (~v144(constB12)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB12) | (~v144(constB12)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24538,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB12) | (~v144(constB12)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24539,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB12) | (~v144(constB12))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24538, 24537])).
% 20.53/14.11 tff(24540,plain,
% 20.53/14.11 (~v144(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24539, 22485, 24536])).
% 20.53/14.11 tff(24541,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB12) | (~v142(constB12)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB12) | (~v142(constB12)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24542,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB12) | (~v142(constB12)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24543,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB12) | (~v142(constB12))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24542, 24541])).
% 20.53/14.11 tff(24544,plain,
% 20.53/14.11 (~v142(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24543, 22360, 24540])).
% 20.53/14.11 tff(24545,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB12) | v142(constB12) | (~v135(constB12)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB12) | v142(constB12) | (~v135(constB12)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24546,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB12) | v142(constB12) | (~v135(constB12)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24547,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB12) | v142(constB12) | (~v135(constB12))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24546, 24545])).
% 20.53/14.11 tff(24548,plain,
% 20.53/14.11 (v138(constB12) | (~v135(constB12))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24547, 22436, 24544])).
% 20.53/14.11 tff(24549,plain,
% 20.53/14.11 (~v135(constB12)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24548, 24532])).
% 20.53/14.11 tff(24550,plain,
% 20.53/14.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24551,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24552,plain,
% 20.53/14.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24551, 24550])).
% 20.53/14.11 tff(24553,plain,
% 20.53/14.11 (v135(constB12) | (~v137(constB13))),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24552, 22451, 1778])).
% 20.53/14.11 tff(24554,plain,
% 20.53/14.11 (~v137(constB13)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24553, 24549])).
% 20.53/14.11 tff(24555,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB13) | (~v153(constB13)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB13) | (~v153(constB13)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24556,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB13) | (~v153(constB13)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24557,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB13) | (~v153(constB13))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24556, 24555])).
% 20.53/14.11 tff(24558,plain,
% 20.53/14.11 (~v153(constB13)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24557, 22510, 24554])).
% 20.53/14.11 tff(24559,plain,
% 20.53/14.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB9, bitIndex2)) | (~v145(constB9)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB9, bitIndex2)) | (~v145(constB9)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24560,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB9, bitIndex2)) | (~v145(constB9)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24561,plain,
% 20.53/14.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB9, bitIndex2)) | (~v145(constB9))),
% 20.53/14.11 inference(modus_ponens,[status(thm)],[24560, 24559])).
% 20.53/14.11 tff(24562,plain,
% 20.53/14.11 (~v145(constB9)),
% 20.53/14.11 inference(unit_resolution,[status(thm)],[24561, 10327, 1348])).
% 20.53/14.11 tff(24563,plain,
% 20.53/14.11 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB9) | (~v144(constB9)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB9) | (~v144(constB9)))),
% 20.53/14.11 inference(rewrite,[status(thm)],[])).
% 20.53/14.11 tff(24564,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB9) | (~v144(constB9)))),
% 20.53/14.11 inference(quant_inst,[status(thm)],[])).
% 20.53/14.11 tff(24565,plain,
% 20.53/14.11 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB9) | (~v144(constB9))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 20.53/14.12 tff(24566,plain,
% 20.53/14.12 (~v144(constB9)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24565, 22349, 24562])).
% 20.53/14.12 tff(24567,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB9) | (~v142(constB9)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24568,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB9) | (~v142(constB9)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24569,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB9) | (~v142(constB9))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24568, 24567])).
% 20.53/14.12 tff(24570,plain,
% 20.53/14.12 (~v142(constB9)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24569, 22360, 24566])).
% 20.53/14.12 tff(24571,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB7, bitIndex1)) | (~v145(constB7)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB7, bitIndex1)) | (~v145(constB7)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24572,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB7, bitIndex1)) | (~v145(constB7)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24573,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB7, bitIndex1)) | (~v145(constB7))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24572, 24571])).
% 20.53/14.12 tff(24574,plain,
% 20.53/14.12 (~v145(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24573, 2012, 1125])).
% 20.53/14.12 tff(24575,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB7) | (~v144(constB7)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB7) | (~v144(constB7)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24576,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB7) | (~v144(constB7)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24577,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB7) | (~v144(constB7))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24576, 24575])).
% 20.53/14.12 tff(24578,plain,
% 20.53/14.12 (~v144(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24577, 22349, 24574])).
% 20.53/14.12 tff(24579,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB7) | (~v142(constB7)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB7) | (~v142(constB7)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24580,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB7) | (~v142(constB7)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24581,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB7) | (~v142(constB7))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24580, 24579])).
% 20.53/14.12 tff(24582,plain,
% 20.53/14.12 (~v142(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24581, 22360, 24578])).
% 20.53/14.12 tff(24583,assumption,(v18(constB8)), introduced(assumption)).
% 20.53/14.12 tff(24584,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB8))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24585,plain,
% 20.53/14.12 ($false),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24584, 2627, 24583])).
% 20.53/14.12 tff(24586,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.12 tff(24587,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24588,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24589,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24588, 24587])).
% 20.53/14.12 tff(24590,plain,
% 20.53/14.12 (v22(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24589, 2640, 1235])).
% 20.53/14.12 tff(24591,plain,
% 20.53/14.12 (((~![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))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24592,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB8)) | (~v22(constB8)) | v18(constB8))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24593,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB8)) | (~v22(constB8)) | v18(constB8)),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24592, 24591])).
% 20.53/14.12 tff(24594,plain,
% 20.53/14.12 ((~v19(constB8)) | v18(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24593, 2654, 24590])).
% 20.53/14.12 tff(24595,plain,
% 20.53/14.12 (~v19(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24594, 24586])).
% 20.53/14.12 tff(24596,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24597,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24598,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24597, 24596])).
% 20.53/14.12 tff(24599,plain,
% 20.53/14.12 (v13(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24598, 2669, 24595])).
% 20.53/14.12 tff(24600,plain,
% 20.53/14.12 (((~![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))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24601,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24602,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB7, constB8)) | (~v13(constB8)) | v9(constB7)),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24601, 24600])).
% 20.53/14.12 tff(24603,plain,
% 20.53/14.12 ((~v13(constB8)) | v9(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24602, 2686, 1215])).
% 20.53/14.12 tff(24604,plain,
% 20.53/14.12 (v9(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24603, 24599])).
% 20.53/14.12 tff(24605,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v141(constB7))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB7) | (~v9(constB7)) | v141(constB7))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24606,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v141(constB7))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24607,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB7) | (~v9(constB7)) | v141(constB7)),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24606, 24605])).
% 20.53/14.12 tff(24608,plain,
% 20.53/14.12 ((~v9(constB7)) | v141(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24607, 22396, 1060])).
% 20.53/14.12 tff(24609,plain,
% 20.53/14.12 (v141(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24608, 24604])).
% 20.53/14.12 tff(24610,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB7) | (~v141(constB7)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB7) | (~v141(constB7)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24611,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB7) | (~v141(constB7)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24612,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB7) | (~v141(constB7))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24611, 24610])).
% 20.53/14.12 tff(24613,plain,
% 20.53/14.12 (v140(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24612, 22408, 24609])).
% 20.53/14.12 tff(24614,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB7)) | (~v140(constB7)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB7)) | (~v140(constB7)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24615,plain,
% 20.53/14.12 (((~v140(constB7)) | (~v138(constB7))) <=> ((~v138(constB7)) | (~v140(constB7)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24616,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB7)) | (~v138(constB7)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB7)) | (~v140(constB7))))),
% 20.53/14.12 inference(monotonicity,[status(thm)],[24615])).
% 20.53/14.12 tff(24617,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB7)) | (~v138(constB7)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB7)) | (~v140(constB7)))),
% 20.53/14.12 inference(transitivity,[status(thm)],[24616, 24614])).
% 20.53/14.12 tff(24618,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB7)) | (~v138(constB7)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24619,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB7)) | (~v140(constB7))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 20.53/14.12 tff(24620,plain,
% 20.53/14.12 (~v138(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24619, 22419, 24613])).
% 20.53/14.12 tff(24621,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB7) | v142(constB7) | (~v135(constB7)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB7) | v142(constB7) | (~v135(constB7)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24622,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB7) | v142(constB7) | (~v135(constB7)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24623,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB7) | v142(constB7) | (~v135(constB7))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24622, 24621])).
% 20.53/14.12 tff(24624,plain,
% 20.53/14.12 (v142(constB7) | (~v135(constB7))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24623, 22436, 24620])).
% 20.53/14.12 tff(24625,plain,
% 20.53/14.12 (~v135(constB7)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24624, 24582])).
% 20.53/14.12 tff(24626,plain,
% 20.53/14.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB7, constB8)) | v135(constB7) | (~v137(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB7, constB8)) | v135(constB7) | (~v137(constB8)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24627,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB7, constB8)) | v135(constB7) | (~v137(constB8)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24628,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB7, constB8)) | v135(constB7) | (~v137(constB8))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24627, 24626])).
% 20.53/14.12 tff(24629,plain,
% 20.53/14.12 (v135(constB7) | (~v137(constB8))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24628, 22451, 1215])).
% 20.53/14.12 tff(24630,plain,
% 20.53/14.12 (~v137(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24629, 24625])).
% 20.53/14.12 tff(24631,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB8) | (~v138(constB8)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB8) | (~v138(constB8)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24632,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB8) | (~v138(constB8)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24633,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB8) | (~v138(constB8))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24632, 24631])).
% 20.53/14.12 tff(24634,plain,
% 20.53/14.12 (~v138(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24633, 22463, 24630])).
% 20.53/14.12 tff(24635,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB8)) | (~v141(constB8)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB8)) | (~v141(constB8)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24636,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB8)) | (~v141(constB8)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24637,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB8)) | (~v141(constB8))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24636, 24635])).
% 20.53/14.12 tff(24638,plain,
% 20.53/14.12 (~v141(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24637, 22474, 1235])).
% 20.53/14.12 tff(24639,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB8) | (~v144(constB8)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB8) | (~v144(constB8)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24640,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB8) | (~v144(constB8)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24641,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB8) | (~v144(constB8))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24640, 24639])).
% 20.53/14.12 tff(24642,plain,
% 20.53/14.12 (~v144(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24641, 22485, 24638])).
% 20.53/14.12 tff(24643,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB8) | (~v142(constB8)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB8) | (~v142(constB8)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24644,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB8) | (~v142(constB8)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24645,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB8) | (~v142(constB8))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 20.53/14.12 tff(24646,plain,
% 20.53/14.12 (~v142(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24645, 22360, 24642])).
% 20.53/14.12 tff(24647,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB8) | v142(constB8) | (~v135(constB8)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB8) | v142(constB8) | (~v135(constB8)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24648,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB8) | v142(constB8) | (~v135(constB8)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24649,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB8) | v142(constB8) | (~v135(constB8))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24648, 24647])).
% 20.53/14.12 tff(24650,plain,
% 20.53/14.12 (v138(constB8) | (~v135(constB8))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24649, 22436, 24646])).
% 20.53/14.12 tff(24651,plain,
% 20.53/14.12 (~v135(constB8)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24650, 24634])).
% 20.53/14.12 tff(24652,plain,
% 20.53/14.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB8, constB9)) | v135(constB8) | (~v137(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB8, constB9)) | v135(constB8) | (~v137(constB9)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24653,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB8, constB9)) | v135(constB8) | (~v137(constB9)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24654,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB8, constB9)) | v135(constB8) | (~v137(constB9))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24653, 24652])).
% 20.53/14.12 tff(24655,plain,
% 20.53/14.12 (v135(constB8) | (~v137(constB9))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24654, 22451, 1317])).
% 20.53/14.12 tff(24656,plain,
% 20.53/14.12 (~v137(constB9)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24655, 24651])).
% 20.53/14.12 tff(24657,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB9) | (~v138(constB9)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB9) | (~v138(constB9)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24658,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB9) | (~v138(constB9)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24659,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB9) | (~v138(constB9))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24658, 24657])).
% 20.53/14.12 tff(24660,plain,
% 20.53/14.12 (~v138(constB9)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24659, 22463, 24656])).
% 20.53/14.12 tff(24661,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB9) | v142(constB9) | (~v135(constB9)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB9) | v142(constB9) | (~v135(constB9)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24662,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB9) | v142(constB9) | (~v135(constB9)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24663,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB9) | v142(constB9) | (~v135(constB9))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24662, 24661])).
% 20.53/14.12 tff(24664,plain,
% 20.53/14.12 (v142(constB9) | (~v135(constB9))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24663, 22436, 24660])).
% 20.53/14.12 tff(24665,plain,
% 20.53/14.12 (~v135(constB9)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24664, 24570])).
% 20.53/14.12 tff(24666,plain,
% 20.53/14.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24667,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24668,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 20.53/14.12 tff(24669,plain,
% 20.53/14.12 (v135(constB9) | (~v137(constB10))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24668, 22451, 1484])).
% 20.53/14.12 tff(24670,plain,
% 20.53/14.12 (~v137(constB10)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24669, 24665])).
% 20.53/14.12 tff(24671,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB10) | (~v138(constB10)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB10) | (~v138(constB10)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24672,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB10) | (~v138(constB10)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24673,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB10) | (~v138(constB10))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 20.53/14.12 tff(24674,plain,
% 20.53/14.12 (~v138(constB10)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24673, 22463, 24670])).
% 20.53/14.12 tff(24675,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB10)) | (~v141(constB10)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB10)) | (~v141(constB10)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24676,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB10)) | (~v141(constB10)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24677,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB10)) | (~v141(constB10))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24676, 24675])).
% 20.53/14.12 tff(24678,plain,
% 20.53/14.12 (~v141(constB10)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24677, 22474, 1504])).
% 20.53/14.12 tff(24679,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB10) | (~v144(constB10)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB10) | (~v144(constB10)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24680,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB10) | (~v144(constB10)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24681,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB10) | (~v144(constB10))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24680, 24679])).
% 20.53/14.12 tff(24682,plain,
% 20.53/14.12 (~v144(constB10)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24681, 22485, 24678])).
% 20.53/14.12 tff(24683,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB10) | (~v142(constB10)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB10) | (~v142(constB10)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24684,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB10) | (~v142(constB10)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24685,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB10) | (~v142(constB10))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24684, 24683])).
% 20.53/14.12 tff(24686,plain,
% 20.53/14.12 (~v142(constB10)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24685, 22360, 24682])).
% 20.53/14.12 tff(24687,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB10) | v142(constB10) | (~v135(constB10)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB10) | v142(constB10) | (~v135(constB10)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24688,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB10) | v142(constB10) | (~v135(constB10)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24689,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB10) | v142(constB10) | (~v135(constB10))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24688, 24687])).
% 20.53/14.12 tff(24690,plain,
% 20.53/14.12 (v138(constB10) | (~v135(constB10))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24689, 22436, 24686])).
% 20.53/14.12 tff(24691,plain,
% 20.53/14.12 (~v135(constB10)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24690, 24674])).
% 20.53/14.12 tff(24692,plain,
% 20.53/14.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24693,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24694,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24693, 24692])).
% 20.53/14.12 tff(24695,plain,
% 20.53/14.12 (v135(constB10) | (~v137(constB11))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24694, 22451, 1556])).
% 20.53/14.12 tff(24696,plain,
% 20.53/14.12 (~v137(constB11)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24695, 24691])).
% 20.53/14.12 tff(24697,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB11) | (~v153(constB11)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB11) | (~v153(constB11)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24698,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB11) | (~v153(constB11)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24699,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB11) | (~v153(constB11))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24698, 24697])).
% 20.53/14.12 tff(24700,plain,
% 20.53/14.12 (~v153(constB11)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24699, 22510, 24696])).
% 20.53/14.12 tff(24701,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB11)) | (~v155(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB11)) | (~v155(constB11)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24702,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB11)) | (~v155(constB11)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24703,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB11)) | (~v155(constB11))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 20.53/14.12 tff(24704,plain,
% 20.53/14.12 (~v155(constB11)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24703, 22552, 24511])).
% 20.53/14.12 tff(24705,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB11) | v155(constB11) | (~v150(constB11)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB11) | v155(constB11) | (~v150(constB11)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24706,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB11) | v155(constB11) | (~v150(constB11)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24707,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB11) | v155(constB11) | (~v150(constB11))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24706, 24705])).
% 20.53/14.12 tff(24708,plain,
% 20.53/14.12 (v153(constB11) | (~v150(constB11))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24707, 22566, 24704])).
% 20.53/14.12 tff(24709,plain,
% 20.53/14.12 (~v150(constB11)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24708, 24700])).
% 20.53/14.12 tff(24710,plain,
% 20.53/14.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24711,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24712,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24711, 24710])).
% 20.53/14.12 tff(24713,plain,
% 20.53/14.12 (v150(constB11) | (~v152(constB12))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24712, 22581, 1706])).
% 20.53/14.12 tff(24714,plain,
% 20.53/14.12 (~v152(constB12)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24713, 24709])).
% 20.53/14.12 tff(24715,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB12) | (~v155(constB12)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB12) | (~v155(constB12)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24716,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB12) | (~v155(constB12)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24717,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB12) | (~v155(constB12))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 20.53/14.12 tff(24718,plain,
% 20.53/14.12 (~v155(constB12)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24717, 22593, 24714])).
% 20.53/14.12 tff(24719,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB12) | (~v154(constB12)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB12) | (~v154(constB12)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24720,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB12) | (~v154(constB12)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24721,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB12) | (~v154(constB12))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 20.53/14.12 tff(24722,plain,
% 20.53/14.12 (~v154(constB12)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24721, 22608, 24536])).
% 20.53/14.12 tff(24723,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB12) | (~v153(constB12)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB12) | (~v153(constB12)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24724,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB12) | (~v153(constB12)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24725,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB12) | (~v153(constB12))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24724, 24723])).
% 20.53/14.12 tff(24726,plain,
% 20.53/14.12 (~v153(constB12)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24725, 22619, 24722])).
% 20.53/14.12 tff(24727,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB12) | v155(constB12) | (~v150(constB12)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB12) | v155(constB12) | (~v150(constB12)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24728,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB12) | v155(constB12) | (~v150(constB12)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24729,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB12) | v155(constB12) | (~v150(constB12))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24728, 24727])).
% 20.53/14.12 tff(24730,plain,
% 20.53/14.12 (v155(constB12) | (~v150(constB12))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24729, 22566, 24726])).
% 20.53/14.12 tff(24731,plain,
% 20.53/14.12 (~v150(constB12)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24730, 24718])).
% 20.53/14.12 tff(24732,plain,
% 20.53/14.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24733,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24734,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24733, 24732])).
% 20.53/14.12 tff(24735,plain,
% 20.53/14.12 (v150(constB12) | (~v152(constB13))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24734, 22581, 1778])).
% 20.53/14.12 tff(24736,plain,
% 20.53/14.12 (~v152(constB13)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24735, 24731])).
% 20.53/14.12 tff(24737,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB13) | (~v155(constB13)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB13) | (~v155(constB13)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24738,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB13) | (~v155(constB13)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24739,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB13) | (~v155(constB13))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24738, 24737])).
% 20.53/14.12 tff(24740,plain,
% 20.53/14.12 (~v155(constB13)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24739, 22593, 24736])).
% 20.53/14.12 tff(24741,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB13) | v155(constB13) | (~v150(constB13)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB13) | v155(constB13) | (~v150(constB13)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24742,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB13) | v155(constB13) | (~v150(constB13)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24743,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB13) | v155(constB13) | (~v150(constB13))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24742, 24741])).
% 20.53/14.12 tff(24744,plain,
% 20.53/14.12 (v153(constB13) | (~v150(constB13))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24743, 22566, 24740])).
% 20.53/14.12 tff(24745,plain,
% 20.53/14.12 (~v150(constB13)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24744, 24558])).
% 20.53/14.12 tff(24746,plain,
% 20.53/14.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB13, constB14)) | v150(constB13) | (~v152(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB13, constB14)) | v150(constB13) | (~v152(constB14)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24747,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB13, constB14)) | v150(constB13) | (~v152(constB14)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24748,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB13, constB14)) | v150(constB13) | (~v152(constB14))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24747, 24746])).
% 20.53/14.12 tff(24749,plain,
% 20.53/14.12 (v150(constB13) | (~v152(constB14))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24748, 22581, 1924])).
% 20.53/14.12 tff(24750,plain,
% 20.53/14.12 (~v152(constB14)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24749, 24745])).
% 20.53/14.12 tff(24751,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB14) | (~v155(constB14)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB14) | (~v155(constB14)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24752,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB14) | (~v155(constB14)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24753,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB14) | (~v155(constB14))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24752, 24751])).
% 20.53/14.12 tff(24754,plain,
% 20.53/14.12 (~v155(constB14)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24753, 22593, 24750])).
% 20.53/14.12 tff(24755,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB14)) | (~v141(constB14)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB14)) | (~v141(constB14)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24756,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB14)) | (~v141(constB14)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24757,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB14)) | (~v141(constB14))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24756, 24755])).
% 20.53/14.12 tff(24758,plain,
% 20.53/14.12 (~v141(constB14)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24757, 22474, 1944])).
% 20.53/14.12 tff(24759,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB14) | (~v154(constB14)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB14) | (~v154(constB14)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24760,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB14) | (~v154(constB14)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24761,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB14) | (~v154(constB14))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24760, 24759])).
% 20.53/14.12 tff(24762,plain,
% 20.53/14.12 (~v154(constB14)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24761, 22608, 24758])).
% 20.53/14.12 tff(24763,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB14) | (~v153(constB14)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB14) | (~v153(constB14)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24764,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB14) | (~v153(constB14)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24765,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB14) | (~v153(constB14))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24764, 24763])).
% 20.53/14.12 tff(24766,plain,
% 20.53/14.12 (~v153(constB14)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24765, 22619, 24762])).
% 20.53/14.12 tff(24767,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB14) | v155(constB14) | (~v150(constB14)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB14) | v155(constB14) | (~v150(constB14)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24768,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB14) | v155(constB14) | (~v150(constB14)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24769,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB14) | v155(constB14) | (~v150(constB14))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24768, 24767])).
% 20.53/14.12 tff(24770,plain,
% 20.53/14.12 (v155(constB14) | (~v150(constB14))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24769, 22566, 24766])).
% 20.53/14.12 tff(24771,plain,
% 20.53/14.12 (~v150(constB14)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24770, 24754])).
% 20.53/14.12 tff(24772,plain,
% 20.53/14.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB14, constB15)) | v150(constB14) | (~v152(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB14, constB15)) | v150(constB14) | (~v152(constB15)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24773,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB14, constB15)) | v150(constB14) | (~v152(constB15)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24774,plain,
% 20.53/14.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB14, constB15)) | v150(constB14) | (~v152(constB15))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24773, 24772])).
% 20.53/14.12 tff(24775,plain,
% 20.53/14.12 (v150(constB14) | (~v152(constB15))),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24774, 22581, 2071])).
% 20.53/14.12 tff(24776,plain,
% 20.53/14.12 (~v152(constB15)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24775, 24771])).
% 20.53/14.12 tff(24777,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB15) | (~v164(constB15)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB15) | (~v164(constB15)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24778,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB15) | (~v164(constB15)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24779,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB15) | (~v164(constB15))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 20.53/14.12 tff(24780,plain,
% 20.53/14.12 (~v164(constB15)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24779, 22640, 24776])).
% 20.53/14.12 tff(24781,assumption,(v18(constB16)), introduced(assumption)).
% 20.53/14.12 tff(24782,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB16))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24783,plain,
% 20.53/14.12 ($false),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24782, 2627, 24781])).
% 20.53/14.12 tff(24784,plain,(~v18(constB16)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.12 tff(24785,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16)))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24786,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24787,plain,
% 20.53/14.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16))),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24786, 24785])).
% 20.53/14.12 tff(24788,plain,
% 20.53/14.12 (v22(constB16)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24787, 2640, 2251])).
% 20.53/14.12 tff(24789,plain,
% 20.53/14.12 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB16)) | (~v22(constB16)) | v18(constB16))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB16)) | (~v22(constB16)) | v18(constB16))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.12 tff(24790,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB16)) | (~v22(constB16)) | v18(constB16))),
% 20.53/14.12 inference(quant_inst,[status(thm)],[])).
% 20.53/14.12 tff(24791,plain,
% 20.53/14.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB16)) | (~v22(constB16)) | v18(constB16)),
% 20.53/14.12 inference(modus_ponens,[status(thm)],[24790, 24789])).
% 20.53/14.12 tff(24792,plain,
% 20.53/14.12 ((~v19(constB16)) | v18(constB16)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24791, 2654, 24788])).
% 20.53/14.12 tff(24793,plain,
% 20.53/14.12 (~v19(constB16)),
% 20.53/14.12 inference(unit_resolution,[status(thm)],[24792, 24784])).
% 20.53/14.12 tff(24794,plain,
% 20.53/14.12 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16))),
% 20.53/14.12 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24795,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24796,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24795, 24794])).
% 20.53/14.13 tff(24797,plain,
% 20.53/14.13 (v13(constB16)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24796, 2669, 24793])).
% 20.53/14.13 tff(24798,plain,
% 20.53/14.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24799,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24800,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB15, constB16)) | (~v13(constB16)) | v9(constB15)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24799, 24798])).
% 20.53/14.13 tff(24801,plain,
% 20.53/14.13 ((~v13(constB16)) | v9(constB15)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24800, 2686, 2231])).
% 20.53/14.13 tff(24802,plain,
% 20.53/14.13 (v9(constB15)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24801, 24797])).
% 20.53/14.13 tff(24803,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v141(constB15))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB15) | (~v9(constB15)) | v141(constB15))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24804,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v141(constB15))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24805,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB15) | (~v9(constB15)) | v141(constB15)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24804, 24803])).
% 20.53/14.13 tff(24806,plain,
% 20.53/14.13 ((~v9(constB15)) | v141(constB15)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24805, 22396, 2068])).
% 20.53/14.13 tff(24807,plain,
% 20.53/14.13 (v141(constB15)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24806, 24802])).
% 20.53/14.13 tff(24808,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB15) | (~v141(constB15)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB15) | (~v141(constB15)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24809,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB15) | (~v141(constB15)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24810,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB15) | (~v141(constB15))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 20.53/14.13 tff(24811,plain,
% 20.53/14.13 (v140(constB15)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24810, 22408, 24807])).
% 20.53/14.13 tff(24812,plain,
% 20.53/14.13 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB15)) | (~v163(constB15)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB15)) | (~v163(constB15)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24813,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB15)) | (~v163(constB15)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24814,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB15)) | (~v163(constB15))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24813, 24812])).
% 20.53/14.13 tff(24815,plain,
% 20.53/14.13 (~v163(constB15)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24814, 22781, 24811])).
% 20.53/14.13 tff(24816,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB15)) | v163(constB15) | v164(constB15))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB15)) | v163(constB15) | v164(constB15))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24817,plain,
% 20.53/14.13 ((v164(constB15) | v163(constB15) | (~v160(constB15))) <=> ((~v160(constB15)) | v163(constB15) | v164(constB15))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24818,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB15) | v163(constB15) | (~v160(constB15)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB15)) | v163(constB15) | v164(constB15)))),
% 20.53/14.13 inference(monotonicity,[status(thm)],[24817])).
% 20.53/14.13 tff(24819,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB15) | v163(constB15) | (~v160(constB15)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB15)) | v163(constB15) | v164(constB15))),
% 20.53/14.13 inference(transitivity,[status(thm)],[24818, 24816])).
% 20.53/14.13 tff(24820,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB15) | v163(constB15) | (~v160(constB15)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24821,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB15)) | v163(constB15) | v164(constB15)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24820, 24819])).
% 20.53/14.13 tff(24822,plain,
% 20.53/14.13 ((~v160(constB15)) | v164(constB15)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24821, 22795, 24815])).
% 20.53/14.13 tff(24823,plain,
% 20.53/14.13 (~v160(constB15)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24822, 24780])).
% 20.53/14.13 tff(24824,plain,
% 20.53/14.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB15, constB16)) | v160(constB15) | (~v162(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB15, constB16)) | v160(constB15) | (~v162(constB16)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24825,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB15, constB16)) | v160(constB15) | (~v162(constB16)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24826,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB15, constB16)) | v160(constB15) | (~v162(constB16))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24825, 24824])).
% 20.53/14.13 tff(24827,plain,
% 20.53/14.13 (v160(constB15) | (~v162(constB16))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24826, 22813, 2231])).
% 20.53/14.13 tff(24828,plain,
% 20.53/14.13 (~v162(constB16)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24827, 24823])).
% 20.53/14.13 tff(24829,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB16) | (~v163(constB16)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB16) | (~v163(constB16)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24830,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB16) | (~v163(constB16)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24831,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB16) | (~v163(constB16))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24830, 24829])).
% 20.53/14.13 tff(24832,plain,
% 20.53/14.13 (~v163(constB16)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24831, 22825, 24828])).
% 20.53/14.13 tff(24833,plain,
% 20.53/14.13 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB16)) | (~v141(constB16)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB16)) | (~v141(constB16)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24834,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB16)) | (~v141(constB16)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24835,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB16)) | (~v141(constB16))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24834, 24833])).
% 20.53/14.13 tff(24836,plain,
% 20.53/14.13 (~v141(constB16)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24835, 22474, 2251])).
% 20.53/14.13 tff(24837,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB16) | (~v154(constB16)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB16) | (~v154(constB16)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24838,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB16) | (~v154(constB16)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24839,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB16) | (~v154(constB16))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24838, 24837])).
% 20.53/14.13 tff(24840,plain,
% 20.53/14.13 (~v154(constB16)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24839, 22608, 24836])).
% 20.53/14.13 tff(24841,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB16) | (~v164(constB16)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB16) | (~v164(constB16)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24842,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB16) | (~v164(constB16)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24843,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB16) | (~v164(constB16))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24842, 24841])).
% 20.53/14.13 tff(24844,plain,
% 20.53/14.13 (~v164(constB16)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24843, 22836, 24840])).
% 20.53/14.13 tff(24845,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB16)) | v164(constB16) | v163(constB16))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB16)) | v164(constB16) | v163(constB16))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24846,plain,
% 20.53/14.13 ((v164(constB16) | v163(constB16) | (~v160(constB16))) <=> ((~v160(constB16)) | v164(constB16) | v163(constB16))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24847,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB16) | v163(constB16) | (~v160(constB16)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB16)) | v164(constB16) | v163(constB16)))),
% 20.53/14.13 inference(monotonicity,[status(thm)],[24846])).
% 20.53/14.13 tff(24848,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB16) | v163(constB16) | (~v160(constB16)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB16)) | v164(constB16) | v163(constB16))),
% 20.53/14.13 inference(transitivity,[status(thm)],[24847, 24845])).
% 20.53/14.13 tff(24849,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB16) | v163(constB16) | (~v160(constB16)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24850,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB16)) | v164(constB16) | v163(constB16)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24849, 24848])).
% 20.53/14.13 tff(24851,plain,
% 20.53/14.13 ((~v160(constB16)) | v163(constB16)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24850, 22795, 24844])).
% 20.53/14.13 tff(24852,plain,
% 20.53/14.13 (~v160(constB16)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24851, 24832])).
% 20.53/14.13 tff(24853,plain,
% 20.53/14.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB16, constB17)) | v160(constB16) | (~v162(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB16, constB17)) | v160(constB16) | (~v162(constB17)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24854,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB16, constB17)) | v160(constB16) | (~v162(constB17)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24855,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB16, constB17)) | v160(constB16) | (~v162(constB17))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24854, 24853])).
% 20.53/14.13 tff(24856,plain,
% 20.53/14.13 (v160(constB16) | (~v162(constB17))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24855, 22813, 2300])).
% 20.53/14.13 tff(24857,plain,
% 20.53/14.13 (~v162(constB17)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24856, 24852])).
% 20.53/14.13 tff(24858,plain,
% 20.53/14.13 ($false),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24857, 24468])).
% 20.53/14.13 tff(24859,plain,(~(constB17 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.13 tff(24860,assumption,(constB161 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.13 tff(24861,plain,
% 20.53/14.13 (v162(constB161) <=> v162(sK0_VarCurr)),
% 20.53/14.13 inference(monotonicity,[status(thm)],[24860])).
% 20.53/14.13 tff(24862,plain,
% 20.53/14.13 (v162(sK0_VarCurr) <=> v162(constB161)),
% 20.53/14.13 inference(symmetry,[status(thm)],[24861])).
% 20.53/14.13 tff(24863,plain,
% 20.53/14.13 (v162(constB161)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[22337, 24862])).
% 20.53/14.13 tff(24864,plain,
% 20.53/14.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB155, bitIndex2)) | (~v145(constB155)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB155, bitIndex2)) | (~v145(constB155)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24865,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB155, bitIndex2)) | (~v145(constB155)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24866,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB155, bitIndex2)) | (~v145(constB155))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24865, 24864])).
% 20.53/14.13 tff(24867,plain,
% 20.53/14.13 (~v145(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24866, 10327, 23536])).
% 20.53/14.13 tff(24868,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB155) | (~v144(constB155)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB155) | (~v144(constB155)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24869,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB155) | (~v144(constB155)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24870,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB155) | (~v144(constB155))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24869, 24868])).
% 20.53/14.13 tff(24871,plain,
% 20.53/14.13 (~v144(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24870, 22349, 24867])).
% 20.53/14.13 tff(24872,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB155) | (~v142(constB155)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24873,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB155) | (~v142(constB155)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24874,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB155) | (~v142(constB155))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24873, 24872])).
% 20.53/14.13 tff(24875,plain,
% 20.53/14.13 (~v142(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24874, 22360, 24871])).
% 20.53/14.13 tff(24876,assumption,(v18(constB156)), introduced(assumption)).
% 20.53/14.13 tff(24877,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB156))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24878,plain,
% 20.53/14.13 ($false),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24877, 2627, 24876])).
% 20.53/14.13 tff(24879,plain,(~v18(constB156)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.13 tff(24880,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24881,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24882,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24881, 24880])).
% 20.53/14.13 tff(24883,plain,
% 20.53/14.13 (v22(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24882, 2640, 18868])).
% 20.53/14.13 tff(24884,plain,
% 20.53/14.13 (((~![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))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24885,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB156)) | (~v22(constB156)) | v18(constB156))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24886,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB156)) | (~v22(constB156)) | v18(constB156)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24885, 24884])).
% 20.53/14.13 tff(24887,plain,
% 20.53/14.13 ((~v19(constB156)) | v18(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24886, 2654, 24883])).
% 20.53/14.13 tff(24888,plain,
% 20.53/14.13 (~v19(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24887, 24879])).
% 20.53/14.13 tff(24889,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24890,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24891,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24890, 24889])).
% 20.53/14.13 tff(24892,plain,
% 20.53/14.13 (v13(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24891, 2669, 24888])).
% 20.53/14.13 tff(24893,plain,
% 20.53/14.13 (((~![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))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24894,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24895,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB155, constB156)) | (~v13(constB156)) | v9(constB155)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24894, 24893])).
% 20.53/14.13 tff(24896,plain,
% 20.53/14.13 ((~v13(constB156)) | v9(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24895, 2686, 18848])).
% 20.53/14.13 tff(24897,plain,
% 20.53/14.13 (v9(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24896, 24892])).
% 20.53/14.13 tff(24898,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v141(constB155))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB155) | (~v9(constB155)) | v141(constB155))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24899,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v141(constB155))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24900,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB155) | (~v9(constB155)) | v141(constB155)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24899, 24898])).
% 20.53/14.13 tff(24901,plain,
% 20.53/14.13 ((~v9(constB155)) | v141(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24900, 22396, 18730])).
% 20.53/14.13 tff(24902,plain,
% 20.53/14.13 (v141(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24901, 24897])).
% 20.53/14.13 tff(24903,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB155) | (~v141(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB155) | (~v141(constB155)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24904,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB155) | (~v141(constB155)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24905,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB155) | (~v141(constB155))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 20.53/14.13 tff(24906,plain,
% 20.53/14.13 (v140(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24905, 22408, 24902])).
% 20.53/14.13 tff(24907,plain,
% 20.53/14.13 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB155)) | (~v138(constB155)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB155)) | (~v138(constB155)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24908,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB155)) | (~v138(constB155)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24909,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB155)) | (~v138(constB155))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24908, 24907])).
% 20.53/14.13 tff(24910,plain,
% 20.53/14.13 (~v138(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24909, 22419, 24906])).
% 20.53/14.13 tff(24911,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB155) | v142(constB155) | (~v135(constB155)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB155) | v142(constB155) | (~v135(constB155)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24912,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB155) | v142(constB155) | (~v135(constB155)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24913,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB155) | v142(constB155) | (~v135(constB155))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24912, 24911])).
% 20.53/14.13 tff(24914,plain,
% 20.53/14.13 (v142(constB155) | (~v135(constB155))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24913, 22436, 24910])).
% 20.53/14.13 tff(24915,plain,
% 20.53/14.13 (~v135(constB155)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24914, 24875])).
% 20.53/14.13 tff(24916,plain,
% 20.53/14.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24917,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24918,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24917, 24916])).
% 20.53/14.13 tff(24919,plain,
% 20.53/14.13 (v135(constB155) | (~v137(constB156))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24918, 22451, 18848])).
% 20.53/14.13 tff(24920,plain,
% 20.53/14.13 (~v137(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24919, 24915])).
% 20.53/14.13 tff(24921,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB156) | (~v138(constB156)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB156) | (~v138(constB156)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24922,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB156) | (~v138(constB156)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24923,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB156) | (~v138(constB156))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24922, 24921])).
% 20.53/14.13 tff(24924,plain,
% 20.53/14.13 (~v138(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24923, 22463, 24920])).
% 20.53/14.13 tff(24925,plain,
% 20.53/14.13 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB156)) | (~v141(constB156)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB156)) | (~v141(constB156)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24926,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB156)) | (~v141(constB156)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24927,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB156)) | (~v141(constB156))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24926, 24925])).
% 20.53/14.13 tff(24928,plain,
% 20.53/14.13 (~v141(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24927, 22474, 18868])).
% 20.53/14.13 tff(24929,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB156) | (~v144(constB156)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB156) | (~v144(constB156)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24930,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB156) | (~v144(constB156)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24931,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB156) | (~v144(constB156))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24930, 24929])).
% 20.53/14.13 tff(24932,plain,
% 20.53/14.13 (~v144(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24931, 22485, 24928])).
% 20.53/14.13 tff(24933,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB156) | (~v142(constB156)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB156) | (~v142(constB156)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24934,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB156) | (~v142(constB156)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24935,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB156) | (~v142(constB156))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 20.53/14.13 tff(24936,plain,
% 20.53/14.13 (~v142(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24935, 22360, 24932])).
% 20.53/14.13 tff(24937,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB156) | v142(constB156) | (~v135(constB156)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB156) | v142(constB156) | (~v135(constB156)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24938,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB156) | v142(constB156) | (~v135(constB156)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24939,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB156) | v142(constB156) | (~v135(constB156))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24938, 24937])).
% 20.53/14.13 tff(24940,plain,
% 20.53/14.13 (v138(constB156) | (~v135(constB156))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24939, 22436, 24936])).
% 20.53/14.13 tff(24941,plain,
% 20.53/14.13 (~v135(constB156)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24940, 24924])).
% 20.53/14.13 tff(24942,plain,
% 20.53/14.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24943,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24944,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24943, 24942])).
% 20.53/14.13 tff(24945,plain,
% 20.53/14.13 (v135(constB156) | (~v137(constB157))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24944, 22451, 18910])).
% 20.53/14.13 tff(24946,plain,
% 20.53/14.13 (~v137(constB157)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24945, 24941])).
% 20.53/14.13 tff(24947,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB157) | (~v153(constB157)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB157) | (~v153(constB157)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24948,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB157) | (~v153(constB157)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24949,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB157) | (~v153(constB157))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24948, 24947])).
% 20.53/14.13 tff(24950,plain,
% 20.53/14.13 (~v153(constB157)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24949, 22510, 24946])).
% 20.53/14.13 tff(24951,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v141(constB157))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB157) | (~v9(constB157)) | v141(constB157))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24952,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v141(constB157))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24953,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB157) | (~v9(constB157)) | v141(constB157)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24952, 24951])).
% 20.53/14.13 tff(24954,plain,
% 20.53/14.13 ((~v9(constB157)) | v141(constB157)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24953, 22396, 18907])).
% 20.53/14.13 tff(24955,plain,
% 20.53/14.13 (v141(constB157)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24954, 19025])).
% 20.53/14.13 tff(24956,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB157) | (~v141(constB157)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB157) | (~v141(constB157)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24957,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB157) | (~v141(constB157)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24958,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB157) | (~v141(constB157))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24957, 24956])).
% 20.53/14.13 tff(24959,plain,
% 20.53/14.13 (v140(constB157)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24958, 22408, 24955])).
% 20.53/14.13 tff(24960,plain,
% 20.53/14.13 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB157)) | (~v155(constB157)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB157)) | (~v155(constB157)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24961,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB157)) | (~v155(constB157)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24962,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB157)) | (~v155(constB157))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24961, 24960])).
% 20.53/14.13 tff(24963,plain,
% 20.53/14.13 (~v155(constB157)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24962, 22552, 24959])).
% 20.53/14.13 tff(24964,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB157) | v155(constB157) | (~v150(constB157)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB157) | v155(constB157) | (~v150(constB157)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24965,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB157) | v155(constB157) | (~v150(constB157)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24966,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB157) | v155(constB157) | (~v150(constB157))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24965, 24964])).
% 20.53/14.13 tff(24967,plain,
% 20.53/14.13 (v153(constB157) | (~v150(constB157))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24966, 22566, 24963])).
% 20.53/14.13 tff(24968,plain,
% 20.53/14.13 (~v150(constB157)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24967, 24950])).
% 20.53/14.13 tff(24969,plain,
% 20.53/14.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB157, constB158)) | v150(constB157) | (~v152(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB157, constB158)) | v150(constB157) | (~v152(constB158)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24970,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB157, constB158)) | v150(constB157) | (~v152(constB158)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24971,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB157, constB158)) | v150(constB157) | (~v152(constB158))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24970, 24969])).
% 20.53/14.13 tff(24972,plain,
% 20.53/14.13 (v150(constB157) | (~v152(constB158))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24971, 22581, 19020])).
% 20.53/14.13 tff(24973,plain,
% 20.53/14.13 (~v152(constB158)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24972, 24968])).
% 20.53/14.13 tff(24974,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB158) | (~v155(constB158)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB158) | (~v155(constB158)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24975,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB158) | (~v155(constB158)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24976,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB158) | (~v155(constB158))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24975, 24974])).
% 20.53/14.13 tff(24977,plain,
% 20.53/14.13 (~v155(constB158)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24976, 22593, 24973])).
% 20.53/14.13 tff(24978,plain,
% 20.53/14.13 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB158)) | (~v141(constB158)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB158)) | (~v141(constB158)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24979,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB158)) | (~v141(constB158)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24980,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB158)) | (~v141(constB158))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24979, 24978])).
% 20.53/14.13 tff(24981,plain,
% 20.53/14.13 (~v141(constB158)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24980, 22474, 19004])).
% 20.53/14.13 tff(24982,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB158) | (~v154(constB158)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB158) | (~v154(constB158)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24983,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB158) | (~v154(constB158)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24984,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB158) | (~v154(constB158))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24983, 24982])).
% 20.53/14.13 tff(24985,plain,
% 20.53/14.13 (~v154(constB158)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24984, 22608, 24981])).
% 20.53/14.13 tff(24986,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB158) | (~v153(constB158)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB158) | (~v153(constB158)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24987,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB158) | (~v153(constB158)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24988,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB158) | (~v153(constB158))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24987, 24986])).
% 20.53/14.13 tff(24989,plain,
% 20.53/14.13 (~v153(constB158)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24988, 22619, 24985])).
% 20.53/14.13 tff(24990,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB158) | v155(constB158) | (~v150(constB158)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB158) | v155(constB158) | (~v150(constB158)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24991,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB158) | v155(constB158) | (~v150(constB158)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24992,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB158) | v155(constB158) | (~v150(constB158))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24991, 24990])).
% 20.53/14.13 tff(24993,plain,
% 20.53/14.13 (v155(constB158) | (~v150(constB158))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24992, 22566, 24989])).
% 20.53/14.13 tff(24994,plain,
% 20.53/14.13 (~v150(constB158)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24993, 24977])).
% 20.53/14.13 tff(24995,plain,
% 20.53/14.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB158, constB159)) | v150(constB158) | (~v152(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB158, constB159)) | v150(constB158) | (~v152(constB159)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(24996,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB158, constB159)) | v150(constB158) | (~v152(constB159)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(24997,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB158, constB159)) | v150(constB158) | (~v152(constB159))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[24996, 24995])).
% 20.53/14.13 tff(24998,plain,
% 20.53/14.13 (v150(constB158) | (~v152(constB159))),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24997, 22581, 19203])).
% 20.53/14.13 tff(24999,plain,
% 20.53/14.13 (~v152(constB159)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[24998, 24994])).
% 20.53/14.13 tff(25000,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB159) | (~v164(constB159)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB159) | (~v164(constB159)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(25001,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB159) | (~v164(constB159)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(25002,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB159) | (~v164(constB159))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[25001, 25000])).
% 20.53/14.13 tff(25003,plain,
% 20.53/14.13 (~v164(constB159)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[25002, 22640, 24999])).
% 20.53/14.13 tff(25004,assumption,(v18(constB160)), introduced(assumption)).
% 20.53/14.13 tff(25005,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB160))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(25006,plain,
% 20.53/14.13 ($false),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[25005, 2627, 25004])).
% 20.53/14.13 tff(25007,plain,(~v18(constB160)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.13 tff(25008,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160)))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(25009,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(25010,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160))),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[25009, 25008])).
% 20.53/14.13 tff(25011,plain,
% 20.53/14.13 (v22(constB160)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[25010, 2640, 19364])).
% 20.53/14.13 tff(25012,plain,
% 20.53/14.13 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB160)) | (~v22(constB160)) | v18(constB160))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB160)) | (~v22(constB160)) | v18(constB160))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(25013,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB160)) | (~v22(constB160)) | v18(constB160))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(25014,plain,
% 20.53/14.13 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB160)) | (~v22(constB160)) | v18(constB160)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[25013, 25012])).
% 20.53/14.13 tff(25015,plain,
% 20.53/14.13 ((~v19(constB160)) | v18(constB160)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[25014, 2654, 25011])).
% 20.53/14.13 tff(25016,plain,
% 20.53/14.13 (~v19(constB160)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[25015, 25007])).
% 20.53/14.13 tff(25017,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(25018,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(25019,plain,
% 20.53/14.13 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[25018, 25017])).
% 20.53/14.13 tff(25020,plain,
% 20.53/14.13 (v13(constB160)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[25019, 2669, 25016])).
% 20.53/14.13 tff(25021,plain,
% 20.53/14.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.13 tff(25022,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159))),
% 20.53/14.13 inference(quant_inst,[status(thm)],[])).
% 20.53/14.13 tff(25023,plain,
% 20.53/14.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB159, constB160)) | (~v13(constB160)) | v9(constB159)),
% 20.53/14.13 inference(modus_ponens,[status(thm)],[25022, 25021])).
% 20.53/14.13 tff(25024,plain,
% 20.53/14.13 ((~v13(constB160)) | v9(constB159)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[25023, 2686, 19344])).
% 20.53/14.13 tff(25025,plain,
% 20.53/14.13 (v9(constB159)),
% 20.53/14.13 inference(unit_resolution,[status(thm)],[25024, 25020])).
% 20.53/14.13 tff(25026,plain,
% 20.53/14.13 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v141(constB159))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB159) | (~v9(constB159)) | v141(constB159))),
% 20.53/14.13 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25027,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v141(constB159))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25028,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB159) | (~v9(constB159)) | v141(constB159)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25027, 25026])).
% 20.53/14.14 tff(25029,plain,
% 20.53/14.14 ((~v9(constB159)) | v141(constB159)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25028, 22396, 19200])).
% 20.53/14.14 tff(25030,plain,
% 20.53/14.14 (v141(constB159)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25029, 25025])).
% 20.53/14.14 tff(25031,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB159) | (~v141(constB159)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB159) | (~v141(constB159)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25032,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB159) | (~v141(constB159)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25033,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB159) | (~v141(constB159))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25032, 25031])).
% 20.53/14.14 tff(25034,plain,
% 20.53/14.14 (v140(constB159)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25033, 22408, 25030])).
% 20.53/14.14 tff(25035,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB159)) | (~v163(constB159)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB159)) | (~v163(constB159)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25036,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB159)) | (~v163(constB159)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25037,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB159)) | (~v163(constB159))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25036, 25035])).
% 20.53/14.14 tff(25038,plain,
% 20.53/14.14 (~v163(constB159)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25037, 22781, 25034])).
% 20.53/14.14 tff(25039,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB159)) | v163(constB159) | v164(constB159))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB159)) | v163(constB159) | v164(constB159))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25040,plain,
% 20.53/14.14 ((v164(constB159) | v163(constB159) | (~v160(constB159))) <=> ((~v160(constB159)) | v163(constB159) | v164(constB159))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25041,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB159) | v163(constB159) | (~v160(constB159)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB159)) | v163(constB159) | v164(constB159)))),
% 20.53/14.14 inference(monotonicity,[status(thm)],[25040])).
% 20.53/14.14 tff(25042,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB159) | v163(constB159) | (~v160(constB159)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB159)) | v163(constB159) | v164(constB159))),
% 20.53/14.14 inference(transitivity,[status(thm)],[25041, 25039])).
% 20.53/14.14 tff(25043,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB159) | v163(constB159) | (~v160(constB159)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25044,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB159)) | v163(constB159) | v164(constB159)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25043, 25042])).
% 20.53/14.14 tff(25045,plain,
% 20.53/14.14 ((~v160(constB159)) | v164(constB159)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25044, 22795, 25038])).
% 20.53/14.14 tff(25046,plain,
% 20.53/14.14 (~v160(constB159)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25045, 25003])).
% 20.53/14.14 tff(25047,plain,
% 20.53/14.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB159, constB160)) | v160(constB159) | (~v162(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB159, constB160)) | v160(constB159) | (~v162(constB160)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25048,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB159, constB160)) | v160(constB159) | (~v162(constB160)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25049,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB159, constB160)) | v160(constB159) | (~v162(constB160))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25048, 25047])).
% 20.53/14.14 tff(25050,plain,
% 20.53/14.14 (v160(constB159) | (~v162(constB160))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25049, 22813, 19344])).
% 20.53/14.14 tff(25051,plain,
% 20.53/14.14 (~v162(constB160)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25050, 25046])).
% 20.53/14.14 tff(25052,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB160) | (~v163(constB160)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB160) | (~v163(constB160)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25053,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB160) | (~v163(constB160)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25054,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB160) | (~v163(constB160))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25053, 25052])).
% 20.53/14.14 tff(25055,plain,
% 20.53/14.14 (~v163(constB160)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25054, 22825, 25051])).
% 20.53/14.14 tff(25056,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB160)) | (~v141(constB160)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB160)) | (~v141(constB160)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25057,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB160)) | (~v141(constB160)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25058,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB160)) | (~v141(constB160))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25057, 25056])).
% 20.53/14.14 tff(25059,plain,
% 20.53/14.14 (~v141(constB160)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25058, 22474, 19364])).
% 20.53/14.14 tff(25060,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB160) | (~v154(constB160)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB160) | (~v154(constB160)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25061,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB160) | (~v154(constB160)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25062,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB160) | (~v154(constB160))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25061, 25060])).
% 20.53/14.14 tff(25063,plain,
% 20.53/14.14 (~v154(constB160)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25062, 22608, 25059])).
% 20.53/14.14 tff(25064,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB160) | (~v164(constB160)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB160) | (~v164(constB160)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25065,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB160) | (~v164(constB160)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25066,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB160) | (~v164(constB160))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25065, 25064])).
% 20.53/14.14 tff(25067,plain,
% 20.53/14.14 (~v164(constB160)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25066, 22836, 25063])).
% 20.53/14.14 tff(25068,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB160)) | v164(constB160) | v163(constB160))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB160)) | v164(constB160) | v163(constB160))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25069,plain,
% 20.53/14.14 ((v164(constB160) | v163(constB160) | (~v160(constB160))) <=> ((~v160(constB160)) | v164(constB160) | v163(constB160))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25070,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB160) | v163(constB160) | (~v160(constB160)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB160)) | v164(constB160) | v163(constB160)))),
% 20.53/14.14 inference(monotonicity,[status(thm)],[25069])).
% 20.53/14.14 tff(25071,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB160) | v163(constB160) | (~v160(constB160)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB160)) | v164(constB160) | v163(constB160))),
% 20.53/14.14 inference(transitivity,[status(thm)],[25070, 25068])).
% 20.53/14.14 tff(25072,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB160) | v163(constB160) | (~v160(constB160)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25073,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB160)) | v164(constB160) | v163(constB160)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25072, 25071])).
% 20.53/14.14 tff(25074,plain,
% 20.53/14.14 ((~v160(constB160)) | v163(constB160)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25073, 22795, 25067])).
% 20.53/14.14 tff(25075,plain,
% 20.53/14.14 (~v160(constB160)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25074, 25055])).
% 20.53/14.14 tff(25076,plain,
% 20.53/14.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB160, constB161)) | v160(constB160) | (~v162(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB160, constB161)) | v160(constB160) | (~v162(constB161)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25077,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB160, constB161)) | v160(constB160) | (~v162(constB161)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25078,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB160, constB161)) | v160(constB160) | (~v162(constB161))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25077, 25076])).
% 20.53/14.14 tff(25079,plain,
% 20.53/14.14 (v160(constB160) | (~v162(constB161))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25078, 22813, 19413])).
% 20.53/14.14 tff(25080,plain,
% 20.53/14.14 (~v162(constB161)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25079, 25075])).
% 20.53/14.14 tff(25081,plain,
% 20.53/14.14 ($false),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25080, 24863])).
% 20.53/14.14 tff(25082,plain,(~(constB161 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.14 tff(25083,assumption,(constB130 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.14 tff(25084,plain,
% 20.53/14.14 (v1(constB130) <=> v1(sK0_VarCurr)),
% 20.53/14.14 inference(monotonicity,[status(thm)],[25083])).
% 20.53/14.14 tff(25085,plain,
% 20.53/14.14 (v1(sK0_VarCurr) <=> v1(constB130)),
% 20.53/14.14 inference(symmetry,[status(thm)],[25084])).
% 20.53/14.14 tff(25086,plain,
% 20.53/14.14 ((~v1(sK0_VarCurr)) <=> (~v1(constB130))),
% 20.53/14.14 inference(monotonicity,[status(thm)],[25085])).
% 20.53/14.14 tff(25087,plain,
% 20.53/14.14 (~v1(constB130)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[23510, 25086])).
% 20.53/14.14 tff(25088,plain,
% 20.53/14.14 ($false),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[16125, 25087])).
% 20.53/14.14 tff(25089,plain,(~(constB130 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.14 tff(25090,assumption,(constB30 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.14 tff(25091,plain,
% 20.53/14.14 (v1(constB30) <=> v1(sK0_VarCurr)),
% 20.53/14.14 inference(monotonicity,[status(thm)],[25090])).
% 20.53/14.14 tff(25092,plain,
% 20.53/14.14 (v1(sK0_VarCurr) <=> v1(constB30)),
% 20.53/14.14 inference(symmetry,[status(thm)],[25091])).
% 20.53/14.14 tff(25093,plain,
% 20.53/14.14 ((~v1(sK0_VarCurr)) <=> (~v1(constB30))),
% 20.53/14.14 inference(monotonicity,[status(thm)],[25092])).
% 20.53/14.14 tff(25094,plain,
% 20.53/14.14 (~v1(constB30)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[23510, 25093])).
% 20.53/14.14 tff(25095,plain,
% 20.53/14.14 ($false),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[3811, 25094])).
% 20.53/14.14 tff(25096,plain,(~(constB30 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.14 tff(25097,assumption,(constB137 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.14 tff(25098,plain,
% 20.53/14.14 (v162(constB137) <=> v162(sK0_VarCurr)),
% 20.53/14.14 inference(monotonicity,[status(thm)],[25097])).
% 20.53/14.14 tff(25099,plain,
% 20.53/14.14 (v162(sK0_VarCurr) <=> v162(constB137)),
% 20.53/14.14 inference(symmetry,[status(thm)],[25098])).
% 20.53/14.14 tff(25100,plain,
% 20.53/14.14 (v162(constB137)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[22337, 25099])).
% 20.53/14.14 tff(25101,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB131, bitIndex2)) | (~v145(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB131, bitIndex2)) | (~v145(constB131)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25102,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB131, bitIndex2)) | (~v145(constB131)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25103,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB131, bitIndex2)) | (~v145(constB131))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25102, 25101])).
% 20.53/14.14 tff(25104,plain,
% 20.53/14.14 (~v145(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25103, 10327, 16188])).
% 20.53/14.14 tff(25105,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB131) | (~v144(constB131)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB131) | (~v144(constB131)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25106,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB131) | (~v144(constB131)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25107,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB131) | (~v144(constB131))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25106, 25105])).
% 20.53/14.14 tff(25108,plain,
% 20.53/14.14 (~v144(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25107, 22349, 25104])).
% 20.53/14.14 tff(25109,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB131) | (~v142(constB131)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB131) | (~v142(constB131)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25110,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB131) | (~v142(constB131)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25111,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB131) | (~v142(constB131))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25110, 25109])).
% 20.53/14.14 tff(25112,plain,
% 20.53/14.14 (~v142(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25111, 22360, 25108])).
% 20.53/14.14 tff(25113,assumption,(v18(constB132)), introduced(assumption)).
% 20.53/14.14 tff(25114,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB132))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25115,plain,
% 20.53/14.14 ($false),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25114, 2627, 25113])).
% 20.53/14.14 tff(25116,plain,(~v18(constB132)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.14 tff(25117,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25118,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25119,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25118, 25117])).
% 20.53/14.14 tff(25120,plain,
% 20.53/14.14 (v22(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25119, 2640, 16319])).
% 20.53/14.14 tff(25121,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB132)) | (~v22(constB132)) | v18(constB132))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB132)) | (~v22(constB132)) | v18(constB132))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25122,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB132)) | (~v22(constB132)) | v18(constB132))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25123,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB132)) | (~v22(constB132)) | v18(constB132)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25122, 25121])).
% 20.53/14.14 tff(25124,plain,
% 20.53/14.14 ((~v19(constB132)) | v18(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25123, 2654, 25120])).
% 20.53/14.14 tff(25125,plain,
% 20.53/14.14 (~v19(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25124, 25116])).
% 20.53/14.14 tff(25126,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25127,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25128,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25127, 25126])).
% 20.53/14.14 tff(25129,plain,
% 20.53/14.14 (v13(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25128, 2669, 25125])).
% 20.53/14.14 tff(25130,plain,
% 20.53/14.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25131,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25132,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25131, 25130])).
% 20.53/14.14 tff(25133,plain,
% 20.53/14.14 ((~v13(constB132)) | v9(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25132, 2686, 16269])).
% 20.53/14.14 tff(25134,plain,
% 20.53/14.14 (v9(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25133, 25129])).
% 20.53/14.14 tff(25135,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25136,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25137,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25136, 25135])).
% 20.53/14.14 tff(25138,plain,
% 20.53/14.14 ((~v9(constB131)) | v141(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25137, 22396, 16164])).
% 20.53/14.14 tff(25139,plain,
% 20.53/14.14 (v141(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25138, 25134])).
% 20.53/14.14 tff(25140,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB131) | (~v141(constB131)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB131) | (~v141(constB131)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25141,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB131) | (~v141(constB131)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25142,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB131) | (~v141(constB131))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 20.53/14.14 tff(25143,plain,
% 20.53/14.14 (v140(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25142, 22408, 25139])).
% 20.53/14.14 tff(25144,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB131)) | (~v140(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB131)) | (~v140(constB131)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25145,plain,
% 20.53/14.14 (((~v140(constB131)) | (~v138(constB131))) <=> ((~v138(constB131)) | (~v140(constB131)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25146,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB131)) | (~v138(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB131)) | (~v140(constB131))))),
% 20.53/14.14 inference(monotonicity,[status(thm)],[25145])).
% 20.53/14.14 tff(25147,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB131)) | (~v138(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB131)) | (~v140(constB131)))),
% 20.53/14.14 inference(transitivity,[status(thm)],[25146, 25144])).
% 20.53/14.14 tff(25148,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB131)) | (~v138(constB131)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25149,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB131)) | (~v140(constB131))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25148, 25147])).
% 20.53/14.14 tff(25150,plain,
% 20.53/14.14 (~v138(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25149, 22419, 25143])).
% 20.53/14.14 tff(25151,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB131) | v142(constB131) | (~v135(constB131)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB131) | v142(constB131) | (~v135(constB131)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25152,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB131) | v142(constB131) | (~v135(constB131)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25153,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB131) | v142(constB131) | (~v135(constB131))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25152, 25151])).
% 20.53/14.14 tff(25154,plain,
% 20.53/14.14 (v142(constB131) | (~v135(constB131))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25153, 22436, 25150])).
% 20.53/14.14 tff(25155,plain,
% 20.53/14.14 (~v135(constB131)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25154, 25112])).
% 20.53/14.14 tff(25156,plain,
% 20.53/14.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25157,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25158,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25157, 25156])).
% 20.53/14.14 tff(25159,plain,
% 20.53/14.14 (v135(constB131) | (~v137(constB132))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25158, 22451, 16269])).
% 20.53/14.14 tff(25160,plain,
% 20.53/14.14 (~v137(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25159, 25155])).
% 20.53/14.14 tff(25161,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB132) | (~v138(constB132)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB132) | (~v138(constB132)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25162,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB132) | (~v138(constB132)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25163,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB132) | (~v138(constB132))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25162, 25161])).
% 20.53/14.14 tff(25164,plain,
% 20.53/14.14 (~v138(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25163, 22463, 25160])).
% 20.53/14.14 tff(25165,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25166,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25167,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25166, 25165])).
% 20.53/14.14 tff(25168,plain,
% 20.53/14.14 (~v141(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25167, 22474, 16319])).
% 20.53/14.14 tff(25169,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB132) | (~v144(constB132)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB132) | (~v144(constB132)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25170,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB132) | (~v144(constB132)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25171,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB132) | (~v144(constB132))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25170, 25169])).
% 20.53/14.14 tff(25172,plain,
% 20.53/14.14 (~v144(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25171, 22485, 25168])).
% 20.53/14.14 tff(25173,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB132) | (~v142(constB132)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB132) | (~v142(constB132)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25174,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB132) | (~v142(constB132)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25175,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB132) | (~v142(constB132))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25174, 25173])).
% 20.53/14.14 tff(25176,plain,
% 20.53/14.14 (~v142(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25175, 22360, 25172])).
% 20.53/14.14 tff(25177,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB132) | v142(constB132) | (~v135(constB132)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB132) | v142(constB132) | (~v135(constB132)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25178,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB132) | v142(constB132) | (~v135(constB132)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25179,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB132) | v142(constB132) | (~v135(constB132))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25178, 25177])).
% 20.53/14.14 tff(25180,plain,
% 20.53/14.14 (v138(constB132) | (~v135(constB132))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25179, 22436, 25176])).
% 20.53/14.14 tff(25181,plain,
% 20.53/14.14 (~v135(constB132)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25180, 25164])).
% 20.53/14.14 tff(25182,plain,
% 20.53/14.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25183,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25184,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25183, 25182])).
% 20.53/14.14 tff(25185,plain,
% 20.53/14.14 (v135(constB132) | (~v137(constB133))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25184, 22451, 16347])).
% 20.53/14.14 tff(25186,plain,
% 20.53/14.14 (~v137(constB133)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25185, 25181])).
% 20.53/14.14 tff(25187,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB133) | (~v153(constB133)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB133) | (~v153(constB133)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25188,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB133) | (~v153(constB133)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25189,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB133) | (~v153(constB133))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25188, 25187])).
% 20.53/14.14 tff(25190,plain,
% 20.53/14.14 (~v153(constB133)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25189, 22510, 25186])).
% 20.53/14.14 tff(25191,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25192,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25193,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133)),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25192, 25191])).
% 20.53/14.14 tff(25194,plain,
% 20.53/14.14 ((~v9(constB133)) | v141(constB133)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25193, 22396, 16344])).
% 20.53/14.14 tff(25195,plain,
% 20.53/14.14 (v141(constB133)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25194, 16473])).
% 20.53/14.14 tff(25196,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB133) | (~v141(constB133)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB133) | (~v141(constB133)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25197,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB133) | (~v141(constB133)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25198,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB133) | (~v141(constB133))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25197, 25196])).
% 20.53/14.14 tff(25199,plain,
% 20.53/14.14 (v140(constB133)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25198, 22408, 25195])).
% 20.53/14.14 tff(25200,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB133)) | (~v155(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB133)) | (~v155(constB133)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25201,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB133)) | (~v155(constB133)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25202,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB133)) | (~v155(constB133))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25201, 25200])).
% 20.53/14.14 tff(25203,plain,
% 20.53/14.14 (~v155(constB133)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25202, 22552, 25199])).
% 20.53/14.14 tff(25204,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB133) | v155(constB133) | (~v150(constB133)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB133) | v155(constB133) | (~v150(constB133)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25205,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB133) | v155(constB133) | (~v150(constB133)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25206,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB133) | v155(constB133) | (~v150(constB133))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25205, 25204])).
% 20.53/14.14 tff(25207,plain,
% 20.53/14.14 (v153(constB133) | (~v150(constB133))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25206, 22566, 25203])).
% 20.53/14.14 tff(25208,plain,
% 20.53/14.14 (~v150(constB133)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25207, 25190])).
% 20.53/14.14 tff(25209,plain,
% 20.53/14.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25210,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25211,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25210, 25209])).
% 20.53/14.14 tff(25212,plain,
% 20.53/14.14 (v150(constB133) | (~v152(constB134))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25211, 22581, 16468])).
% 20.53/14.14 tff(25213,plain,
% 20.53/14.14 (~v152(constB134)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25212, 25208])).
% 20.53/14.14 tff(25214,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB134) | (~v155(constB134)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB134) | (~v155(constB134)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25215,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB134) | (~v155(constB134)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25216,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB134) | (~v155(constB134))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25215, 25214])).
% 20.53/14.14 tff(25217,plain,
% 20.53/14.14 (~v155(constB134)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25216, 22593, 25213])).
% 20.53/14.14 tff(25218,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25219,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25220,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25219, 25218])).
% 20.53/14.14 tff(25221,plain,
% 20.53/14.14 (~v141(constB134)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25220, 22474, 16452])).
% 20.53/14.14 tff(25222,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB134) | (~v154(constB134)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB134) | (~v154(constB134)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25223,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB134) | (~v154(constB134)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25224,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB134) | (~v154(constB134))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25223, 25222])).
% 20.53/14.14 tff(25225,plain,
% 20.53/14.14 (~v154(constB134)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25224, 22608, 25221])).
% 20.53/14.14 tff(25226,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB134) | (~v153(constB134)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB134) | (~v153(constB134)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25227,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB134) | (~v153(constB134)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25228,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB134) | (~v153(constB134))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25227, 25226])).
% 20.53/14.14 tff(25229,plain,
% 20.53/14.14 (~v153(constB134)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25228, 22619, 25225])).
% 20.53/14.14 tff(25230,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB134) | v155(constB134) | (~v150(constB134)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB134) | v155(constB134) | (~v150(constB134)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25231,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB134) | v155(constB134) | (~v150(constB134)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25232,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB134) | v155(constB134) | (~v150(constB134))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25231, 25230])).
% 20.53/14.14 tff(25233,plain,
% 20.53/14.14 (v155(constB134) | (~v150(constB134))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25232, 22566, 25229])).
% 20.53/14.14 tff(25234,plain,
% 20.53/14.14 (~v150(constB134)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25233, 25217])).
% 20.53/14.14 tff(25235,plain,
% 20.53/14.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25236,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25237,plain,
% 20.53/14.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25236, 25235])).
% 20.53/14.14 tff(25238,plain,
% 20.53/14.14 (v150(constB134) | (~v152(constB135))),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25237, 22581, 16636])).
% 20.53/14.14 tff(25239,plain,
% 20.53/14.14 (~v152(constB135)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25238, 25234])).
% 20.53/14.14 tff(25240,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB135) | (~v164(constB135)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB135) | (~v164(constB135)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25241,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB135) | (~v164(constB135)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25242,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB135) | (~v164(constB135))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25241, 25240])).
% 20.53/14.14 tff(25243,plain,
% 20.53/14.14 (~v164(constB135)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25242, 22640, 25239])).
% 20.53/14.14 tff(25244,plain,
% 20.53/14.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB129, bitIndex2)) | (~v145(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB129, bitIndex2)) | (~v145(constB129)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25245,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB129, bitIndex2)) | (~v145(constB129)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25246,plain,
% 20.53/14.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB129, bitIndex2)) | (~v145(constB129))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25245, 25244])).
% 20.53/14.14 tff(25247,plain,
% 20.53/14.14 (~v145(constB129)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25246, 10327, 16005])).
% 20.53/14.14 tff(25248,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB129) | (~v144(constB129)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB129) | (~v144(constB129)))),
% 20.53/14.14 inference(rewrite,[status(thm)],[])).
% 20.53/14.14 tff(25249,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB129) | (~v144(constB129)))),
% 20.53/14.14 inference(quant_inst,[status(thm)],[])).
% 20.53/14.14 tff(25250,plain,
% 20.53/14.14 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB129) | (~v144(constB129))),
% 20.53/14.14 inference(modus_ponens,[status(thm)],[25249, 25248])).
% 20.53/14.14 tff(25251,plain,
% 20.53/14.14 (~v144(constB129)),
% 20.53/14.14 inference(unit_resolution,[status(thm)],[25250, 22349, 25247])).
% 20.53/14.14 tff(25252,plain,
% 20.53/14.14 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB129) | (~v142(constB129)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25253,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB129) | (~v142(constB129)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25254,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB129) | (~v142(constB129))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25253, 25252])).
% 20.53/14.15 tff(25255,plain,
% 20.53/14.15 (~v142(constB129)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25254, 22360, 25251])).
% 20.53/14.15 tff(25256,assumption,(v18(constB130)), introduced(assumption)).
% 20.53/14.15 tff(25257,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB130))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25258,plain,
% 20.53/14.15 ($false),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25257, 2627, 25256])).
% 20.53/14.15 tff(25259,plain,(~v18(constB130)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.15 tff(25260,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25261,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25262,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25261, 25260])).
% 20.53/14.15 tff(25263,plain,
% 20.53/14.15 (v22(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25262, 2640, 16125])).
% 20.53/14.15 tff(25264,plain,
% 20.53/14.15 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB130)) | (~v22(constB130)) | v18(constB130))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB130)) | (~v22(constB130)) | v18(constB130))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25265,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB130)) | (~v22(constB130)) | v18(constB130))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25266,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB130)) | (~v22(constB130)) | v18(constB130)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25265, 25264])).
% 20.53/14.15 tff(25267,plain,
% 20.53/14.15 ((~v19(constB130)) | v18(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25266, 2654, 25263])).
% 20.53/14.15 tff(25268,plain,
% 20.53/14.15 (~v19(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25267, 25259])).
% 20.53/14.15 tff(25269,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25270,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25271,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25270, 25269])).
% 20.53/14.15 tff(25272,plain,
% 20.53/14.15 (v13(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25271, 2669, 25268])).
% 20.53/14.15 tff(25273,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25274,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25275,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25274, 25273])).
% 20.53/14.15 tff(25276,plain,
% 20.53/14.15 ((~v13(constB130)) | v9(constB129)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25275, 2686, 16105])).
% 20.53/14.15 tff(25277,plain,
% 20.53/14.15 (v9(constB129)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25276, 25272])).
% 20.53/14.15 tff(25278,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25279,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25280,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25279, 25278])).
% 20.53/14.15 tff(25281,plain,
% 20.53/14.15 ((~v9(constB129)) | v141(constB129)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25280, 22396, 15981])).
% 20.53/14.15 tff(25282,plain,
% 20.53/14.15 (v141(constB129)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25281, 25277])).
% 20.53/14.15 tff(25283,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB129) | (~v141(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB129) | (~v141(constB129)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25284,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB129) | (~v141(constB129)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25285,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB129) | (~v141(constB129))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25284, 25283])).
% 20.53/14.15 tff(25286,plain,
% 20.53/14.15 (v140(constB129)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25285, 22408, 25282])).
% 20.53/14.15 tff(25287,plain,
% 20.53/14.15 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB129)) | (~v138(constB129)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB129)) | (~v138(constB129)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25288,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB129)) | (~v138(constB129)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25289,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB129)) | (~v138(constB129))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25288, 25287])).
% 20.53/14.15 tff(25290,plain,
% 20.53/14.15 (~v138(constB129)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25289, 22419, 25286])).
% 20.53/14.15 tff(25291,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25292,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25293,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25292, 25291])).
% 20.53/14.15 tff(25294,plain,
% 20.53/14.15 (v142(constB129) | (~v135(constB129))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25293, 22436, 25290])).
% 20.53/14.15 tff(25295,plain,
% 20.53/14.15 (~v135(constB129)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25294, 25255])).
% 20.53/14.15 tff(25296,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25297,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25298,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25297, 25296])).
% 20.53/14.15 tff(25299,plain,
% 20.53/14.15 (v135(constB129) | (~v137(constB130))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25298, 22451, 16105])).
% 20.53/14.15 tff(25300,plain,
% 20.53/14.15 (~v137(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25299, 25295])).
% 20.53/14.15 tff(25301,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25302,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25303,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25302, 25301])).
% 20.53/14.15 tff(25304,plain,
% 20.53/14.15 (~v138(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25303, 22463, 25300])).
% 20.53/14.15 tff(25305,plain,
% 20.53/14.15 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25306,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25307,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25306, 25305])).
% 20.53/14.15 tff(25308,plain,
% 20.53/14.15 (~v141(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25307, 22474, 16125])).
% 20.53/14.15 tff(25309,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25310,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25311,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25310, 25309])).
% 20.53/14.15 tff(25312,plain,
% 20.53/14.15 (~v144(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25311, 22485, 25308])).
% 20.53/14.15 tff(25313,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25314,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25315,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25314, 25313])).
% 20.53/14.15 tff(25316,plain,
% 20.53/14.15 (~v142(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25315, 22360, 25312])).
% 20.53/14.15 tff(25317,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25318,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25319,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25318, 25317])).
% 20.53/14.15 tff(25320,plain,
% 20.53/14.15 (v138(constB130) | (~v135(constB130))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25319, 22436, 25316])).
% 20.53/14.15 tff(25321,plain,
% 20.53/14.15 (~v135(constB130)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25320, 25304])).
% 20.53/14.15 tff(25322,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25323,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25324,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25323, 25322])).
% 20.53/14.15 tff(25325,plain,
% 20.53/14.15 (v135(constB130) | (~v137(constB131))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25324, 22451, 16167])).
% 20.53/14.15 tff(25326,plain,
% 20.53/14.15 (~v137(constB131)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25325, 25321])).
% 20.53/14.15 tff(25327,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB131) | (~v153(constB131)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB131) | (~v153(constB131)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25328,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB131) | (~v153(constB131)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25329,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB131) | (~v153(constB131))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25328, 25327])).
% 20.53/14.15 tff(25330,plain,
% 20.53/14.15 (~v153(constB131)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25329, 22510, 25326])).
% 20.53/14.15 tff(25331,plain,
% 20.53/14.15 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB131)) | (~v155(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB131)) | (~v155(constB131)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25332,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB131)) | (~v155(constB131)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25333,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB131)) | (~v155(constB131))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25332, 25331])).
% 20.53/14.15 tff(25334,plain,
% 20.53/14.15 (~v155(constB131)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25333, 22552, 25143])).
% 20.53/14.15 tff(25335,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v155(constB131) | (~v150(constB131)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v155(constB131) | (~v150(constB131)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25336,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v155(constB131) | (~v150(constB131)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25337,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v155(constB131) | (~v150(constB131))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25336, 25335])).
% 20.53/14.15 tff(25338,plain,
% 20.53/14.15 (v153(constB131) | (~v150(constB131))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25337, 22566, 25334])).
% 20.53/14.15 tff(25339,plain,
% 20.53/14.15 (~v150(constB131)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25338, 25330])).
% 20.53/14.15 tff(25340,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25341,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25342,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25341, 25340])).
% 20.53/14.15 tff(25343,plain,
% 20.53/14.15 (v150(constB131) | (~v152(constB132))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25342, 22581, 16269])).
% 20.53/14.15 tff(25344,plain,
% 20.53/14.15 (~v152(constB132)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25343, 25339])).
% 20.53/14.15 tff(25345,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB132) | (~v155(constB132)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB132) | (~v155(constB132)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25346,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB132) | (~v155(constB132)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25347,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB132) | (~v155(constB132))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25346, 25345])).
% 20.53/14.15 tff(25348,plain,
% 20.53/14.15 (~v155(constB132)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25347, 22593, 25344])).
% 20.53/14.15 tff(25349,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB132) | (~v154(constB132)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB132) | (~v154(constB132)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25350,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB132) | (~v154(constB132)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25351,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB132) | (~v154(constB132))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25350, 25349])).
% 20.53/14.15 tff(25352,plain,
% 20.53/14.15 (~v154(constB132)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25351, 22608, 25168])).
% 20.53/14.15 tff(25353,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB132) | (~v153(constB132)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB132) | (~v153(constB132)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25354,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB132) | (~v153(constB132)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25355,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB132) | (~v153(constB132))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25354, 25353])).
% 20.53/14.15 tff(25356,plain,
% 20.53/14.15 (~v153(constB132)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25355, 22619, 25352])).
% 20.53/14.15 tff(25357,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v155(constB132) | (~v150(constB132)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v155(constB132) | (~v150(constB132)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25358,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v155(constB132) | (~v150(constB132)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25359,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v155(constB132) | (~v150(constB132))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25358, 25357])).
% 20.53/14.15 tff(25360,plain,
% 20.53/14.15 (v155(constB132) | (~v150(constB132))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25359, 22566, 25356])).
% 20.53/14.15 tff(25361,plain,
% 20.53/14.15 (~v150(constB132)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25360, 25348])).
% 20.53/14.15 tff(25362,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25363,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25364,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25363, 25362])).
% 20.53/14.15 tff(25365,plain,
% 20.53/14.15 (v150(constB132) | (~v152(constB133))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25364, 22581, 16347])).
% 20.53/14.15 tff(25366,plain,
% 20.53/14.15 (~v152(constB133)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25365, 25361])).
% 20.53/14.15 tff(25367,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25368,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25369,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25368, 25367])).
% 20.53/14.15 tff(25370,plain,
% 20.53/14.15 (~v164(constB133)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25369, 22640, 25366])).
% 20.53/14.15 tff(25371,plain,
% 20.53/14.15 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25372,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25373,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 20.53/14.15 tff(25374,plain,
% 20.53/14.15 (~v163(constB133)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25373, 22781, 25199])).
% 20.53/14.15 tff(25375,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB133)) | v164(constB133) | v163(constB133))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25376,plain,
% 20.53/14.15 ((v164(constB133) | v163(constB133) | (~v160(constB133))) <=> ((~v160(constB133)) | v164(constB133) | v163(constB133))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25377,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB133)) | v164(constB133) | v163(constB133)))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25376])).
% 20.53/14.15 tff(25378,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133))),
% 20.53/14.15 inference(transitivity,[status(thm)],[25377, 25375])).
% 20.53/14.15 tff(25379,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25380,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25379, 25378])).
% 20.53/14.15 tff(25381,plain,
% 20.53/14.15 ((~v160(constB133)) | v164(constB133)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25380, 22795, 25374])).
% 20.53/14.15 tff(25382,plain,
% 20.53/14.15 (~v160(constB133)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25381, 25370])).
% 20.53/14.15 tff(25383,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25384,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25385,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25384, 25383])).
% 20.53/14.15 tff(25386,plain,
% 20.53/14.15 (v160(constB133) | (~v162(constB134))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25385, 22813, 16468])).
% 20.53/14.15 tff(25387,plain,
% 20.53/14.15 (~v162(constB134)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25386, 25382])).
% 20.53/14.15 tff(25388,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25389,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25390,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 20.53/14.15 tff(25391,plain,
% 20.53/14.15 (~v163(constB134)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25390, 22825, 25387])).
% 20.53/14.15 tff(25392,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB134) | (~v164(constB134)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB134) | (~v164(constB134)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25393,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB134) | (~v164(constB134)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25394,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB134) | (~v164(constB134))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25393, 25392])).
% 20.53/14.15 tff(25395,plain,
% 20.53/14.15 (~v164(constB134)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25394, 22836, 25225])).
% 20.53/14.15 tff(25396,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB134)) | v164(constB134) | v163(constB134))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25397,plain,
% 20.53/14.15 ((v164(constB134) | v163(constB134) | (~v160(constB134))) <=> ((~v160(constB134)) | v164(constB134) | v163(constB134))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25398,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB134)) | v164(constB134) | v163(constB134)))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25397])).
% 20.53/14.15 tff(25399,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134))),
% 20.53/14.15 inference(transitivity,[status(thm)],[25398, 25396])).
% 20.53/14.15 tff(25400,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25401,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25400, 25399])).
% 20.53/14.15 tff(25402,plain,
% 20.53/14.15 ((~v160(constB134)) | v163(constB134)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25401, 22795, 25395])).
% 20.53/14.15 tff(25403,plain,
% 20.53/14.15 (~v160(constB134)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25402, 25391])).
% 20.53/14.15 tff(25404,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25405,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25406,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25405, 25404])).
% 20.53/14.15 tff(25407,plain,
% 20.53/14.15 (v160(constB134) | (~v162(constB135))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25406, 22813, 16636])).
% 20.53/14.15 tff(25408,plain,
% 20.53/14.15 (~v162(constB135)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25407, 25403])).
% 20.53/14.15 tff(25409,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB135) | (~v163(constB135)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB135) | (~v163(constB135)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25410,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB135) | (~v163(constB135)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25411,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB135) | (~v163(constB135))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25410, 25409])).
% 20.53/14.15 tff(25412,plain,
% 20.53/14.15 (~v163(constB135)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25411, 22825, 25408])).
% 20.53/14.15 tff(25413,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB135)) | v164(constB135) | v163(constB135))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB135)) | v164(constB135) | v163(constB135))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25414,plain,
% 20.53/14.15 ((v164(constB135) | v163(constB135) | (~v160(constB135))) <=> ((~v160(constB135)) | v164(constB135) | v163(constB135))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25415,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB135) | v163(constB135) | (~v160(constB135)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB135)) | v164(constB135) | v163(constB135)))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25414])).
% 20.53/14.15 tff(25416,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB135) | v163(constB135) | (~v160(constB135)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB135)) | v164(constB135) | v163(constB135))),
% 20.53/14.15 inference(transitivity,[status(thm)],[25415, 25413])).
% 20.53/14.15 tff(25417,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB135) | v163(constB135) | (~v160(constB135)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25418,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB135)) | v164(constB135) | v163(constB135)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25417, 25416])).
% 20.53/14.15 tff(25419,plain,
% 20.53/14.15 ((~v160(constB135)) | v164(constB135)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25418, 22795, 25412])).
% 20.53/14.15 tff(25420,plain,
% 20.53/14.15 (~v160(constB135)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25419, 25243])).
% 20.53/14.15 tff(25421,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25422,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25423,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 20.53/14.15 tff(25424,plain,
% 20.53/14.15 (v160(constB135) | (~v162(constB136))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25423, 22813, 16768])).
% 20.53/14.15 tff(25425,plain,
% 20.53/14.15 (~v162(constB136)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25424, 25420])).
% 20.53/14.15 tff(25426,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB136) | (~v163(constB136)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB136) | (~v163(constB136)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25427,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB136) | (~v163(constB136)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25428,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB136) | (~v163(constB136))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25427, 25426])).
% 20.53/14.15 tff(25429,plain,
% 20.53/14.15 (~v163(constB136)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25428, 22825, 25425])).
% 20.53/14.15 tff(25430,plain,
% 20.53/14.15 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB136)) | (~v141(constB136)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB136)) | (~v141(constB136)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25431,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB136)) | (~v141(constB136)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25432,plain,
% 20.53/14.15 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB136)) | (~v141(constB136))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25431, 25430])).
% 20.53/14.15 tff(25433,plain,
% 20.53/14.15 (~v141(constB136)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25432, 22474, 16788])).
% 20.53/14.15 tff(25434,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB136) | (~v154(constB136)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB136) | (~v154(constB136)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25435,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB136) | (~v154(constB136)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25436,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB136) | (~v154(constB136))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 20.53/14.15 tff(25437,plain,
% 20.53/14.15 (~v154(constB136)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25436, 22608, 25433])).
% 20.53/14.15 tff(25438,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB136) | (~v164(constB136)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB136) | (~v164(constB136)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25439,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB136) | (~v164(constB136)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25440,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB136) | (~v164(constB136))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25439, 25438])).
% 20.53/14.15 tff(25441,plain,
% 20.53/14.15 (~v164(constB136)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25440, 22836, 25437])).
% 20.53/14.15 tff(25442,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB136)) | v164(constB136) | v163(constB136))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB136)) | v164(constB136) | v163(constB136))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25443,plain,
% 20.53/14.15 ((v164(constB136) | v163(constB136) | (~v160(constB136))) <=> ((~v160(constB136)) | v164(constB136) | v163(constB136))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25444,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB136) | v163(constB136) | (~v160(constB136)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB136)) | v164(constB136) | v163(constB136)))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25443])).
% 20.53/14.15 tff(25445,plain,
% 20.53/14.15 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB136) | v163(constB136) | (~v160(constB136)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB136)) | v164(constB136) | v163(constB136))),
% 20.53/14.15 inference(transitivity,[status(thm)],[25444, 25442])).
% 20.53/14.15 tff(25446,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB136) | v163(constB136) | (~v160(constB136)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25447,plain,
% 20.53/14.15 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB136)) | v164(constB136) | v163(constB136)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25446, 25445])).
% 20.53/14.15 tff(25448,plain,
% 20.53/14.15 ((~v160(constB136)) | v163(constB136)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25447, 22795, 25441])).
% 20.53/14.15 tff(25449,plain,
% 20.53/14.15 (~v160(constB136)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25448, 25429])).
% 20.53/14.15 tff(25450,plain,
% 20.53/14.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))),
% 20.53/14.15 inference(rewrite,[status(thm)],[])).
% 20.53/14.15 tff(25451,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))),
% 20.53/14.15 inference(quant_inst,[status(thm)],[])).
% 20.53/14.15 tff(25452,plain,
% 20.53/14.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137))),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 20.53/14.15 tff(25453,plain,
% 20.53/14.15 (v160(constB136) | (~v162(constB137))),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25452, 22813, 16833])).
% 20.53/14.15 tff(25454,plain,
% 20.53/14.15 (~v162(constB137)),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25453, 25449])).
% 20.53/14.15 tff(25455,plain,
% 20.53/14.15 ($false),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[25454, 25100])).
% 20.53/14.15 tff(25456,plain,(~(constB137 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.15 tff(25457,assumption,(constB50 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.15 tff(25458,plain,
% 20.53/14.15 (v1(constB50) <=> v1(sK0_VarCurr)),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25457])).
% 20.53/14.15 tff(25459,plain,
% 20.53/14.15 (v1(sK0_VarCurr) <=> v1(constB50)),
% 20.53/14.15 inference(symmetry,[status(thm)],[25458])).
% 20.53/14.15 tff(25460,plain,
% 20.53/14.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB50))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25459])).
% 20.53/14.15 tff(25461,plain,
% 20.53/14.15 (~v1(constB50)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[23510, 25460])).
% 20.53/14.15 tff(25462,plain,
% 20.53/14.15 ($false),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[5872, 25461])).
% 20.53/14.15 tff(25463,plain,(~(constB50 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.15 tff(25464,assumption,(constB14 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.15 tff(25465,plain,
% 20.53/14.15 (v1(constB14) <=> v1(sK0_VarCurr)),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25464])).
% 20.53/14.15 tff(25466,plain,
% 20.53/14.15 (v1(sK0_VarCurr) <=> v1(constB14)),
% 20.53/14.15 inference(symmetry,[status(thm)],[25465])).
% 20.53/14.15 tff(25467,plain,
% 20.53/14.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB14))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25466])).
% 20.53/14.15 tff(25468,plain,
% 20.53/14.15 (~v1(constB14)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[23510, 25467])).
% 20.53/14.15 tff(25469,plain,
% 20.53/14.15 ($false),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[1944, 25468])).
% 20.53/14.15 tff(25470,plain,(~(constB14 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.15 tff(25471,assumption,(constB170 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.15 tff(25472,plain,
% 20.53/14.15 (v1(constB170) <=> v1(sK0_VarCurr)),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25471])).
% 20.53/14.15 tff(25473,plain,
% 20.53/14.15 (v1(sK0_VarCurr) <=> v1(constB170)),
% 20.53/14.15 inference(symmetry,[status(thm)],[25472])).
% 20.53/14.15 tff(25474,plain,
% 20.53/14.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB170))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25473])).
% 20.53/14.15 tff(25475,plain,
% 20.53/14.15 (~v1(constB170)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[23510, 25474])).
% 20.53/14.15 tff(25476,plain,
% 20.53/14.15 ($false),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[20382, 25475])).
% 20.53/14.15 tff(25477,plain,(~(constB170 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.15 tff(25478,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.15 tff(25479,plain,
% 20.53/14.15 (v1(constB68) <=> v1(sK0_VarCurr)),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25478])).
% 20.53/14.15 tff(25480,plain,
% 20.53/14.15 (v1(sK0_VarCurr) <=> v1(constB68)),
% 20.53/14.15 inference(symmetry,[status(thm)],[25479])).
% 20.53/14.15 tff(25481,plain,
% 20.53/14.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25480])).
% 20.53/14.15 tff(25482,plain,
% 20.53/14.15 (~v1(constB68)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[23510, 25481])).
% 20.53/14.15 tff(25483,plain,
% 20.53/14.15 ($false),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[7627, 25482])).
% 20.53/14.15 tff(25484,plain,(~(constB68 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.15 tff(25485,assumption,(constB44 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.15 tff(25486,plain,
% 20.53/14.15 (v1(constB44) <=> v1(sK0_VarCurr)),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25485])).
% 20.53/14.15 tff(25487,plain,
% 20.53/14.15 (v1(sK0_VarCurr) <=> v1(constB44)),
% 20.53/14.15 inference(symmetry,[status(thm)],[25486])).
% 20.53/14.15 tff(25488,plain,
% 20.53/14.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB44))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25487])).
% 20.53/14.15 tff(25489,plain,
% 20.53/14.15 (~v1(constB44)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[23510, 25488])).
% 20.53/14.15 tff(25490,plain,
% 20.53/14.15 ($false),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[5291, 25489])).
% 20.53/14.15 tff(25491,plain,(~(constB44 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.15 tff(25492,assumption,(constB146 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.15 tff(25493,plain,
% 20.53/14.15 (v1(constB146) <=> v1(sK0_VarCurr)),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25492])).
% 20.53/14.15 tff(25494,plain,
% 20.53/14.15 (v1(sK0_VarCurr) <=> v1(constB146)),
% 20.53/14.15 inference(symmetry,[status(thm)],[25493])).
% 20.53/14.15 tff(25495,plain,
% 20.53/14.15 ((~v1(sK0_VarCurr)) <=> (~v1(constB146))),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25494])).
% 20.53/14.15 tff(25496,plain,
% 20.53/14.15 (~v1(constB146)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[23510, 25495])).
% 20.53/14.15 tff(25497,plain,
% 20.53/14.15 ($false),
% 20.53/14.15 inference(unit_resolution,[status(thm)],[17848, 25496])).
% 20.53/14.15 tff(25498,plain,(~(constB146 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.15 tff(25499,assumption,(constB167 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.15 tff(25500,plain,
% 20.53/14.15 (v162(constB167) <=> v162(sK0_VarCurr)),
% 20.53/14.15 inference(monotonicity,[status(thm)],[25499])).
% 20.53/14.15 tff(25501,plain,
% 20.53/14.15 (v162(sK0_VarCurr) <=> v162(constB167)),
% 20.53/14.15 inference(symmetry,[status(thm)],[25500])).
% 20.53/14.15 tff(25502,plain,
% 20.53/14.15 (v162(constB167)),
% 20.53/14.15 inference(modus_ponens,[status(thm)],[22337, 25501])).
% 20.53/14.16 tff(25503,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB161, bitIndex1)) | (~v145(constB161)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB161, bitIndex1)) | (~v145(constB161)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25504,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB161, bitIndex1)) | (~v145(constB161)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25505,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB161, bitIndex1)) | (~v145(constB161))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25504, 25503])).
% 20.53/14.16 tff(25506,plain,
% 20.53/14.16 (~v145(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25505, 2012, 19465])).
% 20.53/14.16 tff(25507,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB161) | (~v144(constB161)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB161) | (~v144(constB161)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25508,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB161) | (~v144(constB161)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25509,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB161) | (~v144(constB161))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25508, 25507])).
% 20.53/14.16 tff(25510,plain,
% 20.53/14.16 (~v144(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25509, 22349, 25506])).
% 20.53/14.16 tff(25511,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB161) | (~v142(constB161)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB161) | (~v142(constB161)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25512,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB161) | (~v142(constB161)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25513,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB161) | (~v142(constB161))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25512, 25511])).
% 20.53/14.16 tff(25514,plain,
% 20.53/14.16 (~v142(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25513, 22360, 25510])).
% 20.53/14.16 tff(25515,assumption,(v18(constB162)), introduced(assumption)).
% 20.53/14.16 tff(25516,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB162))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25517,plain,
% 20.53/14.16 ($false),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25516, 2627, 25515])).
% 20.53/14.16 tff(25518,plain,(~v18(constB162)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.16 tff(25519,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25520,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25521,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25520, 25519])).
% 20.53/14.16 tff(25522,plain,
% 20.53/14.16 (v22(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25521, 2640, 19562])).
% 20.53/14.16 tff(25523,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB162)) | (~v22(constB162)) | v18(constB162))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB162)) | (~v22(constB162)) | v18(constB162))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25524,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB162)) | (~v22(constB162)) | v18(constB162))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25525,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB162)) | (~v22(constB162)) | v18(constB162)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25524, 25523])).
% 20.53/14.16 tff(25526,plain,
% 20.53/14.16 ((~v19(constB162)) | v18(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25525, 2654, 25522])).
% 20.53/14.16 tff(25527,plain,
% 20.53/14.16 (~v19(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25526, 25518])).
% 20.53/14.16 tff(25528,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25529,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25530,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25529, 25528])).
% 20.53/14.16 tff(25531,plain,
% 20.53/14.16 (v13(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25530, 2669, 25527])).
% 20.53/14.16 tff(25532,plain,
% 20.53/14.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25533,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25534,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB161, constB162)) | (~v13(constB162)) | v9(constB161)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25533, 25532])).
% 20.53/14.16 tff(25535,plain,
% 20.53/14.16 ((~v13(constB162)) | v9(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25534, 2686, 19542])).
% 20.53/14.16 tff(25536,plain,
% 20.53/14.16 (v9(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25535, 25531])).
% 20.53/14.16 tff(25537,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v141(constB161))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB161) | (~v9(constB161)) | v141(constB161))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25538,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v141(constB161))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25539,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB161) | (~v9(constB161)) | v141(constB161)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25538, 25537])).
% 20.53/14.16 tff(25540,plain,
% 20.53/14.16 ((~v9(constB161)) | v141(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25539, 22396, 19410])).
% 20.53/14.16 tff(25541,plain,
% 20.53/14.16 (v141(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25540, 25536])).
% 20.53/14.16 tff(25542,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB161) | (~v141(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB161) | (~v141(constB161)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25543,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB161) | (~v141(constB161)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25544,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB161) | (~v141(constB161))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25543, 25542])).
% 20.53/14.16 tff(25545,plain,
% 20.53/14.16 (v140(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25544, 22408, 25541])).
% 20.53/14.16 tff(25546,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB161)) | (~v140(constB161)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB161)) | (~v140(constB161)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25547,plain,
% 20.53/14.16 (((~v140(constB161)) | (~v138(constB161))) <=> ((~v138(constB161)) | (~v140(constB161)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25548,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB161)) | (~v138(constB161)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB161)) | (~v140(constB161))))),
% 20.53/14.16 inference(monotonicity,[status(thm)],[25547])).
% 20.53/14.16 tff(25549,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB161)) | (~v138(constB161)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB161)) | (~v140(constB161)))),
% 20.53/14.16 inference(transitivity,[status(thm)],[25548, 25546])).
% 20.53/14.16 tff(25550,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB161)) | (~v138(constB161)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25551,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB161)) | (~v140(constB161))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25550, 25549])).
% 20.53/14.16 tff(25552,plain,
% 20.53/14.16 (~v138(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25551, 22419, 25545])).
% 20.53/14.16 tff(25553,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB161) | v142(constB161) | (~v135(constB161)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB161) | v142(constB161) | (~v135(constB161)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25554,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB161) | v142(constB161) | (~v135(constB161)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25555,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB161) | v142(constB161) | (~v135(constB161))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25554, 25553])).
% 20.53/14.16 tff(25556,plain,
% 20.53/14.16 (v142(constB161) | (~v135(constB161))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25555, 22436, 25552])).
% 20.53/14.16 tff(25557,plain,
% 20.53/14.16 (~v135(constB161)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25556, 25514])).
% 20.53/14.16 tff(25558,plain,
% 20.53/14.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB161, constB162)) | v135(constB161) | (~v137(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB161, constB162)) | v135(constB161) | (~v137(constB162)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25559,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB161, constB162)) | v135(constB161) | (~v137(constB162)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25560,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB161, constB162)) | v135(constB161) | (~v137(constB162))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 20.53/14.16 tff(25561,plain,
% 20.53/14.16 (v135(constB161) | (~v137(constB162))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25560, 22451, 19542])).
% 20.53/14.16 tff(25562,plain,
% 20.53/14.16 (~v137(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25561, 25557])).
% 20.53/14.16 tff(25563,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB162) | (~v138(constB162)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB162) | (~v138(constB162)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25564,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB162) | (~v138(constB162)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25565,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB162) | (~v138(constB162))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25564, 25563])).
% 20.53/14.16 tff(25566,plain,
% 20.53/14.16 (~v138(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25565, 22463, 25562])).
% 20.53/14.16 tff(25567,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB162)) | (~v141(constB162)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB162)) | (~v141(constB162)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25568,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB162)) | (~v141(constB162)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25569,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB162)) | (~v141(constB162))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25568, 25567])).
% 20.53/14.16 tff(25570,plain,
% 20.53/14.16 (~v141(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25569, 22474, 19562])).
% 20.53/14.16 tff(25571,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB162) | (~v144(constB162)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB162) | (~v144(constB162)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25572,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB162) | (~v144(constB162)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25573,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB162) | (~v144(constB162))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25572, 25571])).
% 20.53/14.16 tff(25574,plain,
% 20.53/14.16 (~v144(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25573, 22485, 25570])).
% 20.53/14.16 tff(25575,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB162) | (~v142(constB162)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB162) | (~v142(constB162)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25576,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB162) | (~v142(constB162)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25577,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB162) | (~v142(constB162))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25576, 25575])).
% 20.53/14.16 tff(25578,plain,
% 20.53/14.16 (~v142(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25577, 22360, 25574])).
% 20.53/14.16 tff(25579,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB162) | v142(constB162) | (~v135(constB162)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB162) | v142(constB162) | (~v135(constB162)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25580,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB162) | v142(constB162) | (~v135(constB162)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25581,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB162) | v142(constB162) | (~v135(constB162))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25580, 25579])).
% 20.53/14.16 tff(25582,plain,
% 20.53/14.16 (v138(constB162) | (~v135(constB162))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25581, 22436, 25578])).
% 20.53/14.16 tff(25583,plain,
% 20.53/14.16 (~v135(constB162)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25582, 25566])).
% 20.53/14.16 tff(25584,plain,
% 20.53/14.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB162, constB163)) | v135(constB162) | (~v137(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB162, constB163)) | v135(constB162) | (~v137(constB163)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25585,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB162, constB163)) | v135(constB162) | (~v137(constB163)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25586,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB162, constB163)) | v135(constB162) | (~v137(constB163))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25585, 25584])).
% 20.53/14.16 tff(25587,plain,
% 20.53/14.16 (v135(constB162) | (~v137(constB163))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25586, 22451, 19607])).
% 20.53/14.16 tff(25588,plain,
% 20.53/14.16 (~v137(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25587, 25583])).
% 20.53/14.16 tff(25589,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB163) | (~v153(constB163)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB163) | (~v153(constB163)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25590,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB163) | (~v153(constB163)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25591,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB163) | (~v153(constB163))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25590, 25589])).
% 20.53/14.16 tff(25592,plain,
% 20.53/14.16 (~v153(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25591, 22510, 25588])).
% 20.53/14.16 tff(25593,assumption,(v18(constB164)), introduced(assumption)).
% 20.53/14.16 tff(25594,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB164))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25595,plain,
% 20.53/14.16 ($false),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25594, 2627, 25593])).
% 20.53/14.16 tff(25596,plain,(~v18(constB164)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.16 tff(25597,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25598,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25599,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25598, 25597])).
% 20.53/14.16 tff(25600,plain,
% 20.53/14.16 (v22(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25599, 2640, 19822])).
% 20.53/14.16 tff(25601,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB164)) | (~v22(constB164)) | v18(constB164))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB164)) | (~v22(constB164)) | v18(constB164))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25602,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB164)) | (~v22(constB164)) | v18(constB164))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25603,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB164)) | (~v22(constB164)) | v18(constB164)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25602, 25601])).
% 20.53/14.16 tff(25604,plain,
% 20.53/14.16 ((~v19(constB164)) | v18(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25603, 2654, 25600])).
% 20.53/14.16 tff(25605,plain,
% 20.53/14.16 (~v19(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25604, 25596])).
% 20.53/14.16 tff(25606,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25607,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25608,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25607, 25606])).
% 20.53/14.16 tff(25609,plain,
% 20.53/14.16 (v13(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25608, 2669, 25605])).
% 20.53/14.16 tff(25610,plain,
% 20.53/14.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25611,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25612,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB163, constB164)) | (~v13(constB164)) | v9(constB163)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25611, 25610])).
% 20.53/14.16 tff(25613,plain,
% 20.53/14.16 ((~v13(constB164)) | v9(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25612, 2686, 19710])).
% 20.53/14.16 tff(25614,plain,
% 20.53/14.16 (v9(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25613, 25609])).
% 20.53/14.16 tff(25615,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v141(constB163))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB163) | (~v9(constB163)) | v141(constB163))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25616,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v141(constB163))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25617,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB163) | (~v9(constB163)) | v141(constB163)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25616, 25615])).
% 20.53/14.16 tff(25618,plain,
% 20.53/14.16 ((~v9(constB163)) | v141(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25617, 22396, 19604])).
% 20.53/14.16 tff(25619,plain,
% 20.53/14.16 (v141(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25618, 25614])).
% 20.53/14.16 tff(25620,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB163) | (~v141(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB163) | (~v141(constB163)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25621,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB163) | (~v141(constB163)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25622,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB163) | (~v141(constB163))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 20.53/14.16 tff(25623,plain,
% 20.53/14.16 (v140(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25622, 22408, 25619])).
% 20.53/14.16 tff(25624,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB163)) | (~v155(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB163)) | (~v155(constB163)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25625,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB163)) | (~v155(constB163)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25626,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB163)) | (~v155(constB163))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25625, 25624])).
% 20.53/14.16 tff(25627,plain,
% 20.53/14.16 (~v155(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25626, 22552, 25623])).
% 20.53/14.16 tff(25628,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB163) | v155(constB163) | (~v150(constB163)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB163) | v155(constB163) | (~v150(constB163)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25629,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB163) | v155(constB163) | (~v150(constB163)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25630,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB163) | v155(constB163) | (~v150(constB163))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25629, 25628])).
% 20.53/14.16 tff(25631,plain,
% 20.53/14.16 (v153(constB163) | (~v150(constB163))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25630, 22566, 25627])).
% 20.53/14.16 tff(25632,plain,
% 20.53/14.16 (~v150(constB163)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25631, 25592])).
% 20.53/14.16 tff(25633,plain,
% 20.53/14.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB163, constB164)) | v150(constB163) | (~v152(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB163, constB164)) | v150(constB163) | (~v152(constB164)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25634,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB163, constB164)) | v150(constB163) | (~v152(constB164)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25635,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB163, constB164)) | v150(constB163) | (~v152(constB164))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25634, 25633])).
% 20.53/14.16 tff(25636,plain,
% 20.53/14.16 (v150(constB163) | (~v152(constB164))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25635, 22581, 19710])).
% 20.53/14.16 tff(25637,plain,
% 20.53/14.16 (~v152(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25636, 25632])).
% 20.53/14.16 tff(25638,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB164) | (~v155(constB164)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB164) | (~v155(constB164)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25639,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB164) | (~v155(constB164)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25640,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB164) | (~v155(constB164))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 20.53/14.16 tff(25641,plain,
% 20.53/14.16 (~v155(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25640, 22593, 25637])).
% 20.53/14.16 tff(25642,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB164)) | (~v141(constB164)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB164)) | (~v141(constB164)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25643,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB164)) | (~v141(constB164)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25644,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB164)) | (~v141(constB164))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25643, 25642])).
% 20.53/14.16 tff(25645,plain,
% 20.53/14.16 (~v141(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25644, 22474, 19822])).
% 20.53/14.16 tff(25646,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB164) | (~v154(constB164)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB164) | (~v154(constB164)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25647,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB164) | (~v154(constB164)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25648,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB164) | (~v154(constB164))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25647, 25646])).
% 20.53/14.16 tff(25649,plain,
% 20.53/14.16 (~v154(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25648, 22608, 25645])).
% 20.53/14.16 tff(25650,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB164) | (~v153(constB164)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB164) | (~v153(constB164)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25651,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB164) | (~v153(constB164)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25652,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB164) | (~v153(constB164))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25651, 25650])).
% 20.53/14.16 tff(25653,plain,
% 20.53/14.16 (~v153(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25652, 22619, 25649])).
% 20.53/14.16 tff(25654,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB164) | v155(constB164) | (~v150(constB164)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB164) | v155(constB164) | (~v150(constB164)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25655,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB164) | v155(constB164) | (~v150(constB164)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25656,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB164) | v155(constB164) | (~v150(constB164))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25655, 25654])).
% 20.53/14.16 tff(25657,plain,
% 20.53/14.16 (v155(constB164) | (~v150(constB164))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25656, 22566, 25653])).
% 20.53/14.16 tff(25658,plain,
% 20.53/14.16 (~v150(constB164)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25657, 25641])).
% 20.53/14.16 tff(25659,plain,
% 20.53/14.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB164, constB165)) | v150(constB164) | (~v152(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB164, constB165)) | v150(constB164) | (~v152(constB165)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25660,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB164, constB165)) | v150(constB164) | (~v152(constB165)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25661,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB164, constB165)) | v150(constB164) | (~v152(constB165))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25660, 25659])).
% 20.53/14.16 tff(25662,plain,
% 20.53/14.16 (v150(constB164) | (~v152(constB165))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25661, 22581, 19849])).
% 20.53/14.16 tff(25663,plain,
% 20.53/14.16 (~v152(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25662, 25658])).
% 20.53/14.16 tff(25664,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB165) | (~v164(constB165)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB165) | (~v164(constB165)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25665,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB165) | (~v164(constB165)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25666,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB165) | (~v164(constB165))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25665, 25664])).
% 20.53/14.16 tff(25667,plain,
% 20.53/14.16 (~v164(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25666, 22640, 25663])).
% 20.53/14.16 tff(25668,assumption,(v18(constB166)), introduced(assumption)).
% 20.53/14.16 tff(25669,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB166))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25670,plain,
% 20.53/14.16 ($false),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25669, 2627, 25668])).
% 20.53/14.16 tff(25671,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.16 tff(25672,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25673,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25674,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25673, 25672])).
% 20.53/14.16 tff(25675,plain,
% 20.53/14.16 (v22(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25674, 2640, 19979])).
% 20.53/14.16 tff(25676,plain,
% 20.53/14.16 (((~![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))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25677,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB166)) | (~v22(constB166)) | v18(constB166))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25678,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB166)) | (~v22(constB166)) | v18(constB166)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25677, 25676])).
% 20.53/14.16 tff(25679,plain,
% 20.53/14.16 ((~v19(constB166)) | v18(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25678, 2654, 25675])).
% 20.53/14.16 tff(25680,plain,
% 20.53/14.16 (~v19(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25679, 25671])).
% 20.53/14.16 tff(25681,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25682,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25683,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25682, 25681])).
% 20.53/14.16 tff(25684,plain,
% 20.53/14.16 (v13(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25683, 2669, 25680])).
% 20.53/14.16 tff(25685,plain,
% 20.53/14.16 (((~![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))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25686,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25687,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB165, constB166)) | (~v13(constB166)) | v9(constB165)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25686, 25685])).
% 20.53/14.16 tff(25688,plain,
% 20.53/14.16 ((~v13(constB166)) | v9(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25687, 2686, 19959])).
% 20.53/14.16 tff(25689,plain,
% 20.53/14.16 (v9(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25688, 25684])).
% 20.53/14.16 tff(25690,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v141(constB165))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB165) | (~v9(constB165)) | v141(constB165))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25691,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v141(constB165))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25692,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB165) | (~v9(constB165)) | v141(constB165)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25691, 25690])).
% 20.53/14.16 tff(25693,plain,
% 20.53/14.16 ((~v9(constB165)) | v141(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25692, 22396, 19846])).
% 20.53/14.16 tff(25694,plain,
% 20.53/14.16 (v141(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25693, 25689])).
% 20.53/14.16 tff(25695,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB165) | (~v141(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB165) | (~v141(constB165)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25696,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB165) | (~v141(constB165)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25697,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB165) | (~v141(constB165))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25696, 25695])).
% 20.53/14.16 tff(25698,plain,
% 20.53/14.16 (v140(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25697, 22408, 25694])).
% 20.53/14.16 tff(25699,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB165)) | (~v163(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB165)) | (~v163(constB165)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25700,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB165)) | (~v163(constB165)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25701,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB165)) | (~v163(constB165))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25700, 25699])).
% 20.53/14.16 tff(25702,plain,
% 20.53/14.16 (~v163(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25701, 22781, 25698])).
% 20.53/14.16 tff(25703,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB165)) | v163(constB165) | v164(constB165))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB165)) | v163(constB165) | v164(constB165))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25704,plain,
% 20.53/14.16 ((v164(constB165) | v163(constB165) | (~v160(constB165))) <=> ((~v160(constB165)) | v163(constB165) | v164(constB165))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25705,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB165) | v163(constB165) | (~v160(constB165)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB165)) | v163(constB165) | v164(constB165)))),
% 20.53/14.16 inference(monotonicity,[status(thm)],[25704])).
% 20.53/14.16 tff(25706,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB165) | v163(constB165) | (~v160(constB165)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB165)) | v163(constB165) | v164(constB165))),
% 20.53/14.16 inference(transitivity,[status(thm)],[25705, 25703])).
% 20.53/14.16 tff(25707,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB165) | v163(constB165) | (~v160(constB165)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25708,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB165)) | v163(constB165) | v164(constB165)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25707, 25706])).
% 20.53/14.16 tff(25709,plain,
% 20.53/14.16 ((~v160(constB165)) | v164(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25708, 22795, 25702])).
% 20.53/14.16 tff(25710,plain,
% 20.53/14.16 (~v160(constB165)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25709, 25667])).
% 20.53/14.16 tff(25711,plain,
% 20.53/14.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB165, constB166)) | v160(constB165) | (~v162(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB165, constB166)) | v160(constB165) | (~v162(constB166)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25712,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB165, constB166)) | v160(constB165) | (~v162(constB166)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25713,plain,
% 20.53/14.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB165, constB166)) | v160(constB165) | (~v162(constB166))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25712, 25711])).
% 20.53/14.16 tff(25714,plain,
% 20.53/14.16 (v160(constB165) | (~v162(constB166))),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25713, 22813, 19959])).
% 20.53/14.16 tff(25715,plain,
% 20.53/14.16 (~v162(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25714, 25710])).
% 20.53/14.16 tff(25716,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB166) | (~v163(constB166)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB166) | (~v163(constB166)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25717,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB166) | (~v163(constB166)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25718,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB166) | (~v163(constB166))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 20.53/14.16 tff(25719,plain,
% 20.53/14.16 (~v163(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25718, 22825, 25715])).
% 20.53/14.16 tff(25720,plain,
% 20.53/14.16 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB166)) | (~v141(constB166)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB166)) | (~v141(constB166)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25721,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB166)) | (~v141(constB166)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25722,plain,
% 20.53/14.16 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB166)) | (~v141(constB166))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25721, 25720])).
% 20.53/14.16 tff(25723,plain,
% 20.53/14.16 (~v141(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25722, 22474, 19979])).
% 20.53/14.16 tff(25724,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB166) | (~v154(constB166)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB166) | (~v154(constB166)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25725,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB166) | (~v154(constB166)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25726,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB166) | (~v154(constB166))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25725, 25724])).
% 20.53/14.16 tff(25727,plain,
% 20.53/14.16 (~v154(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25726, 22608, 25723])).
% 20.53/14.16 tff(25728,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB166) | (~v164(constB166)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB166) | (~v164(constB166)))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25729,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB166) | (~v164(constB166)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25730,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB166) | (~v164(constB166))),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25729, 25728])).
% 20.53/14.16 tff(25731,plain,
% 20.53/14.16 (~v164(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25730, 22836, 25727])).
% 20.53/14.16 tff(25732,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB166)) | v164(constB166) | v163(constB166))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB166)) | v164(constB166) | v163(constB166))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25733,plain,
% 20.53/14.16 ((v164(constB166) | v163(constB166) | (~v160(constB166))) <=> ((~v160(constB166)) | v164(constB166) | v163(constB166))),
% 20.53/14.16 inference(rewrite,[status(thm)],[])).
% 20.53/14.16 tff(25734,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB166) | v163(constB166) | (~v160(constB166)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB166)) | v164(constB166) | v163(constB166)))),
% 20.53/14.16 inference(monotonicity,[status(thm)],[25733])).
% 20.53/14.16 tff(25735,plain,
% 20.53/14.16 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB166) | v163(constB166) | (~v160(constB166)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB166)) | v164(constB166) | v163(constB166))),
% 20.53/14.16 inference(transitivity,[status(thm)],[25734, 25732])).
% 20.53/14.16 tff(25736,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB166) | v163(constB166) | (~v160(constB166)))),
% 20.53/14.16 inference(quant_inst,[status(thm)],[])).
% 20.53/14.16 tff(25737,plain,
% 20.53/14.16 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB166)) | v164(constB166) | v163(constB166)),
% 20.53/14.16 inference(modus_ponens,[status(thm)],[25736, 25735])).
% 20.53/14.16 tff(25738,plain,
% 20.53/14.16 ((~v160(constB166)) | v163(constB166)),
% 20.53/14.16 inference(unit_resolution,[status(thm)],[25737, 22795, 25731])).
% 20.53/14.17 tff(25739,plain,
% 20.53/14.17 (~v160(constB166)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25738, 25719])).
% 20.53/14.17 tff(25740,plain,
% 20.53/14.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB166, constB167)) | v160(constB166) | (~v162(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB166, constB167)) | v160(constB166) | (~v162(constB167)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25741,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB166, constB167)) | v160(constB166) | (~v162(constB167)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25742,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB166, constB167)) | v160(constB166) | (~v162(constB167))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25741, 25740])).
% 20.53/14.17 tff(25743,plain,
% 20.53/14.17 (v160(constB166) | (~v162(constB167))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25742, 22813, 20021])).
% 20.53/14.17 tff(25744,plain,
% 20.53/14.17 (~v162(constB167)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25743, 25739])).
% 20.53/14.17 tff(25745,plain,
% 20.53/14.17 ($false),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25744, 25502])).
% 20.53/14.17 tff(25746,plain,(~(constB167 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.17 tff(25747,assumption,(constB27 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.17 tff(25748,plain,
% 20.53/14.17 (v162(constB27) <=> v162(sK0_VarCurr)),
% 20.53/14.17 inference(monotonicity,[status(thm)],[25747])).
% 20.53/14.17 tff(25749,plain,
% 20.53/14.17 (v162(sK0_VarCurr) <=> v162(constB27)),
% 20.53/14.17 inference(symmetry,[status(thm)],[25748])).
% 20.53/14.17 tff(25750,plain,
% 20.53/14.17 (v162(constB27)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[22337, 25749])).
% 20.53/14.17 tff(25751,plain,
% 20.53/14.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB21, bitIndex2)) | (~v145(constB21)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB21, bitIndex2)) | (~v145(constB21)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25752,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB21, bitIndex2)) | (~v145(constB21)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25753,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB21, bitIndex2)) | (~v145(constB21))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25752, 25751])).
% 20.53/14.17 tff(25754,plain,
% 20.53/14.17 (~v145(constB21)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25753, 10327, 2915])).
% 20.53/14.17 tff(25755,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB21) | (~v144(constB21)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB21) | (~v144(constB21)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25756,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB21) | (~v144(constB21)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25757,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB21) | (~v144(constB21))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25756, 25755])).
% 20.53/14.17 tff(25758,plain,
% 20.53/14.17 (~v144(constB21)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25757, 22349, 25754])).
% 20.53/14.17 tff(25759,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB21) | (~v142(constB21)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB21) | (~v142(constB21)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25760,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB21) | (~v142(constB21)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25761,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB21) | (~v142(constB21))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 20.53/14.17 tff(25762,plain,
% 20.53/14.17 (~v142(constB21)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25761, 22360, 25758])).
% 20.53/14.17 tff(25763,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB21) | (~v138(constB21)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB21) | (~v138(constB21)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25764,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB21) | (~v138(constB21)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25765,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB21) | (~v138(constB21))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25764, 25763])).
% 20.53/14.17 tff(25766,plain,
% 20.53/14.17 (~v138(constB21)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25765, 22463, 22966])).
% 20.53/14.17 tff(25767,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB21) | v142(constB21) | (~v135(constB21)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB21) | v142(constB21) | (~v135(constB21)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25768,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB21) | v142(constB21) | (~v135(constB21)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25769,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB21) | v142(constB21) | (~v135(constB21))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25768, 25767])).
% 20.53/14.17 tff(25770,plain,
% 20.53/14.17 (v142(constB21) | (~v135(constB21))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25769, 22436, 25766])).
% 20.53/14.17 tff(25771,plain,
% 20.53/14.17 (~v135(constB21)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25770, 25762])).
% 20.53/14.17 tff(25772,plain,
% 20.53/14.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25773,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25774,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25773, 25772])).
% 20.53/14.17 tff(25775,plain,
% 20.53/14.17 (v135(constB21) | (~v137(constB22))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25774, 22451, 3018])).
% 20.53/14.17 tff(25776,plain,
% 20.53/14.17 (~v137(constB22)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25775, 25771])).
% 20.53/14.17 tff(25777,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB22) | (~v138(constB22)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB22) | (~v138(constB22)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25778,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB22) | (~v138(constB22)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25779,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB22) | (~v138(constB22))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25778, 25777])).
% 20.53/14.17 tff(25780,plain,
% 20.53/14.17 (~v138(constB22)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25779, 22463, 25776])).
% 20.53/14.17 tff(25781,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB22) | (~v144(constB22)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB22) | (~v144(constB22)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25782,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB22) | (~v144(constB22)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25783,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB22) | (~v144(constB22))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25782, 25781])).
% 20.53/14.17 tff(25784,plain,
% 20.53/14.17 (~v144(constB22)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25783, 22485, 23118])).
% 20.53/14.17 tff(25785,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB22) | (~v142(constB22)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB22) | (~v142(constB22)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25786,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB22) | (~v142(constB22)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25787,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB22) | (~v142(constB22))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25786, 25785])).
% 20.53/14.17 tff(25788,plain,
% 20.53/14.17 (~v142(constB22)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25787, 22360, 25784])).
% 20.53/14.17 tff(25789,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB22) | v142(constB22) | (~v135(constB22)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB22) | v142(constB22) | (~v135(constB22)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25790,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB22) | v142(constB22) | (~v135(constB22)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25791,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB22) | v142(constB22) | (~v135(constB22))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25790, 25789])).
% 20.53/14.17 tff(25792,plain,
% 20.53/14.17 (v138(constB22) | (~v135(constB22))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25791, 22436, 25788])).
% 20.53/14.17 tff(25793,plain,
% 20.53/14.17 (~v135(constB22)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25792, 25780])).
% 20.53/14.17 tff(25794,plain,
% 20.53/14.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25795,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25796,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25795, 25794])).
% 20.53/14.17 tff(25797,plain,
% 20.53/14.17 (v135(constB22) | (~v137(constB23))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25796, 22451, 3080])).
% 20.53/14.17 tff(25798,plain,
% 20.53/14.17 (~v137(constB23)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25797, 25793])).
% 20.53/14.17 tff(25799,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB23) | (~v153(constB23)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB23) | (~v153(constB23)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25800,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB23) | (~v153(constB23)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25801,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB23) | (~v153(constB23))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25800, 25799])).
% 20.53/14.17 tff(25802,plain,
% 20.53/14.17 (~v153(constB23)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25801, 22510, 25798])).
% 20.53/14.17 tff(25803,plain,
% 20.53/14.17 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB23)) | (~v155(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB23)) | (~v155(constB23)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25804,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB23)) | (~v155(constB23)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25805,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB23)) | (~v155(constB23))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25804, 25803])).
% 20.53/14.17 tff(25806,plain,
% 20.53/14.17 (~v155(constB23)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25805, 22552, 23171])).
% 20.53/14.17 tff(25807,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB23) | v155(constB23) | (~v150(constB23)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB23) | v155(constB23) | (~v150(constB23)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25808,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB23) | v155(constB23) | (~v150(constB23)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25809,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB23) | v155(constB23) | (~v150(constB23))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25808, 25807])).
% 20.53/14.17 tff(25810,plain,
% 20.53/14.17 (v153(constB23) | (~v150(constB23))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25809, 22566, 25806])).
% 20.53/14.17 tff(25811,plain,
% 20.53/14.17 (~v150(constB23)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25810, 25802])).
% 20.53/14.17 tff(25812,plain,
% 20.53/14.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB23, constB24)) | v150(constB23) | (~v152(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB23, constB24)) | v150(constB23) | (~v152(constB24)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25813,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB23, constB24)) | v150(constB23) | (~v152(constB24)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25814,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB23, constB24)) | v150(constB23) | (~v152(constB24))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25813, 25812])).
% 20.53/14.17 tff(25815,plain,
% 20.53/14.17 (v150(constB23) | (~v152(constB24))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25814, 22581, 3197])).
% 20.53/14.17 tff(25816,plain,
% 20.53/14.17 (~v152(constB24)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25815, 25811])).
% 20.53/14.17 tff(25817,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB24) | (~v155(constB24)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB24) | (~v155(constB24)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25818,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB24) | (~v155(constB24)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25819,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB24) | (~v155(constB24))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25818, 25817])).
% 20.53/14.17 tff(25820,plain,
% 20.53/14.17 (~v155(constB24)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25819, 22593, 25816])).
% 20.53/14.17 tff(25821,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB24) | (~v153(constB24)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB24) | (~v153(constB24)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25822,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB24) | (~v153(constB24)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25823,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB24) | (~v153(constB24))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25822, 25821])).
% 20.53/14.17 tff(25824,plain,
% 20.53/14.17 (~v153(constB24)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25823, 22619, 23200])).
% 20.53/14.17 tff(25825,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB24) | v155(constB24) | (~v150(constB24)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB24) | v155(constB24) | (~v150(constB24)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25826,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB24) | v155(constB24) | (~v150(constB24)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25827,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB24) | v155(constB24) | (~v150(constB24))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25826, 25825])).
% 20.53/14.17 tff(25828,plain,
% 20.53/14.17 (v155(constB24) | (~v150(constB24))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25827, 22566, 25824])).
% 20.53/14.17 tff(25829,plain,
% 20.53/14.17 (~v150(constB24)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25828, 25820])).
% 20.53/14.17 tff(25830,plain,
% 20.53/14.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB24, constB25)) | v150(constB24) | (~v152(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB24, constB25)) | v150(constB24) | (~v152(constB25)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25831,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB24, constB25)) | v150(constB24) | (~v152(constB25)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25832,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB24, constB25)) | v150(constB24) | (~v152(constB25))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25831, 25830])).
% 20.53/14.17 tff(25833,plain,
% 20.53/14.17 (v150(constB24) | (~v152(constB25))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25832, 22581, 3259])).
% 20.53/14.17 tff(25834,plain,
% 20.53/14.17 (~v152(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25833, 25829])).
% 20.53/14.17 tff(25835,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB25) | (~v164(constB25)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB25) | (~v164(constB25)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25836,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB25) | (~v164(constB25)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25837,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB25) | (~v164(constB25))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25836, 25835])).
% 20.53/14.17 tff(25838,plain,
% 20.53/14.17 (~v164(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25837, 22640, 25834])).
% 20.53/14.17 tff(25839,assumption,(v18(constB26)), introduced(assumption)).
% 20.53/14.17 tff(25840,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB26))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25841,plain,
% 20.53/14.17 ($false),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25840, 2627, 25839])).
% 20.53/14.17 tff(25842,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.17 tff(25843,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25844,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25845,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 20.53/14.17 tff(25846,plain,
% 20.53/14.17 (v22(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25845, 2640, 3389])).
% 20.53/14.17 tff(25847,plain,
% 20.53/14.17 (((~![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))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25848,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB26)) | (~v22(constB26)) | v18(constB26))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25849,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB26)) | (~v22(constB26)) | v18(constB26)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25848, 25847])).
% 20.53/14.17 tff(25850,plain,
% 20.53/14.17 ((~v19(constB26)) | v18(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25849, 2654, 25846])).
% 20.53/14.17 tff(25851,plain,
% 20.53/14.17 (~v19(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25850, 25842])).
% 20.53/14.17 tff(25852,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25853,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25854,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25853, 25852])).
% 20.53/14.17 tff(25855,plain,
% 20.53/14.17 (v13(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25854, 2669, 25851])).
% 20.53/14.17 tff(25856,plain,
% 20.53/14.17 (((~![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))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25857,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25858,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB25, constB26)) | (~v13(constB26)) | v9(constB25)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25857, 25856])).
% 20.53/14.17 tff(25859,plain,
% 20.53/14.17 ((~v13(constB26)) | v9(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25858, 2686, 3369])).
% 20.53/14.17 tff(25860,plain,
% 20.53/14.17 (v9(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25859, 25855])).
% 20.53/14.17 tff(25861,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v141(constB25))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB25) | (~v9(constB25)) | v141(constB25))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25862,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v141(constB25))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25863,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB25) | (~v9(constB25)) | v141(constB25)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 20.53/14.17 tff(25864,plain,
% 20.53/14.17 ((~v9(constB25)) | v141(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25863, 22396, 3256])).
% 20.53/14.17 tff(25865,plain,
% 20.53/14.17 (v141(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25864, 25860])).
% 20.53/14.17 tff(25866,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB25) | (~v141(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB25) | (~v141(constB25)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25867,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB25) | (~v141(constB25)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25868,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB25) | (~v141(constB25))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25867, 25866])).
% 20.53/14.17 tff(25869,plain,
% 20.53/14.17 (v140(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25868, 22408, 25865])).
% 20.53/14.17 tff(25870,plain,
% 20.53/14.17 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB25)) | (~v163(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB25)) | (~v163(constB25)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25871,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB25)) | (~v163(constB25)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25872,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB25)) | (~v163(constB25))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25871, 25870])).
% 20.53/14.17 tff(25873,plain,
% 20.53/14.17 (~v163(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25872, 22781, 25869])).
% 20.53/14.17 tff(25874,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB25)) | v164(constB25) | v163(constB25))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB25)) | v164(constB25) | v163(constB25))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25875,plain,
% 20.53/14.17 ((v164(constB25) | v163(constB25) | (~v160(constB25))) <=> ((~v160(constB25)) | v164(constB25) | v163(constB25))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25876,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB25) | v163(constB25) | (~v160(constB25)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB25)) | v164(constB25) | v163(constB25)))),
% 20.53/14.17 inference(monotonicity,[status(thm)],[25875])).
% 20.53/14.17 tff(25877,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB25) | v163(constB25) | (~v160(constB25)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB25)) | v164(constB25) | v163(constB25))),
% 20.53/14.17 inference(transitivity,[status(thm)],[25876, 25874])).
% 20.53/14.17 tff(25878,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB25) | v163(constB25) | (~v160(constB25)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25879,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB25)) | v164(constB25) | v163(constB25)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25878, 25877])).
% 20.53/14.17 tff(25880,plain,
% 20.53/14.17 ((~v160(constB25)) | v164(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25879, 22795, 25873])).
% 20.53/14.17 tff(25881,plain,
% 20.53/14.17 (~v160(constB25)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25880, 25838])).
% 20.53/14.17 tff(25882,plain,
% 20.53/14.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB25, constB26)) | v160(constB25) | (~v162(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB25, constB26)) | v160(constB25) | (~v162(constB26)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25883,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB25, constB26)) | v160(constB25) | (~v162(constB26)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25884,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB25, constB26)) | v160(constB25) | (~v162(constB26))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25883, 25882])).
% 20.53/14.17 tff(25885,plain,
% 20.53/14.17 (v160(constB25) | (~v162(constB26))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25884, 22813, 3369])).
% 20.53/14.17 tff(25886,plain,
% 20.53/14.17 (~v162(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25885, 25881])).
% 20.53/14.17 tff(25887,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB26) | (~v163(constB26)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB26) | (~v163(constB26)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25888,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB26) | (~v163(constB26)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25889,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB26) | (~v163(constB26))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25888, 25887])).
% 20.53/14.17 tff(25890,plain,
% 20.53/14.17 (~v163(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25889, 22825, 25886])).
% 20.53/14.17 tff(25891,plain,
% 20.53/14.17 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB26)) | (~v141(constB26)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB26)) | (~v141(constB26)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25892,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB26)) | (~v141(constB26)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25893,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB26)) | (~v141(constB26))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25892, 25891])).
% 20.53/14.17 tff(25894,plain,
% 20.53/14.17 (~v141(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25893, 22474, 3389])).
% 20.53/14.17 tff(25895,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB26) | (~v154(constB26)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB26) | (~v154(constB26)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25896,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB26) | (~v154(constB26)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25897,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB26) | (~v154(constB26))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25896, 25895])).
% 20.53/14.17 tff(25898,plain,
% 20.53/14.17 (~v154(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25897, 22608, 25894])).
% 20.53/14.17 tff(25899,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB26) | (~v164(constB26)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB26) | (~v164(constB26)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25900,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB26) | (~v164(constB26)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25901,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB26) | (~v164(constB26))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 20.53/14.17 tff(25902,plain,
% 20.53/14.17 (~v164(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25901, 22836, 25898])).
% 20.53/14.17 tff(25903,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB26)) | v164(constB26) | v163(constB26))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB26)) | v164(constB26) | v163(constB26))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25904,plain,
% 20.53/14.17 ((v164(constB26) | v163(constB26) | (~v160(constB26))) <=> ((~v160(constB26)) | v164(constB26) | v163(constB26))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25905,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB26) | v163(constB26) | (~v160(constB26)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB26)) | v164(constB26) | v163(constB26)))),
% 20.53/14.17 inference(monotonicity,[status(thm)],[25904])).
% 20.53/14.17 tff(25906,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB26) | v163(constB26) | (~v160(constB26)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB26)) | v164(constB26) | v163(constB26))),
% 20.53/14.17 inference(transitivity,[status(thm)],[25905, 25903])).
% 20.53/14.17 tff(25907,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB26) | v163(constB26) | (~v160(constB26)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25908,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB26)) | v164(constB26) | v163(constB26)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25907, 25906])).
% 20.53/14.17 tff(25909,plain,
% 20.53/14.17 ((~v160(constB26)) | v163(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25908, 22795, 25902])).
% 20.53/14.17 tff(25910,plain,
% 20.53/14.17 (~v160(constB26)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25909, 25890])).
% 20.53/14.17 tff(25911,plain,
% 20.53/14.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB26, constB27)) | v160(constB26) | (~v162(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB26, constB27)) | v160(constB26) | (~v162(constB27)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25912,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB26, constB27)) | v160(constB26) | (~v162(constB27)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25913,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB26, constB27)) | v160(constB26) | (~v162(constB27))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 20.53/14.17 tff(25914,plain,
% 20.53/14.17 (v160(constB26) | (~v162(constB27))),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25913, 22813, 3461])).
% 20.53/14.17 tff(25915,plain,
% 20.53/14.17 (~v162(constB27)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25914, 25910])).
% 20.53/14.17 tff(25916,plain,
% 20.53/14.17 ($false),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25915, 25750])).
% 20.53/14.17 tff(25917,plain,(~(constB27 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.17 tff(25918,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.17 tff(25919,plain,
% 20.53/14.17 (v162(constB63) <=> v162(sK0_VarCurr)),
% 20.53/14.17 inference(monotonicity,[status(thm)],[25918])).
% 20.53/14.17 tff(25920,plain,
% 20.53/14.17 (v162(sK0_VarCurr) <=> v162(constB63)),
% 20.53/14.17 inference(symmetry,[status(thm)],[25919])).
% 20.53/14.17 tff(25921,plain,
% 20.53/14.17 (v162(constB63)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[22337, 25920])).
% 20.53/14.17 tff(25922,plain,
% 20.53/14.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB57, bitIndex2)) | (~v145(constB57)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB57, bitIndex2)) | (~v145(constB57)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25923,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB57, bitIndex2)) | (~v145(constB57)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25924,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB57, bitIndex2)) | (~v145(constB57))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25923, 25922])).
% 20.53/14.17 tff(25925,plain,
% 20.53/14.17 (~v145(constB57)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25924, 10327, 6544])).
% 20.53/14.17 tff(25926,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB57) | (~v144(constB57)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB57) | (~v144(constB57)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25927,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB57) | (~v144(constB57)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25928,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB57) | (~v144(constB57))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25927, 25926])).
% 20.53/14.17 tff(25929,plain,
% 20.53/14.17 (~v144(constB57)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25928, 22349, 25925])).
% 20.53/14.17 tff(25930,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB57) | (~v142(constB57)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB57) | (~v142(constB57)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25931,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB57) | (~v142(constB57)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25932,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB57) | (~v142(constB57))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25931, 25930])).
% 20.53/14.17 tff(25933,plain,
% 20.53/14.17 (~v142(constB57)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25932, 22360, 25929])).
% 20.53/14.17 tff(25934,assumption,(v18(constB58)), introduced(assumption)).
% 20.53/14.17 tff(25935,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB58))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25936,plain,
% 20.53/14.17 ($false),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25935, 2627, 25934])).
% 20.53/14.17 tff(25937,plain,(~v18(constB58)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.17 tff(25938,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58)))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25939,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25940,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58))),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25939, 25938])).
% 20.53/14.17 tff(25941,plain,
% 20.53/14.17 (v22(constB58)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25940, 2640, 6667])).
% 20.53/14.17 tff(25942,plain,
% 20.53/14.17 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB58)) | (~v22(constB58)) | v18(constB58))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB58)) | (~v22(constB58)) | v18(constB58))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25943,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB58)) | (~v22(constB58)) | v18(constB58))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25944,plain,
% 20.53/14.17 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB58)) | (~v22(constB58)) | v18(constB58)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25943, 25942])).
% 20.53/14.17 tff(25945,plain,
% 20.53/14.17 ((~v19(constB58)) | v18(constB58)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25944, 2654, 25941])).
% 20.53/14.17 tff(25946,plain,
% 20.53/14.17 (~v19(constB58)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25945, 25937])).
% 20.53/14.17 tff(25947,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25948,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25949,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25948, 25947])).
% 20.53/14.17 tff(25950,plain,
% 20.53/14.17 (v13(constB58)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25949, 2669, 25946])).
% 20.53/14.17 tff(25951,plain,
% 20.53/14.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25952,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25953,plain,
% 20.53/14.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB57, constB58)) | (~v13(constB58)) | v9(constB57)),
% 20.53/14.17 inference(modus_ponens,[status(thm)],[25952, 25951])).
% 20.53/14.17 tff(25954,plain,
% 20.53/14.17 ((~v13(constB58)) | v9(constB57)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25953, 2686, 6647])).
% 20.53/14.17 tff(25955,plain,
% 20.53/14.17 (v9(constB57)),
% 20.53/14.17 inference(unit_resolution,[status(thm)],[25954, 25950])).
% 20.53/14.17 tff(25956,plain,
% 20.53/14.17 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v141(constB57))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB57) | (~v9(constB57)) | v141(constB57))),
% 20.53/14.17 inference(rewrite,[status(thm)],[])).
% 20.53/14.17 tff(25957,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v141(constB57))),
% 20.53/14.17 inference(quant_inst,[status(thm)],[])).
% 20.53/14.17 tff(25958,plain,
% 20.53/14.17 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB57) | (~v9(constB57)) | v141(constB57)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25957, 25956])).
% 20.53/14.18 tff(25959,plain,
% 20.53/14.18 ((~v9(constB57)) | v141(constB57)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25958, 22396, 6520])).
% 20.53/14.18 tff(25960,plain,
% 20.53/14.18 (v141(constB57)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25959, 25955])).
% 20.53/14.18 tff(25961,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB57) | (~v141(constB57)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB57) | (~v141(constB57)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25962,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB57) | (~v141(constB57)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(25963,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB57) | (~v141(constB57))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25962, 25961])).
% 20.53/14.18 tff(25964,plain,
% 20.53/14.18 (v140(constB57)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25963, 22408, 25960])).
% 20.53/14.18 tff(25965,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB57)) | (~v140(constB57)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB57)) | (~v140(constB57)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25966,plain,
% 20.53/14.18 (((~v140(constB57)) | (~v138(constB57))) <=> ((~v138(constB57)) | (~v140(constB57)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25967,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB57)) | (~v138(constB57)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB57)) | (~v140(constB57))))),
% 20.53/14.18 inference(monotonicity,[status(thm)],[25966])).
% 20.53/14.18 tff(25968,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB57)) | (~v138(constB57)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB57)) | (~v140(constB57)))),
% 20.53/14.18 inference(transitivity,[status(thm)],[25967, 25965])).
% 20.53/14.18 tff(25969,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB57)) | (~v138(constB57)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(25970,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB57)) | (~v140(constB57))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25969, 25968])).
% 20.53/14.18 tff(25971,plain,
% 20.53/14.18 (~v138(constB57)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25970, 22419, 25964])).
% 20.53/14.18 tff(25972,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB57) | v142(constB57) | (~v135(constB57)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB57) | v142(constB57) | (~v135(constB57)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25973,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB57) | v142(constB57) | (~v135(constB57)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(25974,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB57) | v142(constB57) | (~v135(constB57))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25973, 25972])).
% 20.53/14.18 tff(25975,plain,
% 20.53/14.18 (v142(constB57) | (~v135(constB57))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25974, 22436, 25971])).
% 20.53/14.18 tff(25976,plain,
% 20.53/14.18 (~v135(constB57)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25975, 25933])).
% 20.53/14.18 tff(25977,plain,
% 20.53/14.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB57, constB58)) | v135(constB57) | (~v137(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB57, constB58)) | v135(constB57) | (~v137(constB58)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25978,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB57, constB58)) | v135(constB57) | (~v137(constB58)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(25979,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB57, constB58)) | v135(constB57) | (~v137(constB58))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25978, 25977])).
% 20.53/14.18 tff(25980,plain,
% 20.53/14.18 (v135(constB57) | (~v137(constB58))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25979, 22451, 6647])).
% 20.53/14.18 tff(25981,plain,
% 20.53/14.18 (~v137(constB58)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25980, 25976])).
% 20.53/14.18 tff(25982,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB58) | (~v138(constB58)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB58) | (~v138(constB58)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25983,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB58) | (~v138(constB58)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(25984,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB58) | (~v138(constB58))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 20.53/14.18 tff(25985,plain,
% 20.53/14.18 (~v138(constB58)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25984, 22463, 25981])).
% 20.53/14.18 tff(25986,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB58)) | (~v141(constB58)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB58)) | (~v141(constB58)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25987,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB58)) | (~v141(constB58)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(25988,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB58)) | (~v141(constB58))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25987, 25986])).
% 20.53/14.18 tff(25989,plain,
% 20.53/14.18 (~v141(constB58)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25988, 22474, 6667])).
% 20.53/14.18 tff(25990,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB58) | (~v144(constB58)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB58) | (~v144(constB58)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25991,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB58) | (~v144(constB58)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(25992,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB58) | (~v144(constB58))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25991, 25990])).
% 20.53/14.18 tff(25993,plain,
% 20.53/14.18 (~v144(constB58)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25992, 22485, 25989])).
% 20.53/14.18 tff(25994,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB58) | (~v142(constB58)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB58) | (~v142(constB58)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25995,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB58) | (~v142(constB58)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(25996,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB58) | (~v142(constB58))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25995, 25994])).
% 20.53/14.18 tff(25997,plain,
% 20.53/14.18 (~v142(constB58)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[25996, 22360, 25993])).
% 20.53/14.18 tff(25998,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB58) | v142(constB58) | (~v135(constB58)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB58) | v142(constB58) | (~v135(constB58)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(25999,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB58) | v142(constB58) | (~v135(constB58)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26000,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB58) | v142(constB58) | (~v135(constB58))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[25999, 25998])).
% 20.53/14.18 tff(26001,plain,
% 20.53/14.18 (v138(constB58) | (~v135(constB58))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26000, 22436, 25997])).
% 20.53/14.18 tff(26002,plain,
% 20.53/14.18 (~v135(constB58)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26001, 25985])).
% 20.53/14.18 tff(26003,plain,
% 20.53/14.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB58, constB59)) | v135(constB58) | (~v137(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB58, constB59)) | v135(constB58) | (~v137(constB59)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26004,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB58, constB59)) | v135(constB58) | (~v137(constB59)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26005,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB58, constB59)) | v135(constB58) | (~v137(constB59))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26004, 26003])).
% 20.53/14.18 tff(26006,plain,
% 20.53/14.18 (v135(constB58) | (~v137(constB59))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26005, 22451, 6709])).
% 20.53/14.18 tff(26007,plain,
% 20.53/14.18 (~v137(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26006, 26002])).
% 20.53/14.18 tff(26008,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB59) | (~v153(constB59)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB59) | (~v153(constB59)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26009,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB59) | (~v153(constB59)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26010,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB59) | (~v153(constB59))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26009, 26008])).
% 20.53/14.18 tff(26011,plain,
% 20.53/14.18 (~v153(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26010, 22510, 26007])).
% 20.53/14.18 tff(26012,assumption,(v18(constB60)), introduced(assumption)).
% 20.53/14.18 tff(26013,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB60))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26014,plain,
% 20.53/14.18 ($false),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26013, 2627, 26012])).
% 20.53/14.18 tff(26015,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.18 tff(26016,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26017,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26018,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 20.53/14.18 tff(26019,plain,
% 20.53/14.18 (v22(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26018, 2640, 6846])).
% 20.53/14.18 tff(26020,plain,
% 20.53/14.18 (((~![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))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26021,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26022,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26021, 26020])).
% 20.53/14.18 tff(26023,plain,
% 20.53/14.18 ((~v19(constB60)) | v18(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26022, 2654, 26019])).
% 20.53/14.18 tff(26024,plain,
% 20.53/14.18 (~v19(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26023, 26015])).
% 20.53/14.18 tff(26025,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26026,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26027,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26026, 26025])).
% 20.53/14.18 tff(26028,plain,
% 20.53/14.18 (v13(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26027, 2669, 26024])).
% 20.53/14.18 tff(26029,plain,
% 20.53/14.18 (((~![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))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26030,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26031,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26030, 26029])).
% 20.53/14.18 tff(26032,plain,
% 20.53/14.18 ((~v13(constB60)) | v9(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26031, 2686, 6826])).
% 20.53/14.18 tff(26033,plain,
% 20.53/14.18 (v9(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26032, 26028])).
% 20.53/14.18 tff(26034,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26035,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26036,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26035, 26034])).
% 20.53/14.18 tff(26037,plain,
% 20.53/14.18 ((~v9(constB59)) | v141(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26036, 22396, 6706])).
% 20.53/14.18 tff(26038,plain,
% 20.53/14.18 (v141(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26037, 26033])).
% 20.53/14.18 tff(26039,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB59) | (~v141(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB59) | (~v141(constB59)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26040,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB59) | (~v141(constB59)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26041,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB59) | (~v141(constB59))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26040, 26039])).
% 20.53/14.18 tff(26042,plain,
% 20.53/14.18 (v140(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26041, 22408, 26038])).
% 20.53/14.18 tff(26043,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB59)) | (~v155(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB59)) | (~v155(constB59)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26044,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB59)) | (~v155(constB59)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26045,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB59)) | (~v155(constB59))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26044, 26043])).
% 20.53/14.18 tff(26046,plain,
% 20.53/14.18 (~v155(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26045, 22552, 26042])).
% 20.53/14.18 tff(26047,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB59) | v155(constB59) | (~v150(constB59)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB59) | v155(constB59) | (~v150(constB59)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26048,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB59) | v155(constB59) | (~v150(constB59)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26049,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB59) | v155(constB59) | (~v150(constB59))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26048, 26047])).
% 20.53/14.18 tff(26050,plain,
% 20.53/14.18 (v153(constB59) | (~v150(constB59))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26049, 22566, 26046])).
% 20.53/14.18 tff(26051,plain,
% 20.53/14.18 (~v150(constB59)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26050, 26011])).
% 20.53/14.18 tff(26052,plain,
% 20.53/14.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB59, constB60)) | v150(constB59) | (~v152(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB59, constB60)) | v150(constB59) | (~v152(constB60)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26053,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB59, constB60)) | v150(constB59) | (~v152(constB60)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26054,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB59, constB60)) | v150(constB59) | (~v152(constB60))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26053, 26052])).
% 20.53/14.18 tff(26055,plain,
% 20.53/14.18 (v150(constB59) | (~v152(constB60))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26054, 22581, 6826])).
% 20.53/14.18 tff(26056,plain,
% 20.53/14.18 (~v152(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26055, 26051])).
% 20.53/14.18 tff(26057,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB60) | (~v155(constB60)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB60) | (~v155(constB60)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26058,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB60) | (~v155(constB60)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26059,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB60) | (~v155(constB60))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26058, 26057])).
% 20.53/14.18 tff(26060,plain,
% 20.53/14.18 (~v155(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26059, 22593, 26056])).
% 20.53/14.18 tff(26061,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26062,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26063,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26062, 26061])).
% 20.53/14.18 tff(26064,plain,
% 20.53/14.18 (~v141(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26063, 22474, 6846])).
% 20.53/14.18 tff(26065,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB60) | (~v154(constB60)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB60) | (~v154(constB60)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26066,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB60) | (~v154(constB60)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26067,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB60) | (~v154(constB60))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26066, 26065])).
% 20.53/14.18 tff(26068,plain,
% 20.53/14.18 (~v154(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26067, 22608, 26064])).
% 20.53/14.18 tff(26069,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB60) | (~v153(constB60)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB60) | (~v153(constB60)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26070,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB60) | (~v153(constB60)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26071,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB60) | (~v153(constB60))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26070, 26069])).
% 20.53/14.18 tff(26072,plain,
% 20.53/14.18 (~v153(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26071, 22619, 26068])).
% 20.53/14.18 tff(26073,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB60) | v155(constB60) | (~v150(constB60)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB60) | v155(constB60) | (~v150(constB60)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26074,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB60) | v155(constB60) | (~v150(constB60)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26075,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB60) | v155(constB60) | (~v150(constB60))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26074, 26073])).
% 20.53/14.18 tff(26076,plain,
% 20.53/14.18 (v155(constB60) | (~v150(constB60))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26075, 22566, 26072])).
% 20.53/14.18 tff(26077,plain,
% 20.53/14.18 (~v150(constB60)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26076, 26060])).
% 20.53/14.18 tff(26078,plain,
% 20.53/14.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB60, constB61)) | v150(constB60) | (~v152(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB60, constB61)) | v150(constB60) | (~v152(constB61)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26079,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB60, constB61)) | v150(constB60) | (~v152(constB61)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26080,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB60, constB61)) | v150(constB60) | (~v152(constB61))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26079, 26078])).
% 20.53/14.18 tff(26081,plain,
% 20.53/14.18 (v150(constB60) | (~v152(constB61))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26080, 22581, 6888])).
% 20.53/14.18 tff(26082,plain,
% 20.53/14.18 (~v152(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26081, 26077])).
% 20.53/14.18 tff(26083,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB61) | (~v164(constB61)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB61) | (~v164(constB61)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26084,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB61) | (~v164(constB61)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26085,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB61) | (~v164(constB61))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26084, 26083])).
% 20.53/14.18 tff(26086,plain,
% 20.53/14.18 (~v164(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26085, 22640, 26082])).
% 20.53/14.18 tff(26087,assumption,(v18(constB62)), introduced(assumption)).
% 20.53/14.18 tff(26088,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB62))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26089,plain,
% 20.53/14.18 ($false),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26088, 2627, 26087])).
% 20.53/14.18 tff(26090,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.18 tff(26091,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26092,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26093,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26092, 26091])).
% 20.53/14.18 tff(26094,plain,
% 20.53/14.18 (v22(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26093, 2640, 7021])).
% 20.53/14.18 tff(26095,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26096,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26097,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26096, 26095])).
% 20.53/14.18 tff(26098,plain,
% 20.53/14.18 ((~v19(constB62)) | v18(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26097, 2654, 26094])).
% 20.53/14.18 tff(26099,plain,
% 20.53/14.18 (~v19(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26098, 26090])).
% 20.53/14.18 tff(26100,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26101,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26102,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26101, 26100])).
% 20.53/14.18 tff(26103,plain,
% 20.53/14.18 (v13(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26102, 2669, 26099])).
% 20.53/14.18 tff(26104,plain,
% 20.53/14.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26105,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26106,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26105, 26104])).
% 20.53/14.18 tff(26107,plain,
% 20.53/14.18 ((~v13(constB62)) | v9(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26106, 2686, 7001])).
% 20.53/14.18 tff(26108,plain,
% 20.53/14.18 (v9(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26107, 26103])).
% 20.53/14.18 tff(26109,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26110,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26111,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 20.53/14.18 tff(26112,plain,
% 20.53/14.18 ((~v9(constB61)) | v141(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26111, 22396, 6885])).
% 20.53/14.18 tff(26113,plain,
% 20.53/14.18 (v141(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26112, 26108])).
% 20.53/14.18 tff(26114,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB61) | (~v141(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB61) | (~v141(constB61)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26115,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB61) | (~v141(constB61)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26116,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB61) | (~v141(constB61))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26115, 26114])).
% 20.53/14.18 tff(26117,plain,
% 20.53/14.18 (v140(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26116, 22408, 26113])).
% 20.53/14.18 tff(26118,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB61)) | (~v163(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB61)) | (~v163(constB61)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26119,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB61)) | (~v163(constB61)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26120,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB61)) | (~v163(constB61))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 20.53/14.18 tff(26121,plain,
% 20.53/14.18 (~v163(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26120, 22781, 26117])).
% 20.53/14.18 tff(26122,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB61)) | v163(constB61) | v164(constB61))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB61)) | v163(constB61) | v164(constB61))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26123,plain,
% 20.53/14.18 ((v164(constB61) | v163(constB61) | (~v160(constB61))) <=> ((~v160(constB61)) | v163(constB61) | v164(constB61))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26124,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB61) | v163(constB61) | (~v160(constB61)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB61)) | v163(constB61) | v164(constB61)))),
% 20.53/14.18 inference(monotonicity,[status(thm)],[26123])).
% 20.53/14.18 tff(26125,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB61) | v163(constB61) | (~v160(constB61)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB61)) | v163(constB61) | v164(constB61))),
% 20.53/14.18 inference(transitivity,[status(thm)],[26124, 26122])).
% 20.53/14.18 tff(26126,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB61) | v163(constB61) | (~v160(constB61)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26127,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB61)) | v163(constB61) | v164(constB61)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26126, 26125])).
% 20.53/14.18 tff(26128,plain,
% 20.53/14.18 ((~v160(constB61)) | v164(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26127, 22795, 26121])).
% 20.53/14.18 tff(26129,plain,
% 20.53/14.18 (~v160(constB61)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26128, 26086])).
% 20.53/14.18 tff(26130,plain,
% 20.53/14.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB61, constB62)) | v160(constB61) | (~v162(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB61, constB62)) | v160(constB61) | (~v162(constB62)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26131,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB61, constB62)) | v160(constB61) | (~v162(constB62)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26132,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB61, constB62)) | v160(constB61) | (~v162(constB62))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26131, 26130])).
% 20.53/14.18 tff(26133,plain,
% 20.53/14.18 (v160(constB61) | (~v162(constB62))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26132, 22813, 7001])).
% 20.53/14.18 tff(26134,plain,
% 20.53/14.18 (~v162(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26133, 26129])).
% 20.53/14.18 tff(26135,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB62) | (~v163(constB62)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB62) | (~v163(constB62)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26136,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB62) | (~v163(constB62)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26137,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB62) | (~v163(constB62))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 20.53/14.18 tff(26138,plain,
% 20.53/14.18 (~v163(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26137, 22825, 26134])).
% 20.53/14.18 tff(26139,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26140,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26141,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26140, 26139])).
% 20.53/14.18 tff(26142,plain,
% 20.53/14.18 (~v141(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26141, 22474, 7021])).
% 20.53/14.18 tff(26143,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB62) | (~v154(constB62)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB62) | (~v154(constB62)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26144,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB62) | (~v154(constB62)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26145,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB62) | (~v154(constB62))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26144, 26143])).
% 20.53/14.18 tff(26146,plain,
% 20.53/14.18 (~v154(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26145, 22608, 26142])).
% 20.53/14.18 tff(26147,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB62) | (~v164(constB62)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB62) | (~v164(constB62)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26148,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB62) | (~v164(constB62)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26149,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB62) | (~v164(constB62))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26148, 26147])).
% 20.53/14.18 tff(26150,plain,
% 20.53/14.18 (~v164(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26149, 22836, 26146])).
% 20.53/14.18 tff(26151,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB62)) | v164(constB62) | v163(constB62))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB62)) | v164(constB62) | v163(constB62))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26152,plain,
% 20.53/14.18 ((v164(constB62) | v163(constB62) | (~v160(constB62))) <=> ((~v160(constB62)) | v164(constB62) | v163(constB62))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26153,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB62) | v163(constB62) | (~v160(constB62)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB62)) | v164(constB62) | v163(constB62)))),
% 20.53/14.18 inference(monotonicity,[status(thm)],[26152])).
% 20.53/14.18 tff(26154,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB62) | v163(constB62) | (~v160(constB62)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB62)) | v164(constB62) | v163(constB62))),
% 20.53/14.18 inference(transitivity,[status(thm)],[26153, 26151])).
% 20.53/14.18 tff(26155,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB62) | v163(constB62) | (~v160(constB62)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26156,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB62)) | v164(constB62) | v163(constB62)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26155, 26154])).
% 20.53/14.18 tff(26157,plain,
% 20.53/14.18 ((~v160(constB62)) | v163(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26156, 22795, 26150])).
% 20.53/14.18 tff(26158,plain,
% 20.53/14.18 (~v160(constB62)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26157, 26138])).
% 20.53/14.18 tff(26159,plain,
% 20.53/14.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB62, constB63)) | v160(constB62) | (~v162(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB62, constB63)) | v160(constB62) | (~v162(constB63)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26160,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB62, constB63)) | v160(constB62) | (~v162(constB63)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26161,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB62, constB63)) | v160(constB62) | (~v162(constB63))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 20.53/14.18 tff(26162,plain,
% 20.53/14.18 (v160(constB62) | (~v162(constB63))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26161, 22813, 7093])).
% 20.53/14.18 tff(26163,plain,
% 20.53/14.18 (~v162(constB63)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26162, 26158])).
% 20.53/14.18 tff(26164,plain,
% 20.53/14.18 ($false),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26163, 25921])).
% 20.53/14.18 tff(26165,plain,(~(constB63 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.18 tff(26166,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 20.53/14.18 tff(26167,plain,
% 20.53/14.18 (v162(constB31) <=> v162(sK0_VarCurr)),
% 20.53/14.18 inference(monotonicity,[status(thm)],[26166])).
% 20.53/14.18 tff(26168,plain,
% 20.53/14.18 (v162(sK0_VarCurr) <=> v162(constB31)),
% 20.53/14.18 inference(symmetry,[status(thm)],[26167])).
% 20.53/14.18 tff(26169,plain,
% 20.53/14.18 (v162(constB31)),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[22337, 26168])).
% 20.53/14.18 tff(26170,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB25) | (~v144(constB25)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB25) | (~v144(constB25)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26171,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB25) | (~v144(constB25)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26172,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB25) | (~v144(constB25))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26171, 26170])).
% 20.53/14.18 tff(26173,plain,
% 20.53/14.18 (~v144(constB25)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26172, 22349, 3427])).
% 20.53/14.18 tff(26174,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB25) | (~v142(constB25)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26175,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB25) | (~v142(constB25)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26176,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB25) | (~v142(constB25))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26175, 26174])).
% 20.53/14.18 tff(26177,plain,
% 20.53/14.18 (~v142(constB25)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26176, 22360, 26173])).
% 20.53/14.18 tff(26178,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB25)) | (~v140(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB25)) | (~v140(constB25)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26179,plain,
% 20.53/14.18 (((~v140(constB25)) | (~v138(constB25))) <=> ((~v138(constB25)) | (~v140(constB25)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26180,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB25)) | (~v138(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB25)) | (~v140(constB25))))),
% 20.53/14.18 inference(monotonicity,[status(thm)],[26179])).
% 20.53/14.18 tff(26181,plain,
% 20.53/14.18 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB25)) | (~v138(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB25)) | (~v140(constB25)))),
% 20.53/14.18 inference(transitivity,[status(thm)],[26180, 26178])).
% 20.53/14.18 tff(26182,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB25)) | (~v138(constB25)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26183,plain,
% 20.53/14.18 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB25)) | (~v140(constB25))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26182, 26181])).
% 20.53/14.18 tff(26184,plain,
% 20.53/14.18 (~v138(constB25)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26183, 22419, 25869])).
% 20.53/14.18 tff(26185,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB25) | v142(constB25) | (~v135(constB25)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB25) | v142(constB25) | (~v135(constB25)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26186,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB25) | v142(constB25) | (~v135(constB25)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26187,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB25) | v142(constB25) | (~v135(constB25))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26186, 26185])).
% 20.53/14.18 tff(26188,plain,
% 20.53/14.18 (v142(constB25) | (~v135(constB25))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26187, 22436, 26184])).
% 20.53/14.18 tff(26189,plain,
% 20.53/14.18 (~v135(constB25)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26188, 26177])).
% 20.53/14.18 tff(26190,plain,
% 20.53/14.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26191,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))),
% 20.53/14.18 inference(quant_inst,[status(thm)],[])).
% 20.53/14.18 tff(26192,plain,
% 20.53/14.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26))),
% 20.53/14.18 inference(modus_ponens,[status(thm)],[26191, 26190])).
% 20.53/14.18 tff(26193,plain,
% 20.53/14.18 (v135(constB25) | (~v137(constB26))),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26192, 22451, 3369])).
% 20.53/14.18 tff(26194,plain,
% 20.53/14.18 (~v137(constB26)),
% 20.53/14.18 inference(unit_resolution,[status(thm)],[26193, 26189])).
% 20.53/14.18 tff(26195,plain,
% 20.53/14.18 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB26) | (~v138(constB26)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB26) | (~v138(constB26)))),
% 20.53/14.18 inference(rewrite,[status(thm)],[])).
% 20.53/14.18 tff(26196,plain,
% 20.53/14.18 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB26) | (~v138(constB26)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26197,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB26) | (~v138(constB26))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26196, 26195])).
% 20.53/14.19 tff(26198,plain,
% 20.53/14.19 (~v138(constB26)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26197, 22463, 26194])).
% 20.53/14.19 tff(26199,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB26) | (~v144(constB26)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB26) | (~v144(constB26)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26200,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB26) | (~v144(constB26)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26201,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB26) | (~v144(constB26))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26200, 26199])).
% 20.53/14.19 tff(26202,plain,
% 20.53/14.19 (~v144(constB26)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26201, 22485, 25894])).
% 20.53/14.19 tff(26203,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB26) | (~v142(constB26)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB26) | (~v142(constB26)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26204,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB26) | (~v142(constB26)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26205,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB26) | (~v142(constB26))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26204, 26203])).
% 20.53/14.19 tff(26206,plain,
% 20.53/14.19 (~v142(constB26)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26205, 22360, 26202])).
% 20.53/14.19 tff(26207,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB26) | v142(constB26) | (~v135(constB26)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB26) | v142(constB26) | (~v135(constB26)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26208,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB26) | v142(constB26) | (~v135(constB26)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26209,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB26) | v142(constB26) | (~v135(constB26))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26208, 26207])).
% 20.53/14.19 tff(26210,plain,
% 20.53/14.19 (v138(constB26) | (~v135(constB26))),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26209, 22436, 26206])).
% 20.53/14.19 tff(26211,plain,
% 20.53/14.19 (~v135(constB26)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26210, 26198])).
% 20.53/14.19 tff(26212,plain,
% 20.53/14.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26213,plain,
% 20.53/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26214,plain,
% 20.53/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26213, 26212])).
% 20.53/14.19 tff(26215,plain,
% 20.53/14.19 (v135(constB26) | (~v137(constB27))),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26214, 22451, 3461])).
% 20.53/14.19 tff(26216,plain,
% 20.53/14.19 (~v137(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26215, 26211])).
% 20.53/14.19 tff(26217,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB27) | (~v153(constB27)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB27) | (~v153(constB27)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26218,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB27) | (~v153(constB27)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26219,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB27) | (~v153(constB27))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26218, 26217])).
% 20.53/14.19 tff(26220,plain,
% 20.53/14.19 (~v153(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26219, 22510, 26216])).
% 20.53/14.19 tff(26221,assumption,(v18(constB28)), introduced(assumption)).
% 20.53/14.19 tff(26222,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB28))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26223,plain,
% 20.53/14.19 ($false),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26222, 2627, 26221])).
% 20.53/14.19 tff(26224,plain,(~v18(constB28)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.19 tff(26225,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26226,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26227,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26226, 26225])).
% 20.53/14.19 tff(26228,plain,
% 20.53/14.19 (v22(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26227, 2640, 3620])).
% 20.53/14.19 tff(26229,plain,
% 20.53/14.19 (((~![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))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26230,plain,
% 20.53/14.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB28)) | (~v22(constB28)) | v18(constB28))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26231,plain,
% 20.53/14.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB28)) | (~v22(constB28)) | v18(constB28)),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26230, 26229])).
% 20.53/14.19 tff(26232,plain,
% 20.53/14.19 ((~v19(constB28)) | v18(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26231, 2654, 26228])).
% 20.53/14.19 tff(26233,plain,
% 20.53/14.19 (~v19(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26232, 26224])).
% 20.53/14.19 tff(26234,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26235,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26236,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28)),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26235, 26234])).
% 20.53/14.19 tff(26237,plain,
% 20.53/14.19 (v13(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26236, 2669, 26233])).
% 20.53/14.19 tff(26238,plain,
% 20.53/14.19 (((~![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))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26239,plain,
% 20.53/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26240,plain,
% 20.53/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB27, constB28)) | (~v13(constB28)) | v9(constB27)),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26239, 26238])).
% 20.53/14.19 tff(26241,plain,
% 20.53/14.19 ((~v13(constB28)) | v9(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26240, 2686, 3600])).
% 20.53/14.19 tff(26242,plain,
% 20.53/14.19 (v9(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26241, 26237])).
% 20.53/14.19 tff(26243,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v141(constB27))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB27) | (~v9(constB27)) | v141(constB27))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26244,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v141(constB27))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26245,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB27) | (~v9(constB27)) | v141(constB27)),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26244, 26243])).
% 20.53/14.19 tff(26246,plain,
% 20.53/14.19 ((~v9(constB27)) | v141(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26245, 22396, 3458])).
% 20.53/14.19 tff(26247,plain,
% 20.53/14.19 (v141(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26246, 26242])).
% 20.53/14.19 tff(26248,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB27) | (~v141(constB27)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB27) | (~v141(constB27)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26249,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB27) | (~v141(constB27)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26250,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB27) | (~v141(constB27))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26249, 26248])).
% 20.53/14.19 tff(26251,plain,
% 20.53/14.19 (v140(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26250, 22408, 26247])).
% 20.53/14.19 tff(26252,plain,
% 20.53/14.19 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB27)) | (~v155(constB27)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB27)) | (~v155(constB27)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26253,plain,
% 20.53/14.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB27)) | (~v155(constB27)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26254,plain,
% 20.53/14.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB27)) | (~v155(constB27))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26253, 26252])).
% 20.53/14.19 tff(26255,plain,
% 20.53/14.19 (~v155(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26254, 22552, 26251])).
% 20.53/14.19 tff(26256,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB27) | v155(constB27) | (~v150(constB27)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB27) | v155(constB27) | (~v150(constB27)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26257,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB27) | v155(constB27) | (~v150(constB27)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26258,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB27) | v155(constB27) | (~v150(constB27))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26257, 26256])).
% 20.53/14.19 tff(26259,plain,
% 20.53/14.19 (v153(constB27) | (~v150(constB27))),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26258, 22566, 26255])).
% 20.53/14.19 tff(26260,plain,
% 20.53/14.19 (~v150(constB27)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26259, 26220])).
% 20.53/14.19 tff(26261,plain,
% 20.53/14.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26262,plain,
% 20.53/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26263,plain,
% 20.53/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26262, 26261])).
% 20.53/14.19 tff(26264,plain,
% 20.53/14.19 (v150(constB27) | (~v152(constB28))),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26263, 22581, 3600])).
% 20.53/14.19 tff(26265,plain,
% 20.53/14.19 (~v152(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26264, 26260])).
% 20.53/14.19 tff(26266,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB28) | (~v155(constB28)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB28) | (~v155(constB28)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26267,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB28) | (~v155(constB28)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26268,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB28) | (~v155(constB28))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26267, 26266])).
% 20.53/14.19 tff(26269,plain,
% 20.53/14.19 (~v155(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26268, 22593, 26265])).
% 20.53/14.19 tff(26270,plain,
% 20.53/14.19 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB28)) | (~v141(constB28)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB28)) | (~v141(constB28)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26271,plain,
% 20.53/14.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB28)) | (~v141(constB28)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26272,plain,
% 20.53/14.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB28)) | (~v141(constB28))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26271, 26270])).
% 20.53/14.19 tff(26273,plain,
% 20.53/14.19 (~v141(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26272, 22474, 3620])).
% 20.53/14.19 tff(26274,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB28) | (~v154(constB28)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB28) | (~v154(constB28)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26275,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB28) | (~v154(constB28)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26276,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB28) | (~v154(constB28))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26275, 26274])).
% 20.53/14.19 tff(26277,plain,
% 20.53/14.19 (~v154(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26276, 22608, 26273])).
% 20.53/14.19 tff(26278,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB28) | (~v153(constB28)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB28) | (~v153(constB28)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26279,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB28) | (~v153(constB28)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26280,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB28) | (~v153(constB28))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 20.53/14.19 tff(26281,plain,
% 20.53/14.19 (~v153(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26280, 22619, 26277])).
% 20.53/14.19 tff(26282,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB28) | v155(constB28) | (~v150(constB28)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB28) | v155(constB28) | (~v150(constB28)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26283,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB28) | v155(constB28) | (~v150(constB28)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26284,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB28) | v155(constB28) | (~v150(constB28))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26283, 26282])).
% 20.53/14.19 tff(26285,plain,
% 20.53/14.19 (v155(constB28) | (~v150(constB28))),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26284, 22566, 26281])).
% 20.53/14.19 tff(26286,plain,
% 20.53/14.19 (~v150(constB28)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26285, 26269])).
% 20.53/14.19 tff(26287,plain,
% 20.53/14.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26288,plain,
% 20.53/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26289,plain,
% 20.53/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26288, 26287])).
% 20.53/14.19 tff(26290,plain,
% 20.53/14.19 (v150(constB28) | (~v152(constB29))),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26289, 22581, 3665])).
% 20.53/14.19 tff(26291,plain,
% 20.53/14.19 (~v152(constB29)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26290, 26286])).
% 20.53/14.19 tff(26292,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB29) | (~v164(constB29)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB29) | (~v164(constB29)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26293,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB29) | (~v164(constB29)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26294,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB29) | (~v164(constB29))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 20.53/14.19 tff(26295,plain,
% 20.53/14.19 (~v164(constB29)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26294, 22640, 26291])).
% 20.53/14.19 tff(26296,assumption,(v18(constB30)), introduced(assumption)).
% 20.53/14.19 tff(26297,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB30))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26298,plain,
% 20.53/14.19 ($false),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26297, 2627, 26296])).
% 20.53/14.19 tff(26299,plain,(~v18(constB30)), inference(lemma,lemma(discharge,[]))).
% 20.53/14.19 tff(26300,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30)))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26301,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26302,plain,
% 20.53/14.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30))),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26301, 26300])).
% 20.53/14.19 tff(26303,plain,
% 20.53/14.19 (v22(constB30)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26302, 2640, 3811])).
% 20.53/14.19 tff(26304,plain,
% 20.53/14.19 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB30)) | (~v22(constB30)) | v18(constB30))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB30)) | (~v22(constB30)) | v18(constB30))),
% 20.53/14.19 inference(rewrite,[status(thm)],[])).
% 20.53/14.19 tff(26305,plain,
% 20.53/14.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB30)) | (~v22(constB30)) | v18(constB30))),
% 20.53/14.19 inference(quant_inst,[status(thm)],[])).
% 20.53/14.19 tff(26306,plain,
% 20.53/14.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB30)) | (~v22(constB30)) | v18(constB30)),
% 20.53/14.19 inference(modus_ponens,[status(thm)],[26305, 26304])).
% 20.53/14.19 tff(26307,plain,
% 20.53/14.19 ((~v19(constB30)) | v18(constB30)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26306, 2654, 26303])).
% 20.53/14.19 tff(26308,plain,
% 20.53/14.19 (~v19(constB30)),
% 20.53/14.19 inference(unit_resolution,[status(thm)],[26307, 26299])).
% 20.53/14.19 tff(26309,plain,
% 20.53/14.19 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26310,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26311,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 20.62/14.19 tff(26312,plain,
% 20.62/14.19 (v13(constB30)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26311, 2669, 26308])).
% 20.62/14.19 tff(26313,plain,
% 20.62/14.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26314,plain,
% 20.62/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26315,plain,
% 20.62/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB29, constB30)) | (~v13(constB30)) | v9(constB29)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 20.62/14.19 tff(26316,plain,
% 20.62/14.19 ((~v13(constB30)) | v9(constB29)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26315, 2686, 3791])).
% 20.62/14.19 tff(26317,plain,
% 20.62/14.19 (v9(constB29)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26316, 26312])).
% 20.62/14.19 tff(26318,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v141(constB29))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB29) | (~v9(constB29)) | v141(constB29))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26319,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v141(constB29))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26320,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB29) | (~v9(constB29)) | v141(constB29)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26319, 26318])).
% 20.62/14.19 tff(26321,plain,
% 20.62/14.19 ((~v9(constB29)) | v141(constB29)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26320, 22396, 3662])).
% 20.62/14.19 tff(26322,plain,
% 20.62/14.19 (v141(constB29)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26321, 26317])).
% 20.62/14.19 tff(26323,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB29) | (~v141(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB29) | (~v141(constB29)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26324,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB29) | (~v141(constB29)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26325,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB29) | (~v141(constB29))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26324, 26323])).
% 20.62/14.19 tff(26326,plain,
% 20.62/14.19 (v140(constB29)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26325, 22408, 26322])).
% 20.62/14.19 tff(26327,plain,
% 20.62/14.19 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB29)) | (~v163(constB29)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB29)) | (~v163(constB29)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26328,plain,
% 20.62/14.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB29)) | (~v163(constB29)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26329,plain,
% 20.62/14.19 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB29)) | (~v163(constB29))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 20.62/14.19 tff(26330,plain,
% 20.62/14.19 (~v163(constB29)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26329, 22781, 26326])).
% 20.62/14.19 tff(26331,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB29)) | v163(constB29) | v164(constB29))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB29)) | v163(constB29) | v164(constB29))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26332,plain,
% 20.62/14.19 ((v164(constB29) | v163(constB29) | (~v160(constB29))) <=> ((~v160(constB29)) | v163(constB29) | v164(constB29))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26333,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB29) | v163(constB29) | (~v160(constB29)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB29)) | v163(constB29) | v164(constB29)))),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26332])).
% 20.62/14.19 tff(26334,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB29) | v163(constB29) | (~v160(constB29)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB29)) | v163(constB29) | v164(constB29))),
% 20.62/14.19 inference(transitivity,[status(thm)],[26333, 26331])).
% 20.62/14.19 tff(26335,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB29) | v163(constB29) | (~v160(constB29)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26336,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB29)) | v163(constB29) | v164(constB29)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26335, 26334])).
% 20.62/14.19 tff(26337,plain,
% 20.62/14.19 ((~v160(constB29)) | v164(constB29)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26336, 22795, 26330])).
% 20.62/14.19 tff(26338,plain,
% 20.62/14.19 (~v160(constB29)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26337, 26295])).
% 20.62/14.19 tff(26339,plain,
% 20.62/14.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26340,plain,
% 20.62/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26341,plain,
% 20.62/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26340, 26339])).
% 20.62/14.19 tff(26342,plain,
% 20.62/14.19 (v160(constB29) | (~v162(constB30))),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26341, 22813, 3791])).
% 20.62/14.19 tff(26343,plain,
% 20.62/14.19 (~v162(constB30)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26342, 26338])).
% 20.62/14.19 tff(26344,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB30) | (~v163(constB30)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB30) | (~v163(constB30)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26345,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB30) | (~v163(constB30)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26346,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB30) | (~v163(constB30))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26345, 26344])).
% 20.62/14.19 tff(26347,plain,
% 20.62/14.19 (~v163(constB30)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26346, 22825, 26343])).
% 20.62/14.19 tff(26348,plain,
% 20.62/14.19 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB30)) | (~v141(constB30)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB30)) | (~v141(constB30)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26349,plain,
% 20.62/14.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB30)) | (~v141(constB30)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26350,plain,
% 20.62/14.19 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB30)) | (~v141(constB30))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26349, 26348])).
% 20.62/14.19 tff(26351,plain,
% 20.62/14.19 (~v141(constB30)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26350, 22474, 3811])).
% 20.62/14.19 tff(26352,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB30) | (~v154(constB30)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB30) | (~v154(constB30)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26353,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB30) | (~v154(constB30)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26354,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB30) | (~v154(constB30))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26353, 26352])).
% 20.62/14.19 tff(26355,plain,
% 20.62/14.19 (~v154(constB30)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26354, 22608, 26351])).
% 20.62/14.19 tff(26356,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB30) | (~v164(constB30)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB30) | (~v164(constB30)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26357,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB30) | (~v164(constB30)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26358,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB30) | (~v164(constB30))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26357, 26356])).
% 20.62/14.19 tff(26359,plain,
% 20.62/14.19 (~v164(constB30)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26358, 22836, 26355])).
% 20.62/14.19 tff(26360,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB30)) | v164(constB30) | v163(constB30))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB30)) | v164(constB30) | v163(constB30))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26361,plain,
% 20.62/14.19 ((v164(constB30) | v163(constB30) | (~v160(constB30))) <=> ((~v160(constB30)) | v164(constB30) | v163(constB30))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26362,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB30) | v163(constB30) | (~v160(constB30)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB30)) | v164(constB30) | v163(constB30)))),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26361])).
% 20.62/14.19 tff(26363,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB30) | v163(constB30) | (~v160(constB30)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB30)) | v164(constB30) | v163(constB30))),
% 20.62/14.19 inference(transitivity,[status(thm)],[26362, 26360])).
% 20.62/14.19 tff(26364,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB30) | v163(constB30) | (~v160(constB30)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26365,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB30)) | v164(constB30) | v163(constB30)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26364, 26363])).
% 20.62/14.19 tff(26366,plain,
% 20.62/14.19 ((~v160(constB30)) | v163(constB30)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26365, 22795, 26359])).
% 20.62/14.19 tff(26367,plain,
% 20.62/14.19 (~v160(constB30)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26366, 26347])).
% 20.62/14.19 tff(26368,plain,
% 20.62/14.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26369,plain,
% 20.62/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26370,plain,
% 20.62/14.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26369, 26368])).
% 20.62/14.19 tff(26371,plain,
% 20.62/14.19 (v160(constB30) | (~v162(constB31))),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26370, 22813, 3856])).
% 20.62/14.19 tff(26372,plain,
% 20.62/14.19 (~v162(constB31)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26371, 26367])).
% 20.62/14.19 tff(26373,plain,
% 20.62/14.19 ($false),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26372, 26169])).
% 20.62/14.19 tff(26374,plain,(~(constB31 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.19 tff(26375,assumption,(constB134 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.19 tff(26376,plain,
% 20.62/14.19 (v1(constB134) <=> v1(sK0_VarCurr)),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26375])).
% 20.62/14.19 tff(26377,plain,
% 20.62/14.19 (v1(sK0_VarCurr) <=> v1(constB134)),
% 20.62/14.19 inference(symmetry,[status(thm)],[26376])).
% 20.62/14.19 tff(26378,plain,
% 20.62/14.19 ((~v1(sK0_VarCurr)) <=> (~v1(constB134))),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26377])).
% 20.62/14.19 tff(26379,plain,
% 20.62/14.19 (~v1(constB134)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[23510, 26378])).
% 20.62/14.19 tff(26380,plain,
% 20.62/14.19 ($false),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[16452, 26379])).
% 20.62/14.19 tff(26381,plain,(~(constB134 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.19 tff(26382,assumption,(constB4 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.19 tff(26383,plain,
% 20.62/14.19 (v1(constB4) <=> v1(sK0_VarCurr)),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26382])).
% 20.62/14.19 tff(26384,plain,
% 20.62/14.19 (v1(sK0_VarCurr) <=> v1(constB4)),
% 20.62/14.19 inference(symmetry,[status(thm)],[26383])).
% 20.62/14.19 tff(26385,plain,
% 20.62/14.19 ((~v1(sK0_VarCurr)) <=> (~v1(constB4))),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26384])).
% 20.62/14.19 tff(26386,plain,
% 20.62/14.19 (~v1(constB4)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[23510, 26385])).
% 20.62/14.19 tff(26387,plain,
% 20.62/14.19 ($false),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[731, 26386])).
% 20.62/14.19 tff(26388,plain,(~(constB4 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.19 tff(26389,assumption,(constB24 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.19 tff(26390,plain,
% 20.62/14.19 (v1(constB24) <=> v1(sK0_VarCurr)),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26389])).
% 20.62/14.19 tff(26391,plain,
% 20.62/14.19 (v1(sK0_VarCurr) <=> v1(constB24)),
% 20.62/14.19 inference(symmetry,[status(thm)],[26390])).
% 20.62/14.19 tff(26392,plain,
% 20.62/14.19 ((~v1(sK0_VarCurr)) <=> (~v1(constB24))),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26391])).
% 20.62/14.19 tff(26393,plain,
% 20.62/14.19 (~v1(constB24)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[23510, 26392])).
% 20.62/14.19 tff(26394,plain,
% 20.62/14.19 ($false),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[3217, 26393])).
% 20.62/14.19 tff(26395,plain,(~(constB24 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.19 tff(26396,assumption,(constB85 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.19 tff(26397,plain,
% 20.62/14.19 (v162(constB85) <=> v162(sK0_VarCurr)),
% 20.62/14.19 inference(monotonicity,[status(thm)],[26396])).
% 20.62/14.19 tff(26398,plain,
% 20.62/14.19 (v162(sK0_VarCurr) <=> v162(constB85)),
% 20.62/14.19 inference(symmetry,[status(thm)],[26397])).
% 20.62/14.19 tff(26399,plain,
% 20.62/14.19 (v162(constB85)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[22337, 26398])).
% 20.62/14.19 tff(26400,plain,
% 20.62/14.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB79, bitIndex1)) | (~v145(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB79, bitIndex1)) | (~v145(constB79)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26401,plain,
% 20.62/14.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB79, bitIndex1)) | (~v145(constB79)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26402,plain,
% 20.62/14.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB79, bitIndex1)) | (~v145(constB79))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26401, 26400])).
% 20.62/14.19 tff(26403,plain,
% 20.62/14.19 (~v145(constB79)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26402, 2012, 8943])).
% 20.62/14.19 tff(26404,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB79) | (~v144(constB79)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB79) | (~v144(constB79)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26405,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB79) | (~v144(constB79)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26406,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB79) | (~v144(constB79))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26405, 26404])).
% 20.62/14.19 tff(26407,plain,
% 20.62/14.19 (~v144(constB79)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26406, 22349, 26403])).
% 20.62/14.19 tff(26408,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB79) | (~v142(constB79)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB79) | (~v142(constB79)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26409,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB79) | (~v142(constB79)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26410,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB79) | (~v142(constB79))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26409, 26408])).
% 20.62/14.19 tff(26411,plain,
% 20.62/14.19 (~v142(constB79)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26410, 22360, 26407])).
% 20.62/14.19 tff(26412,assumption,(v18(constB80)), introduced(assumption)).
% 20.62/14.19 tff(26413,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB80))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26414,plain,
% 20.62/14.19 ($false),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26413, 2627, 26412])).
% 20.62/14.19 tff(26415,plain,(~v18(constB80)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.19 tff(26416,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80)))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26417,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26418,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80))),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26417, 26416])).
% 20.62/14.19 tff(26419,plain,
% 20.62/14.19 (v22(constB80)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26418, 2640, 9075])).
% 20.62/14.19 tff(26420,plain,
% 20.62/14.19 (((~![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))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26421,plain,
% 20.62/14.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB80)) | (~v22(constB80)) | v18(constB80))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26422,plain,
% 20.62/14.19 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB80)) | (~v22(constB80)) | v18(constB80)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26421, 26420])).
% 20.62/14.19 tff(26423,plain,
% 20.62/14.19 ((~v19(constB80)) | v18(constB80)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26422, 2654, 26419])).
% 20.62/14.19 tff(26424,plain,
% 20.62/14.19 (~v19(constB80)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26423, 26415])).
% 20.62/14.19 tff(26425,plain,
% 20.62/14.19 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80))),
% 20.62/14.19 inference(rewrite,[status(thm)],[])).
% 20.62/14.19 tff(26426,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))),
% 20.62/14.19 inference(quant_inst,[status(thm)],[])).
% 20.62/14.19 tff(26427,plain,
% 20.62/14.19 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80)),
% 20.62/14.19 inference(modus_ponens,[status(thm)],[26426, 26425])).
% 20.62/14.19 tff(26428,plain,
% 20.62/14.19 (v13(constB80)),
% 20.62/14.19 inference(unit_resolution,[status(thm)],[26427, 2669, 26424])).
% 20.62/14.19 tff(26429,plain,
% 20.62/14.19 (((~![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))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26430,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26431,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB79, constB80)) | (~v13(constB80)) | v9(constB79)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26430, 26429])).
% 20.62/14.20 tff(26432,plain,
% 20.62/14.20 ((~v13(constB80)) | v9(constB79)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26431, 2686, 9055])).
% 20.62/14.20 tff(26433,plain,
% 20.62/14.20 (v9(constB79)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26432, 26428])).
% 20.62/14.20 tff(26434,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v141(constB79))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB79) | (~v9(constB79)) | v141(constB79))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26435,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v141(constB79))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26436,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB79) | (~v9(constB79)) | v141(constB79)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26435, 26434])).
% 20.62/14.20 tff(26437,plain,
% 20.62/14.20 ((~v9(constB79)) | v141(constB79)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26436, 22396, 8888])).
% 20.62/14.20 tff(26438,plain,
% 20.62/14.20 (v141(constB79)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26437, 26433])).
% 20.62/14.20 tff(26439,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB79) | (~v141(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB79) | (~v141(constB79)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26440,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB79) | (~v141(constB79)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26441,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB79) | (~v141(constB79))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26440, 26439])).
% 20.62/14.20 tff(26442,plain,
% 20.62/14.20 (v140(constB79)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26441, 22408, 26438])).
% 20.62/14.20 tff(26443,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB79)) | (~v138(constB79)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB79)) | (~v138(constB79)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26444,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB79)) | (~v138(constB79)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26445,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB79)) | (~v138(constB79))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26444, 26443])).
% 20.62/14.20 tff(26446,plain,
% 20.62/14.20 (~v138(constB79)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26445, 22419, 26442])).
% 20.62/14.20 tff(26447,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB79) | v142(constB79) | (~v135(constB79)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB79) | v142(constB79) | (~v135(constB79)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26448,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB79) | v142(constB79) | (~v135(constB79)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26449,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB79) | v142(constB79) | (~v135(constB79))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26448, 26447])).
% 20.62/14.20 tff(26450,plain,
% 20.62/14.20 (v142(constB79) | (~v135(constB79))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26449, 22436, 26446])).
% 20.62/14.20 tff(26451,plain,
% 20.62/14.20 (~v135(constB79)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26450, 26411])).
% 20.62/14.20 tff(26452,plain,
% 20.62/14.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB79, constB80)) | v135(constB79) | (~v137(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB79, constB80)) | v135(constB79) | (~v137(constB80)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26453,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB79, constB80)) | v135(constB79) | (~v137(constB80)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26454,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB79, constB80)) | v135(constB79) | (~v137(constB80))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26453, 26452])).
% 20.62/14.20 tff(26455,plain,
% 20.62/14.20 (v135(constB79) | (~v137(constB80))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26454, 22451, 9055])).
% 20.62/14.20 tff(26456,plain,
% 20.62/14.20 (~v137(constB80)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26455, 26451])).
% 20.62/14.20 tff(26457,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB80) | (~v138(constB80)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB80) | (~v138(constB80)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26458,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB80) | (~v138(constB80)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26459,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB80) | (~v138(constB80))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26458, 26457])).
% 20.62/14.20 tff(26460,plain,
% 20.62/14.20 (~v138(constB80)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26459, 22463, 26456])).
% 20.62/14.20 tff(26461,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB80)) | (~v141(constB80)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB80)) | (~v141(constB80)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26462,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB80)) | (~v141(constB80)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26463,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB80)) | (~v141(constB80))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26462, 26461])).
% 20.62/14.20 tff(26464,plain,
% 20.62/14.20 (~v141(constB80)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26463, 22474, 9075])).
% 20.62/14.20 tff(26465,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB80) | (~v144(constB80)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB80) | (~v144(constB80)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26466,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB80) | (~v144(constB80)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26467,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB80) | (~v144(constB80))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26466, 26465])).
% 20.62/14.20 tff(26468,plain,
% 20.62/14.20 (~v144(constB80)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26467, 22485, 26464])).
% 20.62/14.20 tff(26469,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB80) | (~v142(constB80)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB80) | (~v142(constB80)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26470,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB80) | (~v142(constB80)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26471,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB80) | (~v142(constB80))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26470, 26469])).
% 20.62/14.20 tff(26472,plain,
% 20.62/14.20 (~v142(constB80)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26471, 22360, 26468])).
% 20.62/14.20 tff(26473,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB80) | v142(constB80) | (~v135(constB80)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB80) | v142(constB80) | (~v135(constB80)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26474,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB80) | v142(constB80) | (~v135(constB80)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26475,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB80) | v142(constB80) | (~v135(constB80))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26474, 26473])).
% 20.62/14.20 tff(26476,plain,
% 20.62/14.20 (v138(constB80) | (~v135(constB80))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26475, 22436, 26472])).
% 20.62/14.20 tff(26477,plain,
% 20.62/14.20 (~v135(constB80)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26476, 26460])).
% 20.62/14.20 tff(26478,plain,
% 20.62/14.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB80, constB81)) | v135(constB80) | (~v137(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB80, constB81)) | v135(constB80) | (~v137(constB81)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26479,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB80, constB81)) | v135(constB80) | (~v137(constB81)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26480,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB80, constB81)) | v135(constB80) | (~v137(constB81))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26479, 26478])).
% 20.62/14.20 tff(26481,plain,
% 20.62/14.20 (v135(constB80) | (~v137(constB81))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26480, 22451, 9117])).
% 20.62/14.20 tff(26482,plain,
% 20.62/14.20 (~v137(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26481, 26477])).
% 20.62/14.20 tff(26483,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB81) | (~v153(constB81)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB81) | (~v153(constB81)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26484,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB81) | (~v153(constB81)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26485,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB81) | (~v153(constB81))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26484, 26483])).
% 20.62/14.20 tff(26486,plain,
% 20.62/14.20 (~v153(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26485, 22510, 26482])).
% 20.62/14.20 tff(26487,assumption,(v18(constB82)), introduced(assumption)).
% 20.62/14.20 tff(26488,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB82))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26489,plain,
% 20.62/14.20 ($false),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26488, 2627, 26487])).
% 20.62/14.20 tff(26490,plain,(~v18(constB82)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.20 tff(26491,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26492,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26493,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26492, 26491])).
% 20.62/14.20 tff(26494,plain,
% 20.62/14.20 (v22(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26493, 2640, 9265])).
% 20.62/14.20 tff(26495,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB82)) | (~v22(constB82)) | v18(constB82))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB82)) | (~v22(constB82)) | v18(constB82))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26496,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB82)) | (~v22(constB82)) | v18(constB82))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26497,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB82)) | (~v22(constB82)) | v18(constB82)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26496, 26495])).
% 20.62/14.20 tff(26498,plain,
% 20.62/14.20 ((~v19(constB82)) | v18(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26497, 2654, 26494])).
% 20.62/14.20 tff(26499,plain,
% 20.62/14.20 (~v19(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26498, 26490])).
% 20.62/14.20 tff(26500,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26501,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26502,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26501, 26500])).
% 20.62/14.20 tff(26503,plain,
% 20.62/14.20 (v13(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26502, 2669, 26499])).
% 20.62/14.20 tff(26504,plain,
% 20.62/14.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26505,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26506,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26505, 26504])).
% 20.62/14.20 tff(26507,plain,
% 20.62/14.20 ((~v13(constB82)) | v9(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26506, 2686, 9245])).
% 20.62/14.20 tff(26508,plain,
% 20.62/14.20 (v9(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26507, 26503])).
% 20.62/14.20 tff(26509,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26510,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26511,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26510, 26509])).
% 20.62/14.20 tff(26512,plain,
% 20.62/14.20 ((~v9(constB81)) | v141(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26511, 22396, 9114])).
% 20.62/14.20 tff(26513,plain,
% 20.62/14.20 (v141(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26512, 26508])).
% 20.62/14.20 tff(26514,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB81) | (~v141(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB81) | (~v141(constB81)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26515,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB81) | (~v141(constB81)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26516,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB81) | (~v141(constB81))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 20.62/14.20 tff(26517,plain,
% 20.62/14.20 (v140(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26516, 22408, 26513])).
% 20.62/14.20 tff(26518,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB81)) | (~v155(constB81)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB81)) | (~v155(constB81)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26519,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB81)) | (~v155(constB81)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26520,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB81)) | (~v155(constB81))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26519, 26518])).
% 20.62/14.20 tff(26521,plain,
% 20.62/14.20 (~v155(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26520, 22552, 26517])).
% 20.62/14.20 tff(26522,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB81) | v155(constB81) | (~v150(constB81)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB81) | v155(constB81) | (~v150(constB81)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26523,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB81) | v155(constB81) | (~v150(constB81)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26524,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB81) | v155(constB81) | (~v150(constB81))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26523, 26522])).
% 20.62/14.20 tff(26525,plain,
% 20.62/14.20 (v153(constB81) | (~v150(constB81))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26524, 22566, 26521])).
% 20.62/14.20 tff(26526,plain,
% 20.62/14.20 (~v150(constB81)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26525, 26486])).
% 20.62/14.20 tff(26527,plain,
% 20.62/14.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB81, constB82)) | v150(constB81) | (~v152(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB81, constB82)) | v150(constB81) | (~v152(constB82)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26528,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB81, constB82)) | v150(constB81) | (~v152(constB82)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26529,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB81, constB82)) | v150(constB81) | (~v152(constB82))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26528, 26527])).
% 20.62/14.20 tff(26530,plain,
% 20.62/14.20 (v150(constB81) | (~v152(constB82))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26529, 22581, 9245])).
% 20.62/14.20 tff(26531,plain,
% 20.62/14.20 (~v152(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26530, 26526])).
% 20.62/14.20 tff(26532,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB82) | (~v155(constB82)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB82) | (~v155(constB82)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26533,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB82) | (~v155(constB82)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26534,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB82) | (~v155(constB82))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26533, 26532])).
% 20.62/14.20 tff(26535,plain,
% 20.62/14.20 (~v155(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26534, 22593, 26531])).
% 20.62/14.20 tff(26536,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB82)) | (~v141(constB82)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB82)) | (~v141(constB82)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26537,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB82)) | (~v141(constB82)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26538,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB82)) | (~v141(constB82))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26537, 26536])).
% 20.62/14.20 tff(26539,plain,
% 20.62/14.20 (~v141(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26538, 22474, 9265])).
% 20.62/14.20 tff(26540,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB82) | (~v154(constB82)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB82) | (~v154(constB82)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26541,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB82) | (~v154(constB82)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26542,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB82) | (~v154(constB82))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26541, 26540])).
% 20.62/14.20 tff(26543,plain,
% 20.62/14.20 (~v154(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26542, 22608, 26539])).
% 20.62/14.20 tff(26544,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB82) | (~v153(constB82)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB82) | (~v153(constB82)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26545,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB82) | (~v153(constB82)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26546,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB82) | (~v153(constB82))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26545, 26544])).
% 20.62/14.20 tff(26547,plain,
% 20.62/14.20 (~v153(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26546, 22619, 26543])).
% 20.62/14.20 tff(26548,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB82) | v155(constB82) | (~v150(constB82)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB82) | v155(constB82) | (~v150(constB82)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26549,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB82) | v155(constB82) | (~v150(constB82)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26550,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB82) | v155(constB82) | (~v150(constB82))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26549, 26548])).
% 20.62/14.20 tff(26551,plain,
% 20.62/14.20 (v155(constB82) | (~v150(constB82))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26550, 22566, 26547])).
% 20.62/14.20 tff(26552,plain,
% 20.62/14.20 (~v150(constB82)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26551, 26535])).
% 20.62/14.20 tff(26553,plain,
% 20.62/14.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB82, constB83)) | v150(constB82) | (~v152(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB82, constB83)) | v150(constB82) | (~v152(constB83)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26554,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB82, constB83)) | v150(constB82) | (~v152(constB83)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26555,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB82, constB83)) | v150(constB82) | (~v152(constB83))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26554, 26553])).
% 20.62/14.20 tff(26556,plain,
% 20.62/14.20 (v150(constB82) | (~v152(constB83))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26555, 22581, 9311])).
% 20.62/14.20 tff(26557,plain,
% 20.62/14.20 (~v152(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26556, 26552])).
% 20.62/14.20 tff(26558,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB83) | (~v164(constB83)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB83) | (~v164(constB83)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26559,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB83) | (~v164(constB83)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26560,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB83) | (~v164(constB83))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26559, 26558])).
% 20.62/14.20 tff(26561,plain,
% 20.62/14.20 (~v164(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26560, 22640, 26557])).
% 20.62/14.20 tff(26562,assumption,(v18(constB84)), introduced(assumption)).
% 20.62/14.20 tff(26563,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB84))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26564,plain,
% 20.62/14.20 ($false),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26563, 2627, 26562])).
% 20.62/14.20 tff(26565,plain,(~v18(constB84)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.20 tff(26566,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26567,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26568,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26567, 26566])).
% 20.62/14.20 tff(26569,plain,
% 20.62/14.20 (v22(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26568, 2640, 9445])).
% 20.62/14.20 tff(26570,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB84)) | (~v22(constB84)) | v18(constB84))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB84)) | (~v22(constB84)) | v18(constB84))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26571,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB84)) | (~v22(constB84)) | v18(constB84))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26572,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB84)) | (~v22(constB84)) | v18(constB84)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26571, 26570])).
% 20.62/14.20 tff(26573,plain,
% 20.62/14.20 ((~v19(constB84)) | v18(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26572, 2654, 26569])).
% 20.62/14.20 tff(26574,plain,
% 20.62/14.20 (~v19(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26573, 26565])).
% 20.62/14.20 tff(26575,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26576,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26577,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26576, 26575])).
% 20.62/14.20 tff(26578,plain,
% 20.62/14.20 (v13(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26577, 2669, 26574])).
% 20.62/14.20 tff(26579,plain,
% 20.62/14.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26580,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26581,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB83, constB84)) | (~v13(constB84)) | v9(constB83)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26580, 26579])).
% 20.62/14.20 tff(26582,plain,
% 20.62/14.20 ((~v13(constB84)) | v9(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26581, 2686, 9425])).
% 20.62/14.20 tff(26583,plain,
% 20.62/14.20 (v9(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26582, 26578])).
% 20.62/14.20 tff(26584,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v141(constB83))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB83) | (~v9(constB83)) | v141(constB83))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26585,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v141(constB83))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26586,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB83) | (~v9(constB83)) | v141(constB83)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26585, 26584])).
% 20.62/14.20 tff(26587,plain,
% 20.62/14.20 ((~v9(constB83)) | v141(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26586, 22396, 9308])).
% 20.62/14.20 tff(26588,plain,
% 20.62/14.20 (v141(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26587, 26583])).
% 20.62/14.20 tff(26589,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB83) | (~v141(constB83)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB83) | (~v141(constB83)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26590,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB83) | (~v141(constB83)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26591,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB83) | (~v141(constB83))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26590, 26589])).
% 20.62/14.20 tff(26592,plain,
% 20.62/14.20 (v140(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26591, 22408, 26588])).
% 20.62/14.20 tff(26593,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB83)) | (~v163(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB83)) | (~v163(constB83)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26594,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB83)) | (~v163(constB83)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26595,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB83)) | (~v163(constB83))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26594, 26593])).
% 20.62/14.20 tff(26596,plain,
% 20.62/14.20 (~v163(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26595, 22781, 26592])).
% 20.62/14.20 tff(26597,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB83)) | v163(constB83) | v164(constB83))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB83)) | v163(constB83) | v164(constB83))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26598,plain,
% 20.62/14.20 ((v164(constB83) | v163(constB83) | (~v160(constB83))) <=> ((~v160(constB83)) | v163(constB83) | v164(constB83))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26599,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB83) | v163(constB83) | (~v160(constB83)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB83)) | v163(constB83) | v164(constB83)))),
% 20.62/14.20 inference(monotonicity,[status(thm)],[26598])).
% 20.62/14.20 tff(26600,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB83) | v163(constB83) | (~v160(constB83)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB83)) | v163(constB83) | v164(constB83))),
% 20.62/14.20 inference(transitivity,[status(thm)],[26599, 26597])).
% 20.62/14.20 tff(26601,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB83) | v163(constB83) | (~v160(constB83)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26602,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB83)) | v163(constB83) | v164(constB83)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26601, 26600])).
% 20.62/14.20 tff(26603,plain,
% 20.62/14.20 ((~v160(constB83)) | v164(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26602, 22795, 26596])).
% 20.62/14.20 tff(26604,plain,
% 20.62/14.20 (~v160(constB83)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26603, 26561])).
% 20.62/14.20 tff(26605,plain,
% 20.62/14.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB83, constB84)) | v160(constB83) | (~v162(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB83, constB84)) | v160(constB83) | (~v162(constB84)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26606,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB83, constB84)) | v160(constB83) | (~v162(constB84)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26607,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB83, constB84)) | v160(constB83) | (~v162(constB84))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26606, 26605])).
% 20.62/14.20 tff(26608,plain,
% 20.62/14.20 (v160(constB83) | (~v162(constB84))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26607, 22813, 9425])).
% 20.62/14.20 tff(26609,plain,
% 20.62/14.20 (~v162(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26608, 26604])).
% 20.62/14.20 tff(26610,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB84) | (~v163(constB84)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB84) | (~v163(constB84)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26611,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB84) | (~v163(constB84)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26612,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB84) | (~v163(constB84))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26611, 26610])).
% 20.62/14.20 tff(26613,plain,
% 20.62/14.20 (~v163(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26612, 22825, 26609])).
% 20.62/14.20 tff(26614,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB84)) | (~v141(constB84)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB84)) | (~v141(constB84)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26615,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB84)) | (~v141(constB84)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26616,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB84)) | (~v141(constB84))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26615, 26614])).
% 20.62/14.20 tff(26617,plain,
% 20.62/14.20 (~v141(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26616, 22474, 9445])).
% 20.62/14.20 tff(26618,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB84) | (~v154(constB84)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB84) | (~v154(constB84)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26619,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB84) | (~v154(constB84)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26620,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB84) | (~v154(constB84))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26619, 26618])).
% 20.62/14.20 tff(26621,plain,
% 20.62/14.20 (~v154(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26620, 22608, 26617])).
% 20.62/14.20 tff(26622,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB84) | (~v164(constB84)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB84) | (~v164(constB84)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26623,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB84) | (~v164(constB84)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26624,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB84) | (~v164(constB84))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26623, 26622])).
% 20.62/14.20 tff(26625,plain,
% 20.62/14.20 (~v164(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26624, 22836, 26621])).
% 20.62/14.20 tff(26626,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB84)) | v164(constB84) | v163(constB84))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB84)) | v164(constB84) | v163(constB84))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26627,plain,
% 20.62/14.20 ((v164(constB84) | v163(constB84) | (~v160(constB84))) <=> ((~v160(constB84)) | v164(constB84) | v163(constB84))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26628,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB84) | v163(constB84) | (~v160(constB84)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB84)) | v164(constB84) | v163(constB84)))),
% 20.62/14.20 inference(monotonicity,[status(thm)],[26627])).
% 20.62/14.20 tff(26629,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB84) | v163(constB84) | (~v160(constB84)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB84)) | v164(constB84) | v163(constB84))),
% 20.62/14.20 inference(transitivity,[status(thm)],[26628, 26626])).
% 20.62/14.20 tff(26630,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB84) | v163(constB84) | (~v160(constB84)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26631,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB84)) | v164(constB84) | v163(constB84)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26630, 26629])).
% 20.62/14.20 tff(26632,plain,
% 20.62/14.20 ((~v160(constB84)) | v163(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26631, 22795, 26625])).
% 20.62/14.20 tff(26633,plain,
% 20.62/14.20 (~v160(constB84)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26632, 26613])).
% 20.62/14.20 tff(26634,plain,
% 20.62/14.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB84, constB85)) | v160(constB84) | (~v162(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB84, constB85)) | v160(constB84) | (~v162(constB85)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26635,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB84, constB85)) | v160(constB84) | (~v162(constB85)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26636,plain,
% 20.62/14.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB84, constB85)) | v160(constB84) | (~v162(constB85))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26635, 26634])).
% 20.62/14.20 tff(26637,plain,
% 20.62/14.20 (v160(constB84) | (~v162(constB85))),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26636, 22813, 9487])).
% 20.62/14.20 tff(26638,plain,
% 20.62/14.20 (~v162(constB85)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26637, 26633])).
% 20.62/14.20 tff(26639,plain,
% 20.62/14.20 ($false),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26638, 26399])).
% 20.62/14.20 tff(26640,plain,(~(constB85 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.20 tff(26641,assumption,(constB96 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.20 tff(26642,plain,
% 20.62/14.20 (v1(constB96) <=> v1(sK0_VarCurr)),
% 20.62/14.20 inference(monotonicity,[status(thm)],[26641])).
% 20.62/14.20 tff(26643,plain,
% 20.62/14.20 (v1(sK0_VarCurr) <=> v1(constB96)),
% 20.62/14.20 inference(symmetry,[status(thm)],[26642])).
% 20.62/14.20 tff(26644,plain,
% 20.62/14.20 ((~v1(sK0_VarCurr)) <=> (~v1(constB96))),
% 20.62/14.20 inference(monotonicity,[status(thm)],[26643])).
% 20.62/14.20 tff(26645,plain,
% 20.62/14.20 (~v1(constB96)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[23510, 26644])).
% 20.62/14.20 tff(26646,plain,
% 20.62/14.20 ($false),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[12641, 26645])).
% 20.62/14.20 tff(26647,plain,(~(constB96 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.20 tff(26648,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.20 tff(26649,plain,
% 20.62/14.20 (v162(constB157) <=> v162(sK0_VarCurr)),
% 20.62/14.20 inference(monotonicity,[status(thm)],[26648])).
% 20.62/14.20 tff(26650,plain,
% 20.62/14.20 (v162(sK0_VarCurr) <=> v162(constB157)),
% 20.62/14.20 inference(symmetry,[status(thm)],[26649])).
% 20.62/14.20 tff(26651,plain,
% 20.62/14.20 (v162(constB157)),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[22337, 26650])).
% 20.62/14.20 tff(26652,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB151, bitIndex1)) | (~v145(constB151)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB151, bitIndex1)) | (~v145(constB151)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26653,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB151, bitIndex1)) | (~v145(constB151)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26654,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB151, bitIndex1)) | (~v145(constB151))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 20.62/14.20 tff(26655,plain,
% 20.62/14.20 (~v145(constB151)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26654, 2012, 18359])).
% 20.62/14.20 tff(26656,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB151) | (~v144(constB151)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB151) | (~v144(constB151)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26657,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB151) | (~v144(constB151)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26658,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB151) | (~v144(constB151))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26657, 26656])).
% 20.62/14.20 tff(26659,plain,
% 20.62/14.20 (~v144(constB151)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26658, 22349, 26655])).
% 20.62/14.20 tff(26660,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB151) | (~v142(constB151)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB151) | (~v142(constB151)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26661,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB151) | (~v142(constB151)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26662,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB151) | (~v142(constB151))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26661, 26660])).
% 20.62/14.20 tff(26663,plain,
% 20.62/14.20 (~v142(constB151)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26662, 22360, 26659])).
% 20.62/14.20 tff(26664,assumption,(v18(constB152)), introduced(assumption)).
% 20.62/14.20 tff(26665,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB152))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26666,plain,
% 20.62/14.20 ($false),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26665, 2627, 26664])).
% 20.62/14.20 tff(26667,plain,(~v18(constB152)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.20 tff(26668,plain,
% 20.62/14.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152)))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26669,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26670,plain,
% 20.62/14.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152))),
% 20.62/14.20 inference(modus_ponens,[status(thm)],[26669, 26668])).
% 20.62/14.20 tff(26671,plain,
% 20.62/14.20 (v22(constB152)),
% 20.62/14.20 inference(unit_resolution,[status(thm)],[26670, 2640, 18449])).
% 20.62/14.20 tff(26672,plain,
% 20.62/14.20 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB152)) | (~v22(constB152)) | v18(constB152))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB152)) | (~v22(constB152)) | v18(constB152))),
% 20.62/14.20 inference(rewrite,[status(thm)],[])).
% 20.62/14.20 tff(26673,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB152)) | (~v22(constB152)) | v18(constB152))),
% 20.62/14.20 inference(quant_inst,[status(thm)],[])).
% 20.62/14.20 tff(26674,plain,
% 20.62/14.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB152)) | (~v22(constB152)) | v18(constB152)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26673, 26672])).
% 20.62/14.21 tff(26675,plain,
% 20.62/14.21 ((~v19(constB152)) | v18(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26674, 2654, 26671])).
% 20.62/14.21 tff(26676,plain,
% 20.62/14.21 (~v19(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26675, 26667])).
% 20.62/14.21 tff(26677,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26678,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26679,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26678, 26677])).
% 20.62/14.21 tff(26680,plain,
% 20.62/14.21 (v13(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26679, 2669, 26676])).
% 20.62/14.21 tff(26681,plain,
% 20.62/14.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26682,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26683,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB151, constB152)) | (~v13(constB152)) | v9(constB151)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26682, 26681])).
% 20.62/14.21 tff(26684,plain,
% 20.62/14.21 ((~v13(constB152)) | v9(constB151)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26683, 2686, 18429])).
% 20.62/14.21 tff(26685,plain,
% 20.62/14.21 (v9(constB151)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26684, 26680])).
% 20.62/14.21 tff(26686,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v141(constB151))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB151) | (~v9(constB151)) | v141(constB151))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26687,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v141(constB151))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26688,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB151) | (~v9(constB151)) | v141(constB151)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26687, 26686])).
% 20.62/14.21 tff(26689,plain,
% 20.62/14.21 ((~v9(constB151)) | v141(constB151)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26688, 22396, 18304])).
% 20.62/14.21 tff(26690,plain,
% 20.62/14.21 (v141(constB151)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26689, 26685])).
% 20.62/14.21 tff(26691,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB151) | (~v141(constB151)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB151) | (~v141(constB151)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26692,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB151) | (~v141(constB151)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26693,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB151) | (~v141(constB151))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26692, 26691])).
% 20.62/14.21 tff(26694,plain,
% 20.62/14.21 (v140(constB151)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26693, 22408, 26690])).
% 20.62/14.21 tff(26695,plain,
% 20.62/14.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB151)) | (~v140(constB151)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB151)) | (~v140(constB151)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26696,plain,
% 20.62/14.21 (((~v140(constB151)) | (~v138(constB151))) <=> ((~v138(constB151)) | (~v140(constB151)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26697,plain,
% 20.62/14.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB151)) | (~v138(constB151)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB151)) | (~v140(constB151))))),
% 20.62/14.21 inference(monotonicity,[status(thm)],[26696])).
% 20.62/14.21 tff(26698,plain,
% 20.62/14.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB151)) | (~v138(constB151)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB151)) | (~v140(constB151)))),
% 20.62/14.21 inference(transitivity,[status(thm)],[26697, 26695])).
% 20.62/14.21 tff(26699,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB151)) | (~v138(constB151)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26700,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB151)) | (~v140(constB151))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26699, 26698])).
% 20.62/14.21 tff(26701,plain,
% 20.62/14.21 (~v138(constB151)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26700, 22419, 26694])).
% 20.62/14.21 tff(26702,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB151) | v142(constB151) | (~v135(constB151)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB151) | v142(constB151) | (~v135(constB151)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26703,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB151) | v142(constB151) | (~v135(constB151)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26704,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB151) | v142(constB151) | (~v135(constB151))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26703, 26702])).
% 20.62/14.21 tff(26705,plain,
% 20.62/14.21 (v142(constB151) | (~v135(constB151))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26704, 22436, 26701])).
% 20.62/14.21 tff(26706,plain,
% 20.62/14.21 (~v135(constB151)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26705, 26663])).
% 20.62/14.21 tff(26707,plain,
% 20.62/14.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26708,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26709,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26708, 26707])).
% 20.62/14.21 tff(26710,plain,
% 20.62/14.21 (v135(constB151) | (~v137(constB152))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26709, 22451, 18429])).
% 20.62/14.21 tff(26711,plain,
% 20.62/14.21 (~v137(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26710, 26706])).
% 20.62/14.21 tff(26712,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB152) | (~v138(constB152)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB152) | (~v138(constB152)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26713,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB152) | (~v138(constB152)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26714,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB152) | (~v138(constB152))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26713, 26712])).
% 20.62/14.21 tff(26715,plain,
% 20.62/14.21 (~v138(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26714, 22463, 26711])).
% 20.62/14.21 tff(26716,plain,
% 20.62/14.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB152)) | (~v141(constB152)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB152)) | (~v141(constB152)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26717,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB152)) | (~v141(constB152)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26718,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB152)) | (~v141(constB152))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26717, 26716])).
% 20.62/14.21 tff(26719,plain,
% 20.62/14.21 (~v141(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26718, 22474, 18449])).
% 20.62/14.21 tff(26720,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB152) | (~v144(constB152)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB152) | (~v144(constB152)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26721,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB152) | (~v144(constB152)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26722,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB152) | (~v144(constB152))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26721, 26720])).
% 20.62/14.21 tff(26723,plain,
% 20.62/14.21 (~v144(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26722, 22485, 26719])).
% 20.62/14.21 tff(26724,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB152) | (~v142(constB152)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB152) | (~v142(constB152)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26725,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB152) | (~v142(constB152)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26726,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB152) | (~v142(constB152))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26725, 26724])).
% 20.62/14.21 tff(26727,plain,
% 20.62/14.21 (~v142(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26726, 22360, 26723])).
% 20.62/14.21 tff(26728,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB152) | v142(constB152) | (~v135(constB152)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB152) | v142(constB152) | (~v135(constB152)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26729,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB152) | v142(constB152) | (~v135(constB152)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26730,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB152) | v142(constB152) | (~v135(constB152))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26729, 26728])).
% 20.62/14.21 tff(26731,plain,
% 20.62/14.21 (v138(constB152) | (~v135(constB152))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26730, 22436, 26727])).
% 20.62/14.21 tff(26732,plain,
% 20.62/14.21 (~v135(constB152)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26731, 26715])).
% 20.62/14.21 tff(26733,plain,
% 20.62/14.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26734,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26735,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26734, 26733])).
% 20.62/14.21 tff(26736,plain,
% 20.62/14.21 (v135(constB152) | (~v137(constB153))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26735, 22451, 18491])).
% 20.62/14.21 tff(26737,plain,
% 20.62/14.21 (~v137(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26736, 26732])).
% 20.62/14.21 tff(26738,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB153) | (~v153(constB153)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB153) | (~v153(constB153)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26739,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB153) | (~v153(constB153)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26740,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB153) | (~v153(constB153))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26739, 26738])).
% 20.62/14.21 tff(26741,plain,
% 20.62/14.21 (~v153(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26740, 22510, 26737])).
% 20.62/14.21 tff(26742,assumption,(v18(constB154)), introduced(assumption)).
% 20.62/14.21 tff(26743,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB154))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26744,plain,
% 20.62/14.21 ($false),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26743, 2627, 26742])).
% 20.62/14.21 tff(26745,plain,(~v18(constB154)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.21 tff(26746,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26747,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26748,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26747, 26746])).
% 20.62/14.21 tff(26749,plain,
% 20.62/14.21 (v22(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26748, 2640, 18705])).
% 20.62/14.21 tff(26750,plain,
% 20.62/14.21 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB154)) | (~v22(constB154)) | v18(constB154))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB154)) | (~v22(constB154)) | v18(constB154))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26751,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB154)) | (~v22(constB154)) | v18(constB154))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26752,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB154)) | (~v22(constB154)) | v18(constB154)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26751, 26750])).
% 20.62/14.21 tff(26753,plain,
% 20.62/14.21 ((~v19(constB154)) | v18(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26752, 2654, 26749])).
% 20.62/14.21 tff(26754,plain,
% 20.62/14.21 (~v19(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26753, 26745])).
% 20.62/14.21 tff(26755,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26756,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26757,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26756, 26755])).
% 20.62/14.21 tff(26758,plain,
% 20.62/14.21 (v13(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26757, 2669, 26754])).
% 20.62/14.21 tff(26759,plain,
% 20.62/14.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26760,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26761,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB153, constB154)) | (~v13(constB154)) | v9(constB153)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26760, 26759])).
% 20.62/14.21 tff(26762,plain,
% 20.62/14.21 ((~v13(constB154)) | v9(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26761, 2686, 18651])).
% 20.62/14.21 tff(26763,plain,
% 20.62/14.21 (v9(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26762, 26758])).
% 20.62/14.21 tff(26764,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v141(constB153))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB153) | (~v9(constB153)) | v141(constB153))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26765,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v141(constB153))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26766,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB153) | (~v9(constB153)) | v141(constB153)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26765, 26764])).
% 20.62/14.21 tff(26767,plain,
% 20.62/14.21 ((~v9(constB153)) | v141(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26766, 22396, 18488])).
% 20.62/14.21 tff(26768,plain,
% 20.62/14.21 (v141(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26767, 26763])).
% 20.62/14.21 tff(26769,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB153) | (~v141(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB153) | (~v141(constB153)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26770,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB153) | (~v141(constB153)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26771,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB153) | (~v141(constB153))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26770, 26769])).
% 20.62/14.21 tff(26772,plain,
% 20.62/14.21 (v140(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26771, 22408, 26768])).
% 20.62/14.21 tff(26773,plain,
% 20.62/14.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB153)) | (~v155(constB153)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB153)) | (~v155(constB153)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26774,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB153)) | (~v155(constB153)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26775,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB153)) | (~v155(constB153))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26774, 26773])).
% 20.62/14.21 tff(26776,plain,
% 20.62/14.21 (~v155(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26775, 22552, 26772])).
% 20.62/14.21 tff(26777,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB153) | v155(constB153) | (~v150(constB153)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB153) | v155(constB153) | (~v150(constB153)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26778,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB153) | v155(constB153) | (~v150(constB153)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26779,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB153) | v155(constB153) | (~v150(constB153))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26778, 26777])).
% 20.62/14.21 tff(26780,plain,
% 20.62/14.21 (v153(constB153) | (~v150(constB153))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26779, 22566, 26776])).
% 20.62/14.21 tff(26781,plain,
% 20.62/14.21 (~v150(constB153)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26780, 26741])).
% 20.62/14.21 tff(26782,plain,
% 20.62/14.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26783,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26784,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26783, 26782])).
% 20.62/14.21 tff(26785,plain,
% 20.62/14.21 (v150(constB153) | (~v152(constB154))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26784, 22581, 18651])).
% 20.62/14.21 tff(26786,plain,
% 20.62/14.21 (~v152(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26785, 26781])).
% 20.62/14.21 tff(26787,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB154) | (~v155(constB154)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB154) | (~v155(constB154)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26788,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB154) | (~v155(constB154)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26789,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB154) | (~v155(constB154))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26788, 26787])).
% 20.62/14.21 tff(26790,plain,
% 20.62/14.21 (~v155(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26789, 22593, 26786])).
% 20.62/14.21 tff(26791,plain,
% 20.62/14.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB154)) | (~v141(constB154)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB154)) | (~v141(constB154)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26792,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB154)) | (~v141(constB154)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26793,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB154)) | (~v141(constB154))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26792, 26791])).
% 20.62/14.21 tff(26794,plain,
% 20.62/14.21 (~v141(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26793, 22474, 18705])).
% 20.62/14.21 tff(26795,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB154) | (~v154(constB154)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB154) | (~v154(constB154)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26796,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB154) | (~v154(constB154)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26797,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB154) | (~v154(constB154))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26796, 26795])).
% 20.62/14.21 tff(26798,plain,
% 20.62/14.21 (~v154(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26797, 22608, 26794])).
% 20.62/14.21 tff(26799,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB154) | (~v153(constB154)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB154) | (~v153(constB154)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26800,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB154) | (~v153(constB154)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26801,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB154) | (~v153(constB154))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26800, 26799])).
% 20.62/14.21 tff(26802,plain,
% 20.62/14.21 (~v153(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26801, 22619, 26798])).
% 20.62/14.21 tff(26803,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB154) | v155(constB154) | (~v150(constB154)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB154) | v155(constB154) | (~v150(constB154)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26804,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB154) | v155(constB154) | (~v150(constB154)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26805,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB154) | v155(constB154) | (~v150(constB154))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26804, 26803])).
% 20.62/14.21 tff(26806,plain,
% 20.62/14.21 (v155(constB154) | (~v150(constB154))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26805, 22566, 26802])).
% 20.62/14.21 tff(26807,plain,
% 20.62/14.21 (~v150(constB154)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26806, 26790])).
% 20.62/14.21 tff(26808,plain,
% 20.62/14.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26809,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26810,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26809, 26808])).
% 20.62/14.21 tff(26811,plain,
% 20.62/14.21 (v150(constB154) | (~v152(constB155))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26810, 22581, 18733])).
% 20.62/14.21 tff(26812,plain,
% 20.62/14.21 (~v152(constB155)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26811, 26807])).
% 20.62/14.21 tff(26813,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB155) | (~v164(constB155)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB155) | (~v164(constB155)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26814,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB155) | (~v164(constB155)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26815,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB155) | (~v164(constB155))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26814, 26813])).
% 20.62/14.21 tff(26816,plain,
% 20.62/14.21 (~v164(constB155)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26815, 22640, 26812])).
% 20.62/14.21 tff(26817,plain,
% 20.62/14.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB155)) | (~v163(constB155)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB155)) | (~v163(constB155)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26818,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB155)) | (~v163(constB155)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26819,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB155)) | (~v163(constB155))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26818, 26817])).
% 20.62/14.21 tff(26820,plain,
% 20.62/14.21 (~v163(constB155)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26819, 22781, 24906])).
% 20.62/14.21 tff(26821,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB155)) | v164(constB155) | v163(constB155))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB155)) | v164(constB155) | v163(constB155))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26822,plain,
% 20.62/14.21 ((v164(constB155) | v163(constB155) | (~v160(constB155))) <=> ((~v160(constB155)) | v164(constB155) | v163(constB155))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26823,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB155) | v163(constB155) | (~v160(constB155)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB155)) | v164(constB155) | v163(constB155)))),
% 20.62/14.21 inference(monotonicity,[status(thm)],[26822])).
% 20.62/14.21 tff(26824,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB155) | v163(constB155) | (~v160(constB155)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB155)) | v164(constB155) | v163(constB155))),
% 20.62/14.21 inference(transitivity,[status(thm)],[26823, 26821])).
% 20.62/14.21 tff(26825,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB155) | v163(constB155) | (~v160(constB155)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26826,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB155)) | v164(constB155) | v163(constB155)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 20.62/14.21 tff(26827,plain,
% 20.62/14.21 ((~v160(constB155)) | v164(constB155)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26826, 22795, 26820])).
% 20.62/14.21 tff(26828,plain,
% 20.62/14.21 (~v160(constB155)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26827, 26816])).
% 20.62/14.21 tff(26829,plain,
% 20.62/14.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26830,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26831,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB155, constB156)) | v160(constB155) | (~v162(constB156))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 20.62/14.21 tff(26832,plain,
% 20.62/14.21 (v160(constB155) | (~v162(constB156))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26831, 22813, 18848])).
% 20.62/14.21 tff(26833,plain,
% 20.62/14.21 (~v162(constB156)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26832, 26828])).
% 20.62/14.21 tff(26834,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB156) | (~v163(constB156)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB156) | (~v163(constB156)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26835,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB156) | (~v163(constB156)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26836,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB156) | (~v163(constB156))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26835, 26834])).
% 20.62/14.21 tff(26837,plain,
% 20.62/14.21 (~v163(constB156)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26836, 22825, 26833])).
% 20.62/14.21 tff(26838,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB156) | (~v154(constB156)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB156) | (~v154(constB156)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26839,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB156) | (~v154(constB156)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26840,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB156) | (~v154(constB156))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26839, 26838])).
% 20.62/14.21 tff(26841,plain,
% 20.62/14.21 (~v154(constB156)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26840, 22608, 24928])).
% 20.62/14.21 tff(26842,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB156) | (~v164(constB156)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB156) | (~v164(constB156)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26843,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB156) | (~v164(constB156)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26844,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB156) | (~v164(constB156))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26843, 26842])).
% 20.62/14.21 tff(26845,plain,
% 20.62/14.21 (~v164(constB156)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26844, 22836, 26841])).
% 20.62/14.21 tff(26846,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB156)) | v164(constB156) | v163(constB156))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB156)) | v164(constB156) | v163(constB156))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26847,plain,
% 20.62/14.21 ((v164(constB156) | v163(constB156) | (~v160(constB156))) <=> ((~v160(constB156)) | v164(constB156) | v163(constB156))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26848,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB156) | v163(constB156) | (~v160(constB156)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB156)) | v164(constB156) | v163(constB156)))),
% 20.62/14.21 inference(monotonicity,[status(thm)],[26847])).
% 20.62/14.21 tff(26849,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB156) | v163(constB156) | (~v160(constB156)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB156)) | v164(constB156) | v163(constB156))),
% 20.62/14.21 inference(transitivity,[status(thm)],[26848, 26846])).
% 20.62/14.21 tff(26850,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB156) | v163(constB156) | (~v160(constB156)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26851,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB156)) | v164(constB156) | v163(constB156)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26850, 26849])).
% 20.62/14.21 tff(26852,plain,
% 20.62/14.21 ((~v160(constB156)) | v163(constB156)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26851, 22795, 26845])).
% 20.62/14.21 tff(26853,plain,
% 20.62/14.21 (~v160(constB156)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26852, 26837])).
% 20.62/14.21 tff(26854,plain,
% 20.62/14.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26855,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26856,plain,
% 20.62/14.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB156, constB157)) | v160(constB156) | (~v162(constB157))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26855, 26854])).
% 20.62/14.21 tff(26857,plain,
% 20.62/14.21 (v160(constB156) | (~v162(constB157))),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26856, 22813, 18910])).
% 20.62/14.21 tff(26858,plain,
% 20.62/14.21 (~v162(constB157)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26857, 26853])).
% 20.62/14.21 tff(26859,plain,
% 20.62/14.21 ($false),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26858, 26651])).
% 20.62/14.21 tff(26860,plain,(~(constB157 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.21 tff(26861,assumption,(constB58 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.21 tff(26862,plain,
% 20.62/14.21 (v1(constB58) <=> v1(sK0_VarCurr)),
% 20.62/14.21 inference(monotonicity,[status(thm)],[26861])).
% 20.62/14.21 tff(26863,plain,
% 20.62/14.21 (v1(sK0_VarCurr) <=> v1(constB58)),
% 20.62/14.21 inference(symmetry,[status(thm)],[26862])).
% 20.62/14.21 tff(26864,plain,
% 20.62/14.21 ((~v1(sK0_VarCurr)) <=> (~v1(constB58))),
% 20.62/14.21 inference(monotonicity,[status(thm)],[26863])).
% 20.62/14.21 tff(26865,plain,
% 20.62/14.21 (~v1(constB58)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[23510, 26864])).
% 20.62/14.21 tff(26866,plain,
% 20.62/14.21 ($false),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[6667, 26865])).
% 20.62/14.21 tff(26867,plain,(~(constB58 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.21 tff(26868,assumption,(constB79 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.21 tff(26869,plain,
% 20.62/14.21 (v162(constB79) <=> v162(sK0_VarCurr)),
% 20.62/14.21 inference(monotonicity,[status(thm)],[26868])).
% 20.62/14.21 tff(26870,plain,
% 20.62/14.21 (v162(sK0_VarCurr) <=> v162(constB79)),
% 20.62/14.21 inference(symmetry,[status(thm)],[26869])).
% 20.62/14.21 tff(26871,plain,
% 20.62/14.21 (v162(constB79)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[22337, 26870])).
% 20.62/14.21 tff(26872,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB73) | (~v144(constB73)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB73) | (~v144(constB73)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26873,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB73) | (~v144(constB73)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26874,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB73) | (~v144(constB73))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26873, 26872])).
% 20.62/14.21 tff(26875,plain,
% 20.62/14.21 (~v144(constB73)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26874, 22349, 8110])).
% 20.62/14.21 tff(26876,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB73) | (~v142(constB73)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26877,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB73) | (~v142(constB73)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26878,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB73) | (~v142(constB73))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26877, 26876])).
% 20.62/14.21 tff(26879,plain,
% 20.62/14.21 (~v142(constB73)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26878, 22360, 26875])).
% 20.62/14.21 tff(26880,assumption,(v18(constB74)), introduced(assumption)).
% 20.62/14.21 tff(26881,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB74))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26882,plain,
% 20.62/14.21 ($false),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26881, 2627, 26880])).
% 20.62/14.21 tff(26883,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.21 tff(26884,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26885,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26886,plain,
% 20.62/14.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26885, 26884])).
% 20.62/14.21 tff(26887,plain,
% 20.62/14.21 (v22(constB74)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26886, 2640, 8231])).
% 20.62/14.21 tff(26888,plain,
% 20.62/14.21 (((~![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))),
% 20.62/14.21 inference(rewrite,[status(thm)],[])).
% 20.62/14.21 tff(26889,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB74)) | (~v22(constB74)) | v18(constB74))),
% 20.62/14.21 inference(quant_inst,[status(thm)],[])).
% 20.62/14.21 tff(26890,plain,
% 20.62/14.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB74)) | (~v22(constB74)) | v18(constB74)),
% 20.62/14.21 inference(modus_ponens,[status(thm)],[26889, 26888])).
% 20.62/14.21 tff(26891,plain,
% 20.62/14.21 ((~v19(constB74)) | v18(constB74)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26890, 2654, 26887])).
% 20.62/14.21 tff(26892,plain,
% 20.62/14.21 (~v19(constB74)),
% 20.62/14.21 inference(unit_resolution,[status(thm)],[26891, 26883])).
% 20.62/14.21 tff(26893,plain,
% 20.62/14.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26894,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26895,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26894, 26893])).
% 20.62/14.22 tff(26896,plain,
% 20.62/14.22 (v13(constB74)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26895, 2669, 26892])).
% 20.62/14.22 tff(26897,plain,
% 20.62/14.22 (((~![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))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26898,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26899,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB73, constB74)) | (~v13(constB74)) | v9(constB73)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26898, 26897])).
% 20.62/14.22 tff(26900,plain,
% 20.62/14.22 ((~v13(constB74)) | v9(constB73)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26899, 2686, 8132])).
% 20.62/14.22 tff(26901,plain,
% 20.62/14.22 (v9(constB73)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26900, 26896])).
% 20.62/14.22 tff(26902,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v141(constB73))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB73) | (~v9(constB73)) | v141(constB73))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26903,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v141(constB73))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26904,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB73) | (~v9(constB73)) | v141(constB73)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26903, 26902])).
% 20.62/14.22 tff(26905,plain,
% 20.62/14.22 ((~v9(constB73)) | v141(constB73)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26904, 22396, 8031])).
% 20.62/14.22 tff(26906,plain,
% 20.62/14.22 (v141(constB73)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26905, 26901])).
% 20.62/14.22 tff(26907,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB73) | (~v141(constB73)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB73) | (~v141(constB73)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26908,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB73) | (~v141(constB73)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26909,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB73) | (~v141(constB73))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26908, 26907])).
% 20.62/14.22 tff(26910,plain,
% 20.62/14.22 (v140(constB73)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26909, 22408, 26906])).
% 20.62/14.22 tff(26911,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB73)) | (~v138(constB73)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB73)) | (~v138(constB73)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26912,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB73)) | (~v138(constB73)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26913,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB73)) | (~v138(constB73))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26912, 26911])).
% 20.62/14.22 tff(26914,plain,
% 20.62/14.22 (~v138(constB73)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26913, 22419, 26910])).
% 20.62/14.22 tff(26915,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB73) | v142(constB73) | (~v135(constB73)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB73) | v142(constB73) | (~v135(constB73)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26916,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB73) | v142(constB73) | (~v135(constB73)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26917,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB73) | v142(constB73) | (~v135(constB73))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26916, 26915])).
% 20.62/14.22 tff(26918,plain,
% 20.62/14.22 (v142(constB73) | (~v135(constB73))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26917, 22436, 26914])).
% 20.62/14.22 tff(26919,plain,
% 20.62/14.22 (~v135(constB73)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26918, 26879])).
% 20.62/14.22 tff(26920,plain,
% 20.62/14.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB73, constB74)) | v135(constB73) | (~v137(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB73, constB74)) | v135(constB73) | (~v137(constB74)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26921,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB73, constB74)) | v135(constB73) | (~v137(constB74)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26922,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB73, constB74)) | v135(constB73) | (~v137(constB74))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26921, 26920])).
% 20.62/14.22 tff(26923,plain,
% 20.62/14.22 (v135(constB73) | (~v137(constB74))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26922, 22451, 8132])).
% 20.62/14.22 tff(26924,plain,
% 20.62/14.22 (~v137(constB74)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26923, 26919])).
% 20.62/14.22 tff(26925,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB74) | (~v138(constB74)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB74) | (~v138(constB74)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26926,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB74) | (~v138(constB74)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26927,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB74) | (~v138(constB74))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 20.62/14.22 tff(26928,plain,
% 20.62/14.22 (~v138(constB74)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26927, 22463, 26924])).
% 20.62/14.22 tff(26929,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB74)) | (~v141(constB74)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB74)) | (~v141(constB74)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26930,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB74)) | (~v141(constB74)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26931,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB74)) | (~v141(constB74))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26930, 26929])).
% 20.62/14.22 tff(26932,plain,
% 20.62/14.22 (~v141(constB74)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26931, 22474, 8231])).
% 20.62/14.22 tff(26933,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB74) | (~v144(constB74)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB74) | (~v144(constB74)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26934,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB74) | (~v144(constB74)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26935,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB74) | (~v144(constB74))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 20.62/14.22 tff(26936,plain,
% 20.62/14.22 (~v144(constB74)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26935, 22485, 26932])).
% 20.62/14.22 tff(26937,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB74) | (~v142(constB74)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB74) | (~v142(constB74)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26938,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB74) | (~v142(constB74)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26939,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB74) | (~v142(constB74))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26938, 26937])).
% 20.62/14.22 tff(26940,plain,
% 20.62/14.22 (~v142(constB74)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26939, 22360, 26936])).
% 20.62/14.22 tff(26941,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB74) | v142(constB74) | (~v135(constB74)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB74) | v142(constB74) | (~v135(constB74)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26942,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB74) | v142(constB74) | (~v135(constB74)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26943,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB74) | v142(constB74) | (~v135(constB74))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26942, 26941])).
% 20.62/14.22 tff(26944,plain,
% 20.62/14.22 (v138(constB74) | (~v135(constB74))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26943, 22436, 26940])).
% 20.62/14.22 tff(26945,plain,
% 20.62/14.22 (~v135(constB74)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26944, 26928])).
% 20.62/14.22 tff(26946,plain,
% 20.62/14.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB74, constB75)) | v135(constB74) | (~v137(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB74, constB75)) | v135(constB74) | (~v137(constB75)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26947,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB74, constB75)) | v135(constB74) | (~v137(constB75)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26948,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB74, constB75)) | v135(constB74) | (~v137(constB75))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26947, 26946])).
% 20.62/14.22 tff(26949,plain,
% 20.62/14.22 (v135(constB74) | (~v137(constB75))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26948, 22451, 8367])).
% 20.62/14.22 tff(26950,plain,
% 20.62/14.22 (~v137(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26949, 26945])).
% 20.62/14.22 tff(26951,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB75) | (~v153(constB75)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB75) | (~v153(constB75)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26952,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB75) | (~v153(constB75)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26953,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB75) | (~v153(constB75))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26952, 26951])).
% 20.62/14.22 tff(26954,plain,
% 20.62/14.22 (~v153(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26953, 22510, 26950])).
% 20.62/14.22 tff(26955,assumption,(v18(constB76)), introduced(assumption)).
% 20.62/14.22 tff(26956,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB76))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26957,plain,
% 20.62/14.22 ($false),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26956, 2627, 26955])).
% 20.62/14.22 tff(26958,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.22 tff(26959,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26960,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26961,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26960, 26959])).
% 20.62/14.22 tff(26962,plain,
% 20.62/14.22 (v22(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26961, 2640, 8546])).
% 20.62/14.22 tff(26963,plain,
% 20.62/14.22 (((~![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))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26964,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB76)) | (~v22(constB76)) | v18(constB76))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26965,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB76)) | (~v22(constB76)) | v18(constB76)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26964, 26963])).
% 20.62/14.22 tff(26966,plain,
% 20.62/14.22 ((~v19(constB76)) | v18(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26965, 2654, 26962])).
% 20.62/14.22 tff(26967,plain,
% 20.62/14.22 (~v19(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26966, 26958])).
% 20.62/14.22 tff(26968,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26969,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26970,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26969, 26968])).
% 20.62/14.22 tff(26971,plain,
% 20.62/14.22 (v13(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26970, 2669, 26967])).
% 20.62/14.22 tff(26972,plain,
% 20.62/14.22 (((~![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))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26973,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26974,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB75, constB76)) | (~v13(constB76)) | v9(constB75)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26973, 26972])).
% 20.62/14.22 tff(26975,plain,
% 20.62/14.22 ((~v13(constB76)) | v9(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26974, 2686, 8392])).
% 20.62/14.22 tff(26976,plain,
% 20.62/14.22 (v9(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26975, 26971])).
% 20.62/14.22 tff(26977,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v141(constB75))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB75) | (~v9(constB75)) | v141(constB75))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26978,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v141(constB75))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26979,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB75) | (~v9(constB75)) | v141(constB75)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26978, 26977])).
% 20.62/14.22 tff(26980,plain,
% 20.62/14.22 ((~v9(constB75)) | v141(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26979, 22396, 8364])).
% 20.62/14.22 tff(26981,plain,
% 20.62/14.22 (v141(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26980, 26976])).
% 20.62/14.22 tff(26982,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB75) | (~v141(constB75)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB75) | (~v141(constB75)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26983,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB75) | (~v141(constB75)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26984,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB75) | (~v141(constB75))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26983, 26982])).
% 20.62/14.22 tff(26985,plain,
% 20.62/14.22 (v140(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26984, 22408, 26981])).
% 20.62/14.22 tff(26986,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB75)) | (~v155(constB75)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB75)) | (~v155(constB75)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26987,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB75)) | (~v155(constB75)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26988,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB75)) | (~v155(constB75))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26987, 26986])).
% 20.62/14.22 tff(26989,plain,
% 20.62/14.22 (~v155(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26988, 22552, 26985])).
% 20.62/14.22 tff(26990,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB75) | v155(constB75) | (~v150(constB75)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB75) | v155(constB75) | (~v150(constB75)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26991,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB75) | v155(constB75) | (~v150(constB75)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26992,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB75) | v155(constB75) | (~v150(constB75))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26991, 26990])).
% 20.62/14.22 tff(26993,plain,
% 20.62/14.22 (v153(constB75) | (~v150(constB75))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26992, 22566, 26989])).
% 20.62/14.22 tff(26994,plain,
% 20.62/14.22 (~v150(constB75)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26993, 26954])).
% 20.62/14.22 tff(26995,plain,
% 20.62/14.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB75, constB76)) | v150(constB75) | (~v152(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB75, constB76)) | v150(constB75) | (~v152(constB76)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(26996,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB75, constB76)) | v150(constB75) | (~v152(constB76)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(26997,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB75, constB76)) | v150(constB75) | (~v152(constB76))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[26996, 26995])).
% 20.62/14.22 tff(26998,plain,
% 20.62/14.22 (v150(constB75) | (~v152(constB76))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26997, 22581, 8392])).
% 20.62/14.22 tff(26999,plain,
% 20.62/14.22 (~v152(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[26998, 26994])).
% 20.62/14.22 tff(27000,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB76) | (~v155(constB76)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB76) | (~v155(constB76)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27001,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB76) | (~v155(constB76)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27002,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB76) | (~v155(constB76))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27001, 27000])).
% 20.62/14.22 tff(27003,plain,
% 20.62/14.22 (~v155(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27002, 22593, 26999])).
% 20.62/14.22 tff(27004,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB76)) | (~v141(constB76)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB76)) | (~v141(constB76)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27005,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB76)) | (~v141(constB76)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27006,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB76)) | (~v141(constB76))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27005, 27004])).
% 20.62/14.22 tff(27007,plain,
% 20.62/14.22 (~v141(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27006, 22474, 8546])).
% 20.62/14.22 tff(27008,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB76) | (~v154(constB76)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB76) | (~v154(constB76)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27009,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB76) | (~v154(constB76)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27010,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB76) | (~v154(constB76))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27009, 27008])).
% 20.62/14.22 tff(27011,plain,
% 20.62/14.22 (~v154(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27010, 22608, 27007])).
% 20.62/14.22 tff(27012,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB76) | (~v153(constB76)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB76) | (~v153(constB76)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27013,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB76) | (~v153(constB76)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27014,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB76) | (~v153(constB76))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27013, 27012])).
% 20.62/14.22 tff(27015,plain,
% 20.62/14.22 (~v153(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27014, 22619, 27011])).
% 20.62/14.22 tff(27016,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB76) | v155(constB76) | (~v150(constB76)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB76) | v155(constB76) | (~v150(constB76)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27017,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB76) | v155(constB76) | (~v150(constB76)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27018,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB76) | v155(constB76) | (~v150(constB76))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27017, 27016])).
% 20.62/14.22 tff(27019,plain,
% 20.62/14.22 (v155(constB76) | (~v150(constB76))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27018, 22566, 27015])).
% 20.62/14.22 tff(27020,plain,
% 20.62/14.22 (~v150(constB76)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27019, 27003])).
% 20.62/14.22 tff(27021,plain,
% 20.62/14.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB76, constB77)) | v150(constB76) | (~v152(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB76, constB77)) | v150(constB76) | (~v152(constB77)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27022,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB76, constB77)) | v150(constB76) | (~v152(constB77)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27023,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB76, constB77)) | v150(constB76) | (~v152(constB77))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27022, 27021])).
% 20.62/14.22 tff(27024,plain,
% 20.62/14.22 (v150(constB76) | (~v152(constB77))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27023, 22581, 8668])).
% 20.62/14.22 tff(27025,plain,
% 20.62/14.22 (~v152(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27024, 27020])).
% 20.62/14.22 tff(27026,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB77) | (~v164(constB77)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB77) | (~v164(constB77)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27027,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB77) | (~v164(constB77)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27028,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB77) | (~v164(constB77))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27027, 27026])).
% 20.62/14.22 tff(27029,plain,
% 20.62/14.22 (~v164(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27028, 22640, 27025])).
% 20.62/14.22 tff(27030,assumption,(v18(constB78)), introduced(assumption)).
% 20.62/14.22 tff(27031,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB78))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27032,plain,
% 20.62/14.22 ($false),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27031, 2627, 27030])).
% 20.62/14.22 tff(27033,plain,(~v18(constB78)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.22 tff(27034,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27035,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27036,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27035, 27034])).
% 20.62/14.22 tff(27037,plain,
% 20.62/14.22 (v22(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27036, 2640, 8846])).
% 20.62/14.22 tff(27038,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB78)) | (~v22(constB78)) | v18(constB78))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB78)) | (~v22(constB78)) | v18(constB78))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27039,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB78)) | (~v22(constB78)) | v18(constB78))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27040,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB78)) | (~v22(constB78)) | v18(constB78)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27039, 27038])).
% 20.62/14.22 tff(27041,plain,
% 20.62/14.22 ((~v19(constB78)) | v18(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27040, 2654, 27037])).
% 20.62/14.22 tff(27042,plain,
% 20.62/14.22 (~v19(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27041, 27033])).
% 20.62/14.22 tff(27043,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27044,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27045,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27044, 27043])).
% 20.62/14.22 tff(27046,plain,
% 20.62/14.22 (v13(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27045, 2669, 27042])).
% 20.62/14.22 tff(27047,plain,
% 20.62/14.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB77, constB78)) | (~v13(constB78)) | v9(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB77, constB78)) | (~v13(constB78)) | v9(constB77))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27048,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB77, constB78)) | (~v13(constB78)) | v9(constB77))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27049,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB77, constB78)) | (~v13(constB78)) | v9(constB77)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27048, 27047])).
% 20.62/14.22 tff(27050,plain,
% 20.62/14.22 ((~v13(constB78)) | v9(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27049, 2686, 8826])).
% 20.62/14.22 tff(27051,plain,
% 20.62/14.22 (v9(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27050, 27046])).
% 20.62/14.22 tff(27052,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v141(constB77))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB77) | (~v9(constB77)) | v141(constB77))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27053,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v141(constB77))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27054,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB77) | (~v9(constB77)) | v141(constB77)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27053, 27052])).
% 20.62/14.22 tff(27055,plain,
% 20.62/14.22 ((~v9(constB77)) | v141(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27054, 22396, 8665])).
% 20.62/14.22 tff(27056,plain,
% 20.62/14.22 (v141(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27055, 27051])).
% 20.62/14.22 tff(27057,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB77) | (~v141(constB77)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB77) | (~v141(constB77)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27058,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB77) | (~v141(constB77)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27059,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB77) | (~v141(constB77))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27058, 27057])).
% 20.62/14.22 tff(27060,plain,
% 20.62/14.22 (v140(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27059, 22408, 27056])).
% 20.62/14.22 tff(27061,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB77)) | (~v163(constB77)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB77)) | (~v163(constB77)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27062,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB77)) | (~v163(constB77)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27063,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB77)) | (~v163(constB77))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27062, 27061])).
% 20.62/14.22 tff(27064,plain,
% 20.62/14.22 (~v163(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27063, 22781, 27060])).
% 20.62/14.22 tff(27065,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB77)) | v164(constB77) | v163(constB77))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB77)) | v164(constB77) | v163(constB77))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27066,plain,
% 20.62/14.22 ((v164(constB77) | v163(constB77) | (~v160(constB77))) <=> ((~v160(constB77)) | v164(constB77) | v163(constB77))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27067,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB77) | v163(constB77) | (~v160(constB77)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB77)) | v164(constB77) | v163(constB77)))),
% 20.62/14.22 inference(monotonicity,[status(thm)],[27066])).
% 20.62/14.22 tff(27068,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB77) | v163(constB77) | (~v160(constB77)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB77)) | v164(constB77) | v163(constB77))),
% 20.62/14.22 inference(transitivity,[status(thm)],[27067, 27065])).
% 20.62/14.22 tff(27069,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB77) | v163(constB77) | (~v160(constB77)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27070,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB77)) | v164(constB77) | v163(constB77)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27069, 27068])).
% 20.62/14.22 tff(27071,plain,
% 20.62/14.22 ((~v160(constB77)) | v164(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27070, 22795, 27064])).
% 20.62/14.22 tff(27072,plain,
% 20.62/14.22 (~v160(constB77)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27071, 27029])).
% 20.62/14.22 tff(27073,plain,
% 20.62/14.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB77, constB78)) | v160(constB77) | (~v162(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB77, constB78)) | v160(constB77) | (~v162(constB78)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27074,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB77, constB78)) | v160(constB77) | (~v162(constB78)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27075,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB77, constB78)) | v160(constB77) | (~v162(constB78))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27074, 27073])).
% 20.62/14.22 tff(27076,plain,
% 20.62/14.22 (v160(constB77) | (~v162(constB78))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27075, 22813, 8826])).
% 20.62/14.22 tff(27077,plain,
% 20.62/14.22 (~v162(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27076, 27072])).
% 20.62/14.22 tff(27078,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB78) | (~v163(constB78)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB78) | (~v163(constB78)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27079,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB78) | (~v163(constB78)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27080,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB78) | (~v163(constB78))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27079, 27078])).
% 20.62/14.22 tff(27081,plain,
% 20.62/14.22 (~v163(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27080, 22825, 27077])).
% 20.62/14.22 tff(27082,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB78)) | (~v141(constB78)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB78)) | (~v141(constB78)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27083,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB78)) | (~v141(constB78)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27084,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB78)) | (~v141(constB78))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27083, 27082])).
% 20.62/14.22 tff(27085,plain,
% 20.62/14.22 (~v141(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27084, 22474, 8846])).
% 20.62/14.22 tff(27086,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB78) | (~v154(constB78)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB78) | (~v154(constB78)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27087,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB78) | (~v154(constB78)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27088,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB78) | (~v154(constB78))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27087, 27086])).
% 20.62/14.22 tff(27089,plain,
% 20.62/14.22 (~v154(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27088, 22608, 27085])).
% 20.62/14.22 tff(27090,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB78) | (~v164(constB78)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB78) | (~v164(constB78)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27091,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB78) | (~v164(constB78)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27092,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB78) | (~v164(constB78))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27091, 27090])).
% 20.62/14.22 tff(27093,plain,
% 20.62/14.22 (~v164(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27092, 22836, 27089])).
% 20.62/14.22 tff(27094,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB78)) | v164(constB78) | v163(constB78))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB78)) | v164(constB78) | v163(constB78))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27095,plain,
% 20.62/14.22 ((v164(constB78) | v163(constB78) | (~v160(constB78))) <=> ((~v160(constB78)) | v164(constB78) | v163(constB78))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27096,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB78) | v163(constB78) | (~v160(constB78)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB78)) | v164(constB78) | v163(constB78)))),
% 20.62/14.22 inference(monotonicity,[status(thm)],[27095])).
% 20.62/14.22 tff(27097,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB78) | v163(constB78) | (~v160(constB78)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB78)) | v164(constB78) | v163(constB78))),
% 20.62/14.22 inference(transitivity,[status(thm)],[27096, 27094])).
% 20.62/14.22 tff(27098,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB78) | v163(constB78) | (~v160(constB78)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27099,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB78)) | v164(constB78) | v163(constB78)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27098, 27097])).
% 20.62/14.22 tff(27100,plain,
% 20.62/14.22 ((~v160(constB78)) | v163(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27099, 22795, 27093])).
% 20.62/14.22 tff(27101,plain,
% 20.62/14.22 (~v160(constB78)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27100, 27081])).
% 20.62/14.22 tff(27102,plain,
% 20.62/14.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB78, constB79)) | v160(constB78) | (~v162(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB78, constB79)) | v160(constB78) | (~v162(constB79)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27103,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB78, constB79)) | v160(constB78) | (~v162(constB79)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27104,plain,
% 20.62/14.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB78, constB79)) | v160(constB78) | (~v162(constB79))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27103, 27102])).
% 20.62/14.22 tff(27105,plain,
% 20.62/14.22 (v160(constB78) | (~v162(constB79))),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27104, 22813, 8891])).
% 20.62/14.22 tff(27106,plain,
% 20.62/14.22 (~v162(constB79)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27105, 27101])).
% 20.62/14.22 tff(27107,plain,
% 20.62/14.22 ($false),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27106, 26871])).
% 20.62/14.22 tff(27108,plain,(~(constB79 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.22 tff(27109,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.22 tff(27110,plain,
% 20.62/14.22 (v162(constB135) <=> v162(sK0_VarCurr)),
% 20.62/14.22 inference(monotonicity,[status(thm)],[27109])).
% 20.62/14.22 tff(27111,plain,
% 20.62/14.22 (v162(sK0_VarCurr) <=> v162(constB135)),
% 20.62/14.22 inference(symmetry,[status(thm)],[27110])).
% 20.62/14.22 tff(27112,plain,
% 20.62/14.22 (v162(constB135)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[22337, 27111])).
% 20.62/14.22 tff(27113,plain,
% 20.62/14.22 ($false),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[25408, 27112])).
% 20.62/14.22 tff(27114,plain,(~(constB135 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.22 tff(27115,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.22 tff(27116,plain,
% 20.62/14.22 (v162(constB139) <=> v162(sK0_VarCurr)),
% 20.62/14.22 inference(monotonicity,[status(thm)],[27115])).
% 20.62/14.22 tff(27117,plain,
% 20.62/14.22 (v162(sK0_VarCurr) <=> v162(constB139)),
% 20.62/14.22 inference(symmetry,[status(thm)],[27116])).
% 20.62/14.22 tff(27118,plain,
% 20.62/14.22 (v162(constB139)),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[22337, 27117])).
% 20.62/14.22 tff(27119,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB133) | (~v144(constB133)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB133) | (~v144(constB133)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27120,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB133) | (~v144(constB133)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27121,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB133) | (~v144(constB133))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 20.62/14.22 tff(27122,plain,
% 20.62/14.22 (~v144(constB133)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27121, 22349, 16602])).
% 20.62/14.22 tff(27123,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB133) | (~v142(constB133)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27124,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB133) | (~v142(constB133)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27125,plain,
% 20.62/14.22 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB133) | (~v142(constB133))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27124, 27123])).
% 20.62/14.22 tff(27126,plain,
% 20.62/14.22 (~v142(constB133)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27125, 22360, 27122])).
% 20.62/14.22 tff(27127,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB133)) | (~v140(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB133)) | (~v140(constB133)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27128,plain,
% 20.62/14.22 (((~v140(constB133)) | (~v138(constB133))) <=> ((~v138(constB133)) | (~v140(constB133)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.22 tff(27129,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB133)) | (~v138(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB133)) | (~v140(constB133))))),
% 20.62/14.22 inference(monotonicity,[status(thm)],[27128])).
% 20.62/14.22 tff(27130,plain,
% 20.62/14.22 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB133)) | (~v138(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB133)) | (~v140(constB133)))),
% 20.62/14.22 inference(transitivity,[status(thm)],[27129, 27127])).
% 20.62/14.22 tff(27131,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB133)) | (~v138(constB133)))),
% 20.62/14.22 inference(quant_inst,[status(thm)],[])).
% 20.62/14.22 tff(27132,plain,
% 20.62/14.22 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB133)) | (~v140(constB133))),
% 20.62/14.22 inference(modus_ponens,[status(thm)],[27131, 27130])).
% 20.62/14.22 tff(27133,plain,
% 20.62/14.22 (~v138(constB133)),
% 20.62/14.22 inference(unit_resolution,[status(thm)],[27132, 22419, 25199])).
% 20.62/14.22 tff(27134,plain,
% 20.62/14.22 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB133) | v142(constB133) | (~v135(constB133)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB133) | v142(constB133) | (~v135(constB133)))),
% 20.62/14.22 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27135,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB133) | v142(constB133) | (~v135(constB133)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27136,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB133) | v142(constB133) | (~v135(constB133))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27135, 27134])).
% 20.62/14.23 tff(27137,plain,
% 20.62/14.23 (v142(constB133) | (~v135(constB133))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27136, 22436, 27133])).
% 20.62/14.23 tff(27138,plain,
% 20.62/14.23 (~v135(constB133)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27137, 27126])).
% 20.62/14.23 tff(27139,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27140,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27141,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27140, 27139])).
% 20.62/14.23 tff(27142,plain,
% 20.62/14.23 (v135(constB133) | (~v137(constB134))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27141, 22451, 16468])).
% 20.62/14.23 tff(27143,plain,
% 20.62/14.23 (~v137(constB134)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27142, 27138])).
% 20.62/14.23 tff(27144,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB134) | (~v138(constB134)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB134) | (~v138(constB134)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27145,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB134) | (~v138(constB134)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27146,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB134) | (~v138(constB134))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27145, 27144])).
% 20.62/14.23 tff(27147,plain,
% 20.62/14.23 (~v138(constB134)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27146, 22463, 27143])).
% 20.62/14.23 tff(27148,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB134) | (~v144(constB134)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB134) | (~v144(constB134)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27149,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB134) | (~v144(constB134)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27150,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB134) | (~v144(constB134))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27149, 27148])).
% 20.62/14.23 tff(27151,plain,
% 20.62/14.23 (~v144(constB134)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27150, 22485, 25221])).
% 20.62/14.23 tff(27152,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB134) | (~v142(constB134)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB134) | (~v142(constB134)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27153,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB134) | (~v142(constB134)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27154,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB134) | (~v142(constB134))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27153, 27152])).
% 20.62/14.23 tff(27155,plain,
% 20.62/14.23 (~v142(constB134)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27154, 22360, 27151])).
% 20.62/14.23 tff(27156,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB134) | v142(constB134) | (~v135(constB134)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB134) | v142(constB134) | (~v135(constB134)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27157,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB134) | v142(constB134) | (~v135(constB134)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27158,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB134) | v142(constB134) | (~v135(constB134))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27157, 27156])).
% 20.62/14.23 tff(27159,plain,
% 20.62/14.23 (v138(constB134) | (~v135(constB134))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27158, 22436, 27155])).
% 20.62/14.23 tff(27160,plain,
% 20.62/14.23 (~v135(constB134)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27159, 27147])).
% 20.62/14.23 tff(27161,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27162,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27163,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27162, 27161])).
% 20.62/14.23 tff(27164,plain,
% 20.62/14.23 (v135(constB134) | (~v137(constB135))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27163, 22451, 16636])).
% 20.62/14.23 tff(27165,plain,
% 20.62/14.23 (~v137(constB135)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27164, 27160])).
% 20.62/14.23 tff(27166,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB135) | (~v153(constB135)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB135) | (~v153(constB135)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27167,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB135) | (~v153(constB135)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27168,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB135) | (~v153(constB135))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27167, 27166])).
% 20.62/14.23 tff(27169,plain,
% 20.62/14.23 (~v153(constB135)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27168, 22510, 27165])).
% 20.62/14.23 tff(27170,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB135) | (~v155(constB135)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB135) | (~v155(constB135)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27171,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB135) | (~v155(constB135)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27172,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB135) | (~v155(constB135))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27171, 27170])).
% 20.62/14.23 tff(27173,plain,
% 20.62/14.23 (~v155(constB135)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27172, 22593, 25239])).
% 20.62/14.23 tff(27174,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB135) | v155(constB135) | (~v150(constB135)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB135) | v155(constB135) | (~v150(constB135)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27175,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB135) | v155(constB135) | (~v150(constB135)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27176,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB135) | v155(constB135) | (~v150(constB135))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27175, 27174])).
% 20.62/14.23 tff(27177,plain,
% 20.62/14.23 (v153(constB135) | (~v150(constB135))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27176, 22566, 27173])).
% 20.62/14.23 tff(27178,plain,
% 20.62/14.23 (~v150(constB135)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27177, 27169])).
% 20.62/14.23 tff(27179,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27180,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27181,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27180, 27179])).
% 20.62/14.23 tff(27182,plain,
% 20.62/14.23 (v150(constB135) | (~v152(constB136))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27181, 22581, 16768])).
% 20.62/14.23 tff(27183,plain,
% 20.62/14.23 (~v152(constB136)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27182, 27178])).
% 20.62/14.23 tff(27184,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB136) | (~v155(constB136)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB136) | (~v155(constB136)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27185,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB136) | (~v155(constB136)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27186,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB136) | (~v155(constB136))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27185, 27184])).
% 20.62/14.23 tff(27187,plain,
% 20.62/14.23 (~v155(constB136)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27186, 22593, 27183])).
% 20.62/14.23 tff(27188,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB136) | (~v153(constB136)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB136) | (~v153(constB136)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27189,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB136) | (~v153(constB136)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27190,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB136) | (~v153(constB136))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27189, 27188])).
% 20.62/14.23 tff(27191,plain,
% 20.62/14.23 (~v153(constB136)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27190, 22619, 25437])).
% 20.62/14.23 tff(27192,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB136) | v155(constB136) | (~v150(constB136)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB136) | v155(constB136) | (~v150(constB136)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27193,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB136) | v155(constB136) | (~v150(constB136)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27194,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB136) | v155(constB136) | (~v150(constB136))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27193, 27192])).
% 20.62/14.23 tff(27195,plain,
% 20.62/14.23 (v155(constB136) | (~v150(constB136))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27194, 22566, 27191])).
% 20.62/14.23 tff(27196,plain,
% 20.62/14.23 (~v150(constB136)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27195, 27187])).
% 20.62/14.23 tff(27197,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27198,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27199,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27198, 27197])).
% 20.62/14.23 tff(27200,plain,
% 20.62/14.23 (v150(constB136) | (~v152(constB137))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27199, 22581, 16833])).
% 20.62/14.23 tff(27201,plain,
% 20.62/14.23 (~v152(constB137)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27200, 27196])).
% 20.62/14.23 tff(27202,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB137) | (~v164(constB137)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB137) | (~v164(constB137)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27203,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB137) | (~v164(constB137)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27204,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB137) | (~v164(constB137))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27203, 27202])).
% 20.62/14.23 tff(27205,plain,
% 20.62/14.23 (~v164(constB137)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27204, 22640, 27201])).
% 20.62/14.23 tff(27206,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB137) | (~v163(constB137)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB137) | (~v163(constB137)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27207,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB137) | (~v163(constB137)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27208,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB137) | (~v163(constB137))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27207, 27206])).
% 20.62/14.23 tff(27209,plain,
% 20.62/14.23 (~v163(constB137)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27208, 22825, 25454])).
% 20.62/14.23 tff(27210,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB137)) | v163(constB137) | v164(constB137))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB137)) | v163(constB137) | v164(constB137))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27211,plain,
% 20.62/14.23 ((v164(constB137) | v163(constB137) | (~v160(constB137))) <=> ((~v160(constB137)) | v163(constB137) | v164(constB137))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27212,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB137) | v163(constB137) | (~v160(constB137)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB137)) | v163(constB137) | v164(constB137)))),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27211])).
% 20.62/14.23 tff(27213,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB137) | v163(constB137) | (~v160(constB137)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB137)) | v163(constB137) | v164(constB137))),
% 20.62/14.23 inference(transitivity,[status(thm)],[27212, 27210])).
% 20.62/14.23 tff(27214,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB137) | v163(constB137) | (~v160(constB137)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27215,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB137)) | v163(constB137) | v164(constB137)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27214, 27213])).
% 20.62/14.23 tff(27216,plain,
% 20.62/14.23 ((~v160(constB137)) | v164(constB137)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27215, 22795, 27209])).
% 20.62/14.23 tff(27217,plain,
% 20.62/14.23 (~v160(constB137)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27216, 27205])).
% 20.62/14.23 tff(27218,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27219,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27220,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27219, 27218])).
% 20.62/14.23 tff(27221,plain,
% 20.62/14.23 (v160(constB137) | (~v162(constB138))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27220, 22813, 16955])).
% 20.62/14.23 tff(27222,plain,
% 20.62/14.23 (~v162(constB138)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27221, 27217])).
% 20.62/14.23 tff(27223,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB138) | (~v163(constB138)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB138) | (~v163(constB138)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27224,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB138) | (~v163(constB138)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27225,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB138) | (~v163(constB138))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27224, 27223])).
% 20.62/14.23 tff(27226,plain,
% 20.62/14.23 (~v163(constB138)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27225, 22825, 27222])).
% 20.62/14.23 tff(27227,plain,
% 20.62/14.23 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB138)) | (~v141(constB138)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB138)) | (~v141(constB138)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27228,plain,
% 20.62/14.23 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB138)) | (~v141(constB138)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27229,plain,
% 20.62/14.23 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB138)) | (~v141(constB138))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27228, 27227])).
% 20.62/14.23 tff(27230,plain,
% 20.62/14.23 (~v141(constB138)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27229, 22474, 16975])).
% 20.62/14.23 tff(27231,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB138) | (~v154(constB138)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB138) | (~v154(constB138)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27232,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB138) | (~v154(constB138)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27233,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB138) | (~v154(constB138))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27232, 27231])).
% 20.62/14.23 tff(27234,plain,
% 20.62/14.23 (~v154(constB138)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27233, 22608, 27230])).
% 20.62/14.23 tff(27235,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB138) | (~v164(constB138)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB138) | (~v164(constB138)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27236,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB138) | (~v164(constB138)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27237,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB138) | (~v164(constB138))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27236, 27235])).
% 20.62/14.23 tff(27238,plain,
% 20.62/14.23 (~v164(constB138)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27237, 22836, 27234])).
% 20.62/14.23 tff(27239,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB138)) | v164(constB138) | v163(constB138))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB138)) | v164(constB138) | v163(constB138))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27240,plain,
% 20.62/14.23 ((v164(constB138) | v163(constB138) | (~v160(constB138))) <=> ((~v160(constB138)) | v164(constB138) | v163(constB138))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27241,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB138) | v163(constB138) | (~v160(constB138)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB138)) | v164(constB138) | v163(constB138)))),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27240])).
% 20.62/14.23 tff(27242,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB138) | v163(constB138) | (~v160(constB138)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB138)) | v164(constB138) | v163(constB138))),
% 20.62/14.23 inference(transitivity,[status(thm)],[27241, 27239])).
% 20.62/14.23 tff(27243,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB138) | v163(constB138) | (~v160(constB138)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27244,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB138)) | v164(constB138) | v163(constB138)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27243, 27242])).
% 20.62/14.23 tff(27245,plain,
% 20.62/14.23 ((~v160(constB138)) | v163(constB138)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27244, 22795, 27238])).
% 20.62/14.23 tff(27246,plain,
% 20.62/14.23 (~v160(constB138)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27245, 27226])).
% 20.62/14.23 tff(27247,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27248,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27249,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27248, 27247])).
% 20.62/14.23 tff(27250,plain,
% 20.62/14.23 (v160(constB138) | (~v162(constB139))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27249, 22813, 17020])).
% 20.62/14.23 tff(27251,plain,
% 20.62/14.23 (~v162(constB139)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27250, 27246])).
% 20.62/14.23 tff(27252,plain,
% 20.62/14.23 ($false),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27251, 27118])).
% 20.62/14.23 tff(27253,plain,(~(constB139 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.23 tff(27254,assumption,(constB28 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.23 tff(27255,plain,
% 20.62/14.23 (v1(constB28) <=> v1(sK0_VarCurr)),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27254])).
% 20.62/14.23 tff(27256,plain,
% 20.62/14.23 (v1(sK0_VarCurr) <=> v1(constB28)),
% 20.62/14.23 inference(symmetry,[status(thm)],[27255])).
% 20.62/14.23 tff(27257,plain,
% 20.62/14.23 ((~v1(sK0_VarCurr)) <=> (~v1(constB28))),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27256])).
% 20.62/14.23 tff(27258,plain,
% 20.62/14.23 (~v1(constB28)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[23510, 27257])).
% 20.62/14.23 tff(27259,plain,
% 20.62/14.23 ($false),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[3620, 27258])).
% 20.62/14.23 tff(27260,plain,(~(constB28 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.23 tff(27261,assumption,(constB1 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.23 tff(27262,plain,
% 20.62/14.23 (v162(constB1) <=> v162(sK0_VarCurr)),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27261])).
% 20.62/14.23 tff(27263,plain,
% 20.62/14.23 (v162(sK0_VarCurr) <=> v162(constB1)),
% 20.62/14.23 inference(symmetry,[status(thm)],[27262])).
% 20.62/14.23 tff(27264,plain,
% 20.62/14.23 (v162(constB1)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[22337, 27263])).
% 20.62/14.23 tff(27265,plain,
% 20.62/14.23 ((~v162(constB0)) <=> (~v162(constB0))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27266,axiom,(~v162(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 20.62/14.23 tff(27267,plain,
% 20.62/14.23 (~v162(constB0)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27266, 27265])).
% 20.62/14.23 tff(27268,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB0) | (~v163(constB0)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB0) | (~v163(constB0)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27269,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB0) | (~v163(constB0)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27270,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB0) | (~v163(constB0))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27269, 27268])).
% 20.62/14.23 tff(27271,plain,
% 20.62/14.23 (~v163(constB0)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27270, 27267, 22825])).
% 20.62/14.23 tff(27272,plain,
% 20.62/14.23 ((~v152(constB0)) <=> (~v152(constB0))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27273,axiom,(~v152(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1_1')).
% 20.62/14.23 tff(27274,plain,
% 20.62/14.23 (~v152(constB0)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 20.62/14.23 tff(27275,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB0) | (~v164(constB0)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB0) | (~v164(constB0)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27276,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB0) | (~v164(constB0)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27277,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB0) | (~v164(constB0))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27276, 27275])).
% 20.62/14.23 tff(27278,plain,
% 20.62/14.23 (~v164(constB0)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27277, 27274, 22640])).
% 20.62/14.23 tff(27279,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB0)) | v164(constB0) | v163(constB0))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB0)) | v164(constB0) | v163(constB0))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27280,plain,
% 20.62/14.23 ((v164(constB0) | v163(constB0) | (~v160(constB0))) <=> ((~v160(constB0)) | v164(constB0) | v163(constB0))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27281,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB0) | v163(constB0) | (~v160(constB0)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB0)) | v164(constB0) | v163(constB0)))),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27280])).
% 20.62/14.23 tff(27282,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB0) | v163(constB0) | (~v160(constB0)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB0)) | v164(constB0) | v163(constB0))),
% 20.62/14.23 inference(transitivity,[status(thm)],[27281, 27279])).
% 20.62/14.23 tff(27283,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB0) | v163(constB0) | (~v160(constB0)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27284,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB0)) | v164(constB0) | v163(constB0)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27283, 27282])).
% 20.62/14.23 tff(27285,plain,
% 20.62/14.23 (~v160(constB0)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27284, 22795, 27278, 27271])).
% 20.62/14.23 tff(27286,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27287,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27288,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27287, 27286])).
% 20.62/14.23 tff(27289,plain,
% 20.62/14.23 (v160(constB0) | (~v162(constB1))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27288, 22813, 79])).
% 20.62/14.23 tff(27290,plain,
% 20.62/14.23 (~v162(constB1)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27289, 27285])).
% 20.62/14.23 tff(27291,plain,
% 20.62/14.23 ($false),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27290, 27264])).
% 20.62/14.23 tff(27292,plain,(~(constB1 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.23 tff(27293,assumption,(constB40 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.23 tff(27294,plain,
% 20.62/14.23 (v1(constB40) <=> v1(sK0_VarCurr)),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27293])).
% 20.62/14.23 tff(27295,plain,
% 20.62/14.23 (v1(sK0_VarCurr) <=> v1(constB40)),
% 20.62/14.23 inference(symmetry,[status(thm)],[27294])).
% 20.62/14.23 tff(27296,plain,
% 20.62/14.23 ((~v1(sK0_VarCurr)) <=> (~v1(constB40))),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27295])).
% 20.62/14.23 tff(27297,plain,
% 20.62/14.23 (~v1(constB40)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[23510, 27296])).
% 20.62/14.23 tff(27298,plain,
% 20.62/14.23 ($false),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[4759, 27297])).
% 20.62/14.23 tff(27299,plain,(~(constB40 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.23 tff(27300,assumption,(constB122 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.23 tff(27301,plain,
% 20.62/14.23 (v1(constB122) <=> v1(sK0_VarCurr)),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27300])).
% 20.62/14.23 tff(27302,plain,
% 20.62/14.23 (v1(sK0_VarCurr) <=> v1(constB122)),
% 20.62/14.23 inference(symmetry,[status(thm)],[27301])).
% 20.62/14.23 tff(27303,plain,
% 20.62/14.23 ((~v1(sK0_VarCurr)) <=> (~v1(constB122))),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27302])).
% 20.62/14.23 tff(27304,plain,
% 20.62/14.23 (~v1(constB122)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[23510, 27303])).
% 20.62/14.23 tff(27305,plain,
% 20.62/14.23 ($false),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[15344, 27304])).
% 20.62/14.23 tff(27306,plain,(~(constB122 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.23 tff(27307,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.23 tff(27308,plain,
% 20.62/14.23 (v162(constB169) <=> v162(sK0_VarCurr)),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27307])).
% 20.62/14.23 tff(27309,plain,
% 20.62/14.23 (v162(sK0_VarCurr) <=> v162(constB169)),
% 20.62/14.23 inference(symmetry,[status(thm)],[27308])).
% 20.62/14.23 tff(27310,plain,
% 20.62/14.23 (v162(constB169)),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[22337, 27309])).
% 20.62/14.23 tff(27311,plain,
% 20.62/14.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB163, bitIndex1)) | (~v145(constB163)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB163, bitIndex1)) | (~v145(constB163)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27312,plain,
% 20.62/14.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB163, bitIndex1)) | (~v145(constB163)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27313,plain,
% 20.62/14.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB163, bitIndex1)) | (~v145(constB163))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27312, 27311])).
% 20.62/14.23 tff(27314,plain,
% 20.62/14.23 (~v145(constB163)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27313, 2012, 19659])).
% 20.62/14.23 tff(27315,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB163) | (~v144(constB163)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB163) | (~v144(constB163)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27316,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB163) | (~v144(constB163)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27317,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB163) | (~v144(constB163))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27316, 27315])).
% 20.62/14.23 tff(27318,plain,
% 20.62/14.23 (~v144(constB163)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27317, 22349, 27314])).
% 20.62/14.23 tff(27319,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB163) | (~v142(constB163)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB163) | (~v142(constB163)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27320,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB163) | (~v142(constB163)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27321,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB163) | (~v142(constB163))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27320, 27319])).
% 20.62/14.23 tff(27322,plain,
% 20.62/14.23 (~v142(constB163)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27321, 22360, 27318])).
% 20.62/14.23 tff(27323,plain,
% 20.62/14.23 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB163)) | (~v140(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB163)) | (~v140(constB163)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27324,plain,
% 20.62/14.23 (((~v140(constB163)) | (~v138(constB163))) <=> ((~v138(constB163)) | (~v140(constB163)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27325,plain,
% 20.62/14.23 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB163)) | (~v138(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB163)) | (~v140(constB163))))),
% 20.62/14.23 inference(monotonicity,[status(thm)],[27324])).
% 20.62/14.23 tff(27326,plain,
% 20.62/14.23 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB163)) | (~v138(constB163)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB163)) | (~v140(constB163)))),
% 20.62/14.23 inference(transitivity,[status(thm)],[27325, 27323])).
% 20.62/14.23 tff(27327,plain,
% 20.62/14.23 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB163)) | (~v138(constB163)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27328,plain,
% 20.62/14.23 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB163)) | (~v140(constB163))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27327, 27326])).
% 20.62/14.23 tff(27329,plain,
% 20.62/14.23 (~v138(constB163)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27328, 22419, 25623])).
% 20.62/14.23 tff(27330,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB163) | v142(constB163) | (~v135(constB163)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB163) | v142(constB163) | (~v135(constB163)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27331,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB163) | v142(constB163) | (~v135(constB163)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27332,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB163) | v142(constB163) | (~v135(constB163))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27331, 27330])).
% 20.62/14.23 tff(27333,plain,
% 20.62/14.23 (v142(constB163) | (~v135(constB163))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27332, 22436, 27329])).
% 20.62/14.23 tff(27334,plain,
% 20.62/14.23 (~v135(constB163)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27333, 27322])).
% 20.62/14.23 tff(27335,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27336,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27337,plain,
% 20.62/14.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27336, 27335])).
% 20.62/14.23 tff(27338,plain,
% 20.62/14.23 (v135(constB163) | (~v137(constB164))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27337, 22451, 19710])).
% 20.62/14.23 tff(27339,plain,
% 20.62/14.23 (~v137(constB164)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27338, 27334])).
% 20.62/14.23 tff(27340,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB164) | (~v138(constB164)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB164) | (~v138(constB164)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27341,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB164) | (~v138(constB164)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27342,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB164) | (~v138(constB164))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27341, 27340])).
% 20.62/14.23 tff(27343,plain,
% 20.62/14.23 (~v138(constB164)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27342, 22463, 27339])).
% 20.62/14.23 tff(27344,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB164) | (~v144(constB164)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB164) | (~v144(constB164)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27345,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB164) | (~v144(constB164)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27346,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB164) | (~v144(constB164))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27345, 27344])).
% 20.62/14.23 tff(27347,plain,
% 20.62/14.23 (~v144(constB164)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27346, 22485, 25645])).
% 20.62/14.23 tff(27348,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB164) | (~v142(constB164)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB164) | (~v142(constB164)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27349,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB164) | (~v142(constB164)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27350,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB164) | (~v142(constB164))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27349, 27348])).
% 20.62/14.23 tff(27351,plain,
% 20.62/14.23 (~v142(constB164)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27350, 22360, 27347])).
% 20.62/14.23 tff(27352,plain,
% 20.62/14.23 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB164) | v142(constB164) | (~v135(constB164)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB164) | v142(constB164) | (~v135(constB164)))),
% 20.62/14.23 inference(rewrite,[status(thm)],[])).
% 20.62/14.23 tff(27353,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB164) | v142(constB164) | (~v135(constB164)))),
% 20.62/14.23 inference(quant_inst,[status(thm)],[])).
% 20.62/14.23 tff(27354,plain,
% 20.62/14.23 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB164) | v142(constB164) | (~v135(constB164))),
% 20.62/14.23 inference(modus_ponens,[status(thm)],[27353, 27352])).
% 20.62/14.23 tff(27355,plain,
% 20.62/14.23 (v138(constB164) | (~v135(constB164))),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27354, 22436, 27351])).
% 20.62/14.23 tff(27356,plain,
% 20.62/14.23 (~v135(constB164)),
% 20.62/14.23 inference(unit_resolution,[status(thm)],[27355, 27343])).
% 20.62/14.23 tff(27357,plain,
% 20.62/14.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27358,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27359,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 20.62/14.24 tff(27360,plain,
% 20.62/14.24 (v135(constB164) | (~v137(constB165))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27359, 22451, 19849])).
% 20.62/14.24 tff(27361,plain,
% 20.62/14.24 (~v137(constB165)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27360, 27356])).
% 20.62/14.24 tff(27362,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB165) | (~v153(constB165)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB165) | (~v153(constB165)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27363,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB165) | (~v153(constB165)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27364,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB165) | (~v153(constB165))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27363, 27362])).
% 20.62/14.24 tff(27365,plain,
% 20.62/14.24 (~v153(constB165)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27364, 22510, 27361])).
% 20.62/14.24 tff(27366,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB165)) | (~v155(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB165)) | (~v155(constB165)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27367,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB165)) | (~v155(constB165)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27368,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB165)) | (~v155(constB165))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27367, 27366])).
% 20.62/14.24 tff(27369,plain,
% 20.62/14.24 (~v155(constB165)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27368, 22552, 25698])).
% 20.62/14.24 tff(27370,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB165) | v155(constB165) | (~v150(constB165)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB165) | v155(constB165) | (~v150(constB165)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27371,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB165) | v155(constB165) | (~v150(constB165)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27372,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB165) | v155(constB165) | (~v150(constB165))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 20.62/14.24 tff(27373,plain,
% 20.62/14.24 (v153(constB165) | (~v150(constB165))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27372, 22566, 27369])).
% 20.62/14.24 tff(27374,plain,
% 20.62/14.24 (~v150(constB165)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27373, 27365])).
% 20.62/14.24 tff(27375,plain,
% 20.62/14.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27376,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27377,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27376, 27375])).
% 20.62/14.24 tff(27378,plain,
% 20.62/14.24 (v150(constB165) | (~v152(constB166))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27377, 22581, 19959])).
% 20.62/14.24 tff(27379,plain,
% 20.62/14.24 (~v152(constB166)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27378, 27374])).
% 20.62/14.24 tff(27380,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB166) | (~v155(constB166)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB166) | (~v155(constB166)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27381,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB166) | (~v155(constB166)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27382,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB166) | (~v155(constB166))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27381, 27380])).
% 20.62/14.24 tff(27383,plain,
% 20.62/14.24 (~v155(constB166)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27382, 22593, 27379])).
% 20.62/14.24 tff(27384,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB166) | (~v153(constB166)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB166) | (~v153(constB166)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27385,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB166) | (~v153(constB166)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27386,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB166) | (~v153(constB166))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27385, 27384])).
% 20.62/14.24 tff(27387,plain,
% 20.62/14.24 (~v153(constB166)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27386, 22619, 25727])).
% 20.62/14.24 tff(27388,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB166) | v155(constB166) | (~v150(constB166)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB166) | v155(constB166) | (~v150(constB166)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27389,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB166) | v155(constB166) | (~v150(constB166)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27390,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB166) | v155(constB166) | (~v150(constB166))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27389, 27388])).
% 20.62/14.24 tff(27391,plain,
% 20.62/14.24 (v155(constB166) | (~v150(constB166))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27390, 22566, 27387])).
% 20.62/14.24 tff(27392,plain,
% 20.62/14.24 (~v150(constB166)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27391, 27383])).
% 20.62/14.24 tff(27393,plain,
% 20.62/14.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27394,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27395,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27394, 27393])).
% 20.62/14.24 tff(27396,plain,
% 20.62/14.24 (v150(constB166) | (~v152(constB167))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27395, 22581, 20021])).
% 20.62/14.24 tff(27397,plain,
% 20.62/14.24 (~v152(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27396, 27392])).
% 20.62/14.24 tff(27398,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB167) | (~v164(constB167)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB167) | (~v164(constB167)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27399,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB167) | (~v164(constB167)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27400,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB167) | (~v164(constB167))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27399, 27398])).
% 20.62/14.24 tff(27401,plain,
% 20.62/14.24 (~v164(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27400, 22640, 27397])).
% 20.62/14.24 tff(27402,assumption,(v18(constB168)), introduced(assumption)).
% 20.62/14.24 tff(27403,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB168))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27404,plain,
% 20.62/14.24 ($false),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27403, 2627, 27402])).
% 20.62/14.24 tff(27405,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.24 tff(27406,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27407,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27408,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 20.62/14.24 tff(27409,plain,
% 20.62/14.24 (v22(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27408, 2640, 20158])).
% 20.62/14.24 tff(27410,plain,
% 20.62/14.24 (((~![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))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27411,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB168)) | (~v22(constB168)) | v18(constB168))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27412,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB168)) | (~v22(constB168)) | v18(constB168)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27411, 27410])).
% 20.62/14.24 tff(27413,plain,
% 20.62/14.24 ((~v19(constB168)) | v18(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27412, 2654, 27409])).
% 20.62/14.24 tff(27414,plain,
% 20.62/14.24 (~v19(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27413, 27405])).
% 20.62/14.24 tff(27415,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27416,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27417,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27416, 27415])).
% 20.62/14.24 tff(27418,plain,
% 20.62/14.24 (v13(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27417, 2669, 27414])).
% 20.62/14.24 tff(27419,plain,
% 20.62/14.24 (((~![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))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27420,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27421,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB167, constB168)) | (~v13(constB168)) | v9(constB167)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27420, 27419])).
% 20.62/14.24 tff(27422,plain,
% 20.62/14.24 ((~v13(constB168)) | v9(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27421, 2686, 20138])).
% 20.62/14.24 tff(27423,plain,
% 20.62/14.24 (v9(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27422, 27418])).
% 20.62/14.24 tff(27424,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v141(constB167))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB167) | (~v9(constB167)) | v141(constB167))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27425,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v141(constB167))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27426,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB167) | (~v9(constB167)) | v141(constB167)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27425, 27424])).
% 20.62/14.24 tff(27427,plain,
% 20.62/14.24 ((~v9(constB167)) | v141(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27426, 22396, 20018])).
% 20.62/14.24 tff(27428,plain,
% 20.62/14.24 (v141(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27427, 27423])).
% 20.62/14.24 tff(27429,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB167) | (~v141(constB167)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB167) | (~v141(constB167)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27430,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB167) | (~v141(constB167)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27431,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB167) | (~v141(constB167))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27430, 27429])).
% 20.62/14.24 tff(27432,plain,
% 20.62/14.24 (v140(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27431, 22408, 27428])).
% 20.62/14.24 tff(27433,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB167)) | (~v163(constB167)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB167)) | (~v163(constB167)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27434,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB167)) | (~v163(constB167)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27435,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB167)) | (~v163(constB167))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27434, 27433])).
% 20.62/14.24 tff(27436,plain,
% 20.62/14.24 (~v163(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27435, 22781, 27432])).
% 20.62/14.24 tff(27437,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB167)) | v163(constB167) | v164(constB167))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB167)) | v163(constB167) | v164(constB167))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27438,plain,
% 20.62/14.24 ((v164(constB167) | v163(constB167) | (~v160(constB167))) <=> ((~v160(constB167)) | v163(constB167) | v164(constB167))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27439,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB167) | v163(constB167) | (~v160(constB167)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB167)) | v163(constB167) | v164(constB167)))),
% 20.62/14.24 inference(monotonicity,[status(thm)],[27438])).
% 20.62/14.24 tff(27440,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB167) | v163(constB167) | (~v160(constB167)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB167)) | v163(constB167) | v164(constB167))),
% 20.62/14.24 inference(transitivity,[status(thm)],[27439, 27437])).
% 20.62/14.24 tff(27441,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB167) | v163(constB167) | (~v160(constB167)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27442,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB167)) | v163(constB167) | v164(constB167)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27441, 27440])).
% 20.62/14.24 tff(27443,plain,
% 20.62/14.24 ((~v160(constB167)) | v164(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27442, 22795, 27436])).
% 20.62/14.24 tff(27444,plain,
% 20.62/14.24 (~v160(constB167)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27443, 27401])).
% 20.62/14.24 tff(27445,plain,
% 20.62/14.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27446,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27447,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27446, 27445])).
% 20.62/14.24 tff(27448,plain,
% 20.62/14.24 (v160(constB167) | (~v162(constB168))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27447, 22813, 20138])).
% 20.62/14.24 tff(27449,plain,
% 20.62/14.24 (~v162(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27448, 27444])).
% 20.62/14.24 tff(27450,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB168) | (~v163(constB168)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB168) | (~v163(constB168)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27451,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB168) | (~v163(constB168)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27452,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB168) | (~v163(constB168))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27451, 27450])).
% 20.62/14.24 tff(27453,plain,
% 20.62/14.24 (~v163(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27452, 22825, 27449])).
% 20.62/14.24 tff(27454,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB168)) | (~v141(constB168)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB168)) | (~v141(constB168)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27455,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB168)) | (~v141(constB168)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27456,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB168)) | (~v141(constB168))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27455, 27454])).
% 20.62/14.24 tff(27457,plain,
% 20.62/14.24 (~v141(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27456, 22474, 20158])).
% 20.62/14.24 tff(27458,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB168) | (~v154(constB168)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB168) | (~v154(constB168)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27459,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB168) | (~v154(constB168)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27460,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB168) | (~v154(constB168))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27459, 27458])).
% 20.62/14.24 tff(27461,plain,
% 20.62/14.24 (~v154(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27460, 22608, 27457])).
% 20.62/14.24 tff(27462,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB168) | (~v164(constB168)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB168) | (~v164(constB168)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27463,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB168) | (~v164(constB168)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27464,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB168) | (~v164(constB168))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27463, 27462])).
% 20.62/14.24 tff(27465,plain,
% 20.62/14.24 (~v164(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27464, 22836, 27461])).
% 20.62/14.24 tff(27466,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB168)) | v164(constB168) | v163(constB168))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB168)) | v164(constB168) | v163(constB168))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27467,plain,
% 20.62/14.24 ((v164(constB168) | v163(constB168) | (~v160(constB168))) <=> ((~v160(constB168)) | v164(constB168) | v163(constB168))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27468,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB168) | v163(constB168) | (~v160(constB168)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB168)) | v164(constB168) | v163(constB168)))),
% 20.62/14.24 inference(monotonicity,[status(thm)],[27467])).
% 20.62/14.24 tff(27469,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB168) | v163(constB168) | (~v160(constB168)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB168)) | v164(constB168) | v163(constB168))),
% 20.62/14.24 inference(transitivity,[status(thm)],[27468, 27466])).
% 20.62/14.24 tff(27470,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB168) | v163(constB168) | (~v160(constB168)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27471,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB168)) | v164(constB168) | v163(constB168)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27470, 27469])).
% 20.62/14.24 tff(27472,plain,
% 20.62/14.24 ((~v160(constB168)) | v163(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27471, 22795, 27465])).
% 20.62/14.24 tff(27473,plain,
% 20.62/14.24 (~v160(constB168)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27472, 27453])).
% 20.62/14.24 tff(27474,plain,
% 20.62/14.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27475,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27476,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27475, 27474])).
% 20.62/14.24 tff(27477,plain,
% 20.62/14.24 (v160(constB168) | (~v162(constB169))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27476, 22813, 20200])).
% 20.62/14.24 tff(27478,plain,
% 20.62/14.24 (~v162(constB169)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27477, 27473])).
% 20.62/14.24 tff(27479,plain,
% 20.62/14.24 ($false),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27478, 27310])).
% 20.62/14.24 tff(27480,plain,(~(constB169 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.24 tff(27481,assumption,(constB89 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.24 tff(27482,plain,
% 20.62/14.24 (v162(constB89) <=> v162(sK0_VarCurr)),
% 20.62/14.24 inference(monotonicity,[status(thm)],[27481])).
% 20.62/14.24 tff(27483,plain,
% 20.62/14.24 (v162(sK0_VarCurr) <=> v162(constB89)),
% 20.62/14.24 inference(symmetry,[status(thm)],[27482])).
% 20.62/14.24 tff(27484,plain,
% 20.62/14.24 (v162(constB89)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[22337, 27483])).
% 20.62/14.24 tff(27485,plain,
% 20.62/14.24 (~v145(constB83)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[11221, 10327, 9332])).
% 20.62/14.24 tff(27486,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB83) | (~v144(constB83)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB83) | (~v144(constB83)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27487,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB83) | (~v144(constB83)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27488,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB83) | (~v144(constB83))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27487, 27486])).
% 20.62/14.24 tff(27489,plain,
% 20.62/14.24 (~v144(constB83)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27488, 22349, 27485])).
% 20.62/14.24 tff(27490,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB83) | (~v142(constB83)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB83) | (~v142(constB83)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27491,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB83) | (~v142(constB83)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27492,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB83) | (~v142(constB83))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27491, 27490])).
% 20.62/14.24 tff(27493,plain,
% 20.62/14.24 (~v142(constB83)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27492, 22360, 27489])).
% 20.62/14.24 tff(27494,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB83)) | (~v140(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB83)) | (~v140(constB83)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27495,plain,
% 20.62/14.24 (((~v140(constB83)) | (~v138(constB83))) <=> ((~v138(constB83)) | (~v140(constB83)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27496,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB83)) | (~v138(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB83)) | (~v140(constB83))))),
% 20.62/14.24 inference(monotonicity,[status(thm)],[27495])).
% 20.62/14.24 tff(27497,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB83)) | (~v138(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB83)) | (~v140(constB83)))),
% 20.62/14.24 inference(transitivity,[status(thm)],[27496, 27494])).
% 20.62/14.24 tff(27498,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB83)) | (~v138(constB83)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27499,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB83)) | (~v140(constB83))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27498, 27497])).
% 20.62/14.24 tff(27500,plain,
% 20.62/14.24 (~v138(constB83)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27499, 22419, 26592])).
% 20.62/14.24 tff(27501,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB83) | v142(constB83) | (~v135(constB83)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB83) | v142(constB83) | (~v135(constB83)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27502,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB83) | v142(constB83) | (~v135(constB83)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27503,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB83) | v142(constB83) | (~v135(constB83))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27502, 27501])).
% 20.62/14.24 tff(27504,plain,
% 20.62/14.24 (v142(constB83) | (~v135(constB83))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27503, 22436, 27500])).
% 20.62/14.24 tff(27505,plain,
% 20.62/14.24 (~v135(constB83)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27504, 27493])).
% 20.62/14.24 tff(27506,plain,
% 20.62/14.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27507,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27508,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27507, 27506])).
% 20.62/14.24 tff(27509,plain,
% 20.62/14.24 (v135(constB83) | (~v137(constB84))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27508, 22451, 9425])).
% 20.62/14.24 tff(27510,plain,
% 20.62/14.24 (~v137(constB84)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27509, 27505])).
% 20.62/14.24 tff(27511,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB84) | (~v138(constB84)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB84) | (~v138(constB84)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27512,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB84) | (~v138(constB84)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27513,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB84) | (~v138(constB84))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27512, 27511])).
% 20.62/14.24 tff(27514,plain,
% 20.62/14.24 (~v138(constB84)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27513, 22463, 27510])).
% 20.62/14.24 tff(27515,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB84) | (~v144(constB84)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB84) | (~v144(constB84)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27516,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB84) | (~v144(constB84)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27517,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB84) | (~v144(constB84))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27516, 27515])).
% 20.62/14.24 tff(27518,plain,
% 20.62/14.24 (~v144(constB84)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27517, 22485, 26617])).
% 20.62/14.24 tff(27519,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB84) | (~v142(constB84)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB84) | (~v142(constB84)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27520,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB84) | (~v142(constB84)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27521,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB84) | (~v142(constB84))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27520, 27519])).
% 20.62/14.24 tff(27522,plain,
% 20.62/14.24 (~v142(constB84)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27521, 22360, 27518])).
% 20.62/14.24 tff(27523,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB84) | v142(constB84) | (~v135(constB84)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB84) | v142(constB84) | (~v135(constB84)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27524,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB84) | v142(constB84) | (~v135(constB84)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27525,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB84) | v142(constB84) | (~v135(constB84))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27524, 27523])).
% 20.62/14.24 tff(27526,plain,
% 20.62/14.24 (v138(constB84) | (~v135(constB84))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27525, 22436, 27522])).
% 20.62/14.24 tff(27527,plain,
% 20.62/14.24 (~v135(constB84)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27526, 27514])).
% 20.62/14.24 tff(27528,plain,
% 20.62/14.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27529,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27530,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27529, 27528])).
% 20.62/14.24 tff(27531,plain,
% 20.62/14.24 (v135(constB84) | (~v137(constB85))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27530, 22451, 9487])).
% 20.62/14.24 tff(27532,plain,
% 20.62/14.24 (~v137(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27531, 27527])).
% 20.62/14.24 tff(27533,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB85) | (~v153(constB85)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB85) | (~v153(constB85)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27534,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB85) | (~v153(constB85)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27535,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB85) | (~v153(constB85))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27534, 27533])).
% 20.62/14.24 tff(27536,plain,
% 20.62/14.24 (~v153(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27535, 22510, 27532])).
% 20.62/14.24 tff(27537,assumption,(v18(constB86)), introduced(assumption)).
% 20.62/14.24 tff(27538,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB86))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27539,plain,
% 20.62/14.24 ($false),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27538, 2627, 27537])).
% 20.62/14.24 tff(27540,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.24 tff(27541,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27542,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27543,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27542, 27541])).
% 20.62/14.24 tff(27544,plain,
% 20.62/14.24 (v22(constB86)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27543, 2640, 9620])).
% 20.62/14.24 tff(27545,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB86)) | (~v22(constB86)) | v18(constB86))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB86)) | (~v22(constB86)) | v18(constB86))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27546,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB86)) | (~v22(constB86)) | v18(constB86))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27547,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB86)) | (~v22(constB86)) | v18(constB86)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27546, 27545])).
% 20.62/14.24 tff(27548,plain,
% 20.62/14.24 ((~v19(constB86)) | v18(constB86)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27547, 2654, 27544])).
% 20.62/14.24 tff(27549,plain,
% 20.62/14.24 (~v19(constB86)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27548, 27540])).
% 20.62/14.24 tff(27550,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27551,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27552,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27551, 27550])).
% 20.62/14.24 tff(27553,plain,
% 20.62/14.24 (v13(constB86)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27552, 2669, 27549])).
% 20.62/14.24 tff(27554,plain,
% 20.62/14.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27555,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27556,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB85, constB86)) | (~v13(constB86)) | v9(constB85)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27555, 27554])).
% 20.62/14.24 tff(27557,plain,
% 20.62/14.24 ((~v13(constB86)) | v9(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27556, 2686, 9600])).
% 20.62/14.24 tff(27558,plain,
% 20.62/14.24 (v9(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27557, 27553])).
% 20.62/14.24 tff(27559,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v141(constB85))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB85) | (~v9(constB85)) | v141(constB85))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27560,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v141(constB85))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27561,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB85) | (~v9(constB85)) | v141(constB85)),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27560, 27559])).
% 20.62/14.24 tff(27562,plain,
% 20.62/14.24 ((~v9(constB85)) | v141(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27561, 22396, 9484])).
% 20.62/14.24 tff(27563,plain,
% 20.62/14.24 (v141(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27562, 27558])).
% 20.62/14.24 tff(27564,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB85) | (~v141(constB85)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB85) | (~v141(constB85)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27565,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB85) | (~v141(constB85)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27566,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB85) | (~v141(constB85))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27565, 27564])).
% 20.62/14.24 tff(27567,plain,
% 20.62/14.24 (v140(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27566, 22408, 27563])).
% 20.62/14.24 tff(27568,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB85)) | (~v155(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB85)) | (~v155(constB85)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27569,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB85)) | (~v155(constB85)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27570,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB85)) | (~v155(constB85))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27569, 27568])).
% 20.62/14.24 tff(27571,plain,
% 20.62/14.24 (~v155(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27570, 22552, 27567])).
% 20.62/14.24 tff(27572,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB85) | v155(constB85) | (~v150(constB85)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB85) | v155(constB85) | (~v150(constB85)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27573,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB85) | v155(constB85) | (~v150(constB85)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27574,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB85) | v155(constB85) | (~v150(constB85))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27573, 27572])).
% 20.62/14.24 tff(27575,plain,
% 20.62/14.24 (v153(constB85) | (~v150(constB85))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27574, 22566, 27571])).
% 20.62/14.24 tff(27576,plain,
% 20.62/14.24 (~v150(constB85)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27575, 27536])).
% 20.62/14.24 tff(27577,plain,
% 20.62/14.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27578,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27579,plain,
% 20.62/14.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27578, 27577])).
% 20.62/14.24 tff(27580,plain,
% 20.62/14.24 (v150(constB85) | (~v152(constB86))),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27579, 22581, 9600])).
% 20.62/14.24 tff(27581,plain,
% 20.62/14.24 (~v152(constB86)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27580, 27576])).
% 20.62/14.24 tff(27582,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB86) | (~v155(constB86)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB86) | (~v155(constB86)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27583,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB86) | (~v155(constB86)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27584,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB86) | (~v155(constB86))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27583, 27582])).
% 20.62/14.24 tff(27585,plain,
% 20.62/14.24 (~v155(constB86)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27584, 22593, 27581])).
% 20.62/14.24 tff(27586,plain,
% 20.62/14.24 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB86)) | (~v141(constB86)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB86)) | (~v141(constB86)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27587,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB86)) | (~v141(constB86)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27588,plain,
% 20.62/14.24 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB86)) | (~v141(constB86))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27587, 27586])).
% 20.62/14.24 tff(27589,plain,
% 20.62/14.24 (~v141(constB86)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27588, 22474, 9620])).
% 20.62/14.24 tff(27590,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB86) | (~v154(constB86)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB86) | (~v154(constB86)))),
% 20.62/14.24 inference(rewrite,[status(thm)],[])).
% 20.62/14.24 tff(27591,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB86) | (~v154(constB86)))),
% 20.62/14.24 inference(quant_inst,[status(thm)],[])).
% 20.62/14.24 tff(27592,plain,
% 20.62/14.24 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB86) | (~v154(constB86))),
% 20.62/14.24 inference(modus_ponens,[status(thm)],[27591, 27590])).
% 20.62/14.24 tff(27593,plain,
% 20.62/14.24 (~v154(constB86)),
% 20.62/14.24 inference(unit_resolution,[status(thm)],[27592, 22608, 27589])).
% 20.62/14.24 tff(27594,plain,
% 20.62/14.24 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB86) | (~v153(constB86)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB86) | (~v153(constB86)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27595,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB86) | (~v153(constB86)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27596,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB86) | (~v153(constB86))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27595, 27594])).
% 20.62/14.25 tff(27597,plain,
% 20.62/14.25 (~v153(constB86)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27596, 22619, 27593])).
% 20.62/14.25 tff(27598,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB86) | v155(constB86) | (~v150(constB86)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB86) | v155(constB86) | (~v150(constB86)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27599,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB86) | v155(constB86) | (~v150(constB86)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27600,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB86) | v155(constB86) | (~v150(constB86))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27599, 27598])).
% 20.62/14.25 tff(27601,plain,
% 20.62/14.25 (v155(constB86) | (~v150(constB86))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27600, 22566, 27597])).
% 20.62/14.25 tff(27602,plain,
% 20.62/14.25 (~v150(constB86)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27601, 27585])).
% 20.62/14.25 tff(27603,plain,
% 20.62/14.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27604,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27605,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27604, 27603])).
% 20.62/14.25 tff(27606,plain,
% 20.62/14.25 (v150(constB86) | (~v152(constB87))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27605, 22581, 11281])).
% 20.62/14.25 tff(27607,plain,
% 20.62/14.25 (~v152(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27606, 27602])).
% 20.62/14.25 tff(27608,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB87) | (~v164(constB87)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB87) | (~v164(constB87)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27609,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB87) | (~v164(constB87)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27610,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB87) | (~v164(constB87))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27609, 27608])).
% 20.62/14.25 tff(27611,plain,
% 20.62/14.25 (~v164(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27610, 22640, 27607])).
% 20.62/14.25 tff(27612,assumption,(v18(constB88)), introduced(assumption)).
% 20.62/14.25 tff(27613,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB88))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27614,plain,
% 20.62/14.25 ($false),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27613, 2627, 27612])).
% 20.62/14.25 tff(27615,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.25 tff(27616,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27617,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27618,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27617, 27616])).
% 20.62/14.25 tff(27619,plain,
% 20.62/14.25 (v22(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27618, 2640, 11455])).
% 20.62/14.25 tff(27620,plain,
% 20.62/14.25 (((~![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))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27621,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB88)) | (~v22(constB88)) | v18(constB88))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27622,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB88)) | (~v22(constB88)) | v18(constB88)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27621, 27620])).
% 20.62/14.25 tff(27623,plain,
% 20.62/14.25 ((~v19(constB88)) | v18(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27622, 2654, 27619])).
% 20.62/14.25 tff(27624,plain,
% 20.62/14.25 (~v19(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27623, 27615])).
% 20.62/14.25 tff(27625,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27626,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27627,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27626, 27625])).
% 20.62/14.25 tff(27628,plain,
% 20.62/14.25 (v13(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27627, 2669, 27624])).
% 20.62/14.25 tff(27629,plain,
% 20.62/14.25 (((~![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))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27630,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27631,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB87, constB88)) | (~v13(constB88)) | v9(constB87)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27630, 27629])).
% 20.62/14.25 tff(27632,plain,
% 20.62/14.25 ((~v13(constB88)) | v9(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27631, 2686, 11435])).
% 20.62/14.25 tff(27633,plain,
% 20.62/14.25 (v9(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27632, 27628])).
% 20.62/14.25 tff(27634,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v141(constB87))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB87) | (~v9(constB87)) | v141(constB87))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27635,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v141(constB87))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27636,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB87) | (~v9(constB87)) | v141(constB87)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27635, 27634])).
% 20.62/14.25 tff(27637,plain,
% 20.62/14.25 ((~v9(constB87)) | v141(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27636, 22396, 11278])).
% 20.62/14.25 tff(27638,plain,
% 20.62/14.25 (v141(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27637, 27633])).
% 20.62/14.25 tff(27639,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB87) | (~v141(constB87)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB87) | (~v141(constB87)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27640,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB87) | (~v141(constB87)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27641,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB87) | (~v141(constB87))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27640, 27639])).
% 20.62/14.25 tff(27642,plain,
% 20.62/14.25 (v140(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27641, 22408, 27638])).
% 20.62/14.25 tff(27643,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB87)) | (~v163(constB87)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB87)) | (~v163(constB87)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27644,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB87)) | (~v163(constB87)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27645,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB87)) | (~v163(constB87))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27644, 27643])).
% 20.62/14.25 tff(27646,plain,
% 20.62/14.25 (~v163(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27645, 22781, 27642])).
% 20.62/14.25 tff(27647,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB87)) | v164(constB87) | v163(constB87))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB87)) | v164(constB87) | v163(constB87))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27648,plain,
% 20.62/14.25 ((v164(constB87) | v163(constB87) | (~v160(constB87))) <=> ((~v160(constB87)) | v164(constB87) | v163(constB87))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27649,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB87) | v163(constB87) | (~v160(constB87)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB87)) | v164(constB87) | v163(constB87)))),
% 20.62/14.25 inference(monotonicity,[status(thm)],[27648])).
% 20.62/14.25 tff(27650,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB87) | v163(constB87) | (~v160(constB87)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB87)) | v164(constB87) | v163(constB87))),
% 20.62/14.25 inference(transitivity,[status(thm)],[27649, 27647])).
% 20.62/14.25 tff(27651,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB87) | v163(constB87) | (~v160(constB87)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27652,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB87)) | v164(constB87) | v163(constB87)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27651, 27650])).
% 20.62/14.25 tff(27653,plain,
% 20.62/14.25 ((~v160(constB87)) | v164(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27652, 22795, 27646])).
% 20.62/14.25 tff(27654,plain,
% 20.62/14.25 (~v160(constB87)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27653, 27611])).
% 20.62/14.25 tff(27655,plain,
% 20.62/14.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27656,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27657,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27656, 27655])).
% 20.62/14.25 tff(27658,plain,
% 20.62/14.25 (v160(constB87) | (~v162(constB88))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27657, 22813, 11435])).
% 20.62/14.25 tff(27659,plain,
% 20.62/14.25 (~v162(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27658, 27654])).
% 20.62/14.25 tff(27660,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB88) | (~v163(constB88)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB88) | (~v163(constB88)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27661,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB88) | (~v163(constB88)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27662,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB88) | (~v163(constB88))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27661, 27660])).
% 20.62/14.25 tff(27663,plain,
% 20.62/14.25 (~v163(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27662, 22825, 27659])).
% 20.62/14.25 tff(27664,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB88)) | (~v141(constB88)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB88)) | (~v141(constB88)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27665,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB88)) | (~v141(constB88)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27666,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB88)) | (~v141(constB88))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27665, 27664])).
% 20.62/14.25 tff(27667,plain,
% 20.62/14.25 (~v141(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27666, 22474, 11455])).
% 20.62/14.25 tff(27668,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB88) | (~v154(constB88)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB88) | (~v154(constB88)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27669,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB88) | (~v154(constB88)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27670,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB88) | (~v154(constB88))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27669, 27668])).
% 20.62/14.25 tff(27671,plain,
% 20.62/14.25 (~v154(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27670, 22608, 27667])).
% 20.62/14.25 tff(27672,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB88) | (~v164(constB88)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB88) | (~v164(constB88)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27673,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB88) | (~v164(constB88)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27674,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB88) | (~v164(constB88))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27673, 27672])).
% 20.62/14.25 tff(27675,plain,
% 20.62/14.25 (~v164(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27674, 22836, 27671])).
% 20.62/14.25 tff(27676,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB88)) | v164(constB88) | v163(constB88))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB88)) | v164(constB88) | v163(constB88))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27677,plain,
% 20.62/14.25 ((v164(constB88) | v163(constB88) | (~v160(constB88))) <=> ((~v160(constB88)) | v164(constB88) | v163(constB88))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27678,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB88) | v163(constB88) | (~v160(constB88)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB88)) | v164(constB88) | v163(constB88)))),
% 20.62/14.25 inference(monotonicity,[status(thm)],[27677])).
% 20.62/14.25 tff(27679,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB88) | v163(constB88) | (~v160(constB88)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB88)) | v164(constB88) | v163(constB88))),
% 20.62/14.25 inference(transitivity,[status(thm)],[27678, 27676])).
% 20.62/14.25 tff(27680,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB88) | v163(constB88) | (~v160(constB88)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27681,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB88)) | v164(constB88) | v163(constB88)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 20.62/14.25 tff(27682,plain,
% 20.62/14.25 ((~v160(constB88)) | v163(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27681, 22795, 27675])).
% 20.62/14.25 tff(27683,plain,
% 20.62/14.25 (~v160(constB88)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27682, 27663])).
% 20.62/14.25 tff(27684,plain,
% 20.62/14.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27685,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27686,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27685, 27684])).
% 20.62/14.25 tff(27687,plain,
% 20.62/14.25 (v160(constB88) | (~v162(constB89))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27686, 22813, 11538])).
% 20.62/14.25 tff(27688,plain,
% 20.62/14.25 (~v162(constB89)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27687, 27683])).
% 20.62/14.25 tff(27689,plain,
% 20.62/14.25 ($false),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27688, 27484])).
% 20.62/14.25 tff(27690,plain,(~(constB89 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.25 tff(27691,assumption,(constB77 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.25 tff(27692,plain,
% 20.62/14.25 (v162(constB77) <=> v162(sK0_VarCurr)),
% 20.62/14.25 inference(monotonicity,[status(thm)],[27691])).
% 20.62/14.25 tff(27693,plain,
% 20.62/14.25 (v162(sK0_VarCurr) <=> v162(constB77)),
% 20.62/14.25 inference(symmetry,[status(thm)],[27692])).
% 20.62/14.25 tff(27694,plain,
% 20.62/14.25 (v162(constB77)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[22337, 27693])).
% 20.62/14.25 tff(27695,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex2)) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB71, bitIndex2)) | (~v145(constB71)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27696,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex2)) | (~v145(constB71)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27697,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB71, bitIndex2)) | (~v145(constB71))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27696, 27695])).
% 20.62/14.25 tff(27698,plain,
% 20.62/14.25 (~v145(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27697, 10327, 7876])).
% 20.62/14.25 tff(27699,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB71) | (~v144(constB71)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB71) | (~v144(constB71)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27700,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB71) | (~v144(constB71)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27701,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB71) | (~v144(constB71))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 20.62/14.25 tff(27702,plain,
% 20.62/14.25 (~v144(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27701, 22349, 27698])).
% 20.62/14.25 tff(27703,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB71) | (~v142(constB71)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB71) | (~v142(constB71)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27704,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB71) | (~v142(constB71)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27705,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB71) | (~v142(constB71))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 20.62/14.25 tff(27706,plain,
% 20.62/14.25 (~v142(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27705, 22360, 27702])).
% 20.62/14.25 tff(27707,assumption,(v18(constB72)), introduced(assumption)).
% 20.62/14.25 tff(27708,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB72))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27709,plain,
% 20.62/14.25 ($false),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27708, 2627, 27707])).
% 20.62/14.25 tff(27710,plain,(~v18(constB72)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.25 tff(27711,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27712,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27713,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27712, 27711])).
% 20.62/14.25 tff(27714,plain,
% 20.62/14.25 (v22(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27713, 2640, 7992])).
% 20.62/14.25 tff(27715,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB72)) | (~v22(constB72)) | v18(constB72))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB72)) | (~v22(constB72)) | v18(constB72))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27716,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB72)) | (~v22(constB72)) | v18(constB72))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27717,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB72)) | (~v22(constB72)) | v18(constB72)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27716, 27715])).
% 20.62/14.25 tff(27718,plain,
% 20.62/14.25 ((~v19(constB72)) | v18(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27717, 2654, 27714])).
% 20.62/14.25 tff(27719,plain,
% 20.62/14.25 (~v19(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27718, 27710])).
% 20.62/14.25 tff(27720,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27721,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27722,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27721, 27720])).
% 20.62/14.25 tff(27723,plain,
% 20.62/14.25 (v13(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27722, 2669, 27719])).
% 20.62/14.25 tff(27724,plain,
% 20.62/14.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27725,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27726,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB71, constB72)) | (~v13(constB72)) | v9(constB71)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 20.62/14.25 tff(27727,plain,
% 20.62/14.25 ((~v13(constB72)) | v9(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27726, 2686, 7972])).
% 20.62/14.25 tff(27728,plain,
% 20.62/14.25 (v9(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27727, 27723])).
% 20.62/14.25 tff(27729,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v141(constB71))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB71) | (~v9(constB71)) | v141(constB71))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27730,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v141(constB71))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27731,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB71) | (~v9(constB71)) | v141(constB71)),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27730, 27729])).
% 20.62/14.25 tff(27732,plain,
% 20.62/14.25 ((~v9(constB71)) | v141(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27731, 22396, 7852])).
% 20.62/14.25 tff(27733,plain,
% 20.62/14.25 (v141(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27732, 27728])).
% 20.62/14.25 tff(27734,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB71) | (~v141(constB71)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB71) | (~v141(constB71)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27735,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB71) | (~v141(constB71)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27736,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB71) | (~v141(constB71))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27735, 27734])).
% 20.62/14.25 tff(27737,plain,
% 20.62/14.25 (v140(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27736, 22408, 27733])).
% 20.62/14.25 tff(27738,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB71)) | (~v140(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB71)) | (~v140(constB71)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27739,plain,
% 20.62/14.25 (((~v140(constB71)) | (~v138(constB71))) <=> ((~v138(constB71)) | (~v140(constB71)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27740,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB71)) | (~v138(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB71)) | (~v140(constB71))))),
% 20.62/14.25 inference(monotonicity,[status(thm)],[27739])).
% 20.62/14.25 tff(27741,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB71)) | (~v138(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB71)) | (~v140(constB71)))),
% 20.62/14.25 inference(transitivity,[status(thm)],[27740, 27738])).
% 20.62/14.25 tff(27742,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB71)) | (~v138(constB71)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27743,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB71)) | (~v140(constB71))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27742, 27741])).
% 20.62/14.25 tff(27744,plain,
% 20.62/14.25 (~v138(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27743, 22419, 27737])).
% 20.62/14.25 tff(27745,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB71) | v142(constB71) | (~v135(constB71)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB71) | v142(constB71) | (~v135(constB71)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27746,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB71) | v142(constB71) | (~v135(constB71)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27747,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB71) | v142(constB71) | (~v135(constB71))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27746, 27745])).
% 20.62/14.25 tff(27748,plain,
% 20.62/14.25 (v142(constB71) | (~v135(constB71))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27747, 22436, 27744])).
% 20.62/14.25 tff(27749,plain,
% 20.62/14.25 (~v135(constB71)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27748, 27706])).
% 20.62/14.25 tff(27750,plain,
% 20.62/14.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27751,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27752,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27751, 27750])).
% 20.62/14.25 tff(27753,plain,
% 20.62/14.25 (v135(constB71) | (~v137(constB72))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27752, 22451, 7972])).
% 20.62/14.25 tff(27754,plain,
% 20.62/14.25 (~v137(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27753, 27749])).
% 20.62/14.25 tff(27755,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB72) | (~v138(constB72)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB72) | (~v138(constB72)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27756,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB72) | (~v138(constB72)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27757,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB72) | (~v138(constB72))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27756, 27755])).
% 20.62/14.25 tff(27758,plain,
% 20.62/14.25 (~v138(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27757, 22463, 27754])).
% 20.62/14.25 tff(27759,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB72)) | (~v141(constB72)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB72)) | (~v141(constB72)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27760,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB72)) | (~v141(constB72)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27761,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB72)) | (~v141(constB72))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27760, 27759])).
% 20.62/14.25 tff(27762,plain,
% 20.62/14.25 (~v141(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27761, 22474, 7992])).
% 20.62/14.25 tff(27763,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB72) | (~v144(constB72)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB72) | (~v144(constB72)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27764,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB72) | (~v144(constB72)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27765,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB72) | (~v144(constB72))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27764, 27763])).
% 20.62/14.25 tff(27766,plain,
% 20.62/14.25 (~v144(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27765, 22485, 27762])).
% 20.62/14.25 tff(27767,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB72) | (~v142(constB72)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB72) | (~v142(constB72)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27768,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB72) | (~v142(constB72)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27769,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB72) | (~v142(constB72))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27768, 27767])).
% 20.62/14.25 tff(27770,plain,
% 20.62/14.25 (~v142(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27769, 22360, 27766])).
% 20.62/14.25 tff(27771,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB72) | v142(constB72) | (~v135(constB72)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB72) | v142(constB72) | (~v135(constB72)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27772,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB72) | v142(constB72) | (~v135(constB72)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27773,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB72) | v142(constB72) | (~v135(constB72))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27772, 27771])).
% 20.62/14.25 tff(27774,plain,
% 20.62/14.25 (v138(constB72) | (~v135(constB72))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27773, 22436, 27770])).
% 20.62/14.25 tff(27775,plain,
% 20.62/14.25 (~v135(constB72)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27774, 27758])).
% 20.62/14.25 tff(27776,plain,
% 20.62/14.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27777,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27778,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27777, 27776])).
% 20.62/14.25 tff(27779,plain,
% 20.62/14.25 (v135(constB72) | (~v137(constB73))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27778, 22451, 8034])).
% 20.62/14.25 tff(27780,plain,
% 20.62/14.25 (~v137(constB73)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27779, 27775])).
% 20.62/14.25 tff(27781,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB73) | (~v153(constB73)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB73) | (~v153(constB73)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27782,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB73) | (~v153(constB73)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27783,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB73) | (~v153(constB73))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27782, 27781])).
% 20.62/14.25 tff(27784,plain,
% 20.62/14.25 (~v153(constB73)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27783, 22510, 27780])).
% 20.62/14.25 tff(27785,plain,
% 20.62/14.25 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB73)) | (~v155(constB73)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB73)) | (~v155(constB73)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27786,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB73)) | (~v155(constB73)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27787,plain,
% 20.62/14.25 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB73)) | (~v155(constB73))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27786, 27785])).
% 20.62/14.25 tff(27788,plain,
% 20.62/14.25 (~v155(constB73)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27787, 22552, 26910])).
% 20.62/14.25 tff(27789,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB73) | v155(constB73) | (~v150(constB73)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB73) | v155(constB73) | (~v150(constB73)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27790,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB73) | v155(constB73) | (~v150(constB73)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27791,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB73) | v155(constB73) | (~v150(constB73))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27790, 27789])).
% 20.62/14.25 tff(27792,plain,
% 20.62/14.25 (v153(constB73) | (~v150(constB73))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27791, 22566, 27788])).
% 20.62/14.25 tff(27793,plain,
% 20.62/14.25 (~v150(constB73)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27792, 27784])).
% 20.62/14.25 tff(27794,plain,
% 20.62/14.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27795,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27796,plain,
% 20.62/14.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27795, 27794])).
% 20.62/14.25 tff(27797,plain,
% 20.62/14.25 (v150(constB73) | (~v152(constB74))),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27796, 22581, 8132])).
% 20.62/14.25 tff(27798,plain,
% 20.62/14.25 (~v152(constB74)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27797, 27793])).
% 20.62/14.25 tff(27799,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB74) | (~v155(constB74)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB74) | (~v155(constB74)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27800,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB74) | (~v155(constB74)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27801,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB74) | (~v155(constB74))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27800, 27799])).
% 20.62/14.25 tff(27802,plain,
% 20.62/14.25 (~v155(constB74)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27801, 22593, 27798])).
% 20.62/14.25 tff(27803,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB74) | (~v154(constB74)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB74) | (~v154(constB74)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27804,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB74) | (~v154(constB74)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27805,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB74) | (~v154(constB74))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 20.62/14.25 tff(27806,plain,
% 20.62/14.25 (~v154(constB74)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27805, 22608, 26932])).
% 20.62/14.25 tff(27807,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB74) | (~v153(constB74)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB74) | (~v153(constB74)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.25 tff(27808,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB74) | (~v153(constB74)))),
% 20.62/14.25 inference(quant_inst,[status(thm)],[])).
% 20.62/14.25 tff(27809,plain,
% 20.62/14.25 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB74) | (~v153(constB74))),
% 20.62/14.25 inference(modus_ponens,[status(thm)],[27808, 27807])).
% 20.62/14.25 tff(27810,plain,
% 20.62/14.25 (~v153(constB74)),
% 20.62/14.25 inference(unit_resolution,[status(thm)],[27809, 22619, 27806])).
% 20.62/14.25 tff(27811,plain,
% 20.62/14.25 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB74) | v155(constB74) | (~v150(constB74)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB74) | v155(constB74) | (~v150(constB74)))),
% 20.62/14.25 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27812,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB74) | v155(constB74) | (~v150(constB74)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27813,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB74) | v155(constB74) | (~v150(constB74))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27812, 27811])).
% 20.62/14.26 tff(27814,plain,
% 20.62/14.26 (v155(constB74) | (~v150(constB74))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27813, 22566, 27810])).
% 20.62/14.26 tff(27815,plain,
% 20.62/14.26 (~v150(constB74)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27814, 27802])).
% 20.62/14.26 tff(27816,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27817,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27818,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27817, 27816])).
% 20.62/14.26 tff(27819,plain,
% 20.62/14.26 (v150(constB74) | (~v152(constB75))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27818, 22581, 8367])).
% 20.62/14.26 tff(27820,plain,
% 20.62/14.26 (~v152(constB75)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27819, 27815])).
% 20.62/14.26 tff(27821,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB75) | (~v164(constB75)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB75) | (~v164(constB75)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27822,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB75) | (~v164(constB75)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27823,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB75) | (~v164(constB75))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27822, 27821])).
% 20.62/14.26 tff(27824,plain,
% 20.62/14.26 (~v164(constB75)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27823, 22640, 27820])).
% 20.62/14.26 tff(27825,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB75)) | (~v163(constB75)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB75)) | (~v163(constB75)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27826,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB75)) | (~v163(constB75)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27827,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB75)) | (~v163(constB75))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27826, 27825])).
% 20.62/14.26 tff(27828,plain,
% 20.62/14.26 (~v163(constB75)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27827, 22781, 26985])).
% 20.62/14.26 tff(27829,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB75)) | v164(constB75) | v163(constB75))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB75)) | v164(constB75) | v163(constB75))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27830,plain,
% 20.62/14.26 ((v164(constB75) | v163(constB75) | (~v160(constB75))) <=> ((~v160(constB75)) | v164(constB75) | v163(constB75))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27831,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB75) | v163(constB75) | (~v160(constB75)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB75)) | v164(constB75) | v163(constB75)))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27830])).
% 20.62/14.26 tff(27832,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB75) | v163(constB75) | (~v160(constB75)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB75)) | v164(constB75) | v163(constB75))),
% 20.62/14.26 inference(transitivity,[status(thm)],[27831, 27829])).
% 20.62/14.26 tff(27833,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB75) | v163(constB75) | (~v160(constB75)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27834,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB75)) | v164(constB75) | v163(constB75)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27833, 27832])).
% 20.62/14.26 tff(27835,plain,
% 20.62/14.26 ((~v160(constB75)) | v164(constB75)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27834, 22795, 27828])).
% 20.62/14.26 tff(27836,plain,
% 20.62/14.26 (~v160(constB75)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27835, 27824])).
% 20.62/14.26 tff(27837,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27838,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27839,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27838, 27837])).
% 20.62/14.26 tff(27840,plain,
% 20.62/14.26 (v160(constB75) | (~v162(constB76))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27839, 22813, 8392])).
% 20.62/14.26 tff(27841,plain,
% 20.62/14.26 (~v162(constB76)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27840, 27836])).
% 20.62/14.26 tff(27842,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB76) | (~v163(constB76)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB76) | (~v163(constB76)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27843,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB76) | (~v163(constB76)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27844,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB76) | (~v163(constB76))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27843, 27842])).
% 20.62/14.26 tff(27845,plain,
% 20.62/14.26 (~v163(constB76)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27844, 22825, 27841])).
% 20.62/14.26 tff(27846,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB76) | (~v164(constB76)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB76) | (~v164(constB76)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27847,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB76) | (~v164(constB76)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27848,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB76) | (~v164(constB76))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27847, 27846])).
% 20.62/14.26 tff(27849,plain,
% 20.62/14.26 (~v164(constB76)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27848, 22836, 27011])).
% 20.62/14.26 tff(27850,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB76)) | v164(constB76) | v163(constB76))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB76)) | v164(constB76) | v163(constB76))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27851,plain,
% 20.62/14.26 ((v164(constB76) | v163(constB76) | (~v160(constB76))) <=> ((~v160(constB76)) | v164(constB76) | v163(constB76))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27852,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB76) | v163(constB76) | (~v160(constB76)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB76)) | v164(constB76) | v163(constB76)))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27851])).
% 20.62/14.26 tff(27853,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB76) | v163(constB76) | (~v160(constB76)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB76)) | v164(constB76) | v163(constB76))),
% 20.62/14.26 inference(transitivity,[status(thm)],[27852, 27850])).
% 20.62/14.26 tff(27854,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB76) | v163(constB76) | (~v160(constB76)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27855,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB76)) | v164(constB76) | v163(constB76)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27854, 27853])).
% 20.62/14.26 tff(27856,plain,
% 20.62/14.26 ((~v160(constB76)) | v163(constB76)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27855, 22795, 27849])).
% 20.62/14.26 tff(27857,plain,
% 20.62/14.26 (~v160(constB76)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27856, 27845])).
% 20.62/14.26 tff(27858,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27859,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27860,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27859, 27858])).
% 20.62/14.26 tff(27861,plain,
% 20.62/14.26 (v160(constB76) | (~v162(constB77))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27860, 22813, 8668])).
% 20.62/14.26 tff(27862,plain,
% 20.62/14.26 (~v162(constB77)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27861, 27857])).
% 20.62/14.26 tff(27863,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27862, 27694])).
% 20.62/14.26 tff(27864,plain,(~(constB77 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(27865,assumption,(constB102 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.26 tff(27866,plain,
% 20.62/14.26 (v1(constB102) <=> v1(sK0_VarCurr)),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27865])).
% 20.62/14.26 tff(27867,plain,
% 20.62/14.26 (v1(sK0_VarCurr) <=> v1(constB102)),
% 20.62/14.26 inference(symmetry,[status(thm)],[27866])).
% 20.62/14.26 tff(27868,plain,
% 20.62/14.26 ((~v1(sK0_VarCurr)) <=> (~v1(constB102))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27867])).
% 20.62/14.26 tff(27869,plain,
% 20.62/14.26 (~v1(constB102)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[23510, 27868])).
% 20.62/14.26 tff(27870,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[13307, 27869])).
% 20.62/14.26 tff(27871,plain,(~(constB102 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(27872,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.26 tff(27873,plain,
% 20.62/14.26 (v1(constB190) <=> v1(sK0_VarCurr)),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27872])).
% 20.62/14.26 tff(27874,plain,
% 20.62/14.26 (v1(sK0_VarCurr) <=> v1(constB190)),
% 20.62/14.26 inference(symmetry,[status(thm)],[27873])).
% 20.62/14.26 tff(27875,plain,
% 20.62/14.26 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27874])).
% 20.62/14.26 tff(27876,plain,
% 20.62/14.26 (~v1(constB190)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[23510, 27875])).
% 20.62/14.26 tff(27877,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[23958, 27876])).
% 20.62/14.26 tff(27878,plain,(~(constB190 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(27879,assumption,(constB186 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.26 tff(27880,plain,
% 20.62/14.26 (v1(constB186) <=> v1(sK0_VarCurr)),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27879])).
% 20.62/14.26 tff(27881,plain,
% 20.62/14.26 (v1(sK0_VarCurr) <=> v1(constB186)),
% 20.62/14.26 inference(symmetry,[status(thm)],[27880])).
% 20.62/14.26 tff(27882,plain,
% 20.62/14.26 ((~v1(sK0_VarCurr)) <=> (~v1(constB186))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27881])).
% 20.62/14.26 tff(27883,plain,
% 20.62/14.26 (~v1(constB186)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[23510, 27882])).
% 20.62/14.26 tff(27884,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[21943, 27883])).
% 20.62/14.26 tff(27885,plain,(~(constB186 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(27886,assumption,(constB26 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.26 tff(27887,plain,
% 20.62/14.26 (v1(constB26) <=> v1(sK0_VarCurr)),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27886])).
% 20.62/14.26 tff(27888,plain,
% 20.62/14.26 (v1(sK0_VarCurr) <=> v1(constB26)),
% 20.62/14.26 inference(symmetry,[status(thm)],[27887])).
% 20.62/14.26 tff(27889,plain,
% 20.62/14.26 ((~v1(sK0_VarCurr)) <=> (~v1(constB26))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27888])).
% 20.62/14.26 tff(27890,plain,
% 20.62/14.26 (~v1(constB26)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[23510, 27889])).
% 20.62/14.26 tff(27891,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[3389, 27890])).
% 20.62/14.26 tff(27892,plain,(~(constB26 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(27893,assumption,(constB109 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.26 tff(27894,plain,
% 20.62/14.26 (v162(constB109) <=> v162(sK0_VarCurr)),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27893])).
% 20.62/14.26 tff(27895,plain,
% 20.62/14.26 (v162(sK0_VarCurr) <=> v162(constB109)),
% 20.62/14.26 inference(symmetry,[status(thm)],[27894])).
% 20.62/14.26 tff(27896,plain,
% 20.62/14.26 (v162(constB109)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[22337, 27895])).
% 20.62/14.26 tff(27897,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[23887, 27896])).
% 20.62/14.26 tff(27898,plain,(~(constB109 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(27899,assumption,(constB52 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.26 tff(27900,plain,
% 20.62/14.26 (v1(constB52) <=> v1(sK0_VarCurr)),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27899])).
% 20.62/14.26 tff(27901,plain,
% 20.62/14.26 (v1(sK0_VarCurr) <=> v1(constB52)),
% 20.62/14.26 inference(symmetry,[status(thm)],[27900])).
% 20.62/14.26 tff(27902,plain,
% 20.62/14.26 ((~v1(sK0_VarCurr)) <=> (~v1(constB52))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27901])).
% 20.62/14.26 tff(27903,plain,
% 20.62/14.26 (~v1(constB52)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[23510, 27902])).
% 20.62/14.26 tff(27904,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[6100, 27903])).
% 20.62/14.26 tff(27905,plain,(~(constB52 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(27906,assumption,(constB6 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.26 tff(27907,plain,
% 20.62/14.26 (v1(constB6) <=> v1(sK0_VarCurr)),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27906])).
% 20.62/14.26 tff(27908,plain,
% 20.62/14.26 (v1(sK0_VarCurr) <=> v1(constB6)),
% 20.62/14.26 inference(symmetry,[status(thm)],[27907])).
% 20.62/14.26 tff(27909,plain,
% 20.62/14.26 ((~v1(sK0_VarCurr)) <=> (~v1(constB6))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27908])).
% 20.62/14.26 tff(27910,plain,
% 20.62/14.26 (~v1(constB6)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[23510, 27909])).
% 20.62/14.26 tff(27911,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[1008, 27910])).
% 20.62/14.26 tff(27912,plain,(~(constB6 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(27913,assumption,(constB171 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.26 tff(27914,plain,
% 20.62/14.26 (v162(constB171) <=> v162(sK0_VarCurr)),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27913])).
% 20.62/14.26 tff(27915,plain,
% 20.62/14.26 (v162(sK0_VarCurr) <=> v162(constB171)),
% 20.62/14.26 inference(symmetry,[status(thm)],[27914])).
% 20.62/14.26 tff(27916,plain,
% 20.62/14.26 (v162(constB171)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[22337, 27915])).
% 20.62/14.26 tff(27917,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB165, bitIndex2)) | (~v145(constB165)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB165, bitIndex2)) | (~v145(constB165)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27918,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB165, bitIndex2)) | (~v145(constB165)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27919,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB165, bitIndex2)) | (~v145(constB165))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27918, 27917])).
% 20.62/14.26 tff(27920,plain,
% 20.62/14.26 (~v145(constB165)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27919, 10327, 19870])).
% 20.62/14.26 tff(27921,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB165) | (~v144(constB165)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB165) | (~v144(constB165)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27922,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB165) | (~v144(constB165)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27923,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB165) | (~v144(constB165))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27922, 27921])).
% 20.62/14.26 tff(27924,plain,
% 20.62/14.26 (~v144(constB165)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27923, 22349, 27920])).
% 20.62/14.26 tff(27925,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB165) | (~v142(constB165)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB165) | (~v142(constB165)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27926,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB165) | (~v142(constB165)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27927,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB165) | (~v142(constB165))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27926, 27925])).
% 20.62/14.26 tff(27928,plain,
% 20.62/14.26 (~v142(constB165)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27927, 22360, 27924])).
% 20.62/14.26 tff(27929,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB165)) | (~v140(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB165)) | (~v140(constB165)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27930,plain,
% 20.62/14.26 (((~v140(constB165)) | (~v138(constB165))) <=> ((~v138(constB165)) | (~v140(constB165)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27931,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB165)) | (~v138(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB165)) | (~v140(constB165))))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[27930])).
% 20.62/14.26 tff(27932,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB165)) | (~v138(constB165)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB165)) | (~v140(constB165)))),
% 20.62/14.26 inference(transitivity,[status(thm)],[27931, 27929])).
% 20.62/14.26 tff(27933,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB165)) | (~v138(constB165)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27934,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB165)) | (~v140(constB165))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27933, 27932])).
% 20.62/14.26 tff(27935,plain,
% 20.62/14.26 (~v138(constB165)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27934, 22419, 25698])).
% 20.62/14.26 tff(27936,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB165) | v142(constB165) | (~v135(constB165)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB165) | v142(constB165) | (~v135(constB165)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27937,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB165) | v142(constB165) | (~v135(constB165)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27938,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB165) | v142(constB165) | (~v135(constB165))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27937, 27936])).
% 20.62/14.26 tff(27939,plain,
% 20.62/14.26 (v142(constB165) | (~v135(constB165))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27938, 22436, 27935])).
% 20.62/14.26 tff(27940,plain,
% 20.62/14.26 (~v135(constB165)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27939, 27928])).
% 20.62/14.26 tff(27941,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27942,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27943,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27942, 27941])).
% 20.62/14.26 tff(27944,plain,
% 20.62/14.26 (v135(constB165) | (~v137(constB166))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27943, 22451, 19959])).
% 20.62/14.26 tff(27945,plain,
% 20.62/14.26 (~v137(constB166)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27944, 27940])).
% 20.62/14.26 tff(27946,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB166) | (~v138(constB166)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB166) | (~v138(constB166)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27947,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB166) | (~v138(constB166)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27948,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB166) | (~v138(constB166))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27947, 27946])).
% 20.62/14.26 tff(27949,plain,
% 20.62/14.26 (~v138(constB166)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27948, 22463, 27945])).
% 20.62/14.26 tff(27950,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB166) | (~v144(constB166)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB166) | (~v144(constB166)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27951,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB166) | (~v144(constB166)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27952,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB166) | (~v144(constB166))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27951, 27950])).
% 20.62/14.26 tff(27953,plain,
% 20.62/14.26 (~v144(constB166)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27952, 22485, 25723])).
% 20.62/14.26 tff(27954,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB166) | (~v142(constB166)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB166) | (~v142(constB166)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27955,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB166) | (~v142(constB166)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27956,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB166) | (~v142(constB166))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27955, 27954])).
% 20.62/14.26 tff(27957,plain,
% 20.62/14.26 (~v142(constB166)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27956, 22360, 27953])).
% 20.62/14.26 tff(27958,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB166) | v142(constB166) | (~v135(constB166)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB166) | v142(constB166) | (~v135(constB166)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27959,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB166) | v142(constB166) | (~v135(constB166)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27960,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB166) | v142(constB166) | (~v135(constB166))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27959, 27958])).
% 20.62/14.26 tff(27961,plain,
% 20.62/14.26 (v138(constB166) | (~v135(constB166))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27960, 22436, 27957])).
% 20.62/14.26 tff(27962,plain,
% 20.62/14.26 (~v135(constB166)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27961, 27949])).
% 20.62/14.26 tff(27963,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27964,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27965,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27964, 27963])).
% 20.62/14.26 tff(27966,plain,
% 20.62/14.26 (v135(constB166) | (~v137(constB167))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27965, 22451, 20021])).
% 20.62/14.26 tff(27967,plain,
% 20.62/14.26 (~v137(constB167)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27966, 27962])).
% 20.62/14.26 tff(27968,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB167) | (~v153(constB167)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB167) | (~v153(constB167)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27969,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB167) | (~v153(constB167)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27970,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB167) | (~v153(constB167))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 20.62/14.26 tff(27971,plain,
% 20.62/14.26 (~v153(constB167)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27970, 22510, 27967])).
% 20.62/14.26 tff(27972,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB167)) | (~v155(constB167)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB167)) | (~v155(constB167)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27973,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB167)) | (~v155(constB167)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27974,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB167)) | (~v155(constB167))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27973, 27972])).
% 20.62/14.26 tff(27975,plain,
% 20.62/14.26 (~v155(constB167)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27974, 22552, 27432])).
% 20.62/14.26 tff(27976,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB167) | v155(constB167) | (~v150(constB167)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB167) | v155(constB167) | (~v150(constB167)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27977,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB167) | v155(constB167) | (~v150(constB167)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27978,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB167) | v155(constB167) | (~v150(constB167))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27977, 27976])).
% 20.62/14.26 tff(27979,plain,
% 20.62/14.26 (v153(constB167) | (~v150(constB167))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27978, 22566, 27975])).
% 20.62/14.26 tff(27980,plain,
% 20.62/14.26 (~v150(constB167)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27979, 27971])).
% 20.62/14.26 tff(27981,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27982,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27983,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27982, 27981])).
% 20.62/14.26 tff(27984,plain,
% 20.62/14.26 (v150(constB167) | (~v152(constB168))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27983, 22581, 20138])).
% 20.62/14.26 tff(27985,plain,
% 20.62/14.26 (~v152(constB168)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27984, 27980])).
% 20.62/14.26 tff(27986,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB168) | (~v155(constB168)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB168) | (~v155(constB168)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27987,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB168) | (~v155(constB168)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27988,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB168) | (~v155(constB168))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27987, 27986])).
% 20.62/14.26 tff(27989,plain,
% 20.62/14.26 (~v155(constB168)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27988, 22593, 27985])).
% 20.62/14.26 tff(27990,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB168) | (~v153(constB168)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB168) | (~v153(constB168)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27991,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB168) | (~v153(constB168)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27992,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB168) | (~v153(constB168))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27991, 27990])).
% 20.62/14.26 tff(27993,plain,
% 20.62/14.26 (~v153(constB168)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27992, 22619, 27461])).
% 20.62/14.26 tff(27994,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB168) | v155(constB168) | (~v150(constB168)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB168) | v155(constB168) | (~v150(constB168)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(27995,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB168) | v155(constB168) | (~v150(constB168)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(27996,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB168) | v155(constB168) | (~v150(constB168))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[27995, 27994])).
% 20.62/14.26 tff(27997,plain,
% 20.62/14.26 (v155(constB168) | (~v150(constB168))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27996, 22566, 27993])).
% 20.62/14.26 tff(27998,plain,
% 20.62/14.26 (~v150(constB168)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[27997, 27989])).
% 20.62/14.26 tff(27999,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28000,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28001,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28000, 27999])).
% 20.62/14.26 tff(28002,plain,
% 20.62/14.26 (v150(constB168) | (~v152(constB169))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28001, 22581, 20200])).
% 20.62/14.26 tff(28003,plain,
% 20.62/14.26 (~v152(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28002, 27998])).
% 20.62/14.26 tff(28004,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB169) | (~v164(constB169)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB169) | (~v164(constB169)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28005,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB169) | (~v164(constB169)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28006,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB169) | (~v164(constB169))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28005, 28004])).
% 20.62/14.26 tff(28007,plain,
% 20.62/14.26 (~v164(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28006, 22640, 28003])).
% 20.62/14.26 tff(28008,assumption,(v18(constB170)), introduced(assumption)).
% 20.62/14.26 tff(28009,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB170))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28010,plain,
% 20.62/14.26 ($false),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28009, 2627, 28008])).
% 20.62/14.26 tff(28011,plain,(~v18(constB170)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.26 tff(28012,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28013,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28014,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28013, 28012])).
% 20.62/14.26 tff(28015,plain,
% 20.62/14.26 (v22(constB170)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28014, 2640, 20382])).
% 20.62/14.26 tff(28016,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28017,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB170)) | (~v22(constB170)) | v18(constB170))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28018,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB170)) | (~v22(constB170)) | v18(constB170)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28017, 28016])).
% 20.62/14.26 tff(28019,plain,
% 20.62/14.26 ((~v19(constB170)) | v18(constB170)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28018, 2654, 28015])).
% 20.62/14.26 tff(28020,plain,
% 20.62/14.26 (~v19(constB170)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28019, 28011])).
% 20.62/14.26 tff(28021,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28022,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28023,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28022, 28021])).
% 20.62/14.26 tff(28024,plain,
% 20.62/14.26 (v13(constB170)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28023, 2669, 28020])).
% 20.62/14.26 tff(28025,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28026,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28027,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB169, constB170)) | (~v13(constB170)) | v9(constB169)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28026, 28025])).
% 20.62/14.26 tff(28028,plain,
% 20.62/14.26 ((~v13(constB170)) | v9(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28027, 2686, 20298])).
% 20.62/14.26 tff(28029,plain,
% 20.62/14.26 (v9(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28028, 28024])).
% 20.62/14.26 tff(28030,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v141(constB169))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB169) | (~v9(constB169)) | v141(constB169))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28031,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v141(constB169))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28032,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB169) | (~v9(constB169)) | v141(constB169)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28031, 28030])).
% 20.62/14.26 tff(28033,plain,
% 20.62/14.26 ((~v9(constB169)) | v141(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28032, 22396, 20197])).
% 20.62/14.26 tff(28034,plain,
% 20.62/14.26 (v141(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28033, 28029])).
% 20.62/14.26 tff(28035,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB169) | (~v141(constB169)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB169) | (~v141(constB169)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28036,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB169) | (~v141(constB169)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28037,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB169) | (~v141(constB169))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28036, 28035])).
% 20.62/14.26 tff(28038,plain,
% 20.62/14.26 (v140(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28037, 22408, 28034])).
% 20.62/14.26 tff(28039,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB169)) | (~v163(constB169)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB169)) | (~v163(constB169)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28040,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB169)) | (~v163(constB169)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28041,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB169)) | (~v163(constB169))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28040, 28039])).
% 20.62/14.26 tff(28042,plain,
% 20.62/14.26 (~v163(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28041, 22781, 28038])).
% 20.62/14.26 tff(28043,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB169)) | v163(constB169) | v164(constB169))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB169)) | v163(constB169) | v164(constB169))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28044,plain,
% 20.62/14.26 ((v164(constB169) | v163(constB169) | (~v160(constB169))) <=> ((~v160(constB169)) | v163(constB169) | v164(constB169))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28045,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB169) | v163(constB169) | (~v160(constB169)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB169)) | v163(constB169) | v164(constB169)))),
% 20.62/14.26 inference(monotonicity,[status(thm)],[28044])).
% 20.62/14.26 tff(28046,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB169) | v163(constB169) | (~v160(constB169)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB169)) | v163(constB169) | v164(constB169))),
% 20.62/14.26 inference(transitivity,[status(thm)],[28045, 28043])).
% 20.62/14.26 tff(28047,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB169) | v163(constB169) | (~v160(constB169)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28048,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB169)) | v163(constB169) | v164(constB169)),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28047, 28046])).
% 20.62/14.26 tff(28049,plain,
% 20.62/14.26 ((~v160(constB169)) | v164(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28048, 22795, 28042])).
% 20.62/14.26 tff(28050,plain,
% 20.62/14.26 (~v160(constB169)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28049, 28007])).
% 20.62/14.26 tff(28051,plain,
% 20.62/14.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB169, constB170)) | v160(constB169) | (~v162(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB169, constB170)) | v160(constB169) | (~v162(constB170)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28052,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB169, constB170)) | v160(constB169) | (~v162(constB170)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28053,plain,
% 20.62/14.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB169, constB170)) | v160(constB169) | (~v162(constB170))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28052, 28051])).
% 20.62/14.26 tff(28054,plain,
% 20.62/14.26 (v160(constB169) | (~v162(constB170))),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28053, 22813, 20298])).
% 20.62/14.26 tff(28055,plain,
% 20.62/14.26 (~v162(constB170)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28054, 28050])).
% 20.62/14.26 tff(28056,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB170) | (~v163(constB170)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB170) | (~v163(constB170)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28057,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB170) | (~v163(constB170)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28058,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB170) | (~v163(constB170))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28057, 28056])).
% 20.62/14.26 tff(28059,plain,
% 20.62/14.26 (~v163(constB170)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28058, 22825, 28055])).
% 20.62/14.26 tff(28060,plain,
% 20.62/14.26 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB170)) | (~v141(constB170)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB170)) | (~v141(constB170)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28061,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB170)) | (~v141(constB170)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28062,plain,
% 20.62/14.26 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB170)) | (~v141(constB170))),
% 20.62/14.26 inference(modus_ponens,[status(thm)],[28061, 28060])).
% 20.62/14.26 tff(28063,plain,
% 20.62/14.26 (~v141(constB170)),
% 20.62/14.26 inference(unit_resolution,[status(thm)],[28062, 22474, 20382])).
% 20.62/14.26 tff(28064,plain,
% 20.62/14.26 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB170) | (~v154(constB170)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB170) | (~v154(constB170)))),
% 20.62/14.26 inference(rewrite,[status(thm)],[])).
% 20.62/14.26 tff(28065,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB170) | (~v154(constB170)))),
% 20.62/14.26 inference(quant_inst,[status(thm)],[])).
% 20.62/14.26 tff(28066,plain,
% 20.62/14.26 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB170) | (~v154(constB170))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28065, 28064])).
% 20.62/14.27 tff(28067,plain,
% 20.62/14.27 (~v154(constB170)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28066, 22608, 28063])).
% 20.62/14.27 tff(28068,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB170) | (~v164(constB170)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB170) | (~v164(constB170)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28069,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB170) | (~v164(constB170)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28070,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB170) | (~v164(constB170))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28069, 28068])).
% 20.62/14.27 tff(28071,plain,
% 20.62/14.27 (~v164(constB170)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28070, 22836, 28067])).
% 20.62/14.27 tff(28072,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB170)) | v164(constB170) | v163(constB170))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB170)) | v164(constB170) | v163(constB170))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28073,plain,
% 20.62/14.27 ((v164(constB170) | v163(constB170) | (~v160(constB170))) <=> ((~v160(constB170)) | v164(constB170) | v163(constB170))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28074,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB170) | v163(constB170) | (~v160(constB170)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB170)) | v164(constB170) | v163(constB170)))),
% 20.62/14.27 inference(monotonicity,[status(thm)],[28073])).
% 20.62/14.27 tff(28075,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB170) | v163(constB170) | (~v160(constB170)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB170)) | v164(constB170) | v163(constB170))),
% 20.62/14.27 inference(transitivity,[status(thm)],[28074, 28072])).
% 20.62/14.27 tff(28076,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB170) | v163(constB170) | (~v160(constB170)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28077,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB170)) | v164(constB170) | v163(constB170)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28076, 28075])).
% 20.62/14.27 tff(28078,plain,
% 20.62/14.27 ((~v160(constB170)) | v163(constB170)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28077, 22795, 28071])).
% 20.62/14.27 tff(28079,plain,
% 20.62/14.27 (~v160(constB170)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28078, 28059])).
% 20.62/14.27 tff(28080,plain,
% 20.62/14.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB170, constB171)) | v160(constB170) | (~v162(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB170, constB171)) | v160(constB170) | (~v162(constB171)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28081,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB170, constB171)) | v160(constB170) | (~v162(constB171)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28082,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB170, constB171)) | v160(constB170) | (~v162(constB171))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28081, 28080])).
% 20.62/14.27 tff(28083,plain,
% 20.62/14.27 (v160(constB170) | (~v162(constB171))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28082, 22813, 20409])).
% 20.62/14.27 tff(28084,plain,
% 20.62/14.27 (~v162(constB171)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28083, 28079])).
% 20.62/14.27 tff(28085,plain,
% 20.62/14.27 ($false),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28084, 27916])).
% 20.62/14.27 tff(28086,plain,(~(constB171 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.27 tff(28087,assumption,(constB131 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.27 tff(28088,plain,
% 20.62/14.27 (v162(constB131) <=> v162(sK0_VarCurr)),
% 20.62/14.27 inference(monotonicity,[status(thm)],[28087])).
% 20.62/14.27 tff(28089,plain,
% 20.62/14.27 (v162(sK0_VarCurr) <=> v162(constB131)),
% 20.62/14.27 inference(symmetry,[status(thm)],[28088])).
% 20.62/14.27 tff(28090,plain,
% 20.62/14.27 (v162(constB131)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[22337, 28089])).
% 20.62/14.27 tff(28091,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v145(constB125)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28092,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v145(constB125)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28093,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v145(constB125))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28092, 28091])).
% 20.62/14.27 tff(28094,plain,
% 20.62/14.27 (~v145(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28093, 2012, 15665])).
% 20.62/14.27 tff(28095,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB125) | (~v144(constB125)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB125) | (~v144(constB125)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28096,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB125) | (~v144(constB125)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28097,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB125) | (~v144(constB125))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28096, 28095])).
% 20.62/14.27 tff(28098,plain,
% 20.62/14.27 (~v144(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28097, 22349, 28094])).
% 20.62/14.27 tff(28099,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB125) | (~v142(constB125)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28100,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB125) | (~v142(constB125)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28101,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB125) | (~v142(constB125))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28100, 28099])).
% 20.62/14.27 tff(28102,plain,
% 20.62/14.27 (~v142(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28101, 22360, 28098])).
% 20.62/14.27 tff(28103,assumption,(v18(constB126)), introduced(assumption)).
% 20.62/14.27 tff(28104,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB126))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28105,plain,
% 20.62/14.27 ($false),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28104, 2627, 28103])).
% 20.62/14.27 tff(28106,plain,(~v18(constB126)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.27 tff(28107,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28108,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28109,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28108, 28107])).
% 20.62/14.27 tff(28110,plain,
% 20.62/14.27 (v22(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28109, 2640, 15758])).
% 20.62/14.27 tff(28111,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB126)) | (~v22(constB126)) | v18(constB126))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB126)) | (~v22(constB126)) | v18(constB126))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28112,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB126)) | (~v22(constB126)) | v18(constB126))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28113,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB126)) | (~v22(constB126)) | v18(constB126)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28112, 28111])).
% 20.62/14.27 tff(28114,plain,
% 20.62/14.27 ((~v19(constB126)) | v18(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28113, 2654, 28110])).
% 20.62/14.27 tff(28115,plain,
% 20.62/14.27 (~v19(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28114, 28106])).
% 20.62/14.27 tff(28116,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28117,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28118,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28117, 28116])).
% 20.62/14.27 tff(28119,plain,
% 20.62/14.27 (v13(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28118, 2669, 28115])).
% 20.62/14.27 tff(28120,plain,
% 20.62/14.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28121,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28122,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB125, constB126)) | (~v13(constB126)) | v9(constB125)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28121, 28120])).
% 20.62/14.27 tff(28123,plain,
% 20.62/14.27 ((~v13(constB126)) | v9(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28122, 2686, 15738])).
% 20.62/14.27 tff(28124,plain,
% 20.62/14.27 (v9(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28123, 28119])).
% 20.62/14.27 tff(28125,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v141(constB125))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB125) | (~v9(constB125)) | v141(constB125))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28126,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v141(constB125))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28127,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB125) | (~v9(constB125)) | v141(constB125)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28126, 28125])).
% 20.62/14.27 tff(28128,plain,
% 20.62/14.27 ((~v9(constB125)) | v141(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28127, 22396, 15610])).
% 20.62/14.27 tff(28129,plain,
% 20.62/14.27 (v141(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28128, 28124])).
% 20.62/14.27 tff(28130,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB125) | (~v141(constB125)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB125) | (~v141(constB125)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28131,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB125) | (~v141(constB125)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28132,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB125) | (~v141(constB125))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28131, 28130])).
% 20.62/14.27 tff(28133,plain,
% 20.62/14.27 (v140(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28132, 22408, 28129])).
% 20.62/14.27 tff(28134,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB125)) | (~v140(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB125)) | (~v140(constB125)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28135,plain,
% 20.62/14.27 (((~v140(constB125)) | (~v138(constB125))) <=> ((~v138(constB125)) | (~v140(constB125)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28136,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB125)) | (~v138(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB125)) | (~v140(constB125))))),
% 20.62/14.27 inference(monotonicity,[status(thm)],[28135])).
% 20.62/14.27 tff(28137,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB125)) | (~v138(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB125)) | (~v140(constB125)))),
% 20.62/14.27 inference(transitivity,[status(thm)],[28136, 28134])).
% 20.62/14.27 tff(28138,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB125)) | (~v138(constB125)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28139,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB125)) | (~v140(constB125))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28138, 28137])).
% 20.62/14.27 tff(28140,plain,
% 20.62/14.27 (~v138(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28139, 22419, 28133])).
% 20.62/14.27 tff(28141,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB125) | v142(constB125) | (~v135(constB125)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB125) | v142(constB125) | (~v135(constB125)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28142,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB125) | v142(constB125) | (~v135(constB125)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28143,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB125) | v142(constB125) | (~v135(constB125))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28142, 28141])).
% 20.62/14.27 tff(28144,plain,
% 20.62/14.27 (v142(constB125) | (~v135(constB125))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28143, 22436, 28140])).
% 20.62/14.27 tff(28145,plain,
% 20.62/14.27 (~v135(constB125)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28144, 28102])).
% 20.62/14.27 tff(28146,plain,
% 20.62/14.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB125, constB126)) | v135(constB125) | (~v137(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB125, constB126)) | v135(constB125) | (~v137(constB126)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28147,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB125, constB126)) | v135(constB125) | (~v137(constB126)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28148,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB125, constB126)) | v135(constB125) | (~v137(constB126))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28147, 28146])).
% 20.62/14.27 tff(28149,plain,
% 20.62/14.27 (v135(constB125) | (~v137(constB126))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28148, 22451, 15738])).
% 20.62/14.27 tff(28150,plain,
% 20.62/14.27 (~v137(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28149, 28145])).
% 20.62/14.27 tff(28151,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB126) | (~v138(constB126)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB126) | (~v138(constB126)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28152,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB126) | (~v138(constB126)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28153,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB126) | (~v138(constB126))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28152, 28151])).
% 20.62/14.27 tff(28154,plain,
% 20.62/14.27 (~v138(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28153, 22463, 28150])).
% 20.62/14.27 tff(28155,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB126)) | (~v141(constB126)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB126)) | (~v141(constB126)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28156,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB126)) | (~v141(constB126)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28157,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB126)) | (~v141(constB126))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28156, 28155])).
% 20.62/14.27 tff(28158,plain,
% 20.62/14.27 (~v141(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28157, 22474, 15758])).
% 20.62/14.27 tff(28159,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB126) | (~v144(constB126)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB126) | (~v144(constB126)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28160,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB126) | (~v144(constB126)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28161,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB126) | (~v144(constB126))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28160, 28159])).
% 20.62/14.27 tff(28162,plain,
% 20.62/14.27 (~v144(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28161, 22485, 28158])).
% 20.62/14.27 tff(28163,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB126) | (~v142(constB126)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB126) | (~v142(constB126)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28164,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB126) | (~v142(constB126)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28165,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB126) | (~v142(constB126))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28164, 28163])).
% 20.62/14.27 tff(28166,plain,
% 20.62/14.27 (~v142(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28165, 22360, 28162])).
% 20.62/14.27 tff(28167,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB126) | v142(constB126) | (~v135(constB126)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB126) | v142(constB126) | (~v135(constB126)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28168,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB126) | v142(constB126) | (~v135(constB126)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28169,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB126) | v142(constB126) | (~v135(constB126))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28168, 28167])).
% 20.62/14.27 tff(28170,plain,
% 20.62/14.27 (v138(constB126) | (~v135(constB126))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28169, 22436, 28166])).
% 20.62/14.27 tff(28171,plain,
% 20.62/14.27 (~v135(constB126)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28170, 28154])).
% 20.62/14.27 tff(28172,plain,
% 20.62/14.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB126, constB127)) | v135(constB126) | (~v137(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB126, constB127)) | v135(constB126) | (~v137(constB127)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28173,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB126, constB127)) | v135(constB126) | (~v137(constB127)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28174,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB126, constB127)) | v135(constB126) | (~v137(constB127))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28173, 28172])).
% 20.62/14.27 tff(28175,plain,
% 20.62/14.27 (v135(constB126) | (~v137(constB127))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28174, 22451, 15803])).
% 20.62/14.27 tff(28176,plain,
% 20.62/14.27 (~v137(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28175, 28171])).
% 20.62/14.27 tff(28177,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB127) | (~v153(constB127)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB127) | (~v153(constB127)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28178,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB127) | (~v153(constB127)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28179,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB127) | (~v153(constB127))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28178, 28177])).
% 20.62/14.27 tff(28180,plain,
% 20.62/14.27 (~v153(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28179, 22510, 28176])).
% 20.62/14.27 tff(28181,assumption,(v18(constB128)), introduced(assumption)).
% 20.62/14.27 tff(28182,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB128))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28183,plain,
% 20.62/14.27 ($false),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28182, 2627, 28181])).
% 20.62/14.27 tff(28184,plain,(~v18(constB128)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.27 tff(28185,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28186,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28187,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28186, 28185])).
% 20.62/14.27 tff(28188,plain,
% 20.62/14.27 (v22(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28187, 2640, 15942])).
% 20.62/14.27 tff(28189,plain,
% 20.62/14.27 (((~![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))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28190,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB128)) | (~v22(constB128)) | v18(constB128))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28191,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB128)) | (~v22(constB128)) | v18(constB128)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28190, 28189])).
% 20.62/14.27 tff(28192,plain,
% 20.62/14.27 ((~v19(constB128)) | v18(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28191, 2654, 28188])).
% 20.62/14.27 tff(28193,plain,
% 20.62/14.27 (~v19(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28192, 28184])).
% 20.62/14.27 tff(28194,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28195,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28196,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28195, 28194])).
% 20.62/14.27 tff(28197,plain,
% 20.62/14.27 (v13(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28196, 2669, 28193])).
% 20.62/14.27 tff(28198,plain,
% 20.62/14.27 (((~![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))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28199,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28200,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB127, constB128)) | (~v13(constB128)) | v9(constB127)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28199, 28198])).
% 20.62/14.27 tff(28201,plain,
% 20.62/14.27 ((~v13(constB128)) | v9(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28200, 2686, 15922])).
% 20.62/14.27 tff(28202,plain,
% 20.62/14.27 (v9(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28201, 28197])).
% 20.62/14.27 tff(28203,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v141(constB127))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB127) | (~v9(constB127)) | v141(constB127))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28204,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v141(constB127))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28205,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB127) | (~v9(constB127)) | v141(constB127)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28204, 28203])).
% 20.62/14.27 tff(28206,plain,
% 20.62/14.27 ((~v9(constB127)) | v141(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28205, 22396, 15800])).
% 20.62/14.27 tff(28207,plain,
% 20.62/14.27 (v141(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28206, 28202])).
% 20.62/14.27 tff(28208,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB127) | (~v141(constB127)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB127) | (~v141(constB127)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28209,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB127) | (~v141(constB127)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28210,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB127) | (~v141(constB127))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28209, 28208])).
% 20.62/14.27 tff(28211,plain,
% 20.62/14.27 (v140(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28210, 22408, 28207])).
% 20.62/14.27 tff(28212,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB127)) | (~v155(constB127)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB127)) | (~v155(constB127)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28213,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB127)) | (~v155(constB127)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28214,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB127)) | (~v155(constB127))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28213, 28212])).
% 20.62/14.27 tff(28215,plain,
% 20.62/14.27 (~v155(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28214, 22552, 28211])).
% 20.62/14.27 tff(28216,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB127) | v155(constB127) | (~v150(constB127)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB127) | v155(constB127) | (~v150(constB127)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28217,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB127) | v155(constB127) | (~v150(constB127)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28218,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB127) | v155(constB127) | (~v150(constB127))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28217, 28216])).
% 20.62/14.27 tff(28219,plain,
% 20.62/14.27 (v153(constB127) | (~v150(constB127))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28218, 22566, 28215])).
% 20.62/14.27 tff(28220,plain,
% 20.62/14.27 (~v150(constB127)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28219, 28180])).
% 20.62/14.27 tff(28221,plain,
% 20.62/14.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB127, constB128)) | v150(constB127) | (~v152(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB127, constB128)) | v150(constB127) | (~v152(constB128)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28222,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB127, constB128)) | v150(constB127) | (~v152(constB128)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28223,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB127, constB128)) | v150(constB127) | (~v152(constB128))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28222, 28221])).
% 20.62/14.27 tff(28224,plain,
% 20.62/14.27 (v150(constB127) | (~v152(constB128))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28223, 22581, 15922])).
% 20.62/14.27 tff(28225,plain,
% 20.62/14.27 (~v152(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28224, 28220])).
% 20.62/14.27 tff(28226,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB128) | (~v155(constB128)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB128) | (~v155(constB128)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28227,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB128) | (~v155(constB128)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28228,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB128) | (~v155(constB128))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28227, 28226])).
% 20.62/14.27 tff(28229,plain,
% 20.62/14.27 (~v155(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28228, 22593, 28225])).
% 20.62/14.27 tff(28230,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB128)) | (~v141(constB128)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB128)) | (~v141(constB128)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28231,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB128)) | (~v141(constB128)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28232,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB128)) | (~v141(constB128))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28231, 28230])).
% 20.62/14.27 tff(28233,plain,
% 20.62/14.27 (~v141(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28232, 22474, 15942])).
% 20.62/14.27 tff(28234,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB128) | (~v154(constB128)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB128) | (~v154(constB128)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28235,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB128) | (~v154(constB128)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28236,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB128) | (~v154(constB128))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28235, 28234])).
% 20.62/14.27 tff(28237,plain,
% 20.62/14.27 (~v154(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28236, 22608, 28233])).
% 20.62/14.27 tff(28238,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB128) | (~v153(constB128)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB128) | (~v153(constB128)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28239,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB128) | (~v153(constB128)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28240,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB128) | (~v153(constB128))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28239, 28238])).
% 20.62/14.27 tff(28241,plain,
% 20.62/14.27 (~v153(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28240, 22619, 28237])).
% 20.62/14.27 tff(28242,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB128) | v155(constB128) | (~v150(constB128)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB128) | v155(constB128) | (~v150(constB128)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28243,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB128) | v155(constB128) | (~v150(constB128)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28244,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB128) | v155(constB128) | (~v150(constB128))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28243, 28242])).
% 20.62/14.27 tff(28245,plain,
% 20.62/14.27 (v155(constB128) | (~v150(constB128))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28244, 22566, 28241])).
% 20.62/14.27 tff(28246,plain,
% 20.62/14.27 (~v150(constB128)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28245, 28229])).
% 20.62/14.27 tff(28247,plain,
% 20.62/14.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB128, constB129)) | v150(constB128) | (~v152(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB128, constB129)) | v150(constB128) | (~v152(constB129)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28248,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB128, constB129)) | v150(constB128) | (~v152(constB129)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28249,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB128, constB129)) | v150(constB128) | (~v152(constB129))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28248, 28247])).
% 20.62/14.27 tff(28250,plain,
% 20.62/14.27 (v150(constB128) | (~v152(constB129))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28249, 22581, 15984])).
% 20.62/14.27 tff(28251,plain,
% 20.62/14.27 (~v152(constB129)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28250, 28246])).
% 20.62/14.27 tff(28252,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB129) | (~v164(constB129)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB129) | (~v164(constB129)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28253,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB129) | (~v164(constB129)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28254,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB129) | (~v164(constB129))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28253, 28252])).
% 20.62/14.27 tff(28255,plain,
% 20.62/14.27 (~v164(constB129)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28254, 22640, 28251])).
% 20.62/14.27 tff(28256,plain,
% 20.62/14.27 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB129)) | (~v163(constB129)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB129)) | (~v163(constB129)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28257,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB129)) | (~v163(constB129)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28258,plain,
% 20.62/14.27 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB129)) | (~v163(constB129))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28257, 28256])).
% 20.62/14.27 tff(28259,plain,
% 20.62/14.27 (~v163(constB129)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28258, 22781, 25286])).
% 20.62/14.27 tff(28260,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB129)) | v163(constB129) | v164(constB129))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB129)) | v163(constB129) | v164(constB129))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28261,plain,
% 20.62/14.27 ((v164(constB129) | v163(constB129) | (~v160(constB129))) <=> ((~v160(constB129)) | v163(constB129) | v164(constB129))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28262,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB129) | v163(constB129) | (~v160(constB129)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB129)) | v163(constB129) | v164(constB129)))),
% 20.62/14.27 inference(monotonicity,[status(thm)],[28261])).
% 20.62/14.27 tff(28263,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB129) | v163(constB129) | (~v160(constB129)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB129)) | v163(constB129) | v164(constB129))),
% 20.62/14.27 inference(transitivity,[status(thm)],[28262, 28260])).
% 20.62/14.27 tff(28264,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB129) | v163(constB129) | (~v160(constB129)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28265,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB129)) | v163(constB129) | v164(constB129)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28264, 28263])).
% 20.62/14.27 tff(28266,plain,
% 20.62/14.27 ((~v160(constB129)) | v164(constB129)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28265, 22795, 28259])).
% 20.62/14.27 tff(28267,plain,
% 20.62/14.27 (~v160(constB129)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28266, 28255])).
% 20.62/14.27 tff(28268,plain,
% 20.62/14.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB129, constB130)) | v160(constB129) | (~v162(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB129, constB130)) | v160(constB129) | (~v162(constB130)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28269,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB129, constB130)) | v160(constB129) | (~v162(constB130)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28270,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB129, constB130)) | v160(constB129) | (~v162(constB130))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28269, 28268])).
% 20.62/14.27 tff(28271,plain,
% 20.62/14.27 (v160(constB129) | (~v162(constB130))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28270, 22813, 16105])).
% 20.62/14.27 tff(28272,plain,
% 20.62/14.27 (~v162(constB130)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28271, 28267])).
% 20.62/14.27 tff(28273,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB130) | (~v163(constB130)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB130) | (~v163(constB130)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28274,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB130) | (~v163(constB130)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28275,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB130) | (~v163(constB130))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 20.62/14.27 tff(28276,plain,
% 20.62/14.27 (~v163(constB130)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28275, 22825, 28272])).
% 20.62/14.27 tff(28277,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB130) | (~v154(constB130)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB130) | (~v154(constB130)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28278,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB130) | (~v154(constB130)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28279,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB130) | (~v154(constB130))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28278, 28277])).
% 20.62/14.27 tff(28280,plain,
% 20.62/14.27 (~v154(constB130)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28279, 22608, 25308])).
% 20.62/14.27 tff(28281,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB130) | (~v164(constB130)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB130) | (~v164(constB130)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28282,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB130) | (~v164(constB130)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28283,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB130) | (~v164(constB130))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28282, 28281])).
% 20.62/14.27 tff(28284,plain,
% 20.62/14.27 (~v164(constB130)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28283, 22836, 28280])).
% 20.62/14.27 tff(28285,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB130)) | v164(constB130) | v163(constB130))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB130)) | v164(constB130) | v163(constB130))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28286,plain,
% 20.62/14.27 ((v164(constB130) | v163(constB130) | (~v160(constB130))) <=> ((~v160(constB130)) | v164(constB130) | v163(constB130))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28287,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB130) | v163(constB130) | (~v160(constB130)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB130)) | v164(constB130) | v163(constB130)))),
% 20.62/14.27 inference(monotonicity,[status(thm)],[28286])).
% 20.62/14.27 tff(28288,plain,
% 20.62/14.27 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB130) | v163(constB130) | (~v160(constB130)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB130)) | v164(constB130) | v163(constB130))),
% 20.62/14.27 inference(transitivity,[status(thm)],[28287, 28285])).
% 20.62/14.27 tff(28289,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB130) | v163(constB130) | (~v160(constB130)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28290,plain,
% 20.62/14.27 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB130)) | v164(constB130) | v163(constB130)),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28289, 28288])).
% 20.62/14.27 tff(28291,plain,
% 20.62/14.27 ((~v160(constB130)) | v163(constB130)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28290, 22795, 28284])).
% 20.62/14.27 tff(28292,plain,
% 20.62/14.27 (~v160(constB130)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28291, 28276])).
% 20.62/14.27 tff(28293,plain,
% 20.62/14.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB130, constB131)) | v160(constB130) | (~v162(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB130, constB131)) | v160(constB130) | (~v162(constB131)))),
% 20.62/14.27 inference(rewrite,[status(thm)],[])).
% 20.62/14.27 tff(28294,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB130, constB131)) | v160(constB130) | (~v162(constB131)))),
% 20.62/14.27 inference(quant_inst,[status(thm)],[])).
% 20.62/14.27 tff(28295,plain,
% 20.62/14.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB130, constB131)) | v160(constB130) | (~v162(constB131))),
% 20.62/14.27 inference(modus_ponens,[status(thm)],[28294, 28293])).
% 20.62/14.27 tff(28296,plain,
% 20.62/14.27 (v160(constB130) | (~v162(constB131))),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28295, 22813, 16167])).
% 20.62/14.27 tff(28297,plain,
% 20.62/14.27 (~v162(constB131)),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28296, 28292])).
% 20.62/14.27 tff(28298,plain,
% 20.62/14.27 ($false),
% 20.62/14.27 inference(unit_resolution,[status(thm)],[28297, 28090])).
% 20.62/14.27 tff(28299,plain,(~(constB131 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.27 tff(28300,assumption,(constB56 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.27 tff(28301,plain,
% 20.62/14.27 (v1(constB56) <=> v1(sK0_VarCurr)),
% 20.62/14.27 inference(monotonicity,[status(thm)],[28300])).
% 20.62/14.27 tff(28302,plain,
% 20.62/14.28 (v1(sK0_VarCurr) <=> v1(constB56)),
% 20.62/14.28 inference(symmetry,[status(thm)],[28301])).
% 20.62/14.28 tff(28303,plain,
% 20.62/14.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB56))),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28302])).
% 20.62/14.28 tff(28304,plain,
% 20.62/14.28 (~v1(constB56)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[23510, 28303])).
% 20.62/14.28 tff(28305,plain,
% 20.62/14.28 ($false),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[6481, 28304])).
% 20.62/14.28 tff(28306,plain,(~(constB56 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.28 tff(28307,assumption,(constB22 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.28 tff(28308,plain,
% 20.62/14.28 (v1(constB22) <=> v1(sK0_VarCurr)),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28307])).
% 20.62/14.28 tff(28309,plain,
% 20.62/14.28 (v1(sK0_VarCurr) <=> v1(constB22)),
% 20.62/14.28 inference(symmetry,[status(thm)],[28308])).
% 20.62/14.28 tff(28310,plain,
% 20.62/14.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB22))),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28309])).
% 20.62/14.28 tff(28311,plain,
% 20.62/14.28 (~v1(constB22)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[23510, 28310])).
% 20.62/14.28 tff(28312,plain,
% 20.62/14.28 ($false),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[3038, 28311])).
% 20.62/14.28 tff(28313,plain,(~(constB22 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.28 tff(28314,assumption,(constB80 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.28 tff(28315,plain,
% 20.62/14.28 (v1(constB80) <=> v1(sK0_VarCurr)),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28314])).
% 20.62/14.28 tff(28316,plain,
% 20.62/14.28 (v1(sK0_VarCurr) <=> v1(constB80)),
% 20.62/14.28 inference(symmetry,[status(thm)],[28315])).
% 20.62/14.28 tff(28317,plain,
% 20.62/14.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB80))),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28316])).
% 20.62/14.28 tff(28318,plain,
% 20.62/14.28 (~v1(constB80)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[23510, 28317])).
% 20.62/14.28 tff(28319,plain,
% 20.62/14.28 ($false),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[9075, 28318])).
% 20.62/14.28 tff(28320,plain,(~(constB80 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.28 tff(28321,assumption,(constB10 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.28 tff(28322,plain,
% 20.62/14.28 (v1(constB10) <=> v1(sK0_VarCurr)),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28321])).
% 20.62/14.28 tff(28323,plain,
% 20.62/14.28 (v1(sK0_VarCurr) <=> v1(constB10)),
% 20.62/14.28 inference(symmetry,[status(thm)],[28322])).
% 20.62/14.28 tff(28324,plain,
% 20.62/14.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB10))),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28323])).
% 20.62/14.28 tff(28325,plain,
% 20.62/14.28 (~v1(constB10)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[23510, 28324])).
% 20.62/14.28 tff(28326,plain,
% 20.62/14.28 ($false),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[1504, 28325])).
% 20.62/14.28 tff(28327,plain,(~(constB10 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.28 tff(28328,assumption,(constB136 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.28 tff(28329,plain,
% 20.62/14.28 (v1(constB136) <=> v1(sK0_VarCurr)),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28328])).
% 20.62/14.28 tff(28330,plain,
% 20.62/14.28 (v1(sK0_VarCurr) <=> v1(constB136)),
% 20.62/14.28 inference(symmetry,[status(thm)],[28329])).
% 20.62/14.28 tff(28331,plain,
% 20.62/14.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB136))),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28330])).
% 20.62/14.28 tff(28332,plain,
% 20.62/14.28 (~v1(constB136)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[23510, 28331])).
% 20.62/14.28 tff(28333,plain,
% 20.62/14.28 ($false),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[16788, 28332])).
% 20.62/14.28 tff(28334,plain,(~(constB136 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.28 tff(28335,assumption,(constB176 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.28 tff(28336,plain,
% 20.62/14.28 (v1(constB176) <=> v1(sK0_VarCurr)),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28335])).
% 20.62/14.28 tff(28337,plain,
% 20.62/14.28 (v1(sK0_VarCurr) <=> v1(constB176)),
% 20.62/14.28 inference(symmetry,[status(thm)],[28336])).
% 20.62/14.28 tff(28338,plain,
% 20.62/14.28 ((~v1(sK0_VarCurr)) <=> (~v1(constB176))),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28337])).
% 20.62/14.28 tff(28339,plain,
% 20.62/14.28 (~v1(constB176)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[23510, 28338])).
% 20.62/14.28 tff(28340,plain,
% 20.62/14.28 ($false),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[20941, 28339])).
% 20.62/14.28 tff(28341,plain,(~(constB176 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.28 tff(28342,assumption,(constB127 = sK0_VarCurr), introduced(assumption)).
% 20.62/14.28 tff(28343,plain,
% 20.62/14.28 (v162(constB127) <=> v162(sK0_VarCurr)),
% 20.62/14.28 inference(monotonicity,[status(thm)],[28342])).
% 20.62/14.28 tff(28344,plain,
% 20.62/14.28 (v162(sK0_VarCurr) <=> v162(constB127)),
% 20.62/14.28 inference(symmetry,[status(thm)],[28343])).
% 20.62/14.28 tff(28345,plain,
% 20.62/14.28 (v162(constB127)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[22337, 28344])).
% 20.62/14.28 tff(28346,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB121) | (~v144(constB121)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB121) | (~v144(constB121)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28347,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB121) | (~v144(constB121)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28348,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB121) | (~v144(constB121))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28347, 28346])).
% 20.62/14.28 tff(28349,plain,
% 20.62/14.28 (~v144(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28348, 22349, 15238])).
% 20.62/14.28 tff(28350,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB121) | (~v142(constB121)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28351,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB121) | (~v142(constB121)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28352,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB121) | (~v142(constB121))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28351, 28350])).
% 20.62/14.28 tff(28353,plain,
% 20.62/14.28 (~v142(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28352, 22360, 28349])).
% 20.62/14.28 tff(28354,assumption,(v18(constB122)), introduced(assumption)).
% 20.62/14.28 tff(28355,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB122))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28356,plain,
% 20.62/14.28 ($false),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28355, 2627, 28354])).
% 20.62/14.28 tff(28357,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.28 tff(28358,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28359,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28360,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28359, 28358])).
% 20.62/14.28 tff(28361,plain,
% 20.62/14.28 (v22(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28360, 2640, 15344])).
% 20.62/14.28 tff(28362,plain,
% 20.62/14.28 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28363,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB122)) | (~v22(constB122)) | v18(constB122))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28364,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB122)) | (~v22(constB122)) | v18(constB122)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28363, 28362])).
% 20.62/14.28 tff(28365,plain,
% 20.62/14.28 ((~v19(constB122)) | v18(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28364, 2654, 28361])).
% 20.62/14.28 tff(28366,plain,
% 20.62/14.28 (~v19(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28365, 28357])).
% 20.62/14.28 tff(28367,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28368,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28369,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28368, 28367])).
% 20.62/14.28 tff(28370,plain,
% 20.62/14.28 (v13(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28369, 2669, 28366])).
% 20.62/14.28 tff(28371,plain,
% 20.62/14.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28372,plain,
% 20.62/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28373,plain,
% 20.62/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB121, constB122)) | (~v13(constB122)) | v9(constB121)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28372, 28371])).
% 20.62/14.28 tff(28374,plain,
% 20.62/14.28 ((~v13(constB122)) | v9(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28373, 2686, 15257])).
% 20.62/14.28 tff(28375,plain,
% 20.62/14.28 (v9(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28374, 28370])).
% 20.62/14.28 tff(28376,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v141(constB121))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB121) | (~v9(constB121)) | v141(constB121))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28377,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v141(constB121))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28378,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB121) | (~v9(constB121)) | v141(constB121)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28377, 28376])).
% 20.62/14.28 tff(28379,plain,
% 20.62/14.28 ((~v9(constB121)) | v141(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28378, 22396, 15159])).
% 20.62/14.28 tff(28380,plain,
% 20.62/14.28 (v141(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28379, 28375])).
% 20.62/14.28 tff(28381,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB121) | (~v141(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB121) | (~v141(constB121)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28382,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB121) | (~v141(constB121)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28383,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB121) | (~v141(constB121))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28382, 28381])).
% 20.62/14.28 tff(28384,plain,
% 20.62/14.28 (v140(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28383, 22408, 28380])).
% 20.62/14.28 tff(28385,plain,
% 20.62/14.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB121)) | (~v138(constB121)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB121)) | (~v138(constB121)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28386,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB121)) | (~v138(constB121)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28387,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB121)) | (~v138(constB121))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28386, 28385])).
% 20.62/14.28 tff(28388,plain,
% 20.62/14.28 (~v138(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28387, 22419, 28384])).
% 20.62/14.28 tff(28389,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB121) | v142(constB121) | (~v135(constB121)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB121) | v142(constB121) | (~v135(constB121)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28390,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB121) | v142(constB121) | (~v135(constB121)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28391,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB121) | v142(constB121) | (~v135(constB121))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28390, 28389])).
% 20.62/14.28 tff(28392,plain,
% 20.62/14.28 (v142(constB121) | (~v135(constB121))),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28391, 22436, 28388])).
% 20.62/14.28 tff(28393,plain,
% 20.62/14.28 (~v135(constB121)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28392, 28353])).
% 20.62/14.28 tff(28394,plain,
% 20.62/14.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28395,plain,
% 20.62/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28396,plain,
% 20.62/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28395, 28394])).
% 20.62/14.28 tff(28397,plain,
% 20.62/14.28 (v135(constB121) | (~v137(constB122))),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28396, 22451, 15257])).
% 20.62/14.28 tff(28398,plain,
% 20.62/14.28 (~v137(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28397, 28393])).
% 20.62/14.28 tff(28399,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB122) | (~v138(constB122)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB122) | (~v138(constB122)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28400,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB122) | (~v138(constB122)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28401,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB122) | (~v138(constB122))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28400, 28399])).
% 20.62/14.28 tff(28402,plain,
% 20.62/14.28 (~v138(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28401, 22463, 28398])).
% 20.62/14.28 tff(28403,plain,
% 20.62/14.28 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB122)) | (~v141(constB122)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB122)) | (~v141(constB122)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28404,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB122)) | (~v141(constB122)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28405,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB122)) | (~v141(constB122))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28404, 28403])).
% 20.62/14.28 tff(28406,plain,
% 20.62/14.28 (~v141(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28405, 22474, 15344])).
% 20.62/14.28 tff(28407,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB122) | (~v144(constB122)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB122) | (~v144(constB122)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28408,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB122) | (~v144(constB122)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28409,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB122) | (~v144(constB122))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28408, 28407])).
% 20.62/14.28 tff(28410,plain,
% 20.62/14.28 (~v144(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28409, 22485, 28406])).
% 20.62/14.28 tff(28411,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB122) | (~v142(constB122)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB122) | (~v142(constB122)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28412,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB122) | (~v142(constB122)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28413,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB122) | (~v142(constB122))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 20.62/14.28 tff(28414,plain,
% 20.62/14.28 (~v142(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28413, 22360, 28410])).
% 20.62/14.28 tff(28415,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB122) | v142(constB122) | (~v135(constB122)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB122) | v142(constB122) | (~v135(constB122)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28416,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB122) | v142(constB122) | (~v135(constB122)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28417,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB122) | v142(constB122) | (~v135(constB122))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 20.62/14.28 tff(28418,plain,
% 20.62/14.28 (v138(constB122) | (~v135(constB122))),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28417, 22436, 28414])).
% 20.62/14.28 tff(28419,plain,
% 20.62/14.28 (~v135(constB122)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28418, 28402])).
% 20.62/14.28 tff(28420,plain,
% 20.62/14.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28421,plain,
% 20.62/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28422,plain,
% 20.62/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28421, 28420])).
% 20.62/14.28 tff(28423,plain,
% 20.62/14.28 (v135(constB122) | (~v137(constB123))),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28422, 22451, 15371])).
% 20.62/14.28 tff(28424,plain,
% 20.62/14.28 (~v137(constB123)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28423, 28419])).
% 20.62/14.28 tff(28425,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB123) | (~v153(constB123)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB123) | (~v153(constB123)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28426,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB123) | (~v153(constB123)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28427,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB123) | (~v153(constB123))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28426, 28425])).
% 20.62/14.28 tff(28428,plain,
% 20.62/14.28 (~v153(constB123)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28427, 22510, 28424])).
% 20.62/14.28 tff(28429,plain,
% 20.62/14.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB119, bitIndex2)) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB119, bitIndex2)) | (~v145(constB119)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28430,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB119, bitIndex2)) | (~v145(constB119)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28431,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB119, bitIndex2)) | (~v145(constB119))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28430, 28429])).
% 20.62/14.28 tff(28432,plain,
% 20.62/14.28 (~v145(constB119)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28431, 10327, 14981])).
% 20.62/14.28 tff(28433,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB119) | (~v144(constB119)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB119) | (~v144(constB119)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28434,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB119) | (~v144(constB119)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28435,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB119) | (~v144(constB119))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28434, 28433])).
% 20.62/14.28 tff(28436,plain,
% 20.62/14.28 (~v144(constB119)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28435, 22349, 28432])).
% 20.62/14.28 tff(28437,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB119) | (~v142(constB119)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB119) | (~v142(constB119)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28438,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB119) | (~v142(constB119)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28439,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB119) | (~v142(constB119))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28438, 28437])).
% 20.62/14.28 tff(28440,plain,
% 20.62/14.28 (~v142(constB119)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28439, 22360, 28436])).
% 20.62/14.28 tff(28441,assumption,(v18(constB120)), introduced(assumption)).
% 20.62/14.28 tff(28442,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB120))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28443,plain,
% 20.62/14.28 ($false),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28442, 2627, 28441])).
% 20.62/14.28 tff(28444,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 20.62/14.28 tff(28445,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28446,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28447,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28446, 28445])).
% 20.62/14.28 tff(28448,plain,
% 20.62/14.28 (v22(constB120)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28447, 2640, 15104])).
% 20.62/14.28 tff(28449,plain,
% 20.62/14.28 (((~![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))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28450,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB120)) | (~v22(constB120)) | v18(constB120))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28451,plain,
% 20.62/14.28 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB120)) | (~v22(constB120)) | v18(constB120)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28450, 28449])).
% 20.62/14.28 tff(28452,plain,
% 20.62/14.28 ((~v19(constB120)) | v18(constB120)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28451, 2654, 28448])).
% 20.62/14.28 tff(28453,plain,
% 20.62/14.28 (~v19(constB120)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28452, 28444])).
% 20.62/14.28 tff(28454,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28455,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28456,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28455, 28454])).
% 20.62/14.28 tff(28457,plain,
% 20.62/14.28 (v13(constB120)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28456, 2669, 28453])).
% 20.62/14.28 tff(28458,plain,
% 20.62/14.28 (((~![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))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28459,plain,
% 20.62/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28460,plain,
% 20.62/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB119, constB120)) | (~v13(constB120)) | v9(constB119)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28459, 28458])).
% 20.62/14.28 tff(28461,plain,
% 20.62/14.28 ((~v13(constB120)) | v9(constB119)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28460, 2686, 15084])).
% 20.62/14.28 tff(28462,plain,
% 20.62/14.28 (v9(constB119)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28461, 28457])).
% 20.62/14.28 tff(28463,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v141(constB119))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB119) | (~v9(constB119)) | v141(constB119))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28464,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v141(constB119))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28465,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB119) | (~v9(constB119)) | v141(constB119)),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28464, 28463])).
% 20.62/14.28 tff(28466,plain,
% 20.62/14.28 ((~v9(constB119)) | v141(constB119)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28465, 22396, 14894])).
% 20.62/14.28 tff(28467,plain,
% 20.62/14.28 (v141(constB119)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28466, 28462])).
% 20.62/14.28 tff(28468,plain,
% 20.62/14.28 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB119) | (~v141(constB119)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB119) | (~v141(constB119)))),
% 20.62/14.28 inference(rewrite,[status(thm)],[])).
% 20.62/14.28 tff(28469,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB119) | (~v141(constB119)))),
% 20.62/14.28 inference(quant_inst,[status(thm)],[])).
% 20.62/14.28 tff(28470,plain,
% 20.62/14.28 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB119) | (~v141(constB119))),
% 20.62/14.28 inference(modus_ponens,[status(thm)],[28469, 28468])).
% 20.62/14.28 tff(28471,plain,
% 20.62/14.28 (v140(constB119)),
% 20.62/14.28 inference(unit_resolution,[status(thm)],[28470, 22408, 28467])).
% 20.62/14.28 tff(28472,plain,
% 20.62/14.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB119)) | (~v140(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB119)) | (~v140(constB119)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28473,plain,
% 20.71/14.28 (((~v140(constB119)) | (~v138(constB119))) <=> ((~v138(constB119)) | (~v140(constB119)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28474,plain,
% 20.71/14.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB119)) | (~v138(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB119)) | (~v140(constB119))))),
% 20.71/14.28 inference(monotonicity,[status(thm)],[28473])).
% 20.71/14.28 tff(28475,plain,
% 20.71/14.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB119)) | (~v138(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB119)) | (~v140(constB119)))),
% 20.71/14.28 inference(transitivity,[status(thm)],[28474, 28472])).
% 20.71/14.28 tff(28476,plain,
% 20.71/14.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB119)) | (~v138(constB119)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28477,plain,
% 20.71/14.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB119)) | (~v140(constB119))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28476, 28475])).
% 20.71/14.28 tff(28478,plain,
% 20.71/14.28 (~v138(constB119)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28477, 22419, 28471])).
% 20.71/14.28 tff(28479,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB119) | v142(constB119) | (~v135(constB119)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB119) | v142(constB119) | (~v135(constB119)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28480,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB119) | v142(constB119) | (~v135(constB119)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28481,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB119) | v142(constB119) | (~v135(constB119))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28480, 28479])).
% 20.71/14.28 tff(28482,plain,
% 20.71/14.28 (v142(constB119) | (~v135(constB119))),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28481, 22436, 28478])).
% 20.71/14.28 tff(28483,plain,
% 20.71/14.28 (~v135(constB119)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28482, 28440])).
% 20.71/14.28 tff(28484,plain,
% 20.71/14.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB119, constB120)) | v135(constB119) | (~v137(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB119, constB120)) | v135(constB119) | (~v137(constB120)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28485,plain,
% 20.71/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB119, constB120)) | v135(constB119) | (~v137(constB120)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28486,plain,
% 20.71/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB119, constB120)) | v135(constB119) | (~v137(constB120))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28485, 28484])).
% 20.71/14.28 tff(28487,plain,
% 20.71/14.28 (v135(constB119) | (~v137(constB120))),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28486, 22451, 15084])).
% 20.71/14.28 tff(28488,plain,
% 20.71/14.28 (~v137(constB120)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28487, 28483])).
% 20.71/14.28 tff(28489,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB120) | (~v138(constB120)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB120) | (~v138(constB120)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28490,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB120) | (~v138(constB120)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28491,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB120) | (~v138(constB120))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28490, 28489])).
% 20.71/14.28 tff(28492,plain,
% 20.71/14.28 (~v138(constB120)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28491, 22463, 28488])).
% 20.71/14.28 tff(28493,plain,
% 20.71/14.28 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB120)) | (~v141(constB120)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB120)) | (~v141(constB120)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28494,plain,
% 20.71/14.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB120)) | (~v141(constB120)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28495,plain,
% 20.71/14.28 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB120)) | (~v141(constB120))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28494, 28493])).
% 20.71/14.28 tff(28496,plain,
% 20.71/14.28 (~v141(constB120)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28495, 22474, 15104])).
% 20.71/14.28 tff(28497,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB120) | (~v144(constB120)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB120) | (~v144(constB120)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28498,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB120) | (~v144(constB120)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28499,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB120) | (~v144(constB120))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28498, 28497])).
% 20.71/14.28 tff(28500,plain,
% 20.71/14.28 (~v144(constB120)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28499, 22485, 28496])).
% 20.71/14.28 tff(28501,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB120) | (~v142(constB120)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB120) | (~v142(constB120)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28502,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB120) | (~v142(constB120)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28503,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB120) | (~v142(constB120))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28502, 28501])).
% 20.71/14.28 tff(28504,plain,
% 20.71/14.28 (~v142(constB120)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28503, 22360, 28500])).
% 20.71/14.28 tff(28505,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB120) | v142(constB120) | (~v135(constB120)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB120) | v142(constB120) | (~v135(constB120)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28506,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB120) | v142(constB120) | (~v135(constB120)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28507,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB120) | v142(constB120) | (~v135(constB120))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28506, 28505])).
% 20.71/14.28 tff(28508,plain,
% 20.71/14.28 (v138(constB120) | (~v135(constB120))),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28507, 22436, 28504])).
% 20.71/14.28 tff(28509,plain,
% 20.71/14.28 (~v135(constB120)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28508, 28492])).
% 20.71/14.28 tff(28510,plain,
% 20.71/14.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB120, constB121)) | v135(constB120) | (~v137(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB120, constB121)) | v135(constB120) | (~v137(constB121)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28511,plain,
% 20.71/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB120, constB121)) | v135(constB120) | (~v137(constB121)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28512,plain,
% 20.71/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB120, constB121)) | v135(constB120) | (~v137(constB121))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28511, 28510])).
% 20.71/14.28 tff(28513,plain,
% 20.71/14.28 (v135(constB120) | (~v137(constB121))),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28512, 22451, 15162])).
% 20.71/14.28 tff(28514,plain,
% 20.71/14.28 (~v137(constB121)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28513, 28509])).
% 20.71/14.28 tff(28515,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB121) | (~v153(constB121)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB121) | (~v153(constB121)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28516,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB121) | (~v153(constB121)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28517,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB121) | (~v153(constB121))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28516, 28515])).
% 20.71/14.28 tff(28518,plain,
% 20.71/14.28 (~v153(constB121)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28517, 22510, 28514])).
% 20.71/14.28 tff(28519,plain,
% 20.71/14.28 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB121)) | (~v155(constB121)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB121)) | (~v155(constB121)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28520,plain,
% 20.71/14.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB121)) | (~v155(constB121)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28521,plain,
% 20.71/14.28 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB121)) | (~v155(constB121))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28520, 28519])).
% 20.71/14.28 tff(28522,plain,
% 20.71/14.28 (~v155(constB121)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28521, 22552, 28384])).
% 20.71/14.28 tff(28523,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB121) | v155(constB121) | (~v150(constB121)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB121) | v155(constB121) | (~v150(constB121)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28524,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB121) | v155(constB121) | (~v150(constB121)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28525,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB121) | v155(constB121) | (~v150(constB121))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28524, 28523])).
% 20.71/14.28 tff(28526,plain,
% 20.71/14.28 (v153(constB121) | (~v150(constB121))),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28525, 22566, 28522])).
% 20.71/14.28 tff(28527,plain,
% 20.71/14.28 (~v150(constB121)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28526, 28518])).
% 20.71/14.28 tff(28528,plain,
% 20.71/14.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB121, constB122)) | v150(constB121) | (~v152(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB121, constB122)) | v150(constB121) | (~v152(constB122)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28529,plain,
% 20.71/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB121, constB122)) | v150(constB121) | (~v152(constB122)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28530,plain,
% 20.71/14.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB121, constB122)) | v150(constB121) | (~v152(constB122))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28529, 28528])).
% 20.71/14.28 tff(28531,plain,
% 20.71/14.28 (v150(constB121) | (~v152(constB122))),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28530, 22581, 15257])).
% 20.71/14.28 tff(28532,plain,
% 20.71/14.28 (~v152(constB122)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28531, 28527])).
% 20.71/14.28 tff(28533,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB122) | (~v155(constB122)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB122) | (~v155(constB122)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28534,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB122) | (~v155(constB122)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28535,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB122) | (~v155(constB122))),
% 20.71/14.28 inference(modus_ponens,[status(thm)],[28534, 28533])).
% 20.71/14.28 tff(28536,plain,
% 20.71/14.28 (~v155(constB122)),
% 20.71/14.28 inference(unit_resolution,[status(thm)],[28535, 22593, 28532])).
% 20.71/14.28 tff(28537,plain,
% 20.71/14.28 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB122) | (~v154(constB122)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB122) | (~v154(constB122)))),
% 20.71/14.28 inference(rewrite,[status(thm)],[])).
% 20.71/14.28 tff(28538,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB122) | (~v154(constB122)))),
% 20.71/14.28 inference(quant_inst,[status(thm)],[])).
% 20.71/14.28 tff(28539,plain,
% 20.71/14.28 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB122) | (~v154(constB122))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28538, 28537])).
% 20.71/14.29 tff(28540,plain,
% 20.71/14.29 (~v154(constB122)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28539, 22608, 28406])).
% 20.71/14.29 tff(28541,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB122) | (~v153(constB122)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB122) | (~v153(constB122)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28542,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB122) | (~v153(constB122)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28543,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB122) | (~v153(constB122))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 20.71/14.29 tff(28544,plain,
% 20.71/14.29 (~v153(constB122)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28543, 22619, 28540])).
% 20.71/14.29 tff(28545,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB122) | v155(constB122) | (~v150(constB122)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB122) | v155(constB122) | (~v150(constB122)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28546,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB122) | v155(constB122) | (~v150(constB122)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28547,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB122) | v155(constB122) | (~v150(constB122))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28546, 28545])).
% 20.71/14.29 tff(28548,plain,
% 20.71/14.29 (v155(constB122) | (~v150(constB122))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28547, 22566, 28544])).
% 20.71/14.29 tff(28549,plain,
% 20.71/14.29 (~v150(constB122)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28548, 28536])).
% 20.71/14.29 tff(28550,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB122, constB123)) | v150(constB122) | (~v152(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB122, constB123)) | v150(constB122) | (~v152(constB123)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28551,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB122, constB123)) | v150(constB122) | (~v152(constB123)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28552,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB122, constB123)) | v150(constB122) | (~v152(constB123))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28551, 28550])).
% 20.71/14.29 tff(28553,plain,
% 20.71/14.29 (v150(constB122) | (~v152(constB123))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28552, 22581, 15371])).
% 20.71/14.29 tff(28554,plain,
% 20.71/14.29 (~v152(constB123)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28553, 28549])).
% 20.71/14.29 tff(28555,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB123) | (~v155(constB123)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB123) | (~v155(constB123)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28556,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB123) | (~v155(constB123)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28557,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB123) | (~v155(constB123))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 20.71/14.29 tff(28558,plain,
% 20.71/14.29 (~v155(constB123)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28557, 22593, 28554])).
% 20.71/14.29 tff(28559,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB123) | v155(constB123) | (~v150(constB123)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB123) | v155(constB123) | (~v150(constB123)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28560,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB123) | v155(constB123) | (~v150(constB123)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28561,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB123) | v155(constB123) | (~v150(constB123))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28560, 28559])).
% 20.71/14.29 tff(28562,plain,
% 20.71/14.29 (v153(constB123) | (~v150(constB123))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28561, 22566, 28558])).
% 20.71/14.29 tff(28563,plain,
% 20.71/14.29 (~v150(constB123)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28562, 28428])).
% 20.71/14.29 tff(28564,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28565,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28566,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28565, 28564])).
% 20.71/14.29 tff(28567,plain,
% 20.71/14.29 (v150(constB123) | (~v152(constB124))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28566, 22581, 15548])).
% 20.71/14.29 tff(28568,plain,
% 20.71/14.29 (~v152(constB124)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28567, 28563])).
% 20.71/14.29 tff(28569,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB124) | (~v155(constB124)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB124) | (~v155(constB124)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28570,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB124) | (~v155(constB124)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28571,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB124) | (~v155(constB124))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28570, 28569])).
% 20.71/14.29 tff(28572,plain,
% 20.71/14.29 (~v155(constB124)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28571, 22593, 28568])).
% 20.71/14.29 tff(28573,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB124)) | (~v141(constB124)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB124)) | (~v141(constB124)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28574,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB124)) | (~v141(constB124)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28575,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB124)) | (~v141(constB124))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28574, 28573])).
% 20.71/14.29 tff(28576,plain,
% 20.71/14.29 (~v141(constB124)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28575, 22474, 15568])).
% 20.71/14.29 tff(28577,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB124) | (~v154(constB124)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB124) | (~v154(constB124)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28578,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB124) | (~v154(constB124)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28579,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB124) | (~v154(constB124))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28578, 28577])).
% 20.71/14.29 tff(28580,plain,
% 20.71/14.29 (~v154(constB124)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28579, 22608, 28576])).
% 20.71/14.29 tff(28581,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB124) | (~v153(constB124)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB124) | (~v153(constB124)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28582,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB124) | (~v153(constB124)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28583,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB124) | (~v153(constB124))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28582, 28581])).
% 20.71/14.29 tff(28584,plain,
% 20.71/14.29 (~v153(constB124)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28583, 22619, 28580])).
% 20.71/14.29 tff(28585,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB124) | v155(constB124) | (~v150(constB124)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB124) | v155(constB124) | (~v150(constB124)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28586,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB124) | v155(constB124) | (~v150(constB124)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28587,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB124) | v155(constB124) | (~v150(constB124))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28586, 28585])).
% 20.71/14.29 tff(28588,plain,
% 20.71/14.29 (v155(constB124) | (~v150(constB124))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28587, 22566, 28584])).
% 20.71/14.29 tff(28589,plain,
% 20.71/14.29 (~v150(constB124)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28588, 28572])).
% 20.71/14.29 tff(28590,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28591,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28592,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28591, 28590])).
% 20.71/14.29 tff(28593,plain,
% 20.71/14.29 (v150(constB124) | (~v152(constB125))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28592, 22581, 15613])).
% 20.71/14.29 tff(28594,plain,
% 20.71/14.29 (~v152(constB125)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28593, 28589])).
% 20.71/14.29 tff(28595,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB125) | (~v164(constB125)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB125) | (~v164(constB125)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28596,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB125) | (~v164(constB125)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28597,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB125) | (~v164(constB125))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28596, 28595])).
% 20.71/14.29 tff(28598,plain,
% 20.71/14.29 (~v164(constB125)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28597, 22640, 28594])).
% 20.71/14.29 tff(28599,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB125)) | (~v163(constB125)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB125)) | (~v163(constB125)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28600,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB125)) | (~v163(constB125)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28601,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB125)) | (~v163(constB125))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 20.71/14.29 tff(28602,plain,
% 20.71/14.29 (~v163(constB125)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28601, 22781, 28133])).
% 20.71/14.29 tff(28603,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB125)) | v164(constB125) | v163(constB125))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB125)) | v164(constB125) | v163(constB125))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28604,plain,
% 20.71/14.29 ((v164(constB125) | v163(constB125) | (~v160(constB125))) <=> ((~v160(constB125)) | v164(constB125) | v163(constB125))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28605,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB125) | v163(constB125) | (~v160(constB125)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB125)) | v164(constB125) | v163(constB125)))),
% 20.71/14.29 inference(monotonicity,[status(thm)],[28604])).
% 20.71/14.29 tff(28606,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB125) | v163(constB125) | (~v160(constB125)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB125)) | v164(constB125) | v163(constB125))),
% 20.71/14.29 inference(transitivity,[status(thm)],[28605, 28603])).
% 20.71/14.29 tff(28607,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB125) | v163(constB125) | (~v160(constB125)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28608,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB125)) | v164(constB125) | v163(constB125)),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28607, 28606])).
% 20.71/14.29 tff(28609,plain,
% 20.71/14.29 ((~v160(constB125)) | v164(constB125)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28608, 22795, 28602])).
% 20.71/14.29 tff(28610,plain,
% 20.71/14.29 (~v160(constB125)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28609, 28598])).
% 20.71/14.29 tff(28611,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28612,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28613,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28612, 28611])).
% 20.71/14.29 tff(28614,plain,
% 20.71/14.29 (v160(constB125) | (~v162(constB126))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28613, 22813, 15738])).
% 20.71/14.29 tff(28615,plain,
% 20.71/14.29 (~v162(constB126)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28614, 28610])).
% 20.71/14.29 tff(28616,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB126) | (~v163(constB126)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB126) | (~v163(constB126)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28617,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB126) | (~v163(constB126)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28618,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB126) | (~v163(constB126))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28617, 28616])).
% 20.71/14.29 tff(28619,plain,
% 20.71/14.29 (~v163(constB126)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28618, 22825, 28615])).
% 20.71/14.29 tff(28620,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB126) | (~v154(constB126)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB126) | (~v154(constB126)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28621,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB126) | (~v154(constB126)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28622,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB126) | (~v154(constB126))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28621, 28620])).
% 20.71/14.29 tff(28623,plain,
% 20.71/14.29 (~v154(constB126)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28622, 22608, 28158])).
% 20.71/14.29 tff(28624,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB126) | (~v164(constB126)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB126) | (~v164(constB126)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28625,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB126) | (~v164(constB126)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28626,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB126) | (~v164(constB126))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 20.71/14.29 tff(28627,plain,
% 20.71/14.29 (~v164(constB126)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28626, 22836, 28623])).
% 20.71/14.29 tff(28628,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB126)) | v164(constB126) | v163(constB126))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB126)) | v164(constB126) | v163(constB126))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28629,plain,
% 20.71/14.29 ((v164(constB126) | v163(constB126) | (~v160(constB126))) <=> ((~v160(constB126)) | v164(constB126) | v163(constB126))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28630,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB126) | v163(constB126) | (~v160(constB126)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB126)) | v164(constB126) | v163(constB126)))),
% 20.71/14.29 inference(monotonicity,[status(thm)],[28629])).
% 20.71/14.29 tff(28631,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB126) | v163(constB126) | (~v160(constB126)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB126)) | v164(constB126) | v163(constB126))),
% 20.71/14.29 inference(transitivity,[status(thm)],[28630, 28628])).
% 20.71/14.29 tff(28632,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB126) | v163(constB126) | (~v160(constB126)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28633,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB126)) | v164(constB126) | v163(constB126)),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28632, 28631])).
% 20.71/14.29 tff(28634,plain,
% 20.71/14.29 ((~v160(constB126)) | v163(constB126)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28633, 22795, 28627])).
% 20.71/14.29 tff(28635,plain,
% 20.71/14.29 (~v160(constB126)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28634, 28619])).
% 20.71/14.29 tff(28636,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28637,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28638,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28637, 28636])).
% 20.71/14.29 tff(28639,plain,
% 20.71/14.29 (v160(constB126) | (~v162(constB127))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28638, 22813, 15803])).
% 20.71/14.29 tff(28640,plain,
% 20.71/14.29 (~v162(constB127)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28639, 28635])).
% 20.71/14.29 tff(28641,plain,
% 20.71/14.29 ($false),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28640, 28345])).
% 20.71/14.29 tff(28642,plain,(~(constB127 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.71/14.29 tff(28643,assumption,(constB149 = sK0_VarCurr), introduced(assumption)).
% 20.71/14.29 tff(28644,plain,
% 20.71/14.29 (v162(constB149) <=> v162(sK0_VarCurr)),
% 20.71/14.29 inference(monotonicity,[status(thm)],[28643])).
% 20.71/14.29 tff(28645,plain,
% 20.71/14.29 (v162(sK0_VarCurr) <=> v162(constB149)),
% 20.71/14.29 inference(symmetry,[status(thm)],[28644])).
% 20.71/14.29 tff(28646,plain,
% 20.71/14.29 (v162(constB149)),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[22337, 28645])).
% 20.71/14.29 tff(28647,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB143, bitIndex2)) | (~v145(constB143)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28648,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v145(constB143)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28649,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB143, bitIndex2)) | (~v145(constB143))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28648, 28647])).
% 20.71/14.29 tff(28650,plain,
% 20.71/14.29 (~v145(constB143)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28649, 10327, 17512])).
% 20.71/14.29 tff(28651,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB143) | (~v144(constB143)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB143) | (~v144(constB143)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28652,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB143) | (~v144(constB143)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28653,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB143) | (~v144(constB143))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28652, 28651])).
% 20.71/14.29 tff(28654,plain,
% 20.71/14.29 (~v144(constB143)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28653, 22349, 28650])).
% 20.71/14.29 tff(28655,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB143) | (~v142(constB143)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB143) | (~v142(constB143)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28656,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB143) | (~v142(constB143)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28657,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB143) | (~v142(constB143))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28656, 28655])).
% 20.71/14.29 tff(28658,plain,
% 20.71/14.29 (~v142(constB143)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28657, 22360, 28654])).
% 20.71/14.29 tff(28659,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB143)) | (~v140(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB143)) | (~v140(constB143)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28660,plain,
% 20.71/14.29 (((~v140(constB143)) | (~v138(constB143))) <=> ((~v138(constB143)) | (~v140(constB143)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28661,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB143)) | (~v138(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB143)) | (~v140(constB143))))),
% 20.71/14.29 inference(monotonicity,[status(thm)],[28660])).
% 20.71/14.29 tff(28662,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB143)) | (~v138(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB143)) | (~v140(constB143)))),
% 20.71/14.29 inference(transitivity,[status(thm)],[28661, 28659])).
% 20.71/14.29 tff(28663,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB143)) | (~v138(constB143)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28664,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB143)) | (~v140(constB143))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28663, 28662])).
% 20.71/14.29 tff(28665,plain,
% 20.71/14.29 (~v138(constB143)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28664, 22419, 24341])).
% 20.71/14.29 tff(28666,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB143) | v142(constB143) | (~v135(constB143)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB143) | v142(constB143) | (~v135(constB143)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28667,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB143) | v142(constB143) | (~v135(constB143)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28668,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB143) | v142(constB143) | (~v135(constB143))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28667, 28666])).
% 20.71/14.29 tff(28669,plain,
% 20.71/14.29 (v142(constB143) | (~v135(constB143))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28668, 22436, 28665])).
% 20.71/14.29 tff(28670,plain,
% 20.71/14.29 (~v135(constB143)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28669, 28658])).
% 20.71/14.29 tff(28671,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28672,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28673,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28672, 28671])).
% 20.71/14.29 tff(28674,plain,
% 20.71/14.29 (v135(constB143) | (~v137(constB144))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28673, 22451, 17656])).
% 20.71/14.29 tff(28675,plain,
% 20.71/14.29 (~v137(constB144)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28674, 28670])).
% 20.71/14.29 tff(28676,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB144) | (~v138(constB144)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB144) | (~v138(constB144)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28677,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB144) | (~v138(constB144)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28678,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB144) | (~v138(constB144))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28677, 28676])).
% 20.71/14.29 tff(28679,plain,
% 20.71/14.29 (~v138(constB144)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28678, 22463, 28675])).
% 20.71/14.29 tff(28680,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB144) | (~v144(constB144)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB144) | (~v144(constB144)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28681,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB144) | (~v144(constB144)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28682,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB144) | (~v144(constB144))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28681, 28680])).
% 20.71/14.29 tff(28683,plain,
% 20.71/14.29 (~v144(constB144)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28682, 22485, 24363])).
% 20.71/14.29 tff(28684,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB144) | (~v142(constB144)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB144) | (~v142(constB144)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28685,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB144) | (~v142(constB144)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28686,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB144) | (~v142(constB144))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28685, 28684])).
% 20.71/14.29 tff(28687,plain,
% 20.71/14.29 (~v142(constB144)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28686, 22360, 28683])).
% 20.71/14.29 tff(28688,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB144) | v142(constB144) | (~v135(constB144)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB144) | v142(constB144) | (~v135(constB144)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28689,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB144) | v142(constB144) | (~v135(constB144)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28690,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB144) | v142(constB144) | (~v135(constB144))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28689, 28688])).
% 20.71/14.29 tff(28691,plain,
% 20.71/14.29 (v138(constB144) | (~v135(constB144))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28690, 22436, 28687])).
% 20.71/14.29 tff(28692,plain,
% 20.71/14.29 (~v135(constB144)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28691, 28679])).
% 20.71/14.29 tff(28693,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28694,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28695,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28694, 28693])).
% 20.71/14.29 tff(28696,plain,
% 20.71/14.29 (v135(constB144) | (~v137(constB145))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28695, 22451, 17718])).
% 20.71/14.29 tff(28697,plain,
% 20.71/14.29 (~v137(constB145)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28696, 28692])).
% 20.71/14.29 tff(28698,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB145) | (~v153(constB145)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB145) | (~v153(constB145)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28699,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB145) | (~v153(constB145)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28700,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB145) | (~v153(constB145))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28699, 28698])).
% 20.71/14.29 tff(28701,plain,
% 20.71/14.29 (~v153(constB145)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28700, 22510, 28697])).
% 20.71/14.29 tff(28702,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB145)) | (~v155(constB145)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB145)) | (~v155(constB145)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28703,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB145)) | (~v155(constB145)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28704,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB145)) | (~v155(constB145))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28703, 28702])).
% 20.71/14.29 tff(28705,plain,
% 20.71/14.29 (~v155(constB145)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28704, 22552, 24416])).
% 20.71/14.29 tff(28706,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB145) | v155(constB145) | (~v150(constB145)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB145) | v155(constB145) | (~v150(constB145)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28707,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB145) | v155(constB145) | (~v150(constB145)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28708,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB145) | v155(constB145) | (~v150(constB145))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28707, 28706])).
% 20.71/14.29 tff(28709,plain,
% 20.71/14.29 (v153(constB145) | (~v150(constB145))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28708, 22566, 28705])).
% 20.71/14.29 tff(28710,plain,
% 20.71/14.29 (~v150(constB145)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28709, 28701])).
% 20.71/14.29 tff(28711,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28712,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28713,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28712, 28711])).
% 20.71/14.29 tff(28714,plain,
% 20.71/14.29 (v150(constB145) | (~v152(constB146))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28713, 22581, 17828])).
% 20.71/14.29 tff(28715,plain,
% 20.71/14.29 (~v152(constB146)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28714, 28710])).
% 20.71/14.29 tff(28716,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB146) | (~v155(constB146)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB146) | (~v155(constB146)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28717,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB146) | (~v155(constB146)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28718,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB146) | (~v155(constB146))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28717, 28716])).
% 20.71/14.29 tff(28719,plain,
% 20.71/14.29 (~v155(constB146)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28718, 22593, 28715])).
% 20.71/14.29 tff(28720,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB146) | (~v153(constB146)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB146) | (~v153(constB146)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28721,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB146) | (~v153(constB146)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28722,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB146) | (~v153(constB146))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28721, 28720])).
% 20.71/14.29 tff(28723,plain,
% 20.71/14.29 (~v153(constB146)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28722, 22619, 24445])).
% 20.71/14.29 tff(28724,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB146) | v155(constB146) | (~v150(constB146)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB146) | v155(constB146) | (~v150(constB146)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28725,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB146) | v155(constB146) | (~v150(constB146)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28726,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB146) | v155(constB146) | (~v150(constB146))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28725, 28724])).
% 20.71/14.29 tff(28727,plain,
% 20.71/14.29 (v155(constB146) | (~v150(constB146))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28726, 22566, 28723])).
% 20.71/14.29 tff(28728,plain,
% 20.71/14.29 (~v150(constB146)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28727, 28719])).
% 20.71/14.29 tff(28729,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28730,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28731,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28730, 28729])).
% 20.71/14.29 tff(28732,plain,
% 20.71/14.29 (v150(constB146) | (~v152(constB147))),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28731, 22581, 17920])).
% 20.71/14.29 tff(28733,plain,
% 20.71/14.29 (~v152(constB147)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28732, 28728])).
% 20.71/14.29 tff(28734,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB147) | (~v164(constB147)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB147) | (~v164(constB147)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28735,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB147) | (~v164(constB147)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28736,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB147) | (~v164(constB147))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28735, 28734])).
% 20.71/14.29 tff(28737,plain,
% 20.71/14.29 (~v164(constB147)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28736, 22640, 28733])).
% 20.71/14.29 tff(28738,assumption,(v18(constB148)), introduced(assumption)).
% 20.71/14.29 tff(28739,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB148))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28740,plain,
% 20.71/14.29 ($false),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28739, 2627, 28738])).
% 20.71/14.29 tff(28741,plain,(~v18(constB148)), inference(lemma,lemma(discharge,[]))).
% 20.71/14.29 tff(28742,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28743,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28744,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28743, 28742])).
% 20.71/14.29 tff(28745,plain,
% 20.71/14.29 (v22(constB148)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28744, 2640, 18072])).
% 20.71/14.29 tff(28746,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB148)) | (~v22(constB148)) | v18(constB148))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB148)) | (~v22(constB148)) | v18(constB148))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28747,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB148)) | (~v22(constB148)) | v18(constB148))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28748,plain,
% 20.71/14.29 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB148)) | (~v22(constB148)) | v18(constB148)),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28747, 28746])).
% 20.71/14.29 tff(28749,plain,
% 20.71/14.29 ((~v19(constB148)) | v18(constB148)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28748, 2654, 28745])).
% 20.71/14.29 tff(28750,plain,
% 20.71/14.29 (~v19(constB148)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28749, 28741])).
% 20.71/14.29 tff(28751,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28752,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28753,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148)),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28752, 28751])).
% 20.71/14.29 tff(28754,plain,
% 20.71/14.29 (v13(constB148)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28753, 2669, 28750])).
% 20.71/14.29 tff(28755,plain,
% 20.71/14.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28756,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28757,plain,
% 20.71/14.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB147, constB148)) | (~v13(constB148)) | v9(constB147)),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28756, 28755])).
% 20.71/14.29 tff(28758,plain,
% 20.71/14.29 ((~v13(constB148)) | v9(constB147)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28757, 2686, 18052])).
% 20.71/14.29 tff(28759,plain,
% 20.71/14.29 (v9(constB147)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28758, 28754])).
% 20.71/14.29 tff(28760,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v141(constB147))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB147) | (~v9(constB147)) | v141(constB147))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28761,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v141(constB147))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28762,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB147) | (~v9(constB147)) | v141(constB147)),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28761, 28760])).
% 20.71/14.29 tff(28763,plain,
% 20.71/14.29 ((~v9(constB147)) | v141(constB147)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28762, 22396, 17917])).
% 20.71/14.29 tff(28764,plain,
% 20.71/14.29 (v141(constB147)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28763, 28759])).
% 20.71/14.29 tff(28765,plain,
% 20.71/14.29 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB147) | (~v141(constB147)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB147) | (~v141(constB147)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28766,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB147) | (~v141(constB147)))),
% 20.71/14.29 inference(quant_inst,[status(thm)],[])).
% 20.71/14.29 tff(28767,plain,
% 20.71/14.29 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB147) | (~v141(constB147))),
% 20.71/14.29 inference(modus_ponens,[status(thm)],[28766, 28765])).
% 20.71/14.29 tff(28768,plain,
% 20.71/14.29 (v140(constB147)),
% 20.71/14.29 inference(unit_resolution,[status(thm)],[28767, 22408, 28764])).
% 20.71/14.29 tff(28769,plain,
% 20.71/14.29 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB147)) | (~v163(constB147)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB147)) | (~v163(constB147)))),
% 20.71/14.29 inference(rewrite,[status(thm)],[])).
% 20.71/14.29 tff(28770,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB147)) | (~v163(constB147)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28771,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB147)) | (~v163(constB147))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28770, 28769])).
% 20.71/14.30 tff(28772,plain,
% 20.71/14.30 (~v163(constB147)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28771, 22781, 28768])).
% 20.71/14.30 tff(28773,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB147)) | v164(constB147) | v163(constB147))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB147)) | v164(constB147) | v163(constB147))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28774,plain,
% 20.71/14.30 ((v164(constB147) | v163(constB147) | (~v160(constB147))) <=> ((~v160(constB147)) | v164(constB147) | v163(constB147))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28775,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB147) | v163(constB147) | (~v160(constB147)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB147)) | v164(constB147) | v163(constB147)))),
% 20.71/14.30 inference(monotonicity,[status(thm)],[28774])).
% 20.71/14.30 tff(28776,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB147) | v163(constB147) | (~v160(constB147)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB147)) | v164(constB147) | v163(constB147))),
% 20.71/14.30 inference(transitivity,[status(thm)],[28775, 28773])).
% 20.71/14.30 tff(28777,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB147) | v163(constB147) | (~v160(constB147)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28778,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB147)) | v164(constB147) | v163(constB147)),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28777, 28776])).
% 20.71/14.30 tff(28779,plain,
% 20.71/14.30 ((~v160(constB147)) | v164(constB147)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28778, 22795, 28772])).
% 20.71/14.30 tff(28780,plain,
% 20.71/14.30 (~v160(constB147)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28779, 28737])).
% 20.71/14.30 tff(28781,plain,
% 20.71/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28782,plain,
% 20.71/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28783,plain,
% 20.71/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28782, 28781])).
% 20.71/14.30 tff(28784,plain,
% 20.71/14.30 (v160(constB147) | (~v162(constB148))),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28783, 22813, 18052])).
% 20.71/14.30 tff(28785,plain,
% 20.71/14.30 (~v162(constB148)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28784, 28780])).
% 20.71/14.30 tff(28786,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB148) | (~v163(constB148)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB148) | (~v163(constB148)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28787,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB148) | (~v163(constB148)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28788,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB148) | (~v163(constB148))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28787, 28786])).
% 20.71/14.30 tff(28789,plain,
% 20.71/14.30 (~v163(constB148)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28788, 22825, 28785])).
% 20.71/14.30 tff(28790,plain,
% 20.71/14.30 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB148)) | (~v141(constB148)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB148)) | (~v141(constB148)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28791,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB148)) | (~v141(constB148)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28792,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB148)) | (~v141(constB148))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28791, 28790])).
% 20.71/14.30 tff(28793,plain,
% 20.71/14.30 (~v141(constB148)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28792, 22474, 18072])).
% 20.71/14.30 tff(28794,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB148) | (~v154(constB148)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB148) | (~v154(constB148)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28795,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB148) | (~v154(constB148)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28796,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB148) | (~v154(constB148))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28795, 28794])).
% 20.71/14.30 tff(28797,plain,
% 20.71/14.30 (~v154(constB148)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28796, 22608, 28793])).
% 20.71/14.30 tff(28798,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB148) | (~v164(constB148)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB148) | (~v164(constB148)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28799,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB148) | (~v164(constB148)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28800,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB148) | (~v164(constB148))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28799, 28798])).
% 20.71/14.30 tff(28801,plain,
% 20.71/14.30 (~v164(constB148)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28800, 22836, 28797])).
% 20.71/14.30 tff(28802,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB148)) | v164(constB148) | v163(constB148))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB148)) | v164(constB148) | v163(constB148))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28803,plain,
% 20.71/14.30 ((v164(constB148) | v163(constB148) | (~v160(constB148))) <=> ((~v160(constB148)) | v164(constB148) | v163(constB148))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28804,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB148) | v163(constB148) | (~v160(constB148)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB148)) | v164(constB148) | v163(constB148)))),
% 20.71/14.30 inference(monotonicity,[status(thm)],[28803])).
% 20.71/14.30 tff(28805,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB148) | v163(constB148) | (~v160(constB148)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB148)) | v164(constB148) | v163(constB148))),
% 20.71/14.30 inference(transitivity,[status(thm)],[28804, 28802])).
% 20.71/14.30 tff(28806,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB148) | v163(constB148) | (~v160(constB148)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28807,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB148)) | v164(constB148) | v163(constB148)),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28806, 28805])).
% 20.71/14.30 tff(28808,plain,
% 20.71/14.30 ((~v160(constB148)) | v163(constB148)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28807, 22795, 28801])).
% 20.71/14.30 tff(28809,plain,
% 20.71/14.30 (~v160(constB148)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28808, 28789])).
% 20.71/14.30 tff(28810,plain,
% 20.71/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28811,plain,
% 20.71/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28812,plain,
% 20.71/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28811, 28810])).
% 20.71/14.30 tff(28813,plain,
% 20.71/14.30 (v160(constB148) | (~v162(constB149))),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28812, 22813, 18117])).
% 20.71/14.30 tff(28814,plain,
% 20.71/14.30 (~v162(constB149)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28813, 28809])).
% 20.71/14.30 tff(28815,plain,
% 20.71/14.30 ($false),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28814, 28646])).
% 20.71/14.30 tff(28816,plain,(~(constB149 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.71/14.30 tff(28817,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 20.71/14.30 tff(28818,plain,
% 20.71/14.30 (v162(constB61) <=> v162(sK0_VarCurr)),
% 20.71/14.30 inference(monotonicity,[status(thm)],[28817])).
% 20.71/14.30 tff(28819,plain,
% 20.71/14.30 (v162(sK0_VarCurr) <=> v162(constB61)),
% 20.71/14.30 inference(symmetry,[status(thm)],[28818])).
% 20.71/14.30 tff(28820,plain,
% 20.71/14.30 (v162(constB61)),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[22337, 28819])).
% 20.71/14.30 tff(28821,plain,
% 20.71/14.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB55, bitIndex1)) | (~v145(constB55)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB55, bitIndex1)) | (~v145(constB55)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28822,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB55, bitIndex1)) | (~v145(constB55)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28823,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB55, bitIndex1)) | (~v145(constB55))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28822, 28821])).
% 20.71/14.30 tff(28824,plain,
% 20.71/14.30 (~v145(constB55)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28823, 2012, 6391])).
% 20.71/14.30 tff(28825,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB55) | (~v144(constB55)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB55) | (~v144(constB55)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28826,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB55) | (~v144(constB55)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28827,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB55) | (~v144(constB55))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28826, 28825])).
% 20.71/14.30 tff(28828,plain,
% 20.71/14.30 (~v144(constB55)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28827, 22349, 28824])).
% 20.71/14.30 tff(28829,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB55) | (~v142(constB55)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB55) | (~v142(constB55)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28830,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB55) | (~v142(constB55)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28831,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB55) | (~v142(constB55))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28830, 28829])).
% 20.71/14.30 tff(28832,plain,
% 20.71/14.30 (~v142(constB55)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28831, 22360, 28828])).
% 20.71/14.30 tff(28833,plain,
% 20.71/14.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB53, bitIndex1)) | (~v145(constB53)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB53, bitIndex1)) | (~v145(constB53)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28834,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB53, bitIndex1)) | (~v145(constB53)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28835,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB53, bitIndex1)) | (~v145(constB53))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28834, 28833])).
% 20.71/14.30 tff(28836,plain,
% 20.71/14.30 (~v145(constB53)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28835, 2012, 6197])).
% 20.71/14.30 tff(28837,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB53) | (~v144(constB53)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB53) | (~v144(constB53)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28838,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB53) | (~v144(constB53)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28839,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB53) | (~v144(constB53))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28838, 28837])).
% 20.71/14.30 tff(28840,plain,
% 20.71/14.30 (~v144(constB53)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28839, 22349, 28836])).
% 20.71/14.30 tff(28841,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB53) | (~v142(constB53)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28842,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB53) | (~v142(constB53)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28843,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB53) | (~v142(constB53))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28842, 28841])).
% 20.71/14.30 tff(28844,plain,
% 20.71/14.30 (~v142(constB53)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28843, 22360, 28840])).
% 20.71/14.30 tff(28845,plain,
% 20.71/14.30 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB53)) | (~v138(constB53)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB53)) | (~v138(constB53)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28846,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB53)) | (~v138(constB53)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28847,plain,
% 20.71/14.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB53)) | (~v138(constB53))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28846, 28845])).
% 20.71/14.30 tff(28848,plain,
% 20.71/14.30 (~v138(constB53)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28847, 22419, 23415])).
% 20.71/14.30 tff(28849,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB53) | v142(constB53) | (~v135(constB53)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB53) | v142(constB53) | (~v135(constB53)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28850,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB53) | v142(constB53) | (~v135(constB53)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28851,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB53) | v142(constB53) | (~v135(constB53))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28850, 28849])).
% 20.71/14.30 tff(28852,plain,
% 20.71/14.30 (v142(constB53) | (~v135(constB53))),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28851, 22436, 28848])).
% 20.71/14.30 tff(28853,plain,
% 20.71/14.30 (~v135(constB53)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28852, 28844])).
% 20.71/14.30 tff(28854,plain,
% 20.71/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28855,plain,
% 20.71/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28856,plain,
% 20.71/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28855, 28854])).
% 20.71/14.30 tff(28857,plain,
% 20.71/14.30 (v135(constB53) | (~v137(constB54))),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28856, 22451, 6274])).
% 20.71/14.30 tff(28858,plain,
% 20.71/14.30 (~v137(constB54)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28857, 28853])).
% 20.71/14.30 tff(28859,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB54) | (~v138(constB54)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB54) | (~v138(constB54)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28860,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB54) | (~v138(constB54)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28861,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB54) | (~v138(constB54))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28860, 28859])).
% 20.71/14.30 tff(28862,plain,
% 20.71/14.30 (~v138(constB54)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28861, 22463, 28858])).
% 20.71/14.30 tff(28863,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB54) | (~v144(constB54)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB54) | (~v144(constB54)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28864,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB54) | (~v144(constB54)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28865,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB54) | (~v144(constB54))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28864, 28863])).
% 20.71/14.30 tff(28866,plain,
% 20.71/14.30 (~v144(constB54)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28865, 22485, 23440])).
% 20.71/14.30 tff(28867,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB54) | (~v142(constB54)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB54) | (~v142(constB54)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28868,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB54) | (~v142(constB54)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28869,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB54) | (~v142(constB54))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28868, 28867])).
% 20.71/14.30 tff(28870,plain,
% 20.71/14.30 (~v142(constB54)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28869, 22360, 28866])).
% 20.71/14.30 tff(28871,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB54) | v142(constB54) | (~v135(constB54)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB54) | v142(constB54) | (~v135(constB54)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28872,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB54) | v142(constB54) | (~v135(constB54)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28873,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB54) | v142(constB54) | (~v135(constB54))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28872, 28871])).
% 20.71/14.30 tff(28874,plain,
% 20.71/14.30 (v138(constB54) | (~v135(constB54))),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28873, 22436, 28870])).
% 20.71/14.30 tff(28875,plain,
% 20.71/14.30 (~v135(constB54)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28874, 28862])).
% 20.71/14.30 tff(28876,plain,
% 20.71/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28877,plain,
% 20.71/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28878,plain,
% 20.71/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28877, 28876])).
% 20.71/14.30 tff(28879,plain,
% 20.71/14.30 (v135(constB54) | (~v137(constB55))),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28878, 22451, 6339])).
% 20.71/14.30 tff(28880,plain,
% 20.71/14.30 (~v137(constB55)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28879, 28875])).
% 20.71/14.30 tff(28881,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB55) | (~v138(constB55)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB55) | (~v138(constB55)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28882,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB55) | (~v138(constB55)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28883,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB55) | (~v138(constB55))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28882, 28881])).
% 20.71/14.30 tff(28884,plain,
% 20.71/14.30 (~v138(constB55)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28883, 22463, 28880])).
% 20.71/14.30 tff(28885,plain,
% 20.71/14.30 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB55) | v142(constB55) | (~v135(constB55)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB55) | v142(constB55) | (~v135(constB55)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.71/14.30 tff(28886,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB55) | v142(constB55) | (~v135(constB55)))),
% 20.71/14.30 inference(quant_inst,[status(thm)],[])).
% 20.71/14.30 tff(28887,plain,
% 20.71/14.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB55) | v142(constB55) | (~v135(constB55))),
% 20.71/14.30 inference(modus_ponens,[status(thm)],[28886, 28885])).
% 20.71/14.30 tff(28888,plain,
% 20.71/14.30 (v142(constB55) | (~v135(constB55))),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28887, 22436, 28884])).
% 20.71/14.30 tff(28889,plain,
% 20.71/14.30 (~v135(constB55)),
% 20.71/14.30 inference(unit_resolution,[status(thm)],[28888, 28832])).
% 20.71/14.30 tff(28890,plain,
% 20.71/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))),
% 20.71/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28891,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28892,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28891, 28890])).
% 20.73/14.30 tff(28893,plain,
% 20.73/14.30 (v135(constB55) | (~v137(constB56))),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28892, 22451, 6461])).
% 20.73/14.30 tff(28894,plain,
% 20.73/14.30 (~v137(constB56)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28893, 28889])).
% 20.73/14.30 tff(28895,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB56) | (~v138(constB56)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB56) | (~v138(constB56)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28896,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB56) | (~v138(constB56)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28897,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB56) | (~v138(constB56))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28896, 28895])).
% 20.73/14.30 tff(28898,plain,
% 20.73/14.30 (~v138(constB56)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28897, 22463, 28894])).
% 20.73/14.30 tff(28899,plain,
% 20.73/14.30 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB56)) | (~v141(constB56)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB56)) | (~v141(constB56)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28900,plain,
% 20.73/14.30 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB56)) | (~v141(constB56)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28901,plain,
% 20.73/14.30 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB56)) | (~v141(constB56))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28900, 28899])).
% 20.73/14.30 tff(28902,plain,
% 20.73/14.30 (~v141(constB56)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28901, 22474, 6481])).
% 20.73/14.30 tff(28903,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB56) | (~v144(constB56)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB56) | (~v144(constB56)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28904,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB56) | (~v144(constB56)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28905,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB56) | (~v144(constB56))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 20.73/14.30 tff(28906,plain,
% 20.73/14.30 (~v144(constB56)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28905, 22485, 28902])).
% 20.73/14.30 tff(28907,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB56) | (~v142(constB56)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB56) | (~v142(constB56)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28908,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB56) | (~v142(constB56)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28909,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB56) | (~v142(constB56))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28908, 28907])).
% 20.73/14.30 tff(28910,plain,
% 20.73/14.30 (~v142(constB56)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28909, 22360, 28906])).
% 20.73/14.30 tff(28911,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB56) | v142(constB56) | (~v135(constB56)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB56) | v142(constB56) | (~v135(constB56)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28912,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB56) | v142(constB56) | (~v135(constB56)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28913,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB56) | v142(constB56) | (~v135(constB56))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28912, 28911])).
% 20.73/14.30 tff(28914,plain,
% 20.73/14.30 (v138(constB56) | (~v135(constB56))),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28913, 22436, 28910])).
% 20.73/14.30 tff(28915,plain,
% 20.73/14.30 (~v135(constB56)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28914, 28898])).
% 20.73/14.30 tff(28916,plain,
% 20.73/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28917,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28918,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28917, 28916])).
% 20.73/14.30 tff(28919,plain,
% 20.73/14.30 (v135(constB56) | (~v137(constB57))),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28918, 22451, 6523])).
% 20.73/14.30 tff(28920,plain,
% 20.73/14.30 (~v137(constB57)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28919, 28915])).
% 20.73/14.30 tff(28921,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB57) | (~v153(constB57)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB57) | (~v153(constB57)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28922,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB57) | (~v153(constB57)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28923,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB57) | (~v153(constB57))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28922, 28921])).
% 20.73/14.30 tff(28924,plain,
% 20.73/14.30 (~v153(constB57)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28923, 22510, 28920])).
% 20.73/14.30 tff(28925,plain,
% 20.73/14.30 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB57)) | (~v155(constB57)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB57)) | (~v155(constB57)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28926,plain,
% 20.73/14.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB57)) | (~v155(constB57)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28927,plain,
% 20.73/14.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB57)) | (~v155(constB57))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28926, 28925])).
% 20.73/14.30 tff(28928,plain,
% 20.73/14.30 (~v155(constB57)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28927, 22552, 25964])).
% 20.73/14.30 tff(28929,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB57) | v155(constB57) | (~v150(constB57)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB57) | v155(constB57) | (~v150(constB57)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28930,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB57) | v155(constB57) | (~v150(constB57)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28931,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB57) | v155(constB57) | (~v150(constB57))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28930, 28929])).
% 20.73/14.30 tff(28932,plain,
% 20.73/14.30 (v153(constB57) | (~v150(constB57))),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28931, 22566, 28928])).
% 20.73/14.30 tff(28933,plain,
% 20.73/14.30 (~v150(constB57)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28932, 28924])).
% 20.73/14.30 tff(28934,plain,
% 20.73/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28935,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28936,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28935, 28934])).
% 20.73/14.30 tff(28937,plain,
% 20.73/14.30 (v150(constB57) | (~v152(constB58))),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28936, 22581, 6647])).
% 20.73/14.30 tff(28938,plain,
% 20.73/14.30 (~v152(constB58)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28937, 28933])).
% 20.73/14.30 tff(28939,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB58) | (~v155(constB58)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB58) | (~v155(constB58)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28940,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB58) | (~v155(constB58)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28941,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB58) | (~v155(constB58))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 20.73/14.30 tff(28942,plain,
% 20.73/14.30 (~v155(constB58)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28941, 22593, 28938])).
% 20.73/14.30 tff(28943,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB58) | (~v154(constB58)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB58) | (~v154(constB58)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28944,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB58) | (~v154(constB58)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28945,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB58) | (~v154(constB58))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 20.73/14.30 tff(28946,plain,
% 20.73/14.30 (~v154(constB58)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28945, 22608, 25989])).
% 20.73/14.30 tff(28947,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB58) | (~v153(constB58)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB58) | (~v153(constB58)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28948,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB58) | (~v153(constB58)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28949,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB58) | (~v153(constB58))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 20.73/14.30 tff(28950,plain,
% 20.73/14.30 (~v153(constB58)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28949, 22619, 28946])).
% 20.73/14.30 tff(28951,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB58) | v155(constB58) | (~v150(constB58)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB58) | v155(constB58) | (~v150(constB58)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28952,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB58) | v155(constB58) | (~v150(constB58)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28953,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB58) | v155(constB58) | (~v150(constB58))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 20.73/14.30 tff(28954,plain,
% 20.73/14.30 (v155(constB58) | (~v150(constB58))),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28953, 22566, 28950])).
% 20.73/14.30 tff(28955,plain,
% 20.73/14.30 (~v150(constB58)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28954, 28942])).
% 20.73/14.30 tff(28956,plain,
% 20.73/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28957,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28958,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28957, 28956])).
% 20.73/14.30 tff(28959,plain,
% 20.73/14.30 (v150(constB58) | (~v152(constB59))),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28958, 22581, 6709])).
% 20.73/14.30 tff(28960,plain,
% 20.73/14.30 (~v152(constB59)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28959, 28955])).
% 20.73/14.30 tff(28961,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB59) | (~v164(constB59)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB59) | (~v164(constB59)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28962,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB59) | (~v164(constB59)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28963,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB59) | (~v164(constB59))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28962, 28961])).
% 20.73/14.30 tff(28964,plain,
% 20.73/14.30 (~v164(constB59)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28963, 22640, 28960])).
% 20.73/14.30 tff(28965,plain,
% 20.73/14.30 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB59)) | (~v163(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB59)) | (~v163(constB59)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28966,plain,
% 20.73/14.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB59)) | (~v163(constB59)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28967,plain,
% 20.73/14.30 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB59)) | (~v163(constB59))),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28966, 28965])).
% 20.73/14.30 tff(28968,plain,
% 20.73/14.30 (~v163(constB59)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28967, 22781, 26042])).
% 20.73/14.30 tff(28969,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB59)) | v163(constB59) | v164(constB59))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB59)) | v163(constB59) | v164(constB59))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28970,plain,
% 20.73/14.30 ((v164(constB59) | v163(constB59) | (~v160(constB59))) <=> ((~v160(constB59)) | v163(constB59) | v164(constB59))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28971,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB59) | v163(constB59) | (~v160(constB59)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB59)) | v163(constB59) | v164(constB59)))),
% 20.73/14.30 inference(monotonicity,[status(thm)],[28970])).
% 20.73/14.30 tff(28972,plain,
% 20.73/14.30 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB59) | v163(constB59) | (~v160(constB59)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB59)) | v163(constB59) | v164(constB59))),
% 20.73/14.30 inference(transitivity,[status(thm)],[28971, 28969])).
% 20.73/14.30 tff(28973,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB59) | v163(constB59) | (~v160(constB59)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28974,plain,
% 20.73/14.30 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB59)) | v163(constB59) | v164(constB59)),
% 20.73/14.30 inference(modus_ponens,[status(thm)],[28973, 28972])).
% 20.73/14.30 tff(28975,plain,
% 20.73/14.30 ((~v160(constB59)) | v164(constB59)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28974, 22795, 28968])).
% 20.73/14.30 tff(28976,plain,
% 20.73/14.30 (~v160(constB59)),
% 20.73/14.30 inference(unit_resolution,[status(thm)],[28975, 28964])).
% 20.73/14.30 tff(28977,plain,
% 20.73/14.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))),
% 20.73/14.30 inference(rewrite,[status(thm)],[])).
% 20.73/14.30 tff(28978,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))),
% 20.73/14.30 inference(quant_inst,[status(thm)],[])).
% 20.73/14.30 tff(28979,plain,
% 20.73/14.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 20.73/14.31 tff(28980,plain,
% 20.73/14.31 (v160(constB59) | (~v162(constB60))),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[28979, 22813, 6826])).
% 20.73/14.31 tff(28981,plain,
% 20.73/14.31 (~v162(constB60)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[28980, 28976])).
% 20.73/14.31 tff(28982,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB60) | (~v163(constB60)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB60) | (~v163(constB60)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(28983,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB60) | (~v163(constB60)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(28984,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB60) | (~v163(constB60))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[28983, 28982])).
% 20.73/14.31 tff(28985,plain,
% 20.73/14.31 (~v163(constB60)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[28984, 22825, 28981])).
% 20.73/14.31 tff(28986,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB60) | (~v164(constB60)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB60) | (~v164(constB60)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(28987,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB60) | (~v164(constB60)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(28988,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB60) | (~v164(constB60))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 20.73/14.31 tff(28989,plain,
% 20.73/14.31 (~v164(constB60)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[28988, 22836, 26068])).
% 20.73/14.31 tff(28990,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB60)) | v164(constB60) | v163(constB60))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB60)) | v164(constB60) | v163(constB60))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(28991,plain,
% 20.73/14.31 ((v164(constB60) | v163(constB60) | (~v160(constB60))) <=> ((~v160(constB60)) | v164(constB60) | v163(constB60))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(28992,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB60) | v163(constB60) | (~v160(constB60)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB60)) | v164(constB60) | v163(constB60)))),
% 20.73/14.31 inference(monotonicity,[status(thm)],[28991])).
% 20.73/14.31 tff(28993,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB60) | v163(constB60) | (~v160(constB60)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB60)) | v164(constB60) | v163(constB60))),
% 20.73/14.31 inference(transitivity,[status(thm)],[28992, 28990])).
% 20.73/14.31 tff(28994,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB60) | v163(constB60) | (~v160(constB60)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(28995,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB60)) | v164(constB60) | v163(constB60)),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[28994, 28993])).
% 20.73/14.31 tff(28996,plain,
% 20.73/14.31 ((~v160(constB60)) | v163(constB60)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[28995, 22795, 28989])).
% 20.73/14.31 tff(28997,plain,
% 20.73/14.31 (~v160(constB60)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[28996, 28985])).
% 20.73/14.31 tff(28998,plain,
% 20.73/14.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(28999,plain,
% 20.73/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29000,plain,
% 20.73/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[28999, 28998])).
% 20.73/14.31 tff(29001,plain,
% 20.73/14.31 (v160(constB60) | (~v162(constB61))),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29000, 22813, 6888])).
% 20.73/14.31 tff(29002,plain,
% 20.73/14.31 (~v162(constB61)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29001, 28997])).
% 20.73/14.31 tff(29003,plain,
% 20.73/14.31 ($false),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29002, 28820])).
% 20.73/14.31 tff(29004,plain,(~(constB61 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.73/14.31 tff(29005,assumption,(constB193 = sK0_VarCurr), introduced(assumption)).
% 20.73/14.31 tff(29006,plain,
% 20.73/14.31 (v162(constB193) <=> v162(sK0_VarCurr)),
% 20.73/14.31 inference(monotonicity,[status(thm)],[29005])).
% 20.73/14.31 tff(29007,plain,
% 20.73/14.31 (v162(sK0_VarCurr) <=> v162(constB193)),
% 20.73/14.31 inference(symmetry,[status(thm)],[29006])).
% 20.73/14.31 tff(29008,plain,
% 20.73/14.31 (v162(constB193)),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[22337, 29007])).
% 20.73/14.31 tff(29009,plain,
% 20.73/14.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB187, bitIndex1)) | (~v145(constB187)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB187, bitIndex1)) | (~v145(constB187)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29010,plain,
% 20.73/14.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB187, bitIndex1)) | (~v145(constB187)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29011,plain,
% 20.73/14.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB187, bitIndex1)) | (~v145(constB187))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29010, 29009])).
% 20.73/14.31 tff(29012,plain,
% 20.73/14.31 (~v145(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29011, 2012, 22040])).
% 20.73/14.31 tff(29013,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB187) | (~v144(constB187)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB187) | (~v144(constB187)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29014,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB187) | (~v144(constB187)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29015,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB187) | (~v144(constB187))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29014, 29013])).
% 20.73/14.31 tff(29016,plain,
% 20.73/14.31 (~v144(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29015, 22349, 29012])).
% 20.73/14.31 tff(29017,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB187) | (~v142(constB187)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB187) | (~v142(constB187)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29018,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB187) | (~v142(constB187)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29019,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB187) | (~v142(constB187))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29018, 29017])).
% 20.73/14.31 tff(29020,plain,
% 20.73/14.31 (~v142(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29019, 22360, 29016])).
% 20.73/14.31 tff(29021,assumption,(v18(constB188)), introduced(assumption)).
% 20.73/14.31 tff(29022,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB188))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29023,plain,
% 20.73/14.31 ($false),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29022, 2627, 29021])).
% 20.73/14.31 tff(29024,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 20.73/14.31 tff(29025,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29026,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29027,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29026, 29025])).
% 20.73/14.31 tff(29028,plain,
% 20.73/14.31 (v22(constB188)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29027, 2640, 22110])).
% 20.73/14.31 tff(29029,plain,
% 20.73/14.31 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB188)) | (~v22(constB188)) | v18(constB188))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB188)) | (~v22(constB188)) | v18(constB188))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29030,plain,
% 20.73/14.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB188)) | (~v22(constB188)) | v18(constB188))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29031,plain,
% 20.73/14.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB188)) | (~v22(constB188)) | v18(constB188)),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29030, 29029])).
% 20.73/14.31 tff(29032,plain,
% 20.73/14.31 ((~v19(constB188)) | v18(constB188)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29031, 2654, 29028])).
% 20.73/14.31 tff(29033,plain,
% 20.73/14.31 (~v19(constB188)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29032, 29024])).
% 20.73/14.31 tff(29034,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29035,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29036,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29035, 29034])).
% 20.73/14.31 tff(29037,plain,
% 20.73/14.31 (v13(constB188)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29036, 2669, 29033])).
% 20.73/14.31 tff(29038,plain,
% 20.73/14.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29039,plain,
% 20.73/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29040,plain,
% 20.73/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187)),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29039, 29038])).
% 20.73/14.31 tff(29041,plain,
% 20.73/14.31 ((~v13(constB188)) | v9(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29040, 2686, 22091])).
% 20.73/14.31 tff(29042,plain,
% 20.73/14.31 (v9(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29041, 29037])).
% 20.73/14.31 tff(29043,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29044,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29045,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187)),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29044, 29043])).
% 20.73/14.31 tff(29046,plain,
% 20.73/14.31 ((~v9(constB187)) | v141(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29045, 22396, 21985])).
% 20.73/14.31 tff(29047,plain,
% 20.73/14.31 (v141(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29046, 29042])).
% 20.73/14.31 tff(29048,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB187) | (~v141(constB187)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29049,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB187) | (~v141(constB187)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29050,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB187) | (~v141(constB187))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29049, 29048])).
% 20.73/14.31 tff(29051,plain,
% 20.73/14.31 (v140(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29050, 22408, 29047])).
% 20.73/14.31 tff(29052,plain,
% 20.73/14.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB187)) | (~v140(constB187)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB187)) | (~v140(constB187)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29053,plain,
% 20.73/14.31 (((~v140(constB187)) | (~v138(constB187))) <=> ((~v138(constB187)) | (~v140(constB187)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29054,plain,
% 20.73/14.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB187)) | (~v138(constB187)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB187)) | (~v140(constB187))))),
% 20.73/14.31 inference(monotonicity,[status(thm)],[29053])).
% 20.73/14.31 tff(29055,plain,
% 20.73/14.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB187)) | (~v138(constB187)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB187)) | (~v140(constB187)))),
% 20.73/14.31 inference(transitivity,[status(thm)],[29054, 29052])).
% 20.73/14.31 tff(29056,plain,
% 20.73/14.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB187)) | (~v138(constB187)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29057,plain,
% 20.73/14.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB187)) | (~v140(constB187))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29056, 29055])).
% 20.73/14.31 tff(29058,plain,
% 20.73/14.31 (~v138(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29057, 22419, 29051])).
% 20.73/14.31 tff(29059,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB187) | v142(constB187) | (~v135(constB187)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB187) | v142(constB187) | (~v135(constB187)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29060,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB187) | v142(constB187) | (~v135(constB187)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29061,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB187) | v142(constB187) | (~v135(constB187))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 20.73/14.31 tff(29062,plain,
% 20.73/14.31 (v142(constB187) | (~v135(constB187))),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29061, 22436, 29058])).
% 20.73/14.31 tff(29063,plain,
% 20.73/14.31 (~v135(constB187)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29062, 29020])).
% 20.73/14.31 tff(29064,plain,
% 20.73/14.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB187, constB188)) | v135(constB187) | (~v137(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB187, constB188)) | v135(constB187) | (~v137(constB188)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29065,plain,
% 20.73/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB187, constB188)) | v135(constB187) | (~v137(constB188)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29066,plain,
% 20.73/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB187, constB188)) | v135(constB187) | (~v137(constB188))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29065, 29064])).
% 20.73/14.31 tff(29067,plain,
% 20.73/14.31 (v135(constB187) | (~v137(constB188))),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29066, 22451, 22091])).
% 20.73/14.31 tff(29068,plain,
% 20.73/14.31 (~v137(constB188)),
% 20.73/14.31 inference(unit_resolution,[status(thm)],[29067, 29063])).
% 20.73/14.31 tff(29069,plain,
% 20.73/14.31 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB188) | (~v138(constB188)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB188) | (~v138(constB188)))),
% 20.73/14.31 inference(rewrite,[status(thm)],[])).
% 20.73/14.31 tff(29070,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB188) | (~v138(constB188)))),
% 20.73/14.31 inference(quant_inst,[status(thm)],[])).
% 20.73/14.31 tff(29071,plain,
% 20.73/14.31 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB188) | (~v138(constB188))),
% 20.73/14.31 inference(modus_ponens,[status(thm)],[29070, 29069])).
% 20.73/14.31 tff(29072,plain,
% 20.73/14.31 (~v138(constB188)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29071, 22463, 29068])).
% 20.74/14.31 tff(29073,plain,
% 20.74/14.31 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29074,plain,
% 20.74/14.31 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29075,plain,
% 20.74/14.31 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29074, 29073])).
% 20.74/14.31 tff(29076,plain,
% 20.74/14.31 (~v141(constB188)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29075, 22474, 22110])).
% 20.74/14.31 tff(29077,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB188) | (~v144(constB188)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB188) | (~v144(constB188)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29078,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB188) | (~v144(constB188)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29079,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB188) | (~v144(constB188))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29078, 29077])).
% 20.74/14.31 tff(29080,plain,
% 20.74/14.31 (~v144(constB188)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29079, 22485, 29076])).
% 20.74/14.31 tff(29081,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB188) | (~v142(constB188)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB188) | (~v142(constB188)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29082,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB188) | (~v142(constB188)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29083,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB188) | (~v142(constB188))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 20.74/14.31 tff(29084,plain,
% 20.74/14.31 (~v142(constB188)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29083, 22360, 29080])).
% 20.74/14.31 tff(29085,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB188) | v142(constB188) | (~v135(constB188)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB188) | v142(constB188) | (~v135(constB188)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29086,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB188) | v142(constB188) | (~v135(constB188)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29087,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB188) | v142(constB188) | (~v135(constB188))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29086, 29085])).
% 20.74/14.31 tff(29088,plain,
% 20.74/14.31 (v138(constB188) | (~v135(constB188))),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29087, 22436, 29084])).
% 20.74/14.31 tff(29089,plain,
% 20.74/14.31 (~v135(constB188)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29088, 29072])).
% 20.74/14.31 tff(29090,plain,
% 20.74/14.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB188, constB189)) | v135(constB188) | (~v137(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB188, constB189)) | v135(constB188) | (~v137(constB189)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29091,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB188, constB189)) | v135(constB188) | (~v137(constB189)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29092,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB188, constB189)) | v135(constB188) | (~v137(constB189))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29091, 29090])).
% 20.74/14.31 tff(29093,plain,
% 20.74/14.31 (v135(constB188) | (~v137(constB189))),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29092, 22451, 22240])).
% 20.74/14.31 tff(29094,plain,
% 20.74/14.31 (~v137(constB189)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29093, 29089])).
% 20.74/14.31 tff(29095,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB189) | (~v153(constB189)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB189) | (~v153(constB189)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29096,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB189) | (~v153(constB189)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29097,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB189) | (~v153(constB189))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29096, 29095])).
% 20.74/14.31 tff(29098,plain,
% 20.74/14.31 (~v153(constB189)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29097, 22510, 29094])).
% 20.74/14.31 tff(29099,plain,
% 20.74/14.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB189)) | (~v155(constB189)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB189)) | (~v155(constB189)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29100,plain,
% 20.74/14.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB189)) | (~v155(constB189)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29101,plain,
% 20.74/14.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB189)) | (~v155(constB189))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29100, 29099])).
% 20.74/14.31 tff(29102,plain,
% 20.74/14.31 (~v155(constB189)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29101, 22552, 23988])).
% 20.74/14.31 tff(29103,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB189) | v155(constB189) | (~v150(constB189)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB189) | v155(constB189) | (~v150(constB189)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29104,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB189) | v155(constB189) | (~v150(constB189)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29105,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB189) | v155(constB189) | (~v150(constB189))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29104, 29103])).
% 20.74/14.31 tff(29106,plain,
% 20.74/14.31 (v153(constB189) | (~v150(constB189))),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29105, 22566, 29102])).
% 20.74/14.31 tff(29107,plain,
% 20.74/14.31 (~v150(constB189)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29106, 29098])).
% 20.74/14.31 tff(29108,plain,
% 20.74/14.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB189, constB190)) | v150(constB189) | (~v152(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB189, constB190)) | v150(constB189) | (~v152(constB190)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29109,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB189, constB190)) | v150(constB189) | (~v152(constB190)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29110,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB189, constB190)) | v150(constB189) | (~v152(constB190))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29109, 29108])).
% 20.74/14.31 tff(29111,plain,
% 20.74/14.31 (v150(constB189) | (~v152(constB190))),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29110, 22581, 23974])).
% 20.74/14.31 tff(29112,plain,
% 20.74/14.31 (~v152(constB190)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29111, 29107])).
% 20.74/14.31 tff(29113,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB190) | (~v155(constB190)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB190) | (~v155(constB190)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29114,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB190) | (~v155(constB190)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29115,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB190) | (~v155(constB190))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29114, 29113])).
% 20.74/14.31 tff(29116,plain,
% 20.74/14.31 (~v155(constB190)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29115, 22593, 29112])).
% 20.74/14.31 tff(29117,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB190) | (~v154(constB190)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB190) | (~v154(constB190)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29118,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB190) | (~v154(constB190)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29119,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB190) | (~v154(constB190))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29118, 29117])).
% 20.74/14.31 tff(29120,plain,
% 20.74/14.31 (~v154(constB190)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29119, 22608, 24013])).
% 20.74/14.31 tff(29121,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB190) | (~v153(constB190)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB190) | (~v153(constB190)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29122,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB190) | (~v153(constB190)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29123,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB190) | (~v153(constB190))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29122, 29121])).
% 20.74/14.31 tff(29124,plain,
% 20.74/14.31 (~v153(constB190)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29123, 22619, 29120])).
% 20.74/14.31 tff(29125,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB190) | v155(constB190) | (~v150(constB190)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB190) | v155(constB190) | (~v150(constB190)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29126,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB190) | v155(constB190) | (~v150(constB190)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29127,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB190) | v155(constB190) | (~v150(constB190))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29126, 29125])).
% 20.74/14.31 tff(29128,plain,
% 20.74/14.31 (v155(constB190) | (~v150(constB190))),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29127, 22566, 29124])).
% 20.74/14.31 tff(29129,plain,
% 20.74/14.31 (~v150(constB190)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29128, 29116])).
% 20.74/14.31 tff(29130,plain,
% 20.74/14.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB190, constB191)) | v150(constB190) | (~v152(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB190, constB191)) | v150(constB190) | (~v152(constB191)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29131,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB190, constB191)) | v150(constB190) | (~v152(constB191)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29132,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB190, constB191)) | v150(constB190) | (~v152(constB191))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 20.74/14.31 tff(29133,plain,
% 20.74/14.31 (v150(constB190) | (~v152(constB191))),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29132, 22581, 24029])).
% 20.74/14.31 tff(29134,plain,
% 20.74/14.31 (~v152(constB191)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29133, 29129])).
% 20.74/14.31 tff(29135,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB191) | (~v164(constB191)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB191) | (~v164(constB191)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29136,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB191) | (~v164(constB191)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29137,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB191) | (~v164(constB191))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29136, 29135])).
% 20.74/14.31 tff(29138,plain,
% 20.74/14.31 (~v164(constB191)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29137, 22640, 29134])).
% 20.74/14.31 tff(29139,plain,
% 20.74/14.31 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB191)) | (~v163(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB191)) | (~v163(constB191)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29140,plain,
% 20.74/14.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB191)) | (~v163(constB191)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29141,plain,
% 20.74/14.31 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB191)) | (~v163(constB191))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29140, 29139])).
% 20.74/14.31 tff(29142,plain,
% 20.74/14.31 (~v163(constB191)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29141, 22781, 24078])).
% 20.74/14.31 tff(29143,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB191)) | v164(constB191) | v163(constB191))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB191)) | v164(constB191) | v163(constB191))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29144,plain,
% 20.74/14.31 ((v164(constB191) | v163(constB191) | (~v160(constB191))) <=> ((~v160(constB191)) | v164(constB191) | v163(constB191))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29145,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB191) | v163(constB191) | (~v160(constB191)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB191)) | v164(constB191) | v163(constB191)))),
% 20.74/14.31 inference(monotonicity,[status(thm)],[29144])).
% 20.74/14.31 tff(29146,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB191) | v163(constB191) | (~v160(constB191)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB191)) | v164(constB191) | v163(constB191))),
% 20.74/14.31 inference(transitivity,[status(thm)],[29145, 29143])).
% 20.74/14.31 tff(29147,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB191) | v163(constB191) | (~v160(constB191)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29148,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB191)) | v164(constB191) | v163(constB191)),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29147, 29146])).
% 20.74/14.31 tff(29149,plain,
% 20.74/14.31 ((~v160(constB191)) | v164(constB191)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29148, 22795, 29142])).
% 20.74/14.31 tff(29150,plain,
% 20.74/14.31 (~v160(constB191)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29149, 29138])).
% 20.74/14.31 tff(29151,plain,
% 20.74/14.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB191, constB192)) | v160(constB191) | (~v162(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB191, constB192)) | v160(constB191) | (~v162(constB192)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29152,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB191, constB192)) | v160(constB191) | (~v162(constB192)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29153,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB191, constB192)) | v160(constB191) | (~v162(constB192))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29152, 29151])).
% 20.74/14.31 tff(29154,plain,
% 20.74/14.31 (v160(constB191) | (~v162(constB192))),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29153, 22813, 24061])).
% 20.74/14.31 tff(29155,plain,
% 20.74/14.31 (~v162(constB192)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29154, 29150])).
% 20.74/14.31 tff(29156,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB192) | (~v163(constB192)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB192) | (~v163(constB192)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29157,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB192) | (~v163(constB192)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29158,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB192) | (~v163(constB192))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29157, 29156])).
% 20.74/14.31 tff(29159,plain,
% 20.74/14.31 (~v163(constB192)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29158, 22825, 29155])).
% 20.74/14.31 tff(29160,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB192) | (~v164(constB192)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB192) | (~v164(constB192)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29161,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB192) | (~v164(constB192)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29162,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB192) | (~v164(constB192))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29161, 29160])).
% 20.74/14.31 tff(29163,plain,
% 20.74/14.31 (~v164(constB192)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29162, 22836, 24104])).
% 20.74/14.31 tff(29164,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB192)) | v164(constB192) | v163(constB192))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB192)) | v164(constB192) | v163(constB192))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29165,plain,
% 20.74/14.31 ((v164(constB192) | v163(constB192) | (~v160(constB192))) <=> ((~v160(constB192)) | v164(constB192) | v163(constB192))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29166,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB192) | v163(constB192) | (~v160(constB192)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB192)) | v164(constB192) | v163(constB192)))),
% 20.74/14.31 inference(monotonicity,[status(thm)],[29165])).
% 20.74/14.31 tff(29167,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB192) | v163(constB192) | (~v160(constB192)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB192)) | v164(constB192) | v163(constB192))),
% 20.74/14.31 inference(transitivity,[status(thm)],[29166, 29164])).
% 20.74/14.31 tff(29168,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB192) | v163(constB192) | (~v160(constB192)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29169,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB192)) | v164(constB192) | v163(constB192)),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29168, 29167])).
% 20.74/14.31 tff(29170,plain,
% 20.74/14.31 ((~v160(constB192)) | v163(constB192)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29169, 22795, 29163])).
% 20.74/14.31 tff(29171,plain,
% 20.74/14.31 (~v160(constB192)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29170, 29159])).
% 20.74/14.31 tff(29172,plain,
% 20.74/14.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB192, constB193)) | v160(constB192) | (~v162(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB192, constB193)) | v160(constB192) | (~v162(constB193)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29173,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB192, constB193)) | v160(constB192) | (~v162(constB193)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29174,plain,
% 20.74/14.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB192, constB193)) | v160(constB192) | (~v162(constB193))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29173, 29172])).
% 20.74/14.31 tff(29175,plain,
% 20.74/14.31 (v160(constB192) | (~v162(constB193))),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29174, 22813, 24116])).
% 20.74/14.31 tff(29176,plain,
% 20.74/14.31 (~v162(constB193)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29175, 29171])).
% 20.74/14.31 tff(29177,plain,
% 20.74/14.31 ($false),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29176, 29008])).
% 20.74/14.31 tff(29178,plain,(~(constB193 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.31 tff(29179,assumption,(constB59 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.31 tff(29180,plain,
% 20.74/14.31 (v162(constB59) <=> v162(sK0_VarCurr)),
% 20.74/14.31 inference(monotonicity,[status(thm)],[29179])).
% 20.74/14.31 tff(29181,plain,
% 20.74/14.31 (v162(sK0_VarCurr) <=> v162(constB59)),
% 20.74/14.31 inference(symmetry,[status(thm)],[29180])).
% 20.74/14.31 tff(29182,plain,
% 20.74/14.31 (v162(constB59)),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[22337, 29181])).
% 20.74/14.31 tff(29183,assumption,(v18(constB56)), introduced(assumption)).
% 20.74/14.31 tff(29184,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB56))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29185,plain,
% 20.74/14.31 ($false),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29184, 2627, 29183])).
% 20.74/14.31 tff(29186,plain,(~v18(constB56)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.31 tff(29187,plain,
% 20.74/14.31 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56)))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29188,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29189,plain,
% 20.74/14.31 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56))),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29188, 29187])).
% 20.74/14.31 tff(29190,plain,
% 20.74/14.31 (v22(constB56)),
% 20.74/14.31 inference(unit_resolution,[status(thm)],[29189, 2640, 6481])).
% 20.74/14.31 tff(29191,plain,
% 20.74/14.31 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB56)) | (~v22(constB56)) | v18(constB56))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB56)) | (~v22(constB56)) | v18(constB56))),
% 20.74/14.31 inference(rewrite,[status(thm)],[])).
% 20.74/14.31 tff(29192,plain,
% 20.74/14.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB56)) | (~v22(constB56)) | v18(constB56))),
% 20.74/14.31 inference(quant_inst,[status(thm)],[])).
% 20.74/14.31 tff(29193,plain,
% 20.74/14.31 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB56)) | (~v22(constB56)) | v18(constB56)),
% 20.74/14.31 inference(modus_ponens,[status(thm)],[29192, 29191])).
% 20.74/14.32 tff(29194,plain,
% 20.74/14.32 ((~v19(constB56)) | v18(constB56)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29193, 2654, 29190])).
% 20.74/14.32 tff(29195,plain,
% 20.74/14.32 (~v19(constB56)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29194, 29186])).
% 20.74/14.32 tff(29196,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29197,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29198,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29197, 29196])).
% 20.74/14.32 tff(29199,plain,
% 20.74/14.32 (v13(constB56)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29198, 2669, 29195])).
% 20.74/14.32 tff(29200,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB55, constB56)) | (~v13(constB56)) | v9(constB55))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB55, constB56)) | (~v13(constB56)) | v9(constB55))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29201,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB55, constB56)) | (~v13(constB56)) | v9(constB55))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29202,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB55, constB56)) | (~v13(constB56)) | v9(constB55)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 20.74/14.32 tff(29203,plain,
% 20.74/14.32 ((~v13(constB56)) | v9(constB55)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29202, 2686, 6461])).
% 20.74/14.32 tff(29204,plain,
% 20.74/14.32 (v9(constB55)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29203, 29199])).
% 20.74/14.32 tff(29205,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v141(constB55))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB55) | (~v9(constB55)) | v141(constB55))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29206,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v141(constB55))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29207,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB55) | (~v9(constB55)) | v141(constB55)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29206, 29205])).
% 20.74/14.32 tff(29208,plain,
% 20.74/14.32 ((~v9(constB55)) | v141(constB55)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29207, 22396, 6336])).
% 20.74/14.32 tff(29209,plain,
% 20.74/14.32 (v141(constB55)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29208, 29204])).
% 20.74/14.32 tff(29210,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB55) | (~v141(constB55)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB55) | (~v141(constB55)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29211,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB55) | (~v141(constB55)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29212,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB55) | (~v141(constB55))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29211, 29210])).
% 20.74/14.32 tff(29213,plain,
% 20.74/14.32 (v140(constB55)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29212, 22408, 29209])).
% 20.74/14.32 tff(29214,plain,
% 20.74/14.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB55)) | (~v155(constB55)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB55)) | (~v155(constB55)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29215,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB55)) | (~v155(constB55)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29216,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB55)) | (~v155(constB55))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29215, 29214])).
% 20.74/14.32 tff(29217,plain,
% 20.74/14.32 (~v155(constB55)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29216, 22552, 29213])).
% 20.74/14.32 tff(29218,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB55) | (~v153(constB55)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB55) | (~v153(constB55)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29219,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB55) | (~v153(constB55)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29220,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB55) | (~v153(constB55))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29219, 29218])).
% 20.74/14.32 tff(29221,plain,
% 20.74/14.32 (~v153(constB55)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29220, 22510, 28880])).
% 20.74/14.32 tff(29222,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB55) | v155(constB55) | (~v150(constB55)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB55) | v155(constB55) | (~v150(constB55)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29223,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB55) | v155(constB55) | (~v150(constB55)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29224,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB55) | v155(constB55) | (~v150(constB55))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29223, 29222])).
% 20.74/14.32 tff(29225,plain,
% 20.74/14.32 (v155(constB55) | (~v150(constB55))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29224, 22566, 29221])).
% 20.74/14.32 tff(29226,plain,
% 20.74/14.32 (~v150(constB55)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29225, 29217])).
% 20.74/14.32 tff(29227,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29228,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29229,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29228, 29227])).
% 20.74/14.32 tff(29230,plain,
% 20.74/14.32 (v150(constB55) | (~v152(constB56))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29229, 22581, 6461])).
% 20.74/14.32 tff(29231,plain,
% 20.74/14.32 (~v152(constB56)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29230, 29226])).
% 20.74/14.32 tff(29232,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB56) | (~v155(constB56)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB56) | (~v155(constB56)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29233,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB56) | (~v155(constB56)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29234,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB56) | (~v155(constB56))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29233, 29232])).
% 20.74/14.32 tff(29235,plain,
% 20.74/14.32 (~v155(constB56)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29234, 22593, 29231])).
% 20.74/14.32 tff(29236,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB56) | (~v154(constB56)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB56) | (~v154(constB56)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29237,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB56) | (~v154(constB56)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29238,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB56) | (~v154(constB56))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29237, 29236])).
% 20.74/14.32 tff(29239,plain,
% 20.74/14.32 (~v154(constB56)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29238, 22608, 28902])).
% 20.74/14.32 tff(29240,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB56) | (~v153(constB56)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB56) | (~v153(constB56)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29241,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB56) | (~v153(constB56)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29242,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB56) | (~v153(constB56))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29241, 29240])).
% 20.74/14.32 tff(29243,plain,
% 20.74/14.32 (~v153(constB56)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29242, 22619, 29239])).
% 20.74/14.32 tff(29244,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB56) | v155(constB56) | (~v150(constB56)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB56) | v155(constB56) | (~v150(constB56)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29245,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB56) | v155(constB56) | (~v150(constB56)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29246,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB56) | v155(constB56) | (~v150(constB56))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 20.74/14.32 tff(29247,plain,
% 20.74/14.32 (v155(constB56) | (~v150(constB56))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29246, 22566, 29243])).
% 20.74/14.32 tff(29248,plain,
% 20.74/14.32 (~v150(constB56)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29247, 29235])).
% 20.74/14.32 tff(29249,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29250,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29251,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29250, 29249])).
% 20.74/14.32 tff(29252,plain,
% 20.74/14.32 (v150(constB56) | (~v152(constB57))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29251, 22581, 6523])).
% 20.74/14.32 tff(29253,plain,
% 20.74/14.32 (~v152(constB57)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29252, 29248])).
% 20.74/14.32 tff(29254,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB57) | (~v164(constB57)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB57) | (~v164(constB57)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29255,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB57) | (~v164(constB57)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29256,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB57) | (~v164(constB57))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29255, 29254])).
% 20.74/14.32 tff(29257,plain,
% 20.74/14.32 (~v164(constB57)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29256, 22640, 29253])).
% 20.74/14.32 tff(29258,plain,
% 20.74/14.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB57)) | (~v163(constB57)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB57)) | (~v163(constB57)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29259,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB57)) | (~v163(constB57)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29260,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB57)) | (~v163(constB57))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29259, 29258])).
% 20.74/14.32 tff(29261,plain,
% 20.74/14.32 (~v163(constB57)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29260, 22781, 25964])).
% 20.74/14.32 tff(29262,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB57)) | v163(constB57) | v164(constB57))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB57)) | v163(constB57) | v164(constB57))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29263,plain,
% 20.74/14.32 ((v164(constB57) | v163(constB57) | (~v160(constB57))) <=> ((~v160(constB57)) | v163(constB57) | v164(constB57))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29264,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB57) | v163(constB57) | (~v160(constB57)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB57)) | v163(constB57) | v164(constB57)))),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29263])).
% 20.74/14.32 tff(29265,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB57) | v163(constB57) | (~v160(constB57)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB57)) | v163(constB57) | v164(constB57))),
% 20.74/14.32 inference(transitivity,[status(thm)],[29264, 29262])).
% 20.74/14.32 tff(29266,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB57) | v163(constB57) | (~v160(constB57)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29267,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB57)) | v163(constB57) | v164(constB57)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29266, 29265])).
% 20.74/14.32 tff(29268,plain,
% 20.74/14.32 ((~v160(constB57)) | v164(constB57)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29267, 22795, 29261])).
% 20.74/14.32 tff(29269,plain,
% 20.74/14.32 (~v160(constB57)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29268, 29257])).
% 20.74/14.32 tff(29270,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29271,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29272,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29271, 29270])).
% 20.74/14.32 tff(29273,plain,
% 20.74/14.32 (v160(constB57) | (~v162(constB58))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29272, 22813, 6647])).
% 20.74/14.32 tff(29274,plain,
% 20.74/14.32 (~v162(constB58)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29273, 29269])).
% 20.74/14.32 tff(29275,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB58) | (~v163(constB58)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB58) | (~v163(constB58)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29276,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB58) | (~v163(constB58)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29277,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB58) | (~v163(constB58))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29276, 29275])).
% 20.74/14.32 tff(29278,plain,
% 20.74/14.32 (~v163(constB58)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29277, 22825, 29274])).
% 20.74/14.32 tff(29279,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB58) | (~v164(constB58)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB58) | (~v164(constB58)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29280,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB58) | (~v164(constB58)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29281,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB58) | (~v164(constB58))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29280, 29279])).
% 20.74/14.32 tff(29282,plain,
% 20.74/14.32 (~v164(constB58)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29281, 22836, 28946])).
% 20.74/14.32 tff(29283,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB58)) | v164(constB58) | v163(constB58))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB58)) | v164(constB58) | v163(constB58))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29284,plain,
% 20.74/14.32 ((v164(constB58) | v163(constB58) | (~v160(constB58))) <=> ((~v160(constB58)) | v164(constB58) | v163(constB58))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29285,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB58) | v163(constB58) | (~v160(constB58)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB58)) | v164(constB58) | v163(constB58)))),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29284])).
% 20.74/14.32 tff(29286,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB58) | v163(constB58) | (~v160(constB58)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB58)) | v164(constB58) | v163(constB58))),
% 20.74/14.32 inference(transitivity,[status(thm)],[29285, 29283])).
% 20.74/14.32 tff(29287,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB58) | v163(constB58) | (~v160(constB58)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29288,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB58)) | v164(constB58) | v163(constB58)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29287, 29286])).
% 20.74/14.32 tff(29289,plain,
% 20.74/14.32 ((~v160(constB58)) | v163(constB58)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29288, 22795, 29282])).
% 20.74/14.32 tff(29290,plain,
% 20.74/14.32 (~v160(constB58)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29289, 29278])).
% 20.74/14.32 tff(29291,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29292,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29293,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29292, 29291])).
% 20.74/14.32 tff(29294,plain,
% 20.74/14.32 (v160(constB58) | (~v162(constB59))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29293, 22813, 6709])).
% 20.74/14.32 tff(29295,plain,
% 20.74/14.32 (~v162(constB59)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29294, 29290])).
% 20.74/14.32 tff(29296,plain,
% 20.74/14.32 ($false),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29295, 29182])).
% 20.74/14.32 tff(29297,plain,(~(constB59 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.32 tff(29298,assumption,(constB118 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.32 tff(29299,plain,
% 20.74/14.32 (v1(constB118) <=> v1(sK0_VarCurr)),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29298])).
% 20.74/14.32 tff(29300,plain,
% 20.74/14.32 (v1(sK0_VarCurr) <=> v1(constB118)),
% 20.74/14.32 inference(symmetry,[status(thm)],[29299])).
% 20.74/14.32 tff(29301,plain,
% 20.74/14.32 ((~v1(sK0_VarCurr)) <=> (~v1(constB118))),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29300])).
% 20.74/14.32 tff(29302,plain,
% 20.74/14.32 (~v1(constB118)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[23510, 29301])).
% 20.74/14.32 tff(29303,plain,
% 20.74/14.32 ($false),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[14843, 29302])).
% 20.74/14.32 tff(29304,plain,(~(constB118 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.32 tff(29305,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.32 tff(29306,plain,
% 20.74/14.32 (v1(constB74) <=> v1(sK0_VarCurr)),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29305])).
% 20.74/14.32 tff(29307,plain,
% 20.74/14.32 (v1(sK0_VarCurr) <=> v1(constB74)),
% 20.74/14.32 inference(symmetry,[status(thm)],[29306])).
% 20.74/14.32 tff(29308,plain,
% 20.74/14.32 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29307])).
% 20.74/14.32 tff(29309,plain,
% 20.74/14.32 (~v1(constB74)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[23510, 29308])).
% 20.74/14.32 tff(29310,plain,
% 20.74/14.32 ($false),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[8231, 29309])).
% 20.74/14.32 tff(29311,plain,(~(constB74 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.32 tff(29312,assumption,(constB83 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.32 tff(29313,plain,
% 20.74/14.32 (v162(constB83) <=> v162(sK0_VarCurr)),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29312])).
% 20.74/14.32 tff(29314,plain,
% 20.74/14.32 (v162(sK0_VarCurr) <=> v162(constB83)),
% 20.74/14.32 inference(symmetry,[status(thm)],[29313])).
% 20.74/14.32 tff(29315,plain,
% 20.74/14.32 (v162(constB83)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[22337, 29314])).
% 20.74/14.32 tff(29316,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB77) | (~v144(constB77)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB77) | (~v144(constB77)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29317,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB77) | (~v144(constB77)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29318,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB77) | (~v144(constB77))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29317, 29316])).
% 20.74/14.32 tff(29319,plain,
% 20.74/14.32 (~v144(constB77)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29318, 22349, 8969])).
% 20.74/14.32 tff(29320,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB77) | (~v142(constB77)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB77) | (~v142(constB77)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29321,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB77) | (~v142(constB77)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29322,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB77) | (~v142(constB77))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29321, 29320])).
% 20.74/14.32 tff(29323,plain,
% 20.74/14.32 (~v142(constB77)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29322, 22360, 29319])).
% 20.74/14.32 tff(29324,plain,
% 20.74/14.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB77)) | (~v140(constB77)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB77)) | (~v140(constB77)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29325,plain,
% 20.74/14.32 (((~v140(constB77)) | (~v138(constB77))) <=> ((~v138(constB77)) | (~v140(constB77)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29326,plain,
% 20.74/14.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB77)) | (~v138(constB77)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB77)) | (~v140(constB77))))),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29325])).
% 20.74/14.32 tff(29327,plain,
% 20.74/14.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB77)) | (~v138(constB77)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB77)) | (~v140(constB77)))),
% 20.74/14.32 inference(transitivity,[status(thm)],[29326, 29324])).
% 20.74/14.32 tff(29328,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB77)) | (~v138(constB77)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29329,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB77)) | (~v140(constB77))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29328, 29327])).
% 20.74/14.32 tff(29330,plain,
% 20.74/14.32 (~v138(constB77)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29329, 22419, 27060])).
% 20.74/14.32 tff(29331,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB77) | v142(constB77) | (~v135(constB77)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB77) | v142(constB77) | (~v135(constB77)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29332,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB77) | v142(constB77) | (~v135(constB77)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29333,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB77) | v142(constB77) | (~v135(constB77))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29332, 29331])).
% 20.74/14.32 tff(29334,plain,
% 20.74/14.32 (v142(constB77) | (~v135(constB77))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29333, 22436, 29330])).
% 20.74/14.32 tff(29335,plain,
% 20.74/14.32 (~v135(constB77)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29334, 29323])).
% 20.74/14.32 tff(29336,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB77, constB78)) | v135(constB77) | (~v137(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB77, constB78)) | v135(constB77) | (~v137(constB78)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29337,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB77, constB78)) | v135(constB77) | (~v137(constB78)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29338,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB77, constB78)) | v135(constB77) | (~v137(constB78))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29337, 29336])).
% 20.74/14.32 tff(29339,plain,
% 20.74/14.32 (v135(constB77) | (~v137(constB78))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29338, 22451, 8826])).
% 20.74/14.32 tff(29340,plain,
% 20.74/14.32 (~v137(constB78)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29339, 29335])).
% 20.74/14.32 tff(29341,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB78) | (~v138(constB78)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB78) | (~v138(constB78)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29342,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB78) | (~v138(constB78)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29343,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB78) | (~v138(constB78))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29342, 29341])).
% 20.74/14.32 tff(29344,plain,
% 20.74/14.32 (~v138(constB78)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29343, 22463, 29340])).
% 20.74/14.32 tff(29345,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB78) | (~v144(constB78)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB78) | (~v144(constB78)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29346,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB78) | (~v144(constB78)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29347,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB78) | (~v144(constB78))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29346, 29345])).
% 20.74/14.32 tff(29348,plain,
% 20.74/14.32 (~v144(constB78)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29347, 22485, 27085])).
% 20.74/14.32 tff(29349,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB78) | (~v142(constB78)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB78) | (~v142(constB78)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29350,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB78) | (~v142(constB78)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29351,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB78) | (~v142(constB78))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29350, 29349])).
% 20.74/14.32 tff(29352,plain,
% 20.74/14.32 (~v142(constB78)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29351, 22360, 29348])).
% 20.74/14.32 tff(29353,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB78) | v142(constB78) | (~v135(constB78)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB78) | v142(constB78) | (~v135(constB78)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29354,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB78) | v142(constB78) | (~v135(constB78)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29355,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB78) | v142(constB78) | (~v135(constB78))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29354, 29353])).
% 20.74/14.32 tff(29356,plain,
% 20.74/14.32 (v138(constB78) | (~v135(constB78))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29355, 22436, 29352])).
% 20.74/14.32 tff(29357,plain,
% 20.74/14.32 (~v135(constB78)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29356, 29344])).
% 20.74/14.32 tff(29358,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB78, constB79)) | v135(constB78) | (~v137(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB78, constB79)) | v135(constB78) | (~v137(constB79)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29359,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB78, constB79)) | v135(constB78) | (~v137(constB79)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29360,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB78, constB79)) | v135(constB78) | (~v137(constB79))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29359, 29358])).
% 20.74/14.32 tff(29361,plain,
% 20.74/14.32 (v135(constB78) | (~v137(constB79))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29360, 22451, 8891])).
% 20.74/14.32 tff(29362,plain,
% 20.74/14.32 (~v137(constB79)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29361, 29357])).
% 20.74/14.32 tff(29363,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB79) | (~v153(constB79)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB79) | (~v153(constB79)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29364,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB79) | (~v153(constB79)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29365,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB79) | (~v153(constB79))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29364, 29363])).
% 20.74/14.32 tff(29366,plain,
% 20.74/14.32 (~v153(constB79)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29365, 22510, 29362])).
% 20.74/14.32 tff(29367,plain,
% 20.74/14.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB79)) | (~v155(constB79)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB79)) | (~v155(constB79)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29368,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB79)) | (~v155(constB79)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29369,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB79)) | (~v155(constB79))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29368, 29367])).
% 20.74/14.32 tff(29370,plain,
% 20.74/14.32 (~v155(constB79)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29369, 22552, 26442])).
% 20.74/14.32 tff(29371,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB79) | v155(constB79) | (~v150(constB79)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB79) | v155(constB79) | (~v150(constB79)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29372,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB79) | v155(constB79) | (~v150(constB79)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29373,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB79) | v155(constB79) | (~v150(constB79))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29372, 29371])).
% 20.74/14.32 tff(29374,plain,
% 20.74/14.32 (v153(constB79) | (~v150(constB79))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29373, 22566, 29370])).
% 20.74/14.32 tff(29375,plain,
% 20.74/14.32 (~v150(constB79)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29374, 29366])).
% 20.74/14.32 tff(29376,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB79, constB80)) | v150(constB79) | (~v152(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB79, constB80)) | v150(constB79) | (~v152(constB80)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29377,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB79, constB80)) | v150(constB79) | (~v152(constB80)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29378,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB79, constB80)) | v150(constB79) | (~v152(constB80))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29377, 29376])).
% 20.74/14.32 tff(29379,plain,
% 20.74/14.32 (v150(constB79) | (~v152(constB80))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29378, 22581, 9055])).
% 20.74/14.32 tff(29380,plain,
% 20.74/14.32 (~v152(constB80)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29379, 29375])).
% 20.74/14.32 tff(29381,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB80) | (~v155(constB80)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB80) | (~v155(constB80)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29382,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB80) | (~v155(constB80)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29383,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB80) | (~v155(constB80))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 20.74/14.32 tff(29384,plain,
% 20.74/14.32 (~v155(constB80)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29383, 22593, 29380])).
% 20.74/14.32 tff(29385,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB80) | (~v154(constB80)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB80) | (~v154(constB80)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29386,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB80) | (~v154(constB80)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29387,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB80) | (~v154(constB80))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29386, 29385])).
% 20.74/14.32 tff(29388,plain,
% 20.74/14.32 (~v154(constB80)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29387, 22608, 26464])).
% 20.74/14.32 tff(29389,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB80) | (~v153(constB80)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB80) | (~v153(constB80)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29390,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB80) | (~v153(constB80)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29391,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB80) | (~v153(constB80))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29390, 29389])).
% 20.74/14.32 tff(29392,plain,
% 20.74/14.32 (~v153(constB80)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29391, 22619, 29388])).
% 20.74/14.32 tff(29393,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB80) | v155(constB80) | (~v150(constB80)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB80) | v155(constB80) | (~v150(constB80)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29394,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB80) | v155(constB80) | (~v150(constB80)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29395,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB80) | v155(constB80) | (~v150(constB80))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29394, 29393])).
% 20.74/14.32 tff(29396,plain,
% 20.74/14.32 (v155(constB80) | (~v150(constB80))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29395, 22566, 29392])).
% 20.74/14.32 tff(29397,plain,
% 20.74/14.32 (~v150(constB80)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29396, 29384])).
% 20.74/14.32 tff(29398,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB80, constB81)) | v150(constB80) | (~v152(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB80, constB81)) | v150(constB80) | (~v152(constB81)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29399,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB80, constB81)) | v150(constB80) | (~v152(constB81)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29400,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB80, constB81)) | v150(constB80) | (~v152(constB81))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29399, 29398])).
% 20.74/14.32 tff(29401,plain,
% 20.74/14.32 (v150(constB80) | (~v152(constB81))),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29400, 22581, 9117])).
% 20.74/14.32 tff(29402,plain,
% 20.74/14.32 (~v152(constB81)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29401, 29397])).
% 20.74/14.32 tff(29403,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB81) | (~v164(constB81)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB81) | (~v164(constB81)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29404,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB81) | (~v164(constB81)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29405,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB81) | (~v164(constB81))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29404, 29403])).
% 20.74/14.32 tff(29406,plain,
% 20.74/14.32 (~v164(constB81)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29405, 22640, 29402])).
% 20.74/14.32 tff(29407,plain,
% 20.74/14.32 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB81)) | (~v163(constB81)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB81)) | (~v163(constB81)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29408,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB81)) | (~v163(constB81)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29409,plain,
% 20.74/14.32 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB81)) | (~v163(constB81))),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29408, 29407])).
% 20.74/14.32 tff(29410,plain,
% 20.74/14.32 (~v163(constB81)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29409, 22781, 26517])).
% 20.74/14.32 tff(29411,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB81)) | v163(constB81) | v164(constB81))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB81)) | v163(constB81) | v164(constB81))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29412,plain,
% 20.74/14.32 ((v164(constB81) | v163(constB81) | (~v160(constB81))) <=> ((~v160(constB81)) | v163(constB81) | v164(constB81))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29413,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB81) | v163(constB81) | (~v160(constB81)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB81)) | v163(constB81) | v164(constB81)))),
% 20.74/14.32 inference(monotonicity,[status(thm)],[29412])).
% 20.74/14.32 tff(29414,plain,
% 20.74/14.32 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB81) | v163(constB81) | (~v160(constB81)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB81)) | v163(constB81) | v164(constB81))),
% 20.74/14.32 inference(transitivity,[status(thm)],[29413, 29411])).
% 20.74/14.32 tff(29415,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB81) | v163(constB81) | (~v160(constB81)))),
% 20.74/14.32 inference(quant_inst,[status(thm)],[])).
% 20.74/14.32 tff(29416,plain,
% 20.74/14.32 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB81)) | v163(constB81) | v164(constB81)),
% 20.74/14.32 inference(modus_ponens,[status(thm)],[29415, 29414])).
% 20.74/14.32 tff(29417,plain,
% 20.74/14.32 ((~v160(constB81)) | v164(constB81)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29416, 22795, 29410])).
% 20.74/14.32 tff(29418,plain,
% 20.74/14.32 (~v160(constB81)),
% 20.74/14.32 inference(unit_resolution,[status(thm)],[29417, 29406])).
% 20.74/14.32 tff(29419,plain,
% 20.74/14.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB81, constB82)) | v160(constB81) | (~v162(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB81, constB82)) | v160(constB81) | (~v162(constB82)))),
% 20.74/14.32 inference(rewrite,[status(thm)],[])).
% 20.74/14.32 tff(29420,plain,
% 20.74/14.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB81, constB82)) | v160(constB81) | (~v162(constB82)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29421,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB81, constB82)) | v160(constB81) | (~v162(constB82))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29420, 29419])).
% 20.74/14.33 tff(29422,plain,
% 20.74/14.33 (v160(constB81) | (~v162(constB82))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29421, 22813, 9245])).
% 20.74/14.33 tff(29423,plain,
% 20.74/14.33 (~v162(constB82)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29422, 29418])).
% 20.74/14.33 tff(29424,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB82) | (~v163(constB82)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB82) | (~v163(constB82)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29425,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB82) | (~v163(constB82)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29426,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB82) | (~v163(constB82))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29425, 29424])).
% 20.74/14.33 tff(29427,plain,
% 20.74/14.33 (~v163(constB82)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29426, 22825, 29423])).
% 20.74/14.33 tff(29428,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB82) | (~v164(constB82)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB82) | (~v164(constB82)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29429,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB82) | (~v164(constB82)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29430,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB82) | (~v164(constB82))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29429, 29428])).
% 20.74/14.33 tff(29431,plain,
% 20.74/14.33 (~v164(constB82)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29430, 22836, 26543])).
% 20.74/14.33 tff(29432,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB82)) | v164(constB82) | v163(constB82))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB82)) | v164(constB82) | v163(constB82))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29433,plain,
% 20.74/14.33 ((v164(constB82) | v163(constB82) | (~v160(constB82))) <=> ((~v160(constB82)) | v164(constB82) | v163(constB82))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29434,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB82) | v163(constB82) | (~v160(constB82)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB82)) | v164(constB82) | v163(constB82)))),
% 20.74/14.33 inference(monotonicity,[status(thm)],[29433])).
% 20.74/14.33 tff(29435,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB82) | v163(constB82) | (~v160(constB82)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB82)) | v164(constB82) | v163(constB82))),
% 20.74/14.33 inference(transitivity,[status(thm)],[29434, 29432])).
% 20.74/14.33 tff(29436,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB82) | v163(constB82) | (~v160(constB82)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29437,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB82)) | v164(constB82) | v163(constB82)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29436, 29435])).
% 20.74/14.33 tff(29438,plain,
% 20.74/14.33 ((~v160(constB82)) | v163(constB82)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29437, 22795, 29431])).
% 20.74/14.33 tff(29439,plain,
% 20.74/14.33 (~v160(constB82)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29438, 29427])).
% 20.74/14.33 tff(29440,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB82, constB83)) | v160(constB82) | (~v162(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB82, constB83)) | v160(constB82) | (~v162(constB83)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29441,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB82, constB83)) | v160(constB82) | (~v162(constB83)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29442,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB82, constB83)) | v160(constB82) | (~v162(constB83))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29441, 29440])).
% 20.74/14.33 tff(29443,plain,
% 20.74/14.33 (v160(constB82) | (~v162(constB83))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29442, 22813, 9311])).
% 20.74/14.33 tff(29444,plain,
% 20.74/14.33 (~v162(constB83)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29443, 29439])).
% 20.74/14.33 tff(29445,plain,
% 20.74/14.33 ($false),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29444, 29315])).
% 20.74/14.33 tff(29446,plain,(~(constB83 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.33 tff(29447,assumption,(constB104 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.33 tff(29448,plain,
% 20.74/14.33 (v1(constB104) <=> v1(sK0_VarCurr)),
% 20.74/14.33 inference(monotonicity,[status(thm)],[29447])).
% 20.74/14.33 tff(29449,plain,
% 20.74/14.33 (v1(sK0_VarCurr) <=> v1(constB104)),
% 20.74/14.33 inference(symmetry,[status(thm)],[29448])).
% 20.74/14.33 tff(29450,plain,
% 20.74/14.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB104))),
% 20.74/14.33 inference(monotonicity,[status(thm)],[29449])).
% 20.74/14.33 tff(29451,plain,
% 20.74/14.33 (~v1(constB104)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[23510, 29450])).
% 20.74/14.33 tff(29452,plain,
% 20.74/14.33 ($false),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[13508, 29451])).
% 20.74/14.33 tff(29453,plain,(~(constB104 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.33 tff(29454,assumption,(constB124 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.33 tff(29455,plain,
% 20.74/14.33 (v1(constB124) <=> v1(sK0_VarCurr)),
% 20.74/14.33 inference(monotonicity,[status(thm)],[29454])).
% 20.74/14.33 tff(29456,plain,
% 20.74/14.33 (v1(sK0_VarCurr) <=> v1(constB124)),
% 20.74/14.33 inference(symmetry,[status(thm)],[29455])).
% 20.74/14.33 tff(29457,plain,
% 20.74/14.33 ((~v1(sK0_VarCurr)) <=> (~v1(constB124))),
% 20.74/14.33 inference(monotonicity,[status(thm)],[29456])).
% 20.74/14.33 tff(29458,plain,
% 20.74/14.33 (~v1(constB124)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[23510, 29457])).
% 20.74/14.33 tff(29459,plain,
% 20.74/14.33 ($false),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[15568, 29458])).
% 20.74/14.33 tff(29460,plain,(~(constB124 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.33 tff(29461,assumption,(constB15 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.33 tff(29462,plain,
% 20.74/14.33 (v162(constB15) <=> v162(sK0_VarCurr)),
% 20.74/14.33 inference(monotonicity,[status(thm)],[29461])).
% 20.74/14.33 tff(29463,plain,
% 20.74/14.33 (v162(sK0_VarCurr) <=> v162(constB15)),
% 20.74/14.33 inference(symmetry,[status(thm)],[29462])).
% 20.74/14.33 tff(29464,plain,
% 20.74/14.33 (v162(constB15)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[22337, 29463])).
% 20.74/14.33 tff(29465,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB13) | (~v164(constB13)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB13) | (~v164(constB13)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29466,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB13) | (~v164(constB13)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29467,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB13) | (~v164(constB13))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29466, 29465])).
% 20.74/14.33 tff(29468,plain,
% 20.74/14.33 (~v164(constB13)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29467, 22640, 24736])).
% 20.74/14.33 tff(29469,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB9) | (~v153(constB9)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB9) | (~v153(constB9)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29470,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB9) | (~v153(constB9)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29471,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB9) | (~v153(constB9))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29470, 29469])).
% 20.74/14.33 tff(29472,plain,
% 20.74/14.33 (~v153(constB9)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29471, 22510, 24656])).
% 20.74/14.33 tff(29473,plain,
% 20.74/14.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB5, bitIndex1)) | (~v145(constB5)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB5, bitIndex1)) | (~v145(constB5)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29474,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB5, bitIndex1)) | (~v145(constB5)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29475,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB5, bitIndex1)) | (~v145(constB5))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29474, 29473])).
% 20.74/14.33 tff(29476,plain,
% 20.74/14.33 (~v145(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29475, 2012, 861])).
% 20.74/14.33 tff(29477,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB5) | (~v144(constB5)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB5) | (~v144(constB5)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29478,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB5) | (~v144(constB5)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29479,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB5) | (~v144(constB5))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29478, 29477])).
% 20.74/14.33 tff(29480,plain,
% 20.74/14.33 (~v144(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29479, 22349, 29476])).
% 20.74/14.33 tff(29481,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB5) | (~v142(constB5)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29482,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB5) | (~v142(constB5)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29483,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB5) | (~v142(constB5))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29482, 29481])).
% 20.74/14.33 tff(29484,plain,
% 20.74/14.33 (~v142(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29483, 22360, 29480])).
% 20.74/14.33 tff(29485,assumption,(v18(constB6)), introduced(assumption)).
% 20.74/14.33 tff(29486,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB6))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29487,plain,
% 20.74/14.33 ($false),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29486, 2627, 29485])).
% 20.74/14.33 tff(29488,plain,(~v18(constB6)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.33 tff(29489,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29490,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29491,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29490, 29489])).
% 20.74/14.33 tff(29492,plain,
% 20.74/14.33 (v22(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29491, 2640, 1008])).
% 20.74/14.33 tff(29493,plain,
% 20.74/14.33 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB6)) | (~v22(constB6)) | v18(constB6))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB6)) | (~v22(constB6)) | v18(constB6))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29494,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB6)) | (~v22(constB6)) | v18(constB6))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29495,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB6)) | (~v22(constB6)) | v18(constB6)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29494, 29493])).
% 20.74/14.33 tff(29496,plain,
% 20.74/14.33 ((~v19(constB6)) | v18(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29495, 2654, 29492])).
% 20.74/14.33 tff(29497,plain,
% 20.74/14.33 (~v19(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29496, 29488])).
% 20.74/14.33 tff(29498,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29499,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29500,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29499, 29498])).
% 20.74/14.33 tff(29501,plain,
% 20.74/14.33 (v13(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29500, 2669, 29497])).
% 20.74/14.33 tff(29502,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29503,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29504,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB5, constB6)) | (~v13(constB6)) | v9(constB5)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29503, 29502])).
% 20.74/14.33 tff(29505,plain,
% 20.74/14.33 ((~v13(constB6)) | v9(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29504, 2686, 988])).
% 20.74/14.33 tff(29506,plain,
% 20.74/14.33 (v9(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29505, 29501])).
% 20.74/14.33 tff(29507,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v141(constB5))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB5) | (~v9(constB5)) | v141(constB5))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29508,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v141(constB5))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29509,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB5) | (~v9(constB5)) | v141(constB5)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29508, 29507])).
% 20.74/14.33 tff(29510,plain,
% 20.74/14.33 ((~v9(constB5)) | v141(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29509, 22396, 756])).
% 20.74/14.33 tff(29511,plain,
% 20.74/14.33 (v141(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29510, 29506])).
% 20.74/14.33 tff(29512,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB5) | (~v141(constB5)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB5) | (~v141(constB5)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29513,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB5) | (~v141(constB5)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29514,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB5) | (~v141(constB5))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29513, 29512])).
% 20.74/14.33 tff(29515,plain,
% 20.74/14.33 (v140(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29514, 22408, 29511])).
% 20.74/14.33 tff(29516,plain,
% 20.74/14.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB5)) | (~v140(constB5)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB5)) | (~v140(constB5)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29517,plain,
% 20.74/14.33 (((~v140(constB5)) | (~v138(constB5))) <=> ((~v138(constB5)) | (~v140(constB5)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29518,plain,
% 20.74/14.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB5)) | (~v138(constB5)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB5)) | (~v140(constB5))))),
% 20.74/14.33 inference(monotonicity,[status(thm)],[29517])).
% 20.74/14.33 tff(29519,plain,
% 20.74/14.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB5)) | (~v138(constB5)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB5)) | (~v140(constB5)))),
% 20.74/14.33 inference(transitivity,[status(thm)],[29518, 29516])).
% 20.74/14.33 tff(29520,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB5)) | (~v138(constB5)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29521,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB5)) | (~v140(constB5))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29520, 29519])).
% 20.74/14.33 tff(29522,plain,
% 20.74/14.33 (~v138(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29521, 22419, 29515])).
% 20.74/14.33 tff(29523,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB5) | v142(constB5) | (~v135(constB5)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB5) | v142(constB5) | (~v135(constB5)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29524,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB5) | v142(constB5) | (~v135(constB5)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29525,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB5) | v142(constB5) | (~v135(constB5))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29524, 29523])).
% 20.74/14.33 tff(29526,plain,
% 20.74/14.33 (v142(constB5) | (~v135(constB5))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29525, 22436, 29522])).
% 20.74/14.33 tff(29527,plain,
% 20.74/14.33 (~v135(constB5)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29526, 29484])).
% 20.74/14.33 tff(29528,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29529,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29530,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29529, 29528])).
% 20.74/14.33 tff(29531,plain,
% 20.74/14.33 (v135(constB5) | (~v137(constB6))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29530, 22451, 988])).
% 20.74/14.33 tff(29532,plain,
% 20.74/14.33 (~v137(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29531, 29527])).
% 20.74/14.33 tff(29533,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB6) | (~v138(constB6)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB6) | (~v138(constB6)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29534,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB6) | (~v138(constB6)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29535,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB6) | (~v138(constB6))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29534, 29533])).
% 20.74/14.33 tff(29536,plain,
% 20.74/14.33 (~v138(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29535, 22463, 29532])).
% 20.74/14.33 tff(29537,plain,
% 20.74/14.33 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB6)) | (~v141(constB6)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB6)) | (~v141(constB6)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29538,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB6)) | (~v141(constB6)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29539,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB6)) | (~v141(constB6))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29538, 29537])).
% 20.74/14.33 tff(29540,plain,
% 20.74/14.33 (~v141(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29539, 22474, 1008])).
% 20.74/14.33 tff(29541,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB6) | (~v144(constB6)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB6) | (~v144(constB6)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29542,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB6) | (~v144(constB6)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29543,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB6) | (~v144(constB6))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29542, 29541])).
% 20.74/14.33 tff(29544,plain,
% 20.74/14.33 (~v144(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29543, 22485, 29540])).
% 20.74/14.33 tff(29545,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB6) | (~v142(constB6)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB6) | (~v142(constB6)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29546,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB6) | (~v142(constB6)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29547,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB6) | (~v142(constB6))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29546, 29545])).
% 20.74/14.33 tff(29548,plain,
% 20.74/14.33 (~v142(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29547, 22360, 29544])).
% 20.74/14.33 tff(29549,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB6) | v142(constB6) | (~v135(constB6)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB6) | v142(constB6) | (~v135(constB6)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29550,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB6) | v142(constB6) | (~v135(constB6)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29551,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB6) | v142(constB6) | (~v135(constB6))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29550, 29549])).
% 20.74/14.33 tff(29552,plain,
% 20.74/14.33 (v138(constB6) | (~v135(constB6))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29551, 22436, 29548])).
% 20.74/14.33 tff(29553,plain,
% 20.74/14.33 (~v135(constB6)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29552, 29536])).
% 20.74/14.33 tff(29554,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29555,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29556,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29555, 29554])).
% 20.74/14.33 tff(29557,plain,
% 20.74/14.33 (v135(constB6) | (~v137(constB7))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29556, 22451, 1063])).
% 20.74/14.33 tff(29558,plain,
% 20.74/14.33 (~v137(constB7)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29557, 29553])).
% 20.74/14.33 tff(29559,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB7) | (~v153(constB7)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB7) | (~v153(constB7)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29560,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB7) | (~v153(constB7)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29561,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB7) | (~v153(constB7))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29560, 29559])).
% 20.74/14.33 tff(29562,plain,
% 20.74/14.33 (~v153(constB7)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29561, 22510, 29558])).
% 20.74/14.33 tff(29563,plain,
% 20.74/14.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB7)) | (~v155(constB7)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB7)) | (~v155(constB7)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29564,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB7)) | (~v155(constB7)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29565,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB7)) | (~v155(constB7))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29564, 29563])).
% 20.74/14.33 tff(29566,plain,
% 20.74/14.33 (~v155(constB7)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29565, 22552, 24613])).
% 20.74/14.33 tff(29567,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB7) | v155(constB7) | (~v150(constB7)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB7) | v155(constB7) | (~v150(constB7)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29568,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB7) | v155(constB7) | (~v150(constB7)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29569,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB7) | v155(constB7) | (~v150(constB7))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29568, 29567])).
% 20.74/14.33 tff(29570,plain,
% 20.74/14.33 (v153(constB7) | (~v150(constB7))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29569, 22566, 29566])).
% 20.74/14.33 tff(29571,plain,
% 20.74/14.33 (~v150(constB7)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29570, 29562])).
% 20.74/14.33 tff(29572,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29573,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29574,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29573, 29572])).
% 20.74/14.33 tff(29575,plain,
% 20.74/14.33 (v150(constB7) | (~v152(constB8))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29574, 22581, 1215])).
% 20.74/14.33 tff(29576,plain,
% 20.74/14.33 (~v152(constB8)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29575, 29571])).
% 20.74/14.33 tff(29577,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB8) | (~v155(constB8)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB8) | (~v155(constB8)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29578,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB8) | (~v155(constB8)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29579,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB8) | (~v155(constB8))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29578, 29577])).
% 20.74/14.33 tff(29580,plain,
% 20.74/14.33 (~v155(constB8)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29579, 22593, 29576])).
% 20.74/14.33 tff(29581,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB8) | (~v154(constB8)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB8) | (~v154(constB8)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29582,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB8) | (~v154(constB8)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29583,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB8) | (~v154(constB8))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29582, 29581])).
% 20.74/14.33 tff(29584,plain,
% 20.74/14.33 (~v154(constB8)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29583, 22608, 24638])).
% 20.74/14.33 tff(29585,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB8) | (~v153(constB8)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB8) | (~v153(constB8)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29586,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB8) | (~v153(constB8)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29587,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB8) | (~v153(constB8))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29586, 29585])).
% 20.74/14.33 tff(29588,plain,
% 20.74/14.33 (~v153(constB8)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29587, 22619, 29584])).
% 20.74/14.33 tff(29589,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB8) | v155(constB8) | (~v150(constB8)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB8) | v155(constB8) | (~v150(constB8)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29590,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB8) | v155(constB8) | (~v150(constB8)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29591,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB8) | v155(constB8) | (~v150(constB8))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29590, 29589])).
% 20.74/14.33 tff(29592,plain,
% 20.74/14.33 (v155(constB8) | (~v150(constB8))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29591, 22566, 29588])).
% 20.74/14.33 tff(29593,plain,
% 20.74/14.33 (~v150(constB8)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29592, 29580])).
% 20.74/14.33 tff(29594,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29595,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29596,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29595, 29594])).
% 20.74/14.33 tff(29597,plain,
% 20.74/14.33 (v150(constB8) | (~v152(constB9))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29596, 22581, 1317])).
% 20.74/14.33 tff(29598,plain,
% 20.74/14.33 (~v152(constB9)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29597, 29593])).
% 20.74/14.33 tff(29599,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB9) | (~v155(constB9)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB9) | (~v155(constB9)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29600,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB9) | (~v155(constB9)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29601,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB9) | (~v155(constB9))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29600, 29599])).
% 20.74/14.33 tff(29602,plain,
% 20.74/14.33 (~v155(constB9)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29601, 22593, 29598])).
% 20.74/14.33 tff(29603,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB9) | v155(constB9) | (~v150(constB9)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB9) | v155(constB9) | (~v150(constB9)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29604,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB9) | v155(constB9) | (~v150(constB9)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29605,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB9) | v155(constB9) | (~v150(constB9))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29604, 29603])).
% 20.74/14.33 tff(29606,plain,
% 20.74/14.33 (v153(constB9) | (~v150(constB9))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29605, 22566, 29602])).
% 20.74/14.33 tff(29607,plain,
% 20.74/14.33 (~v150(constB9)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29606, 29472])).
% 20.74/14.33 tff(29608,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB9, constB10)) | v150(constB9) | (~v152(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB9, constB10)) | v150(constB9) | (~v152(constB10)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29609,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB9, constB10)) | v150(constB9) | (~v152(constB10)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29610,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB9, constB10)) | v150(constB9) | (~v152(constB10))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29609, 29608])).
% 20.74/14.33 tff(29611,plain,
% 20.74/14.33 (v150(constB9) | (~v152(constB10))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29610, 22581, 1484])).
% 20.74/14.33 tff(29612,plain,
% 20.74/14.33 (~v152(constB10)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29611, 29607])).
% 20.74/14.33 tff(29613,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB10) | (~v155(constB10)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB10) | (~v155(constB10)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29614,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB10) | (~v155(constB10)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29615,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB10) | (~v155(constB10))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29614, 29613])).
% 20.74/14.33 tff(29616,plain,
% 20.74/14.33 (~v155(constB10)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29615, 22593, 29612])).
% 20.74/14.33 tff(29617,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB10) | (~v154(constB10)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB10) | (~v154(constB10)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29618,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB10) | (~v154(constB10)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29619,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB10) | (~v154(constB10))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29618, 29617])).
% 20.74/14.33 tff(29620,plain,
% 20.74/14.33 (~v154(constB10)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29619, 22608, 24678])).
% 20.74/14.33 tff(29621,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB10) | (~v153(constB10)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB10) | (~v153(constB10)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29622,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB10) | (~v153(constB10)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29623,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB10) | (~v153(constB10))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29622, 29621])).
% 20.74/14.33 tff(29624,plain,
% 20.74/14.33 (~v153(constB10)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29623, 22619, 29620])).
% 20.74/14.33 tff(29625,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB10) | v155(constB10) | (~v150(constB10)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB10) | v155(constB10) | (~v150(constB10)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29626,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB10) | v155(constB10) | (~v150(constB10)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29627,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB10) | v155(constB10) | (~v150(constB10))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29626, 29625])).
% 20.74/14.33 tff(29628,plain,
% 20.74/14.33 (v155(constB10) | (~v150(constB10))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29627, 22566, 29624])).
% 20.74/14.33 tff(29629,plain,
% 20.74/14.33 (~v150(constB10)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29628, 29616])).
% 20.74/14.33 tff(29630,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB10, constB11)) | v150(constB10) | (~v152(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB10, constB11)) | v150(constB10) | (~v152(constB11)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29631,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB10, constB11)) | v150(constB10) | (~v152(constB11)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29632,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB10, constB11)) | v150(constB10) | (~v152(constB11))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29631, 29630])).
% 20.74/14.33 tff(29633,plain,
% 20.74/14.33 (v150(constB10) | (~v152(constB11))),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29632, 22581, 1556])).
% 20.74/14.33 tff(29634,plain,
% 20.74/14.33 (~v152(constB11)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29633, 29629])).
% 20.74/14.33 tff(29635,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB11) | (~v164(constB11)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB11) | (~v164(constB11)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29636,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB11) | (~v164(constB11)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29637,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB11) | (~v164(constB11))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29636, 29635])).
% 20.74/14.33 tff(29638,plain,
% 20.74/14.33 (~v164(constB11)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29637, 22640, 29634])).
% 20.74/14.33 tff(29639,plain,
% 20.74/14.33 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB11)) | (~v163(constB11)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB11)) | (~v163(constB11)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29640,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB11)) | (~v163(constB11)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29641,plain,
% 20.74/14.33 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB11)) | (~v163(constB11))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29640, 29639])).
% 20.74/14.33 tff(29642,plain,
% 20.74/14.33 (~v163(constB11)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29641, 22781, 24511])).
% 20.74/14.33 tff(29643,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB11)) | v163(constB11) | v164(constB11))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB11)) | v163(constB11) | v164(constB11))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29644,plain,
% 20.74/14.33 ((v164(constB11) | v163(constB11) | (~v160(constB11))) <=> ((~v160(constB11)) | v163(constB11) | v164(constB11))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29645,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB11) | v163(constB11) | (~v160(constB11)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB11)) | v163(constB11) | v164(constB11)))),
% 20.74/14.33 inference(monotonicity,[status(thm)],[29644])).
% 20.74/14.33 tff(29646,plain,
% 20.74/14.33 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB11) | v163(constB11) | (~v160(constB11)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB11)) | v163(constB11) | v164(constB11))),
% 20.74/14.33 inference(transitivity,[status(thm)],[29645, 29643])).
% 20.74/14.33 tff(29647,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB11) | v163(constB11) | (~v160(constB11)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29648,plain,
% 20.74/14.33 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB11)) | v163(constB11) | v164(constB11)),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29647, 29646])).
% 20.74/14.33 tff(29649,plain,
% 20.74/14.33 ((~v160(constB11)) | v164(constB11)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29648, 22795, 29642])).
% 20.74/14.33 tff(29650,plain,
% 20.74/14.33 (~v160(constB11)),
% 20.74/14.33 inference(unit_resolution,[status(thm)],[29649, 29638])).
% 20.74/14.33 tff(29651,plain,
% 20.74/14.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB11, constB12)) | v160(constB11) | (~v162(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB11, constB12)) | v160(constB11) | (~v162(constB12)))),
% 20.74/14.33 inference(rewrite,[status(thm)],[])).
% 20.74/14.33 tff(29652,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB11, constB12)) | v160(constB11) | (~v162(constB12)))),
% 20.74/14.33 inference(quant_inst,[status(thm)],[])).
% 20.74/14.33 tff(29653,plain,
% 20.74/14.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB11, constB12)) | v160(constB11) | (~v162(constB12))),
% 20.74/14.33 inference(modus_ponens,[status(thm)],[29652, 29651])).
% 20.74/14.34 tff(29654,plain,
% 20.74/14.34 (v160(constB11) | (~v162(constB12))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29653, 22813, 1706])).
% 20.74/14.34 tff(29655,plain,
% 20.74/14.34 (~v162(constB12)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29654, 29650])).
% 20.74/14.34 tff(29656,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB12) | (~v163(constB12)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB12) | (~v163(constB12)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29657,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB12) | (~v163(constB12)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29658,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB12) | (~v163(constB12))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29657, 29656])).
% 20.74/14.34 tff(29659,plain,
% 20.74/14.34 (~v163(constB12)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29658, 22825, 29655])).
% 20.74/14.34 tff(29660,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB12) | (~v164(constB12)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB12) | (~v164(constB12)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29661,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB12) | (~v164(constB12)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29662,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB12) | (~v164(constB12))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29661, 29660])).
% 20.74/14.34 tff(29663,plain,
% 20.74/14.34 (~v164(constB12)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29662, 22836, 24722])).
% 20.74/14.34 tff(29664,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB12)) | v164(constB12) | v163(constB12))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB12)) | v164(constB12) | v163(constB12))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29665,plain,
% 20.74/14.34 ((v164(constB12) | v163(constB12) | (~v160(constB12))) <=> ((~v160(constB12)) | v164(constB12) | v163(constB12))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29666,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB12) | v163(constB12) | (~v160(constB12)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB12)) | v164(constB12) | v163(constB12)))),
% 20.74/14.34 inference(monotonicity,[status(thm)],[29665])).
% 20.74/14.34 tff(29667,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB12) | v163(constB12) | (~v160(constB12)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB12)) | v164(constB12) | v163(constB12))),
% 20.74/14.34 inference(transitivity,[status(thm)],[29666, 29664])).
% 20.74/14.34 tff(29668,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB12) | v163(constB12) | (~v160(constB12)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29669,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB12)) | v164(constB12) | v163(constB12)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29668, 29667])).
% 20.74/14.34 tff(29670,plain,
% 20.74/14.34 ((~v160(constB12)) | v163(constB12)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29669, 22795, 29663])).
% 20.74/14.34 tff(29671,plain,
% 20.74/14.34 (~v160(constB12)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29670, 29659])).
% 20.74/14.34 tff(29672,plain,
% 20.74/14.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB12, constB13)) | v160(constB12) | (~v162(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB12, constB13)) | v160(constB12) | (~v162(constB13)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29673,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB12, constB13)) | v160(constB12) | (~v162(constB13)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29674,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB12, constB13)) | v160(constB12) | (~v162(constB13))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29673, 29672])).
% 20.74/14.34 tff(29675,plain,
% 20.74/14.34 (v160(constB12) | (~v162(constB13))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29674, 22813, 1778])).
% 20.74/14.34 tff(29676,plain,
% 20.74/14.34 (~v162(constB13)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29675, 29671])).
% 20.74/14.34 tff(29677,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB13) | (~v163(constB13)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB13) | (~v163(constB13)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29678,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB13) | (~v163(constB13)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29679,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB13) | (~v163(constB13))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29678, 29677])).
% 20.74/14.34 tff(29680,plain,
% 20.74/14.34 (~v163(constB13)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29679, 22825, 29676])).
% 20.74/14.34 tff(29681,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB13)) | v163(constB13) | v164(constB13))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB13)) | v163(constB13) | v164(constB13))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29682,plain,
% 20.74/14.34 ((v164(constB13) | v163(constB13) | (~v160(constB13))) <=> ((~v160(constB13)) | v163(constB13) | v164(constB13))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29683,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB13) | v163(constB13) | (~v160(constB13)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB13)) | v163(constB13) | v164(constB13)))),
% 20.74/14.34 inference(monotonicity,[status(thm)],[29682])).
% 20.74/14.34 tff(29684,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB13) | v163(constB13) | (~v160(constB13)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB13)) | v163(constB13) | v164(constB13))),
% 20.74/14.34 inference(transitivity,[status(thm)],[29683, 29681])).
% 20.74/14.34 tff(29685,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB13) | v163(constB13) | (~v160(constB13)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29686,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB13)) | v163(constB13) | v164(constB13)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29685, 29684])).
% 20.74/14.34 tff(29687,plain,
% 20.74/14.34 ((~v160(constB13)) | v164(constB13)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29686, 22795, 29680])).
% 20.74/14.34 tff(29688,plain,
% 20.74/14.34 (~v160(constB13)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29687, 29468])).
% 20.74/14.34 tff(29689,plain,
% 20.74/14.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29690,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29691,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29690, 29689])).
% 20.74/14.34 tff(29692,plain,
% 20.74/14.34 (v160(constB13) | (~v162(constB14))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29691, 22813, 1924])).
% 20.74/14.34 tff(29693,plain,
% 20.74/14.34 (~v162(constB14)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29692, 29688])).
% 20.74/14.34 tff(29694,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB14) | (~v163(constB14)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB14) | (~v163(constB14)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29695,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB14) | (~v163(constB14)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29696,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB14) | (~v163(constB14))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29695, 29694])).
% 20.74/14.34 tff(29697,plain,
% 20.74/14.34 (~v163(constB14)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29696, 22825, 29693])).
% 20.74/14.34 tff(29698,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB14) | (~v164(constB14)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB14) | (~v164(constB14)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29699,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB14) | (~v164(constB14)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29700,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB14) | (~v164(constB14))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29699, 29698])).
% 20.74/14.34 tff(29701,plain,
% 20.74/14.34 (~v164(constB14)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29700, 22836, 24762])).
% 20.74/14.34 tff(29702,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB14)) | v164(constB14) | v163(constB14))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB14)) | v164(constB14) | v163(constB14))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29703,plain,
% 20.74/14.34 ((v164(constB14) | v163(constB14) | (~v160(constB14))) <=> ((~v160(constB14)) | v164(constB14) | v163(constB14))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29704,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB14) | v163(constB14) | (~v160(constB14)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB14)) | v164(constB14) | v163(constB14)))),
% 20.74/14.34 inference(monotonicity,[status(thm)],[29703])).
% 20.74/14.34 tff(29705,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB14) | v163(constB14) | (~v160(constB14)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB14)) | v164(constB14) | v163(constB14))),
% 20.74/14.34 inference(transitivity,[status(thm)],[29704, 29702])).
% 20.74/14.34 tff(29706,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB14) | v163(constB14) | (~v160(constB14)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29707,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB14)) | v164(constB14) | v163(constB14)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29706, 29705])).
% 20.74/14.34 tff(29708,plain,
% 20.74/14.34 ((~v160(constB14)) | v163(constB14)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29707, 22795, 29701])).
% 20.74/14.34 tff(29709,plain,
% 20.74/14.34 (~v160(constB14)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29708, 29697])).
% 20.74/14.34 tff(29710,plain,
% 20.74/14.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29711,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29712,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29711, 29710])).
% 20.74/14.34 tff(29713,plain,
% 20.74/14.34 (v160(constB14) | (~v162(constB15))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29712, 22813, 2071])).
% 20.74/14.34 tff(29714,plain,
% 20.74/14.34 (~v162(constB15)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29713, 29709])).
% 20.74/14.34 tff(29715,plain,
% 20.74/14.34 ($false),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29714, 29464])).
% 20.74/14.34 tff(29716,plain,(~(constB15 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.34 tff(29717,assumption,(constB138 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.34 tff(29718,plain,
% 20.74/14.34 (v1(constB138) <=> v1(sK0_VarCurr)),
% 20.74/14.34 inference(monotonicity,[status(thm)],[29717])).
% 20.74/14.34 tff(29719,plain,
% 20.74/14.34 (v1(sK0_VarCurr) <=> v1(constB138)),
% 20.74/14.34 inference(symmetry,[status(thm)],[29718])).
% 20.74/14.34 tff(29720,plain,
% 20.74/14.34 ((~v1(sK0_VarCurr)) <=> (~v1(constB138))),
% 20.74/14.34 inference(monotonicity,[status(thm)],[29719])).
% 20.74/14.34 tff(29721,plain,
% 20.74/14.34 (~v1(constB138)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[23510, 29720])).
% 20.74/14.34 tff(29722,plain,
% 20.74/14.34 ($false),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[16975, 29721])).
% 20.74/14.34 tff(29723,plain,(~(constB138 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.34 tff(29724,assumption,(constB187 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.34 tff(29725,plain,
% 20.74/14.34 (v162(constB187) <=> v162(sK0_VarCurr)),
% 20.74/14.34 inference(monotonicity,[status(thm)],[29724])).
% 20.74/14.34 tff(29726,plain,
% 20.74/14.34 (v162(sK0_VarCurr) <=> v162(constB187)),
% 20.74/14.34 inference(symmetry,[status(thm)],[29725])).
% 20.74/14.34 tff(29727,plain,
% 20.74/14.34 (v162(constB187)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[22337, 29726])).
% 20.74/14.34 tff(29728,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB181) | (~v144(constB181)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB181) | (~v144(constB181)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29729,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB181) | (~v144(constB181)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29730,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB181) | (~v144(constB181))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 20.74/14.34 tff(29731,plain,
% 20.74/14.34 (~v144(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29730, 22349, 21556])).
% 20.74/14.34 tff(29732,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB181) | (~v142(constB181)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29733,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB181) | (~v142(constB181)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29734,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB181) | (~v142(constB181))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29733, 29732])).
% 20.74/14.34 tff(29735,plain,
% 20.74/14.34 (~v142(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29734, 22360, 29731])).
% 20.74/14.34 tff(29736,assumption,(v18(constB182)), introduced(assumption)).
% 20.74/14.34 tff(29737,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB182))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29738,plain,
% 20.74/14.34 ($false),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29737, 2627, 29736])).
% 20.74/14.34 tff(29739,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.34 tff(29740,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29741,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29742,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29741, 29740])).
% 20.74/14.34 tff(29743,plain,
% 20.74/14.34 (v22(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29742, 2640, 21518])).
% 20.74/14.34 tff(29744,plain,
% 20.74/14.34 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29745,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB182)) | (~v22(constB182)) | v18(constB182))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29746,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB182)) | (~v22(constB182)) | v18(constB182)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29745, 29744])).
% 20.74/14.34 tff(29747,plain,
% 20.74/14.34 ((~v19(constB182)) | v18(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29746, 2654, 29743])).
% 20.74/14.34 tff(29748,plain,
% 20.74/14.34 (~v19(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29747, 29739])).
% 20.74/14.34 tff(29749,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29750,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29751,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29750, 29749])).
% 20.74/14.34 tff(29752,plain,
% 20.74/14.34 (v13(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29751, 2669, 29748])).
% 20.74/14.34 tff(29753,plain,
% 20.74/14.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29754,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29755,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB181, constB182)) | (~v13(constB182)) | v9(constB181)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29754, 29753])).
% 20.74/14.34 tff(29756,plain,
% 20.74/14.34 ((~v13(constB182)) | v9(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29755, 2686, 21498])).
% 20.74/14.34 tff(29757,plain,
% 20.74/14.34 (v9(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29756, 29752])).
% 20.74/14.34 tff(29758,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v141(constB181))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB181) | (~v9(constB181)) | v141(constB181))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29759,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v141(constB181))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29760,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB181) | (~v9(constB181)) | v141(constB181)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29759, 29758])).
% 20.74/14.34 tff(29761,plain,
% 20.74/14.34 ((~v9(constB181)) | v141(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29760, 22396, 21382])).
% 20.74/14.34 tff(29762,plain,
% 20.74/14.34 (v141(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29761, 29757])).
% 20.74/14.34 tff(29763,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB181) | (~v141(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB181) | (~v141(constB181)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29764,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB181) | (~v141(constB181)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29765,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB181) | (~v141(constB181))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 20.74/14.34 tff(29766,plain,
% 20.74/14.34 (v140(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29765, 22408, 29762])).
% 20.74/14.34 tff(29767,plain,
% 20.74/14.34 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB181)) | (~v140(constB181)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB181)) | (~v140(constB181)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29768,plain,
% 20.74/14.34 (((~v140(constB181)) | (~v138(constB181))) <=> ((~v138(constB181)) | (~v140(constB181)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29769,plain,
% 20.74/14.34 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB181)) | (~v138(constB181)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB181)) | (~v140(constB181))))),
% 20.74/14.34 inference(monotonicity,[status(thm)],[29768])).
% 20.74/14.34 tff(29770,plain,
% 20.74/14.34 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB181)) | (~v138(constB181)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB181)) | (~v140(constB181)))),
% 20.74/14.34 inference(transitivity,[status(thm)],[29769, 29767])).
% 20.74/14.34 tff(29771,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB181)) | (~v138(constB181)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29772,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB181)) | (~v140(constB181))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29771, 29770])).
% 20.74/14.34 tff(29773,plain,
% 20.74/14.34 (~v138(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29772, 22419, 29766])).
% 20.74/14.34 tff(29774,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB181) | v142(constB181) | (~v135(constB181)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB181) | v142(constB181) | (~v135(constB181)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29775,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB181) | v142(constB181) | (~v135(constB181)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29776,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB181) | v142(constB181) | (~v135(constB181))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29775, 29774])).
% 20.74/14.34 tff(29777,plain,
% 20.74/14.34 (v142(constB181) | (~v135(constB181))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29776, 22436, 29773])).
% 20.74/14.34 tff(29778,plain,
% 20.74/14.34 (~v135(constB181)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29777, 29735])).
% 20.74/14.34 tff(29779,plain,
% 20.74/14.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB181, constB182)) | v135(constB181) | (~v137(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB181, constB182)) | v135(constB181) | (~v137(constB182)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29780,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB181, constB182)) | v135(constB181) | (~v137(constB182)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29781,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB181, constB182)) | v135(constB181) | (~v137(constB182))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29780, 29779])).
% 20.74/14.34 tff(29782,plain,
% 20.74/14.34 (v135(constB181) | (~v137(constB182))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29781, 22451, 21498])).
% 20.74/14.34 tff(29783,plain,
% 20.74/14.34 (~v137(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29782, 29778])).
% 20.74/14.34 tff(29784,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB182) | (~v138(constB182)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB182) | (~v138(constB182)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29785,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB182) | (~v138(constB182)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29786,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB182) | (~v138(constB182))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29785, 29784])).
% 20.74/14.34 tff(29787,plain,
% 20.74/14.34 (~v138(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29786, 22463, 29783])).
% 20.74/14.34 tff(29788,plain,
% 20.74/14.34 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB182)) | (~v141(constB182)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB182)) | (~v141(constB182)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29789,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB182)) | (~v141(constB182)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29790,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB182)) | (~v141(constB182))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29789, 29788])).
% 20.74/14.34 tff(29791,plain,
% 20.74/14.34 (~v141(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29790, 22474, 21518])).
% 20.74/14.34 tff(29792,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB182) | (~v144(constB182)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB182) | (~v144(constB182)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29793,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB182) | (~v144(constB182)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29794,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB182) | (~v144(constB182))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29793, 29792])).
% 20.74/14.34 tff(29795,plain,
% 20.74/14.34 (~v144(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29794, 22485, 29791])).
% 20.74/14.34 tff(29796,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB182) | (~v142(constB182)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB182) | (~v142(constB182)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29797,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB182) | (~v142(constB182)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29798,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB182) | (~v142(constB182))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29797, 29796])).
% 20.74/14.34 tff(29799,plain,
% 20.74/14.34 (~v142(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29798, 22360, 29795])).
% 20.74/14.34 tff(29800,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB182) | v142(constB182) | (~v135(constB182)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB182) | v142(constB182) | (~v135(constB182)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29801,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB182) | v142(constB182) | (~v135(constB182)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29802,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB182) | v142(constB182) | (~v135(constB182))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29801, 29800])).
% 20.74/14.34 tff(29803,plain,
% 20.74/14.34 (v138(constB182) | (~v135(constB182))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29802, 22436, 29799])).
% 20.74/14.34 tff(29804,plain,
% 20.74/14.34 (~v135(constB182)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29803, 29787])).
% 20.74/14.34 tff(29805,plain,
% 20.74/14.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB182, constB183)) | v135(constB182) | (~v137(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB182, constB183)) | v135(constB182) | (~v137(constB183)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29806,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB182, constB183)) | v135(constB182) | (~v137(constB183)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29807,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB182, constB183)) | v135(constB182) | (~v137(constB183))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29806, 29805])).
% 20.74/14.34 tff(29808,plain,
% 20.74/14.34 (v135(constB182) | (~v137(constB183))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29807, 22451, 21590])).
% 20.74/14.34 tff(29809,plain,
% 20.74/14.34 (~v137(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29808, 29804])).
% 20.74/14.34 tff(29810,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB183) | (~v153(constB183)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB183) | (~v153(constB183)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29811,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB183) | (~v153(constB183)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29812,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB183) | (~v153(constB183))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29811, 29810])).
% 20.74/14.34 tff(29813,plain,
% 20.74/14.34 (~v153(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29812, 22510, 29809])).
% 20.74/14.34 tff(29814,assumption,(v18(constB184)), introduced(assumption)).
% 20.74/14.34 tff(29815,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB184))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29816,plain,
% 20.74/14.34 ($false),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29815, 2627, 29814])).
% 20.74/14.34 tff(29817,plain,(~v18(constB184)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.34 tff(29818,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29819,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29820,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29819, 29818])).
% 20.74/14.34 tff(29821,plain,
% 20.74/14.34 (v22(constB184)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29820, 2640, 21749])).
% 20.74/14.34 tff(29822,plain,
% 20.74/14.34 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB184)) | (~v22(constB184)) | v18(constB184))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB184)) | (~v22(constB184)) | v18(constB184))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29823,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB184)) | (~v22(constB184)) | v18(constB184))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29824,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB184)) | (~v22(constB184)) | v18(constB184)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29823, 29822])).
% 20.74/14.34 tff(29825,plain,
% 20.74/14.34 ((~v19(constB184)) | v18(constB184)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29824, 2654, 29821])).
% 20.74/14.34 tff(29826,plain,
% 20.74/14.34 (~v19(constB184)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29825, 29817])).
% 20.74/14.34 tff(29827,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29828,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29829,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29828, 29827])).
% 20.74/14.34 tff(29830,plain,
% 20.74/14.34 (v13(constB184)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29829, 2669, 29826])).
% 20.74/14.34 tff(29831,plain,
% 20.74/14.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29832,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29833,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29832, 29831])).
% 20.74/14.34 tff(29834,plain,
% 20.74/14.34 ((~v13(constB184)) | v9(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29833, 2686, 21729])).
% 20.74/14.34 tff(29835,plain,
% 20.74/14.34 (v9(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29834, 29830])).
% 20.74/14.34 tff(29836,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v141(constB183))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB183) | (~v9(constB183)) | v141(constB183))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29837,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v141(constB183))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29838,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB183) | (~v9(constB183)) | v141(constB183)),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29837, 29836])).
% 20.74/14.34 tff(29839,plain,
% 20.74/14.34 ((~v9(constB183)) | v141(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29838, 22396, 21587])).
% 20.74/14.34 tff(29840,plain,
% 20.74/14.34 (v141(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29839, 29835])).
% 20.74/14.34 tff(29841,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB183) | (~v141(constB183)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB183) | (~v141(constB183)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29842,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB183) | (~v141(constB183)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29843,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB183) | (~v141(constB183))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29842, 29841])).
% 20.74/14.34 tff(29844,plain,
% 20.74/14.34 (v140(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29843, 22408, 29840])).
% 20.74/14.34 tff(29845,plain,
% 20.74/14.34 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB183)) | (~v155(constB183)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB183)) | (~v155(constB183)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29846,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB183)) | (~v155(constB183)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29847,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB183)) | (~v155(constB183))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29846, 29845])).
% 20.74/14.34 tff(29848,plain,
% 20.74/14.34 (~v155(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29847, 22552, 29844])).
% 20.74/14.34 tff(29849,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB183) | v155(constB183) | (~v150(constB183)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB183) | v155(constB183) | (~v150(constB183)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29850,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB183) | v155(constB183) | (~v150(constB183)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29851,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB183) | v155(constB183) | (~v150(constB183))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29850, 29849])).
% 20.74/14.34 tff(29852,plain,
% 20.74/14.34 (v153(constB183) | (~v150(constB183))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29851, 22566, 29848])).
% 20.74/14.34 tff(29853,plain,
% 20.74/14.34 (~v150(constB183)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29852, 29813])).
% 20.74/14.34 tff(29854,plain,
% 20.74/14.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB183, constB184)) | v150(constB183) | (~v152(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB183, constB184)) | v150(constB183) | (~v152(constB184)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29855,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB183, constB184)) | v150(constB183) | (~v152(constB184)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29856,plain,
% 20.74/14.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB183, constB184)) | v150(constB183) | (~v152(constB184))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29855, 29854])).
% 20.74/14.34 tff(29857,plain,
% 20.74/14.34 (v150(constB183) | (~v152(constB184))),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29856, 22581, 21729])).
% 20.74/14.34 tff(29858,plain,
% 20.74/14.34 (~v152(constB184)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29857, 29853])).
% 20.74/14.34 tff(29859,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB184) | (~v155(constB184)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB184) | (~v155(constB184)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29860,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB184) | (~v155(constB184)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29861,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB184) | (~v155(constB184))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29860, 29859])).
% 20.74/14.34 tff(29862,plain,
% 20.74/14.34 (~v155(constB184)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29861, 22593, 29858])).
% 20.74/14.34 tff(29863,plain,
% 20.74/14.34 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29864,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29865,plain,
% 20.74/14.34 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29864, 29863])).
% 20.74/14.34 tff(29866,plain,
% 20.74/14.34 (~v141(constB184)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29865, 22474, 21749])).
% 20.74/14.34 tff(29867,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB184) | (~v154(constB184)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB184) | (~v154(constB184)))),
% 20.74/14.34 inference(rewrite,[status(thm)],[])).
% 20.74/14.34 tff(29868,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB184) | (~v154(constB184)))),
% 20.74/14.34 inference(quant_inst,[status(thm)],[])).
% 20.74/14.34 tff(29869,plain,
% 20.74/14.34 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB184) | (~v154(constB184))),
% 20.74/14.34 inference(modus_ponens,[status(thm)],[29868, 29867])).
% 20.74/14.34 tff(29870,plain,
% 20.74/14.34 (~v154(constB184)),
% 20.74/14.34 inference(unit_resolution,[status(thm)],[29869, 22608, 29866])).
% 20.74/14.34 tff(29871,plain,
% 20.74/14.34 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB184) | (~v153(constB184)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB184) | (~v153(constB184)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29872,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB184) | (~v153(constB184)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29873,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB184) | (~v153(constB184))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29872, 29871])).
% 20.74/14.35 tff(29874,plain,
% 20.74/14.35 (~v153(constB184)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29873, 22619, 29870])).
% 20.74/14.35 tff(29875,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB184) | v155(constB184) | (~v150(constB184)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB184) | v155(constB184) | (~v150(constB184)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29876,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB184) | v155(constB184) | (~v150(constB184)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29877,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB184) | v155(constB184) | (~v150(constB184))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29876, 29875])).
% 20.74/14.35 tff(29878,plain,
% 20.74/14.35 (v155(constB184) | (~v150(constB184))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29877, 22566, 29874])).
% 20.74/14.35 tff(29879,plain,
% 20.74/14.35 (~v150(constB184)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29878, 29862])).
% 20.74/14.35 tff(29880,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB184, constB185)) | v150(constB184) | (~v152(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB184, constB185)) | v150(constB184) | (~v152(constB185)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29881,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB184, constB185)) | v150(constB184) | (~v152(constB185)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29882,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB184, constB185)) | v150(constB184) | (~v152(constB185))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29881, 29880])).
% 20.74/14.35 tff(29883,plain,
% 20.74/14.35 (v150(constB184) | (~v152(constB185))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29882, 22581, 21794])).
% 20.74/14.35 tff(29884,plain,
% 20.74/14.35 (~v152(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29883, 29879])).
% 20.74/14.35 tff(29885,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB185) | (~v164(constB185)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB185) | (~v164(constB185)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29886,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB185) | (~v164(constB185)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29887,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB185) | (~v164(constB185))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29886, 29885])).
% 20.74/14.35 tff(29888,plain,
% 20.74/14.35 (~v164(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29887, 22640, 29884])).
% 20.74/14.35 tff(29889,assumption,(v18(constB186)), introduced(assumption)).
% 20.74/14.35 tff(29890,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB186))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29891,plain,
% 20.74/14.35 ($false),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29890, 2627, 29889])).
% 20.74/14.35 tff(29892,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.35 tff(29893,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29894,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29895,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29894, 29893])).
% 20.74/14.35 tff(29896,plain,
% 20.74/14.35 (v22(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29895, 2640, 21943])).
% 20.74/14.35 tff(29897,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29898,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29899,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29898, 29897])).
% 20.74/14.35 tff(29900,plain,
% 20.74/14.35 ((~v19(constB186)) | v18(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29899, 2654, 29896])).
% 20.74/14.35 tff(29901,plain,
% 20.74/14.35 (~v19(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29900, 29892])).
% 20.74/14.35 tff(29902,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29903,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29904,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29903, 29902])).
% 20.74/14.35 tff(29905,plain,
% 20.74/14.35 (v13(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29904, 2669, 29901])).
% 20.74/14.35 tff(29906,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29907,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29908,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29907, 29906])).
% 20.74/14.35 tff(29909,plain,
% 20.74/14.35 ((~v13(constB186)) | v9(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29908, 2686, 21923])).
% 20.74/14.35 tff(29910,plain,
% 20.74/14.35 (v9(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29909, 29905])).
% 20.74/14.35 tff(29911,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29912,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29913,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29912, 29911])).
% 20.74/14.35 tff(29914,plain,
% 20.74/14.35 ((~v9(constB185)) | v141(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29913, 22396, 21791])).
% 20.74/14.35 tff(29915,plain,
% 20.74/14.35 (v141(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29914, 29910])).
% 20.74/14.35 tff(29916,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB185) | (~v141(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB185) | (~v141(constB185)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29917,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB185) | (~v141(constB185)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29918,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB185) | (~v141(constB185))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 20.74/14.35 tff(29919,plain,
% 20.74/14.35 (v140(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29918, 22408, 29915])).
% 20.74/14.35 tff(29920,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB185)) | (~v163(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB185)) | (~v163(constB185)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29921,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB185)) | (~v163(constB185)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29922,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB185)) | (~v163(constB185))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29921, 29920])).
% 20.74/14.35 tff(29923,plain,
% 20.74/14.35 (~v163(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29922, 22781, 29919])).
% 20.74/14.35 tff(29924,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB185)) | v164(constB185) | v163(constB185))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB185)) | v164(constB185) | v163(constB185))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29925,plain,
% 20.74/14.35 ((v164(constB185) | v163(constB185) | (~v160(constB185))) <=> ((~v160(constB185)) | v164(constB185) | v163(constB185))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29926,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB185) | v163(constB185) | (~v160(constB185)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB185)) | v164(constB185) | v163(constB185)))),
% 20.74/14.35 inference(monotonicity,[status(thm)],[29925])).
% 20.74/14.35 tff(29927,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB185) | v163(constB185) | (~v160(constB185)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB185)) | v164(constB185) | v163(constB185))),
% 20.74/14.35 inference(transitivity,[status(thm)],[29926, 29924])).
% 20.74/14.35 tff(29928,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB185) | v163(constB185) | (~v160(constB185)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29929,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB185)) | v164(constB185) | v163(constB185)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29928, 29927])).
% 20.74/14.35 tff(29930,plain,
% 20.74/14.35 ((~v160(constB185)) | v164(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29929, 22795, 29923])).
% 20.74/14.35 tff(29931,plain,
% 20.74/14.35 (~v160(constB185)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29930, 29888])).
% 20.74/14.35 tff(29932,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB185, constB186)) | v160(constB185) | (~v162(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB185, constB186)) | v160(constB185) | (~v162(constB186)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29933,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB185, constB186)) | v160(constB185) | (~v162(constB186)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29934,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB185, constB186)) | v160(constB185) | (~v162(constB186))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29933, 29932])).
% 20.74/14.35 tff(29935,plain,
% 20.74/14.35 (v160(constB185) | (~v162(constB186))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29934, 22813, 21923])).
% 20.74/14.35 tff(29936,plain,
% 20.74/14.35 (~v162(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29935, 29931])).
% 20.74/14.35 tff(29937,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB186) | (~v163(constB186)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB186) | (~v163(constB186)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29938,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB186) | (~v163(constB186)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29939,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB186) | (~v163(constB186))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29938, 29937])).
% 20.74/14.35 tff(29940,plain,
% 20.74/14.35 (~v163(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29939, 22825, 29936])).
% 20.74/14.35 tff(29941,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29942,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29943,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29942, 29941])).
% 20.74/14.35 tff(29944,plain,
% 20.74/14.35 (~v141(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29943, 22474, 21943])).
% 20.74/14.35 tff(29945,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB186) | (~v154(constB186)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB186) | (~v154(constB186)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29946,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB186) | (~v154(constB186)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29947,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB186) | (~v154(constB186))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29946, 29945])).
% 20.74/14.35 tff(29948,plain,
% 20.74/14.35 (~v154(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29947, 22608, 29944])).
% 20.74/14.35 tff(29949,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB186) | (~v164(constB186)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB186) | (~v164(constB186)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29950,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB186) | (~v164(constB186)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29951,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB186) | (~v164(constB186))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29950, 29949])).
% 20.74/14.35 tff(29952,plain,
% 20.74/14.35 (~v164(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29951, 22836, 29948])).
% 20.74/14.35 tff(29953,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB186)) | v164(constB186) | v163(constB186))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB186)) | v164(constB186) | v163(constB186))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29954,plain,
% 20.74/14.35 ((v164(constB186) | v163(constB186) | (~v160(constB186))) <=> ((~v160(constB186)) | v164(constB186) | v163(constB186))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29955,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB186) | v163(constB186) | (~v160(constB186)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB186)) | v164(constB186) | v163(constB186)))),
% 20.74/14.35 inference(monotonicity,[status(thm)],[29954])).
% 20.74/14.35 tff(29956,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB186) | v163(constB186) | (~v160(constB186)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB186)) | v164(constB186) | v163(constB186))),
% 20.74/14.35 inference(transitivity,[status(thm)],[29955, 29953])).
% 20.74/14.35 tff(29957,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB186) | v163(constB186) | (~v160(constB186)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29958,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB186)) | v164(constB186) | v163(constB186)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29957, 29956])).
% 20.74/14.35 tff(29959,plain,
% 20.74/14.35 ((~v160(constB186)) | v163(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29958, 22795, 29952])).
% 20.74/14.35 tff(29960,plain,
% 20.74/14.35 (~v160(constB186)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29959, 29940])).
% 20.74/14.35 tff(29961,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB186, constB187)) | v160(constB186) | (~v162(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB186, constB187)) | v160(constB186) | (~v162(constB187)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29962,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB186, constB187)) | v160(constB186) | (~v162(constB187)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29963,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB186, constB187)) | v160(constB186) | (~v162(constB187))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29962, 29961])).
% 20.74/14.35 tff(29964,plain,
% 20.74/14.35 (v160(constB186) | (~v162(constB187))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29963, 22813, 21988])).
% 20.74/14.35 tff(29965,plain,
% 20.74/14.35 (~v162(constB187)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29964, 29960])).
% 20.74/14.35 tff(29966,plain,
% 20.74/14.35 ($false),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29965, 29727])).
% 20.74/14.35 tff(29967,plain,(~(constB187 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.35 tff(29968,assumption,(constB43 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.35 tff(29969,plain,
% 20.74/14.35 (v162(constB43) <=> v162(sK0_VarCurr)),
% 20.74/14.35 inference(monotonicity,[status(thm)],[29968])).
% 20.74/14.35 tff(29970,plain,
% 20.74/14.35 (v162(sK0_VarCurr) <=> v162(constB43)),
% 20.74/14.35 inference(symmetry,[status(thm)],[29969])).
% 20.74/14.35 tff(29971,plain,
% 20.74/14.35 (v162(constB43)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[22337, 29970])).
% 20.74/14.35 tff(29972,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB37) | (~v144(constB37)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB37) | (~v144(constB37)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29973,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB37) | (~v144(constB37)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29974,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB37) | (~v144(constB37))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29973, 29972])).
% 20.74/14.35 tff(29975,plain,
% 20.74/14.35 (~v144(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29974, 22349, 4472])).
% 20.74/14.35 tff(29976,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB37) | (~v142(constB37)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB37) | (~v142(constB37)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29977,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB37) | (~v142(constB37)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29978,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB37) | (~v142(constB37))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29977, 29976])).
% 20.74/14.35 tff(29979,plain,
% 20.74/14.35 (~v142(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29978, 22360, 29975])).
% 20.74/14.35 tff(29980,assumption,(v18(constB38)), introduced(assumption)).
% 20.74/14.35 tff(29981,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB38))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29982,plain,
% 20.74/14.35 ($false),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29981, 2627, 29980])).
% 20.74/14.35 tff(29983,plain,(~v18(constB38)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.35 tff(29984,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29985,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29986,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29985, 29984])).
% 20.74/14.35 tff(29987,plain,
% 20.74/14.35 (v22(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29986, 2640, 4575])).
% 20.74/14.35 tff(29988,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB38)) | (~v22(constB38)) | v18(constB38))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB38)) | (~v22(constB38)) | v18(constB38))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29989,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB38)) | (~v22(constB38)) | v18(constB38))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29990,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB38)) | (~v22(constB38)) | v18(constB38)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29989, 29988])).
% 20.74/14.35 tff(29991,plain,
% 20.74/14.35 ((~v19(constB38)) | v18(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29990, 2654, 29987])).
% 20.74/14.35 tff(29992,plain,
% 20.74/14.35 (~v19(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29991, 29983])).
% 20.74/14.35 tff(29993,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29994,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29995,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29994, 29993])).
% 20.74/14.35 tff(29996,plain,
% 20.74/14.35 (v13(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29995, 2669, 29992])).
% 20.74/14.35 tff(29997,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(29998,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(29999,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB37, constB38)) | (~v13(constB38)) | v9(constB37)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[29998, 29997])).
% 20.74/14.35 tff(30000,plain,
% 20.74/14.35 ((~v13(constB38)) | v9(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[29999, 2686, 4490])).
% 20.74/14.35 tff(30001,plain,
% 20.74/14.35 (v9(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30000, 29996])).
% 20.74/14.35 tff(30002,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v141(constB37))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB37) | (~v9(constB37)) | v141(constB37))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30003,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v141(constB37))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30004,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB37) | (~v9(constB37)) | v141(constB37)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30003, 30002])).
% 20.74/14.35 tff(30005,plain,
% 20.74/14.35 ((~v9(constB37)) | v141(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30004, 22396, 4393])).
% 20.74/14.35 tff(30006,plain,
% 20.74/14.35 (v141(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30005, 30001])).
% 20.74/14.35 tff(30007,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB37) | (~v141(constB37)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB37) | (~v141(constB37)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30008,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB37) | (~v141(constB37)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30009,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB37) | (~v141(constB37))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30008, 30007])).
% 20.74/14.35 tff(30010,plain,
% 20.74/14.35 (v140(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30009, 22408, 30006])).
% 20.74/14.35 tff(30011,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB37)) | (~v140(constB37)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB37)) | (~v140(constB37)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30012,plain,
% 20.74/14.35 (((~v140(constB37)) | (~v138(constB37))) <=> ((~v138(constB37)) | (~v140(constB37)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30013,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB37)) | (~v138(constB37)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB37)) | (~v140(constB37))))),
% 20.74/14.35 inference(monotonicity,[status(thm)],[30012])).
% 20.74/14.35 tff(30014,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB37)) | (~v138(constB37)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB37)) | (~v140(constB37)))),
% 20.74/14.35 inference(transitivity,[status(thm)],[30013, 30011])).
% 20.74/14.35 tff(30015,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB37)) | (~v138(constB37)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30016,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB37)) | (~v140(constB37))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30015, 30014])).
% 20.74/14.35 tff(30017,plain,
% 20.74/14.35 (~v138(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30016, 22419, 30010])).
% 20.74/14.35 tff(30018,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB37) | v142(constB37) | (~v135(constB37)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB37) | v142(constB37) | (~v135(constB37)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30019,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB37) | v142(constB37) | (~v135(constB37)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30020,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB37) | v142(constB37) | (~v135(constB37))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30019, 30018])).
% 20.74/14.35 tff(30021,plain,
% 20.74/14.35 (v142(constB37) | (~v135(constB37))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30020, 22436, 30017])).
% 20.74/14.35 tff(30022,plain,
% 20.74/14.35 (~v135(constB37)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30021, 29979])).
% 20.74/14.35 tff(30023,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB37, constB38)) | v135(constB37) | (~v137(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB37, constB38)) | v135(constB37) | (~v137(constB38)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30024,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB37, constB38)) | v135(constB37) | (~v137(constB38)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30025,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB37, constB38)) | v135(constB37) | (~v137(constB38))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30024, 30023])).
% 20.74/14.35 tff(30026,plain,
% 20.74/14.35 (v135(constB37) | (~v137(constB38))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30025, 22451, 4490])).
% 20.74/14.35 tff(30027,plain,
% 20.74/14.35 (~v137(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30026, 30022])).
% 20.74/14.35 tff(30028,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB38) | (~v138(constB38)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB38) | (~v138(constB38)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30029,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB38) | (~v138(constB38)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30030,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB38) | (~v138(constB38))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30029, 30028])).
% 20.74/14.35 tff(30031,plain,
% 20.74/14.35 (~v138(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30030, 22463, 30027])).
% 20.74/14.35 tff(30032,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB38)) | (~v141(constB38)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB38)) | (~v141(constB38)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30033,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB38)) | (~v141(constB38)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30034,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB38)) | (~v141(constB38))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30033, 30032])).
% 20.74/14.35 tff(30035,plain,
% 20.74/14.35 (~v141(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30034, 22474, 4575])).
% 20.74/14.35 tff(30036,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB38) | (~v144(constB38)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB38) | (~v144(constB38)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30037,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB38) | (~v144(constB38)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30038,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB38) | (~v144(constB38))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30037, 30036])).
% 20.74/14.35 tff(30039,plain,
% 20.74/14.35 (~v144(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30038, 22485, 30035])).
% 20.74/14.35 tff(30040,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB38) | (~v142(constB38)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB38) | (~v142(constB38)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30041,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB38) | (~v142(constB38)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30042,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB38) | (~v142(constB38))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30041, 30040])).
% 20.74/14.35 tff(30043,plain,
% 20.74/14.35 (~v142(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30042, 22360, 30039])).
% 20.74/14.35 tff(30044,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB38) | v142(constB38) | (~v135(constB38)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB38) | v142(constB38) | (~v135(constB38)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30045,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB38) | v142(constB38) | (~v135(constB38)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30046,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB38) | v142(constB38) | (~v135(constB38))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30045, 30044])).
% 20.74/14.35 tff(30047,plain,
% 20.74/14.35 (v138(constB38) | (~v135(constB38))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30046, 22436, 30043])).
% 20.74/14.35 tff(30048,plain,
% 20.74/14.35 (~v135(constB38)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30047, 30031])).
% 20.74/14.35 tff(30049,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB38, constB39)) | v135(constB38) | (~v137(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB38, constB39)) | v135(constB38) | (~v137(constB39)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30050,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB38, constB39)) | v135(constB38) | (~v137(constB39)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30051,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB38, constB39)) | v135(constB38) | (~v137(constB39))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30050, 30049])).
% 20.74/14.35 tff(30052,plain,
% 20.74/14.35 (v135(constB38) | (~v137(constB39))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30051, 22451, 4603])).
% 20.74/14.35 tff(30053,plain,
% 20.74/14.35 (~v137(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30052, 30048])).
% 20.74/14.35 tff(30054,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB39) | (~v153(constB39)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB39) | (~v153(constB39)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30055,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB39) | (~v153(constB39)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30056,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB39) | (~v153(constB39))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30055, 30054])).
% 20.74/14.35 tff(30057,plain,
% 20.74/14.35 (~v153(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30056, 22510, 30053])).
% 20.74/14.35 tff(30058,assumption,(v18(constB40)), introduced(assumption)).
% 20.74/14.35 tff(30059,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB40))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30060,plain,
% 20.74/14.35 ($false),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30059, 2627, 30058])).
% 20.74/14.35 tff(30061,plain,(~v18(constB40)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.35 tff(30062,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30063,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30064,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30063, 30062])).
% 20.74/14.35 tff(30065,plain,
% 20.74/14.35 (v22(constB40)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30064, 2640, 4759])).
% 20.74/14.35 tff(30066,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB40)) | (~v22(constB40)) | v18(constB40))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB40)) | (~v22(constB40)) | v18(constB40))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30067,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB40)) | (~v22(constB40)) | v18(constB40))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30068,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB40)) | (~v22(constB40)) | v18(constB40)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30067, 30066])).
% 20.74/14.35 tff(30069,plain,
% 20.74/14.35 ((~v19(constB40)) | v18(constB40)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30068, 2654, 30065])).
% 20.74/14.35 tff(30070,plain,
% 20.74/14.35 (~v19(constB40)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30069, 30061])).
% 20.74/14.35 tff(30071,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30072,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30073,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30072, 30071])).
% 20.74/14.35 tff(30074,plain,
% 20.74/14.35 (v13(constB40)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30073, 2669, 30070])).
% 20.74/14.35 tff(30075,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30076,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30077,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB39, constB40)) | (~v13(constB40)) | v9(constB39)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 20.74/14.35 tff(30078,plain,
% 20.74/14.35 ((~v13(constB40)) | v9(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30077, 2686, 4715])).
% 20.74/14.35 tff(30079,plain,
% 20.74/14.35 (v9(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30078, 30074])).
% 20.74/14.35 tff(30080,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v141(constB39))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB39) | (~v9(constB39)) | v141(constB39))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30081,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v141(constB39))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30082,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB39) | (~v9(constB39)) | v141(constB39)),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30081, 30080])).
% 20.74/14.35 tff(30083,plain,
% 20.74/14.35 ((~v9(constB39)) | v141(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30082, 22396, 4600])).
% 20.74/14.35 tff(30084,plain,
% 20.74/14.35 (v141(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30083, 30079])).
% 20.74/14.35 tff(30085,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB39) | (~v141(constB39)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB39) | (~v141(constB39)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30086,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB39) | (~v141(constB39)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30087,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB39) | (~v141(constB39))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30086, 30085])).
% 20.74/14.35 tff(30088,plain,
% 20.74/14.35 (v140(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30087, 22408, 30084])).
% 20.74/14.35 tff(30089,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB39)) | (~v155(constB39)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB39)) | (~v155(constB39)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30090,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB39)) | (~v155(constB39)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30091,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB39)) | (~v155(constB39))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30090, 30089])).
% 20.74/14.35 tff(30092,plain,
% 20.74/14.35 (~v155(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30091, 22552, 30088])).
% 20.74/14.35 tff(30093,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB39) | v155(constB39) | (~v150(constB39)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB39) | v155(constB39) | (~v150(constB39)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30094,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB39) | v155(constB39) | (~v150(constB39)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30095,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB39) | v155(constB39) | (~v150(constB39))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30094, 30093])).
% 20.74/14.35 tff(30096,plain,
% 20.74/14.35 (v153(constB39) | (~v150(constB39))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30095, 22566, 30092])).
% 20.74/14.35 tff(30097,plain,
% 20.74/14.35 (~v150(constB39)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30096, 30057])).
% 20.74/14.35 tff(30098,plain,
% 20.74/14.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB39, constB40)) | v150(constB39) | (~v152(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB39, constB40)) | v150(constB39) | (~v152(constB40)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30099,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB39, constB40)) | v150(constB39) | (~v152(constB40)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30100,plain,
% 20.74/14.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB39, constB40)) | v150(constB39) | (~v152(constB40))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30099, 30098])).
% 20.74/14.35 tff(30101,plain,
% 20.74/14.35 (v150(constB39) | (~v152(constB40))),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30100, 22581, 4715])).
% 20.74/14.35 tff(30102,plain,
% 20.74/14.35 (~v152(constB40)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30101, 30097])).
% 20.74/14.35 tff(30103,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB40) | (~v155(constB40)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB40) | (~v155(constB40)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30104,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB40) | (~v155(constB40)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30105,plain,
% 20.74/14.35 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB40) | (~v155(constB40))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30104, 30103])).
% 20.74/14.35 tff(30106,plain,
% 20.74/14.35 (~v155(constB40)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30105, 22593, 30102])).
% 20.74/14.35 tff(30107,plain,
% 20.74/14.35 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB40)) | (~v141(constB40)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB40)) | (~v141(constB40)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.35 tff(30108,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB40)) | (~v141(constB40)))),
% 20.74/14.35 inference(quant_inst,[status(thm)],[])).
% 20.74/14.35 tff(30109,plain,
% 20.74/14.35 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB40)) | (~v141(constB40))),
% 20.74/14.35 inference(modus_ponens,[status(thm)],[30108, 30107])).
% 20.74/14.35 tff(30110,plain,
% 20.74/14.35 (~v141(constB40)),
% 20.74/14.35 inference(unit_resolution,[status(thm)],[30109, 22474, 4759])).
% 20.74/14.35 tff(30111,plain,
% 20.74/14.35 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB40) | (~v154(constB40)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB40) | (~v154(constB40)))),
% 20.74/14.35 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30112,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB40) | (~v154(constB40)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30113,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB40) | (~v154(constB40))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30112, 30111])).
% 20.74/14.36 tff(30114,plain,
% 20.74/14.36 (~v154(constB40)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30113, 22608, 30110])).
% 20.74/14.36 tff(30115,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB40) | (~v153(constB40)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB40) | (~v153(constB40)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30116,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB40) | (~v153(constB40)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30117,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB40) | (~v153(constB40))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30116, 30115])).
% 20.74/14.36 tff(30118,plain,
% 20.74/14.36 (~v153(constB40)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30117, 22619, 30114])).
% 20.74/14.36 tff(30119,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB40) | v155(constB40) | (~v150(constB40)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB40) | v155(constB40) | (~v150(constB40)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30120,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB40) | v155(constB40) | (~v150(constB40)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30121,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB40) | v155(constB40) | (~v150(constB40))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30120, 30119])).
% 20.74/14.36 tff(30122,plain,
% 20.74/14.36 (v155(constB40) | (~v150(constB40))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30121, 22566, 30118])).
% 20.74/14.36 tff(30123,plain,
% 20.74/14.36 (~v150(constB40)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30122, 30106])).
% 20.74/14.36 tff(30124,plain,
% 20.74/14.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB40, constB41)) | v150(constB40) | (~v152(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB40, constB41)) | v150(constB40) | (~v152(constB41)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30125,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB40, constB41)) | v150(constB40) | (~v152(constB41)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30126,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB40, constB41)) | v150(constB40) | (~v152(constB41))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30125, 30124])).
% 20.74/14.36 tff(30127,plain,
% 20.74/14.36 (v150(constB40) | (~v152(constB41))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30126, 22581, 4841])).
% 20.74/14.36 tff(30128,plain,
% 20.74/14.36 (~v152(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30127, 30123])).
% 20.74/14.36 tff(30129,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB41) | (~v164(constB41)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB41) | (~v164(constB41)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30130,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB41) | (~v164(constB41)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30131,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB41) | (~v164(constB41))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30130, 30129])).
% 20.74/14.36 tff(30132,plain,
% 20.74/14.36 (~v164(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30131, 22640, 30128])).
% 20.74/14.36 tff(30133,assumption,(v18(constB42)), introduced(assumption)).
% 20.74/14.36 tff(30134,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB42))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30135,plain,
% 20.74/14.36 ($false),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30134, 2627, 30133])).
% 20.74/14.36 tff(30136,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.36 tff(30137,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30138,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30139,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30138, 30137])).
% 20.74/14.36 tff(30140,plain,
% 20.74/14.36 (v22(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30139, 2640, 5011])).
% 20.74/14.36 tff(30141,plain,
% 20.74/14.36 (((~![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))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30142,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB42)) | (~v22(constB42)) | v18(constB42))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30143,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB42)) | (~v22(constB42)) | v18(constB42)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 20.74/14.36 tff(30144,plain,
% 20.74/14.36 ((~v19(constB42)) | v18(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30143, 2654, 30140])).
% 20.74/14.36 tff(30145,plain,
% 20.74/14.36 (~v19(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30144, 30136])).
% 20.74/14.36 tff(30146,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30147,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30148,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30147, 30146])).
% 20.74/14.36 tff(30149,plain,
% 20.74/14.36 (v13(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30148, 2669, 30145])).
% 20.74/14.36 tff(30150,plain,
% 20.74/14.36 (((~![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))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30151,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30152,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB41, constB42)) | (~v13(constB42)) | v9(constB41)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30151, 30150])).
% 20.74/14.36 tff(30153,plain,
% 20.74/14.36 ((~v13(constB42)) | v9(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30152, 2686, 4926])).
% 20.74/14.36 tff(30154,plain,
% 20.74/14.36 (v9(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30153, 30149])).
% 20.74/14.36 tff(30155,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v141(constB41))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB41) | (~v9(constB41)) | v141(constB41))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30156,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v141(constB41))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30157,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB41) | (~v9(constB41)) | v141(constB41)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30156, 30155])).
% 20.74/14.36 tff(30158,plain,
% 20.74/14.36 ((~v9(constB41)) | v141(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30157, 22396, 4838])).
% 20.74/14.36 tff(30159,plain,
% 20.74/14.36 (v141(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30158, 30154])).
% 20.74/14.36 tff(30160,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB41) | (~v141(constB41)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB41) | (~v141(constB41)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30161,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB41) | (~v141(constB41)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30162,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB41) | (~v141(constB41))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30161, 30160])).
% 20.74/14.36 tff(30163,plain,
% 20.74/14.36 (v140(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30162, 22408, 30159])).
% 20.74/14.36 tff(30164,plain,
% 20.74/14.36 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB41)) | (~v163(constB41)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB41)) | (~v163(constB41)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30165,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB41)) | (~v163(constB41)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30166,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB41)) | (~v163(constB41))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30165, 30164])).
% 20.74/14.36 tff(30167,plain,
% 20.74/14.36 (~v163(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30166, 22781, 30163])).
% 20.74/14.36 tff(30168,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB41)) | v164(constB41) | v163(constB41))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB41)) | v164(constB41) | v163(constB41))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30169,plain,
% 20.74/14.36 ((v164(constB41) | v163(constB41) | (~v160(constB41))) <=> ((~v160(constB41)) | v164(constB41) | v163(constB41))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30170,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB41) | v163(constB41) | (~v160(constB41)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB41)) | v164(constB41) | v163(constB41)))),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30169])).
% 20.74/14.36 tff(30171,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB41) | v163(constB41) | (~v160(constB41)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB41)) | v164(constB41) | v163(constB41))),
% 20.74/14.36 inference(transitivity,[status(thm)],[30170, 30168])).
% 20.74/14.36 tff(30172,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB41) | v163(constB41) | (~v160(constB41)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30173,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB41)) | v164(constB41) | v163(constB41)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30172, 30171])).
% 20.74/14.36 tff(30174,plain,
% 20.74/14.36 ((~v160(constB41)) | v164(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30173, 22795, 30167])).
% 20.74/14.36 tff(30175,plain,
% 20.74/14.36 (~v160(constB41)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30174, 30132])).
% 20.74/14.36 tff(30176,plain,
% 20.74/14.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB41, constB42)) | v160(constB41) | (~v162(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB41, constB42)) | v160(constB41) | (~v162(constB42)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30177,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB41, constB42)) | v160(constB41) | (~v162(constB42)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30178,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB41, constB42)) | v160(constB41) | (~v162(constB42))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 20.74/14.36 tff(30179,plain,
% 20.74/14.36 (v160(constB41) | (~v162(constB42))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30178, 22813, 4926])).
% 20.74/14.36 tff(30180,plain,
% 20.74/14.36 (~v162(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30179, 30175])).
% 20.74/14.36 tff(30181,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB42) | (~v163(constB42)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB42) | (~v163(constB42)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30182,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB42) | (~v163(constB42)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30183,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB42) | (~v163(constB42))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30182, 30181])).
% 20.74/14.36 tff(30184,plain,
% 20.74/14.36 (~v163(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30183, 22825, 30180])).
% 20.74/14.36 tff(30185,plain,
% 20.74/14.36 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB42)) | (~v141(constB42)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB42)) | (~v141(constB42)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30186,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB42)) | (~v141(constB42)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30187,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB42)) | (~v141(constB42))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30186, 30185])).
% 20.74/14.36 tff(30188,plain,
% 20.74/14.36 (~v141(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30187, 22474, 5011])).
% 20.74/14.36 tff(30189,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB42) | (~v154(constB42)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB42) | (~v154(constB42)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30190,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB42) | (~v154(constB42)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30191,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB42) | (~v154(constB42))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30190, 30189])).
% 20.74/14.36 tff(30192,plain,
% 20.74/14.36 (~v154(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30191, 22608, 30188])).
% 20.74/14.36 tff(30193,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB42) | (~v164(constB42)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB42) | (~v164(constB42)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30194,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB42) | (~v164(constB42)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30195,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB42) | (~v164(constB42))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30194, 30193])).
% 20.74/14.36 tff(30196,plain,
% 20.74/14.36 (~v164(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30195, 22836, 30192])).
% 20.74/14.36 tff(30197,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB42)) | v164(constB42) | v163(constB42))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB42)) | v164(constB42) | v163(constB42))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30198,plain,
% 20.74/14.36 ((v164(constB42) | v163(constB42) | (~v160(constB42))) <=> ((~v160(constB42)) | v164(constB42) | v163(constB42))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30199,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB42) | v163(constB42) | (~v160(constB42)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB42)) | v164(constB42) | v163(constB42)))),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30198])).
% 20.74/14.36 tff(30200,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB42) | v163(constB42) | (~v160(constB42)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB42)) | v164(constB42) | v163(constB42))),
% 20.74/14.36 inference(transitivity,[status(thm)],[30199, 30197])).
% 20.74/14.36 tff(30201,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB42) | v163(constB42) | (~v160(constB42)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30202,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB42)) | v164(constB42) | v163(constB42)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 20.74/14.36 tff(30203,plain,
% 20.74/14.36 ((~v160(constB42)) | v163(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30202, 22795, 30196])).
% 20.74/14.36 tff(30204,plain,
% 20.74/14.36 (~v160(constB42)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30203, 30184])).
% 20.74/14.36 tff(30205,plain,
% 20.74/14.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB42, constB43)) | v160(constB42) | (~v162(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB42, constB43)) | v160(constB42) | (~v162(constB43)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30206,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB42, constB43)) | v160(constB42) | (~v162(constB43)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30207,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB42, constB43)) | v160(constB42) | (~v162(constB43))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30206, 30205])).
% 20.74/14.36 tff(30208,plain,
% 20.74/14.36 (v160(constB42) | (~v162(constB43))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30207, 22813, 5167])).
% 20.74/14.36 tff(30209,plain,
% 20.74/14.36 (~v162(constB43)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30208, 30204])).
% 20.74/14.36 tff(30210,plain,
% 20.74/14.36 ($false),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30209, 29971])).
% 20.74/14.36 tff(30211,plain,(~(constB43 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.36 tff(30212,assumption,(constB178 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.36 tff(30213,plain,
% 20.74/14.36 (v1(constB178) <=> v1(sK0_VarCurr)),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30212])).
% 20.74/14.36 tff(30214,plain,
% 20.74/14.36 (v1(sK0_VarCurr) <=> v1(constB178)),
% 20.74/14.36 inference(symmetry,[status(thm)],[30213])).
% 20.74/14.36 tff(30215,plain,
% 20.74/14.36 ((~v1(sK0_VarCurr)) <=> (~v1(constB178))),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30214])).
% 20.74/14.36 tff(30216,plain,
% 20.74/14.36 (~v1(constB178)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[23510, 30215])).
% 20.74/14.36 tff(30217,plain,
% 20.74/14.36 ($false),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[21127, 30216])).
% 20.74/14.36 tff(30218,plain,(~(constB178 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.36 tff(30219,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.36 tff(30220,plain,
% 20.74/14.36 (v1(constB126) <=> v1(sK0_VarCurr)),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30219])).
% 20.74/14.36 tff(30221,plain,
% 20.74/14.36 (v1(sK0_VarCurr) <=> v1(constB126)),
% 20.74/14.36 inference(symmetry,[status(thm)],[30220])).
% 20.74/14.36 tff(30222,plain,
% 20.74/14.36 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30221])).
% 20.74/14.36 tff(30223,plain,
% 20.74/14.36 (~v1(constB126)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[23510, 30222])).
% 20.74/14.36 tff(30224,plain,
% 20.74/14.36 ($false),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[15758, 30223])).
% 20.74/14.36 tff(30225,plain,(~(constB126 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.36 tff(30226,assumption,(constB16 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.36 tff(30227,plain,
% 20.74/14.36 (v1(constB16) <=> v1(sK0_VarCurr)),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30226])).
% 20.74/14.36 tff(30228,plain,
% 20.74/14.36 (v1(sK0_VarCurr) <=> v1(constB16)),
% 20.74/14.36 inference(symmetry,[status(thm)],[30227])).
% 20.74/14.36 tff(30229,plain,
% 20.74/14.36 ((~v1(sK0_VarCurr)) <=> (~v1(constB16))),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30228])).
% 20.74/14.36 tff(30230,plain,
% 20.74/14.36 (~v1(constB16)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[23510, 30229])).
% 20.74/14.36 tff(30231,plain,
% 20.74/14.36 ($false),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[2251, 30230])).
% 20.74/14.36 tff(30232,plain,(~(constB16 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.36 tff(30233,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.36 tff(30234,plain,
% 20.74/14.36 (v162(constB67) <=> v162(sK0_VarCurr)),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30233])).
% 20.74/14.36 tff(30235,plain,
% 20.74/14.36 (v162(sK0_VarCurr) <=> v162(constB67)),
% 20.74/14.36 inference(symmetry,[status(thm)],[30234])).
% 20.74/14.36 tff(30236,plain,
% 20.74/14.36 (v162(constB67)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[22337, 30235])).
% 20.74/14.36 tff(30237,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB61) | (~v144(constB61)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB61) | (~v144(constB61)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30238,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB61) | (~v144(constB61)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30239,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB61) | (~v144(constB61))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30238, 30237])).
% 20.74/14.36 tff(30240,plain,
% 20.74/14.36 (~v144(constB61)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30239, 22349, 7059])).
% 20.74/14.36 tff(30241,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB61) | (~v142(constB61)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30242,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB61) | (~v142(constB61)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30243,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB61) | (~v142(constB61))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30242, 30241])).
% 20.74/14.36 tff(30244,plain,
% 20.74/14.36 (~v142(constB61)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30243, 22360, 30240])).
% 20.74/14.36 tff(30245,plain,
% 20.74/14.36 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB61)) | (~v140(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30246,plain,
% 20.74/14.36 (((~v140(constB61)) | (~v138(constB61))) <=> ((~v138(constB61)) | (~v140(constB61)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30247,plain,
% 20.74/14.36 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB61)) | (~v140(constB61))))),
% 20.74/14.36 inference(monotonicity,[status(thm)],[30246])).
% 20.74/14.36 tff(30248,plain,
% 20.74/14.36 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61)))),
% 20.74/14.36 inference(transitivity,[status(thm)],[30247, 30245])).
% 20.74/14.36 tff(30249,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30250,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30249, 30248])).
% 20.74/14.36 tff(30251,plain,
% 20.74/14.36 (~v138(constB61)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30250, 22419, 26117])).
% 20.74/14.36 tff(30252,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB61) | v142(constB61) | (~v135(constB61)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB61) | v142(constB61) | (~v135(constB61)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30253,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB61) | v142(constB61) | (~v135(constB61)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30254,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB61) | v142(constB61) | (~v135(constB61))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30253, 30252])).
% 20.74/14.36 tff(30255,plain,
% 20.74/14.36 (v142(constB61) | (~v135(constB61))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30254, 22436, 30251])).
% 20.74/14.36 tff(30256,plain,
% 20.74/14.36 (~v135(constB61)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30255, 30244])).
% 20.74/14.36 tff(30257,plain,
% 20.74/14.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30258,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30259,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30258, 30257])).
% 20.74/14.36 tff(30260,plain,
% 20.74/14.36 (v135(constB61) | (~v137(constB62))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30259, 22451, 7001])).
% 20.74/14.36 tff(30261,plain,
% 20.74/14.36 (~v137(constB62)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30260, 30256])).
% 20.74/14.36 tff(30262,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB62) | (~v138(constB62)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB62) | (~v138(constB62)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30263,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB62) | (~v138(constB62)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30264,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB62) | (~v138(constB62))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30263, 30262])).
% 20.74/14.36 tff(30265,plain,
% 20.74/14.36 (~v138(constB62)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30264, 22463, 30261])).
% 20.74/14.36 tff(30266,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB62) | (~v144(constB62)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB62) | (~v144(constB62)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30267,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB62) | (~v144(constB62)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30268,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB62) | (~v144(constB62))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30267, 30266])).
% 20.74/14.36 tff(30269,plain,
% 20.74/14.36 (~v144(constB62)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30268, 22485, 26142])).
% 20.74/14.36 tff(30270,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB62) | (~v142(constB62)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB62) | (~v142(constB62)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30271,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB62) | (~v142(constB62)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30272,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB62) | (~v142(constB62))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30271, 30270])).
% 20.74/14.36 tff(30273,plain,
% 20.74/14.36 (~v142(constB62)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30272, 22360, 30269])).
% 20.74/14.36 tff(30274,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB62) | v142(constB62) | (~v135(constB62)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB62) | v142(constB62) | (~v135(constB62)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30275,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB62) | v142(constB62) | (~v135(constB62)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30276,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB62) | v142(constB62) | (~v135(constB62))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30275, 30274])).
% 20.74/14.36 tff(30277,plain,
% 20.74/14.36 (v138(constB62) | (~v135(constB62))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30276, 22436, 30273])).
% 20.74/14.36 tff(30278,plain,
% 20.74/14.36 (~v135(constB62)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30277, 30265])).
% 20.74/14.36 tff(30279,plain,
% 20.74/14.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30280,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30281,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30280, 30279])).
% 20.74/14.36 tff(30282,plain,
% 20.74/14.36 (v135(constB62) | (~v137(constB63))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30281, 22451, 7093])).
% 20.74/14.36 tff(30283,plain,
% 20.74/14.36 (~v137(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30282, 30278])).
% 20.74/14.36 tff(30284,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB63) | (~v153(constB63)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB63) | (~v153(constB63)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30285,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB63) | (~v153(constB63)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30286,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB63) | (~v153(constB63))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30285, 30284])).
% 20.74/14.36 tff(30287,plain,
% 20.74/14.36 (~v153(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30286, 22510, 30283])).
% 20.74/14.36 tff(30288,assumption,(v18(constB64)), introduced(assumption)).
% 20.74/14.36 tff(30289,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB64))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30290,plain,
% 20.74/14.36 ($false),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30289, 2627, 30288])).
% 20.74/14.36 tff(30291,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.36 tff(30292,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30293,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30294,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30293, 30292])).
% 20.74/14.36 tff(30295,plain,
% 20.74/14.36 (v22(constB64)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30294, 2640, 7252])).
% 20.74/14.36 tff(30296,plain,
% 20.74/14.36 (((~![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))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30297,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30298,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30297, 30296])).
% 20.74/14.36 tff(30299,plain,
% 20.74/14.36 ((~v19(constB64)) | v18(constB64)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30298, 2654, 30295])).
% 20.74/14.36 tff(30300,plain,
% 20.74/14.36 (~v19(constB64)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30299, 30291])).
% 20.74/14.36 tff(30301,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30302,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30303,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30302, 30301])).
% 20.74/14.36 tff(30304,plain,
% 20.74/14.36 (v13(constB64)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30303, 2669, 30300])).
% 20.74/14.36 tff(30305,plain,
% 20.74/14.36 (((~![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))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30306,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30307,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30306, 30305])).
% 20.74/14.36 tff(30308,plain,
% 20.74/14.36 ((~v13(constB64)) | v9(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30307, 2686, 7232])).
% 20.74/14.36 tff(30309,plain,
% 20.74/14.36 (v9(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30308, 30304])).
% 20.74/14.36 tff(30310,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30311,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30312,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63)),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30311, 30310])).
% 20.74/14.36 tff(30313,plain,
% 20.74/14.36 ((~v9(constB63)) | v141(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30312, 22396, 7090])).
% 20.74/14.36 tff(30314,plain,
% 20.74/14.36 (v141(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30313, 30309])).
% 20.74/14.36 tff(30315,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB63) | (~v141(constB63)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB63) | (~v141(constB63)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30316,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB63) | (~v141(constB63)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30317,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB63) | (~v141(constB63))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30316, 30315])).
% 20.74/14.36 tff(30318,plain,
% 20.74/14.36 (v140(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30317, 22408, 30314])).
% 20.74/14.36 tff(30319,plain,
% 20.74/14.36 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB63)) | (~v155(constB63)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB63)) | (~v155(constB63)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30320,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB63)) | (~v155(constB63)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30321,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB63)) | (~v155(constB63))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30320, 30319])).
% 20.74/14.36 tff(30322,plain,
% 20.74/14.36 (~v155(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30321, 22552, 30318])).
% 20.74/14.36 tff(30323,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB63) | v155(constB63) | (~v150(constB63)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB63) | v155(constB63) | (~v150(constB63)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30324,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB63) | v155(constB63) | (~v150(constB63)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30325,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB63) | v155(constB63) | (~v150(constB63))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 20.74/14.36 tff(30326,plain,
% 20.74/14.36 (v153(constB63) | (~v150(constB63))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30325, 22566, 30322])).
% 20.74/14.36 tff(30327,plain,
% 20.74/14.36 (~v150(constB63)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30326, 30287])).
% 20.74/14.36 tff(30328,plain,
% 20.74/14.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30329,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30330,plain,
% 20.74/14.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB63, constB64)) | v150(constB63) | (~v152(constB64))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30329, 30328])).
% 20.74/14.36 tff(30331,plain,
% 20.74/14.36 (v150(constB63) | (~v152(constB64))),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30330, 22581, 7232])).
% 20.74/14.36 tff(30332,plain,
% 20.74/14.36 (~v152(constB64)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30331, 30327])).
% 20.74/14.36 tff(30333,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB64) | (~v155(constB64)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB64) | (~v155(constB64)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30334,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB64) | (~v155(constB64)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30335,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB64) | (~v155(constB64))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30334, 30333])).
% 20.74/14.36 tff(30336,plain,
% 20.74/14.36 (~v155(constB64)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30335, 22593, 30332])).
% 20.74/14.36 tff(30337,plain,
% 20.74/14.36 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB64)) | (~v141(constB64)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB64)) | (~v141(constB64)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30338,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB64)) | (~v141(constB64)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30339,plain,
% 20.74/14.36 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB64)) | (~v141(constB64))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30338, 30337])).
% 20.74/14.36 tff(30340,plain,
% 20.74/14.36 (~v141(constB64)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30339, 22474, 7252])).
% 20.74/14.36 tff(30341,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB64) | (~v154(constB64)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB64) | (~v154(constB64)))),
% 20.74/14.36 inference(rewrite,[status(thm)],[])).
% 20.74/14.36 tff(30342,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB64) | (~v154(constB64)))),
% 20.74/14.36 inference(quant_inst,[status(thm)],[])).
% 20.74/14.36 tff(30343,plain,
% 20.74/14.36 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB64) | (~v154(constB64))),
% 20.74/14.36 inference(modus_ponens,[status(thm)],[30342, 30341])).
% 20.74/14.36 tff(30344,plain,
% 20.74/14.36 (~v154(constB64)),
% 20.74/14.36 inference(unit_resolution,[status(thm)],[30343, 22608, 30340])).
% 20.74/14.36 tff(30345,plain,
% 20.74/14.36 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB64) | (~v153(constB64)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB64) | (~v153(constB64)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30346,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB64) | (~v153(constB64)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30347,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB64) | (~v153(constB64))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30346, 30345])).
% 20.74/14.37 tff(30348,plain,
% 20.74/14.37 (~v153(constB64)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30347, 22619, 30344])).
% 20.74/14.37 tff(30349,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB64) | v155(constB64) | (~v150(constB64)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB64) | v155(constB64) | (~v150(constB64)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30350,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB64) | v155(constB64) | (~v150(constB64)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30351,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB64) | v155(constB64) | (~v150(constB64))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30350, 30349])).
% 20.74/14.37 tff(30352,plain,
% 20.74/14.37 (v155(constB64) | (~v150(constB64))),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30351, 22566, 30348])).
% 20.74/14.37 tff(30353,plain,
% 20.74/14.37 (~v150(constB64)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30352, 30336])).
% 20.74/14.37 tff(30354,plain,
% 20.74/14.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30355,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30356,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB64, constB65)) | v150(constB64) | (~v152(constB65))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30355, 30354])).
% 20.74/14.37 tff(30357,plain,
% 20.74/14.37 (v150(constB64) | (~v152(constB65))),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30356, 22581, 7297])).
% 20.74/14.37 tff(30358,plain,
% 20.74/14.37 (~v152(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30357, 30353])).
% 20.74/14.37 tff(30359,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB65) | (~v164(constB65)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB65) | (~v164(constB65)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30360,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB65) | (~v164(constB65)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30361,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB65) | (~v164(constB65))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30360, 30359])).
% 20.74/14.37 tff(30362,plain,
% 20.74/14.37 (~v164(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30361, 22640, 30358])).
% 20.74/14.37 tff(30363,assumption,(v18(constB66)), introduced(assumption)).
% 20.74/14.37 tff(30364,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB66))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30365,plain,
% 20.74/14.37 ($false),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30364, 2627, 30363])).
% 20.74/14.37 tff(30366,plain,(~v18(constB66)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.37 tff(30367,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30368,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30369,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30368, 30367])).
% 20.74/14.37 tff(30370,plain,
% 20.74/14.37 (v22(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30369, 2640, 7443])).
% 20.74/14.37 tff(30371,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB66)) | (~v22(constB66)) | v18(constB66))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB66)) | (~v22(constB66)) | v18(constB66))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30372,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB66)) | (~v22(constB66)) | v18(constB66))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30373,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB66)) | (~v22(constB66)) | v18(constB66)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30372, 30371])).
% 20.74/14.37 tff(30374,plain,
% 20.74/14.37 ((~v19(constB66)) | v18(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30373, 2654, 30370])).
% 20.74/14.37 tff(30375,plain,
% 20.74/14.37 (~v19(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30374, 30366])).
% 20.74/14.37 tff(30376,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30377,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30378,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 20.74/14.37 tff(30379,plain,
% 20.74/14.37 (v13(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30378, 2669, 30375])).
% 20.74/14.37 tff(30380,plain,
% 20.74/14.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30381,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30382,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB65, constB66)) | (~v13(constB66)) | v9(constB65)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30381, 30380])).
% 20.74/14.37 tff(30383,plain,
% 20.74/14.37 ((~v13(constB66)) | v9(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30382, 2686, 7423])).
% 20.74/14.37 tff(30384,plain,
% 20.74/14.37 (v9(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30383, 30379])).
% 20.74/14.37 tff(30385,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v141(constB65))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB65) | (~v9(constB65)) | v141(constB65))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30386,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v141(constB65))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30387,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB65) | (~v9(constB65)) | v141(constB65)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30386, 30385])).
% 20.74/14.37 tff(30388,plain,
% 20.74/14.37 ((~v9(constB65)) | v141(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30387, 22396, 7294])).
% 20.74/14.37 tff(30389,plain,
% 20.74/14.37 (v141(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30388, 30384])).
% 20.74/14.37 tff(30390,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB65) | (~v141(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB65) | (~v141(constB65)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30391,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB65) | (~v141(constB65)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30392,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB65) | (~v141(constB65))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30391, 30390])).
% 20.74/14.37 tff(30393,plain,
% 20.74/14.37 (v140(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30392, 22408, 30389])).
% 20.74/14.37 tff(30394,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB65)) | (~v163(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB65)) | (~v163(constB65)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30395,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB65)) | (~v163(constB65)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30396,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB65)) | (~v163(constB65))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30395, 30394])).
% 20.74/14.37 tff(30397,plain,
% 20.74/14.37 (~v163(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30396, 22781, 30393])).
% 20.74/14.37 tff(30398,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB65)) | v163(constB65) | v164(constB65))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB65)) | v163(constB65) | v164(constB65))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30399,plain,
% 20.74/14.37 ((v164(constB65) | v163(constB65) | (~v160(constB65))) <=> ((~v160(constB65)) | v163(constB65) | v164(constB65))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30400,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB65) | v163(constB65) | (~v160(constB65)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB65)) | v163(constB65) | v164(constB65)))),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30399])).
% 20.74/14.37 tff(30401,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB65) | v163(constB65) | (~v160(constB65)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB65)) | v163(constB65) | v164(constB65))),
% 20.74/14.37 inference(transitivity,[status(thm)],[30400, 30398])).
% 20.74/14.37 tff(30402,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB65) | v163(constB65) | (~v160(constB65)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30403,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB65)) | v163(constB65) | v164(constB65)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30402, 30401])).
% 20.74/14.37 tff(30404,plain,
% 20.74/14.37 ((~v160(constB65)) | v164(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30403, 22795, 30397])).
% 20.74/14.37 tff(30405,plain,
% 20.74/14.37 (~v160(constB65)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30404, 30362])).
% 20.74/14.37 tff(30406,plain,
% 20.74/14.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30407,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30408,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB65, constB66)) | v160(constB65) | (~v162(constB66))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30407, 30406])).
% 20.74/14.37 tff(30409,plain,
% 20.74/14.37 (v160(constB65) | (~v162(constB66))),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30408, 22813, 7423])).
% 20.74/14.37 tff(30410,plain,
% 20.74/14.37 (~v162(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30409, 30405])).
% 20.74/14.37 tff(30411,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB66) | (~v163(constB66)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB66) | (~v163(constB66)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30412,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB66) | (~v163(constB66)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30413,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB66) | (~v163(constB66))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30412, 30411])).
% 20.74/14.37 tff(30414,plain,
% 20.74/14.37 (~v163(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30413, 22825, 30410])).
% 20.74/14.37 tff(30415,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB66)) | (~v141(constB66)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB66)) | (~v141(constB66)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30416,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB66)) | (~v141(constB66)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30417,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB66)) | (~v141(constB66))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30416, 30415])).
% 20.74/14.37 tff(30418,plain,
% 20.74/14.37 (~v141(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30417, 22474, 7443])).
% 20.74/14.37 tff(30419,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB66) | (~v154(constB66)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB66) | (~v154(constB66)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30420,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB66) | (~v154(constB66)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30421,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB66) | (~v154(constB66))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30420, 30419])).
% 20.74/14.37 tff(30422,plain,
% 20.74/14.37 (~v154(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30421, 22608, 30418])).
% 20.74/14.37 tff(30423,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB66) | (~v164(constB66)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB66) | (~v164(constB66)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30424,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB66) | (~v164(constB66)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30425,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB66) | (~v164(constB66))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30424, 30423])).
% 20.74/14.37 tff(30426,plain,
% 20.74/14.37 (~v164(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30425, 22836, 30422])).
% 20.74/14.37 tff(30427,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB66)) | v164(constB66) | v163(constB66))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB66)) | v164(constB66) | v163(constB66))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30428,plain,
% 20.74/14.37 ((v164(constB66) | v163(constB66) | (~v160(constB66))) <=> ((~v160(constB66)) | v164(constB66) | v163(constB66))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30429,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB66) | v163(constB66) | (~v160(constB66)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB66)) | v164(constB66) | v163(constB66)))),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30428])).
% 20.74/14.37 tff(30430,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB66) | v163(constB66) | (~v160(constB66)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB66)) | v164(constB66) | v163(constB66))),
% 20.74/14.37 inference(transitivity,[status(thm)],[30429, 30427])).
% 20.74/14.37 tff(30431,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB66) | v163(constB66) | (~v160(constB66)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30432,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB66)) | v164(constB66) | v163(constB66)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30431, 30430])).
% 20.74/14.37 tff(30433,plain,
% 20.74/14.37 ((~v160(constB66)) | v163(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30432, 22795, 30426])).
% 20.74/14.37 tff(30434,plain,
% 20.74/14.37 (~v160(constB66)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30433, 30414])).
% 20.74/14.37 tff(30435,plain,
% 20.74/14.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30436,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30437,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB66, constB67)) | v160(constB66) | (~v162(constB67))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30436, 30435])).
% 20.74/14.37 tff(30438,plain,
% 20.74/14.37 (v160(constB66) | (~v162(constB67))),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30437, 22813, 7488])).
% 20.74/14.37 tff(30439,plain,
% 20.74/14.37 (~v162(constB67)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30438, 30434])).
% 20.74/14.37 tff(30440,plain,
% 20.74/14.37 ($false),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30439, 30236])).
% 20.74/14.37 tff(30441,plain,(~(constB67 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.37 tff(30442,assumption,(constB2 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.37 tff(30443,plain,
% 20.74/14.37 (v1(constB2) <=> v1(sK0_VarCurr)),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30442])).
% 20.74/14.37 tff(30444,plain,
% 20.74/14.37 (v1(sK0_VarCurr) <=> v1(constB2)),
% 20.74/14.37 inference(symmetry,[status(thm)],[30443])).
% 20.74/14.37 tff(30445,plain,
% 20.74/14.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB2))),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30444])).
% 20.74/14.37 tff(30446,plain,
% 20.74/14.37 (~v1(constB2)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[23510, 30445])).
% 20.74/14.37 tff(30447,plain,
% 20.74/14.37 ($false),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[333, 30446])).
% 20.74/14.37 tff(30448,plain,(~(constB2 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.37 tff(30449,assumption,(constB162 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.37 tff(30450,plain,
% 20.74/14.37 (v1(constB162) <=> v1(sK0_VarCurr)),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30449])).
% 20.74/14.37 tff(30451,plain,
% 20.74/14.37 (v1(sK0_VarCurr) <=> v1(constB162)),
% 20.74/14.37 inference(symmetry,[status(thm)],[30450])).
% 20.74/14.37 tff(30452,plain,
% 20.74/14.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB162))),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30451])).
% 20.74/14.37 tff(30453,plain,
% 20.74/14.37 (~v1(constB162)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[23510, 30452])).
% 20.74/14.37 tff(30454,plain,
% 20.74/14.37 ($false),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[19562, 30453])).
% 20.74/14.37 tff(30455,plain,(~(constB162 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.37 tff(30456,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.37 tff(30457,plain,
% 20.74/14.37 (v1(constB198) <=> v1(sK0_VarCurr)),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30456])).
% 20.74/14.37 tff(30458,plain,
% 20.74/14.37 (v1(sK0_VarCurr) <=> v1(constB198)),
% 20.74/14.37 inference(symmetry,[status(thm)],[30457])).
% 20.74/14.37 tff(30459,plain,
% 20.74/14.37 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30458])).
% 20.74/14.37 tff(30460,plain,
% 20.74/14.37 (~v1(constB198)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[23510, 30459])).
% 20.74/14.37 tff(30461,plain,
% 20.74/14.37 (v1(constB198) <=> v1(constB198)),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30462,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 20.74/14.37 tff(30463,plain,
% 20.74/14.37 (v1(constB198)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30462, 30461])).
% 20.74/14.37 tff(30464,plain,
% 20.74/14.37 ($false),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30463, 30460])).
% 20.74/14.37 tff(30465,plain,(~(constB198 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.37 tff(30466,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.37 tff(30467,plain,
% 20.74/14.37 (v162(constB49) <=> v162(sK0_VarCurr)),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30466])).
% 20.74/14.37 tff(30468,plain,
% 20.74/14.37 (v162(sK0_VarCurr) <=> v162(constB49)),
% 20.74/14.37 inference(symmetry,[status(thm)],[30467])).
% 20.74/14.37 tff(30469,plain,
% 20.74/14.37 (v162(constB49)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[22337, 30468])).
% 20.74/14.37 tff(30470,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB43, bitIndex1)) | (~v145(constB43)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB43, bitIndex1)) | (~v145(constB43)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30471,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB43, bitIndex1)) | (~v145(constB43)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30472,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB43, bitIndex1)) | (~v145(constB43))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 20.74/14.37 tff(30473,plain,
% 20.74/14.37 (~v145(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30472, 2012, 5188])).
% 20.74/14.37 tff(30474,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB43) | (~v144(constB43)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB43) | (~v144(constB43)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30475,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB43) | (~v144(constB43)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30476,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB43) | (~v144(constB43))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30475, 30474])).
% 20.74/14.37 tff(30477,plain,
% 20.74/14.37 (~v144(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30476, 22349, 30473])).
% 20.74/14.37 tff(30478,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB43) | (~v142(constB43)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB43) | (~v142(constB43)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30479,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB43) | (~v142(constB43)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30480,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB43) | (~v142(constB43))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30479, 30478])).
% 20.74/14.37 tff(30481,plain,
% 20.74/14.37 (~v142(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30480, 22360, 30477])).
% 20.74/14.37 tff(30482,assumption,(v18(constB44)), introduced(assumption)).
% 20.74/14.37 tff(30483,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB44))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30484,plain,
% 20.74/14.37 ($false),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30483, 2627, 30482])).
% 20.74/14.37 tff(30485,plain,(~v18(constB44)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.37 tff(30486,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30487,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30488,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30487, 30486])).
% 20.74/14.37 tff(30489,plain,
% 20.74/14.37 (v22(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30488, 2640, 5291])).
% 20.74/14.37 tff(30490,plain,
% 20.74/14.37 (((~![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))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30491,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB44)) | (~v22(constB44)) | v18(constB44))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30492,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB44)) | (~v22(constB44)) | v18(constB44)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30491, 30490])).
% 20.74/14.37 tff(30493,plain,
% 20.74/14.37 ((~v19(constB44)) | v18(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30492, 2654, 30489])).
% 20.74/14.37 tff(30494,plain,
% 20.74/14.37 (~v19(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30493, 30485])).
% 20.74/14.37 tff(30495,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30496,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30497,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30496, 30495])).
% 20.74/14.37 tff(30498,plain,
% 20.74/14.37 (v13(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30497, 2669, 30494])).
% 20.74/14.37 tff(30499,plain,
% 20.74/14.37 (((~![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))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30500,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30501,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB43, constB44)) | (~v13(constB44)) | v9(constB43)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30500, 30499])).
% 20.74/14.37 tff(30502,plain,
% 20.74/14.37 ((~v13(constB44)) | v9(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30501, 2686, 5271])).
% 20.74/14.37 tff(30503,plain,
% 20.74/14.37 (v9(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30502, 30498])).
% 20.74/14.37 tff(30504,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v141(constB43))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB43) | (~v9(constB43)) | v141(constB43))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30505,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v141(constB43))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30506,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB43) | (~v9(constB43)) | v141(constB43)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30505, 30504])).
% 20.74/14.37 tff(30507,plain,
% 20.74/14.37 ((~v9(constB43)) | v141(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30506, 22396, 5164])).
% 20.74/14.37 tff(30508,plain,
% 20.74/14.37 (v141(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30507, 30503])).
% 20.74/14.37 tff(30509,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB43) | (~v141(constB43)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB43) | (~v141(constB43)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30510,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB43) | (~v141(constB43)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30511,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB43) | (~v141(constB43))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30510, 30509])).
% 20.74/14.37 tff(30512,plain,
% 20.74/14.37 (v140(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30511, 22408, 30508])).
% 20.74/14.37 tff(30513,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB43)) | (~v140(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB43)) | (~v140(constB43)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30514,plain,
% 20.74/14.37 (((~v140(constB43)) | (~v138(constB43))) <=> ((~v138(constB43)) | (~v140(constB43)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30515,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB43)) | (~v138(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB43)) | (~v140(constB43))))),
% 20.74/14.37 inference(monotonicity,[status(thm)],[30514])).
% 20.74/14.37 tff(30516,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB43)) | (~v138(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB43)) | (~v140(constB43)))),
% 20.74/14.37 inference(transitivity,[status(thm)],[30515, 30513])).
% 20.74/14.37 tff(30517,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB43)) | (~v138(constB43)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30518,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB43)) | (~v140(constB43))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30517, 30516])).
% 20.74/14.37 tff(30519,plain,
% 20.74/14.37 (~v138(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30518, 22419, 30512])).
% 20.74/14.37 tff(30520,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB43) | v142(constB43) | (~v135(constB43)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB43) | v142(constB43) | (~v135(constB43)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30521,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB43) | v142(constB43) | (~v135(constB43)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30522,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB43) | v142(constB43) | (~v135(constB43))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30521, 30520])).
% 20.74/14.37 tff(30523,plain,
% 20.74/14.37 (v142(constB43) | (~v135(constB43))),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30522, 22436, 30519])).
% 20.74/14.37 tff(30524,plain,
% 20.74/14.37 (~v135(constB43)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30523, 30481])).
% 20.74/14.37 tff(30525,plain,
% 20.74/14.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30526,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30527,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30526, 30525])).
% 20.74/14.37 tff(30528,plain,
% 20.74/14.37 (v135(constB43) | (~v137(constB44))),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30527, 22451, 5271])).
% 20.74/14.37 tff(30529,plain,
% 20.74/14.37 (~v137(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30528, 30524])).
% 20.74/14.37 tff(30530,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB44) | (~v138(constB44)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB44) | (~v138(constB44)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30531,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB44) | (~v138(constB44)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30532,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB44) | (~v138(constB44))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30531, 30530])).
% 20.74/14.37 tff(30533,plain,
% 20.74/14.37 (~v138(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30532, 22463, 30529])).
% 20.74/14.37 tff(30534,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB44)) | (~v141(constB44)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB44)) | (~v141(constB44)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30535,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB44)) | (~v141(constB44)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30536,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB44)) | (~v141(constB44))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30535, 30534])).
% 20.74/14.37 tff(30537,plain,
% 20.74/14.37 (~v141(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30536, 22474, 5291])).
% 20.74/14.37 tff(30538,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB44) | (~v144(constB44)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB44) | (~v144(constB44)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30539,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB44) | (~v144(constB44)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30540,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB44) | (~v144(constB44))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30539, 30538])).
% 20.74/14.37 tff(30541,plain,
% 20.74/14.37 (~v144(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30540, 22485, 30537])).
% 20.74/14.37 tff(30542,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB44) | (~v142(constB44)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB44) | (~v142(constB44)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30543,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB44) | (~v142(constB44)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30544,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB44) | (~v142(constB44))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30543, 30542])).
% 20.74/14.37 tff(30545,plain,
% 20.74/14.37 (~v142(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30544, 22360, 30541])).
% 20.74/14.37 tff(30546,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB44) | v142(constB44) | (~v135(constB44)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB44) | v142(constB44) | (~v135(constB44)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30547,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB44) | v142(constB44) | (~v135(constB44)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30548,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB44) | v142(constB44) | (~v135(constB44))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30547, 30546])).
% 20.74/14.37 tff(30549,plain,
% 20.74/14.37 (v138(constB44) | (~v135(constB44))),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30548, 22436, 30545])).
% 20.74/14.37 tff(30550,plain,
% 20.74/14.37 (~v135(constB44)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30549, 30533])).
% 20.74/14.37 tff(30551,plain,
% 20.74/14.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30552,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30553,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30552, 30551])).
% 20.74/14.37 tff(30554,plain,
% 20.74/14.37 (v135(constB44) | (~v137(constB45))),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30553, 22451, 5336])).
% 20.74/14.37 tff(30555,plain,
% 20.74/14.37 (~v137(constB45)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30554, 30550])).
% 20.74/14.37 tff(30556,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB45) | (~v153(constB45)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB45) | (~v153(constB45)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30557,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB45) | (~v153(constB45)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30558,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB45) | (~v153(constB45))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30557, 30556])).
% 20.74/14.37 tff(30559,plain,
% 20.74/14.37 (~v153(constB45)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30558, 22510, 30555])).
% 20.74/14.37 tff(30560,assumption,(v18(constB46)), introduced(assumption)).
% 20.74/14.37 tff(30561,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB46))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30562,plain,
% 20.74/14.37 ($false),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30561, 2627, 30560])).
% 20.74/14.37 tff(30563,plain,(~v18(constB46)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.37 tff(30564,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30565,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30566,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30565, 30564])).
% 20.74/14.37 tff(30567,plain,
% 20.74/14.37 (v22(constB46)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30566, 2640, 5458])).
% 20.74/14.37 tff(30568,plain,
% 20.74/14.37 (((~![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))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30569,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB46)) | (~v22(constB46)) | v18(constB46))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30570,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB46)) | (~v22(constB46)) | v18(constB46)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30569, 30568])).
% 20.74/14.37 tff(30571,plain,
% 20.74/14.37 ((~v19(constB46)) | v18(constB46)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30570, 2654, 30567])).
% 20.74/14.37 tff(30572,plain,
% 20.74/14.37 (~v19(constB46)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30571, 30563])).
% 20.74/14.37 tff(30573,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30574,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30575,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30574, 30573])).
% 20.74/14.37 tff(30576,plain,
% 20.74/14.37 (v13(constB46)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30575, 2669, 30572])).
% 20.74/14.37 tff(30577,plain,
% 20.74/14.37 (((~![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))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30578,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30579,plain,
% 20.74/14.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB45, constB46)) | (~v13(constB46)) | v9(constB45)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30578, 30577])).
% 20.74/14.37 tff(30580,plain,
% 20.74/14.37 ((~v13(constB46)) | v9(constB45)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30579, 2686, 5438])).
% 20.74/14.37 tff(30581,plain,
% 20.74/14.37 (v9(constB45)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30580, 30576])).
% 20.74/14.37 tff(30582,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v141(constB45))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB45) | (~v9(constB45)) | v141(constB45))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30583,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v141(constB45))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30584,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB45) | (~v9(constB45)) | v141(constB45)),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30583, 30582])).
% 20.74/14.37 tff(30585,plain,
% 20.74/14.37 ((~v9(constB45)) | v141(constB45)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30584, 22396, 5333])).
% 20.74/14.37 tff(30586,plain,
% 20.74/14.37 (v141(constB45)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30585, 30581])).
% 20.74/14.37 tff(30587,plain,
% 20.74/14.37 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB45) | (~v141(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB45) | (~v141(constB45)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30588,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB45) | (~v141(constB45)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30589,plain,
% 20.74/14.37 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB45) | (~v141(constB45))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30588, 30587])).
% 20.74/14.37 tff(30590,plain,
% 20.74/14.37 (v140(constB45)),
% 20.74/14.37 inference(unit_resolution,[status(thm)],[30589, 22408, 30586])).
% 20.74/14.37 tff(30591,plain,
% 20.74/14.37 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB45)) | (~v155(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB45)) | (~v155(constB45)))),
% 20.74/14.37 inference(rewrite,[status(thm)],[])).
% 20.74/14.37 tff(30592,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB45)) | (~v155(constB45)))),
% 20.74/14.37 inference(quant_inst,[status(thm)],[])).
% 20.74/14.37 tff(30593,plain,
% 20.74/14.37 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB45)) | (~v155(constB45))),
% 20.74/14.37 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 20.74/14.38 tff(30594,plain,
% 20.74/14.38 (~v155(constB45)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30593, 22552, 30590])).
% 20.74/14.38 tff(30595,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB45) | v155(constB45) | (~v150(constB45)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB45) | v155(constB45) | (~v150(constB45)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30596,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB45) | v155(constB45) | (~v150(constB45)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30597,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB45) | v155(constB45) | (~v150(constB45))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30596, 30595])).
% 20.74/14.38 tff(30598,plain,
% 20.74/14.38 (v153(constB45) | (~v150(constB45))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30597, 22566, 30594])).
% 20.74/14.38 tff(30599,plain,
% 20.74/14.38 (~v150(constB45)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30598, 30559])).
% 20.74/14.38 tff(30600,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30601,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30602,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30601, 30600])).
% 20.74/14.38 tff(30603,plain,
% 20.74/14.38 (v150(constB45) | (~v152(constB46))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30602, 22581, 5438])).
% 20.74/14.38 tff(30604,plain,
% 20.74/14.38 (~v152(constB46)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30603, 30599])).
% 20.74/14.38 tff(30605,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB46) | (~v155(constB46)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB46) | (~v155(constB46)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30606,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB46) | (~v155(constB46)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30607,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB46) | (~v155(constB46))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30606, 30605])).
% 20.74/14.38 tff(30608,plain,
% 20.74/14.38 (~v155(constB46)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30607, 22593, 30604])).
% 20.74/14.38 tff(30609,plain,
% 20.74/14.38 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB46)) | (~v141(constB46)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB46)) | (~v141(constB46)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30610,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB46)) | (~v141(constB46)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30611,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB46)) | (~v141(constB46))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30610, 30609])).
% 20.74/14.38 tff(30612,plain,
% 20.74/14.38 (~v141(constB46)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30611, 22474, 5458])).
% 20.74/14.38 tff(30613,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB46) | (~v154(constB46)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB46) | (~v154(constB46)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30614,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB46) | (~v154(constB46)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30615,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB46) | (~v154(constB46))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 20.74/14.38 tff(30616,plain,
% 20.74/14.38 (~v154(constB46)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30615, 22608, 30612])).
% 20.74/14.38 tff(30617,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB46) | (~v153(constB46)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB46) | (~v153(constB46)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30618,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB46) | (~v153(constB46)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30619,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB46) | (~v153(constB46))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30618, 30617])).
% 20.74/14.38 tff(30620,plain,
% 20.74/14.38 (~v153(constB46)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30619, 22619, 30616])).
% 20.74/14.38 tff(30621,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB46) | v155(constB46) | (~v150(constB46)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB46) | v155(constB46) | (~v150(constB46)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30622,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB46) | v155(constB46) | (~v150(constB46)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30623,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB46) | v155(constB46) | (~v150(constB46))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30622, 30621])).
% 20.74/14.38 tff(30624,plain,
% 20.74/14.38 (v155(constB46) | (~v150(constB46))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30623, 22566, 30620])).
% 20.74/14.38 tff(30625,plain,
% 20.74/14.38 (~v150(constB46)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30624, 30608])).
% 20.74/14.38 tff(30626,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30627,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30628,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30627, 30626])).
% 20.74/14.38 tff(30629,plain,
% 20.74/14.38 (v150(constB46) | (~v152(constB47))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30628, 22581, 5566])).
% 20.74/14.38 tff(30630,plain,
% 20.74/14.38 (~v152(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30629, 30625])).
% 20.74/14.38 tff(30631,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB47) | (~v164(constB47)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB47) | (~v164(constB47)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30632,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB47) | (~v164(constB47)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30633,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB47) | (~v164(constB47))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30632, 30631])).
% 20.74/14.38 tff(30634,plain,
% 20.74/14.38 (~v164(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30633, 22640, 30630])).
% 20.74/14.38 tff(30635,assumption,(v18(constB48)), introduced(assumption)).
% 20.74/14.38 tff(30636,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB48))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30637,plain,
% 20.74/14.38 ($false),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30636, 2627, 30635])).
% 20.74/14.38 tff(30638,plain,(~v18(constB48)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.38 tff(30639,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30640,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30641,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30640, 30639])).
% 20.74/14.38 tff(30642,plain,
% 20.74/14.38 (v22(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30641, 2640, 5700])).
% 20.74/14.38 tff(30643,plain,
% 20.74/14.38 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB48)) | (~v22(constB48)) | v18(constB48))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB48)) | (~v22(constB48)) | v18(constB48))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30644,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB48)) | (~v22(constB48)) | v18(constB48))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30645,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB48)) | (~v22(constB48)) | v18(constB48)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30644, 30643])).
% 20.74/14.38 tff(30646,plain,
% 20.74/14.38 ((~v19(constB48)) | v18(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30645, 2654, 30642])).
% 20.74/14.38 tff(30647,plain,
% 20.74/14.38 (~v19(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30646, 30638])).
% 20.74/14.38 tff(30648,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30649,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30650,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30649, 30648])).
% 20.74/14.38 tff(30651,plain,
% 20.74/14.38 (v13(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30650, 2669, 30647])).
% 20.74/14.38 tff(30652,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30653,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30654,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB47, constB48)) | (~v13(constB48)) | v9(constB47)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30653, 30652])).
% 20.74/14.38 tff(30655,plain,
% 20.74/14.38 ((~v13(constB48)) | v9(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30654, 2686, 5680])).
% 20.74/14.38 tff(30656,plain,
% 20.74/14.38 (v9(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30655, 30651])).
% 20.74/14.38 tff(30657,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v141(constB47))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB47) | (~v9(constB47)) | v141(constB47))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30658,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v141(constB47))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30659,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB47) | (~v9(constB47)) | v141(constB47)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30658, 30657])).
% 20.74/14.38 tff(30660,plain,
% 20.74/14.38 ((~v9(constB47)) | v141(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30659, 22396, 5563])).
% 20.74/14.38 tff(30661,plain,
% 20.74/14.38 (v141(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30660, 30656])).
% 20.74/14.38 tff(30662,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB47) | (~v141(constB47)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB47) | (~v141(constB47)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30663,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB47) | (~v141(constB47)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30664,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB47) | (~v141(constB47))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30663, 30662])).
% 20.74/14.38 tff(30665,plain,
% 20.74/14.38 (v140(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30664, 22408, 30661])).
% 20.74/14.38 tff(30666,plain,
% 20.74/14.38 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB47)) | (~v163(constB47)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB47)) | (~v163(constB47)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30667,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB47)) | (~v163(constB47)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30668,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB47)) | (~v163(constB47))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30667, 30666])).
% 20.74/14.38 tff(30669,plain,
% 20.74/14.38 (~v163(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30668, 22781, 30665])).
% 20.74/14.38 tff(30670,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB47)) | v163(constB47) | v164(constB47))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB47)) | v163(constB47) | v164(constB47))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30671,plain,
% 20.74/14.38 ((v164(constB47) | v163(constB47) | (~v160(constB47))) <=> ((~v160(constB47)) | v163(constB47) | v164(constB47))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30672,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB47) | v163(constB47) | (~v160(constB47)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB47)) | v163(constB47) | v164(constB47)))),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30671])).
% 20.74/14.38 tff(30673,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB47) | v163(constB47) | (~v160(constB47)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB47)) | v163(constB47) | v164(constB47))),
% 20.74/14.38 inference(transitivity,[status(thm)],[30672, 30670])).
% 20.74/14.38 tff(30674,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB47) | v163(constB47) | (~v160(constB47)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30675,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB47)) | v163(constB47) | v164(constB47)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30674, 30673])).
% 20.74/14.38 tff(30676,plain,
% 20.74/14.38 ((~v160(constB47)) | v164(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30675, 22795, 30669])).
% 20.74/14.38 tff(30677,plain,
% 20.74/14.38 (~v160(constB47)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30676, 30634])).
% 20.74/14.38 tff(30678,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30679,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30680,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30679, 30678])).
% 20.74/14.38 tff(30681,plain,
% 20.74/14.38 (v160(constB47) | (~v162(constB48))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30680, 22813, 5680])).
% 20.74/14.38 tff(30682,plain,
% 20.74/14.38 (~v162(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30681, 30677])).
% 20.74/14.38 tff(30683,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB48) | (~v163(constB48)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB48) | (~v163(constB48)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30684,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB48) | (~v163(constB48)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30685,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB48) | (~v163(constB48))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30684, 30683])).
% 20.74/14.38 tff(30686,plain,
% 20.74/14.38 (~v163(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30685, 22825, 30682])).
% 20.74/14.38 tff(30687,plain,
% 20.74/14.38 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB48)) | (~v141(constB48)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB48)) | (~v141(constB48)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30688,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB48)) | (~v141(constB48)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30689,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB48)) | (~v141(constB48))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30688, 30687])).
% 20.74/14.38 tff(30690,plain,
% 20.74/14.38 (~v141(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30689, 22474, 5700])).
% 20.74/14.38 tff(30691,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB48) | (~v154(constB48)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB48) | (~v154(constB48)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30692,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB48) | (~v154(constB48)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30693,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB48) | (~v154(constB48))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 20.74/14.38 tff(30694,plain,
% 20.74/14.38 (~v154(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30693, 22608, 30690])).
% 20.74/14.38 tff(30695,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB48) | (~v164(constB48)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB48) | (~v164(constB48)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30696,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB48) | (~v164(constB48)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30697,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB48) | (~v164(constB48))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30696, 30695])).
% 20.74/14.38 tff(30698,plain,
% 20.74/14.38 (~v164(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30697, 22836, 30694])).
% 20.74/14.38 tff(30699,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB48)) | v164(constB48) | v163(constB48))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB48)) | v164(constB48) | v163(constB48))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30700,plain,
% 20.74/14.38 ((v164(constB48) | v163(constB48) | (~v160(constB48))) <=> ((~v160(constB48)) | v164(constB48) | v163(constB48))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30701,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB48) | v163(constB48) | (~v160(constB48)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB48)) | v164(constB48) | v163(constB48)))),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30700])).
% 20.74/14.38 tff(30702,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB48) | v163(constB48) | (~v160(constB48)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB48)) | v164(constB48) | v163(constB48))),
% 20.74/14.38 inference(transitivity,[status(thm)],[30701, 30699])).
% 20.74/14.38 tff(30703,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB48) | v163(constB48) | (~v160(constB48)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30704,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB48)) | v164(constB48) | v163(constB48)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30703, 30702])).
% 20.74/14.38 tff(30705,plain,
% 20.74/14.38 ((~v160(constB48)) | v163(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30704, 22795, 30698])).
% 20.74/14.38 tff(30706,plain,
% 20.74/14.38 (~v160(constB48)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30705, 30686])).
% 20.74/14.38 tff(30707,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30708,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30709,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30708, 30707])).
% 20.74/14.38 tff(30710,plain,
% 20.74/14.38 (v160(constB48) | (~v162(constB49))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30709, 22813, 5742])).
% 20.74/14.38 tff(30711,plain,
% 20.74/14.38 (~v162(constB49)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30710, 30706])).
% 20.74/14.38 tff(30712,plain,
% 20.74/14.38 ($false),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30711, 30469])).
% 20.74/14.38 tff(30713,plain,(~(constB49 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.38 tff(30714,assumption,(constB98 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.38 tff(30715,plain,
% 20.74/14.38 (v1(constB98) <=> v1(sK0_VarCurr)),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30714])).
% 20.74/14.38 tff(30716,plain,
% 20.74/14.38 (v1(sK0_VarCurr) <=> v1(constB98)),
% 20.74/14.38 inference(symmetry,[status(thm)],[30715])).
% 20.74/14.38 tff(30717,plain,
% 20.74/14.38 ((~v1(sK0_VarCurr)) <=> (~v1(constB98))),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30716])).
% 20.74/14.38 tff(30718,plain,
% 20.74/14.38 (~v1(constB98)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[23510, 30717])).
% 20.74/14.38 tff(30719,plain,
% 20.74/14.38 ($false),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[12813, 30718])).
% 20.74/14.38 tff(30720,plain,(~(constB98 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.38 tff(30721,assumption,(constB78 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.38 tff(30722,plain,
% 20.74/14.38 (v1(constB78) <=> v1(sK0_VarCurr)),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30721])).
% 20.74/14.38 tff(30723,plain,
% 20.74/14.38 (v1(sK0_VarCurr) <=> v1(constB78)),
% 20.74/14.38 inference(symmetry,[status(thm)],[30722])).
% 20.74/14.38 tff(30724,plain,
% 20.74/14.38 ((~v1(sK0_VarCurr)) <=> (~v1(constB78))),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30723])).
% 20.74/14.38 tff(30725,plain,
% 20.74/14.38 (~v1(constB78)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[23510, 30724])).
% 20.74/14.38 tff(30726,plain,
% 20.74/14.38 ($false),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[8846, 30725])).
% 20.74/14.38 tff(30727,plain,(~(constB78 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.38 tff(30728,assumption,(constB197 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.38 tff(30729,plain,
% 20.74/14.38 (v162(constB197) <=> v162(sK0_VarCurr)),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30728])).
% 20.74/14.38 tff(30730,plain,
% 20.74/14.38 (v162(sK0_VarCurr) <=> v162(constB197)),
% 20.74/14.38 inference(symmetry,[status(thm)],[30729])).
% 20.74/14.38 tff(30731,plain,
% 20.74/14.38 (v162(constB197)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[22337, 30730])).
% 20.74/14.38 tff(30732,plain,
% 20.74/14.38 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB187)) | (~v124(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB187)) | (~v124(constB187, bitIndex1)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30733,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB187)) | (~v124(constB187, bitIndex1)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30734,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB187)) | (~v124(constB187, bitIndex1))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30733, 30732])).
% 20.74/14.38 tff(30735,plain,
% 20.74/14.38 (~v124(constB187, bitIndex1)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30734, 1358, 22075])).
% 20.74/14.38 tff(30736,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30737,plain,
% 20.74/14.38 ((v26(constB187) | v124(constB187, bitIndex1) | (~v121(constB187, bitIndex1))) <=> ((~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30738,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB187) | v124(constB187, bitIndex1) | (~v121(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1)))),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30737])).
% 20.74/14.38 tff(30739,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB187) | v124(constB187, bitIndex1) | (~v121(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1))),
% 20.74/14.38 inference(transitivity,[status(thm)],[30738, 30736])).
% 20.74/14.38 tff(30740,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB187) | v124(constB187, bitIndex1) | (~v121(constB187, bitIndex1)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30741,plain,
% 20.74/14.38 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1)),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30740, 30739])).
% 20.74/14.38 tff(30742,plain,
% 20.74/14.38 ((~v121(constB187, bitIndex1)) | v124(constB187, bitIndex1)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30741, 483, 22083])).
% 20.74/14.38 tff(30743,plain,
% 20.74/14.38 (~v121(constB187, bitIndex1)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30742, 30735])).
% 20.74/14.38 tff(30744,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30745,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30746,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30745, 30744])).
% 20.74/14.38 tff(30747,plain,
% 20.74/14.38 (v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30746, 501, 22091])).
% 20.74/14.38 tff(30748,plain,
% 20.74/14.38 (~v123(constB188, bitIndex1)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30747, 30743])).
% 20.74/14.38 tff(30749,plain,
% 20.74/14.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30750,plain,
% 20.74/14.38 (((~v84(constB188, bitIndex1)) | (~v94(constB188)) | v123(constB188, bitIndex1)) <=> ((~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30751,plain,
% 20.74/14.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~v94(constB188)) | v123(constB188, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188))))),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30750])).
% 20.74/14.38 tff(30752,plain,
% 20.74/14.38 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~v94(constB188)) | v123(constB188, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188)))),
% 20.74/14.38 inference(transitivity,[status(thm)],[30751, 30749])).
% 20.74/14.38 tff(30753,plain,
% 20.74/14.38 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~v94(constB188)) | v123(constB188, bitIndex1))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30754,plain,
% 20.74/14.38 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 20.74/14.38 tff(30755,plain,
% 20.74/14.38 ((~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30754, 516, 22226])).
% 20.74/14.38 tff(30756,plain,
% 20.74/14.38 (~v84(constB188, bitIndex1)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30755, 30748])).
% 20.74/14.38 tff(30757,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30758,plain,
% 20.74/14.38 (((~nextState(constB188, constB189)) | v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1))) <=> (v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30759,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1))))),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30758])).
% 20.74/14.38 tff(30760,plain,
% 20.74/14.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1)))),
% 20.74/14.38 inference(transitivity,[status(thm)],[30759, 30757])).
% 20.74/14.38 tff(30761,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30762,plain,
% 20.74/14.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 20.74/14.38 tff(30763,plain,
% 20.74/14.38 (v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30762, 142, 22240])).
% 20.74/14.38 tff(30764,plain,
% 20.74/14.38 (v84(constB188, bitIndex1) | (~v84(constB189, bitIndex1))),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30763, 22252])).
% 20.74/14.38 tff(30765,plain,
% 20.74/14.38 (~v84(constB189, bitIndex1)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30764, 30756])).
% 20.74/14.38 tff(30766,plain,
% 20.74/14.38 (((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB187)) | (~v124(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB187)) | (~v124(constB187, bitIndex0)))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30767,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB187)) | (~v124(constB187, bitIndex0)))),
% 20.74/14.38 inference(quant_inst,[status(thm)],[])).
% 20.74/14.38 tff(30768,plain,
% 20.74/14.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB187)) | (~v124(constB187, bitIndex0))),
% 20.74/14.38 inference(modus_ponens,[status(thm)],[30767, 30766])).
% 20.74/14.38 tff(30769,plain,
% 20.74/14.38 (~v124(constB187, bitIndex0)),
% 20.74/14.38 inference(unit_resolution,[status(thm)],[30768, 1402, 22075])).
% 20.74/14.38 tff(30770,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30771,plain,
% 20.74/14.38 ((v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0))) <=> ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 20.74/14.38 inference(rewrite,[status(thm)],[])).
% 20.74/14.38 tff(30772,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0)))),
% 20.74/14.38 inference(monotonicity,[status(thm)],[30771])).
% 20.74/14.38 tff(30773,plain,
% 20.74/14.38 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 20.74/14.39 inference(transitivity,[status(thm)],[30772, 30770])).
% 20.74/14.39 tff(30774,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30775,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0)),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30774, 30773])).
% 20.74/14.39 tff(30776,plain,
% 20.74/14.39 ((~v121(constB187, bitIndex0)) | v124(constB187, bitIndex0)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30775, 885, 22083])).
% 20.74/14.39 tff(30777,plain,
% 20.74/14.39 (~v121(constB187, bitIndex0)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30776, 30769])).
% 20.74/14.39 tff(30778,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30779,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30780,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30779, 30778])).
% 20.74/14.39 tff(30781,plain,
% 20.74/14.39 (v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30780, 903, 22091])).
% 20.74/14.39 tff(30782,plain,
% 20.74/14.39 (~v123(constB188, bitIndex0)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30781, 30777])).
% 20.74/14.39 tff(30783,plain,
% 20.74/14.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30784,plain,
% 20.74/14.39 (((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0)) <=> ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30785,plain,
% 20.74/14.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188))))),
% 20.74/14.39 inference(monotonicity,[status(thm)],[30784])).
% 20.74/14.39 tff(30786,plain,
% 20.74/14.39 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 20.74/14.39 inference(transitivity,[status(thm)],[30785, 30783])).
% 20.74/14.39 tff(30787,plain,
% 20.74/14.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30788,plain,
% 20.74/14.39 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30787, 30786])).
% 20.74/14.39 tff(30789,plain,
% 20.74/14.39 ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30788, 918, 22226])).
% 20.74/14.39 tff(30790,plain,
% 20.74/14.39 (~v84(constB188, bitIndex0)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30789, 30782])).
% 20.74/14.39 tff(30791,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30792,plain,
% 20.74/14.39 (((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0))) <=> (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30793,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0))))),
% 20.74/14.39 inference(monotonicity,[status(thm)],[30792])).
% 20.74/14.39 tff(30794,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 20.74/14.39 inference(transitivity,[status(thm)],[30793, 30791])).
% 20.74/14.39 tff(30795,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30796,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30795, 30794])).
% 20.74/14.39 tff(30797,plain,
% 20.74/14.39 (v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30796, 163, 22240])).
% 20.74/14.39 tff(30798,plain,
% 20.74/14.39 (v84(constB188, bitIndex0) | (~v84(constB189, bitIndex0))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30797, 22252])).
% 20.74/14.39 tff(30799,plain,
% 20.74/14.39 (~v84(constB189, bitIndex0)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30798, 30790])).
% 20.74/14.39 tff(30800,plain,
% 20.74/14.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30801,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30802,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189)),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30801, 30800])).
% 20.74/14.39 tff(30803,plain,
% 20.74/14.39 (v172(constB189)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30802, 1446, 30799, 30765, 22261])).
% 20.74/14.39 tff(30804,plain,
% 20.74/14.39 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB189) | (~v172(constB189)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB189) | (~v172(constB189)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30805,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB189) | (~v172(constB189)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30806,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB189) | (~v172(constB189))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30805, 30804])).
% 20.74/14.39 tff(30807,plain,
% 20.74/14.39 (v109(constB189)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30806, 1457, 30803])).
% 20.74/14.39 tff(30808,plain,
% 20.74/14.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB189) | (~v109(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB189) | (~v109(constB189)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30809,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB189) | (~v109(constB189)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30810,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB189) | (~v109(constB189))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30809, 30808])).
% 20.74/14.39 tff(30811,plain,
% 20.74/14.39 (v108(constB189)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30810, 239, 30807])).
% 20.74/14.39 tff(30812,plain,
% 20.74/14.39 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB189) | (~v108(constB189)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB189) | (~v108(constB189)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30813,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB189) | (~v108(constB189)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30814,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB189) | (~v108(constB189))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30813, 30812])).
% 20.74/14.39 tff(30815,plain,
% 20.74/14.39 (v107(constB189)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30814, 250, 30811])).
% 20.74/14.39 tff(30816,assumption,(v26(constB189)), introduced(assumption)).
% 20.74/14.39 tff(30817,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30818,plain,
% 20.74/14.39 ($false),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30817, 18, 30816])).
% 20.74/14.39 tff(30819,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.39 tff(30820,plain,
% 20.74/14.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB189) | (~v107(constB189)) | v106(constB189))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB189) | (~v107(constB189)) | v106(constB189))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30821,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB189) | (~v107(constB189)) | v106(constB189))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30822,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB189) | (~v107(constB189)) | v106(constB189)),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30821, 30820])).
% 20.74/14.39 tff(30823,plain,
% 20.74/14.39 ((~v107(constB189)) | v106(constB189)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30822, 264, 30819])).
% 20.74/14.39 tff(30824,plain,
% 20.74/14.39 (v106(constB189)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30823, 30815])).
% 20.74/14.39 tff(30825,plain,
% 20.74/14.39 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB189) | (~v106(constB189)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB189) | (~v106(constB189)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30826,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB189) | (~v106(constB189)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30827,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB189) | (~v106(constB189))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30826, 30825])).
% 20.74/14.39 tff(30828,plain,
% 20.74/14.39 (v102(constB189)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30827, 276, 30824])).
% 20.74/14.39 tff(30829,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30830,plain,
% 20.74/14.39 (((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190)) <=> ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30831,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189))))),
% 20.74/14.39 inference(monotonicity,[status(thm)],[30830])).
% 20.74/14.39 tff(30832,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 20.74/14.39 inference(transitivity,[status(thm)],[30831, 30829])).
% 20.74/14.39 tff(30833,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30834,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30833, 30832])).
% 20.74/14.39 tff(30835,plain,
% 20.74/14.39 (v104(constB190) | (~v102(constB189))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30834, 293, 23974])).
% 20.74/14.39 tff(30836,plain,
% 20.74/14.39 (v104(constB190)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30835, 30828])).
% 20.74/14.39 tff(30837,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30838,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30839,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30838, 30837])).
% 20.74/14.39 tff(30840,plain,
% 20.74/14.39 (~v98(constB190)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30839, 311, 23974, 22237])).
% 20.74/14.39 tff(30841,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30842,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30843,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB189, constB190)) | v96(constB190) | v98(constB190)),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30842, 30841])).
% 20.74/14.39 tff(30844,plain,
% 20.74/14.39 (v96(constB190) | v98(constB190)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30843, 325, 23974])).
% 20.74/14.39 tff(30845,plain,
% 20.74/14.39 (v96(constB190)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30844, 30840])).
% 20.74/14.39 tff(30846,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30847,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30848,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30847, 30846])).
% 20.74/14.39 tff(30849,plain,
% 20.74/14.39 (v95(constB190) | (~v96(constB190))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30848, 343, 23974, 23958])).
% 20.74/14.39 tff(30850,plain,
% 20.74/14.39 (v95(constB190)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30849, 30845])).
% 20.74/14.39 tff(30851,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30852,plain,
% 20.74/14.39 (((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190)) <=> ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30853,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190))))),
% 20.74/14.39 inference(monotonicity,[status(thm)],[30852])).
% 20.74/14.39 tff(30854,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 20.74/14.39 inference(transitivity,[status(thm)],[30853, 30851])).
% 20.74/14.39 tff(30855,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30856,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30855, 30854])).
% 20.74/14.39 tff(30857,plain,
% 20.74/14.39 (v94(constB190) | (~v95(constB190)) | (~v104(constB190))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30856, 358, 23974])).
% 20.74/14.39 tff(30858,plain,
% 20.74/14.39 (v94(constB190) | (~v104(constB190))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30857, 30850])).
% 20.74/14.39 tff(30859,plain,
% 20.74/14.39 (v94(constB190)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30858, 30836])).
% 20.74/14.39 tff(30860,plain,
% 20.74/14.39 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB189)) | v124(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB189)) | v124(constB189, bitIndex2))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30861,plain,
% 20.74/14.39 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB189)) | v124(constB189, bitIndex2))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30862,plain,
% 20.74/14.39 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB189)) | v124(constB189, bitIndex2)),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 20.74/14.39 tff(30863,plain,
% 20.74/14.39 (v124(constB189, bitIndex2)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30862, 1528, 30803])).
% 20.74/14.39 tff(30864,plain,
% 20.74/14.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB189) | (~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB189) | (~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30865,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB189) | (~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30866,plain,
% 20.74/14.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB189) | (~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2)),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30865, 30864])).
% 20.74/14.39 tff(30867,plain,
% 20.74/14.39 ((~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30866, 1273, 30819])).
% 20.74/14.39 tff(30868,plain,
% 20.74/14.39 (v121(constB189, bitIndex2)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30867, 30863])).
% 20.74/14.39 tff(30869,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30870,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30871,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2)),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30870, 30869])).
% 20.74/14.39 tff(30872,plain,
% 20.74/14.39 ((~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30871, 1288, 23974])).
% 20.74/14.39 tff(30873,plain,
% 20.74/14.39 (v123(constB190, bitIndex2)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30872, 30868])).
% 20.74/14.39 tff(30874,plain,
% 20.74/14.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30875,plain,
% 20.74/14.39 ((v84(constB190, bitIndex2) | (~v94(constB190)) | (~v123(constB190, bitIndex2))) <=> (v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30876,plain,
% 20.74/14.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v94(constB190)) | (~v123(constB190, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190))))),
% 20.74/14.39 inference(monotonicity,[status(thm)],[30875])).
% 20.74/14.39 tff(30877,plain,
% 20.74/14.39 (((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v94(constB190)) | (~v123(constB190, bitIndex2)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190)))),
% 20.74/14.39 inference(transitivity,[status(thm)],[30876, 30874])).
% 20.74/14.39 tff(30878,plain,
% 20.74/14.39 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v94(constB190)) | (~v123(constB190, bitIndex2)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30879,plain,
% 20.74/14.39 ((~![VarNext: $i] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30878, 30877])).
% 20.74/14.39 tff(30880,plain,
% 20.74/14.39 (v84(constB190, bitIndex2) | (~v94(constB190))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30879, 1303, 30873])).
% 20.74/14.39 tff(30881,plain,
% 20.74/14.39 (v84(constB190, bitIndex2)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30880, 30859])).
% 20.74/14.39 tff(30882,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30883,plain,
% 20.74/14.39 (((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30884,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191))))),
% 20.74/14.39 inference(monotonicity,[status(thm)],[30883])).
% 20.74/14.39 tff(30885,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 20.74/14.39 inference(transitivity,[status(thm)],[30884, 30882])).
% 20.74/14.39 tff(30886,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30887,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30886, 30885])).
% 20.74/14.39 tff(30888,plain,
% 20.74/14.39 (~v95(constB191)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30887, 89, 24029, 24069])).
% 20.74/14.39 tff(30889,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30890,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.39 tff(30891,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191))),
% 20.74/14.39 inference(modus_ponens,[status(thm)],[30890, 30889])).
% 20.74/14.39 tff(30892,plain,
% 20.74/14.39 (v95(constB191) | (~v94(constB191))),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30891, 106, 24029])).
% 20.74/14.39 tff(30893,plain,
% 20.74/14.39 (~v94(constB191)),
% 20.74/14.39 inference(unit_resolution,[status(thm)],[30892, 30888])).
% 20.74/14.39 tff(30894,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30895,plain,
% 20.74/14.39 (((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2)) <=> ((~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2))),
% 20.74/14.39 inference(rewrite,[status(thm)],[])).
% 20.74/14.39 tff(30896,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2)))),
% 20.74/14.39 inference(monotonicity,[status(thm)],[30895])).
% 20.74/14.39 tff(30897,plain,
% 20.74/14.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2))),
% 20.74/14.39 inference(transitivity,[status(thm)],[30896, 30894])).
% 20.74/14.39 tff(30898,plain,
% 20.74/14.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2))),
% 20.74/14.39 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30899,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30898, 30897])).
% 20.74/14.40 tff(30900,plain,
% 20.74/14.40 ((~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30899, 1339, 24029])).
% 20.74/14.40 tff(30901,plain,
% 20.74/14.40 ((~v84(constB190, bitIndex2)) | v84(constB191, bitIndex2)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30900, 30893])).
% 20.74/14.40 tff(30902,plain,
% 20.74/14.40 (v84(constB191, bitIndex2)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30901, 30881])).
% 20.74/14.40 tff(30903,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB191, bitIndex2)) | (~v145(constB191)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB191, bitIndex2)) | (~v145(constB191)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30904,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB191, bitIndex2)) | (~v145(constB191)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30905,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB191, bitIndex2)) | (~v145(constB191))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30904, 30903])).
% 20.74/14.40 tff(30906,plain,
% 20.74/14.40 (~v145(constB191)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30905, 10327, 30902])).
% 20.74/14.40 tff(30907,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB191) | (~v144(constB191)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB191) | (~v144(constB191)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30908,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB191) | (~v144(constB191)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30909,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB191) | (~v144(constB191))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30908, 30907])).
% 20.74/14.40 tff(30910,plain,
% 20.74/14.40 (~v144(constB191)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30909, 22349, 30906])).
% 20.74/14.40 tff(30911,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB191) | (~v142(constB191)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB191) | (~v142(constB191)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30912,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB191) | (~v142(constB191)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30913,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB191) | (~v142(constB191))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30912, 30911])).
% 20.74/14.40 tff(30914,plain,
% 20.74/14.40 (~v142(constB191)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30913, 22360, 30910])).
% 20.74/14.40 tff(30915,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB191)) | (~v140(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB191)) | (~v140(constB191)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30916,plain,
% 20.74/14.40 (((~v140(constB191)) | (~v138(constB191))) <=> ((~v138(constB191)) | (~v140(constB191)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30917,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB191)) | (~v138(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB191)) | (~v140(constB191))))),
% 20.74/14.40 inference(monotonicity,[status(thm)],[30916])).
% 20.74/14.40 tff(30918,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB191)) | (~v138(constB191)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB191)) | (~v140(constB191)))),
% 20.74/14.40 inference(transitivity,[status(thm)],[30917, 30915])).
% 20.74/14.40 tff(30919,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB191)) | (~v138(constB191)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30920,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB191)) | (~v140(constB191))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30919, 30918])).
% 20.74/14.40 tff(30921,plain,
% 20.74/14.40 (~v138(constB191)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30920, 22419, 24078])).
% 20.74/14.40 tff(30922,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB191) | v142(constB191) | (~v135(constB191)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB191) | v142(constB191) | (~v135(constB191)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30923,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB191) | v142(constB191) | (~v135(constB191)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30924,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB191) | v142(constB191) | (~v135(constB191))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 20.74/14.40 tff(30925,plain,
% 20.74/14.40 (v142(constB191) | (~v135(constB191))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30924, 22436, 30921])).
% 20.74/14.40 tff(30926,plain,
% 20.74/14.40 (~v135(constB191)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30925, 30914])).
% 20.74/14.40 tff(30927,plain,
% 20.74/14.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30928,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30929,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30928, 30927])).
% 20.74/14.40 tff(30930,plain,
% 20.74/14.40 (v135(constB191) | (~v137(constB192))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30929, 22451, 24061])).
% 20.74/14.40 tff(30931,plain,
% 20.74/14.40 (~v137(constB192)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30930, 30926])).
% 20.74/14.40 tff(30932,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB192) | (~v138(constB192)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB192) | (~v138(constB192)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30933,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB192) | (~v138(constB192)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30934,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB192) | (~v138(constB192))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30933, 30932])).
% 20.74/14.40 tff(30935,plain,
% 20.74/14.40 (~v138(constB192)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30934, 22463, 30931])).
% 20.74/14.40 tff(30936,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB192) | (~v144(constB192)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB192) | (~v144(constB192)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30937,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB192) | (~v144(constB192)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30938,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB192) | (~v144(constB192))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30937, 30936])).
% 20.74/14.40 tff(30939,plain,
% 20.74/14.40 (~v144(constB192)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30938, 22485, 24100])).
% 20.74/14.40 tff(30940,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB192) | (~v142(constB192)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB192) | (~v142(constB192)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30941,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB192) | (~v142(constB192)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30942,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB192) | (~v142(constB192))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30941, 30940])).
% 20.74/14.40 tff(30943,plain,
% 20.74/14.40 (~v142(constB192)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30942, 22360, 30939])).
% 20.74/14.40 tff(30944,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB192) | v142(constB192) | (~v135(constB192)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB192) | v142(constB192) | (~v135(constB192)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30945,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB192) | v142(constB192) | (~v135(constB192)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30946,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB192) | v142(constB192) | (~v135(constB192))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30945, 30944])).
% 20.74/14.40 tff(30947,plain,
% 20.74/14.40 (v138(constB192) | (~v135(constB192))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30946, 22436, 30943])).
% 20.74/14.40 tff(30948,plain,
% 20.74/14.40 (~v135(constB192)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30947, 30935])).
% 20.74/14.40 tff(30949,plain,
% 20.74/14.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30950,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30951,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30950, 30949])).
% 20.74/14.40 tff(30952,plain,
% 20.74/14.40 (v135(constB192) | (~v137(constB193))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30951, 22451, 24116])).
% 20.74/14.40 tff(30953,plain,
% 20.74/14.40 (~v137(constB193)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30952, 30948])).
% 20.74/14.40 tff(30954,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB193) | (~v153(constB193)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB193) | (~v153(constB193)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30955,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB193) | (~v153(constB193)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30956,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB193) | (~v153(constB193))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30955, 30954])).
% 20.74/14.40 tff(30957,plain,
% 20.74/14.40 (~v153(constB193)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30956, 22510, 30953])).
% 20.74/14.40 tff(30958,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB193)) | (~v155(constB193)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB193)) | (~v155(constB193)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30959,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB193)) | (~v155(constB193)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30960,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB193)) | (~v155(constB193))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 20.74/14.40 tff(30961,plain,
% 20.74/14.40 (~v155(constB193)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30960, 22552, 24165])).
% 20.74/14.40 tff(30962,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB193) | v155(constB193) | (~v150(constB193)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB193) | v155(constB193) | (~v150(constB193)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30963,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB193) | v155(constB193) | (~v150(constB193)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30964,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB193) | v155(constB193) | (~v150(constB193))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30963, 30962])).
% 20.74/14.40 tff(30965,plain,
% 20.74/14.40 (v153(constB193) | (~v150(constB193))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30964, 22566, 30961])).
% 20.74/14.40 tff(30966,plain,
% 20.74/14.40 (~v150(constB193)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30965, 30957])).
% 20.74/14.40 tff(30967,plain,
% 20.74/14.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB193, constB194)) | v150(constB193) | (~v152(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB193, constB194)) | v150(constB193) | (~v152(constB194)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30968,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB193, constB194)) | v150(constB193) | (~v152(constB194)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30969,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB193, constB194)) | v150(constB193) | (~v152(constB194))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30968, 30967])).
% 20.74/14.40 tff(30970,plain,
% 20.74/14.40 (v150(constB193) | (~v152(constB194))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30969, 22581, 24148])).
% 20.74/14.40 tff(30971,plain,
% 20.74/14.40 (~v152(constB194)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30970, 30966])).
% 20.74/14.40 tff(30972,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB194) | (~v155(constB194)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB194) | (~v155(constB194)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30973,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB194) | (~v155(constB194)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30974,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB194) | (~v155(constB194))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30973, 30972])).
% 20.74/14.40 tff(30975,plain,
% 20.74/14.40 (~v155(constB194)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30974, 22593, 30971])).
% 20.74/14.40 tff(30976,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB194) | (~v153(constB194)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB194) | (~v153(constB194)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30977,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB194) | (~v153(constB194)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30978,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB194) | (~v153(constB194))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30977, 30976])).
% 20.74/14.40 tff(30979,plain,
% 20.74/14.40 (~v153(constB194)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30978, 22619, 24194])).
% 20.74/14.40 tff(30980,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB194) | v155(constB194) | (~v150(constB194)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB194) | v155(constB194) | (~v150(constB194)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30981,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB194) | v155(constB194) | (~v150(constB194)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30982,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB194) | v155(constB194) | (~v150(constB194))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30981, 30980])).
% 20.74/14.40 tff(30983,plain,
% 20.74/14.40 (v155(constB194) | (~v150(constB194))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30982, 22566, 30979])).
% 20.74/14.40 tff(30984,plain,
% 20.74/14.40 (~v150(constB194)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30983, 30975])).
% 20.74/14.40 tff(30985,plain,
% 20.74/14.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB194, constB195)) | v150(constB194) | (~v152(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB194, constB195)) | v150(constB194) | (~v152(constB195)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30986,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB194, constB195)) | v150(constB194) | (~v152(constB195)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30987,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB194, constB195)) | v150(constB194) | (~v152(constB195))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30986, 30985])).
% 20.74/14.40 tff(30988,plain,
% 20.74/14.40 (v150(constB194) | (~v152(constB195))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30987, 22581, 24209])).
% 20.74/14.40 tff(30989,plain,
% 20.74/14.40 (~v152(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30988, 30984])).
% 20.74/14.40 tff(30990,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB195) | (~v164(constB195)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB195) | (~v164(constB195)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30991,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB195) | (~v164(constB195)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30992,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB195) | (~v164(constB195))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 20.74/14.40 tff(30993,plain,
% 20.74/14.40 (~v164(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30992, 22640, 30989])).
% 20.74/14.40 tff(30994,assumption,(v18(constB196)), introduced(assumption)).
% 20.74/14.40 tff(30995,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB196))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(30996,plain,
% 20.74/14.40 ($false),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[30995, 2627, 30994])).
% 20.74/14.40 tff(30997,plain,(~v18(constB196)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.40 tff(30998,plain,
% 20.74/14.40 (v1(constB196) <=> v1(constB196)),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(30999,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 20.74/14.40 tff(31000,plain,
% 20.74/14.40 (v1(constB196)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[30999, 30998])).
% 20.74/14.40 tff(31001,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31002,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31003,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31002, 31001])).
% 20.74/14.40 tff(31004,plain,
% 20.74/14.40 (v22(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31003, 2640, 31000])).
% 20.74/14.40 tff(31005,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB196)) | (~v22(constB196)) | v18(constB196))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB196)) | (~v22(constB196)) | v18(constB196))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31006,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB196)) | (~v22(constB196)) | v18(constB196))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31007,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB196)) | (~v22(constB196)) | v18(constB196)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31006, 31005])).
% 20.74/14.40 tff(31008,plain,
% 20.74/14.40 ((~v19(constB196)) | v18(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31007, 2654, 31004])).
% 20.74/14.40 tff(31009,plain,
% 20.74/14.40 (~v19(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31008, 30997])).
% 20.74/14.40 tff(31010,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31011,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31012,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31011, 31010])).
% 20.74/14.40 tff(31013,plain,
% 20.74/14.40 (v13(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31012, 2669, 31009])).
% 20.74/14.40 tff(31014,plain,
% 20.74/14.40 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31015,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 20.74/14.40 tff(31016,plain,
% 20.74/14.40 (nextState(constB195, constB196)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31015, 31014])).
% 20.74/14.40 tff(31017,plain,
% 20.74/14.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31018,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31019,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB195, constB196)) | (~v13(constB196)) | v9(constB195)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31018, 31017])).
% 20.74/14.40 tff(31020,plain,
% 20.74/14.40 ((~v13(constB196)) | v9(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31019, 2686, 31016])).
% 20.74/14.40 tff(31021,plain,
% 20.74/14.40 (v9(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31020, 31013])).
% 20.74/14.40 tff(31022,plain,
% 20.74/14.40 ((~v1(constB195)) <=> (~v1(constB195))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31023,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 20.74/14.40 tff(31024,plain,
% 20.74/14.40 (~v1(constB195)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31023, 31022])).
% 20.74/14.40 tff(31025,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v141(constB195))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB195) | (~v9(constB195)) | v141(constB195))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31026,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v141(constB195))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31027,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB195) | (~v9(constB195)) | v141(constB195)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31026, 31025])).
% 20.74/14.40 tff(31028,plain,
% 20.74/14.40 ((~v9(constB195)) | v141(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31027, 22396, 31024])).
% 20.74/14.40 tff(31029,plain,
% 20.74/14.40 (v141(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31028, 31021])).
% 20.74/14.40 tff(31030,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB195) | (~v141(constB195)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB195) | (~v141(constB195)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31031,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB195) | (~v141(constB195)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31032,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB195) | (~v141(constB195))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31031, 31030])).
% 20.74/14.40 tff(31033,plain,
% 20.74/14.40 (v140(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31032, 22408, 31029])).
% 20.74/14.40 tff(31034,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB195)) | (~v163(constB195)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB195)) | (~v163(constB195)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31035,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB195)) | (~v163(constB195)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31036,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB195)) | (~v163(constB195))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31035, 31034])).
% 20.74/14.40 tff(31037,plain,
% 20.74/14.40 (~v163(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31036, 22781, 31033])).
% 20.74/14.40 tff(31038,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB195)) | v163(constB195) | v164(constB195))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB195)) | v163(constB195) | v164(constB195))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31039,plain,
% 20.74/14.40 ((v164(constB195) | v163(constB195) | (~v160(constB195))) <=> ((~v160(constB195)) | v163(constB195) | v164(constB195))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31040,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB195) | v163(constB195) | (~v160(constB195)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB195)) | v163(constB195) | v164(constB195)))),
% 20.74/14.40 inference(monotonicity,[status(thm)],[31039])).
% 20.74/14.40 tff(31041,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB195) | v163(constB195) | (~v160(constB195)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB195)) | v163(constB195) | v164(constB195))),
% 20.74/14.40 inference(transitivity,[status(thm)],[31040, 31038])).
% 20.74/14.40 tff(31042,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB195) | v163(constB195) | (~v160(constB195)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31043,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB195)) | v163(constB195) | v164(constB195)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31042, 31041])).
% 20.74/14.40 tff(31044,plain,
% 20.74/14.40 ((~v160(constB195)) | v164(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31043, 22795, 31037])).
% 20.74/14.40 tff(31045,plain,
% 20.74/14.40 (~v160(constB195)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31044, 30993])).
% 20.74/14.40 tff(31046,plain,
% 20.74/14.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB195, constB196)) | v160(constB195) | (~v162(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB195, constB196)) | v160(constB195) | (~v162(constB196)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31047,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB195, constB196)) | v160(constB195) | (~v162(constB196)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31048,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB195, constB196)) | v160(constB195) | (~v162(constB196))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31047, 31046])).
% 20.74/14.40 tff(31049,plain,
% 20.74/14.40 (v160(constB195) | (~v162(constB196))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31048, 22813, 31016])).
% 20.74/14.40 tff(31050,plain,
% 20.74/14.40 (~v162(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31049, 31045])).
% 20.74/14.40 tff(31051,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB196) | (~v163(constB196)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB196) | (~v163(constB196)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31052,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB196) | (~v163(constB196)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31053,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB196) | (~v163(constB196))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31052, 31051])).
% 20.74/14.40 tff(31054,plain,
% 20.74/14.40 (~v163(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31053, 22825, 31050])).
% 20.74/14.40 tff(31055,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB196)) | (~v141(constB196)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB196)) | (~v141(constB196)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31056,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB196)) | (~v141(constB196)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31057,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB196)) | (~v141(constB196))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 20.74/14.40 tff(31058,plain,
% 20.74/14.40 (~v141(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31057, 22474, 31000])).
% 20.74/14.40 tff(31059,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB196) | (~v154(constB196)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB196) | (~v154(constB196)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31060,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB196) | (~v154(constB196)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31061,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB196) | (~v154(constB196))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31060, 31059])).
% 20.74/14.40 tff(31062,plain,
% 20.74/14.40 (~v154(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31061, 22608, 31058])).
% 20.74/14.40 tff(31063,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB196) | (~v164(constB196)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB196) | (~v164(constB196)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31064,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB196) | (~v164(constB196)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31065,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB196) | (~v164(constB196))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31064, 31063])).
% 20.74/14.40 tff(31066,plain,
% 20.74/14.40 (~v164(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31065, 22836, 31062])).
% 20.74/14.40 tff(31067,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB196)) | v164(constB196) | v163(constB196))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB196)) | v164(constB196) | v163(constB196))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31068,plain,
% 20.74/14.40 ((v164(constB196) | v163(constB196) | (~v160(constB196))) <=> ((~v160(constB196)) | v164(constB196) | v163(constB196))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31069,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB196) | v163(constB196) | (~v160(constB196)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB196)) | v164(constB196) | v163(constB196)))),
% 20.74/14.40 inference(monotonicity,[status(thm)],[31068])).
% 20.74/14.40 tff(31070,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB196) | v163(constB196) | (~v160(constB196)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB196)) | v164(constB196) | v163(constB196))),
% 20.74/14.40 inference(transitivity,[status(thm)],[31069, 31067])).
% 20.74/14.40 tff(31071,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB196) | v163(constB196) | (~v160(constB196)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31072,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB196)) | v164(constB196) | v163(constB196)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31071, 31070])).
% 20.74/14.40 tff(31073,plain,
% 20.74/14.40 ((~v160(constB196)) | v163(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31072, 22795, 31066])).
% 20.74/14.40 tff(31074,plain,
% 20.74/14.40 (~v160(constB196)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31073, 31054])).
% 20.74/14.40 tff(31075,plain,
% 20.74/14.40 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31076,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 20.74/14.40 tff(31077,plain,
% 20.74/14.40 (nextState(constB196, constB197)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31076, 31075])).
% 20.74/14.40 tff(31078,plain,
% 20.74/14.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB196, constB197)) | v160(constB196) | (~v162(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB196, constB197)) | v160(constB196) | (~v162(constB197)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31079,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB196, constB197)) | v160(constB196) | (~v162(constB197)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31080,plain,
% 20.74/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB196, constB197)) | v160(constB196) | (~v162(constB197))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31079, 31078])).
% 20.74/14.40 tff(31081,plain,
% 20.74/14.40 (v160(constB196) | (~v162(constB197))),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31080, 22813, 31077])).
% 20.74/14.40 tff(31082,plain,
% 20.74/14.40 (~v162(constB197)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31081, 31074])).
% 20.74/14.40 tff(31083,plain,
% 20.74/14.40 ($false),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31082, 30731])).
% 20.74/14.40 tff(31084,plain,(~(constB197 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.40 tff(31085,assumption,(constB144 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.40 tff(31086,plain,
% 20.74/14.40 (v1(constB144) <=> v1(sK0_VarCurr)),
% 20.74/14.40 inference(monotonicity,[status(thm)],[31085])).
% 20.74/14.40 tff(31087,plain,
% 20.74/14.40 (v1(sK0_VarCurr) <=> v1(constB144)),
% 20.74/14.40 inference(symmetry,[status(thm)],[31086])).
% 20.74/14.40 tff(31088,plain,
% 20.74/14.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB144))),
% 20.74/14.40 inference(monotonicity,[status(thm)],[31087])).
% 20.74/14.40 tff(31089,plain,
% 20.74/14.40 (~v1(constB144)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[23510, 31088])).
% 20.74/14.40 tff(31090,plain,
% 20.74/14.40 ($false),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[17676, 31089])).
% 20.74/14.40 tff(31091,plain,(~(constB144 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.40 tff(31092,assumption,(constB181 = sK0_VarCurr), introduced(assumption)).
% 20.74/14.40 tff(31093,plain,
% 20.74/14.40 (v162(constB181) <=> v162(sK0_VarCurr)),
% 20.74/14.40 inference(monotonicity,[status(thm)],[31092])).
% 20.74/14.40 tff(31094,plain,
% 20.74/14.40 (v162(sK0_VarCurr) <=> v162(constB181)),
% 20.74/14.40 inference(symmetry,[status(thm)],[31093])).
% 20.74/14.40 tff(31095,plain,
% 20.74/14.40 (v162(constB181)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[22337, 31094])).
% 20.74/14.40 tff(31096,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB175, bitIndex1)) | (~v145(constB175)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB175, bitIndex1)) | (~v145(constB175)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31097,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB175, bitIndex1)) | (~v145(constB175)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31098,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB175, bitIndex1)) | (~v145(constB175))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31097, 31096])).
% 20.74/14.40 tff(31099,plain,
% 20.74/14.40 (~v145(constB175)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31098, 2012, 20854])).
% 20.74/14.40 tff(31100,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB175) | (~v144(constB175)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB175) | (~v144(constB175)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31101,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB175) | (~v144(constB175)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31102,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB175) | (~v144(constB175))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31101, 31100])).
% 20.74/14.40 tff(31103,plain,
% 20.74/14.40 (~v144(constB175)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31102, 22349, 31099])).
% 20.74/14.40 tff(31104,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB175) | (~v142(constB175)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB175) | (~v142(constB175)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31105,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB175) | (~v142(constB175)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31106,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB175) | (~v142(constB175))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31105, 31104])).
% 20.74/14.40 tff(31107,plain,
% 20.74/14.40 (~v142(constB175)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31106, 22360, 31103])).
% 20.74/14.40 tff(31108,assumption,(v18(constB176)), introduced(assumption)).
% 20.74/14.40 tff(31109,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB176))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31110,plain,
% 20.74/14.40 ($false),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31109, 2627, 31108])).
% 20.74/14.40 tff(31111,plain,(~v18(constB176)), inference(lemma,lemma(discharge,[]))).
% 20.74/14.40 tff(31112,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176)))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31113,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31114,plain,
% 20.74/14.40 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176))),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31113, 31112])).
% 20.74/14.40 tff(31115,plain,
% 20.74/14.40 (v22(constB176)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31114, 2640, 20941])).
% 20.74/14.40 tff(31116,plain,
% 20.74/14.40 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB176)) | (~v22(constB176)) | v18(constB176))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB176)) | (~v22(constB176)) | v18(constB176))),
% 20.74/14.40 inference(rewrite,[status(thm)],[])).
% 20.74/14.40 tff(31117,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB176)) | (~v22(constB176)) | v18(constB176))),
% 20.74/14.40 inference(quant_inst,[status(thm)],[])).
% 20.74/14.40 tff(31118,plain,
% 20.74/14.40 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB176)) | (~v22(constB176)) | v18(constB176)),
% 20.74/14.40 inference(modus_ponens,[status(thm)],[31117, 31116])).
% 20.74/14.40 tff(31119,plain,
% 20.74/14.40 ((~v19(constB176)) | v18(constB176)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31118, 2654, 31115])).
% 20.74/14.40 tff(31120,plain,
% 20.74/14.40 (~v19(constB176)),
% 20.74/14.40 inference(unit_resolution,[status(thm)],[31119, 31111])).
% 20.74/14.40 tff(31121,plain,
% 20.74/14.40 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176))),
% 20.83/14.40 inference(rewrite,[status(thm)],[])).
% 20.83/14.40 tff(31122,plain,
% 20.83/14.40 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))),
% 20.83/14.40 inference(quant_inst,[status(thm)],[])).
% 20.83/14.40 tff(31123,plain,
% 20.83/14.40 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176)),
% 20.83/14.40 inference(modus_ponens,[status(thm)],[31122, 31121])).
% 20.83/14.40 tff(31124,plain,
% 20.83/14.40 (v13(constB176)),
% 20.83/14.40 inference(unit_resolution,[status(thm)],[31123, 2669, 31120])).
% 20.83/14.40 tff(31125,plain,
% 20.83/14.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))),
% 20.83/14.40 inference(rewrite,[status(thm)],[])).
% 20.83/14.40 tff(31126,plain,
% 20.83/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175))),
% 20.83/14.40 inference(quant_inst,[status(thm)],[])).
% 20.83/14.40 tff(31127,plain,
% 20.83/14.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB175, constB176)) | (~v13(constB176)) | v9(constB175)),
% 20.83/14.40 inference(modus_ponens,[status(thm)],[31126, 31125])).
% 20.83/14.40 tff(31128,plain,
% 20.83/14.40 ((~v13(constB176)) | v9(constB175)),
% 20.83/14.40 inference(unit_resolution,[status(thm)],[31127, 2686, 20921])).
% 20.83/14.40 tff(31129,plain,
% 20.83/14.40 (v9(constB175)),
% 20.83/14.40 inference(unit_resolution,[status(thm)],[31128, 31124])).
% 20.83/14.40 tff(31130,plain,
% 20.83/14.40 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v141(constB175))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB175) | (~v9(constB175)) | v141(constB175))),
% 20.83/14.40 inference(rewrite,[status(thm)],[])).
% 20.83/14.40 tff(31131,plain,
% 20.83/14.40 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v141(constB175))),
% 20.83/14.40 inference(quant_inst,[status(thm)],[])).
% 20.83/14.40 tff(31132,plain,
% 20.83/14.40 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB175) | (~v9(constB175)) | v141(constB175)),
% 20.83/14.40 inference(modus_ponens,[status(thm)],[31131, 31130])).
% 20.83/14.40 tff(31133,plain,
% 20.83/14.40 ((~v9(constB175)) | v141(constB175)),
% 20.83/14.40 inference(unit_resolution,[status(thm)],[31132, 22396, 20799])).
% 20.83/14.40 tff(31134,plain,
% 20.83/14.40 (v141(constB175)),
% 20.83/14.40 inference(unit_resolution,[status(thm)],[31133, 31129])).
% 20.83/14.40 tff(31135,plain,
% 20.83/14.40 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB175) | (~v141(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB175) | (~v141(constB175)))),
% 20.83/14.40 inference(rewrite,[status(thm)],[])).
% 20.83/14.40 tff(31136,plain,
% 20.83/14.40 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB175) | (~v141(constB175)))),
% 20.83/14.40 inference(quant_inst,[status(thm)],[])).
% 20.83/14.40 tff(31137,plain,
% 20.83/14.40 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB175) | (~v141(constB175))),
% 20.83/14.40 inference(modus_ponens,[status(thm)],[31136, 31135])).
% 20.83/14.40 tff(31138,plain,
% 20.83/14.40 (v140(constB175)),
% 20.83/14.40 inference(unit_resolution,[status(thm)],[31137, 22408, 31134])).
% 20.83/14.40 tff(31139,plain,
% 20.83/14.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB175)) | (~v140(constB175)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB175)) | (~v140(constB175)))),
% 20.83/14.40 inference(rewrite,[status(thm)],[])).
% 20.83/14.40 tff(31140,plain,
% 20.83/14.40 (((~v140(constB175)) | (~v138(constB175))) <=> ((~v138(constB175)) | (~v140(constB175)))),
% 20.83/14.40 inference(rewrite,[status(thm)],[])).
% 20.83/14.40 tff(31141,plain,
% 20.83/14.40 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB175)) | (~v138(constB175)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB175)) | (~v140(constB175))))),
% 20.83/14.40 inference(monotonicity,[status(thm)],[31140])).
% 20.83/14.41 tff(31142,plain,
% 20.83/14.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB175)) | (~v138(constB175)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB175)) | (~v140(constB175)))),
% 20.83/14.41 inference(transitivity,[status(thm)],[31141, 31139])).
% 20.83/14.41 tff(31143,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB175)) | (~v138(constB175)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31144,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB175)) | (~v140(constB175))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31143, 31142])).
% 20.83/14.41 tff(31145,plain,
% 20.83/14.41 (~v138(constB175)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31144, 22419, 31138])).
% 20.83/14.41 tff(31146,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB175) | v142(constB175) | (~v135(constB175)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB175) | v142(constB175) | (~v135(constB175)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31147,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB175) | v142(constB175) | (~v135(constB175)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31148,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB175) | v142(constB175) | (~v135(constB175))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31147, 31146])).
% 20.83/14.41 tff(31149,plain,
% 20.83/14.41 (v142(constB175) | (~v135(constB175))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31148, 22436, 31145])).
% 20.83/14.41 tff(31150,plain,
% 20.83/14.41 (~v135(constB175)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31149, 31107])).
% 20.83/14.41 tff(31151,plain,
% 20.83/14.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB175, constB176)) | v135(constB175) | (~v137(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB175, constB176)) | v135(constB175) | (~v137(constB176)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31152,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB175, constB176)) | v135(constB175) | (~v137(constB176)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31153,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB175, constB176)) | v135(constB175) | (~v137(constB176))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31152, 31151])).
% 20.83/14.41 tff(31154,plain,
% 20.83/14.41 (v135(constB175) | (~v137(constB176))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31153, 22451, 20921])).
% 20.83/14.41 tff(31155,plain,
% 20.83/14.41 (~v137(constB176)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31154, 31150])).
% 20.83/14.41 tff(31156,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB176) | (~v138(constB176)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB176) | (~v138(constB176)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31157,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB176) | (~v138(constB176)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31158,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB176) | (~v138(constB176))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31157, 31156])).
% 20.83/14.41 tff(31159,plain,
% 20.83/14.41 (~v138(constB176)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31158, 22463, 31155])).
% 20.83/14.41 tff(31160,plain,
% 20.83/14.41 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB176)) | (~v141(constB176)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB176)) | (~v141(constB176)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31161,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB176)) | (~v141(constB176)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31162,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB176)) | (~v141(constB176))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31161, 31160])).
% 20.83/14.41 tff(31163,plain,
% 20.83/14.41 (~v141(constB176)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31162, 22474, 20941])).
% 20.83/14.41 tff(31164,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB176) | (~v144(constB176)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB176) | (~v144(constB176)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31165,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB176) | (~v144(constB176)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31166,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB176) | (~v144(constB176))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31165, 31164])).
% 20.83/14.41 tff(31167,plain,
% 20.83/14.41 (~v144(constB176)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31166, 22485, 31163])).
% 20.83/14.41 tff(31168,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB176) | (~v142(constB176)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB176) | (~v142(constB176)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31169,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB176) | (~v142(constB176)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31170,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB176) | (~v142(constB176))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 20.83/14.41 tff(31171,plain,
% 20.83/14.41 (~v142(constB176)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31170, 22360, 31167])).
% 20.83/14.41 tff(31172,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB176) | v142(constB176) | (~v135(constB176)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB176) | v142(constB176) | (~v135(constB176)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31173,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB176) | v142(constB176) | (~v135(constB176)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31174,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB176) | v142(constB176) | (~v135(constB176))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31173, 31172])).
% 20.83/14.41 tff(31175,plain,
% 20.83/14.41 (v138(constB176) | (~v135(constB176))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31174, 22436, 31171])).
% 20.83/14.41 tff(31176,plain,
% 20.83/14.41 (~v135(constB176)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31175, 31159])).
% 20.83/14.41 tff(31177,plain,
% 20.83/14.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB176, constB177)) | v135(constB176) | (~v137(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB176, constB177)) | v135(constB176) | (~v137(constB177)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31178,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB176, constB177)) | v135(constB176) | (~v137(constB177)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31179,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB176, constB177)) | v135(constB176) | (~v137(constB177))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31178, 31177])).
% 20.83/14.41 tff(31180,plain,
% 20.83/14.41 (v135(constB176) | (~v137(constB177))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31179, 22451, 20983])).
% 20.83/14.41 tff(31181,plain,
% 20.83/14.41 (~v137(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31180, 31176])).
% 20.83/14.41 tff(31182,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB177) | (~v153(constB177)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB177) | (~v153(constB177)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31183,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB177) | (~v153(constB177)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31184,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB177) | (~v153(constB177))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31183, 31182])).
% 20.83/14.41 tff(31185,plain,
% 20.83/14.41 (~v153(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31184, 22510, 31181])).
% 20.83/14.41 tff(31186,assumption,(v18(constB178)), introduced(assumption)).
% 20.83/14.41 tff(31187,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB178))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31188,plain,
% 20.83/14.41 ($false),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31187, 2627, 31186])).
% 20.83/14.41 tff(31189,plain,(~v18(constB178)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.41 tff(31190,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31191,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31192,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31191, 31190])).
% 20.83/14.41 tff(31193,plain,
% 20.83/14.41 (v22(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31192, 2640, 21127])).
% 20.83/14.41 tff(31194,plain,
% 20.83/14.41 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB178)) | (~v22(constB178)) | v18(constB178))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB178)) | (~v22(constB178)) | v18(constB178))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31195,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB178)) | (~v22(constB178)) | v18(constB178))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31196,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB178)) | (~v22(constB178)) | v18(constB178)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31195, 31194])).
% 20.83/14.41 tff(31197,plain,
% 20.83/14.41 ((~v19(constB178)) | v18(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31196, 2654, 31193])).
% 20.83/14.41 tff(31198,plain,
% 20.83/14.41 (~v19(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31197, 31189])).
% 20.83/14.41 tff(31199,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31200,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31201,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31200, 31199])).
% 20.83/14.41 tff(31202,plain,
% 20.83/14.41 (v13(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31201, 2669, 31198])).
% 20.83/14.41 tff(31203,plain,
% 20.83/14.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31204,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31205,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB177, constB178)) | (~v13(constB178)) | v9(constB177)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31204, 31203])).
% 20.83/14.41 tff(31206,plain,
% 20.83/14.41 ((~v13(constB178)) | v9(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31205, 2686, 21107])).
% 20.83/14.41 tff(31207,plain,
% 20.83/14.41 (v9(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31206, 31202])).
% 20.83/14.41 tff(31208,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v141(constB177))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB177) | (~v9(constB177)) | v141(constB177))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31209,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v141(constB177))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31210,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB177) | (~v9(constB177)) | v141(constB177)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31209, 31208])).
% 20.83/14.41 tff(31211,plain,
% 20.83/14.41 ((~v9(constB177)) | v141(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31210, 22396, 20980])).
% 20.83/14.41 tff(31212,plain,
% 20.83/14.41 (v141(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31211, 31207])).
% 20.83/14.41 tff(31213,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB177) | (~v141(constB177)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB177) | (~v141(constB177)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31214,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB177) | (~v141(constB177)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31215,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB177) | (~v141(constB177))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31214, 31213])).
% 20.83/14.41 tff(31216,plain,
% 20.83/14.41 (v140(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31215, 22408, 31212])).
% 20.83/14.41 tff(31217,plain,
% 20.83/14.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB177)) | (~v155(constB177)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB177)) | (~v155(constB177)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31218,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB177)) | (~v155(constB177)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31219,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB177)) | (~v155(constB177))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31218, 31217])).
% 20.83/14.41 tff(31220,plain,
% 20.83/14.41 (~v155(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31219, 22552, 31216])).
% 20.83/14.41 tff(31221,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB177) | v155(constB177) | (~v150(constB177)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB177) | v155(constB177) | (~v150(constB177)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31222,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB177) | v155(constB177) | (~v150(constB177)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31223,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB177) | v155(constB177) | (~v150(constB177))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31222, 31221])).
% 20.83/14.41 tff(31224,plain,
% 20.83/14.41 (v153(constB177) | (~v150(constB177))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31223, 22566, 31220])).
% 20.83/14.41 tff(31225,plain,
% 20.83/14.41 (~v150(constB177)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31224, 31185])).
% 20.83/14.41 tff(31226,plain,
% 20.83/14.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB177, constB178)) | v150(constB177) | (~v152(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB177, constB178)) | v150(constB177) | (~v152(constB178)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31227,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB177, constB178)) | v150(constB177) | (~v152(constB178)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31228,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB177, constB178)) | v150(constB177) | (~v152(constB178))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31227, 31226])).
% 20.83/14.41 tff(31229,plain,
% 20.83/14.41 (v150(constB177) | (~v152(constB178))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31228, 22581, 21107])).
% 20.83/14.41 tff(31230,plain,
% 20.83/14.41 (~v152(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31229, 31225])).
% 20.83/14.41 tff(31231,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB178) | (~v155(constB178)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB178) | (~v155(constB178)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31232,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB178) | (~v155(constB178)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31233,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB178) | (~v155(constB178))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31232, 31231])).
% 20.83/14.41 tff(31234,plain,
% 20.83/14.41 (~v155(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31233, 22593, 31230])).
% 20.83/14.41 tff(31235,plain,
% 20.83/14.41 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB178)) | (~v141(constB178)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB178)) | (~v141(constB178)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31236,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB178)) | (~v141(constB178)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31237,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB178)) | (~v141(constB178))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31236, 31235])).
% 20.83/14.41 tff(31238,plain,
% 20.83/14.41 (~v141(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31237, 22474, 21127])).
% 20.83/14.41 tff(31239,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB178) | (~v154(constB178)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB178) | (~v154(constB178)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31240,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB178) | (~v154(constB178)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31241,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB178) | (~v154(constB178))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31240, 31239])).
% 20.83/14.41 tff(31242,plain,
% 20.83/14.41 (~v154(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31241, 22608, 31238])).
% 20.83/14.41 tff(31243,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB178) | (~v153(constB178)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB178) | (~v153(constB178)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31244,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB178) | (~v153(constB178)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31245,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB178) | (~v153(constB178))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31244, 31243])).
% 20.83/14.41 tff(31246,plain,
% 20.83/14.41 (~v153(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31245, 22619, 31242])).
% 20.83/14.41 tff(31247,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB178) | v155(constB178) | (~v150(constB178)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB178) | v155(constB178) | (~v150(constB178)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31248,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB178) | v155(constB178) | (~v150(constB178)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31249,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB178) | v155(constB178) | (~v150(constB178))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31248, 31247])).
% 20.83/14.41 tff(31250,plain,
% 20.83/14.41 (v155(constB178) | (~v150(constB178))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31249, 22566, 31246])).
% 20.83/14.41 tff(31251,plain,
% 20.83/14.41 (~v150(constB178)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31250, 31234])).
% 20.83/14.41 tff(31252,plain,
% 20.83/14.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB178, constB179)) | v150(constB178) | (~v152(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB178, constB179)) | v150(constB178) | (~v152(constB179)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31253,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB178, constB179)) | v150(constB178) | (~v152(constB179)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31254,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB178, constB179)) | v150(constB178) | (~v152(constB179))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31253, 31252])).
% 20.83/14.41 tff(31255,plain,
% 20.83/14.41 (v150(constB178) | (~v152(constB179))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31254, 22581, 21169])).
% 20.83/14.41 tff(31256,plain,
% 20.83/14.41 (~v152(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31255, 31251])).
% 20.83/14.41 tff(31257,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB179) | (~v164(constB179)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB179) | (~v164(constB179)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31258,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB179) | (~v164(constB179)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31259,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB179) | (~v164(constB179))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31258, 31257])).
% 20.83/14.41 tff(31260,plain,
% 20.83/14.41 (~v164(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31259, 22640, 31256])).
% 20.83/14.41 tff(31261,assumption,(v18(constB180)), introduced(assumption)).
% 20.83/14.41 tff(31262,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB180))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31263,plain,
% 20.83/14.41 ($false),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31262, 2627, 31261])).
% 20.83/14.41 tff(31264,plain,(~v18(constB180)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.41 tff(31265,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31266,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31267,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31266, 31265])).
% 20.83/14.41 tff(31268,plain,
% 20.83/14.41 (v22(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31267, 2640, 21343])).
% 20.83/14.41 tff(31269,plain,
% 20.83/14.41 (((~![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))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31270,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB180)) | (~v22(constB180)) | v18(constB180))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31271,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB180)) | (~v22(constB180)) | v18(constB180)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31270, 31269])).
% 20.83/14.41 tff(31272,plain,
% 20.83/14.41 ((~v19(constB180)) | v18(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31271, 2654, 31268])).
% 20.83/14.41 tff(31273,plain,
% 20.83/14.41 (~v19(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31272, 31264])).
% 20.83/14.41 tff(31274,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31275,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31276,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31275, 31274])).
% 20.83/14.41 tff(31277,plain,
% 20.83/14.41 (v13(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31276, 2669, 31273])).
% 20.83/14.41 tff(31278,plain,
% 20.83/14.41 (((~![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))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31279,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31280,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB179, constB180)) | (~v13(constB180)) | v9(constB179)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31279, 31278])).
% 20.83/14.41 tff(31281,plain,
% 20.83/14.41 ((~v13(constB180)) | v9(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31280, 2686, 21323])).
% 20.83/14.41 tff(31282,plain,
% 20.83/14.41 (v9(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31281, 31277])).
% 20.83/14.41 tff(31283,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v141(constB179))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB179) | (~v9(constB179)) | v141(constB179))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31284,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v141(constB179))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31285,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB179) | (~v9(constB179)) | v141(constB179)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31284, 31283])).
% 20.83/14.41 tff(31286,plain,
% 20.83/14.41 ((~v9(constB179)) | v141(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31285, 22396, 21166])).
% 20.83/14.41 tff(31287,plain,
% 20.83/14.41 (v141(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31286, 31282])).
% 20.83/14.41 tff(31288,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB179) | (~v141(constB179)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB179) | (~v141(constB179)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31289,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB179) | (~v141(constB179)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31290,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB179) | (~v141(constB179))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31289, 31288])).
% 20.83/14.41 tff(31291,plain,
% 20.83/14.41 (v140(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31290, 22408, 31287])).
% 20.83/14.41 tff(31292,plain,
% 20.83/14.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB179)) | (~v163(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB179)) | (~v163(constB179)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31293,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB179)) | (~v163(constB179)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31294,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB179)) | (~v163(constB179))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31293, 31292])).
% 20.83/14.41 tff(31295,plain,
% 20.83/14.41 (~v163(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31294, 22781, 31291])).
% 20.83/14.41 tff(31296,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB179)) | v163(constB179) | v164(constB179))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB179)) | v163(constB179) | v164(constB179))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31297,plain,
% 20.83/14.41 ((v164(constB179) | v163(constB179) | (~v160(constB179))) <=> ((~v160(constB179)) | v163(constB179) | v164(constB179))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31298,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB179) | v163(constB179) | (~v160(constB179)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB179)) | v163(constB179) | v164(constB179)))),
% 20.83/14.41 inference(monotonicity,[status(thm)],[31297])).
% 20.83/14.41 tff(31299,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB179) | v163(constB179) | (~v160(constB179)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB179)) | v163(constB179) | v164(constB179))),
% 20.83/14.41 inference(transitivity,[status(thm)],[31298, 31296])).
% 20.83/14.41 tff(31300,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB179) | v163(constB179) | (~v160(constB179)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31301,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB179)) | v163(constB179) | v164(constB179)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31300, 31299])).
% 20.83/14.41 tff(31302,plain,
% 20.83/14.41 ((~v160(constB179)) | v164(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31301, 22795, 31295])).
% 20.83/14.41 tff(31303,plain,
% 20.83/14.41 (~v160(constB179)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31302, 31260])).
% 20.83/14.41 tff(31304,plain,
% 20.83/14.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB179, constB180)) | v160(constB179) | (~v162(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB179, constB180)) | v160(constB179) | (~v162(constB180)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31305,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB179, constB180)) | v160(constB179) | (~v162(constB180)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31306,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB179, constB180)) | v160(constB179) | (~v162(constB180))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31305, 31304])).
% 20.83/14.41 tff(31307,plain,
% 20.83/14.41 (v160(constB179) | (~v162(constB180))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31306, 22813, 21323])).
% 20.83/14.41 tff(31308,plain,
% 20.83/14.41 (~v162(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31307, 31303])).
% 20.83/14.41 tff(31309,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB180) | (~v163(constB180)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB180) | (~v163(constB180)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31310,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB180) | (~v163(constB180)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31311,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB180) | (~v163(constB180))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31310, 31309])).
% 20.83/14.41 tff(31312,plain,
% 20.83/14.41 (~v163(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31311, 22825, 31308])).
% 20.83/14.41 tff(31313,plain,
% 20.83/14.41 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB180)) | (~v141(constB180)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB180)) | (~v141(constB180)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31314,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB180)) | (~v141(constB180)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31315,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB180)) | (~v141(constB180))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31314, 31313])).
% 20.83/14.41 tff(31316,plain,
% 20.83/14.41 (~v141(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31315, 22474, 21343])).
% 20.83/14.41 tff(31317,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB180) | (~v154(constB180)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB180) | (~v154(constB180)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31318,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB180) | (~v154(constB180)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31319,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB180) | (~v154(constB180))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31318, 31317])).
% 20.83/14.41 tff(31320,plain,
% 20.83/14.41 (~v154(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31319, 22608, 31316])).
% 20.83/14.41 tff(31321,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB180) | (~v164(constB180)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB180) | (~v164(constB180)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31322,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB180) | (~v164(constB180)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31323,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB180) | (~v164(constB180))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31322, 31321])).
% 20.83/14.41 tff(31324,plain,
% 20.83/14.41 (~v164(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31323, 22836, 31320])).
% 20.83/14.41 tff(31325,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB180)) | v164(constB180) | v163(constB180))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB180)) | v164(constB180) | v163(constB180))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31326,plain,
% 20.83/14.41 ((v164(constB180) | v163(constB180) | (~v160(constB180))) <=> ((~v160(constB180)) | v164(constB180) | v163(constB180))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31327,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB180) | v163(constB180) | (~v160(constB180)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB180)) | v164(constB180) | v163(constB180)))),
% 20.83/14.41 inference(monotonicity,[status(thm)],[31326])).
% 20.83/14.41 tff(31328,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB180) | v163(constB180) | (~v160(constB180)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB180)) | v164(constB180) | v163(constB180))),
% 20.83/14.41 inference(transitivity,[status(thm)],[31327, 31325])).
% 20.83/14.41 tff(31329,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB180) | v163(constB180) | (~v160(constB180)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31330,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB180)) | v164(constB180) | v163(constB180)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31329, 31328])).
% 20.83/14.41 tff(31331,plain,
% 20.83/14.41 ((~v160(constB180)) | v163(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31330, 22795, 31324])).
% 20.83/14.41 tff(31332,plain,
% 20.83/14.41 (~v160(constB180)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31331, 31312])).
% 20.83/14.41 tff(31333,plain,
% 20.83/14.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB180, constB181)) | v160(constB180) | (~v162(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB180, constB181)) | v160(constB180) | (~v162(constB181)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31334,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB180, constB181)) | v160(constB180) | (~v162(constB181)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31335,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB180, constB181)) | v160(constB180) | (~v162(constB181))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31334, 31333])).
% 20.83/14.41 tff(31336,plain,
% 20.83/14.41 (v160(constB180) | (~v162(constB181))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31335, 22813, 21385])).
% 20.83/14.41 tff(31337,plain,
% 20.83/14.41 (~v162(constB181)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31336, 31332])).
% 20.83/14.41 tff(31338,plain,
% 20.83/14.41 ($false),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31337, 31095])).
% 20.83/14.41 tff(31339,plain,(~(constB181 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.41 tff(31340,assumption,(constB151 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.41 tff(31341,plain,
% 20.83/14.41 (v162(constB151) <=> v162(sK0_VarCurr)),
% 20.83/14.41 inference(monotonicity,[status(thm)],[31340])).
% 20.83/14.41 tff(31342,plain,
% 20.83/14.41 (v162(sK0_VarCurr) <=> v162(constB151)),
% 20.83/14.41 inference(symmetry,[status(thm)],[31341])).
% 20.83/14.41 tff(31343,plain,
% 20.83/14.41 (v162(constB151)),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[22337, 31342])).
% 20.83/14.41 tff(31344,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB145) | (~v144(constB145)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31345,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB145) | (~v144(constB145)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31346,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB145) | (~v144(constB145))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31345, 31344])).
% 20.83/14.41 tff(31347,plain,
% 20.83/14.41 (~v144(constB145)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31346, 22349, 17886])).
% 20.83/14.41 tff(31348,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB145) | (~v142(constB145)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31349,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB145) | (~v142(constB145)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31350,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB145) | (~v142(constB145))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31349, 31348])).
% 20.83/14.41 tff(31351,plain,
% 20.83/14.41 (~v142(constB145)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31350, 22360, 31347])).
% 20.83/14.41 tff(31352,plain,
% 20.83/14.41 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB145)) | (~v138(constB145)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB145)) | (~v138(constB145)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31353,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB145)) | (~v138(constB145)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31354,plain,
% 20.83/14.41 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB145)) | (~v138(constB145))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31353, 31352])).
% 20.83/14.41 tff(31355,plain,
% 20.83/14.41 (~v138(constB145)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31354, 22419, 24416])).
% 20.83/14.41 tff(31356,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB145) | v142(constB145) | (~v135(constB145)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB145) | v142(constB145) | (~v135(constB145)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31357,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB145) | v142(constB145) | (~v135(constB145)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31358,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB145) | v142(constB145) | (~v135(constB145))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31357, 31356])).
% 20.83/14.41 tff(31359,plain,
% 20.83/14.41 (v142(constB145) | (~v135(constB145))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31358, 22436, 31355])).
% 20.83/14.41 tff(31360,plain,
% 20.83/14.41 (~v135(constB145)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31359, 31351])).
% 20.83/14.41 tff(31361,plain,
% 20.83/14.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31362,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31363,plain,
% 20.83/14.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31362, 31361])).
% 20.83/14.41 tff(31364,plain,
% 20.83/14.41 (v135(constB145) | (~v137(constB146))),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31363, 22451, 17828])).
% 20.83/14.41 tff(31365,plain,
% 20.83/14.41 (~v137(constB146)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31364, 31360])).
% 20.83/14.41 tff(31366,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB146) | (~v138(constB146)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB146) | (~v138(constB146)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31367,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB146) | (~v138(constB146)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31368,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB146) | (~v138(constB146))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31367, 31366])).
% 20.83/14.41 tff(31369,plain,
% 20.83/14.41 (~v138(constB146)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31368, 22463, 31365])).
% 20.83/14.41 tff(31370,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB146) | (~v144(constB146)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB146) | (~v144(constB146)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31371,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB146) | (~v144(constB146)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31372,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB146) | (~v144(constB146))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31371, 31370])).
% 20.83/14.41 tff(31373,plain,
% 20.83/14.41 (~v144(constB146)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31372, 22485, 24441])).
% 20.83/14.41 tff(31374,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB146) | (~v142(constB146)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB146) | (~v142(constB146)))),
% 20.83/14.41 inference(rewrite,[status(thm)],[])).
% 20.83/14.41 tff(31375,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB146) | (~v142(constB146)))),
% 20.83/14.41 inference(quant_inst,[status(thm)],[])).
% 20.83/14.41 tff(31376,plain,
% 20.83/14.41 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB146) | (~v142(constB146))),
% 20.83/14.41 inference(modus_ponens,[status(thm)],[31375, 31374])).
% 20.83/14.41 tff(31377,plain,
% 20.83/14.41 (~v142(constB146)),
% 20.83/14.41 inference(unit_resolution,[status(thm)],[31376, 22360, 31373])).
% 20.83/14.41 tff(31378,plain,
% 20.83/14.41 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB146) | v142(constB146) | (~v135(constB146)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB146) | v142(constB146) | (~v135(constB146)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31379,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB146) | v142(constB146) | (~v135(constB146)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31380,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB146) | v142(constB146) | (~v135(constB146))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31379, 31378])).
% 20.83/14.42 tff(31381,plain,
% 20.83/14.42 (v138(constB146) | (~v135(constB146))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31380, 22436, 31377])).
% 20.83/14.42 tff(31382,plain,
% 20.83/14.42 (~v135(constB146)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31381, 31369])).
% 20.83/14.42 tff(31383,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31384,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31385,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31384, 31383])).
% 20.83/14.42 tff(31386,plain,
% 20.83/14.42 (v135(constB146) | (~v137(constB147))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31385, 22451, 17920])).
% 20.83/14.42 tff(31387,plain,
% 20.83/14.42 (~v137(constB147)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31386, 31382])).
% 20.83/14.42 tff(31388,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB147) | (~v153(constB147)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB147) | (~v153(constB147)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31389,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB147) | (~v153(constB147)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31390,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB147) | (~v153(constB147))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31389, 31388])).
% 20.83/14.42 tff(31391,plain,
% 20.83/14.42 (~v153(constB147)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31390, 22510, 31387])).
% 20.83/14.42 tff(31392,plain,
% 20.83/14.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB147)) | (~v155(constB147)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB147)) | (~v155(constB147)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31393,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB147)) | (~v155(constB147)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31394,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB147)) | (~v155(constB147))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31393, 31392])).
% 20.83/14.42 tff(31395,plain,
% 20.83/14.42 (~v155(constB147)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31394, 22552, 28768])).
% 20.83/14.42 tff(31396,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB147) | v155(constB147) | (~v150(constB147)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB147) | v155(constB147) | (~v150(constB147)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31397,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB147) | v155(constB147) | (~v150(constB147)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31398,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB147) | v155(constB147) | (~v150(constB147))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31397, 31396])).
% 20.83/14.42 tff(31399,plain,
% 20.83/14.42 (v153(constB147) | (~v150(constB147))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31398, 22566, 31395])).
% 20.83/14.42 tff(31400,plain,
% 20.83/14.42 (~v150(constB147)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31399, 31391])).
% 20.83/14.42 tff(31401,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31402,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31403,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31402, 31401])).
% 20.83/14.42 tff(31404,plain,
% 20.83/14.42 (v150(constB147) | (~v152(constB148))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31403, 22581, 18052])).
% 20.83/14.42 tff(31405,plain,
% 20.83/14.42 (~v152(constB148)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31404, 31400])).
% 20.83/14.42 tff(31406,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB148) | (~v155(constB148)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB148) | (~v155(constB148)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31407,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB148) | (~v155(constB148)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31408,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB148) | (~v155(constB148))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31407, 31406])).
% 20.83/14.42 tff(31409,plain,
% 20.83/14.42 (~v155(constB148)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31408, 22593, 31405])).
% 20.83/14.42 tff(31410,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB148) | (~v153(constB148)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB148) | (~v153(constB148)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31411,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB148) | (~v153(constB148)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31412,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB148) | (~v153(constB148))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31411, 31410])).
% 20.83/14.42 tff(31413,plain,
% 20.83/14.42 (~v153(constB148)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31412, 22619, 28797])).
% 20.83/14.42 tff(31414,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB148) | v155(constB148) | (~v150(constB148)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB148) | v155(constB148) | (~v150(constB148)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31415,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB148) | v155(constB148) | (~v150(constB148)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31416,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB148) | v155(constB148) | (~v150(constB148))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31415, 31414])).
% 20.83/14.42 tff(31417,plain,
% 20.83/14.42 (v155(constB148) | (~v150(constB148))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31416, 22566, 31413])).
% 20.83/14.42 tff(31418,plain,
% 20.83/14.42 (~v150(constB148)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31417, 31409])).
% 20.83/14.42 tff(31419,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31420,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31421,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31420, 31419])).
% 20.83/14.42 tff(31422,plain,
% 20.83/14.42 (v150(constB148) | (~v152(constB149))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31421, 22581, 18117])).
% 20.83/14.42 tff(31423,plain,
% 20.83/14.42 (~v152(constB149)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31422, 31418])).
% 20.83/14.42 tff(31424,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB149) | (~v164(constB149)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB149) | (~v164(constB149)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31425,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB149) | (~v164(constB149)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31426,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB149) | (~v164(constB149))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31425, 31424])).
% 20.83/14.42 tff(31427,plain,
% 20.83/14.42 (~v164(constB149)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31426, 22640, 31423])).
% 20.83/14.42 tff(31428,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB149) | (~v163(constB149)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB149) | (~v163(constB149)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31429,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB149) | (~v163(constB149)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31430,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB149) | (~v163(constB149))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31429, 31428])).
% 20.83/14.42 tff(31431,plain,
% 20.83/14.42 (~v163(constB149)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31430, 22825, 28814])).
% 20.83/14.42 tff(31432,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB149)) | v163(constB149) | v164(constB149))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB149)) | v163(constB149) | v164(constB149))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31433,plain,
% 20.83/14.42 ((v164(constB149) | v163(constB149) | (~v160(constB149))) <=> ((~v160(constB149)) | v163(constB149) | v164(constB149))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31434,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB149) | v163(constB149) | (~v160(constB149)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB149)) | v163(constB149) | v164(constB149)))),
% 20.83/14.42 inference(monotonicity,[status(thm)],[31433])).
% 20.83/14.42 tff(31435,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB149) | v163(constB149) | (~v160(constB149)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB149)) | v163(constB149) | v164(constB149))),
% 20.83/14.42 inference(transitivity,[status(thm)],[31434, 31432])).
% 20.83/14.42 tff(31436,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB149) | v163(constB149) | (~v160(constB149)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31437,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB149)) | v163(constB149) | v164(constB149)),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31436, 31435])).
% 20.83/14.42 tff(31438,plain,
% 20.83/14.42 ((~v160(constB149)) | v164(constB149)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31437, 22795, 31431])).
% 20.83/14.42 tff(31439,plain,
% 20.83/14.42 (~v160(constB149)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31438, 31427])).
% 20.83/14.42 tff(31440,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31441,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31442,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31441, 31440])).
% 20.83/14.42 tff(31443,plain,
% 20.83/14.42 (v160(constB149) | (~v162(constB150))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31442, 22813, 18242])).
% 20.83/14.42 tff(31444,plain,
% 20.83/14.42 (~v162(constB150)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31443, 31439])).
% 20.83/14.42 tff(31445,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB150) | (~v163(constB150)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB150) | (~v163(constB150)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31446,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB150) | (~v163(constB150)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31447,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB150) | (~v163(constB150))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31446, 31445])).
% 20.83/14.42 tff(31448,plain,
% 20.83/14.42 (~v163(constB150)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31447, 22825, 31444])).
% 20.83/14.42 tff(31449,plain,
% 20.83/14.42 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB150)) | (~v141(constB150)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB150)) | (~v141(constB150)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31450,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB150)) | (~v141(constB150)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31451,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB150)) | (~v141(constB150))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31450, 31449])).
% 20.83/14.42 tff(31452,plain,
% 20.83/14.42 (~v141(constB150)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31451, 22474, 18262])).
% 20.83/14.42 tff(31453,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB150) | (~v154(constB150)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB150) | (~v154(constB150)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31454,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB150) | (~v154(constB150)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31455,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB150) | (~v154(constB150))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31454, 31453])).
% 20.83/14.42 tff(31456,plain,
% 20.83/14.42 (~v154(constB150)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31455, 22608, 31452])).
% 20.83/14.42 tff(31457,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB150) | (~v164(constB150)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB150) | (~v164(constB150)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31458,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB150) | (~v164(constB150)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31459,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB150) | (~v164(constB150))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31458, 31457])).
% 20.83/14.42 tff(31460,plain,
% 20.83/14.42 (~v164(constB150)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31459, 22836, 31456])).
% 20.83/14.42 tff(31461,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB150)) | v164(constB150) | v163(constB150))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB150)) | v164(constB150) | v163(constB150))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31462,plain,
% 20.83/14.42 ((v164(constB150) | v163(constB150) | (~v160(constB150))) <=> ((~v160(constB150)) | v164(constB150) | v163(constB150))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31463,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB150) | v163(constB150) | (~v160(constB150)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB150)) | v164(constB150) | v163(constB150)))),
% 20.83/14.42 inference(monotonicity,[status(thm)],[31462])).
% 20.83/14.42 tff(31464,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB150) | v163(constB150) | (~v160(constB150)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB150)) | v164(constB150) | v163(constB150))),
% 20.83/14.42 inference(transitivity,[status(thm)],[31463, 31461])).
% 20.83/14.42 tff(31465,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB150) | v163(constB150) | (~v160(constB150)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31466,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB150)) | v164(constB150) | v163(constB150)),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31465, 31464])).
% 20.83/14.42 tff(31467,plain,
% 20.83/14.42 ((~v160(constB150)) | v163(constB150)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31466, 22795, 31460])).
% 20.83/14.42 tff(31468,plain,
% 20.83/14.42 (~v160(constB150)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31467, 31448])).
% 20.83/14.42 tff(31469,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31470,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31471,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31470, 31469])).
% 20.83/14.42 tff(31472,plain,
% 20.83/14.42 (v160(constB150) | (~v162(constB151))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31471, 22813, 18307])).
% 20.83/14.42 tff(31473,plain,
% 20.83/14.42 (~v162(constB151)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31472, 31468])).
% 20.83/14.42 tff(31474,plain,
% 20.83/14.42 ($false),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31473, 31343])).
% 20.83/14.42 tff(31475,plain,(~(constB151 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.42 tff(31476,assumption,(constB185 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.42 tff(31477,plain,
% 20.83/14.42 (v162(constB185) <=> v162(sK0_VarCurr)),
% 20.83/14.42 inference(monotonicity,[status(thm)],[31476])).
% 20.83/14.42 tff(31478,plain,
% 20.83/14.42 (v162(sK0_VarCurr) <=> v162(constB185)),
% 20.83/14.42 inference(symmetry,[status(thm)],[31477])).
% 20.83/14.42 tff(31479,plain,
% 20.83/14.42 (v162(constB185)),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[22337, 31478])).
% 20.83/14.42 tff(31480,plain,
% 20.83/14.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB179, bitIndex2)) | (~v145(constB179)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB179, bitIndex2)) | (~v145(constB179)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31481,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB179, bitIndex2)) | (~v145(constB179)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31482,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB179, bitIndex2)) | (~v145(constB179))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31481, 31480])).
% 20.83/14.42 tff(31483,plain,
% 20.83/14.42 (~v145(constB179)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31482, 10327, 21294])).
% 20.83/14.42 tff(31484,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB179) | (~v144(constB179)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB179) | (~v144(constB179)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31485,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB179) | (~v144(constB179)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31486,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB179) | (~v144(constB179))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31485, 31484])).
% 20.83/14.42 tff(31487,plain,
% 20.83/14.42 (~v144(constB179)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31486, 22349, 31483])).
% 20.83/14.42 tff(31488,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB179) | (~v142(constB179)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31489,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB179) | (~v142(constB179)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31490,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB179) | (~v142(constB179))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31489, 31488])).
% 20.83/14.42 tff(31491,plain,
% 20.83/14.42 (~v142(constB179)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31490, 22360, 31487])).
% 20.83/14.42 tff(31492,plain,
% 20.83/14.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB179)) | (~v140(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB179)) | (~v140(constB179)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31493,plain,
% 20.83/14.42 (((~v140(constB179)) | (~v138(constB179))) <=> ((~v138(constB179)) | (~v140(constB179)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31494,plain,
% 20.83/14.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB179)) | (~v138(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB179)) | (~v140(constB179))))),
% 20.83/14.42 inference(monotonicity,[status(thm)],[31493])).
% 20.83/14.42 tff(31495,plain,
% 20.83/14.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB179)) | (~v138(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB179)) | (~v140(constB179)))),
% 20.83/14.42 inference(transitivity,[status(thm)],[31494, 31492])).
% 20.83/14.42 tff(31496,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB179)) | (~v138(constB179)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31497,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB179)) | (~v140(constB179))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31496, 31495])).
% 20.83/14.42 tff(31498,plain,
% 20.83/14.42 (~v138(constB179)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31497, 22419, 31291])).
% 20.83/14.42 tff(31499,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB179) | v142(constB179) | (~v135(constB179)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB179) | v142(constB179) | (~v135(constB179)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31500,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB179) | v142(constB179) | (~v135(constB179)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31501,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB179) | v142(constB179) | (~v135(constB179))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31500, 31499])).
% 20.83/14.42 tff(31502,plain,
% 20.83/14.42 (v142(constB179) | (~v135(constB179))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31501, 22436, 31498])).
% 20.83/14.42 tff(31503,plain,
% 20.83/14.42 (~v135(constB179)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31502, 31491])).
% 20.83/14.42 tff(31504,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31505,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31506,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31505, 31504])).
% 20.83/14.42 tff(31507,plain,
% 20.83/14.42 (v135(constB179) | (~v137(constB180))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31506, 22451, 21323])).
% 20.83/14.42 tff(31508,plain,
% 20.83/14.42 (~v137(constB180)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31507, 31503])).
% 20.83/14.42 tff(31509,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB180) | (~v138(constB180)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB180) | (~v138(constB180)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31510,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB180) | (~v138(constB180)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31511,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB180) | (~v138(constB180))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31510, 31509])).
% 20.83/14.42 tff(31512,plain,
% 20.83/14.42 (~v138(constB180)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31511, 22463, 31508])).
% 20.83/14.42 tff(31513,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB180) | (~v144(constB180)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB180) | (~v144(constB180)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31514,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB180) | (~v144(constB180)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31515,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB180) | (~v144(constB180))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31514, 31513])).
% 20.83/14.42 tff(31516,plain,
% 20.83/14.42 (~v144(constB180)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31515, 22485, 31316])).
% 20.83/14.42 tff(31517,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB180) | (~v142(constB180)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB180) | (~v142(constB180)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31518,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB180) | (~v142(constB180)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31519,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB180) | (~v142(constB180))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31518, 31517])).
% 20.83/14.42 tff(31520,plain,
% 20.83/14.42 (~v142(constB180)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31519, 22360, 31516])).
% 20.83/14.42 tff(31521,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB180) | v142(constB180) | (~v135(constB180)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB180) | v142(constB180) | (~v135(constB180)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31522,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB180) | v142(constB180) | (~v135(constB180)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31523,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB180) | v142(constB180) | (~v135(constB180))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31522, 31521])).
% 20.83/14.42 tff(31524,plain,
% 20.83/14.42 (v138(constB180) | (~v135(constB180))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31523, 22436, 31520])).
% 20.83/14.42 tff(31525,plain,
% 20.83/14.42 (~v135(constB180)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31524, 31512])).
% 20.83/14.42 tff(31526,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31527,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31528,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31527, 31526])).
% 20.83/14.42 tff(31529,plain,
% 20.83/14.42 (v135(constB180) | (~v137(constB181))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31528, 22451, 21385])).
% 20.83/14.42 tff(31530,plain,
% 20.83/14.42 (~v137(constB181)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31529, 31525])).
% 20.83/14.42 tff(31531,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB181) | (~v153(constB181)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB181) | (~v153(constB181)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31532,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB181) | (~v153(constB181)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31533,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB181) | (~v153(constB181))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31532, 31531])).
% 20.83/14.42 tff(31534,plain,
% 20.83/14.42 (~v153(constB181)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31533, 22510, 31530])).
% 20.83/14.42 tff(31535,plain,
% 20.83/14.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB181)) | (~v155(constB181)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB181)) | (~v155(constB181)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31536,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB181)) | (~v155(constB181)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31537,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB181)) | (~v155(constB181))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31536, 31535])).
% 20.83/14.42 tff(31538,plain,
% 20.83/14.42 (~v155(constB181)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31537, 22552, 29766])).
% 20.83/14.42 tff(31539,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB181) | v155(constB181) | (~v150(constB181)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB181) | v155(constB181) | (~v150(constB181)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31540,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB181) | v155(constB181) | (~v150(constB181)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31541,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB181) | v155(constB181) | (~v150(constB181))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31540, 31539])).
% 20.83/14.42 tff(31542,plain,
% 20.83/14.42 (v153(constB181) | (~v150(constB181))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31541, 22566, 31538])).
% 20.83/14.42 tff(31543,plain,
% 20.83/14.42 (~v150(constB181)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31542, 31534])).
% 20.83/14.42 tff(31544,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31545,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31546,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31545, 31544])).
% 20.83/14.42 tff(31547,plain,
% 20.83/14.42 (v150(constB181) | (~v152(constB182))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31546, 22581, 21498])).
% 20.83/14.42 tff(31548,plain,
% 20.83/14.42 (~v152(constB182)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31547, 31543])).
% 20.83/14.42 tff(31549,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB182) | (~v155(constB182)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB182) | (~v155(constB182)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31550,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB182) | (~v155(constB182)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31551,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB182) | (~v155(constB182))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31550, 31549])).
% 20.83/14.42 tff(31552,plain,
% 20.83/14.42 (~v155(constB182)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31551, 22593, 31548])).
% 20.83/14.42 tff(31553,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB182) | (~v154(constB182)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB182) | (~v154(constB182)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31554,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB182) | (~v154(constB182)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31555,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB182) | (~v154(constB182))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31554, 31553])).
% 20.83/14.42 tff(31556,plain,
% 20.83/14.42 (~v154(constB182)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31555, 22608, 29791])).
% 20.83/14.42 tff(31557,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB182) | (~v153(constB182)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB182) | (~v153(constB182)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31558,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB182) | (~v153(constB182)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31559,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB182) | (~v153(constB182))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31558, 31557])).
% 20.83/14.42 tff(31560,plain,
% 20.83/14.42 (~v153(constB182)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31559, 22619, 31556])).
% 20.83/14.42 tff(31561,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB182) | v155(constB182) | (~v150(constB182)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB182) | v155(constB182) | (~v150(constB182)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31562,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB182) | v155(constB182) | (~v150(constB182)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31563,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB182) | v155(constB182) | (~v150(constB182))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31562, 31561])).
% 20.83/14.42 tff(31564,plain,
% 20.83/14.42 (v155(constB182) | (~v150(constB182))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31563, 22566, 31560])).
% 20.83/14.42 tff(31565,plain,
% 20.83/14.42 (~v150(constB182)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31564, 31552])).
% 20.83/14.42 tff(31566,plain,
% 20.83/14.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31567,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31568,plain,
% 20.83/14.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31567, 31566])).
% 20.83/14.42 tff(31569,plain,
% 20.83/14.42 (v150(constB182) | (~v152(constB183))),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31568, 22581, 21590])).
% 20.83/14.42 tff(31570,plain,
% 20.83/14.42 (~v152(constB183)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31569, 31565])).
% 20.83/14.42 tff(31571,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB183) | (~v164(constB183)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB183) | (~v164(constB183)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31572,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB183) | (~v164(constB183)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31573,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB183) | (~v164(constB183))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31572, 31571])).
% 20.83/14.42 tff(31574,plain,
% 20.83/14.42 (~v164(constB183)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31573, 22640, 31570])).
% 20.83/14.42 tff(31575,plain,
% 20.83/14.42 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB183)) | (~v163(constB183)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB183)) | (~v163(constB183)))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31576,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB183)) | (~v163(constB183)))),
% 20.83/14.42 inference(quant_inst,[status(thm)],[])).
% 20.83/14.42 tff(31577,plain,
% 20.83/14.42 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB183)) | (~v163(constB183))),
% 20.83/14.42 inference(modus_ponens,[status(thm)],[31576, 31575])).
% 20.83/14.42 tff(31578,plain,
% 20.83/14.42 (~v163(constB183)),
% 20.83/14.42 inference(unit_resolution,[status(thm)],[31577, 22781, 29844])).
% 20.83/14.42 tff(31579,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB183)) | v164(constB183) | v163(constB183))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB183)) | v164(constB183) | v163(constB183))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31580,plain,
% 20.83/14.42 ((v164(constB183) | v163(constB183) | (~v160(constB183))) <=> ((~v160(constB183)) | v164(constB183) | v163(constB183))),
% 20.83/14.42 inference(rewrite,[status(thm)],[])).
% 20.83/14.42 tff(31581,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB183) | v163(constB183) | (~v160(constB183)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB183)) | v164(constB183) | v163(constB183)))),
% 20.83/14.42 inference(monotonicity,[status(thm)],[31580])).
% 20.83/14.42 tff(31582,plain,
% 20.83/14.42 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB183) | v163(constB183) | (~v160(constB183)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB183)) | v164(constB183) | v163(constB183))),
% 20.83/14.42 inference(transitivity,[status(thm)],[31581, 31579])).
% 20.83/14.42 tff(31583,plain,
% 20.83/14.42 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB183) | v163(constB183) | (~v160(constB183)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31584,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB183)) | v164(constB183) | v163(constB183)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31583, 31582])).
% 20.83/14.43 tff(31585,plain,
% 20.83/14.43 ((~v160(constB183)) | v164(constB183)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31584, 22795, 31578])).
% 20.83/14.43 tff(31586,plain,
% 20.83/14.43 (~v160(constB183)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31585, 31574])).
% 20.83/14.43 tff(31587,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31588,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31589,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31588, 31587])).
% 20.83/14.43 tff(31590,plain,
% 20.83/14.43 (v160(constB183) | (~v162(constB184))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31589, 22813, 21729])).
% 20.83/14.43 tff(31591,plain,
% 20.83/14.43 (~v162(constB184)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31590, 31586])).
% 20.83/14.43 tff(31592,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB184) | (~v163(constB184)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB184) | (~v163(constB184)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31593,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB184) | (~v163(constB184)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31594,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB184) | (~v163(constB184))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31593, 31592])).
% 20.83/14.43 tff(31595,plain,
% 20.83/14.43 (~v163(constB184)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31594, 22825, 31591])).
% 20.83/14.43 tff(31596,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB184) | (~v164(constB184)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB184) | (~v164(constB184)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31597,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB184) | (~v164(constB184)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31598,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB184) | (~v164(constB184))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31597, 31596])).
% 20.83/14.43 tff(31599,plain,
% 20.83/14.43 (~v164(constB184)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31598, 22836, 29870])).
% 20.83/14.43 tff(31600,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB184)) | v164(constB184) | v163(constB184))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB184)) | v164(constB184) | v163(constB184))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31601,plain,
% 20.83/14.43 ((v164(constB184) | v163(constB184) | (~v160(constB184))) <=> ((~v160(constB184)) | v164(constB184) | v163(constB184))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31602,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB184) | v163(constB184) | (~v160(constB184)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB184)) | v164(constB184) | v163(constB184)))),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31601])).
% 20.83/14.43 tff(31603,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB184) | v163(constB184) | (~v160(constB184)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB184)) | v164(constB184) | v163(constB184))),
% 20.83/14.43 inference(transitivity,[status(thm)],[31602, 31600])).
% 20.83/14.43 tff(31604,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB184) | v163(constB184) | (~v160(constB184)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31605,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB184)) | v164(constB184) | v163(constB184)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31604, 31603])).
% 20.83/14.43 tff(31606,plain,
% 20.83/14.43 ((~v160(constB184)) | v163(constB184)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31605, 22795, 31599])).
% 20.83/14.43 tff(31607,plain,
% 20.83/14.43 (~v160(constB184)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31606, 31595])).
% 20.83/14.43 tff(31608,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31609,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31610,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31609, 31608])).
% 20.83/14.43 tff(31611,plain,
% 20.83/14.43 (v160(constB184) | (~v162(constB185))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31610, 22813, 21794])).
% 20.83/14.43 tff(31612,plain,
% 20.83/14.43 (~v162(constB185)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31611, 31607])).
% 20.83/14.43 tff(31613,plain,
% 20.83/14.43 ($false),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31612, 31479])).
% 20.83/14.43 tff(31614,plain,(~(constB185 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.43 tff(31615,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.43 tff(31616,plain,
% 20.83/14.43 (v1(constB46) <=> v1(sK0_VarCurr)),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31615])).
% 20.83/14.43 tff(31617,plain,
% 20.83/14.43 (v1(sK0_VarCurr) <=> v1(constB46)),
% 20.83/14.43 inference(symmetry,[status(thm)],[31616])).
% 20.83/14.43 tff(31618,plain,
% 20.83/14.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31617])).
% 20.83/14.43 tff(31619,plain,
% 20.83/14.43 (~v1(constB46)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[23510, 31618])).
% 20.83/14.43 tff(31620,plain,
% 20.83/14.43 ($false),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[5458, 31619])).
% 20.83/14.43 tff(31621,plain,(~(constB46 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.43 tff(31622,assumption,(constB48 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.43 tff(31623,plain,
% 20.83/14.43 (v1(constB48) <=> v1(sK0_VarCurr)),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31622])).
% 20.83/14.43 tff(31624,plain,
% 20.83/14.43 (v1(sK0_VarCurr) <=> v1(constB48)),
% 20.83/14.43 inference(symmetry,[status(thm)],[31623])).
% 20.83/14.43 tff(31625,plain,
% 20.83/14.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB48))),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31624])).
% 20.83/14.43 tff(31626,plain,
% 20.83/14.43 (~v1(constB48)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[23510, 31625])).
% 20.83/14.43 tff(31627,plain,
% 20.83/14.43 ($false),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[5700, 31626])).
% 20.83/14.43 tff(31628,plain,(~(constB48 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.43 tff(31629,assumption,(constB125 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.43 tff(31630,plain,
% 20.83/14.43 (v162(constB125) <=> v162(sK0_VarCurr)),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31629])).
% 20.83/14.43 tff(31631,plain,
% 20.83/14.43 (v162(sK0_VarCurr) <=> v162(constB125)),
% 20.83/14.43 inference(symmetry,[status(thm)],[31630])).
% 20.83/14.43 tff(31632,plain,
% 20.83/14.43 (v162(constB125)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[22337, 31631])).
% 20.83/14.43 tff(31633,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB123) | (~v164(constB123)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB123) | (~v164(constB123)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31634,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB123) | (~v164(constB123)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31635,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB123) | (~v164(constB123))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31634, 31633])).
% 20.83/14.43 tff(31636,plain,
% 20.83/14.43 (~v164(constB123)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31635, 22640, 28554])).
% 20.83/14.43 tff(31637,plain,
% 20.83/14.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB117, bitIndex2)) | (~v145(constB117)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31638,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v145(constB117)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31639,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB117, bitIndex2)) | (~v145(constB117))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31638, 31637])).
% 20.83/14.43 tff(31640,plain,
% 20.83/14.43 (~v145(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31639, 10327, 14949])).
% 20.83/14.43 tff(31641,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB117) | (~v144(constB117)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB117) | (~v144(constB117)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31642,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB117) | (~v144(constB117)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31643,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB117) | (~v144(constB117))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31642, 31641])).
% 20.83/14.43 tff(31644,plain,
% 20.83/14.43 (~v144(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31643, 22349, 31640])).
% 20.83/14.43 tff(31645,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB117) | (~v142(constB117)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB117) | (~v142(constB117)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31646,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB117) | (~v142(constB117)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31647,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB117) | (~v142(constB117))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31646, 31645])).
% 20.83/14.43 tff(31648,plain,
% 20.83/14.43 (~v142(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31647, 22360, 31644])).
% 20.83/14.43 tff(31649,assumption,(v18(constB118)), introduced(assumption)).
% 20.83/14.43 tff(31650,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB118))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31651,plain,
% 20.83/14.43 ($false),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31650, 2627, 31649])).
% 20.83/14.43 tff(31652,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.43 tff(31653,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31654,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31655,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31654, 31653])).
% 20.83/14.43 tff(31656,plain,
% 20.83/14.43 (v22(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31655, 2640, 14843])).
% 20.83/14.43 tff(31657,plain,
% 20.83/14.43 (((~![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))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31658,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB118)) | (~v22(constB118)) | v18(constB118))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31659,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB118)) | (~v22(constB118)) | v18(constB118)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31658, 31657])).
% 20.83/14.43 tff(31660,plain,
% 20.83/14.43 ((~v19(constB118)) | v18(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31659, 2654, 31656])).
% 20.83/14.43 tff(31661,plain,
% 20.83/14.43 (~v19(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31660, 31652])).
% 20.83/14.43 tff(31662,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31663,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31664,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31663, 31662])).
% 20.83/14.43 tff(31665,plain,
% 20.83/14.43 (v13(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31664, 2669, 31661])).
% 20.83/14.43 tff(31666,plain,
% 20.83/14.43 (((~![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))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31667,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31668,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB117, constB118)) | (~v13(constB118)) | v9(constB117)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31667, 31666])).
% 20.83/14.43 tff(31669,plain,
% 20.83/14.43 ((~v13(constB118)) | v9(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31668, 2686, 14823])).
% 20.83/14.43 tff(31670,plain,
% 20.83/14.43 (v9(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31669, 31665])).
% 20.83/14.43 tff(31671,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v141(constB117))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB117) | (~v9(constB117)) | v141(constB117))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31672,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v141(constB117))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31673,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB117) | (~v9(constB117)) | v141(constB117)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31672, 31671])).
% 20.83/14.43 tff(31674,plain,
% 20.83/14.43 ((~v9(constB117)) | v141(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31673, 22396, 14698])).
% 20.83/14.43 tff(31675,plain,
% 20.83/14.43 (v141(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31674, 31670])).
% 20.83/14.43 tff(31676,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB117) | (~v141(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB117) | (~v141(constB117)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31677,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB117) | (~v141(constB117)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31678,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB117) | (~v141(constB117))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31677, 31676])).
% 20.83/14.43 tff(31679,plain,
% 20.83/14.43 (v140(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31678, 22408, 31675])).
% 20.83/14.43 tff(31680,plain,
% 20.83/14.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB117)) | (~v140(constB117)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB117)) | (~v140(constB117)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31681,plain,
% 20.83/14.43 (((~v140(constB117)) | (~v138(constB117))) <=> ((~v138(constB117)) | (~v140(constB117)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31682,plain,
% 20.83/14.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB117)) | (~v138(constB117)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB117)) | (~v140(constB117))))),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31681])).
% 20.83/14.43 tff(31683,plain,
% 20.83/14.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB117)) | (~v138(constB117)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB117)) | (~v140(constB117)))),
% 20.83/14.43 inference(transitivity,[status(thm)],[31682, 31680])).
% 20.83/14.43 tff(31684,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB117)) | (~v138(constB117)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31685,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB117)) | (~v140(constB117))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31684, 31683])).
% 20.83/14.43 tff(31686,plain,
% 20.83/14.43 (~v138(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31685, 22419, 31679])).
% 20.83/14.43 tff(31687,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB117) | v142(constB117) | (~v135(constB117)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB117) | v142(constB117) | (~v135(constB117)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31688,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB117) | v142(constB117) | (~v135(constB117)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31689,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB117) | v142(constB117) | (~v135(constB117))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31688, 31687])).
% 20.83/14.43 tff(31690,plain,
% 20.83/14.43 (v142(constB117) | (~v135(constB117))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31689, 22436, 31686])).
% 20.83/14.43 tff(31691,plain,
% 20.83/14.43 (~v135(constB117)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31690, 31648])).
% 20.83/14.43 tff(31692,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB117, constB118)) | v135(constB117) | (~v137(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB117, constB118)) | v135(constB117) | (~v137(constB118)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31693,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB117, constB118)) | v135(constB117) | (~v137(constB118)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31694,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB117, constB118)) | v135(constB117) | (~v137(constB118))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31693, 31692])).
% 20.83/14.43 tff(31695,plain,
% 20.83/14.43 (v135(constB117) | (~v137(constB118))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31694, 22451, 14823])).
% 20.83/14.43 tff(31696,plain,
% 20.83/14.43 (~v137(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31695, 31691])).
% 20.83/14.43 tff(31697,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB118) | (~v138(constB118)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB118) | (~v138(constB118)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31698,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB118) | (~v138(constB118)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31699,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB118) | (~v138(constB118))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 20.83/14.43 tff(31700,plain,
% 20.83/14.43 (~v138(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31699, 22463, 31696])).
% 20.83/14.43 tff(31701,plain,
% 20.83/14.43 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB118)) | (~v141(constB118)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB118)) | (~v141(constB118)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31702,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB118)) | (~v141(constB118)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31703,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB118)) | (~v141(constB118))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 20.83/14.43 tff(31704,plain,
% 20.83/14.43 (~v141(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31703, 22474, 14843])).
% 20.83/14.43 tff(31705,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB118) | (~v144(constB118)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB118) | (~v144(constB118)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31706,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB118) | (~v144(constB118)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31707,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB118) | (~v144(constB118))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 20.83/14.43 tff(31708,plain,
% 20.83/14.43 (~v144(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31707, 22485, 31704])).
% 20.83/14.43 tff(31709,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB118) | (~v142(constB118)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB118) | (~v142(constB118)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31710,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB118) | (~v142(constB118)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31711,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB118) | (~v142(constB118))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31710, 31709])).
% 20.83/14.43 tff(31712,plain,
% 20.83/14.43 (~v142(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31711, 22360, 31708])).
% 20.83/14.43 tff(31713,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB118) | v142(constB118) | (~v135(constB118)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB118) | v142(constB118) | (~v135(constB118)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31714,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB118) | v142(constB118) | (~v135(constB118)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31715,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB118) | v142(constB118) | (~v135(constB118))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31714, 31713])).
% 20.83/14.43 tff(31716,plain,
% 20.83/14.43 (v138(constB118) | (~v135(constB118))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31715, 22436, 31712])).
% 20.83/14.43 tff(31717,plain,
% 20.83/14.43 (~v135(constB118)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31716, 31700])).
% 20.83/14.43 tff(31718,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB118, constB119)) | v135(constB118) | (~v137(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB118, constB119)) | v135(constB118) | (~v137(constB119)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31719,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB118, constB119)) | v135(constB118) | (~v137(constB119)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31720,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB118, constB119)) | v135(constB118) | (~v137(constB119))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31719, 31718])).
% 20.83/14.43 tff(31721,plain,
% 20.83/14.43 (v135(constB118) | (~v137(constB119))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31720, 22451, 14897])).
% 20.83/14.43 tff(31722,plain,
% 20.83/14.43 (~v137(constB119)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31721, 31717])).
% 20.83/14.43 tff(31723,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB119) | (~v153(constB119)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB119) | (~v153(constB119)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31724,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB119) | (~v153(constB119)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31725,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB119) | (~v153(constB119))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31724, 31723])).
% 20.83/14.43 tff(31726,plain,
% 20.83/14.43 (~v153(constB119)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31725, 22510, 31722])).
% 20.83/14.43 tff(31727,plain,
% 20.83/14.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB119)) | (~v155(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB119)) | (~v155(constB119)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31728,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB119)) | (~v155(constB119)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31729,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB119)) | (~v155(constB119))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31728, 31727])).
% 20.83/14.43 tff(31730,plain,
% 20.83/14.43 (~v155(constB119)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31729, 22552, 28471])).
% 20.83/14.43 tff(31731,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB119) | v155(constB119) | (~v150(constB119)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB119) | v155(constB119) | (~v150(constB119)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31732,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB119) | v155(constB119) | (~v150(constB119)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31733,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB119) | v155(constB119) | (~v150(constB119))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31732, 31731])).
% 20.83/14.43 tff(31734,plain,
% 20.83/14.43 (v153(constB119) | (~v150(constB119))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31733, 22566, 31730])).
% 20.83/14.43 tff(31735,plain,
% 20.83/14.43 (~v150(constB119)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31734, 31726])).
% 20.83/14.43 tff(31736,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB119, constB120)) | v150(constB119) | (~v152(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB119, constB120)) | v150(constB119) | (~v152(constB120)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31737,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB119, constB120)) | v150(constB119) | (~v152(constB120)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31738,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB119, constB120)) | v150(constB119) | (~v152(constB120))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31737, 31736])).
% 20.83/14.43 tff(31739,plain,
% 20.83/14.43 (v150(constB119) | (~v152(constB120))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31738, 22581, 15084])).
% 20.83/14.43 tff(31740,plain,
% 20.83/14.43 (~v152(constB120)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31739, 31735])).
% 20.83/14.43 tff(31741,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB120) | (~v155(constB120)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB120) | (~v155(constB120)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31742,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB120) | (~v155(constB120)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31743,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB120) | (~v155(constB120))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31742, 31741])).
% 20.83/14.43 tff(31744,plain,
% 20.83/14.43 (~v155(constB120)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31743, 22593, 31740])).
% 20.83/14.43 tff(31745,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB120) | (~v154(constB120)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB120) | (~v154(constB120)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31746,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB120) | (~v154(constB120)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31747,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB120) | (~v154(constB120))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31746, 31745])).
% 20.83/14.43 tff(31748,plain,
% 20.83/14.43 (~v154(constB120)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31747, 22608, 28496])).
% 20.83/14.43 tff(31749,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB120) | (~v153(constB120)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB120) | (~v153(constB120)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31750,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB120) | (~v153(constB120)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31751,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB120) | (~v153(constB120))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31750, 31749])).
% 20.83/14.43 tff(31752,plain,
% 20.83/14.43 (~v153(constB120)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31751, 22619, 31748])).
% 20.83/14.43 tff(31753,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB120) | v155(constB120) | (~v150(constB120)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB120) | v155(constB120) | (~v150(constB120)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31754,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB120) | v155(constB120) | (~v150(constB120)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31755,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB120) | v155(constB120) | (~v150(constB120))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31754, 31753])).
% 20.83/14.43 tff(31756,plain,
% 20.83/14.43 (v155(constB120) | (~v150(constB120))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31755, 22566, 31752])).
% 20.83/14.43 tff(31757,plain,
% 20.83/14.43 (~v150(constB120)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31756, 31744])).
% 20.83/14.43 tff(31758,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB120, constB121)) | v150(constB120) | (~v152(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB120, constB121)) | v150(constB120) | (~v152(constB121)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31759,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB120, constB121)) | v150(constB120) | (~v152(constB121)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31760,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB120, constB121)) | v150(constB120) | (~v152(constB121))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31759, 31758])).
% 20.83/14.43 tff(31761,plain,
% 20.83/14.43 (v150(constB120) | (~v152(constB121))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31760, 22581, 15162])).
% 20.83/14.43 tff(31762,plain,
% 20.83/14.43 (~v152(constB121)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31761, 31757])).
% 20.83/14.43 tff(31763,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB121) | (~v164(constB121)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB121) | (~v164(constB121)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31764,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB121) | (~v164(constB121)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31765,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB121) | (~v164(constB121))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31764, 31763])).
% 20.83/14.43 tff(31766,plain,
% 20.83/14.43 (~v164(constB121)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31765, 22640, 31762])).
% 20.83/14.43 tff(31767,plain,
% 20.83/14.43 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB121)) | (~v163(constB121)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB121)) | (~v163(constB121)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31768,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB121)) | (~v163(constB121)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31769,plain,
% 20.83/14.43 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB121)) | (~v163(constB121))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31768, 31767])).
% 20.83/14.43 tff(31770,plain,
% 20.83/14.43 (~v163(constB121)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31769, 22781, 28384])).
% 20.83/14.43 tff(31771,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB121)) | v164(constB121) | v163(constB121))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB121)) | v164(constB121) | v163(constB121))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31772,plain,
% 20.83/14.43 ((v164(constB121) | v163(constB121) | (~v160(constB121))) <=> ((~v160(constB121)) | v164(constB121) | v163(constB121))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31773,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB121) | v163(constB121) | (~v160(constB121)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB121)) | v164(constB121) | v163(constB121)))),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31772])).
% 20.83/14.43 tff(31774,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB121) | v163(constB121) | (~v160(constB121)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB121)) | v164(constB121) | v163(constB121))),
% 20.83/14.43 inference(transitivity,[status(thm)],[31773, 31771])).
% 20.83/14.43 tff(31775,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB121) | v163(constB121) | (~v160(constB121)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31776,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB121)) | v164(constB121) | v163(constB121)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31775, 31774])).
% 20.83/14.43 tff(31777,plain,
% 20.83/14.43 ((~v160(constB121)) | v164(constB121)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31776, 22795, 31770])).
% 20.83/14.43 tff(31778,plain,
% 20.83/14.43 (~v160(constB121)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31777, 31766])).
% 20.83/14.43 tff(31779,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB121, constB122)) | v160(constB121) | (~v162(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB121, constB122)) | v160(constB121) | (~v162(constB122)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31780,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB121, constB122)) | v160(constB121) | (~v162(constB122)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31781,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB121, constB122)) | v160(constB121) | (~v162(constB122))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31780, 31779])).
% 20.83/14.43 tff(31782,plain,
% 20.83/14.43 (v160(constB121) | (~v162(constB122))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31781, 22813, 15257])).
% 20.83/14.43 tff(31783,plain,
% 20.83/14.43 (~v162(constB122)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31782, 31778])).
% 20.83/14.43 tff(31784,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB122) | (~v163(constB122)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB122) | (~v163(constB122)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31785,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB122) | (~v163(constB122)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31786,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB122) | (~v163(constB122))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31785, 31784])).
% 20.83/14.43 tff(31787,plain,
% 20.83/14.43 (~v163(constB122)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31786, 22825, 31783])).
% 20.83/14.43 tff(31788,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB122) | (~v164(constB122)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB122) | (~v164(constB122)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31789,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB122) | (~v164(constB122)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31790,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB122) | (~v164(constB122))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31789, 31788])).
% 20.83/14.43 tff(31791,plain,
% 20.83/14.43 (~v164(constB122)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31790, 22836, 28540])).
% 20.83/14.43 tff(31792,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB122)) | v164(constB122) | v163(constB122))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB122)) | v164(constB122) | v163(constB122))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31793,plain,
% 20.83/14.43 ((v164(constB122) | v163(constB122) | (~v160(constB122))) <=> ((~v160(constB122)) | v164(constB122) | v163(constB122))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31794,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB122) | v163(constB122) | (~v160(constB122)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB122)) | v164(constB122) | v163(constB122)))),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31793])).
% 20.83/14.43 tff(31795,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB122) | v163(constB122) | (~v160(constB122)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB122)) | v164(constB122) | v163(constB122))),
% 20.83/14.43 inference(transitivity,[status(thm)],[31794, 31792])).
% 20.83/14.43 tff(31796,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB122) | v163(constB122) | (~v160(constB122)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31797,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB122)) | v164(constB122) | v163(constB122)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31796, 31795])).
% 20.83/14.43 tff(31798,plain,
% 20.83/14.43 ((~v160(constB122)) | v163(constB122)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31797, 22795, 31791])).
% 20.83/14.43 tff(31799,plain,
% 20.83/14.43 (~v160(constB122)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31798, 31787])).
% 20.83/14.43 tff(31800,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB122, constB123)) | v160(constB122) | (~v162(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB122, constB123)) | v160(constB122) | (~v162(constB123)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31801,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB122, constB123)) | v160(constB122) | (~v162(constB123)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31802,plain,
% 20.83/14.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB122, constB123)) | v160(constB122) | (~v162(constB123))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31801, 31800])).
% 20.83/14.43 tff(31803,plain,
% 20.83/14.43 (v160(constB122) | (~v162(constB123))),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31802, 22813, 15371])).
% 20.83/14.43 tff(31804,plain,
% 20.83/14.43 (~v162(constB123)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31803, 31799])).
% 20.83/14.43 tff(31805,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB123) | (~v163(constB123)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB123) | (~v163(constB123)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31806,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB123) | (~v163(constB123)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31807,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB123) | (~v163(constB123))),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31806, 31805])).
% 20.83/14.43 tff(31808,plain,
% 20.83/14.43 (~v163(constB123)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31807, 22825, 31804])).
% 20.83/14.43 tff(31809,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB123)) | v163(constB123) | v164(constB123))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB123)) | v163(constB123) | v164(constB123))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31810,plain,
% 20.83/14.43 ((v164(constB123) | v163(constB123) | (~v160(constB123))) <=> ((~v160(constB123)) | v163(constB123) | v164(constB123))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31811,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB123) | v163(constB123) | (~v160(constB123)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB123)) | v163(constB123) | v164(constB123)))),
% 20.83/14.43 inference(monotonicity,[status(thm)],[31810])).
% 20.83/14.43 tff(31812,plain,
% 20.83/14.43 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB123) | v163(constB123) | (~v160(constB123)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB123)) | v163(constB123) | v164(constB123))),
% 20.83/14.43 inference(transitivity,[status(thm)],[31811, 31809])).
% 20.83/14.43 tff(31813,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB123) | v163(constB123) | (~v160(constB123)))),
% 20.83/14.43 inference(quant_inst,[status(thm)],[])).
% 20.83/14.43 tff(31814,plain,
% 20.83/14.43 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB123)) | v163(constB123) | v164(constB123)),
% 20.83/14.43 inference(modus_ponens,[status(thm)],[31813, 31812])).
% 20.83/14.43 tff(31815,plain,
% 20.83/14.43 ((~v160(constB123)) | v164(constB123)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31814, 22795, 31808])).
% 20.83/14.43 tff(31816,plain,
% 20.83/14.43 (~v160(constB123)),
% 20.83/14.43 inference(unit_resolution,[status(thm)],[31815, 31636])).
% 20.83/14.43 tff(31817,plain,
% 20.83/14.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB123, constB124)) | v160(constB123) | (~v162(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB123, constB124)) | v160(constB123) | (~v162(constB124)))),
% 20.83/14.43 inference(rewrite,[status(thm)],[])).
% 20.83/14.43 tff(31818,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB123, constB124)) | v160(constB123) | (~v162(constB124)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31819,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB123, constB124)) | v160(constB123) | (~v162(constB124))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31818, 31817])).
% 20.83/14.44 tff(31820,plain,
% 20.83/14.44 (v160(constB123) | (~v162(constB124))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31819, 22813, 15548])).
% 20.83/14.44 tff(31821,plain,
% 20.83/14.44 (~v162(constB124)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31820, 31816])).
% 20.83/14.44 tff(31822,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB124) | (~v163(constB124)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB124) | (~v163(constB124)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31823,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB124) | (~v163(constB124)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31824,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB124) | (~v163(constB124))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31823, 31822])).
% 20.83/14.44 tff(31825,plain,
% 20.83/14.44 (~v163(constB124)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31824, 22825, 31821])).
% 20.83/14.44 tff(31826,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB124) | (~v164(constB124)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB124) | (~v164(constB124)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31827,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB124) | (~v164(constB124)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31828,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB124) | (~v164(constB124))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31827, 31826])).
% 20.83/14.44 tff(31829,plain,
% 20.83/14.44 (~v164(constB124)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31828, 22836, 28580])).
% 20.83/14.44 tff(31830,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB124)) | v164(constB124) | v163(constB124))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB124)) | v164(constB124) | v163(constB124))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31831,plain,
% 20.83/14.44 ((v164(constB124) | v163(constB124) | (~v160(constB124))) <=> ((~v160(constB124)) | v164(constB124) | v163(constB124))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31832,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB124) | v163(constB124) | (~v160(constB124)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB124)) | v164(constB124) | v163(constB124)))),
% 20.83/14.44 inference(monotonicity,[status(thm)],[31831])).
% 20.83/14.44 tff(31833,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB124) | v163(constB124) | (~v160(constB124)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB124)) | v164(constB124) | v163(constB124))),
% 20.83/14.44 inference(transitivity,[status(thm)],[31832, 31830])).
% 20.83/14.44 tff(31834,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB124) | v163(constB124) | (~v160(constB124)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31835,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB124)) | v164(constB124) | v163(constB124)),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31834, 31833])).
% 20.83/14.44 tff(31836,plain,
% 20.83/14.44 ((~v160(constB124)) | v163(constB124)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31835, 22795, 31829])).
% 20.83/14.44 tff(31837,plain,
% 20.83/14.44 (~v160(constB124)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31836, 31825])).
% 20.83/14.44 tff(31838,plain,
% 20.83/14.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB124, constB125)) | v160(constB124) | (~v162(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB124, constB125)) | v160(constB124) | (~v162(constB125)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31839,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB124, constB125)) | v160(constB124) | (~v162(constB125)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31840,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB124, constB125)) | v160(constB124) | (~v162(constB125))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31839, 31838])).
% 20.83/14.44 tff(31841,plain,
% 20.83/14.44 (v160(constB124) | (~v162(constB125))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31840, 22813, 15613])).
% 20.83/14.44 tff(31842,plain,
% 20.83/14.44 (~v162(constB125)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31841, 31837])).
% 20.83/14.44 tff(31843,plain,
% 20.83/14.44 ($false),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31842, 31632])).
% 20.83/14.44 tff(31844,plain,(~(constB125 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.44 tff(31845,assumption,(constB73 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.44 tff(31846,plain,
% 20.83/14.44 (v162(constB73) <=> v162(sK0_VarCurr)),
% 20.83/14.44 inference(monotonicity,[status(thm)],[31845])).
% 20.83/14.44 tff(31847,plain,
% 20.83/14.44 (v162(sK0_VarCurr) <=> v162(constB73)),
% 20.83/14.44 inference(symmetry,[status(thm)],[31846])).
% 20.83/14.44 tff(31848,plain,
% 20.83/14.44 (v162(constB73)),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[22337, 31847])).
% 20.83/14.44 tff(31849,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB67, bitIndex1)) | (~v145(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB67, bitIndex1)) | (~v145(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31850,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB67, bitIndex1)) | (~v145(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31851,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB67, bitIndex1)) | (~v145(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31850, 31849])).
% 20.83/14.44 tff(31852,plain,
% 20.83/14.44 (~v145(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31851, 2012, 7540])).
% 20.83/14.44 tff(31853,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB67) | (~v144(constB67)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB67) | (~v144(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31854,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB67) | (~v144(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31855,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB67) | (~v144(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31854, 31853])).
% 20.83/14.44 tff(31856,plain,
% 20.83/14.44 (~v144(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31855, 22349, 31852])).
% 20.83/14.44 tff(31857,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB67) | (~v142(constB67)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB67) | (~v142(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31858,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB67) | (~v142(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31859,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB67) | (~v142(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31858, 31857])).
% 20.83/14.44 tff(31860,plain,
% 20.83/14.44 (~v142(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31859, 22360, 31856])).
% 20.83/14.44 tff(31861,assumption,(v18(constB68)), introduced(assumption)).
% 20.83/14.44 tff(31862,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB68))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31863,plain,
% 20.83/14.44 ($false),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31862, 2627, 31861])).
% 20.83/14.44 tff(31864,plain,(~v18(constB68)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.44 tff(31865,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31866,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31867,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31866, 31865])).
% 20.83/14.44 tff(31868,plain,
% 20.83/14.44 (v22(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31867, 2640, 7627])).
% 20.83/14.44 tff(31869,plain,
% 20.83/14.44 (((~![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))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31870,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB68)) | (~v22(constB68)) | v18(constB68))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31871,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB68)) | (~v22(constB68)) | v18(constB68)),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31870, 31869])).
% 20.83/14.44 tff(31872,plain,
% 20.83/14.44 ((~v19(constB68)) | v18(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31871, 2654, 31868])).
% 20.83/14.44 tff(31873,plain,
% 20.83/14.44 (~v19(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31872, 31864])).
% 20.83/14.44 tff(31874,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31875,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31876,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68)),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31875, 31874])).
% 20.83/14.44 tff(31877,plain,
% 20.83/14.44 (v13(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31876, 2669, 31873])).
% 20.83/14.44 tff(31878,plain,
% 20.83/14.44 (((~![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))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31879,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31880,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB67, constB68)) | (~v13(constB68)) | v9(constB67)),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31879, 31878])).
% 20.83/14.44 tff(31881,plain,
% 20.83/14.44 ((~v13(constB68)) | v9(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31880, 2686, 7607])).
% 20.83/14.44 tff(31882,plain,
% 20.83/14.44 (v9(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31881, 31877])).
% 20.83/14.44 tff(31883,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v141(constB67))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB67) | (~v9(constB67)) | v141(constB67))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31884,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v141(constB67))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31885,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB67) | (~v9(constB67)) | v141(constB67)),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31884, 31883])).
% 20.83/14.44 tff(31886,plain,
% 20.83/14.44 ((~v9(constB67)) | v141(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31885, 22396, 7485])).
% 20.83/14.44 tff(31887,plain,
% 20.83/14.44 (v141(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31886, 31882])).
% 20.83/14.44 tff(31888,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB67) | (~v141(constB67)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB67) | (~v141(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31889,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB67) | (~v141(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31890,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB67) | (~v141(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31889, 31888])).
% 20.83/14.44 tff(31891,plain,
% 20.83/14.44 (v140(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31890, 22408, 31887])).
% 20.83/14.44 tff(31892,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB67)) | (~v140(constB67)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB67)) | (~v140(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31893,plain,
% 20.83/14.44 (((~v140(constB67)) | (~v138(constB67))) <=> ((~v138(constB67)) | (~v140(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31894,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB67)) | (~v138(constB67)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB67)) | (~v140(constB67))))),
% 20.83/14.44 inference(monotonicity,[status(thm)],[31893])).
% 20.83/14.44 tff(31895,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB67)) | (~v138(constB67)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB67)) | (~v140(constB67)))),
% 20.83/14.44 inference(transitivity,[status(thm)],[31894, 31892])).
% 20.83/14.44 tff(31896,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB67)) | (~v138(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31897,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB67)) | (~v140(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31896, 31895])).
% 20.83/14.44 tff(31898,plain,
% 20.83/14.44 (~v138(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31897, 22419, 31891])).
% 20.83/14.44 tff(31899,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB67) | v142(constB67) | (~v135(constB67)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB67) | v142(constB67) | (~v135(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31900,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB67) | v142(constB67) | (~v135(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31901,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB67) | v142(constB67) | (~v135(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31900, 31899])).
% 20.83/14.44 tff(31902,plain,
% 20.83/14.44 (v142(constB67) | (~v135(constB67))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31901, 22436, 31898])).
% 20.83/14.44 tff(31903,plain,
% 20.83/14.44 (~v135(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31902, 31860])).
% 20.83/14.44 tff(31904,plain,
% 20.83/14.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB67, constB68)) | v135(constB67) | (~v137(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB67, constB68)) | v135(constB67) | (~v137(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31905,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB67, constB68)) | v135(constB67) | (~v137(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31906,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB67, constB68)) | v135(constB67) | (~v137(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31905, 31904])).
% 20.83/14.44 tff(31907,plain,
% 20.83/14.44 (v135(constB67) | (~v137(constB68))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31906, 22451, 7607])).
% 20.83/14.44 tff(31908,plain,
% 20.83/14.44 (~v137(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31907, 31903])).
% 20.83/14.44 tff(31909,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB68) | (~v138(constB68)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB68) | (~v138(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31910,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB68) | (~v138(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31911,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB68) | (~v138(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31910, 31909])).
% 20.83/14.44 tff(31912,plain,
% 20.83/14.44 (~v138(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31911, 22463, 31908])).
% 20.83/14.44 tff(31913,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB68)) | (~v141(constB68)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB68)) | (~v141(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31914,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB68)) | (~v141(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31915,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB68)) | (~v141(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31914, 31913])).
% 20.83/14.44 tff(31916,plain,
% 20.83/14.44 (~v141(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31915, 22474, 7627])).
% 20.83/14.44 tff(31917,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB68) | (~v144(constB68)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB68) | (~v144(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31918,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB68) | (~v144(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31919,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB68) | (~v144(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31918, 31917])).
% 20.83/14.44 tff(31920,plain,
% 20.83/14.44 (~v144(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31919, 22485, 31916])).
% 20.83/14.44 tff(31921,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB68) | (~v142(constB68)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB68) | (~v142(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31922,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB68) | (~v142(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31923,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB68) | (~v142(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31922, 31921])).
% 20.83/14.44 tff(31924,plain,
% 20.83/14.44 (~v142(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31923, 22360, 31920])).
% 20.83/14.44 tff(31925,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB68) | v142(constB68) | (~v135(constB68)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB68) | v142(constB68) | (~v135(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31926,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB68) | v142(constB68) | (~v135(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31927,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB68) | v142(constB68) | (~v135(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31926, 31925])).
% 20.83/14.44 tff(31928,plain,
% 20.83/14.44 (v138(constB68) | (~v135(constB68))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31927, 22436, 31924])).
% 20.83/14.44 tff(31929,plain,
% 20.83/14.44 (~v135(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31928, 31912])).
% 20.83/14.44 tff(31930,plain,
% 20.83/14.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB68, constB69)) | v135(constB68) | (~v137(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB68, constB69)) | v135(constB68) | (~v137(constB69)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31931,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB68, constB69)) | v135(constB68) | (~v137(constB69)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31932,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB68, constB69)) | v135(constB68) | (~v137(constB69))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31931, 31930])).
% 20.83/14.44 tff(31933,plain,
% 20.83/14.44 (v135(constB68) | (~v137(constB69))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31932, 22451, 7669])).
% 20.83/14.44 tff(31934,plain,
% 20.83/14.44 (~v137(constB69)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31933, 31929])).
% 20.83/14.44 tff(31935,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB69) | (~v153(constB69)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB69) | (~v153(constB69)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31936,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB69) | (~v153(constB69)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31937,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB69) | (~v153(constB69))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31936, 31935])).
% 20.83/14.44 tff(31938,plain,
% 20.83/14.44 (~v153(constB69)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31937, 22510, 31934])).
% 20.83/14.44 tff(31939,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v145(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v145(constB65)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31940,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v145(constB65)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31941,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v145(constB65))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31940, 31939])).
% 20.83/14.44 tff(31942,plain,
% 20.83/14.44 (~v145(constB65)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31941, 2012, 7349])).
% 20.83/14.44 tff(31943,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB65) | (~v144(constB65)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB65) | (~v144(constB65)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31944,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB65) | (~v144(constB65)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31945,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB65) | (~v144(constB65))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31944, 31943])).
% 20.83/14.44 tff(31946,plain,
% 20.83/14.44 (~v144(constB65)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31945, 22349, 31942])).
% 20.83/14.44 tff(31947,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB65) | (~v142(constB65)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31948,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB65) | (~v142(constB65)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31949,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB65) | (~v142(constB65))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31948, 31947])).
% 20.83/14.44 tff(31950,plain,
% 20.83/14.44 (~v142(constB65)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31949, 22360, 31946])).
% 20.83/14.44 tff(31951,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB65)) | (~v140(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB65)) | (~v140(constB65)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31952,plain,
% 20.83/14.44 (((~v140(constB65)) | (~v138(constB65))) <=> ((~v138(constB65)) | (~v140(constB65)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31953,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB65)) | (~v138(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB65)) | (~v140(constB65))))),
% 20.83/14.44 inference(monotonicity,[status(thm)],[31952])).
% 20.83/14.44 tff(31954,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB65)) | (~v138(constB65)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB65)) | (~v140(constB65)))),
% 20.83/14.44 inference(transitivity,[status(thm)],[31953, 31951])).
% 20.83/14.44 tff(31955,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB65)) | (~v138(constB65)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31956,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB65)) | (~v140(constB65))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31955, 31954])).
% 20.83/14.44 tff(31957,plain,
% 20.83/14.44 (~v138(constB65)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31956, 22419, 30393])).
% 20.83/14.44 tff(31958,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB65) | v142(constB65) | (~v135(constB65)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB65) | v142(constB65) | (~v135(constB65)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31959,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB65) | v142(constB65) | (~v135(constB65)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31960,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB65) | v142(constB65) | (~v135(constB65))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31959, 31958])).
% 20.83/14.44 tff(31961,plain,
% 20.83/14.44 (v142(constB65) | (~v135(constB65))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31960, 22436, 31957])).
% 20.83/14.44 tff(31962,plain,
% 20.83/14.44 (~v135(constB65)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31961, 31950])).
% 20.83/14.44 tff(31963,plain,
% 20.83/14.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31964,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31965,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31964, 31963])).
% 20.83/14.44 tff(31966,plain,
% 20.83/14.44 (v135(constB65) | (~v137(constB66))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31965, 22451, 7423])).
% 20.83/14.44 tff(31967,plain,
% 20.83/14.44 (~v137(constB66)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31966, 31962])).
% 20.83/14.44 tff(31968,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB66) | (~v138(constB66)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB66) | (~v138(constB66)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31969,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB66) | (~v138(constB66)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31970,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB66) | (~v138(constB66))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31969, 31968])).
% 20.83/14.44 tff(31971,plain,
% 20.83/14.44 (~v138(constB66)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31970, 22463, 31967])).
% 20.83/14.44 tff(31972,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB66) | (~v144(constB66)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB66) | (~v144(constB66)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31973,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB66) | (~v144(constB66)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31974,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB66) | (~v144(constB66))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 20.83/14.44 tff(31975,plain,
% 20.83/14.44 (~v144(constB66)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31974, 22485, 30418])).
% 20.83/14.44 tff(31976,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB66) | (~v142(constB66)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB66) | (~v142(constB66)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31977,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB66) | (~v142(constB66)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31978,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB66) | (~v142(constB66))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31977, 31976])).
% 20.83/14.44 tff(31979,plain,
% 20.83/14.44 (~v142(constB66)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31978, 22360, 31975])).
% 20.83/14.44 tff(31980,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB66) | v142(constB66) | (~v135(constB66)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB66) | v142(constB66) | (~v135(constB66)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31981,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB66) | v142(constB66) | (~v135(constB66)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31982,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB66) | v142(constB66) | (~v135(constB66))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31981, 31980])).
% 20.83/14.44 tff(31983,plain,
% 20.83/14.44 (v138(constB66) | (~v135(constB66))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31982, 22436, 31979])).
% 20.83/14.44 tff(31984,plain,
% 20.83/14.44 (~v135(constB66)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31983, 31971])).
% 20.83/14.44 tff(31985,plain,
% 20.83/14.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31986,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31987,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31986, 31985])).
% 20.83/14.44 tff(31988,plain,
% 20.83/14.44 (v135(constB66) | (~v137(constB67))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31987, 22451, 7488])).
% 20.83/14.44 tff(31989,plain,
% 20.83/14.44 (~v137(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31988, 31984])).
% 20.83/14.44 tff(31990,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB67) | (~v153(constB67)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB67) | (~v153(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31991,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB67) | (~v153(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31992,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB67) | (~v153(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31991, 31990])).
% 20.83/14.44 tff(31993,plain,
% 20.83/14.44 (~v153(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31992, 22510, 31989])).
% 20.83/14.44 tff(31994,plain,
% 20.83/14.44 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB67)) | (~v155(constB67)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB67)) | (~v155(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31995,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB67)) | (~v155(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(31996,plain,
% 20.83/14.44 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB67)) | (~v155(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31995, 31994])).
% 20.83/14.44 tff(31997,plain,
% 20.83/14.44 (~v155(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[31996, 22552, 31891])).
% 20.83/14.44 tff(31998,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB67) | v155(constB67) | (~v150(constB67)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB67) | v155(constB67) | (~v150(constB67)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(31999,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB67) | v155(constB67) | (~v150(constB67)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(32000,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB67) | v155(constB67) | (~v150(constB67))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[31999, 31998])).
% 20.83/14.44 tff(32001,plain,
% 20.83/14.44 (v153(constB67) | (~v150(constB67))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32000, 22566, 31997])).
% 20.83/14.44 tff(32002,plain,
% 20.83/14.44 (~v150(constB67)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32001, 31993])).
% 20.83/14.44 tff(32003,plain,
% 20.83/14.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(32004,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(32005,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[32004, 32003])).
% 20.83/14.44 tff(32006,plain,
% 20.83/14.44 (v150(constB67) | (~v152(constB68))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32005, 22581, 7607])).
% 20.83/14.44 tff(32007,plain,
% 20.83/14.44 (~v152(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32006, 32002])).
% 20.83/14.44 tff(32008,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB68) | (~v155(constB68)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB68) | (~v155(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(32009,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB68) | (~v155(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(32010,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB68) | (~v155(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[32009, 32008])).
% 20.83/14.44 tff(32011,plain,
% 20.83/14.44 (~v155(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32010, 22593, 32007])).
% 20.83/14.44 tff(32012,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB68) | (~v154(constB68)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB68) | (~v154(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(32013,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB68) | (~v154(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(32014,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB68) | (~v154(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[32013, 32012])).
% 20.83/14.44 tff(32015,plain,
% 20.83/14.44 (~v154(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32014, 22608, 31916])).
% 20.83/14.44 tff(32016,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB68) | (~v153(constB68)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB68) | (~v153(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(32017,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB68) | (~v153(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(32018,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB68) | (~v153(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[32017, 32016])).
% 20.83/14.44 tff(32019,plain,
% 20.83/14.44 (~v153(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32018, 22619, 32015])).
% 20.83/14.44 tff(32020,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB68) | v155(constB68) | (~v150(constB68)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB68) | v155(constB68) | (~v150(constB68)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(32021,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB68) | v155(constB68) | (~v150(constB68)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(32022,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB68) | v155(constB68) | (~v150(constB68))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[32021, 32020])).
% 20.83/14.44 tff(32023,plain,
% 20.83/14.44 (v155(constB68) | (~v150(constB68))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32022, 22566, 32019])).
% 20.83/14.44 tff(32024,plain,
% 20.83/14.44 (~v150(constB68)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32023, 32011])).
% 20.83/14.44 tff(32025,plain,
% 20.83/14.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(32026,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(32027,plain,
% 20.83/14.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[32026, 32025])).
% 20.83/14.44 tff(32028,plain,
% 20.83/14.44 (v150(constB68) | (~v152(constB69))),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32027, 22581, 7669])).
% 20.83/14.44 tff(32029,plain,
% 20.83/14.44 (~v152(constB69)),
% 20.83/14.44 inference(unit_resolution,[status(thm)],[32028, 32024])).
% 20.83/14.44 tff(32030,plain,
% 20.83/14.44 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB69) | (~v155(constB69)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB69) | (~v155(constB69)))),
% 20.83/14.44 inference(rewrite,[status(thm)],[])).
% 20.83/14.44 tff(32031,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB69) | (~v155(constB69)))),
% 20.83/14.44 inference(quant_inst,[status(thm)],[])).
% 20.83/14.44 tff(32032,plain,
% 20.83/14.44 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB69) | (~v155(constB69))),
% 20.83/14.44 inference(modus_ponens,[status(thm)],[32031, 32030])).
% 20.83/14.45 tff(32033,plain,
% 20.83/14.45 (~v155(constB69)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32032, 22593, 32029])).
% 20.83/14.45 tff(32034,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB69) | v155(constB69) | (~v150(constB69)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB69) | v155(constB69) | (~v150(constB69)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32035,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB69) | v155(constB69) | (~v150(constB69)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32036,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB69) | v155(constB69) | (~v150(constB69))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32035, 32034])).
% 20.83/14.45 tff(32037,plain,
% 20.83/14.45 (v153(constB69) | (~v150(constB69))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32036, 22566, 32033])).
% 20.83/14.45 tff(32038,plain,
% 20.83/14.45 (~v150(constB69)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32037, 31938])).
% 20.83/14.45 tff(32039,plain,
% 20.83/14.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB69, constB70)) | v150(constB69) | (~v152(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB69, constB70)) | v150(constB69) | (~v152(constB70)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32040,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB69, constB70)) | v150(constB69) | (~v152(constB70)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32041,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB69, constB70)) | v150(constB69) | (~v152(constB70))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32040, 32039])).
% 20.83/14.45 tff(32042,plain,
% 20.83/14.45 (v150(constB69) | (~v152(constB70))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32041, 22581, 7793])).
% 20.83/14.45 tff(32043,plain,
% 20.83/14.45 (~v152(constB70)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32042, 32038])).
% 20.83/14.45 tff(32044,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB70) | (~v155(constB70)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB70) | (~v155(constB70)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32045,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB70) | (~v155(constB70)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32046,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB70) | (~v155(constB70))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32045, 32044])).
% 20.83/14.45 tff(32047,plain,
% 20.83/14.45 (~v155(constB70)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32046, 22593, 32043])).
% 20.83/14.45 tff(32048,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB70)) | (~v141(constB70)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB70)) | (~v141(constB70)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32049,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB70)) | (~v141(constB70)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32050,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB70)) | (~v141(constB70))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32049, 32048])).
% 20.83/14.45 tff(32051,plain,
% 20.83/14.45 (~v141(constB70)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32050, 22474, 7813])).
% 20.83/14.45 tff(32052,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB70) | (~v154(constB70)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB70) | (~v154(constB70)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32053,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB70) | (~v154(constB70)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32054,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB70) | (~v154(constB70))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32053, 32052])).
% 20.83/14.45 tff(32055,plain,
% 20.83/14.45 (~v154(constB70)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32054, 22608, 32051])).
% 20.83/14.45 tff(32056,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB70) | (~v153(constB70)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB70) | (~v153(constB70)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32057,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB70) | (~v153(constB70)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32058,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB70) | (~v153(constB70))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32057, 32056])).
% 20.83/14.45 tff(32059,plain,
% 20.83/14.45 (~v153(constB70)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32058, 22619, 32055])).
% 20.83/14.45 tff(32060,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB70) | v155(constB70) | (~v150(constB70)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB70) | v155(constB70) | (~v150(constB70)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32061,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB70) | v155(constB70) | (~v150(constB70)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32062,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB70) | v155(constB70) | (~v150(constB70))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32061, 32060])).
% 20.83/14.45 tff(32063,plain,
% 20.83/14.45 (v155(constB70) | (~v150(constB70))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32062, 22566, 32059])).
% 20.83/14.45 tff(32064,plain,
% 20.83/14.45 (~v150(constB70)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32063, 32047])).
% 20.83/14.45 tff(32065,plain,
% 20.83/14.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB70, constB71)) | v150(constB70) | (~v152(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB70, constB71)) | v150(constB70) | (~v152(constB71)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32066,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB70, constB71)) | v150(constB70) | (~v152(constB71)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32067,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB70, constB71)) | v150(constB70) | (~v152(constB71))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32066, 32065])).
% 20.83/14.45 tff(32068,plain,
% 20.83/14.45 (v150(constB70) | (~v152(constB71))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32067, 22581, 7855])).
% 20.83/14.45 tff(32069,plain,
% 20.83/14.45 (~v152(constB71)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32068, 32064])).
% 20.83/14.45 tff(32070,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB71) | (~v164(constB71)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB71) | (~v164(constB71)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32071,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB71) | (~v164(constB71)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32072,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB71) | (~v164(constB71))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32071, 32070])).
% 20.83/14.45 tff(32073,plain,
% 20.83/14.45 (~v164(constB71)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32072, 22640, 32069])).
% 20.83/14.45 tff(32074,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB71)) | (~v163(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB71)) | (~v163(constB71)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32075,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB71)) | (~v163(constB71)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32076,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB71)) | (~v163(constB71))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32075, 32074])).
% 20.83/14.45 tff(32077,plain,
% 20.83/14.45 (~v163(constB71)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32076, 22781, 27737])).
% 20.83/14.45 tff(32078,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB71)) | v163(constB71) | v164(constB71))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB71)) | v163(constB71) | v164(constB71))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32079,plain,
% 20.83/14.45 ((v164(constB71) | v163(constB71) | (~v160(constB71))) <=> ((~v160(constB71)) | v163(constB71) | v164(constB71))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32080,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB71) | v163(constB71) | (~v160(constB71)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB71)) | v163(constB71) | v164(constB71)))),
% 20.83/14.45 inference(monotonicity,[status(thm)],[32079])).
% 20.83/14.45 tff(32081,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB71) | v163(constB71) | (~v160(constB71)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB71)) | v163(constB71) | v164(constB71))),
% 20.83/14.45 inference(transitivity,[status(thm)],[32080, 32078])).
% 20.83/14.45 tff(32082,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB71) | v163(constB71) | (~v160(constB71)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32083,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB71)) | v163(constB71) | v164(constB71)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32082, 32081])).
% 20.83/14.45 tff(32084,plain,
% 20.83/14.45 ((~v160(constB71)) | v164(constB71)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32083, 22795, 32077])).
% 20.83/14.45 tff(32085,plain,
% 20.83/14.45 (~v160(constB71)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32084, 32073])).
% 20.83/14.45 tff(32086,plain,
% 20.83/14.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB71, constB72)) | v160(constB71) | (~v162(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB71, constB72)) | v160(constB71) | (~v162(constB72)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32087,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB71, constB72)) | v160(constB71) | (~v162(constB72)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32088,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB71, constB72)) | v160(constB71) | (~v162(constB72))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32087, 32086])).
% 20.83/14.45 tff(32089,plain,
% 20.83/14.45 (v160(constB71) | (~v162(constB72))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32088, 22813, 7972])).
% 20.83/14.45 tff(32090,plain,
% 20.83/14.45 (~v162(constB72)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32089, 32085])).
% 20.83/14.45 tff(32091,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB72) | (~v163(constB72)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB72) | (~v163(constB72)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32092,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB72) | (~v163(constB72)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32093,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB72) | (~v163(constB72))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32092, 32091])).
% 20.83/14.45 tff(32094,plain,
% 20.83/14.45 (~v163(constB72)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32093, 22825, 32090])).
% 20.83/14.45 tff(32095,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB72) | (~v154(constB72)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB72) | (~v154(constB72)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32096,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB72) | (~v154(constB72)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32097,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB72) | (~v154(constB72))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32096, 32095])).
% 20.83/14.45 tff(32098,plain,
% 20.83/14.45 (~v154(constB72)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32097, 22608, 27762])).
% 20.83/14.45 tff(32099,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB72) | (~v164(constB72)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB72) | (~v164(constB72)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32100,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB72) | (~v164(constB72)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32101,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB72) | (~v164(constB72))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32100, 32099])).
% 20.83/14.45 tff(32102,plain,
% 20.83/14.45 (~v164(constB72)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32101, 22836, 32098])).
% 20.83/14.45 tff(32103,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB72)) | v164(constB72) | v163(constB72))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB72)) | v164(constB72) | v163(constB72))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32104,plain,
% 20.83/14.45 ((v164(constB72) | v163(constB72) | (~v160(constB72))) <=> ((~v160(constB72)) | v164(constB72) | v163(constB72))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32105,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB72) | v163(constB72) | (~v160(constB72)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB72)) | v164(constB72) | v163(constB72)))),
% 20.83/14.45 inference(monotonicity,[status(thm)],[32104])).
% 20.83/14.45 tff(32106,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB72) | v163(constB72) | (~v160(constB72)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB72)) | v164(constB72) | v163(constB72))),
% 20.83/14.45 inference(transitivity,[status(thm)],[32105, 32103])).
% 20.83/14.45 tff(32107,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB72) | v163(constB72) | (~v160(constB72)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32108,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB72)) | v164(constB72) | v163(constB72)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32107, 32106])).
% 20.83/14.45 tff(32109,plain,
% 20.83/14.45 ((~v160(constB72)) | v163(constB72)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32108, 22795, 32102])).
% 20.83/14.45 tff(32110,plain,
% 20.83/14.45 (~v160(constB72)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32109, 32094])).
% 20.83/14.45 tff(32111,plain,
% 20.83/14.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB72, constB73)) | v160(constB72) | (~v162(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB72, constB73)) | v160(constB72) | (~v162(constB73)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32112,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB72, constB73)) | v160(constB72) | (~v162(constB73)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32113,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB72, constB73)) | v160(constB72) | (~v162(constB73))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32112, 32111])).
% 20.83/14.45 tff(32114,plain,
% 20.83/14.45 (v160(constB72) | (~v162(constB73))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32113, 22813, 8034])).
% 20.83/14.45 tff(32115,plain,
% 20.83/14.45 (~v162(constB73)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32114, 32110])).
% 20.83/14.45 tff(32116,plain,
% 20.83/14.45 ($false),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32115, 31848])).
% 20.83/14.45 tff(32117,plain,(~(constB73 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.45 tff(32118,assumption,(constB119 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.45 tff(32119,plain,
% 20.83/14.45 (v162(constB119) <=> v162(sK0_VarCurr)),
% 20.83/14.45 inference(monotonicity,[status(thm)],[32118])).
% 20.83/14.45 tff(32120,plain,
% 20.83/14.45 (v162(sK0_VarCurr) <=> v162(constB119)),
% 20.83/14.45 inference(symmetry,[status(thm)],[32119])).
% 20.83/14.45 tff(32121,plain,
% 20.83/14.45 (v162(constB119)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[22337, 32120])).
% 20.83/14.45 tff(32122,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB113, bitIndex1)) | (~v145(constB113)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32123,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v145(constB113)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32124,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB113, bitIndex1)) | (~v145(constB113))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32123, 32122])).
% 20.83/14.45 tff(32125,plain,
% 20.83/14.45 (~v145(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32124, 2012, 14372])).
% 20.83/14.45 tff(32126,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB113) | (~v144(constB113)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB113) | (~v144(constB113)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32127,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB113) | (~v144(constB113)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32128,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB113) | (~v144(constB113))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32127, 32126])).
% 20.83/14.45 tff(32129,plain,
% 20.83/14.45 (~v144(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32128, 22349, 32125])).
% 20.83/14.45 tff(32130,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB113) | (~v142(constB113)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32131,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB113) | (~v142(constB113)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32132,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB113) | (~v142(constB113))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32131, 32130])).
% 20.83/14.45 tff(32133,plain,
% 20.83/14.45 (~v142(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32132, 22360, 32129])).
% 20.83/14.45 tff(32134,assumption,(v18(constB114)), introduced(assumption)).
% 20.83/14.45 tff(32135,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB114))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32136,plain,
% 20.83/14.45 ($false),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32135, 2627, 32134])).
% 20.83/14.45 tff(32137,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.45 tff(32138,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32139,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32140,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32139, 32138])).
% 20.83/14.45 tff(32141,plain,
% 20.83/14.45 (v22(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32140, 2640, 14469])).
% 20.83/14.45 tff(32142,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB114)) | (~v22(constB114)) | v18(constB114))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB114)) | (~v22(constB114)) | v18(constB114))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32143,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB114)) | (~v22(constB114)) | v18(constB114))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32144,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB114)) | (~v22(constB114)) | v18(constB114)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32143, 32142])).
% 20.83/14.45 tff(32145,plain,
% 20.83/14.45 ((~v19(constB114)) | v18(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32144, 2654, 32141])).
% 20.83/14.45 tff(32146,plain,
% 20.83/14.45 (~v19(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32145, 32137])).
% 20.83/14.45 tff(32147,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32148,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32149,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32148, 32147])).
% 20.83/14.45 tff(32150,plain,
% 20.83/14.45 (v13(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32149, 2669, 32146])).
% 20.83/14.45 tff(32151,plain,
% 20.83/14.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32152,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32153,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB113, constB114)) | (~v13(constB114)) | v9(constB113)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32152, 32151])).
% 20.83/14.45 tff(32154,plain,
% 20.83/14.45 ((~v13(constB114)) | v9(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32153, 2686, 14449])).
% 20.83/14.45 tff(32155,plain,
% 20.83/14.45 (v9(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32154, 32150])).
% 20.83/14.45 tff(32156,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v141(constB113))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB113) | (~v9(constB113)) | v141(constB113))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32157,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v141(constB113))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32158,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB113) | (~v9(constB113)) | v141(constB113)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32157, 32156])).
% 20.83/14.45 tff(32159,plain,
% 20.83/14.45 ((~v9(constB113)) | v141(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32158, 22396, 14317])).
% 20.83/14.45 tff(32160,plain,
% 20.83/14.45 (v141(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32159, 32155])).
% 20.83/14.45 tff(32161,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB113) | (~v141(constB113)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB113) | (~v141(constB113)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32162,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB113) | (~v141(constB113)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32163,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB113) | (~v141(constB113))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32162, 32161])).
% 20.83/14.45 tff(32164,plain,
% 20.83/14.45 (v140(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32163, 22408, 32160])).
% 20.83/14.45 tff(32165,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB113)) | (~v140(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB113)) | (~v140(constB113)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32166,plain,
% 20.83/14.45 (((~v140(constB113)) | (~v138(constB113))) <=> ((~v138(constB113)) | (~v140(constB113)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32167,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB113)) | (~v138(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB113)) | (~v140(constB113))))),
% 20.83/14.45 inference(monotonicity,[status(thm)],[32166])).
% 20.83/14.45 tff(32168,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB113)) | (~v138(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB113)) | (~v140(constB113)))),
% 20.83/14.45 inference(transitivity,[status(thm)],[32167, 32165])).
% 20.83/14.45 tff(32169,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB113)) | (~v138(constB113)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32170,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB113)) | (~v140(constB113))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32169, 32168])).
% 20.83/14.45 tff(32171,plain,
% 20.83/14.45 (~v138(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32170, 22419, 32164])).
% 20.83/14.45 tff(32172,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB113) | v142(constB113) | (~v135(constB113)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB113) | v142(constB113) | (~v135(constB113)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32173,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB113) | v142(constB113) | (~v135(constB113)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32174,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB113) | v142(constB113) | (~v135(constB113))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32173, 32172])).
% 20.83/14.45 tff(32175,plain,
% 20.83/14.45 (v142(constB113) | (~v135(constB113))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32174, 22436, 32171])).
% 20.83/14.45 tff(32176,plain,
% 20.83/14.45 (~v135(constB113)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32175, 32133])).
% 20.83/14.45 tff(32177,plain,
% 20.83/14.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB113, constB114)) | v135(constB113) | (~v137(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB113, constB114)) | v135(constB113) | (~v137(constB114)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32178,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB113, constB114)) | v135(constB113) | (~v137(constB114)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32179,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB113, constB114)) | v135(constB113) | (~v137(constB114))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32178, 32177])).
% 20.83/14.45 tff(32180,plain,
% 20.83/14.45 (v135(constB113) | (~v137(constB114))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32179, 22451, 14449])).
% 20.83/14.45 tff(32181,plain,
% 20.83/14.45 (~v137(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32180, 32176])).
% 20.83/14.45 tff(32182,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB114) | (~v138(constB114)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB114) | (~v138(constB114)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32183,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB114) | (~v138(constB114)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32184,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB114) | (~v138(constB114))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32183, 32182])).
% 20.83/14.45 tff(32185,plain,
% 20.83/14.45 (~v138(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32184, 22463, 32181])).
% 20.83/14.45 tff(32186,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB114)) | (~v141(constB114)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB114)) | (~v141(constB114)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32187,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB114)) | (~v141(constB114)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32188,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB114)) | (~v141(constB114))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32187, 32186])).
% 20.83/14.45 tff(32189,plain,
% 20.83/14.45 (~v141(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32188, 22474, 14469])).
% 20.83/14.45 tff(32190,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB114) | (~v144(constB114)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB114) | (~v144(constB114)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32191,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB114) | (~v144(constB114)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32192,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB114) | (~v144(constB114))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32191, 32190])).
% 20.83/14.45 tff(32193,plain,
% 20.83/14.45 (~v144(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32192, 22485, 32189])).
% 20.83/14.45 tff(32194,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB114) | (~v142(constB114)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB114) | (~v142(constB114)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32195,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB114) | (~v142(constB114)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32196,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB114) | (~v142(constB114))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32195, 32194])).
% 20.83/14.45 tff(32197,plain,
% 20.83/14.45 (~v142(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32196, 22360, 32193])).
% 20.83/14.45 tff(32198,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB114) | v142(constB114) | (~v135(constB114)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB114) | v142(constB114) | (~v135(constB114)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32199,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB114) | v142(constB114) | (~v135(constB114)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32200,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB114) | v142(constB114) | (~v135(constB114))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32199, 32198])).
% 20.83/14.45 tff(32201,plain,
% 20.83/14.45 (v138(constB114) | (~v135(constB114))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32200, 22436, 32197])).
% 20.83/14.45 tff(32202,plain,
% 20.83/14.45 (~v135(constB114)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32201, 32185])).
% 20.83/14.45 tff(32203,plain,
% 20.83/14.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB114, constB115)) | v135(constB114) | (~v137(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB114, constB115)) | v135(constB114) | (~v137(constB115)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32204,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB114, constB115)) | v135(constB114) | (~v137(constB115)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32205,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB114, constB115)) | v135(constB114) | (~v137(constB115))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32204, 32203])).
% 20.83/14.45 tff(32206,plain,
% 20.83/14.45 (v135(constB114) | (~v137(constB115))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32205, 22451, 14514])).
% 20.83/14.45 tff(32207,plain,
% 20.83/14.45 (~v137(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32206, 32202])).
% 20.83/14.45 tff(32208,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB115) | (~v153(constB115)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB115) | (~v153(constB115)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32209,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB115) | (~v153(constB115)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32210,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB115) | (~v153(constB115))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32209, 32208])).
% 20.83/14.45 tff(32211,plain,
% 20.83/14.45 (~v153(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32210, 22510, 32207])).
% 20.83/14.45 tff(32212,assumption,(v18(constB116)), introduced(assumption)).
% 20.83/14.45 tff(32213,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB116))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32214,plain,
% 20.83/14.45 ($false),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32213, 2627, 32212])).
% 20.83/14.45 tff(32215,plain,(~v18(constB116)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.45 tff(32216,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32217,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32218,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32217, 32216])).
% 20.83/14.45 tff(32219,plain,
% 20.83/14.45 (v22(constB116)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32218, 2640, 14656])).
% 20.83/14.45 tff(32220,plain,
% 20.83/14.45 (((~![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))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32221,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB116)) | (~v22(constB116)) | v18(constB116))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32222,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB116)) | (~v22(constB116)) | v18(constB116)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32221, 32220])).
% 20.83/14.45 tff(32223,plain,
% 20.83/14.45 ((~v19(constB116)) | v18(constB116)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32222, 2654, 32219])).
% 20.83/14.45 tff(32224,plain,
% 20.83/14.45 (~v19(constB116)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32223, 32215])).
% 20.83/14.45 tff(32225,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32226,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32227,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32226, 32225])).
% 20.83/14.45 tff(32228,plain,
% 20.83/14.45 (v13(constB116)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32227, 2669, 32224])).
% 20.83/14.45 tff(32229,plain,
% 20.83/14.45 (((~![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))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32230,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32231,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB115, constB116)) | (~v13(constB116)) | v9(constB115)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32230, 32229])).
% 20.83/14.45 tff(32232,plain,
% 20.83/14.45 ((~v13(constB116)) | v9(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32231, 2686, 14636])).
% 20.83/14.45 tff(32233,plain,
% 20.83/14.45 (v9(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32232, 32228])).
% 20.83/14.45 tff(32234,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v141(constB115))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB115) | (~v9(constB115)) | v141(constB115))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32235,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v141(constB115))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32236,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB115) | (~v9(constB115)) | v141(constB115)),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 20.83/14.45 tff(32237,plain,
% 20.83/14.45 ((~v9(constB115)) | v141(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32236, 22396, 14511])).
% 20.83/14.45 tff(32238,plain,
% 20.83/14.45 (v141(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32237, 32233])).
% 20.83/14.45 tff(32239,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB115) | (~v141(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB115) | (~v141(constB115)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32240,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB115) | (~v141(constB115)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32241,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB115) | (~v141(constB115))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 20.83/14.45 tff(32242,plain,
% 20.83/14.45 (v140(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32241, 22408, 32238])).
% 20.83/14.45 tff(32243,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB115)) | (~v155(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB115)) | (~v155(constB115)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32244,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB115)) | (~v155(constB115)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32245,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB115)) | (~v155(constB115))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32244, 32243])).
% 20.83/14.45 tff(32246,plain,
% 20.83/14.45 (~v155(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32245, 22552, 32242])).
% 20.83/14.45 tff(32247,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB115) | v155(constB115) | (~v150(constB115)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB115) | v155(constB115) | (~v150(constB115)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32248,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB115) | v155(constB115) | (~v150(constB115)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32249,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB115) | v155(constB115) | (~v150(constB115))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32248, 32247])).
% 20.83/14.45 tff(32250,plain,
% 20.83/14.45 (v153(constB115) | (~v150(constB115))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32249, 22566, 32246])).
% 20.83/14.45 tff(32251,plain,
% 20.83/14.45 (~v150(constB115)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32250, 32211])).
% 20.83/14.45 tff(32252,plain,
% 20.83/14.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB115, constB116)) | v150(constB115) | (~v152(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB115, constB116)) | v150(constB115) | (~v152(constB116)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32253,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB115, constB116)) | v150(constB115) | (~v152(constB116)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32254,plain,
% 20.83/14.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB115, constB116)) | v150(constB115) | (~v152(constB116))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32253, 32252])).
% 20.83/14.45 tff(32255,plain,
% 20.83/14.45 (v150(constB115) | (~v152(constB116))),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32254, 22581, 14636])).
% 20.83/14.45 tff(32256,plain,
% 20.83/14.45 (~v152(constB116)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32255, 32251])).
% 20.83/14.45 tff(32257,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB116) | (~v155(constB116)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB116) | (~v155(constB116)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32258,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB116) | (~v155(constB116)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32259,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB116) | (~v155(constB116))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32258, 32257])).
% 20.83/14.45 tff(32260,plain,
% 20.83/14.45 (~v155(constB116)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32259, 22593, 32256])).
% 20.83/14.45 tff(32261,plain,
% 20.83/14.45 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB116)) | (~v141(constB116)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB116)) | (~v141(constB116)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32262,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB116)) | (~v141(constB116)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32263,plain,
% 20.83/14.45 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB116)) | (~v141(constB116))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32262, 32261])).
% 20.83/14.45 tff(32264,plain,
% 20.83/14.45 (~v141(constB116)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32263, 22474, 14656])).
% 20.83/14.45 tff(32265,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB116) | (~v154(constB116)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB116) | (~v154(constB116)))),
% 20.83/14.45 inference(rewrite,[status(thm)],[])).
% 20.83/14.45 tff(32266,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB116) | (~v154(constB116)))),
% 20.83/14.45 inference(quant_inst,[status(thm)],[])).
% 20.83/14.45 tff(32267,plain,
% 20.83/14.45 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB116) | (~v154(constB116))),
% 20.83/14.45 inference(modus_ponens,[status(thm)],[32266, 32265])).
% 20.83/14.45 tff(32268,plain,
% 20.83/14.45 (~v154(constB116)),
% 20.83/14.45 inference(unit_resolution,[status(thm)],[32267, 22608, 32264])).
% 20.83/14.45 tff(32269,plain,
% 20.83/14.45 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB116) | (~v153(constB116)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB116) | (~v153(constB116)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32270,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB116) | (~v153(constB116)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32271,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB116) | (~v153(constB116))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32270, 32269])).
% 20.83/14.46 tff(32272,plain,
% 20.83/14.46 (~v153(constB116)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32271, 22619, 32268])).
% 20.83/14.46 tff(32273,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB116) | v155(constB116) | (~v150(constB116)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB116) | v155(constB116) | (~v150(constB116)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32274,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB116) | v155(constB116) | (~v150(constB116)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32275,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB116) | v155(constB116) | (~v150(constB116))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32274, 32273])).
% 20.83/14.46 tff(32276,plain,
% 20.83/14.46 (v155(constB116) | (~v150(constB116))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32275, 22566, 32272])).
% 20.83/14.46 tff(32277,plain,
% 20.83/14.46 (~v150(constB116)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32276, 32260])).
% 20.83/14.46 tff(32278,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB116, constB117)) | v150(constB116) | (~v152(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB116, constB117)) | v150(constB116) | (~v152(constB117)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32279,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB116, constB117)) | v150(constB116) | (~v152(constB117)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32280,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB116, constB117)) | v150(constB116) | (~v152(constB117))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32279, 32278])).
% 20.83/14.46 tff(32281,plain,
% 20.83/14.46 (v150(constB116) | (~v152(constB117))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32280, 22581, 14701])).
% 20.83/14.46 tff(32282,plain,
% 20.83/14.46 (~v152(constB117)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32281, 32277])).
% 20.83/14.46 tff(32283,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB117) | (~v164(constB117)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB117) | (~v164(constB117)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32284,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB117) | (~v164(constB117)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32285,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB117) | (~v164(constB117))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32284, 32283])).
% 20.83/14.46 tff(32286,plain,
% 20.83/14.46 (~v164(constB117)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32285, 22640, 32282])).
% 20.83/14.46 tff(32287,plain,
% 20.83/14.46 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB117)) | (~v163(constB117)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB117)) | (~v163(constB117)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32288,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB117)) | (~v163(constB117)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32289,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB117)) | (~v163(constB117))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32288, 32287])).
% 20.83/14.46 tff(32290,plain,
% 20.83/14.46 (~v163(constB117)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32289, 22781, 31679])).
% 20.83/14.46 tff(32291,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB117)) | v163(constB117) | v164(constB117))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB117)) | v163(constB117) | v164(constB117))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32292,plain,
% 20.83/14.46 ((v164(constB117) | v163(constB117) | (~v160(constB117))) <=> ((~v160(constB117)) | v163(constB117) | v164(constB117))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32293,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB117) | v163(constB117) | (~v160(constB117)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB117)) | v163(constB117) | v164(constB117)))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32292])).
% 20.83/14.46 tff(32294,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB117) | v163(constB117) | (~v160(constB117)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB117)) | v163(constB117) | v164(constB117))),
% 20.83/14.46 inference(transitivity,[status(thm)],[32293, 32291])).
% 20.83/14.46 tff(32295,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB117) | v163(constB117) | (~v160(constB117)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32296,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB117)) | v163(constB117) | v164(constB117)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32295, 32294])).
% 20.83/14.46 tff(32297,plain,
% 20.83/14.46 ((~v160(constB117)) | v164(constB117)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32296, 22795, 32290])).
% 20.83/14.46 tff(32298,plain,
% 20.83/14.46 (~v160(constB117)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32297, 32286])).
% 20.83/14.46 tff(32299,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB117, constB118)) | v160(constB117) | (~v162(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB117, constB118)) | v160(constB117) | (~v162(constB118)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32300,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB117, constB118)) | v160(constB117) | (~v162(constB118)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32301,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB117, constB118)) | v160(constB117) | (~v162(constB118))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32300, 32299])).
% 20.83/14.46 tff(32302,plain,
% 20.83/14.46 (v160(constB117) | (~v162(constB118))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32301, 22813, 14823])).
% 20.83/14.46 tff(32303,plain,
% 20.83/14.46 (~v162(constB118)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32302, 32298])).
% 20.83/14.46 tff(32304,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB118) | (~v163(constB118)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB118) | (~v163(constB118)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32305,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB118) | (~v163(constB118)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32306,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB118) | (~v163(constB118))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32305, 32304])).
% 20.83/14.46 tff(32307,plain,
% 20.83/14.46 (~v163(constB118)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32306, 22825, 32303])).
% 20.83/14.46 tff(32308,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB118) | (~v154(constB118)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB118) | (~v154(constB118)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32309,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB118) | (~v154(constB118)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32310,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB118) | (~v154(constB118))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32309, 32308])).
% 20.83/14.46 tff(32311,plain,
% 20.83/14.46 (~v154(constB118)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32310, 22608, 31704])).
% 20.83/14.46 tff(32312,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB118) | (~v164(constB118)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB118) | (~v164(constB118)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32313,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB118) | (~v164(constB118)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32314,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB118) | (~v164(constB118))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32313, 32312])).
% 20.83/14.46 tff(32315,plain,
% 20.83/14.46 (~v164(constB118)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32314, 22836, 32311])).
% 20.83/14.46 tff(32316,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB118)) | v164(constB118) | v163(constB118))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB118)) | v164(constB118) | v163(constB118))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32317,plain,
% 20.83/14.46 ((v164(constB118) | v163(constB118) | (~v160(constB118))) <=> ((~v160(constB118)) | v164(constB118) | v163(constB118))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32318,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB118) | v163(constB118) | (~v160(constB118)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB118)) | v164(constB118) | v163(constB118)))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32317])).
% 20.83/14.46 tff(32319,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB118) | v163(constB118) | (~v160(constB118)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB118)) | v164(constB118) | v163(constB118))),
% 20.83/14.46 inference(transitivity,[status(thm)],[32318, 32316])).
% 20.83/14.46 tff(32320,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB118) | v163(constB118) | (~v160(constB118)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32321,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB118)) | v164(constB118) | v163(constB118)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 20.83/14.46 tff(32322,plain,
% 20.83/14.46 ((~v160(constB118)) | v163(constB118)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32321, 22795, 32315])).
% 20.83/14.46 tff(32323,plain,
% 20.83/14.46 (~v160(constB118)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32322, 32307])).
% 20.83/14.46 tff(32324,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB118, constB119)) | v160(constB118) | (~v162(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB118, constB119)) | v160(constB118) | (~v162(constB119)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32325,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB118, constB119)) | v160(constB118) | (~v162(constB119)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32326,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB118, constB119)) | v160(constB118) | (~v162(constB119))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32325, 32324])).
% 20.83/14.46 tff(32327,plain,
% 20.83/14.46 (v160(constB118) | (~v162(constB119))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32326, 22813, 14897])).
% 20.83/14.46 tff(32328,plain,
% 20.83/14.46 (~v162(constB119)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32327, 32323])).
% 20.83/14.46 tff(32329,plain,
% 20.83/14.46 ($false),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32328, 32121])).
% 20.83/14.46 tff(32330,plain,(~(constB119 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.46 tff(32331,assumption,(constB142 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.46 tff(32332,plain,
% 20.83/14.46 (v1(constB142) <=> v1(sK0_VarCurr)),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32331])).
% 20.83/14.46 tff(32333,plain,
% 20.83/14.46 (v1(sK0_VarCurr) <=> v1(constB142)),
% 20.83/14.46 inference(symmetry,[status(thm)],[32332])).
% 20.83/14.46 tff(32334,plain,
% 20.83/14.46 ((~v1(sK0_VarCurr)) <=> (~v1(constB142))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32333])).
% 20.83/14.46 tff(32335,plain,
% 20.83/14.46 (~v1(constB142)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[23510, 32334])).
% 20.83/14.46 tff(32336,plain,
% 20.83/14.46 ($false),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[17413, 32335])).
% 20.83/14.46 tff(32337,plain,(~(constB142 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.46 tff(32338,assumption,(constB156 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.46 tff(32339,plain,
% 20.83/14.46 (v1(constB156) <=> v1(sK0_VarCurr)),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32338])).
% 20.83/14.46 tff(32340,plain,
% 20.83/14.46 (v1(sK0_VarCurr) <=> v1(constB156)),
% 20.83/14.46 inference(symmetry,[status(thm)],[32339])).
% 20.83/14.46 tff(32341,plain,
% 20.83/14.46 ((~v1(sK0_VarCurr)) <=> (~v1(constB156))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32340])).
% 20.83/14.46 tff(32342,plain,
% 20.83/14.46 (~v1(constB156)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[23510, 32341])).
% 20.83/14.46 tff(32343,plain,
% 20.83/14.46 ($false),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[18868, 32342])).
% 20.83/14.46 tff(32344,plain,(~(constB156 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.46 tff(32345,assumption,(constB154 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.46 tff(32346,plain,
% 20.83/14.46 (v1(constB154) <=> v1(sK0_VarCurr)),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32345])).
% 20.83/14.46 tff(32347,plain,
% 20.83/14.46 (v1(sK0_VarCurr) <=> v1(constB154)),
% 20.83/14.46 inference(symmetry,[status(thm)],[32346])).
% 20.83/14.46 tff(32348,plain,
% 20.83/14.46 ((~v1(sK0_VarCurr)) <=> (~v1(constB154))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32347])).
% 20.83/14.46 tff(32349,plain,
% 20.83/14.46 (~v1(constB154)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[23510, 32348])).
% 20.83/14.46 tff(32350,plain,
% 20.83/14.46 ($false),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[18705, 32349])).
% 20.83/14.46 tff(32351,plain,(~(constB154 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.46 tff(32352,assumption,(constB65 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.46 tff(32353,plain,
% 20.83/14.46 (v162(constB65) <=> v162(sK0_VarCurr)),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32352])).
% 20.83/14.46 tff(32354,plain,
% 20.83/14.46 (v162(sK0_VarCurr) <=> v162(constB65)),
% 20.83/14.46 inference(symmetry,[status(thm)],[32353])).
% 20.83/14.46 tff(32355,plain,
% 20.83/14.46 (v162(constB65)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[22337, 32354])).
% 20.83/14.46 tff(32356,plain,
% 20.83/14.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB59, bitIndex2)) | (~v145(constB59)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB59, bitIndex2)) | (~v145(constB59)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32357,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB59, bitIndex2)) | (~v145(constB59)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32358,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB59, bitIndex2)) | (~v145(constB59))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 20.83/14.46 tff(32359,plain,
% 20.83/14.46 (~v145(constB59)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32358, 10327, 6730])).
% 20.83/14.46 tff(32360,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32361,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32362,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32361, 32360])).
% 20.83/14.46 tff(32363,plain,
% 20.83/14.46 (~v144(constB59)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32362, 22349, 32359])).
% 20.83/14.46 tff(32364,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32365,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32366,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32365, 32364])).
% 20.83/14.46 tff(32367,plain,
% 20.83/14.46 (~v142(constB59)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32366, 22360, 32363])).
% 20.83/14.46 tff(32368,plain,
% 20.83/14.46 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32369,plain,
% 20.83/14.46 (((~v140(constB59)) | (~v138(constB59))) <=> ((~v138(constB59)) | (~v140(constB59)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32370,plain,
% 20.83/14.46 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59))))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32369])).
% 20.83/14.46 tff(32371,plain,
% 20.83/14.46 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59)))),
% 20.83/14.46 inference(transitivity,[status(thm)],[32370, 32368])).
% 20.83/14.46 tff(32372,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32373,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32372, 32371])).
% 20.83/14.46 tff(32374,plain,
% 20.83/14.46 (~v138(constB59)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32373, 22419, 26042])).
% 20.83/14.46 tff(32375,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32376,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32377,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32376, 32375])).
% 20.83/14.46 tff(32378,plain,
% 20.83/14.46 (v142(constB59) | (~v135(constB59))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32377, 22436, 32374])).
% 20.83/14.46 tff(32379,plain,
% 20.83/14.46 (~v135(constB59)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32378, 32367])).
% 20.83/14.46 tff(32380,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32381,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32382,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32381, 32380])).
% 20.83/14.46 tff(32383,plain,
% 20.83/14.46 (v135(constB59) | (~v137(constB60))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32382, 22451, 6826])).
% 20.83/14.46 tff(32384,plain,
% 20.83/14.46 (~v137(constB60)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32383, 32379])).
% 20.83/14.46 tff(32385,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32386,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32387,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32386, 32385])).
% 20.83/14.46 tff(32388,plain,
% 20.83/14.46 (~v138(constB60)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32387, 22463, 32384])).
% 20.83/14.46 tff(32389,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32390,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32391,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32390, 32389])).
% 20.83/14.46 tff(32392,plain,
% 20.83/14.46 (~v144(constB60)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32391, 22485, 26064])).
% 20.83/14.46 tff(32393,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32394,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32395,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32394, 32393])).
% 20.83/14.46 tff(32396,plain,
% 20.83/14.46 (~v142(constB60)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32395, 22360, 32392])).
% 20.83/14.46 tff(32397,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32398,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32399,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32398, 32397])).
% 20.83/14.46 tff(32400,plain,
% 20.83/14.46 (v138(constB60) | (~v135(constB60))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32399, 22436, 32396])).
% 20.83/14.46 tff(32401,plain,
% 20.83/14.46 (~v135(constB60)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32400, 32388])).
% 20.83/14.46 tff(32402,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32403,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32404,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32403, 32402])).
% 20.83/14.46 tff(32405,plain,
% 20.83/14.46 (v135(constB60) | (~v137(constB61))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32404, 22451, 6888])).
% 20.83/14.46 tff(32406,plain,
% 20.83/14.46 (~v137(constB61)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32405, 32401])).
% 20.83/14.46 tff(32407,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB61) | (~v153(constB61)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB61) | (~v153(constB61)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32408,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB61) | (~v153(constB61)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32409,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB61) | (~v153(constB61))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32408, 32407])).
% 20.83/14.46 tff(32410,plain,
% 20.83/14.46 (~v153(constB61)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32409, 22510, 32406])).
% 20.83/14.46 tff(32411,plain,
% 20.83/14.46 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB61)) | (~v155(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB61)) | (~v155(constB61)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32412,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB61)) | (~v155(constB61)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32413,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB61)) | (~v155(constB61))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32412, 32411])).
% 20.83/14.46 tff(32414,plain,
% 20.83/14.46 (~v155(constB61)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32413, 22552, 26117])).
% 20.83/14.46 tff(32415,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v155(constB61) | (~v150(constB61)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v155(constB61) | (~v150(constB61)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32416,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v155(constB61) | (~v150(constB61)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32417,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v155(constB61) | (~v150(constB61))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32416, 32415])).
% 20.83/14.46 tff(32418,plain,
% 20.83/14.46 (v153(constB61) | (~v150(constB61))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32417, 22566, 32414])).
% 20.83/14.46 tff(32419,plain,
% 20.83/14.46 (~v150(constB61)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32418, 32410])).
% 20.83/14.46 tff(32420,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32421,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32422,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32421, 32420])).
% 20.83/14.46 tff(32423,plain,
% 20.83/14.46 (v150(constB61) | (~v152(constB62))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32422, 22581, 7001])).
% 20.83/14.46 tff(32424,plain,
% 20.83/14.46 (~v152(constB62)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32423, 32419])).
% 20.83/14.46 tff(32425,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB62) | (~v155(constB62)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB62) | (~v155(constB62)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32426,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB62) | (~v155(constB62)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32427,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB62) | (~v155(constB62))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32426, 32425])).
% 20.83/14.46 tff(32428,plain,
% 20.83/14.46 (~v155(constB62)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32427, 22593, 32424])).
% 20.83/14.46 tff(32429,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB62) | (~v153(constB62)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB62) | (~v153(constB62)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32430,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB62) | (~v153(constB62)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32431,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB62) | (~v153(constB62))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 20.83/14.46 tff(32432,plain,
% 20.83/14.46 (~v153(constB62)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32431, 22619, 26146])).
% 20.83/14.46 tff(32433,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v155(constB62) | (~v150(constB62)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v155(constB62) | (~v150(constB62)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32434,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v155(constB62) | (~v150(constB62)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32435,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v155(constB62) | (~v150(constB62))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32434, 32433])).
% 20.83/14.46 tff(32436,plain,
% 20.83/14.46 (v155(constB62) | (~v150(constB62))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32435, 22566, 32432])).
% 20.83/14.46 tff(32437,plain,
% 20.83/14.46 (~v150(constB62)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32436, 32428])).
% 20.83/14.46 tff(32438,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32439,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32440,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32439, 32438])).
% 20.83/14.46 tff(32441,plain,
% 20.83/14.46 (v150(constB62) | (~v152(constB63))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32440, 22581, 7093])).
% 20.83/14.46 tff(32442,plain,
% 20.83/14.46 (~v152(constB63)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32441, 32437])).
% 20.83/14.46 tff(32443,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB63) | (~v164(constB63)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB63) | (~v164(constB63)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32444,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB63) | (~v164(constB63)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32445,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB63) | (~v164(constB63))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32444, 32443])).
% 20.83/14.46 tff(32446,plain,
% 20.83/14.46 (~v164(constB63)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32445, 22640, 32442])).
% 20.83/14.46 tff(32447,plain,
% 20.83/14.46 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB63)) | (~v163(constB63)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB63)) | (~v163(constB63)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32448,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB63)) | (~v163(constB63)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32449,plain,
% 20.83/14.46 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB63)) | (~v163(constB63))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32448, 32447])).
% 20.83/14.46 tff(32450,plain,
% 20.83/14.46 (~v163(constB63)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32449, 22781, 30318])).
% 20.83/14.46 tff(32451,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB63)) | v164(constB63) | v163(constB63))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB63)) | v164(constB63) | v163(constB63))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32452,plain,
% 20.83/14.46 ((v164(constB63) | v163(constB63) | (~v160(constB63))) <=> ((~v160(constB63)) | v164(constB63) | v163(constB63))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32453,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB63) | v163(constB63) | (~v160(constB63)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB63)) | v164(constB63) | v163(constB63)))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32452])).
% 20.83/14.46 tff(32454,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB63) | v163(constB63) | (~v160(constB63)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB63)) | v164(constB63) | v163(constB63))),
% 20.83/14.46 inference(transitivity,[status(thm)],[32453, 32451])).
% 20.83/14.46 tff(32455,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB63) | v163(constB63) | (~v160(constB63)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32456,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB63)) | v164(constB63) | v163(constB63)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32455, 32454])).
% 20.83/14.46 tff(32457,plain,
% 20.83/14.46 ((~v160(constB63)) | v164(constB63)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32456, 22795, 32450])).
% 20.83/14.46 tff(32458,plain,
% 20.83/14.46 (~v160(constB63)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32457, 32446])).
% 20.83/14.46 tff(32459,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32460,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32461,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32460, 32459])).
% 20.83/14.46 tff(32462,plain,
% 20.83/14.46 (v160(constB63) | (~v162(constB64))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32461, 22813, 7232])).
% 20.83/14.46 tff(32463,plain,
% 20.83/14.46 (~v162(constB64)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32462, 32458])).
% 20.83/14.46 tff(32464,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB64) | (~v163(constB64)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB64) | (~v163(constB64)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32465,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB64) | (~v163(constB64)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32466,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB64) | (~v163(constB64))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32465, 32464])).
% 20.83/14.46 tff(32467,plain,
% 20.83/14.46 (~v163(constB64)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32466, 22825, 32463])).
% 20.83/14.46 tff(32468,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB64) | (~v164(constB64)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB64) | (~v164(constB64)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32469,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB64) | (~v164(constB64)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32470,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB64) | (~v164(constB64))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32469, 32468])).
% 20.83/14.46 tff(32471,plain,
% 20.83/14.46 (~v164(constB64)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32470, 22836, 30344])).
% 20.83/14.46 tff(32472,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB64)) | v164(constB64) | v163(constB64))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB64)) | v164(constB64) | v163(constB64))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32473,plain,
% 20.83/14.46 ((v164(constB64) | v163(constB64) | (~v160(constB64))) <=> ((~v160(constB64)) | v164(constB64) | v163(constB64))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32474,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB64) | v163(constB64) | (~v160(constB64)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB64)) | v164(constB64) | v163(constB64)))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32473])).
% 20.83/14.46 tff(32475,plain,
% 20.83/14.46 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB64) | v163(constB64) | (~v160(constB64)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB64)) | v164(constB64) | v163(constB64))),
% 20.83/14.46 inference(transitivity,[status(thm)],[32474, 32472])).
% 20.83/14.46 tff(32476,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB64) | v163(constB64) | (~v160(constB64)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32477,plain,
% 20.83/14.46 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB64)) | v164(constB64) | v163(constB64)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32476, 32475])).
% 20.83/14.46 tff(32478,plain,
% 20.83/14.46 ((~v160(constB64)) | v163(constB64)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32477, 22795, 32471])).
% 20.83/14.46 tff(32479,plain,
% 20.83/14.46 (~v160(constB64)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32478, 32467])).
% 20.83/14.46 tff(32480,plain,
% 20.83/14.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))),
% 20.83/14.46 inference(rewrite,[status(thm)],[])).
% 20.83/14.46 tff(32481,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))),
% 20.83/14.46 inference(quant_inst,[status(thm)],[])).
% 20.83/14.46 tff(32482,plain,
% 20.83/14.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65))),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[32481, 32480])).
% 20.83/14.46 tff(32483,plain,
% 20.83/14.46 (v160(constB64) | (~v162(constB65))),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32482, 22813, 7297])).
% 20.83/14.46 tff(32484,plain,
% 20.83/14.46 (~v162(constB65)),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32483, 32479])).
% 20.83/14.46 tff(32485,plain,
% 20.83/14.46 ($false),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[32484, 32355])).
% 20.83/14.46 tff(32486,plain,(~(constB65 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.46 tff(32487,assumption,(constB66 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.46 tff(32488,plain,
% 20.83/14.46 (v1(constB66) <=> v1(sK0_VarCurr)),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32487])).
% 20.83/14.46 tff(32489,plain,
% 20.83/14.46 (v1(sK0_VarCurr) <=> v1(constB66)),
% 20.83/14.46 inference(symmetry,[status(thm)],[32488])).
% 20.83/14.46 tff(32490,plain,
% 20.83/14.46 ((~v1(sK0_VarCurr)) <=> (~v1(constB66))),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32489])).
% 20.83/14.46 tff(32491,plain,
% 20.83/14.46 (~v1(constB66)),
% 20.83/14.46 inference(modus_ponens,[status(thm)],[23510, 32490])).
% 20.83/14.46 tff(32492,plain,
% 20.83/14.46 ($false),
% 20.83/14.46 inference(unit_resolution,[status(thm)],[7443, 32491])).
% 20.83/14.46 tff(32493,plain,(~(constB66 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.46 tff(32494,assumption,(constB113 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.46 tff(32495,plain,
% 20.83/14.46 (v162(constB113) <=> v162(sK0_VarCurr)),
% 20.83/14.46 inference(monotonicity,[status(thm)],[32494])).
% 20.83/14.46 tff(32496,plain,
% 20.83/14.46 (v162(sK0_VarCurr) <=> v162(constB113)),
% 20.83/14.46 inference(symmetry,[status(thm)],[32495])).
% 20.83/14.47 tff(32497,plain,
% 20.83/14.47 (v162(constB113)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[22337, 32496])).
% 20.83/14.47 tff(32498,plain,
% 20.83/14.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB107, bitIndex2)) | (~v145(constB107)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32499,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v145(constB107)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32500,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB107, bitIndex2)) | (~v145(constB107))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32499, 32498])).
% 20.83/14.47 tff(32501,plain,
% 20.83/14.47 (~v145(constB107)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32500, 10327, 13757])).
% 20.83/14.47 tff(32502,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB107) | (~v144(constB107)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB107) | (~v144(constB107)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32503,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB107) | (~v144(constB107)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32504,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB107) | (~v144(constB107))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32503, 32502])).
% 20.83/14.47 tff(32505,plain,
% 20.83/14.47 (~v144(constB107)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32504, 22349, 32501])).
% 20.83/14.47 tff(32506,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB107) | (~v142(constB107)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB107) | (~v142(constB107)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32507,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB107) | (~v142(constB107)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32508,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB107) | (~v142(constB107))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32507, 32506])).
% 20.83/14.47 tff(32509,plain,
% 20.83/14.47 (~v142(constB107)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32508, 22360, 32505])).
% 20.83/14.47 tff(32510,plain,
% 20.83/14.47 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB107)) | (~v140(constB107)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB107)) | (~v140(constB107)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32511,plain,
% 20.83/14.47 (((~v140(constB107)) | (~v138(constB107))) <=> ((~v138(constB107)) | (~v140(constB107)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32512,plain,
% 20.83/14.47 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB107)) | (~v138(constB107)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB107)) | (~v140(constB107))))),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32511])).
% 20.83/14.47 tff(32513,plain,
% 20.83/14.47 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB107)) | (~v138(constB107)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB107)) | (~v140(constB107)))),
% 20.83/14.47 inference(transitivity,[status(thm)],[32512, 32510])).
% 20.83/14.47 tff(32514,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB107)) | (~v138(constB107)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32515,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB107)) | (~v140(constB107))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32514, 32513])).
% 20.83/14.47 tff(32516,plain,
% 20.83/14.47 (~v138(constB107)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32515, 22419, 23675])).
% 20.83/14.47 tff(32517,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB107) | v142(constB107) | (~v135(constB107)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB107) | v142(constB107) | (~v135(constB107)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32518,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB107) | v142(constB107) | (~v135(constB107)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32519,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB107) | v142(constB107) | (~v135(constB107))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32518, 32517])).
% 20.83/14.47 tff(32520,plain,
% 20.83/14.47 (v142(constB107) | (~v135(constB107))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32519, 22436, 32516])).
% 20.83/14.47 tff(32521,plain,
% 20.83/14.47 (~v135(constB107)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32520, 32509])).
% 20.83/14.47 tff(32522,plain,
% 20.83/14.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB107, constB108)) | v135(constB107) | (~v137(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB107, constB108)) | v135(constB107) | (~v137(constB108)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32523,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB107, constB108)) | v135(constB107) | (~v137(constB108)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32524,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB107, constB108)) | v135(constB107) | (~v137(constB108))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32523, 32522])).
% 20.83/14.47 tff(32525,plain,
% 20.83/14.47 (v135(constB107) | (~v137(constB108))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32524, 22451, 13850])).
% 20.83/14.47 tff(32526,plain,
% 20.83/14.47 (~v137(constB108)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32525, 32521])).
% 20.83/14.47 tff(32527,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB108) | (~v138(constB108)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB108) | (~v138(constB108)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32528,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB108) | (~v138(constB108)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32529,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB108) | (~v138(constB108))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32528, 32527])).
% 20.83/14.47 tff(32530,plain,
% 20.83/14.47 (~v138(constB108)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32529, 22463, 32526])).
% 20.83/14.47 tff(32531,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB108) | (~v144(constB108)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB108) | (~v144(constB108)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32532,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB108) | (~v144(constB108)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32533,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB108) | (~v144(constB108))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32532, 32531])).
% 20.83/14.47 tff(32534,plain,
% 20.83/14.47 (~v144(constB108)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32533, 22485, 23697])).
% 20.83/14.47 tff(32535,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB108) | (~v142(constB108)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB108) | (~v142(constB108)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32536,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB108) | (~v142(constB108)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32537,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB108) | (~v142(constB108))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32536, 32535])).
% 20.83/14.47 tff(32538,plain,
% 20.83/14.47 (~v142(constB108)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32537, 22360, 32534])).
% 20.83/14.47 tff(32539,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB108) | v142(constB108) | (~v135(constB108)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB108) | v142(constB108) | (~v135(constB108)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32540,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB108) | v142(constB108) | (~v135(constB108)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32541,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB108) | v142(constB108) | (~v135(constB108))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32540, 32539])).
% 20.83/14.47 tff(32542,plain,
% 20.83/14.47 (v138(constB108) | (~v135(constB108))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32541, 22436, 32538])).
% 20.83/14.47 tff(32543,plain,
% 20.83/14.47 (~v135(constB108)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32542, 32530])).
% 20.83/14.47 tff(32544,plain,
% 20.83/14.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB108, constB109)) | v135(constB108) | (~v137(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB108, constB109)) | v135(constB108) | (~v137(constB109)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32545,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB108, constB109)) | v135(constB108) | (~v137(constB109)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32546,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB108, constB109)) | v135(constB108) | (~v137(constB109))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32545, 32544])).
% 20.83/14.47 tff(32547,plain,
% 20.83/14.47 (v135(constB108) | (~v137(constB109))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32546, 22451, 13912])).
% 20.83/14.47 tff(32548,plain,
% 20.83/14.47 (~v137(constB109)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32547, 32543])).
% 20.83/14.47 tff(32549,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB109) | (~v153(constB109)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB109) | (~v153(constB109)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32550,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB109) | (~v153(constB109)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32551,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB109) | (~v153(constB109))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32550, 32549])).
% 20.83/14.47 tff(32552,plain,
% 20.83/14.47 (~v153(constB109)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32551, 22510, 32548])).
% 20.83/14.47 tff(32553,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB109) | (~v155(constB109)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB109) | (~v155(constB109)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32554,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB109) | (~v155(constB109)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32555,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB109) | (~v155(constB109))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32554, 32553])).
% 20.83/14.47 tff(32556,plain,
% 20.83/14.47 (~v155(constB109)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32555, 22593, 23715])).
% 20.83/14.47 tff(32557,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB109) | v155(constB109) | (~v150(constB109)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB109) | v155(constB109) | (~v150(constB109)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32558,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB109) | v155(constB109) | (~v150(constB109)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32559,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB109) | v155(constB109) | (~v150(constB109))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32558, 32557])).
% 20.83/14.47 tff(32560,plain,
% 20.83/14.47 (v153(constB109) | (~v150(constB109))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32559, 22566, 32556])).
% 20.83/14.47 tff(32561,plain,
% 20.83/14.47 (~v150(constB109)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32560, 32552])).
% 20.83/14.47 tff(32562,plain,
% 20.83/14.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB109, constB110)) | v150(constB109) | (~v152(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB109, constB110)) | v150(constB109) | (~v152(constB110)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32563,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB109, constB110)) | v150(constB109) | (~v152(constB110)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32564,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB109, constB110)) | v150(constB109) | (~v152(constB110))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32563, 32562])).
% 20.83/14.47 tff(32565,plain,
% 20.83/14.47 (v150(constB109) | (~v152(constB110))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32564, 22581, 14010])).
% 20.83/14.47 tff(32566,plain,
% 20.83/14.47 (~v152(constB110)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32565, 32561])).
% 20.83/14.47 tff(32567,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB110) | (~v155(constB110)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB110) | (~v155(constB110)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32568,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB110) | (~v155(constB110)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32569,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB110) | (~v155(constB110))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32568, 32567])).
% 20.83/14.47 tff(32570,plain,
% 20.83/14.47 (~v155(constB110)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32569, 22593, 32566])).
% 20.83/14.47 tff(32571,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB110) | (~v153(constB110)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB110) | (~v153(constB110)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32572,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB110) | (~v153(constB110)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32573,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB110) | (~v153(constB110))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32572, 32571])).
% 20.83/14.47 tff(32574,plain,
% 20.83/14.47 (~v153(constB110)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32573, 22619, 23916])).
% 20.83/14.47 tff(32575,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB110) | v155(constB110) | (~v150(constB110)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB110) | v155(constB110) | (~v150(constB110)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32576,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB110) | v155(constB110) | (~v150(constB110)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32577,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB110) | v155(constB110) | (~v150(constB110))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32576, 32575])).
% 20.83/14.47 tff(32578,plain,
% 20.83/14.47 (v155(constB110) | (~v150(constB110))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32577, 22566, 32574])).
% 20.83/14.47 tff(32579,plain,
% 20.83/14.47 (~v150(constB110)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32578, 32570])).
% 20.83/14.47 tff(32580,plain,
% 20.83/14.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB110, constB111)) | v150(constB110) | (~v152(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB110, constB111)) | v150(constB110) | (~v152(constB111)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32581,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB110, constB111)) | v150(constB110) | (~v152(constB111)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32582,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB110, constB111)) | v150(constB110) | (~v152(constB111))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32581, 32580])).
% 20.83/14.47 tff(32583,plain,
% 20.83/14.47 (v150(constB110) | (~v152(constB111))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32582, 22581, 14121])).
% 20.83/14.47 tff(32584,plain,
% 20.83/14.47 (~v152(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32583, 32579])).
% 20.83/14.47 tff(32585,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB111) | (~v164(constB111)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB111) | (~v164(constB111)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32586,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB111) | (~v164(constB111)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32587,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB111) | (~v164(constB111))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32586, 32585])).
% 20.83/14.47 tff(32588,plain,
% 20.83/14.47 (~v164(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32587, 22640, 32584])).
% 20.83/14.47 tff(32589,assumption,(v18(constB112)), introduced(assumption)).
% 20.83/14.47 tff(32590,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB112))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32591,plain,
% 20.83/14.47 ($false),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32590, 2627, 32589])).
% 20.83/14.47 tff(32592,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.47 tff(32593,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32594,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32595,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32594, 32593])).
% 20.83/14.47 tff(32596,plain,
% 20.83/14.47 (v22(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32595, 2640, 14275])).
% 20.83/14.47 tff(32597,plain,
% 20.83/14.47 (((~![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))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32598,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB112)) | (~v22(constB112)) | v18(constB112))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32599,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB112)) | (~v22(constB112)) | v18(constB112)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32598, 32597])).
% 20.83/14.47 tff(32600,plain,
% 20.83/14.47 ((~v19(constB112)) | v18(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32599, 2654, 32596])).
% 20.83/14.47 tff(32601,plain,
% 20.83/14.47 (~v19(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32600, 32592])).
% 20.83/14.47 tff(32602,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32603,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32604,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32603, 32602])).
% 20.83/14.47 tff(32605,plain,
% 20.83/14.47 (v13(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32604, 2669, 32601])).
% 20.83/14.47 tff(32606,plain,
% 20.83/14.47 (((~![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))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32607,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32608,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB111, constB112)) | (~v13(constB112)) | v9(constB111)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32607, 32606])).
% 20.83/14.47 tff(32609,plain,
% 20.83/14.47 ((~v13(constB112)) | v9(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32608, 2686, 14255])).
% 20.83/14.47 tff(32610,plain,
% 20.83/14.47 (v9(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32609, 32605])).
% 20.83/14.47 tff(32611,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v141(constB111))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB111) | (~v9(constB111)) | v141(constB111))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32612,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v141(constB111))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32613,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB111) | (~v9(constB111)) | v141(constB111)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32612, 32611])).
% 20.83/14.47 tff(32614,plain,
% 20.83/14.47 ((~v9(constB111)) | v141(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32613, 22396, 14118])).
% 20.83/14.47 tff(32615,plain,
% 20.83/14.47 (v141(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32614, 32610])).
% 20.83/14.47 tff(32616,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB111) | (~v141(constB111)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB111) | (~v141(constB111)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32617,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB111) | (~v141(constB111)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32618,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB111) | (~v141(constB111))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32617, 32616])).
% 20.83/14.47 tff(32619,plain,
% 20.83/14.47 (v140(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32618, 22408, 32615])).
% 20.83/14.47 tff(32620,plain,
% 20.83/14.47 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB111)) | (~v163(constB111)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB111)) | (~v163(constB111)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32621,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB111)) | (~v163(constB111)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32622,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB111)) | (~v163(constB111))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32621, 32620])).
% 20.83/14.47 tff(32623,plain,
% 20.83/14.47 (~v163(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32622, 22781, 32619])).
% 20.83/14.47 tff(32624,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB111)) | v164(constB111) | v163(constB111))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB111)) | v164(constB111) | v163(constB111))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32625,plain,
% 20.83/14.47 ((v164(constB111) | v163(constB111) | (~v160(constB111))) <=> ((~v160(constB111)) | v164(constB111) | v163(constB111))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32626,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB111) | v163(constB111) | (~v160(constB111)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB111)) | v164(constB111) | v163(constB111)))),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32625])).
% 20.83/14.47 tff(32627,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB111) | v163(constB111) | (~v160(constB111)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB111)) | v164(constB111) | v163(constB111))),
% 20.83/14.47 inference(transitivity,[status(thm)],[32626, 32624])).
% 20.83/14.47 tff(32628,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB111) | v163(constB111) | (~v160(constB111)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32629,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB111)) | v164(constB111) | v163(constB111)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32628, 32627])).
% 20.83/14.47 tff(32630,plain,
% 20.83/14.47 ((~v160(constB111)) | v164(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32629, 22795, 32623])).
% 20.83/14.47 tff(32631,plain,
% 20.83/14.47 (~v160(constB111)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32630, 32588])).
% 20.83/14.47 tff(32632,plain,
% 20.83/14.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB111, constB112)) | v160(constB111) | (~v162(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB111, constB112)) | v160(constB111) | (~v162(constB112)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32633,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB111, constB112)) | v160(constB111) | (~v162(constB112)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32634,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB111, constB112)) | v160(constB111) | (~v162(constB112))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32633, 32632])).
% 20.83/14.47 tff(32635,plain,
% 20.83/14.47 (v160(constB111) | (~v162(constB112))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32634, 22813, 14255])).
% 20.83/14.47 tff(32636,plain,
% 20.83/14.47 (~v162(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32635, 32631])).
% 20.83/14.47 tff(32637,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB112) | (~v163(constB112)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB112) | (~v163(constB112)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32638,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB112) | (~v163(constB112)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32639,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB112) | (~v163(constB112))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32638, 32637])).
% 20.83/14.47 tff(32640,plain,
% 20.83/14.47 (~v163(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32639, 22825, 32636])).
% 20.83/14.47 tff(32641,plain,
% 20.83/14.47 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB112)) | (~v141(constB112)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB112)) | (~v141(constB112)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32642,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB112)) | (~v141(constB112)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32643,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB112)) | (~v141(constB112))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32642, 32641])).
% 20.83/14.47 tff(32644,plain,
% 20.83/14.47 (~v141(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32643, 22474, 14275])).
% 20.83/14.47 tff(32645,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB112) | (~v154(constB112)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB112) | (~v154(constB112)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32646,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB112) | (~v154(constB112)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32647,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB112) | (~v154(constB112))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32646, 32645])).
% 20.83/14.47 tff(32648,plain,
% 20.83/14.47 (~v154(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32647, 22608, 32644])).
% 20.83/14.47 tff(32649,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB112) | (~v164(constB112)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB112) | (~v164(constB112)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32650,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB112) | (~v164(constB112)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32651,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB112) | (~v164(constB112))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32650, 32649])).
% 20.83/14.47 tff(32652,plain,
% 20.83/14.47 (~v164(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32651, 22836, 32648])).
% 20.83/14.47 tff(32653,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB112)) | v164(constB112) | v163(constB112))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB112)) | v164(constB112) | v163(constB112))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32654,plain,
% 20.83/14.47 ((v164(constB112) | v163(constB112) | (~v160(constB112))) <=> ((~v160(constB112)) | v164(constB112) | v163(constB112))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32655,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB112) | v163(constB112) | (~v160(constB112)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB112)) | v164(constB112) | v163(constB112)))),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32654])).
% 20.83/14.47 tff(32656,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB112) | v163(constB112) | (~v160(constB112)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB112)) | v164(constB112) | v163(constB112))),
% 20.83/14.47 inference(transitivity,[status(thm)],[32655, 32653])).
% 20.83/14.47 tff(32657,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB112) | v163(constB112) | (~v160(constB112)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32658,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB112)) | v164(constB112) | v163(constB112)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32657, 32656])).
% 20.83/14.47 tff(32659,plain,
% 20.83/14.47 ((~v160(constB112)) | v163(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32658, 22795, 32652])).
% 20.83/14.47 tff(32660,plain,
% 20.83/14.47 (~v160(constB112)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32659, 32640])).
% 20.83/14.47 tff(32661,plain,
% 20.83/14.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB112, constB113)) | v160(constB112) | (~v162(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB112, constB113)) | v160(constB112) | (~v162(constB113)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32662,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB112, constB113)) | v160(constB112) | (~v162(constB113)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32663,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB112, constB113)) | v160(constB112) | (~v162(constB113))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32662, 32661])).
% 20.83/14.47 tff(32664,plain,
% 20.83/14.47 (v160(constB112) | (~v162(constB113))),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32663, 22813, 14320])).
% 20.83/14.47 tff(32665,plain,
% 20.83/14.47 (~v162(constB113)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32664, 32660])).
% 20.83/14.47 tff(32666,plain,
% 20.83/14.47 ($false),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32665, 32497])).
% 20.83/14.47 tff(32667,plain,(~(constB113 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.47 tff(32668,assumption,(constB158 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.47 tff(32669,plain,
% 20.83/14.47 (v1(constB158) <=> v1(sK0_VarCurr)),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32668])).
% 20.83/14.47 tff(32670,plain,
% 20.83/14.47 (v1(sK0_VarCurr) <=> v1(constB158)),
% 20.83/14.47 inference(symmetry,[status(thm)],[32669])).
% 20.83/14.47 tff(32671,plain,
% 20.83/14.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB158))),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32670])).
% 20.83/14.47 tff(32672,plain,
% 20.83/14.47 (~v1(constB158)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[23510, 32671])).
% 20.83/14.47 tff(32673,plain,
% 20.83/14.47 ($false),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[19004, 32672])).
% 20.83/14.47 tff(32674,plain,(~(constB158 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.47 tff(32675,assumption,(constB128 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.47 tff(32676,plain,
% 20.83/14.47 (v1(constB128) <=> v1(sK0_VarCurr)),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32675])).
% 20.83/14.47 tff(32677,plain,
% 20.83/14.47 (v1(sK0_VarCurr) <=> v1(constB128)),
% 20.83/14.47 inference(symmetry,[status(thm)],[32676])).
% 20.83/14.47 tff(32678,plain,
% 20.83/14.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB128))),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32677])).
% 20.83/14.47 tff(32679,plain,
% 20.83/14.47 (~v1(constB128)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[23510, 32678])).
% 20.83/14.47 tff(32680,plain,
% 20.83/14.47 ($false),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[15942, 32679])).
% 20.83/14.47 tff(32681,plain,(~(constB128 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.47 tff(32682,assumption,(constB132 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.47 tff(32683,plain,
% 20.83/14.47 (v1(constB132) <=> v1(sK0_VarCurr)),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32682])).
% 20.83/14.47 tff(32684,plain,
% 20.83/14.47 (v1(sK0_VarCurr) <=> v1(constB132)),
% 20.83/14.47 inference(symmetry,[status(thm)],[32683])).
% 20.83/14.47 tff(32685,plain,
% 20.83/14.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB132))),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32684])).
% 20.83/14.47 tff(32686,plain,
% 20.83/14.47 (~v1(constB132)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[23510, 32685])).
% 20.83/14.47 tff(32687,plain,
% 20.83/14.47 ($false),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[16319, 32686])).
% 20.83/14.47 tff(32688,plain,(~(constB132 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.47 tff(32689,assumption,(constB20 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.47 tff(32690,plain,
% 20.83/14.47 (v1(constB20) <=> v1(sK0_VarCurr)),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32689])).
% 20.83/14.47 tff(32691,plain,
% 20.83/14.47 (v1(sK0_VarCurr) <=> v1(constB20)),
% 20.83/14.47 inference(symmetry,[status(thm)],[32690])).
% 20.83/14.47 tff(32692,plain,
% 20.83/14.47 ((~v1(sK0_VarCurr)) <=> (~v1(constB20))),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32691])).
% 20.83/14.47 tff(32693,plain,
% 20.83/14.47 (~v1(constB20)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[23510, 32692])).
% 20.83/14.47 tff(32694,plain,
% 20.83/14.47 ($false),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[2633, 32693])).
% 20.83/14.47 tff(32695,plain,(~(constB20 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.47 tff(32696,assumption,(constB41 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.47 tff(32697,plain,
% 20.83/14.47 (v162(constB41) <=> v162(sK0_VarCurr)),
% 20.83/14.47 inference(monotonicity,[status(thm)],[32696])).
% 20.83/14.47 tff(32698,plain,
% 20.83/14.47 (v162(sK0_VarCurr) <=> v162(constB41)),
% 20.83/14.47 inference(symmetry,[status(thm)],[32697])).
% 20.83/14.47 tff(32699,plain,
% 20.83/14.47 (v162(constB41)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[22337, 32698])).
% 20.83/14.47 tff(32700,plain,
% 20.83/14.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB35, bitIndex2)) | (~v145(constB35)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB35, bitIndex2)) | (~v145(constB35)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32701,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB35, bitIndex2)) | (~v145(constB35)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32702,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB35, bitIndex2)) | (~v145(constB35))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32701, 32700])).
% 20.83/14.47 tff(32703,plain,
% 20.83/14.47 (~v145(constB35)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32702, 10327, 4236])).
% 20.83/14.47 tff(32704,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB35) | (~v144(constB35)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB35) | (~v144(constB35)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32705,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB35) | (~v144(constB35)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32706,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB35) | (~v144(constB35))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32705, 32704])).
% 20.83/14.47 tff(32707,plain,
% 20.83/14.47 (~v144(constB35)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32706, 22349, 32703])).
% 20.83/14.47 tff(32708,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB35) | (~v142(constB35)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB35) | (~v142(constB35)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32709,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB35) | (~v142(constB35)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32710,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB35) | (~v142(constB35))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32709, 32708])).
% 20.83/14.47 tff(32711,plain,
% 20.83/14.47 (~v142(constB35)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32710, 22360, 32707])).
% 20.83/14.47 tff(32712,assumption,(v18(constB36)), introduced(assumption)).
% 20.83/14.47 tff(32713,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB36))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32714,plain,
% 20.83/14.47 ($false),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32713, 2627, 32712])).
% 20.83/14.47 tff(32715,plain,(~v18(constB36)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.47 tff(32716,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32717,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32718,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36))),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32717, 32716])).
% 20.83/14.47 tff(32719,plain,
% 20.83/14.47 (v22(constB36)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32718, 2640, 4368])).
% 20.83/14.47 tff(32720,plain,
% 20.83/14.47 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB36)) | (~v22(constB36)) | v18(constB36))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB36)) | (~v22(constB36)) | v18(constB36))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32721,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB36)) | (~v22(constB36)) | v18(constB36))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32722,plain,
% 20.83/14.47 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB36)) | (~v22(constB36)) | v18(constB36)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32721, 32720])).
% 20.83/14.47 tff(32723,plain,
% 20.83/14.47 ((~v19(constB36)) | v18(constB36)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32722, 2654, 32719])).
% 20.83/14.47 tff(32724,plain,
% 20.83/14.47 (~v19(constB36)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32723, 32715])).
% 20.83/14.47 tff(32725,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32726,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32727,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32726, 32725])).
% 20.83/14.47 tff(32728,plain,
% 20.83/14.47 (v13(constB36)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32727, 2669, 32724])).
% 20.83/14.47 tff(32729,plain,
% 20.83/14.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32730,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32731,plain,
% 20.83/14.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB35, constB36)) | (~v13(constB36)) | v9(constB35)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32730, 32729])).
% 20.83/14.47 tff(32732,plain,
% 20.83/14.47 ((~v13(constB36)) | v9(constB35)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32731, 2686, 4317])).
% 20.83/14.47 tff(32733,plain,
% 20.83/14.47 (v9(constB35)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32732, 32728])).
% 20.83/14.47 tff(32734,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v141(constB35))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB35) | (~v9(constB35)) | v141(constB35))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32735,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v141(constB35))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32736,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB35) | (~v9(constB35)) | v141(constB35)),
% 20.83/14.47 inference(modus_ponens,[status(thm)],[32735, 32734])).
% 20.83/14.47 tff(32737,plain,
% 20.83/14.47 ((~v9(constB35)) | v141(constB35)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32736, 22396, 4212])).
% 20.83/14.47 tff(32738,plain,
% 20.83/14.47 (v141(constB35)),
% 20.83/14.47 inference(unit_resolution,[status(thm)],[32737, 32733])).
% 20.83/14.47 tff(32739,plain,
% 20.83/14.47 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB35) | (~v141(constB35)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB35) | (~v141(constB35)))),
% 20.83/14.47 inference(rewrite,[status(thm)],[])).
% 20.83/14.47 tff(32740,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB35) | (~v141(constB35)))),
% 20.83/14.47 inference(quant_inst,[status(thm)],[])).
% 20.83/14.47 tff(32741,plain,
% 20.83/14.47 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB35) | (~v141(constB35))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32740, 32739])).
% 20.83/14.48 tff(32742,plain,
% 20.83/14.48 (v140(constB35)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32741, 22408, 32738])).
% 20.83/14.48 tff(32743,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB35)) | (~v138(constB35)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB35)) | (~v138(constB35)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32744,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB35)) | (~v138(constB35)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32745,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB35)) | (~v138(constB35))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32744, 32743])).
% 20.83/14.48 tff(32746,plain,
% 20.83/14.48 (~v138(constB35)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32745, 22419, 32742])).
% 20.83/14.48 tff(32747,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB35) | v142(constB35) | (~v135(constB35)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB35) | v142(constB35) | (~v135(constB35)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32748,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB35) | v142(constB35) | (~v135(constB35)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32749,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB35) | v142(constB35) | (~v135(constB35))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32748, 32747])).
% 20.83/14.48 tff(32750,plain,
% 20.83/14.48 (v142(constB35) | (~v135(constB35))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32749, 22436, 32746])).
% 20.83/14.48 tff(32751,plain,
% 20.83/14.48 (~v135(constB35)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32750, 32711])).
% 20.83/14.48 tff(32752,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32753,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32754,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32753, 32752])).
% 20.83/14.48 tff(32755,plain,
% 20.83/14.48 (v135(constB35) | (~v137(constB36))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32754, 22451, 4317])).
% 20.83/14.48 tff(32756,plain,
% 20.83/14.48 (~v137(constB36)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32755, 32751])).
% 20.83/14.48 tff(32757,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB36) | (~v138(constB36)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB36) | (~v138(constB36)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32758,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB36) | (~v138(constB36)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32759,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB36) | (~v138(constB36))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32758, 32757])).
% 20.83/14.48 tff(32760,plain,
% 20.83/14.48 (~v138(constB36)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32759, 22463, 32756])).
% 20.83/14.48 tff(32761,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB36)) | (~v141(constB36)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB36)) | (~v141(constB36)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32762,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB36)) | (~v141(constB36)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32763,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB36)) | (~v141(constB36))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32762, 32761])).
% 20.83/14.48 tff(32764,plain,
% 20.83/14.48 (~v141(constB36)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32763, 22474, 4368])).
% 20.83/14.48 tff(32765,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB36) | (~v144(constB36)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB36) | (~v144(constB36)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32766,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB36) | (~v144(constB36)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32767,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB36) | (~v144(constB36))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32766, 32765])).
% 20.83/14.48 tff(32768,plain,
% 20.83/14.48 (~v144(constB36)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32767, 22485, 32764])).
% 20.83/14.48 tff(32769,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB36) | (~v142(constB36)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB36) | (~v142(constB36)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32770,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB36) | (~v142(constB36)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32771,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB36) | (~v142(constB36))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32770, 32769])).
% 20.83/14.48 tff(32772,plain,
% 20.83/14.48 (~v142(constB36)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32771, 22360, 32768])).
% 20.83/14.48 tff(32773,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB36) | v142(constB36) | (~v135(constB36)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB36) | v142(constB36) | (~v135(constB36)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32774,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB36) | v142(constB36) | (~v135(constB36)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32775,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB36) | v142(constB36) | (~v135(constB36))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32774, 32773])).
% 20.83/14.48 tff(32776,plain,
% 20.83/14.48 (v138(constB36) | (~v135(constB36))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32775, 22436, 32772])).
% 20.83/14.48 tff(32777,plain,
% 20.83/14.48 (~v135(constB36)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32776, 32760])).
% 20.83/14.48 tff(32778,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32779,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32780,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 20.83/14.48 tff(32781,plain,
% 20.83/14.48 (v135(constB36) | (~v137(constB37))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32780, 22451, 4396])).
% 20.83/14.48 tff(32782,plain,
% 20.83/14.48 (~v137(constB37)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32781, 32777])).
% 20.83/14.48 tff(32783,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB37) | (~v153(constB37)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB37) | (~v153(constB37)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32784,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB37) | (~v153(constB37)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32785,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB37) | (~v153(constB37))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32784, 32783])).
% 20.83/14.48 tff(32786,plain,
% 20.83/14.48 (~v153(constB37)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32785, 22510, 32782])).
% 20.83/14.48 tff(32787,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB37)) | (~v155(constB37)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB37)) | (~v155(constB37)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32788,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB37)) | (~v155(constB37)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32789,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB37)) | (~v155(constB37))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32788, 32787])).
% 20.83/14.48 tff(32790,plain,
% 20.83/14.48 (~v155(constB37)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32789, 22552, 30010])).
% 20.83/14.48 tff(32791,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB37) | v155(constB37) | (~v150(constB37)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB37) | v155(constB37) | (~v150(constB37)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32792,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB37) | v155(constB37) | (~v150(constB37)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32793,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB37) | v155(constB37) | (~v150(constB37))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32792, 32791])).
% 20.83/14.48 tff(32794,plain,
% 20.83/14.48 (v153(constB37) | (~v150(constB37))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32793, 22566, 32790])).
% 20.83/14.48 tff(32795,plain,
% 20.83/14.48 (~v150(constB37)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32794, 32786])).
% 20.83/14.48 tff(32796,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32797,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32798,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32797, 32796])).
% 20.83/14.48 tff(32799,plain,
% 20.83/14.48 (v150(constB37) | (~v152(constB38))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32798, 22581, 4490])).
% 20.83/14.48 tff(32800,plain,
% 20.83/14.48 (~v152(constB38)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32799, 32795])).
% 20.83/14.48 tff(32801,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB38) | (~v155(constB38)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB38) | (~v155(constB38)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32802,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB38) | (~v155(constB38)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32803,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB38) | (~v155(constB38))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32802, 32801])).
% 20.83/14.48 tff(32804,plain,
% 20.83/14.48 (~v155(constB38)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32803, 22593, 32800])).
% 20.83/14.48 tff(32805,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB38) | (~v154(constB38)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB38) | (~v154(constB38)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32806,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB38) | (~v154(constB38)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32807,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB38) | (~v154(constB38))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32806, 32805])).
% 20.83/14.48 tff(32808,plain,
% 20.83/14.48 (~v154(constB38)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32807, 22608, 30035])).
% 20.83/14.48 tff(32809,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB38) | (~v153(constB38)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB38) | (~v153(constB38)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32810,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB38) | (~v153(constB38)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32811,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB38) | (~v153(constB38))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 20.83/14.48 tff(32812,plain,
% 20.83/14.48 (~v153(constB38)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32811, 22619, 32808])).
% 20.83/14.48 tff(32813,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB38) | v155(constB38) | (~v150(constB38)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB38) | v155(constB38) | (~v150(constB38)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32814,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB38) | v155(constB38) | (~v150(constB38)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32815,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB38) | v155(constB38) | (~v150(constB38))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32814, 32813])).
% 20.83/14.48 tff(32816,plain,
% 20.83/14.48 (v155(constB38) | (~v150(constB38))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32815, 22566, 32812])).
% 20.83/14.48 tff(32817,plain,
% 20.83/14.48 (~v150(constB38)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32816, 32804])).
% 20.83/14.48 tff(32818,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32819,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32820,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32819, 32818])).
% 20.83/14.48 tff(32821,plain,
% 20.83/14.48 (v150(constB38) | (~v152(constB39))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32820, 22581, 4603])).
% 20.83/14.48 tff(32822,plain,
% 20.83/14.48 (~v152(constB39)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32821, 32817])).
% 20.83/14.48 tff(32823,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB39) | (~v164(constB39)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB39) | (~v164(constB39)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32824,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB39) | (~v164(constB39)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32825,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB39) | (~v164(constB39))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32824, 32823])).
% 20.83/14.48 tff(32826,plain,
% 20.83/14.48 (~v164(constB39)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32825, 22640, 32822])).
% 20.83/14.48 tff(32827,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB39)) | (~v163(constB39)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB39)) | (~v163(constB39)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32828,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB39)) | (~v163(constB39)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32829,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB39)) | (~v163(constB39))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32828, 32827])).
% 20.83/14.48 tff(32830,plain,
% 20.83/14.48 (~v163(constB39)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32829, 22781, 30088])).
% 20.83/14.48 tff(32831,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB39)) | v163(constB39) | v164(constB39))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB39)) | v163(constB39) | v164(constB39))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32832,plain,
% 20.83/14.48 ((v164(constB39) | v163(constB39) | (~v160(constB39))) <=> ((~v160(constB39)) | v163(constB39) | v164(constB39))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32833,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB39) | v163(constB39) | (~v160(constB39)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB39)) | v163(constB39) | v164(constB39)))),
% 20.83/14.48 inference(monotonicity,[status(thm)],[32832])).
% 20.83/14.48 tff(32834,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB39) | v163(constB39) | (~v160(constB39)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB39)) | v163(constB39) | v164(constB39))),
% 20.83/14.48 inference(transitivity,[status(thm)],[32833, 32831])).
% 20.83/14.48 tff(32835,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB39) | v163(constB39) | (~v160(constB39)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32836,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB39)) | v163(constB39) | v164(constB39)),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32835, 32834])).
% 20.83/14.48 tff(32837,plain,
% 20.83/14.48 ((~v160(constB39)) | v164(constB39)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32836, 22795, 32830])).
% 20.83/14.48 tff(32838,plain,
% 20.83/14.48 (~v160(constB39)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32837, 32826])).
% 20.83/14.48 tff(32839,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32840,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32841,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32840, 32839])).
% 20.83/14.48 tff(32842,plain,
% 20.83/14.48 (v160(constB39) | (~v162(constB40))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32841, 22813, 4715])).
% 20.83/14.48 tff(32843,plain,
% 20.83/14.48 (~v162(constB40)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32842, 32838])).
% 20.83/14.48 tff(32844,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB40) | (~v163(constB40)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB40) | (~v163(constB40)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32845,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB40) | (~v163(constB40)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32846,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB40) | (~v163(constB40))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32845, 32844])).
% 20.83/14.48 tff(32847,plain,
% 20.83/14.48 (~v163(constB40)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32846, 22825, 32843])).
% 20.83/14.48 tff(32848,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB40) | (~v164(constB40)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB40) | (~v164(constB40)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32849,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB40) | (~v164(constB40)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32850,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB40) | (~v164(constB40))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32849, 32848])).
% 20.83/14.48 tff(32851,plain,
% 20.83/14.48 (~v164(constB40)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32850, 22836, 30114])).
% 20.83/14.48 tff(32852,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB40)) | v164(constB40) | v163(constB40))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB40)) | v164(constB40) | v163(constB40))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32853,plain,
% 20.83/14.48 ((v164(constB40) | v163(constB40) | (~v160(constB40))) <=> ((~v160(constB40)) | v164(constB40) | v163(constB40))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32854,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB40) | v163(constB40) | (~v160(constB40)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB40)) | v164(constB40) | v163(constB40)))),
% 20.83/14.48 inference(monotonicity,[status(thm)],[32853])).
% 20.83/14.48 tff(32855,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB40) | v163(constB40) | (~v160(constB40)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB40)) | v164(constB40) | v163(constB40))),
% 20.83/14.48 inference(transitivity,[status(thm)],[32854, 32852])).
% 20.83/14.48 tff(32856,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB40) | v163(constB40) | (~v160(constB40)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32857,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB40)) | v164(constB40) | v163(constB40)),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32856, 32855])).
% 20.83/14.48 tff(32858,plain,
% 20.83/14.48 ((~v160(constB40)) | v163(constB40)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32857, 22795, 32851])).
% 20.83/14.48 tff(32859,plain,
% 20.83/14.48 (~v160(constB40)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32858, 32847])).
% 20.83/14.48 tff(32860,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32861,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32862,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32861, 32860])).
% 20.83/14.48 tff(32863,plain,
% 20.83/14.48 (v160(constB40) | (~v162(constB41))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32862, 22813, 4841])).
% 20.83/14.48 tff(32864,plain,
% 20.83/14.48 (~v162(constB41)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32863, 32859])).
% 20.83/14.48 tff(32865,plain,
% 20.83/14.48 ($false),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32864, 32699])).
% 20.83/14.48 tff(32866,plain,(~(constB41 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.48 tff(32867,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.48 tff(32868,plain,
% 20.83/14.48 (v162(constB47) <=> v162(sK0_VarCurr)),
% 20.83/14.48 inference(monotonicity,[status(thm)],[32867])).
% 20.83/14.48 tff(32869,plain,
% 20.83/14.48 (v162(sK0_VarCurr) <=> v162(constB47)),
% 20.83/14.48 inference(symmetry,[status(thm)],[32868])).
% 20.83/14.48 tff(32870,plain,
% 20.83/14.48 (v162(constB47)),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[22337, 32869])).
% 20.83/14.48 tff(32871,plain,
% 20.83/14.48 (~v145(constB41)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[4954, 4951, 4905])).
% 20.83/14.48 tff(32872,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB41) | (~v144(constB41)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB41) | (~v144(constB41)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32873,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB41) | (~v144(constB41)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32874,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB41) | (~v144(constB41))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32873, 32872])).
% 20.83/14.48 tff(32875,plain,
% 20.83/14.48 (~v144(constB41)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32874, 22349, 32871])).
% 20.83/14.48 tff(32876,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB41) | (~v142(constB41)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB41) | (~v142(constB41)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32877,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB41) | (~v142(constB41)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32878,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB41) | (~v142(constB41))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32877, 32876])).
% 20.83/14.48 tff(32879,plain,
% 20.83/14.48 (~v142(constB41)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32878, 22360, 32875])).
% 20.83/14.48 tff(32880,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB41)) | (~v140(constB41)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB41)) | (~v140(constB41)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32881,plain,
% 20.83/14.48 (((~v140(constB41)) | (~v138(constB41))) <=> ((~v138(constB41)) | (~v140(constB41)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32882,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB41)) | (~v138(constB41)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB41)) | (~v140(constB41))))),
% 20.83/14.48 inference(monotonicity,[status(thm)],[32881])).
% 20.83/14.48 tff(32883,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB41)) | (~v138(constB41)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB41)) | (~v140(constB41)))),
% 20.83/14.48 inference(transitivity,[status(thm)],[32882, 32880])).
% 20.83/14.48 tff(32884,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB41)) | (~v138(constB41)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32885,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB41)) | (~v140(constB41))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32884, 32883])).
% 20.83/14.48 tff(32886,plain,
% 20.83/14.48 (~v138(constB41)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32885, 22419, 30163])).
% 20.83/14.48 tff(32887,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB41) | v142(constB41) | (~v135(constB41)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB41) | v142(constB41) | (~v135(constB41)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32888,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB41) | v142(constB41) | (~v135(constB41)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32889,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB41) | v142(constB41) | (~v135(constB41))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32888, 32887])).
% 20.83/14.48 tff(32890,plain,
% 20.83/14.48 (v142(constB41) | (~v135(constB41))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32889, 22436, 32886])).
% 20.83/14.48 tff(32891,plain,
% 20.83/14.48 (~v135(constB41)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32890, 32879])).
% 20.83/14.48 tff(32892,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32893,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32894,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB41, constB42)) | v135(constB41) | (~v137(constB42))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32893, 32892])).
% 20.83/14.48 tff(32895,plain,
% 20.83/14.48 (v135(constB41) | (~v137(constB42))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32894, 22451, 4926])).
% 20.83/14.48 tff(32896,plain,
% 20.83/14.48 (~v137(constB42)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32895, 32891])).
% 20.83/14.48 tff(32897,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB42) | (~v138(constB42)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB42) | (~v138(constB42)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32898,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB42) | (~v138(constB42)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32899,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB42) | (~v138(constB42))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32898, 32897])).
% 20.83/14.48 tff(32900,plain,
% 20.83/14.48 (~v138(constB42)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32899, 22463, 32896])).
% 20.83/14.48 tff(32901,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB42) | (~v144(constB42)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB42) | (~v144(constB42)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32902,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB42) | (~v144(constB42)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32903,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB42) | (~v144(constB42))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32902, 32901])).
% 20.83/14.48 tff(32904,plain,
% 20.83/14.48 (~v144(constB42)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32903, 22485, 30188])).
% 20.83/14.48 tff(32905,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB42) | (~v142(constB42)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB42) | (~v142(constB42)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32906,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB42) | (~v142(constB42)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32907,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB42) | (~v142(constB42))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32906, 32905])).
% 20.83/14.48 tff(32908,plain,
% 20.83/14.48 (~v142(constB42)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32907, 22360, 32904])).
% 20.83/14.48 tff(32909,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB42) | v142(constB42) | (~v135(constB42)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB42) | v142(constB42) | (~v135(constB42)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32910,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB42) | v142(constB42) | (~v135(constB42)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32911,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB42) | v142(constB42) | (~v135(constB42))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32910, 32909])).
% 20.83/14.48 tff(32912,plain,
% 20.83/14.48 (v138(constB42) | (~v135(constB42))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32911, 22436, 32908])).
% 20.83/14.48 tff(32913,plain,
% 20.83/14.48 (~v135(constB42)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32912, 32900])).
% 20.83/14.48 tff(32914,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32915,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32916,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB42, constB43)) | v135(constB42) | (~v137(constB43))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32915, 32914])).
% 20.83/14.48 tff(32917,plain,
% 20.83/14.48 (v135(constB42) | (~v137(constB43))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32916, 22451, 5167])).
% 20.83/14.48 tff(32918,plain,
% 20.83/14.48 (~v137(constB43)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32917, 32913])).
% 20.83/14.48 tff(32919,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB43) | (~v153(constB43)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB43) | (~v153(constB43)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32920,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB43) | (~v153(constB43)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32921,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB43) | (~v153(constB43))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32920, 32919])).
% 20.83/14.48 tff(32922,plain,
% 20.83/14.48 (~v153(constB43)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32921, 22510, 32918])).
% 20.83/14.48 tff(32923,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB43)) | (~v155(constB43)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB43)) | (~v155(constB43)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32924,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB43)) | (~v155(constB43)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32925,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB43)) | (~v155(constB43))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32924, 32923])).
% 20.83/14.48 tff(32926,plain,
% 20.83/14.48 (~v155(constB43)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32925, 22552, 30512])).
% 20.83/14.48 tff(32927,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB43) | v155(constB43) | (~v150(constB43)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB43) | v155(constB43) | (~v150(constB43)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32928,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB43) | v155(constB43) | (~v150(constB43)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32929,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB43) | v155(constB43) | (~v150(constB43))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 20.83/14.48 tff(32930,plain,
% 20.83/14.48 (v153(constB43) | (~v150(constB43))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32929, 22566, 32926])).
% 20.83/14.48 tff(32931,plain,
% 20.83/14.48 (~v150(constB43)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32930, 32922])).
% 20.83/14.48 tff(32932,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32933,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32934,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB43, constB44)) | v150(constB43) | (~v152(constB44))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32933, 32932])).
% 20.83/14.48 tff(32935,plain,
% 20.83/14.48 (v150(constB43) | (~v152(constB44))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32934, 22581, 5271])).
% 20.83/14.48 tff(32936,plain,
% 20.83/14.48 (~v152(constB44)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32935, 32931])).
% 20.83/14.48 tff(32937,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB44) | (~v155(constB44)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB44) | (~v155(constB44)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32938,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB44) | (~v155(constB44)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32939,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB44) | (~v155(constB44))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32938, 32937])).
% 20.83/14.48 tff(32940,plain,
% 20.83/14.48 (~v155(constB44)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32939, 22593, 32936])).
% 20.83/14.48 tff(32941,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB44) | (~v154(constB44)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB44) | (~v154(constB44)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32942,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB44) | (~v154(constB44)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32943,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB44) | (~v154(constB44))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32942, 32941])).
% 20.83/14.48 tff(32944,plain,
% 20.83/14.48 (~v154(constB44)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32943, 22608, 30537])).
% 20.83/14.48 tff(32945,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB44) | (~v153(constB44)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB44) | (~v153(constB44)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32946,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB44) | (~v153(constB44)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32947,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB44) | (~v153(constB44))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32946, 32945])).
% 20.83/14.48 tff(32948,plain,
% 20.83/14.48 (~v153(constB44)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32947, 22619, 32944])).
% 20.83/14.48 tff(32949,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB44) | v155(constB44) | (~v150(constB44)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB44) | v155(constB44) | (~v150(constB44)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32950,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB44) | v155(constB44) | (~v150(constB44)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32951,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB44) | v155(constB44) | (~v150(constB44))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32950, 32949])).
% 20.83/14.48 tff(32952,plain,
% 20.83/14.48 (v155(constB44) | (~v150(constB44))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32951, 22566, 32948])).
% 20.83/14.48 tff(32953,plain,
% 20.83/14.48 (~v150(constB44)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32952, 32940])).
% 20.83/14.48 tff(32954,plain,
% 20.83/14.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32955,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32956,plain,
% 20.83/14.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB44, constB45)) | v150(constB44) | (~v152(constB45))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32955, 32954])).
% 20.83/14.48 tff(32957,plain,
% 20.83/14.48 (v150(constB44) | (~v152(constB45))),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32956, 22581, 5336])).
% 20.83/14.48 tff(32958,plain,
% 20.83/14.48 (~v152(constB45)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32957, 32953])).
% 20.83/14.48 tff(32959,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB45) | (~v164(constB45)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB45) | (~v164(constB45)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32960,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB45) | (~v164(constB45)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32961,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB45) | (~v164(constB45))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32960, 32959])).
% 20.83/14.48 tff(32962,plain,
% 20.83/14.48 (~v164(constB45)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32961, 22640, 32958])).
% 20.83/14.48 tff(32963,plain,
% 20.83/14.48 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB45)) | (~v163(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB45)) | (~v163(constB45)))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32964,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB45)) | (~v163(constB45)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.48 tff(32965,plain,
% 20.83/14.48 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB45)) | (~v163(constB45))),
% 20.83/14.48 inference(modus_ponens,[status(thm)],[32964, 32963])).
% 20.83/14.48 tff(32966,plain,
% 20.83/14.48 (~v163(constB45)),
% 20.83/14.48 inference(unit_resolution,[status(thm)],[32965, 22781, 30590])).
% 20.83/14.48 tff(32967,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB45)) | v163(constB45) | v164(constB45))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB45)) | v163(constB45) | v164(constB45))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32968,plain,
% 20.83/14.48 ((v164(constB45) | v163(constB45) | (~v160(constB45))) <=> ((~v160(constB45)) | v163(constB45) | v164(constB45))),
% 20.83/14.48 inference(rewrite,[status(thm)],[])).
% 20.83/14.48 tff(32969,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB45) | v163(constB45) | (~v160(constB45)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB45)) | v163(constB45) | v164(constB45)))),
% 20.83/14.48 inference(monotonicity,[status(thm)],[32968])).
% 20.83/14.48 tff(32970,plain,
% 20.83/14.48 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB45) | v163(constB45) | (~v160(constB45)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB45)) | v163(constB45) | v164(constB45))),
% 20.83/14.48 inference(transitivity,[status(thm)],[32969, 32967])).
% 20.83/14.48 tff(32971,plain,
% 20.83/14.48 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB45) | v163(constB45) | (~v160(constB45)))),
% 20.83/14.48 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(32972,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB45)) | v163(constB45) | v164(constB45)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[32971, 32970])).
% 20.83/14.49 tff(32973,plain,
% 20.83/14.49 ((~v160(constB45)) | v164(constB45)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32972, 22795, 32966])).
% 20.83/14.49 tff(32974,plain,
% 20.83/14.49 (~v160(constB45)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32973, 32962])).
% 20.83/14.49 tff(32975,plain,
% 20.83/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(32976,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(32977,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB45, constB46)) | v160(constB45) | (~v162(constB46))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[32976, 32975])).
% 20.83/14.49 tff(32978,plain,
% 20.83/14.49 (v160(constB45) | (~v162(constB46))),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32977, 22813, 5438])).
% 20.83/14.49 tff(32979,plain,
% 20.83/14.49 (~v162(constB46)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32978, 32974])).
% 20.83/14.49 tff(32980,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB46) | (~v163(constB46)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB46) | (~v163(constB46)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(32981,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB46) | (~v163(constB46)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(32982,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB46) | (~v163(constB46))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[32981, 32980])).
% 20.83/14.49 tff(32983,plain,
% 20.83/14.49 (~v163(constB46)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32982, 22825, 32979])).
% 20.83/14.49 tff(32984,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB46) | (~v164(constB46)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB46) | (~v164(constB46)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(32985,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB46) | (~v164(constB46)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(32986,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB46) | (~v164(constB46))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[32985, 32984])).
% 20.83/14.49 tff(32987,plain,
% 20.83/14.49 (~v164(constB46)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32986, 22836, 30616])).
% 20.83/14.49 tff(32988,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB46)) | v164(constB46) | v163(constB46))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB46)) | v164(constB46) | v163(constB46))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(32989,plain,
% 20.83/14.49 ((v164(constB46) | v163(constB46) | (~v160(constB46))) <=> ((~v160(constB46)) | v164(constB46) | v163(constB46))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(32990,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB46) | v163(constB46) | (~v160(constB46)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB46)) | v164(constB46) | v163(constB46)))),
% 20.83/14.49 inference(monotonicity,[status(thm)],[32989])).
% 20.83/14.49 tff(32991,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB46) | v163(constB46) | (~v160(constB46)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB46)) | v164(constB46) | v163(constB46))),
% 20.83/14.49 inference(transitivity,[status(thm)],[32990, 32988])).
% 20.83/14.49 tff(32992,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB46) | v163(constB46) | (~v160(constB46)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(32993,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB46)) | v164(constB46) | v163(constB46)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[32992, 32991])).
% 20.83/14.49 tff(32994,plain,
% 20.83/14.49 ((~v160(constB46)) | v163(constB46)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32993, 22795, 32987])).
% 20.83/14.49 tff(32995,plain,
% 20.83/14.49 (~v160(constB46)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32994, 32983])).
% 20.83/14.49 tff(32996,plain,
% 20.83/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(32997,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(32998,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB46, constB47)) | v160(constB46) | (~v162(constB47))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[32997, 32996])).
% 20.83/14.49 tff(32999,plain,
% 20.83/14.49 (v160(constB46) | (~v162(constB47))),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32998, 22813, 5566])).
% 20.83/14.49 tff(33000,plain,
% 20.83/14.49 (~v162(constB47)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[32999, 32995])).
% 20.83/14.49 tff(33001,plain,
% 20.83/14.49 ($false),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33000, 32870])).
% 20.83/14.49 tff(33002,plain,(~(constB47 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.49 tff(33003,assumption,(constB23 = sK0_VarCurr), introduced(assumption)).
% 20.83/14.49 tff(33004,plain,
% 20.83/14.49 (v162(constB23) <=> v162(sK0_VarCurr)),
% 20.83/14.49 inference(monotonicity,[status(thm)],[33003])).
% 20.83/14.49 tff(33005,plain,
% 20.83/14.49 (v162(sK0_VarCurr) <=> v162(constB23)),
% 20.83/14.49 inference(symmetry,[status(thm)],[33004])).
% 20.83/14.49 tff(33006,plain,
% 20.83/14.49 (v162(constB23)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[22337, 33005])).
% 20.83/14.49 tff(33007,assumption,(v18(constB22)), introduced(assumption)).
% 20.83/14.49 tff(33008,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB22))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33009,plain,
% 20.83/14.49 ($false),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33008, 2627, 33007])).
% 20.83/14.49 tff(33010,plain,(~v18(constB22)), inference(lemma,lemma(discharge,[]))).
% 20.83/14.49 tff(33011,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33012,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33013,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33012, 33011])).
% 20.83/14.49 tff(33014,plain,
% 20.83/14.49 (v22(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33013, 2640, 3038])).
% 20.83/14.49 tff(33015,plain,
% 20.83/14.49 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB22)) | (~v22(constB22)) | v18(constB22))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB22)) | (~v22(constB22)) | v18(constB22))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33016,plain,
% 20.83/14.49 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB22)) | (~v22(constB22)) | v18(constB22))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33017,plain,
% 20.83/14.49 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB22)) | (~v22(constB22)) | v18(constB22)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33016, 33015])).
% 20.83/14.49 tff(33018,plain,
% 20.83/14.49 ((~v19(constB22)) | v18(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33017, 2654, 33014])).
% 20.83/14.49 tff(33019,plain,
% 20.83/14.49 (~v19(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33018, 33010])).
% 20.83/14.49 tff(33020,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33021,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33022,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33021, 33020])).
% 20.83/14.49 tff(33023,plain,
% 20.83/14.49 (v13(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33022, 2669, 33019])).
% 20.83/14.49 tff(33024,plain,
% 20.83/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB21, constB22)) | (~v13(constB22)) | v9(constB21))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB21, constB22)) | (~v13(constB22)) | v9(constB21))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33025,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB21, constB22)) | (~v13(constB22)) | v9(constB21))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33026,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB21, constB22)) | (~v13(constB22)) | v9(constB21)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33025, 33024])).
% 20.83/14.49 tff(33027,plain,
% 20.83/14.49 ((~v13(constB22)) | v9(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33026, 2686, 3018])).
% 20.83/14.49 tff(33028,plain,
% 20.83/14.49 (v9(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33027, 33023])).
% 20.83/14.49 tff(33029,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v141(constB21))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB21) | (~v9(constB21)) | v141(constB21))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33030,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v141(constB21))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33031,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB21) | (~v9(constB21)) | v141(constB21)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33030, 33029])).
% 20.83/14.49 tff(33032,plain,
% 20.83/14.49 ((~v9(constB21)) | v141(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33031, 22396, 2891])).
% 20.83/14.49 tff(33033,plain,
% 20.83/14.49 (v141(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33032, 33028])).
% 20.83/14.49 tff(33034,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB21) | (~v141(constB21)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB21) | (~v141(constB21)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33035,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB21) | (~v141(constB21)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33036,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB21) | (~v141(constB21))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33035, 33034])).
% 20.83/14.49 tff(33037,plain,
% 20.83/14.49 (v140(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33036, 22408, 33033])).
% 20.83/14.49 tff(33038,plain,
% 20.83/14.49 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB21)) | (~v163(constB21)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB21)) | (~v163(constB21)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33039,plain,
% 20.83/14.49 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB21)) | (~v163(constB21)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33040,plain,
% 20.83/14.49 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB21)) | (~v163(constB21))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33039, 33038])).
% 20.83/14.49 tff(33041,plain,
% 20.83/14.49 (~v163(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33040, 22781, 33037])).
% 20.83/14.49 tff(33042,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB21) | (~v164(constB21)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB21) | (~v164(constB21)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33043,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB21) | (~v164(constB21)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33044,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB21) | (~v164(constB21))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33043, 33042])).
% 20.83/14.49 tff(33045,plain,
% 20.83/14.49 (~v164(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33044, 22640, 23096])).
% 20.83/14.49 tff(33046,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB21)) | v164(constB21) | v163(constB21))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB21)) | v164(constB21) | v163(constB21))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33047,plain,
% 20.83/14.49 ((v164(constB21) | v163(constB21) | (~v160(constB21))) <=> ((~v160(constB21)) | v164(constB21) | v163(constB21))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33048,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB21) | v163(constB21) | (~v160(constB21)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB21)) | v164(constB21) | v163(constB21)))),
% 20.83/14.49 inference(monotonicity,[status(thm)],[33047])).
% 20.83/14.49 tff(33049,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB21) | v163(constB21) | (~v160(constB21)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB21)) | v164(constB21) | v163(constB21))),
% 20.83/14.49 inference(transitivity,[status(thm)],[33048, 33046])).
% 20.83/14.49 tff(33050,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB21) | v163(constB21) | (~v160(constB21)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33051,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB21)) | v164(constB21) | v163(constB21)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33050, 33049])).
% 20.83/14.49 tff(33052,plain,
% 20.83/14.49 ((~v160(constB21)) | v163(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33051, 22795, 33045])).
% 20.83/14.49 tff(33053,plain,
% 20.83/14.49 (~v160(constB21)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33052, 33041])).
% 20.83/14.49 tff(33054,plain,
% 20.83/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB21, constB22)) | v160(constB21) | (~v162(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB21, constB22)) | v160(constB21) | (~v162(constB22)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33055,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB21, constB22)) | v160(constB21) | (~v162(constB22)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33056,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB21, constB22)) | v160(constB21) | (~v162(constB22))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33055, 33054])).
% 20.83/14.49 tff(33057,plain,
% 20.83/14.49 (v160(constB21) | (~v162(constB22))),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33056, 22813, 3018])).
% 20.83/14.49 tff(33058,plain,
% 20.83/14.49 (~v162(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33057, 33053])).
% 20.83/14.49 tff(33059,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB22) | (~v163(constB22)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB22) | (~v163(constB22)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33060,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB22) | (~v163(constB22)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33061,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB22) | (~v163(constB22))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33060, 33059])).
% 20.83/14.49 tff(33062,plain,
% 20.83/14.49 (~v163(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33061, 22825, 33058])).
% 20.83/14.49 tff(33063,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB22) | (~v164(constB22)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB22) | (~v164(constB22)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33064,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB22) | (~v164(constB22)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33065,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB22) | (~v164(constB22))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33064, 33063])).
% 20.83/14.49 tff(33066,plain,
% 20.83/14.49 (~v164(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33065, 22836, 23122])).
% 20.83/14.49 tff(33067,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB22)) | v164(constB22) | v163(constB22))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB22)) | v164(constB22) | v163(constB22))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33068,plain,
% 20.83/14.49 ((v164(constB22) | v163(constB22) | (~v160(constB22))) <=> ((~v160(constB22)) | v164(constB22) | v163(constB22))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33069,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB22) | v163(constB22) | (~v160(constB22)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB22)) | v164(constB22) | v163(constB22)))),
% 20.83/14.49 inference(monotonicity,[status(thm)],[33068])).
% 20.83/14.49 tff(33070,plain,
% 20.83/14.49 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB22) | v163(constB22) | (~v160(constB22)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB22)) | v164(constB22) | v163(constB22))),
% 20.83/14.49 inference(transitivity,[status(thm)],[33069, 33067])).
% 20.83/14.49 tff(33071,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB22) | v163(constB22) | (~v160(constB22)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33072,plain,
% 20.83/14.49 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB22)) | v164(constB22) | v163(constB22)),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33071, 33070])).
% 20.83/14.49 tff(33073,plain,
% 20.83/14.49 ((~v160(constB22)) | v163(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33072, 22795, 33066])).
% 20.83/14.49 tff(33074,plain,
% 20.83/14.49 (~v160(constB22)),
% 20.83/14.49 inference(unit_resolution,[status(thm)],[33073, 33062])).
% 20.83/14.49 tff(33075,plain,
% 20.83/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB22, constB23)) | v160(constB22) | (~v162(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB22, constB23)) | v160(constB22) | (~v162(constB23)))),
% 20.83/14.49 inference(rewrite,[status(thm)],[])).
% 20.83/14.49 tff(33076,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB22, constB23)) | v160(constB22) | (~v162(constB23)))),
% 20.83/14.49 inference(quant_inst,[status(thm)],[])).
% 20.83/14.49 tff(33077,plain,
% 20.83/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB22, constB23)) | v160(constB22) | (~v162(constB23))),
% 20.83/14.49 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 20.92/14.49 tff(33078,plain,
% 20.92/14.49 (v160(constB22) | (~v162(constB23))),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33077, 22813, 3080])).
% 20.92/14.49 tff(33079,plain,
% 20.92/14.49 (~v162(constB23)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33078, 33074])).
% 20.92/14.49 tff(33080,plain,
% 20.92/14.49 ($false),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33079, 33006])).
% 20.92/14.49 tff(33081,plain,(~(constB23 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.49 tff(33082,assumption,(constB140 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.49 tff(33083,plain,
% 20.92/14.49 (v1(constB140) <=> v1(sK0_VarCurr)),
% 20.92/14.49 inference(monotonicity,[status(thm)],[33082])).
% 20.92/14.49 tff(33084,plain,
% 20.92/14.49 (v1(sK0_VarCurr) <=> v1(constB140)),
% 20.92/14.49 inference(symmetry,[status(thm)],[33083])).
% 20.92/14.49 tff(33085,plain,
% 20.92/14.49 ((~v1(sK0_VarCurr)) <=> (~v1(constB140))),
% 20.92/14.49 inference(monotonicity,[status(thm)],[33084])).
% 20.92/14.49 tff(33086,plain,
% 20.92/14.49 (~v1(constB140)),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[23510, 33085])).
% 20.92/14.49 tff(33087,plain,
% 20.92/14.49 ($false),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[17145, 33086])).
% 20.92/14.49 tff(33088,plain,(~(constB140 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.49 tff(33089,assumption,(constB94 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.49 tff(33090,plain,
% 20.92/14.49 (v1(constB94) <=> v1(sK0_VarCurr)),
% 20.92/14.49 inference(monotonicity,[status(thm)],[33089])).
% 20.92/14.49 tff(33091,plain,
% 20.92/14.49 (v1(sK0_VarCurr) <=> v1(constB94)),
% 20.92/14.49 inference(symmetry,[status(thm)],[33090])).
% 20.92/14.49 tff(33092,plain,
% 20.92/14.49 ((~v1(sK0_VarCurr)) <=> (~v1(constB94))),
% 20.92/14.49 inference(monotonicity,[status(thm)],[33091])).
% 20.92/14.49 tff(33093,plain,
% 20.92/14.49 (~v1(constB94)),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[23510, 33092])).
% 20.92/14.49 tff(33094,plain,
% 20.92/14.49 ($false),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[12462, 33093])).
% 20.92/14.49 tff(33095,plain,(~(constB94 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.49 tff(33096,assumption,(constB107 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.49 tff(33097,plain,
% 20.92/14.49 (v162(constB107) <=> v162(sK0_VarCurr)),
% 20.92/14.49 inference(monotonicity,[status(thm)],[33096])).
% 20.92/14.49 tff(33098,plain,
% 20.92/14.49 (v162(sK0_VarCurr) <=> v162(constB107)),
% 20.92/14.49 inference(symmetry,[status(thm)],[33097])).
% 20.92/14.49 tff(33099,plain,
% 20.92/14.49 (v162(constB107)),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[22337, 33098])).
% 20.92/14.49 tff(33100,plain,
% 20.92/14.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB101, bitIndex1)) | (~v145(constB101)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33101,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v145(constB101)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33102,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB101, bitIndex1)) | (~v145(constB101))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33101, 33100])).
% 20.92/14.49 tff(33103,plain,
% 20.92/14.49 (~v145(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33102, 2012, 13187])).
% 20.92/14.49 tff(33104,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB101) | (~v144(constB101)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB101) | (~v144(constB101)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33105,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB101) | (~v144(constB101)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33106,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB101) | (~v144(constB101))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33105, 33104])).
% 20.92/14.49 tff(33107,plain,
% 20.92/14.49 (~v144(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33106, 22349, 33103])).
% 20.92/14.49 tff(33108,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB101) | (~v142(constB101)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33109,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB101) | (~v142(constB101)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33110,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB101) | (~v142(constB101))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33109, 33108])).
% 20.92/14.49 tff(33111,plain,
% 20.92/14.49 (~v142(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33110, 22360, 33107])).
% 20.92/14.49 tff(33112,assumption,(v18(constB102)), introduced(assumption)).
% 20.92/14.49 tff(33113,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB102))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33114,plain,
% 20.92/14.49 ($false),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33113, 2627, 33112])).
% 20.92/14.49 tff(33115,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.49 tff(33116,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33117,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33118,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33117, 33116])).
% 20.92/14.49 tff(33119,plain,
% 20.92/14.49 (v22(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33118, 2640, 13307])).
% 20.92/14.49 tff(33120,plain,
% 20.92/14.49 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33121,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33122,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102)),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33121, 33120])).
% 20.92/14.49 tff(33123,plain,
% 20.92/14.49 ((~v19(constB102)) | v18(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33122, 2654, 33119])).
% 20.92/14.49 tff(33124,plain,
% 20.92/14.49 (~v19(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33123, 33115])).
% 20.92/14.49 tff(33125,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33126,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33127,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33126, 33125])).
% 20.92/14.49 tff(33128,plain,
% 20.92/14.49 (v13(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33127, 2669, 33124])).
% 20.92/14.49 tff(33129,plain,
% 20.92/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33130,plain,
% 20.92/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33131,plain,
% 20.92/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101)),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33130, 33129])).
% 20.92/14.49 tff(33132,plain,
% 20.92/14.49 ((~v13(constB102)) | v9(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33131, 2686, 13208])).
% 20.92/14.49 tff(33133,plain,
% 20.92/14.49 (v9(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33132, 33128])).
% 20.92/14.49 tff(33134,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v141(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB101) | (~v9(constB101)) | v141(constB101))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33135,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v141(constB101))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33136,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB101) | (~v9(constB101)) | v141(constB101)),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33135, 33134])).
% 20.92/14.49 tff(33137,plain,
% 20.92/14.49 ((~v9(constB101)) | v141(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33136, 22396, 13120])).
% 20.92/14.49 tff(33138,plain,
% 20.92/14.49 (v141(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33137, 33133])).
% 20.92/14.49 tff(33139,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB101) | (~v141(constB101)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB101) | (~v141(constB101)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33140,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB101) | (~v141(constB101)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33141,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB101) | (~v141(constB101))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33140, 33139])).
% 20.92/14.49 tff(33142,plain,
% 20.92/14.49 (v140(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33141, 22408, 33138])).
% 20.92/14.49 tff(33143,plain,
% 20.92/14.49 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB101)) | (~v140(constB101)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB101)) | (~v140(constB101)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33144,plain,
% 20.92/14.49 (((~v140(constB101)) | (~v138(constB101))) <=> ((~v138(constB101)) | (~v140(constB101)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33145,plain,
% 20.92/14.49 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB101)) | (~v138(constB101)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB101)) | (~v140(constB101))))),
% 20.92/14.49 inference(monotonicity,[status(thm)],[33144])).
% 20.92/14.49 tff(33146,plain,
% 20.92/14.49 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB101)) | (~v138(constB101)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB101)) | (~v140(constB101)))),
% 20.92/14.49 inference(transitivity,[status(thm)],[33145, 33143])).
% 20.92/14.49 tff(33147,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB101)) | (~v138(constB101)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33148,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB101)) | (~v140(constB101))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33147, 33146])).
% 20.92/14.49 tff(33149,plain,
% 20.92/14.49 (~v138(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33148, 22419, 33142])).
% 20.92/14.49 tff(33150,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB101) | v142(constB101) | (~v135(constB101)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB101) | v142(constB101) | (~v135(constB101)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33151,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB101) | v142(constB101) | (~v135(constB101)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33152,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB101) | v142(constB101) | (~v135(constB101))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33151, 33150])).
% 20.92/14.49 tff(33153,plain,
% 20.92/14.49 (v142(constB101) | (~v135(constB101))),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33152, 22436, 33149])).
% 20.92/14.49 tff(33154,plain,
% 20.92/14.49 (~v135(constB101)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33153, 33111])).
% 20.92/14.49 tff(33155,plain,
% 20.92/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33156,plain,
% 20.92/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33157,plain,
% 20.92/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB101, constB102)) | v135(constB101) | (~v137(constB102))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33156, 33155])).
% 20.92/14.49 tff(33158,plain,
% 20.92/14.49 (v135(constB101) | (~v137(constB102))),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33157, 22451, 13208])).
% 20.92/14.49 tff(33159,plain,
% 20.92/14.49 (~v137(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33158, 33154])).
% 20.92/14.49 tff(33160,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB102) | (~v138(constB102)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB102) | (~v138(constB102)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33161,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB102) | (~v138(constB102)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33162,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB102) | (~v138(constB102))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33161, 33160])).
% 20.92/14.49 tff(33163,plain,
% 20.92/14.49 (~v138(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33162, 22463, 33159])).
% 20.92/14.49 tff(33164,plain,
% 20.92/14.49 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB102)) | (~v141(constB102)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB102)) | (~v141(constB102)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33165,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB102)) | (~v141(constB102)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33166,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB102)) | (~v141(constB102))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33165, 33164])).
% 20.92/14.49 tff(33167,plain,
% 20.92/14.49 (~v141(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33166, 22474, 13307])).
% 20.92/14.49 tff(33168,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB102) | (~v144(constB102)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB102) | (~v144(constB102)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33169,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB102) | (~v144(constB102)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33170,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB102) | (~v144(constB102))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33169, 33168])).
% 20.92/14.49 tff(33171,plain,
% 20.92/14.49 (~v144(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33170, 22485, 33167])).
% 20.92/14.49 tff(33172,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB102) | (~v142(constB102)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB102) | (~v142(constB102)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33173,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB102) | (~v142(constB102)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33174,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB102) | (~v142(constB102))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33173, 33172])).
% 20.92/14.49 tff(33175,plain,
% 20.92/14.49 (~v142(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33174, 22360, 33171])).
% 20.92/14.49 tff(33176,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB102) | v142(constB102) | (~v135(constB102)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB102) | v142(constB102) | (~v135(constB102)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33177,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB102) | v142(constB102) | (~v135(constB102)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33178,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB102) | v142(constB102) | (~v135(constB102))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33177, 33176])).
% 20.92/14.49 tff(33179,plain,
% 20.92/14.49 (v138(constB102) | (~v135(constB102))),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33178, 22436, 33175])).
% 20.92/14.49 tff(33180,plain,
% 20.92/14.49 (~v135(constB102)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33179, 33163])).
% 20.92/14.49 tff(33181,plain,
% 20.92/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33182,plain,
% 20.92/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33183,plain,
% 20.92/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB102, constB103)) | v135(constB102) | (~v137(constB103))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33182, 33181])).
% 20.92/14.49 tff(33184,plain,
% 20.92/14.49 (v135(constB102) | (~v137(constB103))),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33183, 22451, 13334])).
% 20.92/14.49 tff(33185,plain,
% 20.92/14.49 (~v137(constB103)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33184, 33180])).
% 20.92/14.49 tff(33186,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB103) | (~v153(constB103)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB103) | (~v153(constB103)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33187,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB103) | (~v153(constB103)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33188,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB103) | (~v153(constB103))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33187, 33186])).
% 20.92/14.49 tff(33189,plain,
% 20.92/14.49 (~v153(constB103)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33188, 22510, 33185])).
% 20.92/14.49 tff(33190,plain,
% 20.92/14.49 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB103)) | (~v155(constB103)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB103)) | (~v155(constB103)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33191,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB103)) | (~v155(constB103)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33192,plain,
% 20.92/14.49 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB103)) | (~v155(constB103))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33191, 33190])).
% 20.92/14.49 tff(33193,plain,
% 20.92/14.49 (~v155(constB103)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33192, 22552, 23762])).
% 20.92/14.49 tff(33194,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB103) | v155(constB103) | (~v150(constB103)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB103) | v155(constB103) | (~v150(constB103)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33195,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB103) | v155(constB103) | (~v150(constB103)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33196,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB103) | v155(constB103) | (~v150(constB103))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33195, 33194])).
% 20.92/14.49 tff(33197,plain,
% 20.92/14.49 (v153(constB103) | (~v150(constB103))),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33196, 22566, 33193])).
% 20.92/14.49 tff(33198,plain,
% 20.92/14.49 (~v150(constB103)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33197, 33189])).
% 20.92/14.49 tff(33199,plain,
% 20.92/14.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33200,plain,
% 20.92/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104)))),
% 20.92/14.49 inference(quant_inst,[status(thm)],[])).
% 20.92/14.49 tff(33201,plain,
% 20.92/14.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB103, constB104)) | v150(constB103) | (~v152(constB104))),
% 20.92/14.49 inference(modus_ponens,[status(thm)],[33200, 33199])).
% 20.92/14.49 tff(33202,plain,
% 20.92/14.49 (v150(constB103) | (~v152(constB104))),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33201, 22581, 13488])).
% 20.92/14.49 tff(33203,plain,
% 20.92/14.49 (~v152(constB104)),
% 20.92/14.49 inference(unit_resolution,[status(thm)],[33202, 33198])).
% 20.92/14.49 tff(33204,plain,
% 20.92/14.49 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB104) | (~v155(constB104)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB104) | (~v155(constB104)))),
% 20.92/14.49 inference(rewrite,[status(thm)],[])).
% 20.92/14.49 tff(33205,plain,
% 20.92/14.49 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB104) | (~v155(constB104)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33206,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB104) | (~v155(constB104))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33205, 33204])).
% 20.92/14.50 tff(33207,plain,
% 20.92/14.50 (~v155(constB104)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33206, 22593, 33203])).
% 20.92/14.50 tff(33208,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB104) | (~v154(constB104)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB104) | (~v154(constB104)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33209,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB104) | (~v154(constB104)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33210,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB104) | (~v154(constB104))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33209, 33208])).
% 20.92/14.50 tff(33211,plain,
% 20.92/14.50 (~v154(constB104)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33210, 22608, 23787])).
% 20.92/14.50 tff(33212,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB104) | (~v153(constB104)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB104) | (~v153(constB104)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33213,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB104) | (~v153(constB104)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33214,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB104) | (~v153(constB104))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33213, 33212])).
% 20.92/14.50 tff(33215,plain,
% 20.92/14.50 (~v153(constB104)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33214, 22619, 33211])).
% 20.92/14.50 tff(33216,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB104) | v155(constB104) | (~v150(constB104)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB104) | v155(constB104) | (~v150(constB104)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33217,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB104) | v155(constB104) | (~v150(constB104)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33218,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB104) | v155(constB104) | (~v150(constB104))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33217, 33216])).
% 20.92/14.50 tff(33219,plain,
% 20.92/14.50 (v155(constB104) | (~v150(constB104))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33218, 22566, 33215])).
% 20.92/14.50 tff(33220,plain,
% 20.92/14.50 (~v150(constB104)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33219, 33207])).
% 20.92/14.50 tff(33221,plain,
% 20.92/14.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33222,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33223,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB104, constB105)) | v150(constB104) | (~v152(constB105))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33222, 33221])).
% 20.92/14.50 tff(33224,plain,
% 20.92/14.50 (v150(constB104) | (~v152(constB105))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33223, 22581, 13550])).
% 20.92/14.50 tff(33225,plain,
% 20.92/14.50 (~v152(constB105)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33224, 33220])).
% 20.92/14.50 tff(33226,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB105) | (~v164(constB105)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB105) | (~v164(constB105)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33227,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB105) | (~v164(constB105)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33228,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB105) | (~v164(constB105))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33227, 33226])).
% 20.92/14.50 tff(33229,plain,
% 20.92/14.50 (~v164(constB105)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33228, 22640, 33225])).
% 20.92/14.50 tff(33230,plain,
% 20.92/14.50 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB105)) | (~v163(constB105)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB105)) | (~v163(constB105)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33231,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB105)) | (~v163(constB105)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33232,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB105)) | (~v163(constB105))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33231, 33230])).
% 20.92/14.50 tff(33233,plain,
% 20.92/14.50 (~v163(constB105)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33232, 22781, 23600])).
% 20.92/14.50 tff(33234,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB105)) | v164(constB105) | v163(constB105))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB105)) | v164(constB105) | v163(constB105))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33235,plain,
% 20.92/14.50 ((v164(constB105) | v163(constB105) | (~v160(constB105))) <=> ((~v160(constB105)) | v164(constB105) | v163(constB105))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33236,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB105) | v163(constB105) | (~v160(constB105)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB105)) | v164(constB105) | v163(constB105)))),
% 20.92/14.50 inference(monotonicity,[status(thm)],[33235])).
% 20.92/14.50 tff(33237,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB105) | v163(constB105) | (~v160(constB105)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB105)) | v164(constB105) | v163(constB105))),
% 20.92/14.50 inference(transitivity,[status(thm)],[33236, 33234])).
% 20.92/14.50 tff(33238,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB105) | v163(constB105) | (~v160(constB105)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33239,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB105)) | v164(constB105) | v163(constB105)),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33238, 33237])).
% 20.92/14.50 tff(33240,plain,
% 20.92/14.50 ((~v160(constB105)) | v164(constB105)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33239, 22795, 33233])).
% 20.92/14.50 tff(33241,plain,
% 20.92/14.50 (~v160(constB105)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33240, 33229])).
% 20.92/14.50 tff(33242,plain,
% 20.92/14.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33243,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33244,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB105, constB106)) | v160(constB105) | (~v162(constB106))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33243, 33242])).
% 20.92/14.50 tff(33245,plain,
% 20.92/14.50 (v160(constB105) | (~v162(constB106))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33244, 22813, 13674])).
% 20.92/14.50 tff(33246,plain,
% 20.92/14.50 (~v162(constB106)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33245, 33241])).
% 20.92/14.50 tff(33247,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB106) | (~v163(constB106)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB106) | (~v163(constB106)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33248,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB106) | (~v163(constB106)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33249,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB106) | (~v163(constB106))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33248, 33247])).
% 20.92/14.50 tff(33250,plain,
% 20.92/14.50 (~v163(constB106)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33249, 22825, 33246])).
% 20.92/14.50 tff(33251,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB106) | (~v164(constB106)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB106) | (~v164(constB106)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33252,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB106) | (~v164(constB106)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33253,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB106) | (~v164(constB106))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33252, 33251])).
% 20.92/14.50 tff(33254,plain,
% 20.92/14.50 (~v164(constB106)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33253, 22836, 23831])).
% 20.92/14.50 tff(33255,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB106)) | v164(constB106) | v163(constB106))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB106)) | v164(constB106) | v163(constB106))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33256,plain,
% 20.92/14.50 ((v164(constB106) | v163(constB106) | (~v160(constB106))) <=> ((~v160(constB106)) | v164(constB106) | v163(constB106))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33257,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB106) | v163(constB106) | (~v160(constB106)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB106)) | v164(constB106) | v163(constB106)))),
% 20.92/14.50 inference(monotonicity,[status(thm)],[33256])).
% 20.92/14.50 tff(33258,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB106) | v163(constB106) | (~v160(constB106)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB106)) | v164(constB106) | v163(constB106))),
% 20.92/14.50 inference(transitivity,[status(thm)],[33257, 33255])).
% 20.92/14.50 tff(33259,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB106) | v163(constB106) | (~v160(constB106)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33260,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB106)) | v164(constB106) | v163(constB106)),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33259, 33258])).
% 20.92/14.50 tff(33261,plain,
% 20.92/14.50 ((~v160(constB106)) | v163(constB106)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33260, 22795, 33254])).
% 20.92/14.50 tff(33262,plain,
% 20.92/14.50 (~v160(constB106)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33261, 33250])).
% 20.92/14.50 tff(33263,plain,
% 20.92/14.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33264,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33265,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB106, constB107)) | v160(constB106) | (~v162(constB107))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33264, 33263])).
% 20.92/14.50 tff(33266,plain,
% 20.92/14.50 (v160(constB106) | (~v162(constB107))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33265, 22813, 13736])).
% 20.92/14.50 tff(33267,plain,
% 20.92/14.50 (~v162(constB107)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33266, 33262])).
% 20.92/14.50 tff(33268,plain,
% 20.92/14.50 ($false),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33267, 33099])).
% 20.92/14.50 tff(33269,plain,(~(constB107 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.50 tff(33270,assumption,(constB101 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.50 tff(33271,plain,
% 20.92/14.50 (v162(constB101) <=> v162(sK0_VarCurr)),
% 20.92/14.50 inference(monotonicity,[status(thm)],[33270])).
% 20.92/14.50 tff(33272,plain,
% 20.92/14.50 (v162(sK0_VarCurr) <=> v162(constB101)),
% 20.92/14.50 inference(symmetry,[status(thm)],[33271])).
% 20.92/14.50 tff(33273,plain,
% 20.92/14.50 (v162(constB101)),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[22337, 33272])).
% 20.92/14.50 tff(33274,plain,
% 20.92/14.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v145(constB95)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33275,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v145(constB95)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33276,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v145(constB95))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33275, 33274])).
% 20.92/14.50 tff(33277,plain,
% 20.92/14.50 (~v145(constB95)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33276, 10327, 12525])).
% 20.92/14.50 tff(33278,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33279,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33280,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33279, 33278])).
% 20.92/14.50 tff(33281,plain,
% 20.92/14.50 (~v144(constB95)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33280, 22349, 33277])).
% 20.92/14.50 tff(33282,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33283,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33284,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33283, 33282])).
% 20.92/14.50 tff(33285,plain,
% 20.92/14.50 (~v142(constB95)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33284, 22360, 33281])).
% 20.92/14.50 tff(33286,plain,
% 20.92/14.50 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB95)) | (~v140(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB95)) | (~v140(constB95)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33287,plain,
% 20.92/14.50 (((~v140(constB95)) | (~v138(constB95))) <=> ((~v138(constB95)) | (~v140(constB95)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33288,plain,
% 20.92/14.50 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB95)) | (~v138(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB95)) | (~v140(constB95))))),
% 20.92/14.50 inference(monotonicity,[status(thm)],[33287])).
% 20.92/14.50 tff(33289,plain,
% 20.92/14.50 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB95)) | (~v138(constB95)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB95)) | (~v140(constB95)))),
% 20.92/14.50 inference(transitivity,[status(thm)],[33288, 33286])).
% 20.92/14.50 tff(33290,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB95)) | (~v138(constB95)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33291,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB95)) | (~v140(constB95))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33290, 33289])).
% 20.92/14.50 tff(33292,plain,
% 20.92/14.50 (~v138(constB95)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33291, 22419, 22545])).
% 20.92/14.50 tff(33293,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB95) | v142(constB95) | (~v135(constB95)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB95) | v142(constB95) | (~v135(constB95)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33294,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB95) | v142(constB95) | (~v135(constB95)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33295,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB95) | v142(constB95) | (~v135(constB95))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33294, 33293])).
% 20.92/14.50 tff(33296,plain,
% 20.92/14.50 (v142(constB95) | (~v135(constB95))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33295, 22436, 33292])).
% 20.92/14.50 tff(33297,plain,
% 20.92/14.50 (~v135(constB95)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33296, 33285])).
% 20.92/14.50 tff(33298,plain,
% 20.92/14.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33299,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33300,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33299, 33298])).
% 20.92/14.50 tff(33301,plain,
% 20.92/14.50 (v135(constB95) | (~v137(constB96))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33300, 22451, 12621])).
% 20.92/14.50 tff(33302,plain,
% 20.92/14.50 (~v137(constB96)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33301, 33297])).
% 20.92/14.50 tff(33303,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB96) | (~v138(constB96)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB96) | (~v138(constB96)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33304,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB96) | (~v138(constB96)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33305,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB96) | (~v138(constB96))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33304, 33303])).
% 20.92/14.50 tff(33306,plain,
% 20.92/14.50 (~v138(constB96)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33305, 22463, 33302])).
% 20.92/14.50 tff(33307,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB96) | (~v144(constB96)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB96) | (~v144(constB96)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33308,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB96) | (~v144(constB96)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33309,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB96) | (~v144(constB96))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33308, 33307])).
% 20.92/14.50 tff(33310,plain,
% 20.92/14.50 (~v144(constB96)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33309, 22485, 22601])).
% 20.92/14.50 tff(33311,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB96) | (~v142(constB96)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB96) | (~v142(constB96)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33312,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB96) | (~v142(constB96)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33313,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB96) | (~v142(constB96))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33312, 33311])).
% 20.92/14.50 tff(33314,plain,
% 20.92/14.50 (~v142(constB96)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33313, 22360, 33310])).
% 20.92/14.50 tff(33315,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB96) | v142(constB96) | (~v135(constB96)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB96) | v142(constB96) | (~v135(constB96)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33316,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB96) | v142(constB96) | (~v135(constB96)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33317,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB96) | v142(constB96) | (~v135(constB96))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33316, 33315])).
% 20.92/14.50 tff(33318,plain,
% 20.92/14.50 (v138(constB96) | (~v135(constB96))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33317, 22436, 33314])).
% 20.92/14.50 tff(33319,plain,
% 20.92/14.50 (~v135(constB96)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33318, 33306])).
% 20.92/14.50 tff(33320,plain,
% 20.92/14.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33321,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33322,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33321, 33320])).
% 20.92/14.50 tff(33323,plain,
% 20.92/14.50 (v135(constB96) | (~v137(constB97))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33322, 22451, 12683])).
% 20.92/14.50 tff(33324,plain,
% 20.92/14.50 (~v137(constB97)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33323, 33319])).
% 20.92/14.50 tff(33325,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB97) | (~v153(constB97)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB97) | (~v153(constB97)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33326,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB97) | (~v153(constB97)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33327,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB97) | (~v153(constB97))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33326, 33325])).
% 20.92/14.50 tff(33328,plain,
% 20.92/14.50 (~v153(constB97)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33327, 22510, 33324])).
% 20.92/14.50 tff(33329,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB97) | (~v155(constB97)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB97) | (~v155(constB97)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33330,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB97) | (~v155(constB97)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33331,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB97) | (~v155(constB97))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33330, 33329])).
% 20.92/14.50 tff(33332,plain,
% 20.92/14.50 (~v155(constB97)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33331, 22593, 22633])).
% 20.92/14.50 tff(33333,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB97) | v155(constB97) | (~v150(constB97)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB97) | v155(constB97) | (~v150(constB97)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33334,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB97) | v155(constB97) | (~v150(constB97)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33335,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB97) | v155(constB97) | (~v150(constB97))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33334, 33333])).
% 20.92/14.50 tff(33336,plain,
% 20.92/14.50 (v153(constB97) | (~v150(constB97))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33335, 22566, 33332])).
% 20.92/14.50 tff(33337,plain,
% 20.92/14.50 (~v150(constB97)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33336, 33328])).
% 20.92/14.50 tff(33338,plain,
% 20.92/14.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33339,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33340,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33339, 33338])).
% 20.92/14.50 tff(33341,plain,
% 20.92/14.50 (v150(constB97) | (~v152(constB98))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33340, 22581, 12793])).
% 20.92/14.50 tff(33342,plain,
% 20.92/14.50 (~v152(constB98)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33341, 33337])).
% 20.92/14.50 tff(33343,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB98) | (~v155(constB98)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB98) | (~v155(constB98)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33344,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB98) | (~v155(constB98)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33345,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB98) | (~v155(constB98))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33344, 33343])).
% 20.92/14.50 tff(33346,plain,
% 20.92/14.50 (~v155(constB98)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33345, 22593, 33342])).
% 20.92/14.50 tff(33347,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB98) | (~v153(constB98)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB98) | (~v153(constB98)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33348,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB98) | (~v153(constB98)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33349,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB98) | (~v153(constB98))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33348, 33347])).
% 20.92/14.50 tff(33350,plain,
% 20.92/14.50 (~v153(constB98)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33349, 22619, 22882])).
% 20.92/14.50 tff(33351,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB98) | v155(constB98) | (~v150(constB98)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB98) | v155(constB98) | (~v150(constB98)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33352,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB98) | v155(constB98) | (~v150(constB98)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33353,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB98) | v155(constB98) | (~v150(constB98))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 20.92/14.50 tff(33354,plain,
% 20.92/14.50 (v155(constB98) | (~v150(constB98))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33353, 22566, 33350])).
% 20.92/14.50 tff(33355,plain,
% 20.92/14.50 (~v150(constB98)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33354, 33346])).
% 20.92/14.50 tff(33356,plain,
% 20.92/14.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33357,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33358,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33357, 33356])).
% 20.92/14.50 tff(33359,plain,
% 20.92/14.50 (v150(constB98) | (~v152(constB99))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33358, 22581, 12885])).
% 20.92/14.50 tff(33360,plain,
% 20.92/14.50 (~v152(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33359, 33355])).
% 20.92/14.50 tff(33361,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB99) | (~v164(constB99)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB99) | (~v164(constB99)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33362,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB99) | (~v164(constB99)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33363,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB99) | (~v164(constB99))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33362, 33361])).
% 20.92/14.50 tff(33364,plain,
% 20.92/14.50 (~v164(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33363, 22640, 33360])).
% 20.92/14.50 tff(33365,assumption,(v18(constB100)), introduced(assumption)).
% 20.92/14.50 tff(33366,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB100))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33367,plain,
% 20.92/14.50 ($false),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33366, 2627, 33365])).
% 20.92/14.50 tff(33368,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.50 tff(33369,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33370,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33371,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33370, 33369])).
% 20.92/14.50 tff(33372,plain,
% 20.92/14.50 (v22(constB100)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33371, 2640, 13057])).
% 20.92/14.50 tff(33373,plain,
% 20.92/14.50 (((~![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))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33374,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB100)) | (~v22(constB100)) | v18(constB100))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33375,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB100)) | (~v22(constB100)) | v18(constB100)),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33374, 33373])).
% 20.92/14.50 tff(33376,plain,
% 20.92/14.50 ((~v19(constB100)) | v18(constB100)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33375, 2654, 33372])).
% 20.92/14.50 tff(33377,plain,
% 20.92/14.50 (~v19(constB100)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33376, 33368])).
% 20.92/14.50 tff(33378,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33379,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33380,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33379, 33378])).
% 20.92/14.50 tff(33381,plain,
% 20.92/14.50 (v13(constB100)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33380, 2669, 33377])).
% 20.92/14.50 tff(33382,plain,
% 20.92/14.50 (((~![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))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33383,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33384,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB99, constB100)) | (~v13(constB100)) | v9(constB99)),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33383, 33382])).
% 20.92/14.50 tff(33385,plain,
% 20.92/14.50 ((~v13(constB100)) | v9(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33384, 2686, 13000])).
% 20.92/14.50 tff(33386,plain,
% 20.92/14.50 (v9(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33385, 33381])).
% 20.92/14.50 tff(33387,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v141(constB99))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB99) | (~v9(constB99)) | v141(constB99))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33388,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v141(constB99))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33389,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB99) | (~v9(constB99)) | v141(constB99)),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33388, 33387])).
% 20.92/14.50 tff(33390,plain,
% 20.92/14.50 ((~v9(constB99)) | v141(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33389, 22396, 12882])).
% 20.92/14.50 tff(33391,plain,
% 20.92/14.50 (v141(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33390, 33386])).
% 20.92/14.50 tff(33392,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB99) | (~v141(constB99)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB99) | (~v141(constB99)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33393,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB99) | (~v141(constB99)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33394,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB99) | (~v141(constB99))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33393, 33392])).
% 20.92/14.50 tff(33395,plain,
% 20.92/14.50 (v140(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33394, 22408, 33391])).
% 20.92/14.50 tff(33396,plain,
% 20.92/14.50 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB99)) | (~v163(constB99)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB99)) | (~v163(constB99)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33397,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB99)) | (~v163(constB99)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33398,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB99)) | (~v163(constB99))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33397, 33396])).
% 20.92/14.50 tff(33399,plain,
% 20.92/14.50 (~v163(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33398, 22781, 33395])).
% 20.92/14.50 tff(33400,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB99)) | v163(constB99) | v164(constB99))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB99)) | v163(constB99) | v164(constB99))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33401,plain,
% 20.92/14.50 ((v164(constB99) | v163(constB99) | (~v160(constB99))) <=> ((~v160(constB99)) | v163(constB99) | v164(constB99))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33402,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB99) | v163(constB99) | (~v160(constB99)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB99)) | v163(constB99) | v164(constB99)))),
% 20.92/14.50 inference(monotonicity,[status(thm)],[33401])).
% 20.92/14.50 tff(33403,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB99) | v163(constB99) | (~v160(constB99)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB99)) | v163(constB99) | v164(constB99))),
% 20.92/14.50 inference(transitivity,[status(thm)],[33402, 33400])).
% 20.92/14.50 tff(33404,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB99) | v163(constB99) | (~v160(constB99)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33405,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB99)) | v163(constB99) | v164(constB99)),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33404, 33403])).
% 20.92/14.50 tff(33406,plain,
% 20.92/14.50 ((~v160(constB99)) | v164(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33405, 22795, 33399])).
% 20.92/14.50 tff(33407,plain,
% 20.92/14.50 (~v160(constB99)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33406, 33364])).
% 20.92/14.50 tff(33408,plain,
% 20.92/14.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33409,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33410,plain,
% 20.92/14.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33409, 33408])).
% 20.92/14.50 tff(33411,plain,
% 20.92/14.50 (v160(constB99) | (~v162(constB100))),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33410, 22813, 13000])).
% 20.92/14.50 tff(33412,plain,
% 20.92/14.50 (~v162(constB100)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33411, 33407])).
% 20.92/14.50 tff(33413,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB100) | (~v163(constB100)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB100) | (~v163(constB100)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33414,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB100) | (~v163(constB100)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33415,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB100) | (~v163(constB100))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33414, 33413])).
% 20.92/14.50 tff(33416,plain,
% 20.92/14.50 (~v163(constB100)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33415, 22825, 33412])).
% 20.92/14.50 tff(33417,plain,
% 20.92/14.50 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB100)) | (~v141(constB100)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB100)) | (~v141(constB100)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33418,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB100)) | (~v141(constB100)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33419,plain,
% 20.92/14.50 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB100)) | (~v141(constB100))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33418, 33417])).
% 20.92/14.50 tff(33420,plain,
% 20.92/14.50 (~v141(constB100)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33419, 22474, 13057])).
% 20.92/14.50 tff(33421,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB100) | (~v154(constB100)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB100) | (~v154(constB100)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33422,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB100) | (~v154(constB100)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33423,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB100) | (~v154(constB100))),
% 20.92/14.50 inference(modus_ponens,[status(thm)],[33422, 33421])).
% 20.92/14.50 tff(33424,plain,
% 20.92/14.50 (~v154(constB100)),
% 20.92/14.50 inference(unit_resolution,[status(thm)],[33423, 22608, 33420])).
% 20.92/14.50 tff(33425,plain,
% 20.92/14.50 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB100) | (~v164(constB100)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB100) | (~v164(constB100)))),
% 20.92/14.50 inference(rewrite,[status(thm)],[])).
% 20.92/14.50 tff(33426,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB100) | (~v164(constB100)))),
% 20.92/14.50 inference(quant_inst,[status(thm)],[])).
% 20.92/14.50 tff(33427,plain,
% 20.92/14.50 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB100) | (~v164(constB100))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33426, 33425])).
% 20.92/14.51 tff(33428,plain,
% 20.92/14.51 (~v164(constB100)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33427, 22836, 33424])).
% 20.92/14.51 tff(33429,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB100)) | v164(constB100) | v163(constB100))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB100)) | v164(constB100) | v163(constB100))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33430,plain,
% 20.92/14.51 ((v164(constB100) | v163(constB100) | (~v160(constB100))) <=> ((~v160(constB100)) | v164(constB100) | v163(constB100))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33431,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB100) | v163(constB100) | (~v160(constB100)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB100)) | v164(constB100) | v163(constB100)))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33430])).
% 20.92/14.51 tff(33432,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB100) | v163(constB100) | (~v160(constB100)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB100)) | v164(constB100) | v163(constB100))),
% 20.92/14.51 inference(transitivity,[status(thm)],[33431, 33429])).
% 20.92/14.51 tff(33433,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB100) | v163(constB100) | (~v160(constB100)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33434,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB100)) | v164(constB100) | v163(constB100)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33433, 33432])).
% 20.92/14.51 tff(33435,plain,
% 20.92/14.51 ((~v160(constB100)) | v163(constB100)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33434, 22795, 33428])).
% 20.92/14.51 tff(33436,plain,
% 20.92/14.51 (~v160(constB100)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33435, 33416])).
% 20.92/14.51 tff(33437,plain,
% 20.92/14.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33438,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33439,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33438, 33437])).
% 20.92/14.51 tff(33440,plain,
% 20.92/14.51 (v160(constB100) | (~v162(constB101))),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33439, 22813, 13123])).
% 20.92/14.51 tff(33441,plain,
% 20.92/14.51 (~v162(constB101)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33440, 33436])).
% 20.92/14.51 tff(33442,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33441, 33273])).
% 20.92/14.51 tff(33443,plain,(~(constB101 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33444,assumption,(constB106 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33445,plain,
% 20.92/14.51 (v1(constB106) <=> v1(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33444])).
% 20.92/14.51 tff(33446,plain,
% 20.92/14.51 (v1(sK0_VarCurr) <=> v1(constB106)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33445])).
% 20.92/14.51 tff(33447,plain,
% 20.92/14.51 ((~v1(sK0_VarCurr)) <=> (~v1(constB106))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33446])).
% 20.92/14.51 tff(33448,plain,
% 20.92/14.51 (~v1(constB106)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[23510, 33447])).
% 20.92/14.51 tff(33449,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[13694, 33448])).
% 20.92/14.51 tff(33450,plain,(~(constB106 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33451,assumption,(constB168 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33452,plain,
% 20.92/14.51 (v1(constB168) <=> v1(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33451])).
% 20.92/14.51 tff(33453,plain,
% 20.92/14.51 (v1(sK0_VarCurr) <=> v1(constB168)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33452])).
% 20.92/14.51 tff(33454,plain,
% 20.92/14.51 ((~v1(sK0_VarCurr)) <=> (~v1(constB168))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33453])).
% 20.92/14.51 tff(33455,plain,
% 20.92/14.51 (~v1(constB168)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[23510, 33454])).
% 20.92/14.51 tff(33456,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[20158, 33455])).
% 20.92/14.51 tff(33457,plain,(~(constB168 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33458,assumption,(constB114 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33459,plain,
% 20.92/14.51 (v1(constB114) <=> v1(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33458])).
% 20.92/14.51 tff(33460,plain,
% 20.92/14.51 (v1(sK0_VarCurr) <=> v1(constB114)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33459])).
% 20.92/14.51 tff(33461,plain,
% 20.92/14.51 ((~v1(sK0_VarCurr)) <=> (~v1(constB114))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33460])).
% 20.92/14.51 tff(33462,plain,
% 20.92/14.51 (~v1(constB114)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[23510, 33461])).
% 20.92/14.51 tff(33463,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[14469, 33462])).
% 20.92/14.51 tff(33464,plain,(~(constB114 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33465,assumption,(constB71 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33466,plain,
% 20.92/14.51 (v162(constB71) <=> v162(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33465])).
% 20.92/14.51 tff(33467,plain,
% 20.92/14.51 (v162(sK0_VarCurr) <=> v162(constB71)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33466])).
% 20.92/14.51 tff(33468,plain,
% 20.92/14.51 (v162(constB71)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[22337, 33467])).
% 20.92/14.51 tff(33469,assumption,(v18(constB70)), introduced(assumption)).
% 20.92/14.51 tff(33470,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB70))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33471,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33470, 2627, 33469])).
% 20.92/14.51 tff(33472,plain,(~v18(constB70)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33473,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33474,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33475,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33474, 33473])).
% 20.92/14.51 tff(33476,plain,
% 20.92/14.51 (v22(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33475, 2640, 7813])).
% 20.92/14.51 tff(33477,plain,
% 20.92/14.51 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB70)) | (~v22(constB70)) | v18(constB70))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB70)) | (~v22(constB70)) | v18(constB70))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33478,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB70)) | (~v22(constB70)) | v18(constB70))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33479,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB70)) | (~v22(constB70)) | v18(constB70)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33478, 33477])).
% 20.92/14.51 tff(33480,plain,
% 20.92/14.51 ((~v19(constB70)) | v18(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33479, 2654, 33476])).
% 20.92/14.51 tff(33481,plain,
% 20.92/14.51 (~v19(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33480, 33472])).
% 20.92/14.51 tff(33482,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33483,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33484,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33483, 33482])).
% 20.92/14.51 tff(33485,plain,
% 20.92/14.51 (v13(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33484, 2669, 33481])).
% 20.92/14.51 tff(33486,plain,
% 20.92/14.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB69, constB70)) | (~v13(constB70)) | v9(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB69, constB70)) | (~v13(constB70)) | v9(constB69))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33487,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB69, constB70)) | (~v13(constB70)) | v9(constB69))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33488,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB69, constB70)) | (~v13(constB70)) | v9(constB69)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33487, 33486])).
% 20.92/14.51 tff(33489,plain,
% 20.92/14.51 ((~v13(constB70)) | v9(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33488, 2686, 7793])).
% 20.92/14.51 tff(33490,plain,
% 20.92/14.51 (v9(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33489, 33485])).
% 20.92/14.51 tff(33491,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v141(constB69))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB69) | (~v9(constB69)) | v141(constB69))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33492,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v141(constB69))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33493,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB69) | (~v9(constB69)) | v141(constB69)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33492, 33491])).
% 20.92/14.51 tff(33494,plain,
% 20.92/14.51 ((~v9(constB69)) | v141(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33493, 22396, 7666])).
% 20.92/14.51 tff(33495,plain,
% 20.92/14.51 (v141(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33494, 33490])).
% 20.92/14.51 tff(33496,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB69) | (~v141(constB69)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB69) | (~v141(constB69)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33497,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB69) | (~v141(constB69)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33498,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB69) | (~v141(constB69))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33497, 33496])).
% 20.92/14.51 tff(33499,plain,
% 20.92/14.51 (v140(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33498, 22408, 33495])).
% 20.92/14.51 tff(33500,plain,
% 20.92/14.51 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB69)) | (~v163(constB69)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB69)) | (~v163(constB69)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33501,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB69)) | (~v163(constB69)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33502,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB69)) | (~v163(constB69))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 20.92/14.51 tff(33503,plain,
% 20.92/14.51 (~v163(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33502, 22781, 33499])).
% 20.92/14.51 tff(33504,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB69) | (~v164(constB69)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB69) | (~v164(constB69)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33505,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB69) | (~v164(constB69)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33506,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB69) | (~v164(constB69))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33505, 33504])).
% 20.92/14.51 tff(33507,plain,
% 20.92/14.51 (~v164(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33506, 22640, 32029])).
% 20.92/14.51 tff(33508,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB69)) | v163(constB69) | v164(constB69))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB69)) | v163(constB69) | v164(constB69))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33509,plain,
% 20.92/14.51 ((v164(constB69) | v163(constB69) | (~v160(constB69))) <=> ((~v160(constB69)) | v163(constB69) | v164(constB69))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33510,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB69) | v163(constB69) | (~v160(constB69)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB69)) | v163(constB69) | v164(constB69)))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33509])).
% 20.92/14.51 tff(33511,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB69) | v163(constB69) | (~v160(constB69)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB69)) | v163(constB69) | v164(constB69))),
% 20.92/14.51 inference(transitivity,[status(thm)],[33510, 33508])).
% 20.92/14.51 tff(33512,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB69) | v163(constB69) | (~v160(constB69)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33513,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB69)) | v163(constB69) | v164(constB69)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33512, 33511])).
% 20.92/14.51 tff(33514,plain,
% 20.92/14.51 ((~v160(constB69)) | v163(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33513, 22795, 33507])).
% 20.92/14.51 tff(33515,plain,
% 20.92/14.51 (~v160(constB69)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33514, 33503])).
% 20.92/14.51 tff(33516,plain,
% 20.92/14.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB69, constB70)) | v160(constB69) | (~v162(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB69, constB70)) | v160(constB69) | (~v162(constB70)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33517,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB69, constB70)) | v160(constB69) | (~v162(constB70)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33518,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB69, constB70)) | v160(constB69) | (~v162(constB70))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33517, 33516])).
% 20.92/14.51 tff(33519,plain,
% 20.92/14.51 (v160(constB69) | (~v162(constB70))),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33518, 22813, 7793])).
% 20.92/14.51 tff(33520,plain,
% 20.92/14.51 (~v162(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33519, 33515])).
% 20.92/14.51 tff(33521,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB70) | (~v163(constB70)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB70) | (~v163(constB70)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33522,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB70) | (~v163(constB70)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33523,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB70) | (~v163(constB70))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33522, 33521])).
% 20.92/14.51 tff(33524,plain,
% 20.92/14.51 (~v163(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33523, 22825, 33520])).
% 20.92/14.51 tff(33525,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB70) | (~v164(constB70)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB70) | (~v164(constB70)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33526,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB70) | (~v164(constB70)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33527,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB70) | (~v164(constB70))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33526, 33525])).
% 20.92/14.51 tff(33528,plain,
% 20.92/14.51 (~v164(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33527, 22836, 32055])).
% 20.92/14.51 tff(33529,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB70)) | v164(constB70) | v163(constB70))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB70)) | v164(constB70) | v163(constB70))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33530,plain,
% 20.92/14.51 ((v164(constB70) | v163(constB70) | (~v160(constB70))) <=> ((~v160(constB70)) | v164(constB70) | v163(constB70))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33531,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB70) | v163(constB70) | (~v160(constB70)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB70)) | v164(constB70) | v163(constB70)))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33530])).
% 20.92/14.51 tff(33532,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB70) | v163(constB70) | (~v160(constB70)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB70)) | v164(constB70) | v163(constB70))),
% 20.92/14.51 inference(transitivity,[status(thm)],[33531, 33529])).
% 20.92/14.51 tff(33533,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB70) | v163(constB70) | (~v160(constB70)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33534,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB70)) | v164(constB70) | v163(constB70)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33533, 33532])).
% 20.92/14.51 tff(33535,plain,
% 20.92/14.51 ((~v160(constB70)) | v163(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33534, 22795, 33528])).
% 20.92/14.51 tff(33536,plain,
% 20.92/14.51 (~v160(constB70)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33535, 33524])).
% 20.92/14.51 tff(33537,plain,
% 20.92/14.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB70, constB71)) | v160(constB70) | (~v162(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB70, constB71)) | v160(constB70) | (~v162(constB71)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33538,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB70, constB71)) | v160(constB70) | (~v162(constB71)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33539,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB70, constB71)) | v160(constB70) | (~v162(constB71))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33538, 33537])).
% 20.92/14.51 tff(33540,plain,
% 20.92/14.51 (v160(constB70) | (~v162(constB71))),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33539, 22813, 7855])).
% 20.92/14.51 tff(33541,plain,
% 20.92/14.51 (~v162(constB71)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33540, 33536])).
% 20.92/14.51 tff(33542,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33541, 33468])).
% 20.92/14.51 tff(33543,plain,(~(constB71 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33544,assumption,(constB148 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33545,plain,
% 20.92/14.51 (v1(constB148) <=> v1(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33544])).
% 20.92/14.51 tff(33546,plain,
% 20.92/14.51 (v1(sK0_VarCurr) <=> v1(constB148)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33545])).
% 20.92/14.51 tff(33547,plain,
% 20.92/14.51 ((~v1(sK0_VarCurr)) <=> (~v1(constB148))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33546])).
% 20.92/14.51 tff(33548,plain,
% 20.92/14.51 (~v1(constB148)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[23510, 33547])).
% 20.92/14.51 tff(33549,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[18072, 33548])).
% 20.92/14.51 tff(33550,plain,(~(constB148 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33551,assumption,(constB166 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33552,plain,
% 20.92/14.51 (v1(constB166) <=> v1(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33551])).
% 20.92/14.51 tff(33553,plain,
% 20.92/14.51 (v1(sK0_VarCurr) <=> v1(constB166)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33552])).
% 20.92/14.51 tff(33554,plain,
% 20.92/14.51 ((~v1(sK0_VarCurr)) <=> (~v1(constB166))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33553])).
% 20.92/14.51 tff(33555,plain,
% 20.92/14.51 (~v1(constB166)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[23510, 33554])).
% 20.92/14.51 tff(33556,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[19979, 33555])).
% 20.92/14.51 tff(33557,plain,(~(constB166 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33558,assumption,(constB123 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33559,plain,
% 20.92/14.51 (v162(constB123) <=> v162(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33558])).
% 20.92/14.51 tff(33560,plain,
% 20.92/14.51 (v162(sK0_VarCurr) <=> v162(constB123)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33559])).
% 20.92/14.51 tff(33561,plain,
% 20.92/14.51 (v162(constB123)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[22337, 33560])).
% 20.92/14.51 tff(33562,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[31804, 33561])).
% 20.92/14.51 tff(33563,plain,(~(constB123 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33564,assumption,(constB32 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33565,plain,
% 20.92/14.51 (v1(constB32) <=> v1(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33564])).
% 20.92/14.51 tff(33566,plain,
% 20.92/14.51 (v1(sK0_VarCurr) <=> v1(constB32)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33565])).
% 20.92/14.51 tff(33567,plain,
% 20.92/14.51 ((~v1(sK0_VarCurr)) <=> (~v1(constB32))),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33566])).
% 20.92/14.51 tff(33568,plain,
% 20.92/14.51 (~v1(constB32)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[23510, 33567])).
% 20.92/14.51 tff(33569,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[3994, 33568])).
% 20.92/14.51 tff(33570,plain,(~(constB32 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33571,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.51 tff(33572,plain,
% 20.92/14.51 (v162(constB145) <=> v162(sK0_VarCurr)),
% 20.92/14.51 inference(monotonicity,[status(thm)],[33571])).
% 20.92/14.51 tff(33573,plain,
% 20.92/14.51 (v162(sK0_VarCurr) <=> v162(constB145)),
% 20.92/14.51 inference(symmetry,[status(thm)],[33572])).
% 20.92/14.51 tff(33574,plain,
% 20.92/14.51 (v162(constB145)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[22337, 33573])).
% 20.92/14.51 tff(33575,plain,
% 20.92/14.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v145(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB139, bitIndex1)) | (~v145(constB139)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33576,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v145(constB139)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33577,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB139, bitIndex1)) | (~v145(constB139))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33576, 33575])).
% 20.92/14.51 tff(33578,plain,
% 20.92/14.51 (~v145(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33577, 2012, 17072])).
% 20.92/14.51 tff(33579,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB139) | (~v144(constB139)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB139) | (~v144(constB139)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33580,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB139) | (~v144(constB139)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33581,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB139) | (~v144(constB139))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33580, 33579])).
% 20.92/14.51 tff(33582,plain,
% 20.92/14.51 (~v144(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33581, 22349, 33578])).
% 20.92/14.51 tff(33583,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB139) | (~v142(constB139)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB139) | (~v142(constB139)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33584,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB139) | (~v142(constB139)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33585,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB139) | (~v142(constB139))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33584, 33583])).
% 20.92/14.51 tff(33586,plain,
% 20.92/14.51 (~v142(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33585, 22360, 33582])).
% 20.92/14.51 tff(33587,assumption,(v18(constB140)), introduced(assumption)).
% 20.92/14.51 tff(33588,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB140))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33589,plain,
% 20.92/14.51 ($false),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33588, 2627, 33587])).
% 20.92/14.51 tff(33590,plain,(~v18(constB140)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.51 tff(33591,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33592,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33593,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33592, 33591])).
% 20.92/14.51 tff(33594,plain,
% 20.92/14.51 (v22(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33593, 2640, 17145])).
% 20.92/14.51 tff(33595,plain,
% 20.92/14.51 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB140)) | (~v22(constB140)) | v18(constB140))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB140)) | (~v22(constB140)) | v18(constB140))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33596,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB140)) | (~v22(constB140)) | v18(constB140))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33597,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB140)) | (~v22(constB140)) | v18(constB140)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33596, 33595])).
% 20.92/14.51 tff(33598,plain,
% 20.92/14.51 ((~v19(constB140)) | v18(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33597, 2654, 33594])).
% 20.92/14.51 tff(33599,plain,
% 20.92/14.51 (~v19(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33598, 33590])).
% 20.92/14.51 tff(33600,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33601,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33602,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33601, 33600])).
% 20.92/14.51 tff(33603,plain,
% 20.92/14.51 (v13(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33602, 2669, 33599])).
% 20.92/14.51 tff(33604,plain,
% 20.92/14.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33605,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33606,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB139, constB140)) | (~v13(constB140)) | v9(constB139)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33605, 33604])).
% 20.92/14.51 tff(33607,plain,
% 20.92/14.51 ((~v13(constB140)) | v9(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33606, 2686, 17126])).
% 20.92/14.51 tff(33608,plain,
% 20.92/14.51 (v9(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33607, 33603])).
% 20.92/14.51 tff(33609,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v141(constB139))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB139) | (~v9(constB139)) | v141(constB139))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33610,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v141(constB139))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33611,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB139) | (~v9(constB139)) | v141(constB139)),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33610, 33609])).
% 20.92/14.51 tff(33612,plain,
% 20.92/14.51 ((~v9(constB139)) | v141(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33611, 22396, 17017])).
% 20.92/14.51 tff(33613,plain,
% 20.92/14.51 (v141(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33612, 33608])).
% 20.92/14.51 tff(33614,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB139) | (~v141(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB139) | (~v141(constB139)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33615,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB139) | (~v141(constB139)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33616,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB139) | (~v141(constB139))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33615, 33614])).
% 20.92/14.51 tff(33617,plain,
% 20.92/14.51 (v140(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33616, 22408, 33613])).
% 20.92/14.51 tff(33618,plain,
% 20.92/14.51 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB139)) | (~v138(constB139)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB139)) | (~v138(constB139)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33619,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB139)) | (~v138(constB139)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33620,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB139)) | (~v138(constB139))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33619, 33618])).
% 20.92/14.51 tff(33621,plain,
% 20.92/14.51 (~v138(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33620, 22419, 33617])).
% 20.92/14.51 tff(33622,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB139) | v142(constB139) | (~v135(constB139)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB139) | v142(constB139) | (~v135(constB139)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33623,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB139) | v142(constB139) | (~v135(constB139)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33624,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB139) | v142(constB139) | (~v135(constB139))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33623, 33622])).
% 20.92/14.51 tff(33625,plain,
% 20.92/14.51 (v142(constB139) | (~v135(constB139))),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33624, 22436, 33621])).
% 20.92/14.51 tff(33626,plain,
% 20.92/14.51 (~v135(constB139)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33625, 33586])).
% 20.92/14.51 tff(33627,plain,
% 20.92/14.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33628,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33629,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33628, 33627])).
% 20.92/14.51 tff(33630,plain,
% 20.92/14.51 (v135(constB139) | (~v137(constB140))),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33629, 22451, 17126])).
% 20.92/14.51 tff(33631,plain,
% 20.92/14.51 (~v137(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33630, 33626])).
% 20.92/14.51 tff(33632,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB140) | (~v138(constB140)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB140) | (~v138(constB140)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33633,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB140) | (~v138(constB140)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33634,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB140) | (~v138(constB140))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33633, 33632])).
% 20.92/14.51 tff(33635,plain,
% 20.92/14.51 (~v138(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33634, 22463, 33631])).
% 20.92/14.51 tff(33636,plain,
% 20.92/14.51 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB140)) | (~v141(constB140)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB140)) | (~v141(constB140)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33637,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB140)) | (~v141(constB140)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33638,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB140)) | (~v141(constB140))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33637, 33636])).
% 20.92/14.51 tff(33639,plain,
% 20.92/14.51 (~v141(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33638, 22474, 17145])).
% 20.92/14.51 tff(33640,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB140) | (~v144(constB140)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB140) | (~v144(constB140)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33641,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB140) | (~v144(constB140)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33642,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB140) | (~v144(constB140))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33641, 33640])).
% 20.92/14.51 tff(33643,plain,
% 20.92/14.51 (~v144(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33642, 22485, 33639])).
% 20.92/14.51 tff(33644,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB140) | (~v142(constB140)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB140) | (~v142(constB140)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33645,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB140) | (~v142(constB140)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33646,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB140) | (~v142(constB140))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33645, 33644])).
% 20.92/14.51 tff(33647,plain,
% 20.92/14.51 (~v142(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33646, 22360, 33643])).
% 20.92/14.51 tff(33648,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB140) | v142(constB140) | (~v135(constB140)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB140) | v142(constB140) | (~v135(constB140)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33649,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB140) | v142(constB140) | (~v135(constB140)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33650,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB140) | v142(constB140) | (~v135(constB140))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33649, 33648])).
% 20.92/14.51 tff(33651,plain,
% 20.92/14.51 (v138(constB140) | (~v135(constB140))),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33650, 22436, 33647])).
% 20.92/14.51 tff(33652,plain,
% 20.92/14.51 (~v135(constB140)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33651, 33635])).
% 20.92/14.51 tff(33653,plain,
% 20.92/14.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33654,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33655,plain,
% 20.92/14.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33654, 33653])).
% 20.92/14.51 tff(33656,plain,
% 20.92/14.51 (v135(constB140) | (~v137(constB141))),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33655, 22451, 17275])).
% 20.92/14.51 tff(33657,plain,
% 20.92/14.51 (~v137(constB141)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33656, 33652])).
% 20.92/14.51 tff(33658,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB141) | (~v153(constB141)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB141) | (~v153(constB141)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33659,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB141) | (~v153(constB141)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33660,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB141) | (~v153(constB141))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33659, 33658])).
% 20.92/14.51 tff(33661,plain,
% 20.92/14.51 (~v153(constB141)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33660, 22510, 33657])).
% 20.92/14.51 tff(33662,plain,
% 20.92/14.51 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB141)) | (~v155(constB141)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB141)) | (~v155(constB141)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33663,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB141)) | (~v155(constB141)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33664,plain,
% 20.92/14.51 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB141)) | (~v155(constB141))),
% 20.92/14.51 inference(modus_ponens,[status(thm)],[33663, 33662])).
% 20.92/14.51 tff(33665,plain,
% 20.92/14.51 (~v155(constB141)),
% 20.92/14.51 inference(unit_resolution,[status(thm)],[33664, 22552, 24263])).
% 20.92/14.51 tff(33666,plain,
% 20.92/14.51 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB141) | v155(constB141) | (~v150(constB141)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB141) | v155(constB141) | (~v150(constB141)))),
% 20.92/14.51 inference(rewrite,[status(thm)],[])).
% 20.92/14.51 tff(33667,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB141) | v155(constB141) | (~v150(constB141)))),
% 20.92/14.51 inference(quant_inst,[status(thm)],[])).
% 20.92/14.51 tff(33668,plain,
% 20.92/14.51 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB141) | v155(constB141) | (~v150(constB141))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33667, 33666])).
% 20.92/14.52 tff(33669,plain,
% 20.92/14.52 (v153(constB141) | (~v150(constB141))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33668, 22566, 33665])).
% 20.92/14.52 tff(33670,plain,
% 20.92/14.52 (~v150(constB141)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33669, 33661])).
% 20.92/14.52 tff(33671,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33672,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33673,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33672, 33671])).
% 20.92/14.52 tff(33674,plain,
% 20.92/14.52 (v150(constB141) | (~v152(constB142))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33673, 22581, 17393])).
% 20.92/14.52 tff(33675,plain,
% 20.92/14.52 (~v152(constB142)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33674, 33670])).
% 20.92/14.52 tff(33676,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB142) | (~v155(constB142)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB142) | (~v155(constB142)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33677,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB142) | (~v155(constB142)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33678,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB142) | (~v155(constB142))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33677, 33676])).
% 20.92/14.52 tff(33679,plain,
% 20.92/14.52 (~v155(constB142)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33678, 22593, 33675])).
% 20.92/14.52 tff(33680,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB142) | (~v154(constB142)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB142) | (~v154(constB142)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33681,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB142) | (~v154(constB142)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33682,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB142) | (~v154(constB142))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33681, 33680])).
% 20.92/14.52 tff(33683,plain,
% 20.92/14.52 (~v154(constB142)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33682, 22608, 24288])).
% 20.92/14.52 tff(33684,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB142) | (~v153(constB142)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB142) | (~v153(constB142)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33685,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB142) | (~v153(constB142)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33686,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB142) | (~v153(constB142))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33685, 33684])).
% 20.92/14.52 tff(33687,plain,
% 20.92/14.52 (~v153(constB142)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33686, 22619, 33683])).
% 20.92/14.52 tff(33688,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB142) | v155(constB142) | (~v150(constB142)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB142) | v155(constB142) | (~v150(constB142)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33689,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB142) | v155(constB142) | (~v150(constB142)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33690,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB142) | v155(constB142) | (~v150(constB142))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 20.92/14.52 tff(33691,plain,
% 20.92/14.52 (v155(constB142) | (~v150(constB142))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33690, 22566, 33687])).
% 20.92/14.52 tff(33692,plain,
% 20.92/14.52 (~v150(constB142)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33691, 33679])).
% 20.92/14.52 tff(33693,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33694,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33695,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33694, 33693])).
% 20.92/14.52 tff(33696,plain,
% 20.92/14.52 (v150(constB142) | (~v152(constB143))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33695, 22581, 17491])).
% 20.92/14.52 tff(33697,plain,
% 20.92/14.52 (~v152(constB143)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33696, 33692])).
% 20.92/14.52 tff(33698,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB143) | (~v164(constB143)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB143) | (~v164(constB143)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33699,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB143) | (~v164(constB143)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33700,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB143) | (~v164(constB143))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 20.92/14.52 tff(33701,plain,
% 20.92/14.52 (~v164(constB143)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33700, 22640, 33697])).
% 20.92/14.52 tff(33702,plain,
% 20.92/14.52 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB143)) | (~v163(constB143)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB143)) | (~v163(constB143)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33703,plain,
% 20.92/14.52 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB143)) | (~v163(constB143)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33704,plain,
% 20.92/14.52 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB143)) | (~v163(constB143))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33703, 33702])).
% 20.92/14.52 tff(33705,plain,
% 20.92/14.52 (~v163(constB143)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33704, 22781, 24341])).
% 20.92/14.52 tff(33706,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB143)) | v163(constB143) | v164(constB143))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB143)) | v163(constB143) | v164(constB143))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33707,plain,
% 20.92/14.52 ((v164(constB143) | v163(constB143) | (~v160(constB143))) <=> ((~v160(constB143)) | v163(constB143) | v164(constB143))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33708,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB143) | v163(constB143) | (~v160(constB143)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB143)) | v163(constB143) | v164(constB143)))),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33707])).
% 20.92/14.52 tff(33709,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB143) | v163(constB143) | (~v160(constB143)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB143)) | v163(constB143) | v164(constB143))),
% 20.92/14.52 inference(transitivity,[status(thm)],[33708, 33706])).
% 20.92/14.52 tff(33710,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB143) | v163(constB143) | (~v160(constB143)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33711,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB143)) | v163(constB143) | v164(constB143)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33710, 33709])).
% 20.92/14.52 tff(33712,plain,
% 20.92/14.52 ((~v160(constB143)) | v164(constB143)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33711, 22795, 33705])).
% 20.92/14.52 tff(33713,plain,
% 20.92/14.52 (~v160(constB143)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33712, 33701])).
% 20.92/14.52 tff(33714,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33715,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33716,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33715, 33714])).
% 20.92/14.52 tff(33717,plain,
% 20.92/14.52 (v160(constB143) | (~v162(constB144))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33716, 22813, 17656])).
% 20.92/14.52 tff(33718,plain,
% 20.92/14.52 (~v162(constB144)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33717, 33713])).
% 20.92/14.52 tff(33719,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB144) | (~v163(constB144)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB144) | (~v163(constB144)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33720,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB144) | (~v163(constB144)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33721,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB144) | (~v163(constB144))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33720, 33719])).
% 20.92/14.52 tff(33722,plain,
% 20.92/14.52 (~v163(constB144)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33721, 22825, 33718])).
% 20.92/14.52 tff(33723,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB144) | (~v164(constB144)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB144) | (~v164(constB144)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33724,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB144) | (~v164(constB144)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33725,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB144) | (~v164(constB144))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33724, 33723])).
% 20.92/14.52 tff(33726,plain,
% 20.92/14.52 (~v164(constB144)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33725, 22836, 24367])).
% 20.92/14.52 tff(33727,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB144)) | v164(constB144) | v163(constB144))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB144)) | v164(constB144) | v163(constB144))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33728,plain,
% 20.92/14.52 ((v164(constB144) | v163(constB144) | (~v160(constB144))) <=> ((~v160(constB144)) | v164(constB144) | v163(constB144))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33729,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB144) | v163(constB144) | (~v160(constB144)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB144)) | v164(constB144) | v163(constB144)))),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33728])).
% 20.92/14.52 tff(33730,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB144) | v163(constB144) | (~v160(constB144)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB144)) | v164(constB144) | v163(constB144))),
% 20.92/14.52 inference(transitivity,[status(thm)],[33729, 33727])).
% 20.92/14.52 tff(33731,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB144) | v163(constB144) | (~v160(constB144)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33732,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB144)) | v164(constB144) | v163(constB144)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33731, 33730])).
% 20.92/14.52 tff(33733,plain,
% 20.92/14.52 ((~v160(constB144)) | v163(constB144)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33732, 22795, 33726])).
% 20.92/14.52 tff(33734,plain,
% 20.92/14.52 (~v160(constB144)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33733, 33722])).
% 20.92/14.52 tff(33735,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33736,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33737,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33736, 33735])).
% 20.92/14.52 tff(33738,plain,
% 20.92/14.52 (v160(constB144) | (~v162(constB145))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33737, 22813, 17718])).
% 20.92/14.52 tff(33739,plain,
% 20.92/14.52 (~v162(constB145)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33738, 33734])).
% 20.92/14.52 tff(33740,plain,
% 20.92/14.52 ($false),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33739, 33574])).
% 20.92/14.52 tff(33741,plain,(~(constB145 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.52 tff(33742,assumption,(constB164 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.52 tff(33743,plain,
% 20.92/14.52 (v1(constB164) <=> v1(sK0_VarCurr)),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33742])).
% 20.92/14.52 tff(33744,plain,
% 20.92/14.52 (v1(sK0_VarCurr) <=> v1(constB164)),
% 20.92/14.52 inference(symmetry,[status(thm)],[33743])).
% 20.92/14.52 tff(33745,plain,
% 20.92/14.52 ((~v1(sK0_VarCurr)) <=> (~v1(constB164))),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33744])).
% 20.92/14.52 tff(33746,plain,
% 20.92/14.52 (~v1(constB164)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[23510, 33745])).
% 20.92/14.52 tff(33747,plain,
% 20.92/14.52 ($false),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[19822, 33746])).
% 20.92/14.52 tff(33748,plain,(~(constB164 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.52 tff(33749,assumption,(constB3 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.52 tff(33750,plain,
% 20.92/14.52 (v162(constB3) <=> v162(sK0_VarCurr)),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33749])).
% 20.92/14.52 tff(33751,plain,
% 20.92/14.52 (v162(sK0_VarCurr) <=> v162(constB3)),
% 20.92/14.52 inference(symmetry,[status(thm)],[33750])).
% 20.92/14.52 tff(33752,plain,
% 20.92/14.52 (v162(constB3)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[22337, 33751])).
% 20.92/14.52 tff(33753,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB1) | (~v163(constB1)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB1) | (~v163(constB1)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33754,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB1) | (~v163(constB1)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33755,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB1) | (~v163(constB1))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33754, 33753])).
% 20.92/14.52 tff(33756,plain,
% 20.92/14.52 (~v163(constB1)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33755, 22825, 27290])).
% 20.92/14.52 tff(33757,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB0) | (~v155(constB0)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB0) | (~v155(constB0)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33758,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB0) | (~v155(constB0)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33759,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB0) | (~v155(constB0))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33758, 33757])).
% 20.92/14.52 tff(33760,plain,
% 20.92/14.52 (~v155(constB0)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33759, 27274, 22593])).
% 20.92/14.52 tff(33761,plain,
% 20.92/14.52 ((~v137(constB0)) <=> (~v137(constB0))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33762,axiom,(~v137(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_5_1_1_1')).
% 20.92/14.52 tff(33763,plain,
% 20.92/14.52 (~v137(constB0)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33762, 33761])).
% 20.92/14.52 tff(33764,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB0) | (~v153(constB0)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB0) | (~v153(constB0)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33765,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB0) | (~v153(constB0)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33766,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB0) | (~v153(constB0))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33765, 33764])).
% 20.92/14.52 tff(33767,plain,
% 20.92/14.52 (~v153(constB0)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33766, 33763, 22510])).
% 20.92/14.52 tff(33768,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB0) | v155(constB0) | (~v150(constB0)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB0) | v155(constB0) | (~v150(constB0)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33769,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB0) | v155(constB0) | (~v150(constB0)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33770,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB0) | v155(constB0) | (~v150(constB0))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33769, 33768])).
% 20.92/14.52 tff(33771,plain,
% 20.92/14.52 (~v150(constB0)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33770, 22566, 33767, 33760])).
% 20.92/14.52 tff(33772,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33773,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33774,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33773, 33772])).
% 20.92/14.52 tff(33775,plain,
% 20.92/14.52 (v150(constB0) | (~v152(constB1))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33774, 22581, 79])).
% 20.92/14.52 tff(33776,plain,
% 20.92/14.52 (~v152(constB1)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33775, 33771])).
% 20.92/14.52 tff(33777,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB1) | (~v164(constB1)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB1) | (~v164(constB1)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33778,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB1) | (~v164(constB1)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33779,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB1) | (~v164(constB1))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33778, 33777])).
% 20.92/14.52 tff(33780,plain,
% 20.92/14.52 (~v164(constB1)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33779, 22640, 33776])).
% 20.92/14.52 tff(33781,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB1)) | v164(constB1) | v163(constB1))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB1)) | v164(constB1) | v163(constB1))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33782,plain,
% 20.92/14.52 ((v164(constB1) | v163(constB1) | (~v160(constB1))) <=> ((~v160(constB1)) | v164(constB1) | v163(constB1))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33783,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB1) | v163(constB1) | (~v160(constB1)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB1)) | v164(constB1) | v163(constB1)))),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33782])).
% 20.92/14.52 tff(33784,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB1) | v163(constB1) | (~v160(constB1)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB1)) | v164(constB1) | v163(constB1))),
% 20.92/14.52 inference(transitivity,[status(thm)],[33783, 33781])).
% 20.92/14.52 tff(33785,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB1) | v163(constB1) | (~v160(constB1)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33786,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB1)) | v164(constB1) | v163(constB1)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33785, 33784])).
% 20.92/14.52 tff(33787,plain,
% 20.92/14.52 (~v160(constB1)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33786, 22795, 33780, 33756])).
% 20.92/14.52 tff(33788,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33789,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33790,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33789, 33788])).
% 20.92/14.52 tff(33791,plain,
% 20.92/14.52 (v160(constB1) | (~v162(constB2))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33790, 22813, 283])).
% 20.92/14.52 tff(33792,plain,
% 20.92/14.52 (~v162(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33791, 33787])).
% 20.92/14.52 tff(33793,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB2) | (~v163(constB2)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB2) | (~v163(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33794,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB2) | (~v163(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33795,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB2) | (~v163(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33794, 33793])).
% 20.92/14.52 tff(33796,plain,
% 20.92/14.52 (~v163(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33795, 22825, 33792])).
% 20.92/14.52 tff(33797,plain,
% 20.92/14.52 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB2)) | (~v141(constB2)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB2)) | (~v141(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33798,plain,
% 20.92/14.52 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB2)) | (~v141(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33799,plain,
% 20.92/14.52 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB2)) | (~v141(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33798, 33797])).
% 20.92/14.52 tff(33800,plain,
% 20.92/14.52 (~v141(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33799, 22474, 333])).
% 20.92/14.52 tff(33801,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB2) | (~v154(constB2)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB2) | (~v154(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33802,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB2) | (~v154(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33803,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB2) | (~v154(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33802, 33801])).
% 20.92/14.52 tff(33804,plain,
% 20.92/14.52 (~v154(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33803, 22608, 33800])).
% 20.92/14.52 tff(33805,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB2) | (~v164(constB2)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB2) | (~v164(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33806,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB2) | (~v164(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33807,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB2) | (~v164(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33806, 33805])).
% 20.92/14.52 tff(33808,plain,
% 20.92/14.52 (~v164(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33807, 22836, 33804])).
% 20.92/14.52 tff(33809,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB2)) | v164(constB2) | v163(constB2))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB2)) | v164(constB2) | v163(constB2))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33810,plain,
% 20.92/14.52 ((v164(constB2) | v163(constB2) | (~v160(constB2))) <=> ((~v160(constB2)) | v164(constB2) | v163(constB2))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33811,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB2) | v163(constB2) | (~v160(constB2)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB2)) | v164(constB2) | v163(constB2)))),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33810])).
% 20.92/14.52 tff(33812,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB2) | v163(constB2) | (~v160(constB2)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB2)) | v164(constB2) | v163(constB2))),
% 20.92/14.52 inference(transitivity,[status(thm)],[33811, 33809])).
% 20.92/14.52 tff(33813,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB2) | v163(constB2) | (~v160(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33814,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB2)) | v164(constB2) | v163(constB2)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33813, 33812])).
% 20.92/14.52 tff(33815,plain,
% 20.92/14.52 ((~v160(constB2)) | v163(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33814, 22795, 33808])).
% 20.92/14.52 tff(33816,plain,
% 20.92/14.52 (~v160(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33815, 33796])).
% 20.92/14.52 tff(33817,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33818,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33819,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33818, 33817])).
% 20.92/14.52 tff(33820,plain,
% 20.92/14.52 (v160(constB2) | (~v162(constB3))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33819, 22813, 438])).
% 20.92/14.52 tff(33821,plain,
% 20.92/14.52 (~v162(constB3)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33820, 33816])).
% 20.92/14.52 tff(33822,plain,
% 20.92/14.52 ($false),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33821, 33752])).
% 20.92/14.52 tff(33823,plain,(~(constB3 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.52 tff(33824,assumption,(constB84 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.52 tff(33825,plain,
% 20.92/14.52 (v1(constB84) <=> v1(sK0_VarCurr)),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33824])).
% 20.92/14.52 tff(33826,plain,
% 20.92/14.52 (v1(sK0_VarCurr) <=> v1(constB84)),
% 20.92/14.52 inference(symmetry,[status(thm)],[33825])).
% 20.92/14.52 tff(33827,plain,
% 20.92/14.52 ((~v1(sK0_VarCurr)) <=> (~v1(constB84))),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33826])).
% 20.92/14.52 tff(33828,plain,
% 20.92/14.52 (~v1(constB84)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[23510, 33827])).
% 20.92/14.52 tff(33829,plain,
% 20.92/14.52 ($false),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[9445, 33828])).
% 20.92/14.52 tff(33830,plain,(~(constB84 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.52 tff(33831,assumption,(constB112 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.52 tff(33832,plain,
% 20.92/14.52 (v1(constB112) <=> v1(sK0_VarCurr)),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33831])).
% 20.92/14.52 tff(33833,plain,
% 20.92/14.52 (v1(sK0_VarCurr) <=> v1(constB112)),
% 20.92/14.52 inference(symmetry,[status(thm)],[33832])).
% 20.92/14.52 tff(33834,plain,
% 20.92/14.52 ((~v1(sK0_VarCurr)) <=> (~v1(constB112))),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33833])).
% 20.92/14.52 tff(33835,plain,
% 20.92/14.52 (~v1(constB112)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[23510, 33834])).
% 20.92/14.52 tff(33836,plain,
% 20.92/14.52 ($false),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[14275, 33835])).
% 20.92/14.52 tff(33837,plain,(~(constB112 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.52 tff(33838,assumption,(constB5 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.52 tff(33839,plain,
% 20.92/14.52 (v162(constB5) <=> v162(sK0_VarCurr)),
% 20.92/14.52 inference(monotonicity,[status(thm)],[33838])).
% 20.92/14.52 tff(33840,plain,
% 20.92/14.52 (v162(sK0_VarCurr) <=> v162(constB5)),
% 20.92/14.52 inference(symmetry,[status(thm)],[33839])).
% 20.92/14.52 tff(33841,plain,
% 20.92/14.52 (v162(constB5)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[22337, 33840])).
% 20.92/14.52 tff(33842,plain,
% 20.92/14.52 (v1(constB0) <=> v1(constB0)),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33843,axiom,(v1(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_201')).
% 20.92/14.52 tff(33844,plain,
% 20.92/14.52 (v1(constB0)),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33843, 33842])).
% 20.92/14.52 tff(33845,plain,
% 20.92/14.52 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB0)) | (~v141(constB0)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB0)) | (~v141(constB0)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33846,plain,
% 20.92/14.52 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB0)) | (~v141(constB0)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33847,plain,
% 20.92/14.52 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB0)) | (~v141(constB0))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33846, 33845])).
% 20.92/14.52 tff(33848,plain,
% 20.92/14.52 (~v141(constB0)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33847, 22474, 33844])).
% 20.92/14.52 tff(33849,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB0) | (~v144(constB0)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB0) | (~v144(constB0)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33850,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB0) | (~v144(constB0)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33851,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB0) | (~v144(constB0))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33850, 33849])).
% 20.92/14.52 tff(33852,plain,
% 20.92/14.52 (~v144(constB0)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33851, 22485, 33848])).
% 20.92/14.52 tff(33853,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB0) | (~v142(constB0)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB0) | (~v142(constB0)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33854,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB0) | (~v142(constB0)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33855,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB0) | (~v142(constB0))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33854, 33853])).
% 20.92/14.52 tff(33856,plain,
% 20.92/14.52 (~v142(constB0)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33855, 22360, 33852])).
% 20.92/14.52 tff(33857,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB0) | (~v138(constB0)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB0) | (~v138(constB0)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33858,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB0) | (~v138(constB0)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33859,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB0) | (~v138(constB0))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 20.92/14.52 tff(33860,plain,
% 20.92/14.52 (~v138(constB0)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33859, 33763, 22463])).
% 20.92/14.52 tff(33861,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB0) | v142(constB0) | (~v135(constB0)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB0) | v142(constB0) | (~v135(constB0)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33862,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB0) | v142(constB0) | (~v135(constB0)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33863,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB0) | v142(constB0) | (~v135(constB0))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33862, 33861])).
% 20.92/14.52 tff(33864,plain,
% 20.92/14.52 (v142(constB0) | (~v135(constB0))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33863, 22436, 33860])).
% 20.92/14.52 tff(33865,plain,
% 20.92/14.52 (~v135(constB0)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33864, 33856])).
% 20.92/14.52 tff(33866,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33867,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33868,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33867, 33866])).
% 20.92/14.52 tff(33869,plain,
% 20.92/14.52 (v135(constB0) | (~v137(constB1))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33868, 22451, 79])).
% 20.92/14.52 tff(33870,plain,
% 20.92/14.52 (~v137(constB1)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33869, 33865])).
% 20.92/14.52 tff(33871,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB1) | (~v153(constB1)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB1) | (~v153(constB1)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33872,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB1) | (~v153(constB1)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33873,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB1) | (~v153(constB1))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33872, 33871])).
% 20.92/14.52 tff(33874,plain,
% 20.92/14.52 (~v153(constB1)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33873, 22510, 33870])).
% 20.92/14.52 tff(33875,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB1) | (~v155(constB1)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB1) | (~v155(constB1)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33876,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB1) | (~v155(constB1)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33877,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB1) | (~v155(constB1))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33876, 33875])).
% 20.92/14.52 tff(33878,plain,
% 20.92/14.52 (~v155(constB1)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33877, 22593, 33776])).
% 20.92/14.52 tff(33879,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB1) | v155(constB1) | (~v150(constB1)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB1) | v155(constB1) | (~v150(constB1)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33880,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB1) | v155(constB1) | (~v150(constB1)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33881,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB1) | v155(constB1) | (~v150(constB1))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 20.92/14.52 tff(33882,plain,
% 20.92/14.52 (v153(constB1) | (~v150(constB1))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33881, 22566, 33878])).
% 20.92/14.52 tff(33883,plain,
% 20.92/14.52 (~v150(constB1)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33882, 33874])).
% 20.92/14.52 tff(33884,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33885,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33886,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33885, 33884])).
% 20.92/14.52 tff(33887,plain,
% 20.92/14.52 (v150(constB1) | (~v152(constB2))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33886, 22581, 283])).
% 20.92/14.52 tff(33888,plain,
% 20.92/14.52 (~v152(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33887, 33883])).
% 20.92/14.52 tff(33889,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB2) | (~v155(constB2)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB2) | (~v155(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33890,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB2) | (~v155(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33891,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB2) | (~v155(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33890, 33889])).
% 20.92/14.52 tff(33892,plain,
% 20.92/14.52 (~v155(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33891, 22593, 33888])).
% 20.92/14.52 tff(33893,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB2) | (~v153(constB2)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB2) | (~v153(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33894,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB2) | (~v153(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33895,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB2) | (~v153(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33894, 33893])).
% 20.92/14.52 tff(33896,plain,
% 20.92/14.52 (~v153(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33895, 22619, 33804])).
% 20.92/14.52 tff(33897,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB2) | v155(constB2) | (~v150(constB2)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB2) | v155(constB2) | (~v150(constB2)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33898,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB2) | v155(constB2) | (~v150(constB2)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33899,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB2) | v155(constB2) | (~v150(constB2))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33898, 33897])).
% 20.92/14.52 tff(33900,plain,
% 20.92/14.52 (v155(constB2) | (~v150(constB2))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33899, 22566, 33896])).
% 20.92/14.52 tff(33901,plain,
% 20.92/14.52 (~v150(constB2)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33900, 33892])).
% 20.92/14.52 tff(33902,plain,
% 20.92/14.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33903,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33904,plain,
% 20.92/14.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33903, 33902])).
% 20.92/14.52 tff(33905,plain,
% 20.92/14.52 (v150(constB2) | (~v152(constB3))),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33904, 22581, 438])).
% 20.92/14.52 tff(33906,plain,
% 20.92/14.52 (~v152(constB3)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33905, 33901])).
% 20.92/14.52 tff(33907,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB3) | (~v164(constB3)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB3) | (~v164(constB3)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33908,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB3) | (~v164(constB3)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33909,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB3) | (~v164(constB3))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33908, 33907])).
% 20.92/14.52 tff(33910,plain,
% 20.92/14.52 (~v164(constB3)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33909, 22640, 33906])).
% 20.92/14.52 tff(33911,plain,
% 20.92/14.52 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB3) | (~v163(constB3)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB3) | (~v163(constB3)))),
% 20.92/14.52 inference(rewrite,[status(thm)],[])).
% 20.92/14.52 tff(33912,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB3) | (~v163(constB3)))),
% 20.92/14.52 inference(quant_inst,[status(thm)],[])).
% 20.92/14.52 tff(33913,plain,
% 20.92/14.52 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB3) | (~v163(constB3))),
% 20.92/14.52 inference(modus_ponens,[status(thm)],[33912, 33911])).
% 20.92/14.52 tff(33914,plain,
% 20.92/14.52 (~v163(constB3)),
% 20.92/14.52 inference(unit_resolution,[status(thm)],[33913, 22825, 33821])).
% 20.92/14.53 tff(33915,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB3)) | v163(constB3) | v164(constB3))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB3)) | v163(constB3) | v164(constB3))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33916,plain,
% 20.92/14.53 ((v164(constB3) | v163(constB3) | (~v160(constB3))) <=> ((~v160(constB3)) | v163(constB3) | v164(constB3))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33917,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB3) | v163(constB3) | (~v160(constB3)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB3)) | v163(constB3) | v164(constB3)))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33916])).
% 20.92/14.53 tff(33918,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB3) | v163(constB3) | (~v160(constB3)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB3)) | v163(constB3) | v164(constB3))),
% 20.92/14.53 inference(transitivity,[status(thm)],[33917, 33915])).
% 20.92/14.53 tff(33919,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB3) | v163(constB3) | (~v160(constB3)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33920,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB3)) | v163(constB3) | v164(constB3)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33919, 33918])).
% 20.92/14.53 tff(33921,plain,
% 20.92/14.53 (~v160(constB3)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33920, 22795, 33914, 33910])).
% 20.92/14.53 tff(33922,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33923,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33924,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33923, 33922])).
% 20.92/14.53 tff(33925,plain,
% 20.92/14.53 (v160(constB3) | (~v162(constB4))),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33924, 22813, 653])).
% 20.92/14.53 tff(33926,plain,
% 20.92/14.53 (~v162(constB4)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33925, 33921])).
% 20.92/14.53 tff(33927,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB4) | (~v163(constB4)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB4) | (~v163(constB4)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33928,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB4) | (~v163(constB4)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33929,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB4) | (~v163(constB4))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33928, 33927])).
% 20.92/14.53 tff(33930,plain,
% 20.92/14.53 (~v163(constB4)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33929, 22825, 33926])).
% 20.92/14.53 tff(33931,plain,
% 20.92/14.53 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB4)) | (~v141(constB4)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB4)) | (~v141(constB4)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33932,plain,
% 20.92/14.53 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB4)) | (~v141(constB4)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33933,plain,
% 20.92/14.53 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB4)) | (~v141(constB4))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33932, 33931])).
% 20.92/14.53 tff(33934,plain,
% 20.92/14.53 (~v141(constB4)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33933, 22474, 731])).
% 20.92/14.53 tff(33935,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB4) | (~v154(constB4)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB4) | (~v154(constB4)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33936,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB4) | (~v154(constB4)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33937,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB4) | (~v154(constB4))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33936, 33935])).
% 20.92/14.53 tff(33938,plain,
% 20.92/14.53 (~v154(constB4)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33937, 22608, 33934])).
% 20.92/14.53 tff(33939,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB4) | (~v164(constB4)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB4) | (~v164(constB4)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33940,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB4) | (~v164(constB4)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33941,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB4) | (~v164(constB4))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33940, 33939])).
% 20.92/14.53 tff(33942,plain,
% 20.92/14.53 (~v164(constB4)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33941, 22836, 33938])).
% 20.92/14.53 tff(33943,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB4)) | v164(constB4) | v163(constB4))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB4)) | v164(constB4) | v163(constB4))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33944,plain,
% 20.92/14.53 ((v164(constB4) | v163(constB4) | (~v160(constB4))) <=> ((~v160(constB4)) | v164(constB4) | v163(constB4))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33945,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB4) | v163(constB4) | (~v160(constB4)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB4)) | v164(constB4) | v163(constB4)))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33944])).
% 20.92/14.53 tff(33946,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB4) | v163(constB4) | (~v160(constB4)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB4)) | v164(constB4) | v163(constB4))),
% 20.92/14.53 inference(transitivity,[status(thm)],[33945, 33943])).
% 20.92/14.53 tff(33947,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB4) | v163(constB4) | (~v160(constB4)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33948,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB4)) | v164(constB4) | v163(constB4)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33947, 33946])).
% 20.92/14.53 tff(33949,plain,
% 20.92/14.53 ((~v160(constB4)) | v163(constB4)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33948, 22795, 33942])).
% 20.92/14.53 tff(33950,plain,
% 20.92/14.53 (~v160(constB4)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33949, 33930])).
% 20.92/14.53 tff(33951,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33952,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33953,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33952, 33951])).
% 20.92/14.53 tff(33954,plain,
% 20.92/14.53 (v160(constB4) | (~v162(constB5))),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33953, 22813, 759])).
% 20.92/14.53 tff(33955,plain,
% 20.92/14.53 (~v162(constB5)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33954, 33950])).
% 20.92/14.53 tff(33956,plain,
% 20.92/14.53 ($false),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33955, 33841])).
% 20.92/14.53 tff(33957,plain,(~(constB5 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.53 tff(33958,assumption,(constB88 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.53 tff(33959,plain,
% 20.92/14.53 (v1(constB88) <=> v1(sK0_VarCurr)),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33958])).
% 20.92/14.53 tff(33960,plain,
% 20.92/14.53 (v1(sK0_VarCurr) <=> v1(constB88)),
% 20.92/14.53 inference(symmetry,[status(thm)],[33959])).
% 20.92/14.53 tff(33961,plain,
% 20.92/14.53 ((~v1(sK0_VarCurr)) <=> (~v1(constB88))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33960])).
% 20.92/14.53 tff(33962,plain,
% 20.92/14.53 (~v1(constB88)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[23510, 33961])).
% 20.92/14.53 tff(33963,plain,
% 20.92/14.53 ($false),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[11455, 33962])).
% 20.92/14.53 tff(33964,plain,(~(constB88 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.53 tff(33965,assumption,(constB92 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.53 tff(33966,plain,
% 20.92/14.53 (v1(constB92) <=> v1(sK0_VarCurr)),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33965])).
% 20.92/14.53 tff(33967,plain,
% 20.92/14.53 (v1(sK0_VarCurr) <=> v1(constB92)),
% 20.92/14.53 inference(symmetry,[status(thm)],[33966])).
% 20.92/14.53 tff(33968,plain,
% 20.92/14.53 ((~v1(sK0_VarCurr)) <=> (~v1(constB92))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33967])).
% 20.92/14.53 tff(33969,plain,
% 20.92/14.53 (~v1(constB92)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[23510, 33968])).
% 20.92/14.53 tff(33970,plain,
% 20.92/14.53 ($false),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[12279, 33969])).
% 20.92/14.53 tff(33971,plain,(~(constB92 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.53 tff(33972,assumption,(constB199 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.53 tff(33973,plain,
% 20.92/14.53 (v162(constB199) <=> v162(sK0_VarCurr)),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33972])).
% 20.92/14.53 tff(33974,plain,
% 20.92/14.53 (v162(sK0_VarCurr) <=> v162(constB199)),
% 20.92/14.53 inference(symmetry,[status(thm)],[33973])).
% 20.92/14.53 tff(33975,plain,
% 20.92/14.53 (v162(constB199)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[22337, 33974])).
% 20.92/14.53 tff(33976,plain,
% 20.92/14.53 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB189)) | (~v124(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB189)) | (~v124(constB189, bitIndex1)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33977,plain,
% 20.92/14.53 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB189)) | (~v124(constB189, bitIndex1)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33978,plain,
% 20.92/14.53 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB189)) | (~v124(constB189, bitIndex1))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33977, 33976])).
% 20.92/14.53 tff(33979,plain,
% 20.92/14.53 (~v124(constB189, bitIndex1)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33978, 1587, 30803])).
% 20.92/14.53 tff(33980,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33981,plain,
% 20.92/14.53 ((v26(constB189) | v124(constB189, bitIndex1) | (~v121(constB189, bitIndex1))) <=> ((~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33982,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB189) | v124(constB189, bitIndex1) | (~v121(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1)))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33981])).
% 20.92/14.53 tff(33983,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB189) | v124(constB189, bitIndex1) | (~v121(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1))),
% 20.92/14.53 inference(transitivity,[status(thm)],[33982, 33980])).
% 20.92/14.53 tff(33984,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB189) | v124(constB189, bitIndex1) | (~v121(constB189, bitIndex1)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33985,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 20.92/14.53 tff(33986,plain,
% 20.92/14.53 ((~v121(constB189, bitIndex1)) | v124(constB189, bitIndex1)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33985, 483, 30819])).
% 20.92/14.53 tff(33987,plain,
% 20.92/14.53 (~v121(constB189, bitIndex1)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33986, 33979])).
% 20.92/14.53 tff(33988,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33989,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33990,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33989, 33988])).
% 20.92/14.53 tff(33991,plain,
% 20.92/14.53 (v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1))),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33990, 501, 23974])).
% 20.92/14.53 tff(33992,plain,
% 20.92/14.53 (~v123(constB190, bitIndex1)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33991, 33987])).
% 20.92/14.53 tff(33993,plain,
% 20.92/14.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190)))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33994,plain,
% 20.92/14.53 (((~v84(constB190, bitIndex1)) | (~v94(constB190)) | v123(constB190, bitIndex1)) <=> ((~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(33995,plain,
% 20.92/14.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~v94(constB190)) | v123(constB190, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190))))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[33994])).
% 20.92/14.53 tff(33996,plain,
% 20.92/14.53 (((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~v94(constB190)) | v123(constB190, bitIndex1))) <=> ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190)))),
% 20.92/14.53 inference(transitivity,[status(thm)],[33995, 33993])).
% 20.92/14.53 tff(33997,plain,
% 20.92/14.53 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~v94(constB190)) | v123(constB190, bitIndex1))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(33998,plain,
% 20.92/14.53 ((~![VarNext: $i] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[33997, 33996])).
% 20.92/14.53 tff(33999,plain,
% 20.92/14.53 ((~v84(constB190, bitIndex1)) | (~v94(constB190))),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33998, 516, 33992])).
% 20.92/14.53 tff(34000,plain,
% 20.92/14.53 (~v84(constB190, bitIndex1)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[33999, 30859])).
% 20.92/14.53 tff(34001,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34002,plain,
% 20.92/14.53 (((~nextState(constB190, constB191)) | v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1))) <=> (v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34003,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1))))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[34002])).
% 20.92/14.53 tff(34004,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1)))),
% 20.92/14.53 inference(transitivity,[status(thm)],[34003, 34001])).
% 20.92/14.53 tff(34005,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34006,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34005, 34004])).
% 20.92/14.53 tff(34007,plain,
% 20.92/14.53 (v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1))),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34006, 142, 24029])).
% 20.92/14.53 tff(34008,plain,
% 20.92/14.53 (v84(constB190, bitIndex1) | (~v84(constB191, bitIndex1))),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34007, 30893])).
% 20.92/14.53 tff(34009,plain,
% 20.92/14.53 (~v84(constB191, bitIndex1)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34008, 34000])).
% 20.92/14.53 tff(34010,plain,
% 20.92/14.53 (((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB189)) | v124(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB189)) | v124(constB189, bitIndex0))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34011,plain,
% 20.92/14.53 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB189)) | v124(constB189, bitIndex0))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34012,plain,
% 20.92/14.53 ((~![VarCurr: $i] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB189)) | v124(constB189, bitIndex0)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34011, 34010])).
% 20.92/14.53 tff(34013,plain,
% 20.92/14.53 (v124(constB189, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34012, 1631, 30803])).
% 20.92/14.53 tff(34014,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34015,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34016,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34015, 34014])).
% 20.92/14.53 tff(34017,plain,
% 20.92/14.53 ((~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34016, 557, 30819])).
% 20.92/14.53 tff(34018,plain,
% 20.92/14.53 (v121(constB189, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34017, 34013])).
% 20.92/14.53 tff(34019,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34020,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34021,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34020, 34019])).
% 20.92/14.53 tff(34022,plain,
% 20.92/14.53 ((~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34021, 572, 23974])).
% 20.92/14.53 tff(34023,plain,
% 20.92/14.53 (v123(constB190, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34022, 34018])).
% 20.92/14.53 tff(34024,plain,
% 20.92/14.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34025,plain,
% 20.92/14.53 ((v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0))) <=> (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34026,plain,
% 20.92/14.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190))))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[34025])).
% 20.92/14.53 tff(34027,plain,
% 20.92/14.53 (((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 20.92/14.53 inference(transitivity,[status(thm)],[34026, 34024])).
% 20.92/14.53 tff(34028,plain,
% 20.92/14.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34029,plain,
% 20.92/14.53 ((~![VarNext: $i] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34028, 34027])).
% 20.92/14.53 tff(34030,plain,
% 20.92/14.53 (v84(constB190, bitIndex0) | (~v94(constB190))),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34029, 587, 34023])).
% 20.92/14.53 tff(34031,plain,
% 20.92/14.53 (v84(constB190, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34030, 30859])).
% 20.92/14.53 tff(34032,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34033,plain,
% 20.92/14.53 (((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0)) <=> ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34034,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0)))),
% 20.92/14.53 inference(monotonicity,[status(thm)],[34033])).
% 20.92/14.53 tff(34035,plain,
% 20.92/14.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 20.92/14.53 inference(transitivity,[status(thm)],[34034, 34032])).
% 20.92/14.53 tff(34036,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34037,plain,
% 20.92/14.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34036, 34035])).
% 20.92/14.53 tff(34038,plain,
% 20.92/14.53 ((~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34037, 605, 24029])).
% 20.92/14.53 tff(34039,plain,
% 20.92/14.53 ((~v84(constB190, bitIndex0)) | v84(constB191, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34038, 30893])).
% 20.92/14.53 tff(34040,plain,
% 20.92/14.53 (v84(constB191, bitIndex0)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34039, 34031])).
% 20.92/14.53 tff(34041,plain,
% 20.92/14.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB191, bitIndex0)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex2)) | v118(constB191))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB191, bitIndex0)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex2)) | v118(constB191))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34042,plain,
% 20.92/14.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB191, bitIndex0)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex2)) | v118(constB191))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34043,plain,
% 20.92/14.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB191, bitIndex0)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex2)) | v118(constB191)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34042, 34041])).
% 20.92/14.53 tff(34044,plain,
% 20.92/14.53 (v118(constB191)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34043, 1672, 34040, 34009, 30902])).
% 20.92/14.53 tff(34045,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB191) | (~v118(constB191)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB191) | (~v118(constB191)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34046,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB191) | (~v118(constB191)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34047,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB191) | (~v118(constB191))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34046, 34045])).
% 20.92/14.53 tff(34048,plain,
% 20.92/14.53 (v108(constB191)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34047, 1683, 34044])).
% 20.92/14.53 tff(34049,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB191) | (~v108(constB191)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB191) | (~v108(constB191)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34050,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB191) | (~v108(constB191)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34051,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB191) | (~v108(constB191))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34050, 34049])).
% 20.92/14.53 tff(34052,plain,
% 20.92/14.53 (v107(constB191)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34051, 250, 34048])).
% 20.92/14.53 tff(34053,assumption,(v26(constB191)), introduced(assumption)).
% 20.92/14.53 tff(34054,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34055,plain,
% 20.92/14.53 ($false),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34054, 18, 34053])).
% 20.92/14.53 tff(34056,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.53 tff(34057,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB191) | (~v107(constB191)) | v106(constB191))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB191) | (~v107(constB191)) | v106(constB191))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34058,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB191) | (~v107(constB191)) | v106(constB191))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34059,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB191) | (~v107(constB191)) | v106(constB191)),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34058, 34057])).
% 20.92/14.53 tff(34060,plain,
% 20.92/14.53 ((~v107(constB191)) | v106(constB191)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34059, 264, 34056])).
% 20.92/14.53 tff(34061,plain,
% 20.92/14.53 (v106(constB191)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34060, 34052])).
% 20.92/14.53 tff(34062,plain,
% 20.92/14.53 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB191) | (~v106(constB191)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB191) | (~v106(constB191)))),
% 20.92/14.53 inference(rewrite,[status(thm)],[])).
% 20.92/14.53 tff(34063,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB191) | (~v106(constB191)))),
% 20.92/14.53 inference(quant_inst,[status(thm)],[])).
% 20.92/14.53 tff(34064,plain,
% 20.92/14.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB191) | (~v106(constB191))),
% 20.92/14.53 inference(modus_ponens,[status(thm)],[34063, 34062])).
% 20.92/14.53 tff(34065,plain,
% 20.92/14.53 (v102(constB191)),
% 20.92/14.53 inference(unit_resolution,[status(thm)],[34064, 276, 34061])).
% 20.92/14.54 tff(34066,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34067,plain,
% 20.92/14.54 (((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192)) <=> ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34068,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191))))),
% 20.92/14.54 inference(monotonicity,[status(thm)],[34067])).
% 20.92/14.54 tff(34069,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 20.92/14.54 inference(transitivity,[status(thm)],[34068, 34066])).
% 20.92/14.54 tff(34070,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34071,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34070, 34069])).
% 20.92/14.54 tff(34072,plain,
% 20.92/14.54 (v104(constB192) | (~v102(constB191))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34071, 293, 24061])).
% 20.92/14.54 tff(34073,plain,
% 20.92/14.54 (v104(constB192)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34072, 34065])).
% 20.92/14.54 tff(34074,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34075,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34076,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34075, 34074])).
% 20.92/14.54 tff(34077,plain,
% 20.92/14.54 (~v98(constB192)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34076, 311, 24061, 24069])).
% 20.92/14.54 tff(34078,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34079,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34080,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB191, constB192)) | v96(constB192) | v98(constB192)),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34079, 34078])).
% 20.92/14.54 tff(34081,plain,
% 20.92/14.54 (v96(constB192) | v98(constB192)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34080, 325, 24061])).
% 20.92/14.54 tff(34082,plain,
% 20.92/14.54 (v96(constB192)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34081, 34077])).
% 20.92/14.54 tff(34083,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34084,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34085,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34084, 34083])).
% 20.92/14.54 tff(34086,plain,
% 20.92/14.54 (v95(constB192) | (~v96(constB192))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34085, 343, 24061, 24045])).
% 20.92/14.54 tff(34087,plain,
% 20.92/14.54 (v95(constB192)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34086, 34082])).
% 20.92/14.54 tff(34088,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34089,plain,
% 20.92/14.54 (((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192)) <=> ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34090,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192))))),
% 20.92/14.54 inference(monotonicity,[status(thm)],[34089])).
% 20.92/14.54 tff(34091,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 20.92/14.54 inference(transitivity,[status(thm)],[34090, 34088])).
% 20.92/14.54 tff(34092,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34093,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 20.92/14.54 tff(34094,plain,
% 20.92/14.54 (v94(constB192) | (~v95(constB192)) | (~v104(constB192))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34093, 358, 24061])).
% 20.92/14.54 tff(34095,plain,
% 20.92/14.54 (v94(constB192) | (~v104(constB192))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34094, 34087])).
% 20.92/14.54 tff(34096,plain,
% 20.92/14.54 (v94(constB192)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34095, 34073])).
% 20.92/14.54 tff(34097,plain,
% 20.92/14.54 (((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB191)) | v124(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB191)) | v124(constB191, bitIndex1))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34098,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB191)) | v124(constB191, bitIndex1))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34099,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB191)) | v124(constB191, bitIndex1)),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34098, 34097])).
% 20.92/14.54 tff(34100,plain,
% 20.92/14.54 (v124(constB191, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34099, 1809, 34044])).
% 20.92/14.54 tff(34101,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB191) | (~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB191) | (~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34102,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB191) | (~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34103,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB191) | (~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1)),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34102, 34101])).
% 20.92/14.54 tff(34104,plain,
% 20.92/14.54 ((~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34103, 804, 34056])).
% 20.92/14.54 tff(34105,plain,
% 20.92/14.54 (v121(constB191, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34104, 34100])).
% 20.92/14.54 tff(34106,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34107,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34108,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1)),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34107, 34106])).
% 20.92/14.54 tff(34109,plain,
% 20.92/14.54 ((~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34108, 819, 24061])).
% 20.92/14.54 tff(34110,plain,
% 20.92/14.54 (v123(constB192, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34109, 34105])).
% 20.92/14.54 tff(34111,plain,
% 20.92/14.54 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34112,plain,
% 20.92/14.54 ((v84(constB192, bitIndex1) | (~v94(constB192)) | (~v123(constB192, bitIndex1))) <=> (v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34113,plain,
% 20.92/14.54 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v94(constB192)) | (~v123(constB192, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192))))),
% 20.92/14.54 inference(monotonicity,[status(thm)],[34112])).
% 20.92/14.54 tff(34114,plain,
% 20.92/14.54 (((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v94(constB192)) | (~v123(constB192, bitIndex1)))) <=> ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192)))),
% 20.92/14.54 inference(transitivity,[status(thm)],[34113, 34111])).
% 20.92/14.54 tff(34115,plain,
% 20.92/14.54 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v94(constB192)) | (~v123(constB192, bitIndex1)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34116,plain,
% 20.92/14.54 ((~![VarNext: $i] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34115, 34114])).
% 20.92/14.54 tff(34117,plain,
% 20.92/14.54 (v84(constB192, bitIndex1) | (~v94(constB192))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34116, 834, 34110])).
% 20.92/14.54 tff(34118,plain,
% 20.92/14.54 (v84(constB192, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34117, 34096])).
% 20.92/14.54 tff(34119,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34120,plain,
% 20.92/14.54 (((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34121,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193))))),
% 20.92/14.54 inference(monotonicity,[status(thm)],[34120])).
% 20.92/14.54 tff(34122,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 20.92/14.54 inference(transitivity,[status(thm)],[34121, 34119])).
% 20.92/14.54 tff(34123,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34124,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34123, 34122])).
% 20.92/14.54 tff(34125,plain,
% 20.92/14.54 (~v95(constB193)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34124, 89, 24116, 24156])).
% 20.92/14.54 tff(34126,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34127,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34128,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34127, 34126])).
% 20.92/14.54 tff(34129,plain,
% 20.92/14.54 (v95(constB193) | (~v94(constB193))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34128, 106, 24116])).
% 20.92/14.54 tff(34130,plain,
% 20.92/14.54 (~v94(constB193)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34129, 34125])).
% 20.92/14.54 tff(34131,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34132,plain,
% 20.92/14.54 (((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1)) <=> ((~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34133,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1)))),
% 20.92/14.54 inference(monotonicity,[status(thm)],[34132])).
% 20.92/14.54 tff(34134,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1))),
% 20.92/14.54 inference(transitivity,[status(thm)],[34133, 34131])).
% 20.92/14.54 tff(34135,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34136,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1)),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34135, 34134])).
% 20.92/14.54 tff(34137,plain,
% 20.92/14.54 ((~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34136, 852, 24116])).
% 20.92/14.54 tff(34138,plain,
% 20.92/14.54 ((~v84(constB192, bitIndex1)) | v84(constB193, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34137, 34130])).
% 20.92/14.54 tff(34139,plain,
% 20.92/14.54 (v84(constB193, bitIndex1)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34138, 34118])).
% 20.92/14.54 tff(34140,plain,
% 20.92/14.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB193, bitIndex1)) | (~v145(constB193)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB193, bitIndex1)) | (~v145(constB193)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34141,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB193, bitIndex1)) | (~v145(constB193)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34142,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB193, bitIndex1)) | (~v145(constB193))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34141, 34140])).
% 20.92/14.54 tff(34143,plain,
% 20.92/14.54 (~v145(constB193)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34142, 2012, 34139])).
% 20.92/14.54 tff(34144,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB193) | (~v144(constB193)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB193) | (~v144(constB193)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34145,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB193) | (~v144(constB193)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34146,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB193) | (~v144(constB193))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34145, 34144])).
% 20.92/14.54 tff(34147,plain,
% 20.92/14.54 (~v144(constB193)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34146, 22349, 34143])).
% 20.92/14.54 tff(34148,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB193) | (~v142(constB193)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34149,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB193) | (~v142(constB193)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34150,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB193) | (~v142(constB193))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34149, 34148])).
% 20.92/14.54 tff(34151,plain,
% 20.92/14.54 (~v142(constB193)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34150, 22360, 34147])).
% 20.92/14.54 tff(34152,plain,
% 20.92/14.54 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB193)) | (~v138(constB193)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB193)) | (~v138(constB193)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34153,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB193)) | (~v138(constB193)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34154,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB193)) | (~v138(constB193))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34153, 34152])).
% 20.92/14.54 tff(34155,plain,
% 20.92/14.54 (~v138(constB193)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34154, 22419, 24165])).
% 20.92/14.54 tff(34156,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB193) | v142(constB193) | (~v135(constB193)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB193) | v142(constB193) | (~v135(constB193)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34157,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB193) | v142(constB193) | (~v135(constB193)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34158,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB193) | v142(constB193) | (~v135(constB193))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34157, 34156])).
% 20.92/14.54 tff(34159,plain,
% 20.92/14.54 (v142(constB193) | (~v135(constB193))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34158, 22436, 34155])).
% 20.92/14.54 tff(34160,plain,
% 20.92/14.54 (~v135(constB193)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34159, 34151])).
% 20.92/14.54 tff(34161,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34162,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34163,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34162, 34161])).
% 20.92/14.54 tff(34164,plain,
% 20.92/14.54 (v135(constB193) | (~v137(constB194))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34163, 22451, 24148])).
% 20.92/14.54 tff(34165,plain,
% 20.92/14.54 (~v137(constB194)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34164, 34160])).
% 20.92/14.54 tff(34166,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB194) | (~v138(constB194)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB194) | (~v138(constB194)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34167,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB194) | (~v138(constB194)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34168,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB194) | (~v138(constB194))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34167, 34166])).
% 20.92/14.54 tff(34169,plain,
% 20.92/14.54 (~v138(constB194)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34168, 22463, 34165])).
% 20.92/14.54 tff(34170,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB194) | (~v144(constB194)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB194) | (~v144(constB194)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34171,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB194) | (~v144(constB194)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34172,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB194) | (~v144(constB194))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34171, 34170])).
% 20.92/14.54 tff(34173,plain,
% 20.92/14.54 (~v144(constB194)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34172, 22485, 24190])).
% 20.92/14.54 tff(34174,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB194) | (~v142(constB194)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB194) | (~v142(constB194)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34175,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB194) | (~v142(constB194)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34176,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB194) | (~v142(constB194))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34175, 34174])).
% 20.92/14.54 tff(34177,plain,
% 20.92/14.54 (~v142(constB194)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34176, 22360, 34173])).
% 20.92/14.54 tff(34178,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB194) | v142(constB194) | (~v135(constB194)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB194) | v142(constB194) | (~v135(constB194)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34179,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB194) | v142(constB194) | (~v135(constB194)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34180,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB194) | v142(constB194) | (~v135(constB194))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 20.92/14.54 tff(34181,plain,
% 20.92/14.54 (v138(constB194) | (~v135(constB194))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34180, 22436, 34177])).
% 20.92/14.54 tff(34182,plain,
% 20.92/14.54 (~v135(constB194)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34181, 34169])).
% 20.92/14.54 tff(34183,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34184,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34185,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34184, 34183])).
% 20.92/14.54 tff(34186,plain,
% 20.92/14.54 (v135(constB194) | (~v137(constB195))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34185, 22451, 24209])).
% 20.92/14.54 tff(34187,plain,
% 20.92/14.54 (~v137(constB195)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34186, 34182])).
% 20.92/14.54 tff(34188,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB195) | (~v153(constB195)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB195) | (~v153(constB195)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34189,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB195) | (~v153(constB195)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34190,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB195) | (~v153(constB195))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34189, 34188])).
% 20.92/14.54 tff(34191,plain,
% 20.92/14.54 (~v153(constB195)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34190, 22510, 34187])).
% 20.92/14.54 tff(34192,plain,
% 20.92/14.54 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB195)) | (~v155(constB195)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB195)) | (~v155(constB195)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34193,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB195)) | (~v155(constB195)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34194,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB195)) | (~v155(constB195))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34193, 34192])).
% 20.92/14.54 tff(34195,plain,
% 20.92/14.54 (~v155(constB195)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34194, 22552, 31033])).
% 20.92/14.54 tff(34196,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB195) | v155(constB195) | (~v150(constB195)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB195) | v155(constB195) | (~v150(constB195)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34197,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB195) | v155(constB195) | (~v150(constB195)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34198,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB195) | v155(constB195) | (~v150(constB195))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34197, 34196])).
% 20.92/14.54 tff(34199,plain,
% 20.92/14.54 (v153(constB195) | (~v150(constB195))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34198, 22566, 34195])).
% 20.92/14.54 tff(34200,plain,
% 20.92/14.54 (~v150(constB195)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34199, 34191])).
% 20.92/14.54 tff(34201,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34202,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34203,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34202, 34201])).
% 20.92/14.54 tff(34204,plain,
% 20.92/14.54 (v150(constB195) | (~v152(constB196))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34203, 22581, 31016])).
% 20.92/14.54 tff(34205,plain,
% 20.92/14.54 (~v152(constB196)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34204, 34200])).
% 20.92/14.54 tff(34206,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB196) | (~v155(constB196)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB196) | (~v155(constB196)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34207,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB196) | (~v155(constB196)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34208,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB196) | (~v155(constB196))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34207, 34206])).
% 20.92/14.54 tff(34209,plain,
% 20.92/14.54 (~v155(constB196)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34208, 22593, 34205])).
% 20.92/14.54 tff(34210,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB196) | (~v153(constB196)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB196) | (~v153(constB196)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34211,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB196) | (~v153(constB196)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34212,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB196) | (~v153(constB196))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34211, 34210])).
% 20.92/14.54 tff(34213,plain,
% 20.92/14.54 (~v153(constB196)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34212, 22619, 31062])).
% 20.92/14.54 tff(34214,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB196) | v155(constB196) | (~v150(constB196)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB196) | v155(constB196) | (~v150(constB196)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34215,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB196) | v155(constB196) | (~v150(constB196)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34216,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB196) | v155(constB196) | (~v150(constB196))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34215, 34214])).
% 20.92/14.54 tff(34217,plain,
% 20.92/14.54 (v155(constB196) | (~v150(constB196))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34216, 22566, 34213])).
% 20.92/14.54 tff(34218,plain,
% 20.92/14.54 (~v150(constB196)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34217, 34209])).
% 20.92/14.54 tff(34219,plain,
% 20.92/14.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34220,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34221,plain,
% 20.92/14.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34220, 34219])).
% 20.92/14.54 tff(34222,plain,
% 20.92/14.54 (v150(constB196) | (~v152(constB197))),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34221, 22581, 31077])).
% 20.92/14.54 tff(34223,plain,
% 20.92/14.54 (~v152(constB197)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34222, 34218])).
% 20.92/14.54 tff(34224,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB197) | (~v164(constB197)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB197) | (~v164(constB197)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34225,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB197) | (~v164(constB197)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34226,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB197) | (~v164(constB197))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34225, 34224])).
% 20.92/14.54 tff(34227,plain,
% 20.92/14.54 (~v164(constB197)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34226, 22640, 34223])).
% 20.92/14.54 tff(34228,assumption,(v18(constB198)), introduced(assumption)).
% 20.92/14.54 tff(34229,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB198))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34230,plain,
% 20.92/14.54 ($false),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34229, 2627, 34228])).
% 20.92/14.54 tff(34231,plain,(~v18(constB198)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.54 tff(34232,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198)))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34233,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34234,plain,
% 20.92/14.54 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198))),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34233, 34232])).
% 20.92/14.54 tff(34235,plain,
% 20.92/14.54 (v22(constB198)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34234, 2640, 30463])).
% 20.92/14.54 tff(34236,plain,
% 20.92/14.54 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB198)) | (~v22(constB198)) | v18(constB198))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB198)) | (~v22(constB198)) | v18(constB198))),
% 20.92/14.54 inference(rewrite,[status(thm)],[])).
% 20.92/14.54 tff(34237,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB198)) | (~v22(constB198)) | v18(constB198))),
% 20.92/14.54 inference(quant_inst,[status(thm)],[])).
% 20.92/14.54 tff(34238,plain,
% 20.92/14.54 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB198)) | (~v22(constB198)) | v18(constB198)),
% 20.92/14.54 inference(modus_ponens,[status(thm)],[34237, 34236])).
% 20.92/14.54 tff(34239,plain,
% 20.92/14.54 ((~v19(constB198)) | v18(constB198)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34238, 2654, 34235])).
% 20.92/14.54 tff(34240,plain,
% 20.92/14.54 (~v19(constB198)),
% 20.92/14.54 inference(unit_resolution,[status(thm)],[34239, 34231])).
% 20.92/14.54 tff(34241,plain,
% 20.92/14.54 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34242,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34243,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34242, 34241])).
% 20.92/14.55 tff(34244,plain,
% 20.92/14.55 (v13(constB198)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34243, 2669, 34240])).
% 20.92/14.55 tff(34245,plain,
% 20.92/14.55 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34246,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 20.92/14.55 tff(34247,plain,
% 20.92/14.55 (nextState(constB197, constB198)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34246, 34245])).
% 20.92/14.55 tff(34248,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34249,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34250,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB197, constB198)) | (~v13(constB198)) | v9(constB197)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34249, 34248])).
% 20.92/14.55 tff(34251,plain,
% 20.92/14.55 ((~v13(constB198)) | v9(constB197)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34250, 2686, 34247])).
% 20.92/14.55 tff(34252,plain,
% 20.92/14.55 (v9(constB197)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34251, 34244])).
% 20.92/14.55 tff(34253,plain,
% 20.92/14.55 ((~v1(constB197)) <=> (~v1(constB197))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34254,axiom,(~v1(constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 20.92/14.55 tff(34255,plain,
% 20.92/14.55 (~v1(constB197)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34254, 34253])).
% 20.92/14.55 tff(34256,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v141(constB197))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB197) | (~v9(constB197)) | v141(constB197))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34257,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v141(constB197))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34258,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB197) | (~v9(constB197)) | v141(constB197)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34257, 34256])).
% 20.92/14.55 tff(34259,plain,
% 20.92/14.55 ((~v9(constB197)) | v141(constB197)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34258, 22396, 34255])).
% 20.92/14.55 tff(34260,plain,
% 20.92/14.55 (v141(constB197)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34259, 34252])).
% 20.92/14.55 tff(34261,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB197) | (~v141(constB197)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB197) | (~v141(constB197)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34262,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB197) | (~v141(constB197)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34263,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB197) | (~v141(constB197))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34262, 34261])).
% 20.92/14.55 tff(34264,plain,
% 20.92/14.55 (v140(constB197)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34263, 22408, 34260])).
% 20.92/14.55 tff(34265,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB197)) | (~v163(constB197)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB197)) | (~v163(constB197)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34266,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB197)) | (~v163(constB197)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34267,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB197)) | (~v163(constB197))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34266, 34265])).
% 20.92/14.55 tff(34268,plain,
% 20.92/14.55 (~v163(constB197)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34267, 22781, 34264])).
% 20.92/14.55 tff(34269,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB197)) | v164(constB197) | v163(constB197))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB197)) | v164(constB197) | v163(constB197))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34270,plain,
% 20.92/14.55 ((v164(constB197) | v163(constB197) | (~v160(constB197))) <=> ((~v160(constB197)) | v164(constB197) | v163(constB197))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34271,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB197) | v163(constB197) | (~v160(constB197)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB197)) | v164(constB197) | v163(constB197)))),
% 20.92/14.55 inference(monotonicity,[status(thm)],[34270])).
% 20.92/14.55 tff(34272,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB197) | v163(constB197) | (~v160(constB197)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB197)) | v164(constB197) | v163(constB197))),
% 20.92/14.55 inference(transitivity,[status(thm)],[34271, 34269])).
% 20.92/14.55 tff(34273,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB197) | v163(constB197) | (~v160(constB197)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34274,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB197)) | v164(constB197) | v163(constB197)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34273, 34272])).
% 20.92/14.55 tff(34275,plain,
% 20.92/14.55 ((~v160(constB197)) | v164(constB197)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34274, 22795, 34268])).
% 20.92/14.55 tff(34276,plain,
% 20.92/14.55 (~v160(constB197)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34275, 34227])).
% 20.92/14.55 tff(34277,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34278,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34279,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34278, 34277])).
% 20.92/14.55 tff(34280,plain,
% 20.92/14.55 (v160(constB197) | (~v162(constB198))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34279, 22813, 34247])).
% 20.92/14.55 tff(34281,plain,
% 20.92/14.55 (~v162(constB198)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34280, 34276])).
% 20.92/14.55 tff(34282,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB198) | (~v163(constB198)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB198) | (~v163(constB198)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34283,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB198) | (~v163(constB198)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34284,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB198) | (~v163(constB198))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34283, 34282])).
% 20.92/14.55 tff(34285,plain,
% 20.92/14.55 (~v163(constB198)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34284, 22825, 34281])).
% 20.92/14.55 tff(34286,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB198)) | (~v141(constB198)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB198)) | (~v141(constB198)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34287,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB198)) | (~v141(constB198)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34288,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB198)) | (~v141(constB198))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34287, 34286])).
% 20.92/14.55 tff(34289,plain,
% 20.92/14.55 (~v141(constB198)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34288, 22474, 30463])).
% 20.92/14.55 tff(34290,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB198) | (~v154(constB198)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB198) | (~v154(constB198)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34291,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB198) | (~v154(constB198)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34292,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB198) | (~v154(constB198))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34291, 34290])).
% 20.92/14.55 tff(34293,plain,
% 20.92/14.55 (~v154(constB198)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34292, 22608, 34289])).
% 20.92/14.55 tff(34294,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB198) | (~v164(constB198)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB198) | (~v164(constB198)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34295,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB198) | (~v164(constB198)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34296,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB198) | (~v164(constB198))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34295, 34294])).
% 20.92/14.55 tff(34297,plain,
% 20.92/14.55 (~v164(constB198)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34296, 22836, 34293])).
% 20.92/14.55 tff(34298,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB198)) | v164(constB198) | v163(constB198))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB198)) | v164(constB198) | v163(constB198))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34299,plain,
% 20.92/14.55 ((v164(constB198) | v163(constB198) | (~v160(constB198))) <=> ((~v160(constB198)) | v164(constB198) | v163(constB198))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34300,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB198) | v163(constB198) | (~v160(constB198)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB198)) | v164(constB198) | v163(constB198)))),
% 20.92/14.55 inference(monotonicity,[status(thm)],[34299])).
% 20.92/14.55 tff(34301,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB198) | v163(constB198) | (~v160(constB198)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB198)) | v164(constB198) | v163(constB198))),
% 20.92/14.55 inference(transitivity,[status(thm)],[34300, 34298])).
% 20.92/14.55 tff(34302,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB198) | v163(constB198) | (~v160(constB198)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34303,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB198)) | v164(constB198) | v163(constB198)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34302, 34301])).
% 20.92/14.55 tff(34304,plain,
% 20.92/14.55 ((~v160(constB198)) | v163(constB198)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34303, 22795, 34297])).
% 20.92/14.55 tff(34305,plain,
% 20.92/14.55 (~v160(constB198)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34304, 34285])).
% 20.92/14.55 tff(34306,plain,
% 20.92/14.55 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34307,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 20.92/14.55 tff(34308,plain,
% 20.92/14.55 (nextState(constB198, constB199)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34307, 34306])).
% 20.92/14.55 tff(34309,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34310,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34311,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34310, 34309])).
% 20.92/14.55 tff(34312,plain,
% 20.92/14.55 (v160(constB198) | (~v162(constB199))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34311, 22813, 34308])).
% 20.92/14.55 tff(34313,plain,
% 20.92/14.55 (~v162(constB199)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34312, 34305])).
% 20.92/14.55 tff(34314,plain,
% 20.92/14.55 ($false),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34313, 33975])).
% 20.92/14.55 tff(34315,plain,(~(constB199 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.55 tff(34316,assumption,(constB173 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.55 tff(34317,plain,
% 20.92/14.55 (v162(constB173) <=> v162(sK0_VarCurr)),
% 20.92/14.55 inference(monotonicity,[status(thm)],[34316])).
% 20.92/14.55 tff(34318,plain,
% 20.92/14.55 (v162(sK0_VarCurr) <=> v162(constB173)),
% 20.92/14.55 inference(symmetry,[status(thm)],[34317])).
% 20.92/14.55 tff(34319,plain,
% 20.92/14.55 (v162(constB173)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[22337, 34318])).
% 20.92/14.55 tff(34320,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB167, bitIndex2)) | (~v145(constB167)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB167, bitIndex2)) | (~v145(constB167)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34321,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB167, bitIndex2)) | (~v145(constB167)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34322,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB167, bitIndex2)) | (~v145(constB167))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34321, 34320])).
% 20.92/14.55 tff(34323,plain,
% 20.92/14.55 (~v145(constB167)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34322, 10327, 20042])).
% 20.92/14.55 tff(34324,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB167) | (~v144(constB167)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB167) | (~v144(constB167)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34325,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB167) | (~v144(constB167)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34326,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB167) | (~v144(constB167))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34325, 34324])).
% 20.92/14.55 tff(34327,plain,
% 20.92/14.55 (~v144(constB167)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34326, 22349, 34323])).
% 20.92/14.55 tff(34328,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB167) | (~v142(constB167)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB167) | (~v142(constB167)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34329,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB167) | (~v142(constB167)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34330,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB167) | (~v142(constB167))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34329, 34328])).
% 20.92/14.55 tff(34331,plain,
% 20.92/14.55 (~v142(constB167)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34330, 22360, 34327])).
% 20.92/14.55 tff(34332,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB167)) | (~v140(constB167)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB167)) | (~v140(constB167)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34333,plain,
% 20.92/14.55 (((~v140(constB167)) | (~v138(constB167))) <=> ((~v138(constB167)) | (~v140(constB167)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34334,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB167)) | (~v138(constB167)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB167)) | (~v140(constB167))))),
% 20.92/14.55 inference(monotonicity,[status(thm)],[34333])).
% 20.92/14.55 tff(34335,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB167)) | (~v138(constB167)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB167)) | (~v140(constB167)))),
% 20.92/14.55 inference(transitivity,[status(thm)],[34334, 34332])).
% 20.92/14.55 tff(34336,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB167)) | (~v138(constB167)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34337,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB167)) | (~v140(constB167))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34336, 34335])).
% 20.92/14.55 tff(34338,plain,
% 20.92/14.55 (~v138(constB167)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34337, 22419, 27432])).
% 20.92/14.55 tff(34339,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB167) | v142(constB167) | (~v135(constB167)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB167) | v142(constB167) | (~v135(constB167)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34340,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB167) | v142(constB167) | (~v135(constB167)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34341,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB167) | v142(constB167) | (~v135(constB167))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34340, 34339])).
% 20.92/14.55 tff(34342,plain,
% 20.92/14.55 (v142(constB167) | (~v135(constB167))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34341, 22436, 34338])).
% 20.92/14.55 tff(34343,plain,
% 20.92/14.55 (~v135(constB167)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34342, 34331])).
% 20.92/14.55 tff(34344,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB167, constB168)) | v135(constB167) | (~v137(constB168)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB167, constB168)) | v135(constB167) | (~v137(constB168)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34345,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB167, constB168)) | v135(constB167) | (~v137(constB168)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34346,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB167, constB168)) | v135(constB167) | (~v137(constB168))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34345, 34344])).
% 20.92/14.55 tff(34347,plain,
% 20.92/14.55 (v135(constB167) | (~v137(constB168))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34346, 22451, 20138])).
% 20.92/14.55 tff(34348,plain,
% 20.92/14.55 (~v137(constB168)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34347, 34343])).
% 20.92/14.55 tff(34349,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB168) | (~v138(constB168)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB168) | (~v138(constB168)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34350,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB168) | (~v138(constB168)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34351,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB168) | (~v138(constB168))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34350, 34349])).
% 20.92/14.55 tff(34352,plain,
% 20.92/14.55 (~v138(constB168)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34351, 22463, 34348])).
% 20.92/14.55 tff(34353,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB168) | (~v144(constB168)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB168) | (~v144(constB168)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34354,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB168) | (~v144(constB168)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34355,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB168) | (~v144(constB168))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34354, 34353])).
% 20.92/14.55 tff(34356,plain,
% 20.92/14.55 (~v144(constB168)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34355, 22485, 27457])).
% 20.92/14.55 tff(34357,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB168) | (~v142(constB168)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB168) | (~v142(constB168)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34358,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB168) | (~v142(constB168)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34359,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB168) | (~v142(constB168))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34358, 34357])).
% 20.92/14.55 tff(34360,plain,
% 20.92/14.55 (~v142(constB168)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34359, 22360, 34356])).
% 20.92/14.55 tff(34361,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB168) | v142(constB168) | (~v135(constB168)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB168) | v142(constB168) | (~v135(constB168)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34362,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB168) | v142(constB168) | (~v135(constB168)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34363,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB168) | v142(constB168) | (~v135(constB168))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34362, 34361])).
% 20.92/14.55 tff(34364,plain,
% 20.92/14.55 (v138(constB168) | (~v135(constB168))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34363, 22436, 34360])).
% 20.92/14.55 tff(34365,plain,
% 20.92/14.55 (~v135(constB168)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34364, 34352])).
% 20.92/14.55 tff(34366,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB168, constB169)) | v135(constB168) | (~v137(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB168, constB169)) | v135(constB168) | (~v137(constB169)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34367,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB168, constB169)) | v135(constB168) | (~v137(constB169)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34368,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB168, constB169)) | v135(constB168) | (~v137(constB169))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34367, 34366])).
% 20.92/14.55 tff(34369,plain,
% 20.92/14.55 (v135(constB168) | (~v137(constB169))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34368, 22451, 20200])).
% 20.92/14.55 tff(34370,plain,
% 20.92/14.55 (~v137(constB169)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34369, 34365])).
% 20.92/14.55 tff(34371,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB169) | (~v153(constB169)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB169) | (~v153(constB169)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34372,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB169) | (~v153(constB169)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34373,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB169) | (~v153(constB169))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34372, 34371])).
% 20.92/14.55 tff(34374,plain,
% 20.92/14.55 (~v153(constB169)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34373, 22510, 34370])).
% 20.92/14.55 tff(34375,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB169)) | (~v155(constB169)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB169)) | (~v155(constB169)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34376,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB169)) | (~v155(constB169)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34377,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB169)) | (~v155(constB169))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34376, 34375])).
% 20.92/14.55 tff(34378,plain,
% 20.92/14.55 (~v155(constB169)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34377, 22552, 28038])).
% 20.92/14.55 tff(34379,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB169) | v155(constB169) | (~v150(constB169)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB169) | v155(constB169) | (~v150(constB169)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34380,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB169) | v155(constB169) | (~v150(constB169)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34381,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB169) | v155(constB169) | (~v150(constB169))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34380, 34379])).
% 20.92/14.55 tff(34382,plain,
% 20.92/14.55 (v153(constB169) | (~v150(constB169))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34381, 22566, 34378])).
% 20.92/14.55 tff(34383,plain,
% 20.92/14.55 (~v150(constB169)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34382, 34374])).
% 20.92/14.55 tff(34384,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB169, constB170)) | v150(constB169) | (~v152(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB169, constB170)) | v150(constB169) | (~v152(constB170)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34385,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB169, constB170)) | v150(constB169) | (~v152(constB170)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34386,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB169, constB170)) | v150(constB169) | (~v152(constB170))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 20.92/14.55 tff(34387,plain,
% 20.92/14.55 (v150(constB169) | (~v152(constB170))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34386, 22581, 20298])).
% 20.92/14.55 tff(34388,plain,
% 20.92/14.55 (~v152(constB170)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34387, 34383])).
% 20.92/14.55 tff(34389,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB170) | (~v155(constB170)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB170) | (~v155(constB170)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34390,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB170) | (~v155(constB170)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34391,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB170) | (~v155(constB170))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34390, 34389])).
% 20.92/14.55 tff(34392,plain,
% 20.92/14.55 (~v155(constB170)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34391, 22593, 34388])).
% 20.92/14.55 tff(34393,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB170) | (~v153(constB170)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB170) | (~v153(constB170)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34394,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB170) | (~v153(constB170)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34395,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB170) | (~v153(constB170))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34394, 34393])).
% 20.92/14.55 tff(34396,plain,
% 20.92/14.55 (~v153(constB170)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34395, 22619, 28067])).
% 20.92/14.55 tff(34397,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB170) | v155(constB170) | (~v150(constB170)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB170) | v155(constB170) | (~v150(constB170)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34398,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB170) | v155(constB170) | (~v150(constB170)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34399,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB170) | v155(constB170) | (~v150(constB170))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34398, 34397])).
% 20.92/14.55 tff(34400,plain,
% 20.92/14.55 (v155(constB170) | (~v150(constB170))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34399, 22566, 34396])).
% 20.92/14.55 tff(34401,plain,
% 20.92/14.55 (~v150(constB170)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34400, 34392])).
% 20.92/14.55 tff(34402,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB170, constB171)) | v150(constB170) | (~v152(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB170, constB171)) | v150(constB170) | (~v152(constB171)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34403,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB170, constB171)) | v150(constB170) | (~v152(constB171)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34404,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB170, constB171)) | v150(constB170) | (~v152(constB171))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34403, 34402])).
% 20.92/14.55 tff(34405,plain,
% 20.92/14.55 (v150(constB170) | (~v152(constB171))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34404, 22581, 20409])).
% 20.92/14.55 tff(34406,plain,
% 20.92/14.55 (~v152(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34405, 34401])).
% 20.92/14.55 tff(34407,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB171) | (~v164(constB171)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB171) | (~v164(constB171)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34408,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB171) | (~v164(constB171)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34409,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB171) | (~v164(constB171))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 20.92/14.55 tff(34410,plain,
% 20.92/14.55 (~v164(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34409, 22640, 34406])).
% 20.92/14.55 tff(34411,assumption,(v18(constB172)), introduced(assumption)).
% 20.92/14.55 tff(34412,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB172))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34413,plain,
% 20.92/14.55 ($false),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34412, 2627, 34411])).
% 20.92/14.55 tff(34414,plain,(~v18(constB172)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.55 tff(34415,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34416,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34417,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34416, 34415])).
% 20.92/14.55 tff(34418,plain,
% 20.92/14.55 (v22(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34417, 2640, 20563])).
% 20.92/14.55 tff(34419,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB172)) | (~v22(constB172)) | v18(constB172))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB172)) | (~v22(constB172)) | v18(constB172))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34420,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB172)) | (~v22(constB172)) | v18(constB172))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34421,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB172)) | (~v22(constB172)) | v18(constB172)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34420, 34419])).
% 20.92/14.55 tff(34422,plain,
% 20.92/14.55 ((~v19(constB172)) | v18(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34421, 2654, 34418])).
% 20.92/14.55 tff(34423,plain,
% 20.92/14.55 (~v19(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34422, 34414])).
% 20.92/14.55 tff(34424,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34425,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34426,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34425, 34424])).
% 20.92/14.55 tff(34427,plain,
% 20.92/14.55 (v13(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34426, 2669, 34423])).
% 20.92/14.55 tff(34428,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34429,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34430,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB171, constB172)) | (~v13(constB172)) | v9(constB171)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34429, 34428])).
% 20.92/14.55 tff(34431,plain,
% 20.92/14.55 ((~v13(constB172)) | v9(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34430, 2686, 20543])).
% 20.92/14.55 tff(34432,plain,
% 20.92/14.55 (v9(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34431, 34427])).
% 20.92/14.55 tff(34433,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v141(constB171))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB171) | (~v9(constB171)) | v141(constB171))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34434,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v141(constB171))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34435,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB171) | (~v9(constB171)) | v141(constB171)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34434, 34433])).
% 20.92/14.55 tff(34436,plain,
% 20.92/14.55 ((~v9(constB171)) | v141(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34435, 22396, 20406])).
% 20.92/14.55 tff(34437,plain,
% 20.92/14.55 (v141(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34436, 34432])).
% 20.92/14.55 tff(34438,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB171) | (~v141(constB171)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB171) | (~v141(constB171)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34439,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB171) | (~v141(constB171)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34440,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB171) | (~v141(constB171))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34439, 34438])).
% 20.92/14.55 tff(34441,plain,
% 20.92/14.55 (v140(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34440, 22408, 34437])).
% 20.92/14.55 tff(34442,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB171)) | (~v163(constB171)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB171)) | (~v163(constB171)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34443,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB171)) | (~v163(constB171)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34444,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB171)) | (~v163(constB171))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34443, 34442])).
% 20.92/14.55 tff(34445,plain,
% 20.92/14.55 (~v163(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34444, 22781, 34441])).
% 20.92/14.55 tff(34446,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB171)) | v163(constB171) | v164(constB171))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB171)) | v163(constB171) | v164(constB171))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34447,plain,
% 20.92/14.55 ((v164(constB171) | v163(constB171) | (~v160(constB171))) <=> ((~v160(constB171)) | v163(constB171) | v164(constB171))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34448,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB171) | v163(constB171) | (~v160(constB171)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB171)) | v163(constB171) | v164(constB171)))),
% 20.92/14.55 inference(monotonicity,[status(thm)],[34447])).
% 20.92/14.55 tff(34449,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB171) | v163(constB171) | (~v160(constB171)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB171)) | v163(constB171) | v164(constB171))),
% 20.92/14.55 inference(transitivity,[status(thm)],[34448, 34446])).
% 20.92/14.55 tff(34450,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB171) | v163(constB171) | (~v160(constB171)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34451,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB171)) | v163(constB171) | v164(constB171)),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34450, 34449])).
% 20.92/14.55 tff(34452,plain,
% 20.92/14.55 ((~v160(constB171)) | v164(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34451, 22795, 34445])).
% 20.92/14.55 tff(34453,plain,
% 20.92/14.55 (~v160(constB171)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34452, 34410])).
% 20.92/14.55 tff(34454,plain,
% 20.92/14.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB171, constB172)) | v160(constB171) | (~v162(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB171, constB172)) | v160(constB171) | (~v162(constB172)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34455,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB171, constB172)) | v160(constB171) | (~v162(constB172)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34456,plain,
% 20.92/14.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB171, constB172)) | v160(constB171) | (~v162(constB172))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34455, 34454])).
% 20.92/14.55 tff(34457,plain,
% 20.92/14.55 (v160(constB171) | (~v162(constB172))),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34456, 22813, 20543])).
% 20.92/14.55 tff(34458,plain,
% 20.92/14.55 (~v162(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34457, 34453])).
% 20.92/14.55 tff(34459,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB172) | (~v163(constB172)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB172) | (~v163(constB172)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34460,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB172) | (~v163(constB172)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34461,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB172) | (~v163(constB172))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34460, 34459])).
% 20.92/14.55 tff(34462,plain,
% 20.92/14.55 (~v163(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34461, 22825, 34458])).
% 20.92/14.55 tff(34463,plain,
% 20.92/14.55 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB172)) | (~v141(constB172)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB172)) | (~v141(constB172)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34464,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB172)) | (~v141(constB172)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34465,plain,
% 20.92/14.55 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB172)) | (~v141(constB172))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34464, 34463])).
% 20.92/14.55 tff(34466,plain,
% 20.92/14.55 (~v141(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34465, 22474, 20563])).
% 20.92/14.55 tff(34467,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB172) | (~v154(constB172)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB172) | (~v154(constB172)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34468,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB172) | (~v154(constB172)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34469,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB172) | (~v154(constB172))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34468, 34467])).
% 20.92/14.55 tff(34470,plain,
% 20.92/14.55 (~v154(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34469, 22608, 34466])).
% 20.92/14.55 tff(34471,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB172) | (~v164(constB172)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB172) | (~v164(constB172)))),
% 20.92/14.55 inference(rewrite,[status(thm)],[])).
% 20.92/14.55 tff(34472,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB172) | (~v164(constB172)))),
% 20.92/14.55 inference(quant_inst,[status(thm)],[])).
% 20.92/14.55 tff(34473,plain,
% 20.92/14.55 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB172) | (~v164(constB172))),
% 20.92/14.55 inference(modus_ponens,[status(thm)],[34472, 34471])).
% 20.92/14.55 tff(34474,plain,
% 20.92/14.55 (~v164(constB172)),
% 20.92/14.55 inference(unit_resolution,[status(thm)],[34473, 22836, 34470])).
% 20.92/14.55 tff(34475,plain,
% 20.92/14.55 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB172)) | v164(constB172) | v163(constB172))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB172)) | v164(constB172) | v163(constB172))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34476,plain,
% 20.92/14.56 ((v164(constB172) | v163(constB172) | (~v160(constB172))) <=> ((~v160(constB172)) | v164(constB172) | v163(constB172))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34477,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB172) | v163(constB172) | (~v160(constB172)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB172)) | v164(constB172) | v163(constB172)))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34476])).
% 20.92/14.56 tff(34478,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB172) | v163(constB172) | (~v160(constB172)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB172)) | v164(constB172) | v163(constB172))),
% 20.92/14.56 inference(transitivity,[status(thm)],[34477, 34475])).
% 20.92/14.56 tff(34479,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB172) | v163(constB172) | (~v160(constB172)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34480,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB172)) | v164(constB172) | v163(constB172)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34479, 34478])).
% 20.92/14.56 tff(34481,plain,
% 20.92/14.56 ((~v160(constB172)) | v163(constB172)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34480, 22795, 34474])).
% 20.92/14.56 tff(34482,plain,
% 20.92/14.56 (~v160(constB172)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34481, 34462])).
% 20.92/14.56 tff(34483,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB172, constB173)) | v160(constB172) | (~v162(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB172, constB173)) | v160(constB172) | (~v162(constB173)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34484,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB172, constB173)) | v160(constB172) | (~v162(constB173)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34485,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB172, constB173)) | v160(constB172) | (~v162(constB173))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34484, 34483])).
% 20.92/14.56 tff(34486,plain,
% 20.92/14.56 (v160(constB172) | (~v162(constB173))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34485, 22813, 20608])).
% 20.92/14.56 tff(34487,plain,
% 20.92/14.56 (~v162(constB173)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34486, 34482])).
% 20.92/14.56 tff(34488,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34487, 34319])).
% 20.92/14.56 tff(34489,plain,(~(constB173 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34490,assumption,(constB34 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34491,plain,
% 20.92/14.56 (v1(constB34) <=> v1(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34490])).
% 20.92/14.56 tff(34492,plain,
% 20.92/14.56 (v1(sK0_VarCurr) <=> v1(constB34)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34491])).
% 20.92/14.56 tff(34493,plain,
% 20.92/14.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB34))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34492])).
% 20.92/14.56 tff(34494,plain,
% 20.92/14.56 (~v1(constB34)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[23510, 34493])).
% 20.92/14.56 tff(34495,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[4173, 34494])).
% 20.92/14.56 tff(34496,plain,(~(constB34 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34497,assumption,(constB116 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34498,plain,
% 20.92/14.56 (v1(constB116) <=> v1(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34497])).
% 20.92/14.56 tff(34499,plain,
% 20.92/14.56 (v1(sK0_VarCurr) <=> v1(constB116)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34498])).
% 20.92/14.56 tff(34500,plain,
% 20.92/14.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB116))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34499])).
% 20.92/14.56 tff(34501,plain,
% 20.92/14.56 (~v1(constB116)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[23510, 34500])).
% 20.92/14.56 tff(34502,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[14656, 34501])).
% 20.92/14.56 tff(34503,plain,(~(constB116 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34504,assumption,(constB0 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34505,plain,
% 20.92/14.56 (v162(constB0) <=> v162(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34504])).
% 20.92/14.56 tff(34506,plain,
% 20.92/14.56 (v162(sK0_VarCurr) <=> v162(constB0)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34505])).
% 20.92/14.56 tff(34507,plain,
% 20.92/14.56 (v162(constB0)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[22337, 34506])).
% 20.92/14.56 tff(34508,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[27267, 34507])).
% 20.92/14.56 tff(34509,plain,(~(constB0 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34510,assumption,(constB110 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34511,plain,
% 20.92/14.56 (v1(constB110) <=> v1(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34510])).
% 20.92/14.56 tff(34512,plain,
% 20.92/14.56 (v1(sK0_VarCurr) <=> v1(constB110)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34511])).
% 20.92/14.56 tff(34513,plain,
% 20.92/14.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB110))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34512])).
% 20.92/14.56 tff(34514,plain,
% 20.92/14.56 (~v1(constB110)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[23510, 34513])).
% 20.92/14.56 tff(34515,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[14094, 34514])).
% 20.92/14.56 tff(34516,plain,(~(constB110 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34517,assumption,(constB38 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34518,plain,
% 20.92/14.56 (v1(constB38) <=> v1(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34517])).
% 20.92/14.56 tff(34519,plain,
% 20.92/14.56 (v1(sK0_VarCurr) <=> v1(constB38)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34518])).
% 20.92/14.56 tff(34520,plain,
% 20.92/14.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB38))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34519])).
% 20.92/14.56 tff(34521,plain,
% 20.92/14.56 (~v1(constB38)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[23510, 34520])).
% 20.92/14.56 tff(34522,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[4575, 34521])).
% 20.92/14.56 tff(34523,plain,(~(constB38 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34524,assumption,(constB70 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34525,plain,
% 20.92/14.56 (v1(constB70) <=> v1(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34524])).
% 20.92/14.56 tff(34526,plain,
% 20.92/14.56 (v1(sK0_VarCurr) <=> v1(constB70)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34525])).
% 20.92/14.56 tff(34527,plain,
% 20.92/14.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB70))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34526])).
% 20.92/14.56 tff(34528,plain,
% 20.92/14.56 (~v1(constB70)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[23510, 34527])).
% 20.92/14.56 tff(34529,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[7813, 34528])).
% 20.92/14.56 tff(34530,plain,(~(constB70 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34531,assumption,(constB192 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34532,plain,
% 20.92/14.56 (v1(constB192) <=> v1(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34531])).
% 20.92/14.56 tff(34533,plain,
% 20.92/14.56 (v1(sK0_VarCurr) <=> v1(constB192)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34532])).
% 20.92/14.56 tff(34534,plain,
% 20.92/14.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB192))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34533])).
% 20.92/14.56 tff(34535,plain,
% 20.92/14.56 (~v1(constB192)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[23510, 34534])).
% 20.92/14.56 tff(34536,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[24045, 34535])).
% 20.92/14.56 tff(34537,plain,(~(constB192 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34538,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34539,plain,
% 20.92/14.56 (v1(constB42) <=> v1(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34538])).
% 20.92/14.56 tff(34540,plain,
% 20.92/14.56 (v1(sK0_VarCurr) <=> v1(constB42)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34539])).
% 20.92/14.56 tff(34541,plain,
% 20.92/14.56 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34540])).
% 20.92/14.56 tff(34542,plain,
% 20.92/14.56 (~v1(constB42)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[23510, 34541])).
% 20.92/14.56 tff(34543,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[5011, 34542])).
% 20.92/14.56 tff(34544,plain,(~(constB42 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34545,assumption,(v18(constB10)), introduced(assumption)).
% 20.92/14.56 tff(34546,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB10))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34547,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34546, 2627, 34545])).
% 20.92/14.56 tff(34548,plain,(~v18(constB10)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34549,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34550,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34551,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34550, 34549])).
% 20.92/14.56 tff(34552,plain,
% 20.92/14.56 (v22(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34551, 2640, 1504])).
% 20.92/14.56 tff(34553,plain,
% 20.92/14.56 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB10)) | (~v22(constB10)) | v18(constB10))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB10)) | (~v22(constB10)) | v18(constB10))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34554,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB10)) | (~v22(constB10)) | v18(constB10))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34555,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB10)) | (~v22(constB10)) | v18(constB10)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34554, 34553])).
% 20.92/14.56 tff(34556,plain,
% 20.92/14.56 ((~v19(constB10)) | v18(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34555, 2654, 34552])).
% 20.92/14.56 tff(34557,plain,
% 20.92/14.56 (~v19(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34556, 34548])).
% 20.92/14.56 tff(34558,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34559,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34560,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34559, 34558])).
% 20.92/14.56 tff(34561,plain,
% 20.92/14.56 (v13(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34560, 2669, 34557])).
% 20.92/14.56 tff(34562,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34563,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34564,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB9, constB10)) | (~v13(constB10)) | v9(constB9)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34563, 34562])).
% 20.92/14.56 tff(34565,plain,
% 20.92/14.56 ((~v13(constB10)) | v9(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34564, 2686, 1484])).
% 20.92/14.56 tff(34566,plain,
% 20.92/14.56 (v9(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34565, 34561])).
% 20.92/14.56 tff(34567,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v141(constB9))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB9) | (~v9(constB9)) | v141(constB9))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34568,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v141(constB9))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34569,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB9) | (~v9(constB9)) | v141(constB9)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34568, 34567])).
% 20.92/14.56 tff(34570,plain,
% 20.92/14.56 ((~v9(constB9)) | v141(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34569, 22396, 1314])).
% 20.92/14.56 tff(34571,plain,
% 20.92/14.56 (v141(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34570, 34566])).
% 20.92/14.56 tff(34572,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB9) | (~v141(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB9) | (~v141(constB9)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34573,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB9) | (~v141(constB9)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34574,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB9) | (~v141(constB9))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34573, 34572])).
% 20.92/14.56 tff(34575,plain,
% 20.92/14.56 (v140(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34574, 22408, 34571])).
% 20.92/14.56 tff(34576,plain,
% 20.92/14.56 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB9)) | (~v163(constB9)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB9)) | (~v163(constB9)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34577,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB9)) | (~v163(constB9)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34578,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB9)) | (~v163(constB9))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34577, 34576])).
% 20.92/14.56 tff(34579,plain,
% 20.92/14.56 (~v163(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34578, 22781, 34575])).
% 20.92/14.56 tff(34580,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB9) | (~v164(constB9)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB9) | (~v164(constB9)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34581,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB9) | (~v164(constB9)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34582,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB9) | (~v164(constB9))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34581, 34580])).
% 20.92/14.56 tff(34583,plain,
% 20.92/14.56 (~v164(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34582, 22640, 29598])).
% 20.92/14.56 tff(34584,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB9)) | v163(constB9) | v164(constB9))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB9)) | v163(constB9) | v164(constB9))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34585,plain,
% 20.92/14.56 ((v164(constB9) | v163(constB9) | (~v160(constB9))) <=> ((~v160(constB9)) | v163(constB9) | v164(constB9))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34586,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB9) | v163(constB9) | (~v160(constB9)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB9)) | v163(constB9) | v164(constB9)))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34585])).
% 20.92/14.56 tff(34587,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB9) | v163(constB9) | (~v160(constB9)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB9)) | v163(constB9) | v164(constB9))),
% 20.92/14.56 inference(transitivity,[status(thm)],[34586, 34584])).
% 20.92/14.56 tff(34588,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB9) | v163(constB9) | (~v160(constB9)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34589,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB9)) | v163(constB9) | v164(constB9)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34588, 34587])).
% 20.92/14.56 tff(34590,plain,
% 20.92/14.56 ((~v160(constB9)) | v163(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34589, 22795, 34583])).
% 20.92/14.56 tff(34591,plain,
% 20.92/14.56 (~v160(constB9)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34590, 34579])).
% 20.92/14.56 tff(34592,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34593,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34594,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34593, 34592])).
% 20.92/14.56 tff(34595,plain,
% 20.92/14.56 (v160(constB9) | (~v162(constB10))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34594, 22813, 1484])).
% 20.92/14.56 tff(34596,plain,
% 20.92/14.56 (~v162(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34595, 34591])).
% 20.92/14.56 tff(34597,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB10) | (~v163(constB10)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB10) | (~v163(constB10)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34598,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB10) | (~v163(constB10)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34599,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB10) | (~v163(constB10))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34598, 34597])).
% 20.92/14.56 tff(34600,plain,
% 20.92/14.56 (~v163(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34599, 22825, 34596])).
% 20.92/14.56 tff(34601,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB10) | (~v164(constB10)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB10) | (~v164(constB10)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34602,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB10) | (~v164(constB10)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34603,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB10) | (~v164(constB10))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34602, 34601])).
% 20.92/14.56 tff(34604,plain,
% 20.92/14.56 (~v164(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34603, 22836, 29620])).
% 20.92/14.56 tff(34605,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB10)) | v164(constB10) | v163(constB10))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB10)) | v164(constB10) | v163(constB10))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34606,plain,
% 20.92/14.56 ((v164(constB10) | v163(constB10) | (~v160(constB10))) <=> ((~v160(constB10)) | v164(constB10) | v163(constB10))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34607,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB10) | v163(constB10) | (~v160(constB10)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB10)) | v164(constB10) | v163(constB10)))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34606])).
% 20.92/14.56 tff(34608,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB10) | v163(constB10) | (~v160(constB10)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB10)) | v164(constB10) | v163(constB10))),
% 20.92/14.56 inference(transitivity,[status(thm)],[34607, 34605])).
% 20.92/14.56 tff(34609,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB10) | v163(constB10) | (~v160(constB10)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34610,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB10)) | v164(constB10) | v163(constB10)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34609, 34608])).
% 20.92/14.56 tff(34611,plain,
% 20.92/14.56 ((~v160(constB10)) | v163(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34610, 22795, 34604])).
% 20.92/14.56 tff(34612,plain,
% 20.92/14.56 (~v160(constB10)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34611, 34600])).
% 20.92/14.56 tff(34613,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34614,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34615,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34614, 34613])).
% 20.92/14.56 tff(34616,plain,
% 20.92/14.56 (v160(constB10) | (~v162(constB11))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34615, 22813, 1556])).
% 20.92/14.56 tff(34617,plain,
% 20.92/14.56 (~v162(constB11)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34616, 34612])).
% 20.92/14.56 tff(34618,assumption,(constB11 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34619,plain,
% 20.92/14.56 (v162(constB11) <=> v162(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34618])).
% 20.92/14.56 tff(34620,plain,
% 20.92/14.56 (v162(sK0_VarCurr) <=> v162(constB11)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34619])).
% 20.92/14.56 tff(34621,plain,
% 20.92/14.56 (v162(constB11)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[22337, 34620])).
% 20.92/14.56 tff(34622,assumption,(~v162(constB11)), introduced(assumption)).
% 20.92/14.56 tff(34623,plain,
% 20.92/14.56 ($false),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34622, 34621])).
% 20.92/14.56 tff(34624,plain,((~(constB11 = sK0_VarCurr)) | v162(constB11)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.56 tff(34625,plain,
% 20.92/14.56 (~(constB11 = sK0_VarCurr)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34624, 34617])).
% 20.92/14.56 tff(34626,assumption,(constB163 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.56 tff(34627,plain,
% 20.92/14.56 (v162(constB163) <=> v162(sK0_VarCurr)),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34626])).
% 20.92/14.56 tff(34628,plain,
% 20.92/14.56 (v162(sK0_VarCurr) <=> v162(constB163)),
% 20.92/14.56 inference(symmetry,[status(thm)],[34627])).
% 20.92/14.56 tff(34629,plain,
% 20.92/14.56 (v162(constB163)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[22337, 34628])).
% 20.92/14.56 tff(34630,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB157) | (~v144(constB157)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB157) | (~v144(constB157)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34631,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB157) | (~v144(constB157)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34632,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB157) | (~v144(constB157))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34631, 34630])).
% 20.92/14.56 tff(34633,plain,
% 20.92/14.56 (~v144(constB157)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34632, 22349, 18986])).
% 20.92/14.56 tff(34634,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB157) | (~v142(constB157)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34635,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB157) | (~v142(constB157)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34636,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB157) | (~v142(constB157))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 20.92/14.56 tff(34637,plain,
% 20.92/14.56 (~v142(constB157)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34636, 22360, 34633])).
% 20.92/14.56 tff(34638,plain,
% 20.92/14.56 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB157)) | (~v138(constB157)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB157)) | (~v138(constB157)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34639,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB157)) | (~v138(constB157)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34640,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB157)) | (~v138(constB157))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34639, 34638])).
% 20.92/14.56 tff(34641,plain,
% 20.92/14.56 (~v138(constB157)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34640, 22419, 24959])).
% 20.92/14.56 tff(34642,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB157) | v142(constB157) | (~v135(constB157)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB157) | v142(constB157) | (~v135(constB157)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34643,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB157) | v142(constB157) | (~v135(constB157)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34644,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB157) | v142(constB157) | (~v135(constB157))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34643, 34642])).
% 20.92/14.56 tff(34645,plain,
% 20.92/14.56 (v142(constB157) | (~v135(constB157))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34644, 22436, 34641])).
% 20.92/14.56 tff(34646,plain,
% 20.92/14.56 (~v135(constB157)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34645, 34637])).
% 20.92/14.56 tff(34647,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB157, constB158)) | v135(constB157) | (~v137(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB157, constB158)) | v135(constB157) | (~v137(constB158)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34648,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB157, constB158)) | v135(constB157) | (~v137(constB158)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34649,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB157, constB158)) | v135(constB157) | (~v137(constB158))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34648, 34647])).
% 20.92/14.56 tff(34650,plain,
% 20.92/14.56 (v135(constB157) | (~v137(constB158))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34649, 22451, 19020])).
% 20.92/14.56 tff(34651,plain,
% 20.92/14.56 (~v137(constB158)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34650, 34646])).
% 20.92/14.56 tff(34652,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB158) | (~v138(constB158)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB158) | (~v138(constB158)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34653,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB158) | (~v138(constB158)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34654,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB158) | (~v138(constB158))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34653, 34652])).
% 20.92/14.56 tff(34655,plain,
% 20.92/14.56 (~v138(constB158)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34654, 22463, 34651])).
% 20.92/14.56 tff(34656,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB158) | (~v144(constB158)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB158) | (~v144(constB158)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34657,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB158) | (~v144(constB158)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34658,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB158) | (~v144(constB158))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34657, 34656])).
% 20.92/14.56 tff(34659,plain,
% 20.92/14.56 (~v144(constB158)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34658, 22485, 24981])).
% 20.92/14.56 tff(34660,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB158) | (~v142(constB158)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB158) | (~v142(constB158)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34661,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB158) | (~v142(constB158)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34662,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB158) | (~v142(constB158))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34661, 34660])).
% 20.92/14.56 tff(34663,plain,
% 20.92/14.56 (~v142(constB158)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34662, 22360, 34659])).
% 20.92/14.56 tff(34664,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB158) | v142(constB158) | (~v135(constB158)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB158) | v142(constB158) | (~v135(constB158)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34665,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB158) | v142(constB158) | (~v135(constB158)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34666,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB158) | v142(constB158) | (~v135(constB158))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34665, 34664])).
% 20.92/14.56 tff(34667,plain,
% 20.92/14.56 (v138(constB158) | (~v135(constB158))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34666, 22436, 34663])).
% 20.92/14.56 tff(34668,plain,
% 20.92/14.56 (~v135(constB158)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34667, 34655])).
% 20.92/14.56 tff(34669,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB158, constB159)) | v135(constB158) | (~v137(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB158, constB159)) | v135(constB158) | (~v137(constB159)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34670,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB158, constB159)) | v135(constB158) | (~v137(constB159)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34671,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB158, constB159)) | v135(constB158) | (~v137(constB159))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34670, 34669])).
% 20.92/14.56 tff(34672,plain,
% 20.92/14.56 (v135(constB158) | (~v137(constB159))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34671, 22451, 19203])).
% 20.92/14.56 tff(34673,plain,
% 20.92/14.56 (~v137(constB159)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34672, 34668])).
% 20.92/14.56 tff(34674,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB159) | (~v153(constB159)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB159) | (~v153(constB159)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34675,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB159) | (~v153(constB159)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34676,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB159) | (~v153(constB159))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34675, 34674])).
% 20.92/14.56 tff(34677,plain,
% 20.92/14.56 (~v153(constB159)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34676, 22510, 34673])).
% 20.92/14.56 tff(34678,plain,
% 20.92/14.56 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB159)) | (~v155(constB159)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB159)) | (~v155(constB159)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34679,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB159)) | (~v155(constB159)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34680,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB159)) | (~v155(constB159))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34679, 34678])).
% 20.92/14.56 tff(34681,plain,
% 20.92/14.56 (~v155(constB159)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34680, 22552, 25034])).
% 20.92/14.56 tff(34682,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB159) | v155(constB159) | (~v150(constB159)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB159) | v155(constB159) | (~v150(constB159)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34683,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB159) | v155(constB159) | (~v150(constB159)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34684,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB159) | v155(constB159) | (~v150(constB159))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34683, 34682])).
% 20.92/14.56 tff(34685,plain,
% 20.92/14.56 (v153(constB159) | (~v150(constB159))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34684, 22566, 34681])).
% 20.92/14.56 tff(34686,plain,
% 20.92/14.56 (~v150(constB159)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34685, 34677])).
% 20.92/14.56 tff(34687,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB159, constB160)) | v150(constB159) | (~v152(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB159, constB160)) | v150(constB159) | (~v152(constB160)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34688,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB159, constB160)) | v150(constB159) | (~v152(constB160)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34689,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB159, constB160)) | v150(constB159) | (~v152(constB160))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34688, 34687])).
% 20.92/14.56 tff(34690,plain,
% 20.92/14.56 (v150(constB159) | (~v152(constB160))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34689, 22581, 19344])).
% 20.92/14.56 tff(34691,plain,
% 20.92/14.56 (~v152(constB160)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34690, 34686])).
% 20.92/14.56 tff(34692,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB160) | (~v155(constB160)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB160) | (~v155(constB160)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34693,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB160) | (~v155(constB160)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34694,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB160) | (~v155(constB160))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34693, 34692])).
% 20.92/14.56 tff(34695,plain,
% 20.92/14.56 (~v155(constB160)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34694, 22593, 34691])).
% 20.92/14.56 tff(34696,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB160) | (~v153(constB160)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB160) | (~v153(constB160)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34697,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB160) | (~v153(constB160)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34698,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB160) | (~v153(constB160))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34697, 34696])).
% 20.92/14.56 tff(34699,plain,
% 20.92/14.56 (~v153(constB160)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34698, 22619, 25063])).
% 20.92/14.56 tff(34700,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB160) | v155(constB160) | (~v150(constB160)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB160) | v155(constB160) | (~v150(constB160)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34701,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB160) | v155(constB160) | (~v150(constB160)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34702,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB160) | v155(constB160) | (~v150(constB160))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34701, 34700])).
% 20.92/14.56 tff(34703,plain,
% 20.92/14.56 (v155(constB160) | (~v150(constB160))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34702, 22566, 34699])).
% 20.92/14.56 tff(34704,plain,
% 20.92/14.56 (~v150(constB160)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34703, 34695])).
% 20.92/14.56 tff(34705,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB160, constB161)) | v150(constB160) | (~v152(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB160, constB161)) | v150(constB160) | (~v152(constB161)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34706,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB160, constB161)) | v150(constB160) | (~v152(constB161)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34707,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB160, constB161)) | v150(constB160) | (~v152(constB161))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34706, 34705])).
% 20.92/14.56 tff(34708,plain,
% 20.92/14.56 (v150(constB160) | (~v152(constB161))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34707, 22581, 19413])).
% 20.92/14.56 tff(34709,plain,
% 20.92/14.56 (~v152(constB161)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34708, 34704])).
% 20.92/14.56 tff(34710,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB161) | (~v164(constB161)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB161) | (~v164(constB161)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34711,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB161) | (~v164(constB161)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34712,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB161) | (~v164(constB161))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34711, 34710])).
% 20.92/14.56 tff(34713,plain,
% 20.92/14.56 (~v164(constB161)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34712, 22640, 34709])).
% 20.92/14.56 tff(34714,plain,
% 20.92/14.56 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB161)) | (~v163(constB161)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB161)) | (~v163(constB161)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34715,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB161)) | (~v163(constB161)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34716,plain,
% 20.92/14.56 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB161)) | (~v163(constB161))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34715, 34714])).
% 20.92/14.56 tff(34717,plain,
% 20.92/14.56 (~v163(constB161)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34716, 22781, 25545])).
% 20.92/14.56 tff(34718,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB161)) | v164(constB161) | v163(constB161))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB161)) | v164(constB161) | v163(constB161))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34719,plain,
% 20.92/14.56 ((v164(constB161) | v163(constB161) | (~v160(constB161))) <=> ((~v160(constB161)) | v164(constB161) | v163(constB161))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34720,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB161) | v163(constB161) | (~v160(constB161)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB161)) | v164(constB161) | v163(constB161)))),
% 20.92/14.56 inference(monotonicity,[status(thm)],[34719])).
% 20.92/14.56 tff(34721,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB161) | v163(constB161) | (~v160(constB161)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB161)) | v164(constB161) | v163(constB161))),
% 20.92/14.56 inference(transitivity,[status(thm)],[34720, 34718])).
% 20.92/14.56 tff(34722,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB161) | v163(constB161) | (~v160(constB161)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34723,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB161)) | v164(constB161) | v163(constB161)),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34722, 34721])).
% 20.92/14.56 tff(34724,plain,
% 20.92/14.56 ((~v160(constB161)) | v164(constB161)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34723, 22795, 34717])).
% 20.92/14.56 tff(34725,plain,
% 20.92/14.56 (~v160(constB161)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34724, 34713])).
% 20.92/14.56 tff(34726,plain,
% 20.92/14.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB161, constB162)) | v160(constB161) | (~v162(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB161, constB162)) | v160(constB161) | (~v162(constB162)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34727,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB161, constB162)) | v160(constB161) | (~v162(constB162)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34728,plain,
% 20.92/14.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB161, constB162)) | v160(constB161) | (~v162(constB162))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34727, 34726])).
% 20.92/14.56 tff(34729,plain,
% 20.92/14.56 (v160(constB161) | (~v162(constB162))),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34728, 22813, 19542])).
% 20.92/14.56 tff(34730,plain,
% 20.92/14.56 (~v162(constB162)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34729, 34725])).
% 20.92/14.56 tff(34731,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB162) | (~v163(constB162)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB162) | (~v163(constB162)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34732,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB162) | (~v163(constB162)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.56 tff(34733,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB162) | (~v163(constB162))),
% 20.92/14.56 inference(modus_ponens,[status(thm)],[34732, 34731])).
% 20.92/14.56 tff(34734,plain,
% 20.92/14.56 (~v163(constB162)),
% 20.92/14.56 inference(unit_resolution,[status(thm)],[34733, 22825, 34730])).
% 20.92/14.56 tff(34735,plain,
% 20.92/14.56 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB162) | (~v154(constB162)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB162) | (~v154(constB162)))),
% 20.92/14.56 inference(rewrite,[status(thm)],[])).
% 20.92/14.56 tff(34736,plain,
% 20.92/14.56 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB162) | (~v154(constB162)))),
% 20.92/14.56 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34737,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB162) | (~v154(constB162))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34736, 34735])).
% 20.92/14.57 tff(34738,plain,
% 20.92/14.57 (~v154(constB162)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34737, 22608, 25570])).
% 20.92/14.57 tff(34739,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB162) | (~v164(constB162)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB162) | (~v164(constB162)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34740,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB162) | (~v164(constB162)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34741,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB162) | (~v164(constB162))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34740, 34739])).
% 20.92/14.57 tff(34742,plain,
% 20.92/14.57 (~v164(constB162)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34741, 22836, 34738])).
% 20.92/14.57 tff(34743,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB162)) | v164(constB162) | v163(constB162))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB162)) | v164(constB162) | v163(constB162))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34744,plain,
% 20.92/14.57 ((v164(constB162) | v163(constB162) | (~v160(constB162))) <=> ((~v160(constB162)) | v164(constB162) | v163(constB162))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34745,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB162) | v163(constB162) | (~v160(constB162)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB162)) | v164(constB162) | v163(constB162)))),
% 20.92/14.57 inference(monotonicity,[status(thm)],[34744])).
% 20.92/14.57 tff(34746,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB162) | v163(constB162) | (~v160(constB162)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB162)) | v164(constB162) | v163(constB162))),
% 20.92/14.57 inference(transitivity,[status(thm)],[34745, 34743])).
% 20.92/14.57 tff(34747,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB162) | v163(constB162) | (~v160(constB162)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34748,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB162)) | v164(constB162) | v163(constB162)),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34747, 34746])).
% 20.92/14.57 tff(34749,plain,
% 20.92/14.57 ((~v160(constB162)) | v163(constB162)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34748, 22795, 34742])).
% 20.92/14.57 tff(34750,plain,
% 20.92/14.57 (~v160(constB162)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34749, 34734])).
% 20.92/14.57 tff(34751,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB162, constB163)) | v160(constB162) | (~v162(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB162, constB163)) | v160(constB162) | (~v162(constB163)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34752,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB162, constB163)) | v160(constB162) | (~v162(constB163)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34753,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB162, constB163)) | v160(constB162) | (~v162(constB163))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34752, 34751])).
% 20.92/14.57 tff(34754,plain,
% 20.92/14.57 (v160(constB162) | (~v162(constB163))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34753, 22813, 19607])).
% 20.92/14.57 tff(34755,plain,
% 20.92/14.57 (~v162(constB163)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34754, 34750])).
% 20.92/14.57 tff(34756,plain,
% 20.92/14.57 ($false),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34755, 34629])).
% 20.92/14.57 tff(34757,plain,(~(constB163 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.57 tff(34758,assumption,(constB103 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.57 tff(34759,plain,
% 20.92/14.57 (v162(constB103) <=> v162(sK0_VarCurr)),
% 20.92/14.57 inference(monotonicity,[status(thm)],[34758])).
% 20.92/14.57 tff(34760,plain,
% 20.92/14.57 (v162(sK0_VarCurr) <=> v162(constB103)),
% 20.92/14.57 inference(symmetry,[status(thm)],[34759])).
% 20.92/14.57 tff(34761,plain,
% 20.92/14.57 (v162(constB103)),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[22337, 34760])).
% 20.92/14.57 tff(34762,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB97) | (~v144(constB97)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB97) | (~v144(constB97)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34763,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB97) | (~v144(constB97)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34764,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB97) | (~v144(constB97))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34763, 34762])).
% 20.92/14.57 tff(34765,plain,
% 20.92/14.57 (~v144(constB97)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34764, 22349, 12847])).
% 20.92/14.57 tff(34766,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB97) | (~v142(constB97)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34767,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB97) | (~v142(constB97)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34768,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB97) | (~v142(constB97))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34767, 34766])).
% 20.92/14.57 tff(34769,plain,
% 20.92/14.57 (~v142(constB97)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34768, 22360, 34765])).
% 20.92/14.57 tff(34770,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB97) | (~v138(constB97)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB97) | (~v138(constB97)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34771,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB97) | (~v138(constB97)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34772,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB97) | (~v138(constB97))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34771, 34770])).
% 20.92/14.57 tff(34773,plain,
% 20.92/14.57 (~v138(constB97)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34772, 22463, 33324])).
% 20.92/14.57 tff(34774,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB97) | v142(constB97) | (~v135(constB97)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB97) | v142(constB97) | (~v135(constB97)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34775,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB97) | v142(constB97) | (~v135(constB97)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34776,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB97) | v142(constB97) | (~v135(constB97))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34775, 34774])).
% 20.92/14.57 tff(34777,plain,
% 20.92/14.57 (v142(constB97) | (~v135(constB97))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34776, 22436, 34773])).
% 20.92/14.57 tff(34778,plain,
% 20.92/14.57 (~v135(constB97)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34777, 34769])).
% 20.92/14.57 tff(34779,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB97, constB98)) | v135(constB97) | (~v137(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB97, constB98)) | v135(constB97) | (~v137(constB98)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34780,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB97, constB98)) | v135(constB97) | (~v137(constB98)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34781,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB97, constB98)) | v135(constB97) | (~v137(constB98))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 20.92/14.57 tff(34782,plain,
% 20.92/14.57 (v135(constB97) | (~v137(constB98))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34781, 22451, 12793])).
% 20.92/14.57 tff(34783,plain,
% 20.92/14.57 (~v137(constB98)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34782, 34778])).
% 20.92/14.57 tff(34784,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB98) | (~v138(constB98)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB98) | (~v138(constB98)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34785,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB98) | (~v138(constB98)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34786,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB98) | (~v138(constB98))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34785, 34784])).
% 20.92/14.57 tff(34787,plain,
% 20.92/14.57 (~v138(constB98)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34786, 22463, 34783])).
% 20.92/14.57 tff(34788,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB98) | (~v144(constB98)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB98) | (~v144(constB98)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34789,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB98) | (~v144(constB98)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34790,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB98) | (~v144(constB98))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34789, 34788])).
% 20.92/14.57 tff(34791,plain,
% 20.92/14.57 (~v144(constB98)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34790, 22485, 22878])).
% 20.92/14.57 tff(34792,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB98) | (~v142(constB98)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB98) | (~v142(constB98)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34793,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB98) | (~v142(constB98)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34794,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB98) | (~v142(constB98))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34793, 34792])).
% 20.92/14.57 tff(34795,plain,
% 20.92/14.57 (~v142(constB98)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34794, 22360, 34791])).
% 20.92/14.57 tff(34796,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB98) | v142(constB98) | (~v135(constB98)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB98) | v142(constB98) | (~v135(constB98)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34797,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB98) | v142(constB98) | (~v135(constB98)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34798,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB98) | v142(constB98) | (~v135(constB98))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34797, 34796])).
% 20.92/14.57 tff(34799,plain,
% 20.92/14.57 (v138(constB98) | (~v135(constB98))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34798, 22436, 34795])).
% 20.92/14.57 tff(34800,plain,
% 20.92/14.57 (~v135(constB98)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34799, 34787])).
% 20.92/14.57 tff(34801,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB98, constB99)) | v135(constB98) | (~v137(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB98, constB99)) | v135(constB98) | (~v137(constB99)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34802,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB98, constB99)) | v135(constB98) | (~v137(constB99)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34803,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB98, constB99)) | v135(constB98) | (~v137(constB99))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34802, 34801])).
% 20.92/14.57 tff(34804,plain,
% 20.92/14.57 (v135(constB98) | (~v137(constB99))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34803, 22451, 12885])).
% 20.92/14.57 tff(34805,plain,
% 20.92/14.57 (~v137(constB99)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34804, 34800])).
% 20.92/14.57 tff(34806,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB99) | (~v153(constB99)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB99) | (~v153(constB99)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34807,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB99) | (~v153(constB99)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34808,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB99) | (~v153(constB99))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34807, 34806])).
% 20.92/14.57 tff(34809,plain,
% 20.92/14.57 (~v153(constB99)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34808, 22510, 34805])).
% 20.92/14.57 tff(34810,plain,
% 20.92/14.57 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB99)) | (~v155(constB99)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB99)) | (~v155(constB99)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34811,plain,
% 20.92/14.57 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB99)) | (~v155(constB99)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34812,plain,
% 20.92/14.57 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB99)) | (~v155(constB99))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34811, 34810])).
% 20.92/14.57 tff(34813,plain,
% 20.92/14.57 (~v155(constB99)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34812, 22552, 33395])).
% 20.92/14.57 tff(34814,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB99) | v155(constB99) | (~v150(constB99)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB99) | v155(constB99) | (~v150(constB99)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34815,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB99) | v155(constB99) | (~v150(constB99)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34816,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB99) | v155(constB99) | (~v150(constB99))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34815, 34814])).
% 20.92/14.57 tff(34817,plain,
% 20.92/14.57 (v153(constB99) | (~v150(constB99))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34816, 22566, 34813])).
% 20.92/14.57 tff(34818,plain,
% 20.92/14.57 (~v150(constB99)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34817, 34809])).
% 20.92/14.57 tff(34819,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB99, constB100)) | v150(constB99) | (~v152(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB99, constB100)) | v150(constB99) | (~v152(constB100)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34820,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB99, constB100)) | v150(constB99) | (~v152(constB100)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34821,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB99, constB100)) | v150(constB99) | (~v152(constB100))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34820, 34819])).
% 20.92/14.57 tff(34822,plain,
% 20.92/14.57 (v150(constB99) | (~v152(constB100))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34821, 22581, 13000])).
% 20.92/14.57 tff(34823,plain,
% 20.92/14.57 (~v152(constB100)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34822, 34818])).
% 20.92/14.57 tff(34824,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB100) | (~v155(constB100)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB100) | (~v155(constB100)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34825,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB100) | (~v155(constB100)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34826,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB100) | (~v155(constB100))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34825, 34824])).
% 20.92/14.57 tff(34827,plain,
% 20.92/14.57 (~v155(constB100)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34826, 22593, 34823])).
% 20.92/14.57 tff(34828,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB100) | (~v153(constB100)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB100) | (~v153(constB100)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34829,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB100) | (~v153(constB100)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34830,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB100) | (~v153(constB100))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34829, 34828])).
% 20.92/14.57 tff(34831,plain,
% 20.92/14.57 (~v153(constB100)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34830, 22619, 33424])).
% 20.92/14.57 tff(34832,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB100) | v155(constB100) | (~v150(constB100)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB100) | v155(constB100) | (~v150(constB100)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34833,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB100) | v155(constB100) | (~v150(constB100)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34834,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB100) | v155(constB100) | (~v150(constB100))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34833, 34832])).
% 20.92/14.57 tff(34835,plain,
% 20.92/14.57 (v155(constB100) | (~v150(constB100))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34834, 22566, 34831])).
% 20.92/14.57 tff(34836,plain,
% 20.92/14.57 (~v150(constB100)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34835, 34827])).
% 20.92/14.57 tff(34837,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB100, constB101)) | v150(constB100) | (~v152(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB100, constB101)) | v150(constB100) | (~v152(constB101)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34838,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB100, constB101)) | v150(constB100) | (~v152(constB101)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34839,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB100, constB101)) | v150(constB100) | (~v152(constB101))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34838, 34837])).
% 20.92/14.57 tff(34840,plain,
% 20.92/14.57 (v150(constB100) | (~v152(constB101))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34839, 22581, 13123])).
% 20.92/14.57 tff(34841,plain,
% 20.92/14.57 (~v152(constB101)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34840, 34836])).
% 20.92/14.57 tff(34842,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB101) | (~v164(constB101)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB101) | (~v164(constB101)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34843,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB101) | (~v164(constB101)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34844,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB101) | (~v164(constB101))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34843, 34842])).
% 20.92/14.57 tff(34845,plain,
% 20.92/14.57 (~v164(constB101)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34844, 22640, 34841])).
% 20.92/14.57 tff(34846,plain,
% 20.92/14.57 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB101)) | (~v163(constB101)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB101)) | (~v163(constB101)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34847,plain,
% 20.92/14.57 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB101)) | (~v163(constB101)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34848,plain,
% 20.92/14.57 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB101)) | (~v163(constB101))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34847, 34846])).
% 20.92/14.57 tff(34849,plain,
% 20.92/14.57 (~v163(constB101)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34848, 22781, 33142])).
% 20.92/14.57 tff(34850,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB101)) | v163(constB101) | v164(constB101))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB101)) | v163(constB101) | v164(constB101))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34851,plain,
% 20.92/14.57 ((v164(constB101) | v163(constB101) | (~v160(constB101))) <=> ((~v160(constB101)) | v163(constB101) | v164(constB101))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34852,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB101) | v163(constB101) | (~v160(constB101)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB101)) | v163(constB101) | v164(constB101)))),
% 20.92/14.57 inference(monotonicity,[status(thm)],[34851])).
% 20.92/14.57 tff(34853,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB101) | v163(constB101) | (~v160(constB101)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB101)) | v163(constB101) | v164(constB101))),
% 20.92/14.57 inference(transitivity,[status(thm)],[34852, 34850])).
% 20.92/14.57 tff(34854,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB101) | v163(constB101) | (~v160(constB101)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34855,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB101)) | v163(constB101) | v164(constB101)),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34854, 34853])).
% 20.92/14.57 tff(34856,plain,
% 20.92/14.57 ((~v160(constB101)) | v164(constB101)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34855, 22795, 34849])).
% 20.92/14.57 tff(34857,plain,
% 20.92/14.57 (~v160(constB101)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34856, 34845])).
% 20.92/14.57 tff(34858,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB101, constB102)) | v160(constB101) | (~v162(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB101, constB102)) | v160(constB101) | (~v162(constB102)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34859,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB101, constB102)) | v160(constB101) | (~v162(constB102)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34860,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB101, constB102)) | v160(constB101) | (~v162(constB102))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34859, 34858])).
% 20.92/14.57 tff(34861,plain,
% 20.92/14.57 (v160(constB101) | (~v162(constB102))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34860, 22813, 13208])).
% 20.92/14.57 tff(34862,plain,
% 20.92/14.57 (~v162(constB102)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34861, 34857])).
% 20.92/14.57 tff(34863,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB102) | (~v163(constB102)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB102) | (~v163(constB102)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34864,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB102) | (~v163(constB102)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34865,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB102) | (~v163(constB102))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34864, 34863])).
% 20.92/14.57 tff(34866,plain,
% 20.92/14.57 (~v163(constB102)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34865, 22825, 34862])).
% 20.92/14.57 tff(34867,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB102) | (~v154(constB102)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB102) | (~v154(constB102)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34868,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB102) | (~v154(constB102)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34869,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB102) | (~v154(constB102))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34868, 34867])).
% 20.92/14.57 tff(34870,plain,
% 20.92/14.57 (~v154(constB102)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34869, 22608, 33167])).
% 20.92/14.57 tff(34871,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB102) | (~v164(constB102)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB102) | (~v164(constB102)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34872,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB102) | (~v164(constB102)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34873,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB102) | (~v164(constB102))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34872, 34871])).
% 20.92/14.57 tff(34874,plain,
% 20.92/14.57 (~v164(constB102)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34873, 22836, 34870])).
% 20.92/14.57 tff(34875,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB102)) | v164(constB102) | v163(constB102))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB102)) | v164(constB102) | v163(constB102))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34876,plain,
% 20.92/14.57 ((v164(constB102) | v163(constB102) | (~v160(constB102))) <=> ((~v160(constB102)) | v164(constB102) | v163(constB102))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34877,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB102) | v163(constB102) | (~v160(constB102)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB102)) | v164(constB102) | v163(constB102)))),
% 20.92/14.57 inference(monotonicity,[status(thm)],[34876])).
% 20.92/14.57 tff(34878,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB102) | v163(constB102) | (~v160(constB102)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB102)) | v164(constB102) | v163(constB102))),
% 20.92/14.57 inference(transitivity,[status(thm)],[34877, 34875])).
% 20.92/14.57 tff(34879,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB102) | v163(constB102) | (~v160(constB102)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34880,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB102)) | v164(constB102) | v163(constB102)),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34879, 34878])).
% 20.92/14.57 tff(34881,plain,
% 20.92/14.57 ((~v160(constB102)) | v163(constB102)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34880, 22795, 34874])).
% 20.92/14.57 tff(34882,plain,
% 20.92/14.57 (~v160(constB102)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34881, 34866])).
% 20.92/14.57 tff(34883,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB102, constB103)) | v160(constB102) | (~v162(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB102, constB103)) | v160(constB102) | (~v162(constB103)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34884,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB102, constB103)) | v160(constB102) | (~v162(constB103)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34885,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB102, constB103)) | v160(constB102) | (~v162(constB103))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34884, 34883])).
% 20.92/14.57 tff(34886,plain,
% 20.92/14.57 (v160(constB102) | (~v162(constB103))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34885, 22813, 13334])).
% 20.92/14.57 tff(34887,plain,
% 20.92/14.57 (~v162(constB103)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34886, 34882])).
% 20.92/14.57 tff(34888,plain,
% 20.92/14.57 ($false),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34887, 34761])).
% 20.92/14.57 tff(34889,plain,(~(constB103 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.57 tff(34890,assumption,(constB120 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.57 tff(34891,plain,
% 20.92/14.57 (v1(constB120) <=> v1(sK0_VarCurr)),
% 20.92/14.57 inference(monotonicity,[status(thm)],[34890])).
% 20.92/14.57 tff(34892,plain,
% 20.92/14.57 (v1(sK0_VarCurr) <=> v1(constB120)),
% 20.92/14.57 inference(symmetry,[status(thm)],[34891])).
% 20.92/14.57 tff(34893,plain,
% 20.92/14.57 ((~v1(sK0_VarCurr)) <=> (~v1(constB120))),
% 20.92/14.57 inference(monotonicity,[status(thm)],[34892])).
% 20.92/14.57 tff(34894,plain,
% 20.92/14.57 (~v1(constB120)),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[23510, 34893])).
% 20.92/14.57 tff(34895,plain,
% 20.92/14.57 ($false),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[15104, 34894])).
% 20.92/14.57 tff(34896,plain,(~(constB120 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.57 tff(34897,assumption,(constB91 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.57 tff(34898,plain,
% 20.92/14.57 (v162(constB91) <=> v162(sK0_VarCurr)),
% 20.92/14.57 inference(monotonicity,[status(thm)],[34897])).
% 20.92/14.57 tff(34899,plain,
% 20.92/14.57 (v162(sK0_VarCurr) <=> v162(constB91)),
% 20.92/14.57 inference(symmetry,[status(thm)],[34898])).
% 20.92/14.57 tff(34900,plain,
% 20.92/14.57 (v162(constB91)),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[22337, 34899])).
% 20.92/14.57 tff(34901,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB85) | (~v144(constB85)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34902,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB85) | (~v144(constB85)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34903,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB85) | (~v144(constB85))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34902, 34901])).
% 20.92/14.57 tff(34904,plain,
% 20.92/14.57 (~v144(constB85)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34903, 22349, 9638])).
% 20.92/14.57 tff(34905,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB85) | (~v142(constB85)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34906,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB85) | (~v142(constB85)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34907,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB85) | (~v142(constB85))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34906, 34905])).
% 20.92/14.57 tff(34908,plain,
% 20.92/14.57 (~v142(constB85)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34907, 22360, 34904])).
% 20.92/14.57 tff(34909,plain,
% 20.92/14.57 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB85)) | (~v140(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB85)) | (~v140(constB85)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34910,plain,
% 20.92/14.57 (((~v140(constB85)) | (~v138(constB85))) <=> ((~v138(constB85)) | (~v140(constB85)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34911,plain,
% 20.92/14.57 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB85)) | (~v138(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB85)) | (~v140(constB85))))),
% 20.92/14.57 inference(monotonicity,[status(thm)],[34910])).
% 20.92/14.57 tff(34912,plain,
% 20.92/14.57 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB85)) | (~v138(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB85)) | (~v140(constB85)))),
% 20.92/14.57 inference(transitivity,[status(thm)],[34911, 34909])).
% 20.92/14.57 tff(34913,plain,
% 20.92/14.57 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB85)) | (~v138(constB85)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34914,plain,
% 20.92/14.57 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB85)) | (~v140(constB85))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34913, 34912])).
% 20.92/14.57 tff(34915,plain,
% 20.92/14.57 (~v138(constB85)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34914, 22419, 27567])).
% 20.92/14.57 tff(34916,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB85) | v142(constB85) | (~v135(constB85)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB85) | v142(constB85) | (~v135(constB85)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34917,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB85) | v142(constB85) | (~v135(constB85)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34918,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB85) | v142(constB85) | (~v135(constB85))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34917, 34916])).
% 20.92/14.57 tff(34919,plain,
% 20.92/14.57 (v142(constB85) | (~v135(constB85))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34918, 22436, 34915])).
% 20.92/14.57 tff(34920,plain,
% 20.92/14.57 (~v135(constB85)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34919, 34908])).
% 20.92/14.57 tff(34921,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34922,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34923,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34922, 34921])).
% 20.92/14.57 tff(34924,plain,
% 20.92/14.57 (v135(constB85) | (~v137(constB86))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34923, 22451, 9600])).
% 20.92/14.57 tff(34925,plain,
% 20.92/14.57 (~v137(constB86)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34924, 34920])).
% 20.92/14.57 tff(34926,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB86) | (~v138(constB86)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB86) | (~v138(constB86)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34927,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB86) | (~v138(constB86)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34928,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB86) | (~v138(constB86))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34927, 34926])).
% 20.92/14.57 tff(34929,plain,
% 20.92/14.57 (~v138(constB86)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34928, 22463, 34925])).
% 20.92/14.57 tff(34930,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB86) | (~v144(constB86)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB86) | (~v144(constB86)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34931,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB86) | (~v144(constB86)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34932,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB86) | (~v144(constB86))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34931, 34930])).
% 20.92/14.57 tff(34933,plain,
% 20.92/14.57 (~v144(constB86)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34932, 22485, 27589])).
% 20.92/14.57 tff(34934,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB86) | (~v142(constB86)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB86) | (~v142(constB86)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34935,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB86) | (~v142(constB86)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34936,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB86) | (~v142(constB86))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34935, 34934])).
% 20.92/14.57 tff(34937,plain,
% 20.92/14.57 (~v142(constB86)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34936, 22360, 34933])).
% 20.92/14.57 tff(34938,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB86) | v142(constB86) | (~v135(constB86)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB86) | v142(constB86) | (~v135(constB86)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34939,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB86) | v142(constB86) | (~v135(constB86)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34940,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB86) | v142(constB86) | (~v135(constB86))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34939, 34938])).
% 20.92/14.57 tff(34941,plain,
% 20.92/14.57 (v138(constB86) | (~v135(constB86))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34940, 22436, 34937])).
% 20.92/14.57 tff(34942,plain,
% 20.92/14.57 (~v135(constB86)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34941, 34929])).
% 20.92/14.57 tff(34943,plain,
% 20.92/14.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34944,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34945,plain,
% 20.92/14.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34944, 34943])).
% 20.92/14.57 tff(34946,plain,
% 20.92/14.57 (v135(constB86) | (~v137(constB87))),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34945, 22451, 11281])).
% 20.92/14.57 tff(34947,plain,
% 20.92/14.57 (~v137(constB87)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34946, 34942])).
% 20.92/14.57 tff(34948,plain,
% 20.92/14.57 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB87) | (~v153(constB87)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB87) | (~v153(constB87)))),
% 20.92/14.57 inference(rewrite,[status(thm)],[])).
% 20.92/14.57 tff(34949,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB87) | (~v153(constB87)))),
% 20.92/14.57 inference(quant_inst,[status(thm)],[])).
% 20.92/14.57 tff(34950,plain,
% 20.92/14.57 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB87) | (~v153(constB87))),
% 20.92/14.57 inference(modus_ponens,[status(thm)],[34949, 34948])).
% 20.92/14.57 tff(34951,plain,
% 20.92/14.57 (~v153(constB87)),
% 20.92/14.57 inference(unit_resolution,[status(thm)],[34950, 22510, 34947])).
% 20.92/14.58 tff(34952,plain,
% 20.92/14.58 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB87)) | (~v155(constB87)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB87)) | (~v155(constB87)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34953,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB87)) | (~v155(constB87)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34954,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB87)) | (~v155(constB87))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34953, 34952])).
% 20.92/14.58 tff(34955,plain,
% 20.92/14.58 (~v155(constB87)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34954, 22552, 27642])).
% 20.92/14.58 tff(34956,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB87) | v155(constB87) | (~v150(constB87)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB87) | v155(constB87) | (~v150(constB87)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34957,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB87) | v155(constB87) | (~v150(constB87)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34958,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB87) | v155(constB87) | (~v150(constB87))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34957, 34956])).
% 20.92/14.58 tff(34959,plain,
% 20.92/14.58 (v153(constB87) | (~v150(constB87))),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34958, 22566, 34955])).
% 20.92/14.58 tff(34960,plain,
% 20.92/14.58 (~v150(constB87)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34959, 34951])).
% 20.92/14.58 tff(34961,plain,
% 20.92/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34962,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34963,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34962, 34961])).
% 20.92/14.58 tff(34964,plain,
% 20.92/14.58 (v150(constB87) | (~v152(constB88))),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34963, 22581, 11435])).
% 20.92/14.58 tff(34965,plain,
% 20.92/14.58 (~v152(constB88)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34964, 34960])).
% 20.92/14.58 tff(34966,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB88) | (~v155(constB88)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB88) | (~v155(constB88)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34967,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB88) | (~v155(constB88)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34968,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB88) | (~v155(constB88))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34967, 34966])).
% 20.92/14.58 tff(34969,plain,
% 20.92/14.58 (~v155(constB88)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34968, 22593, 34965])).
% 20.92/14.58 tff(34970,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB88) | (~v153(constB88)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB88) | (~v153(constB88)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34971,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB88) | (~v153(constB88)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34972,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB88) | (~v153(constB88))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34971, 34970])).
% 20.92/14.58 tff(34973,plain,
% 20.92/14.58 (~v153(constB88)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34972, 22619, 27671])).
% 20.92/14.58 tff(34974,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB88) | v155(constB88) | (~v150(constB88)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB88) | v155(constB88) | (~v150(constB88)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34975,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB88) | v155(constB88) | (~v150(constB88)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34976,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB88) | v155(constB88) | (~v150(constB88))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34975, 34974])).
% 20.92/14.58 tff(34977,plain,
% 20.92/14.58 (v155(constB88) | (~v150(constB88))),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34976, 22566, 34973])).
% 20.92/14.58 tff(34978,plain,
% 20.92/14.58 (~v150(constB88)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34977, 34969])).
% 20.92/14.58 tff(34979,plain,
% 20.92/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34980,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34981,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34980, 34979])).
% 20.92/14.58 tff(34982,plain,
% 20.92/14.58 (v150(constB88) | (~v152(constB89))),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34981, 22581, 11538])).
% 20.92/14.58 tff(34983,plain,
% 20.92/14.58 (~v152(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34982, 34978])).
% 20.92/14.58 tff(34984,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB89) | (~v164(constB89)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB89) | (~v164(constB89)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34985,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB89) | (~v164(constB89)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34986,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB89) | (~v164(constB89))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 20.92/14.58 tff(34987,plain,
% 20.92/14.58 (~v164(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34986, 22640, 34983])).
% 20.92/14.58 tff(34988,assumption,(v18(constB90)), introduced(assumption)).
% 20.92/14.58 tff(34989,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB90))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34990,plain,
% 20.92/14.58 ($false),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34989, 2627, 34988])).
% 20.92/14.58 tff(34991,plain,(~v18(constB90)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.58 tff(34992,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34993,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34994,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 20.92/14.58 tff(34995,plain,
% 20.92/14.58 (v22(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34994, 2640, 12095])).
% 20.92/14.58 tff(34996,plain,
% 20.92/14.58 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB90)) | (~v22(constB90)) | v18(constB90))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB90)) | (~v22(constB90)) | v18(constB90))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(34997,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB90)) | (~v22(constB90)) | v18(constB90))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(34998,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB90)) | (~v22(constB90)) | v18(constB90)),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 20.92/14.58 tff(34999,plain,
% 20.92/14.58 ((~v19(constB90)) | v18(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34998, 2654, 34995])).
% 20.92/14.58 tff(35000,plain,
% 20.92/14.58 (~v19(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[34999, 34991])).
% 20.92/14.58 tff(35001,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35002,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35003,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90)),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35002, 35001])).
% 20.92/14.58 tff(35004,plain,
% 20.92/14.58 (v13(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35003, 2669, 35000])).
% 20.92/14.58 tff(35005,plain,
% 20.92/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35006,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35007,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB89, constB90)) | (~v13(constB90)) | v9(constB89)),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35006, 35005])).
% 20.92/14.58 tff(35008,plain,
% 20.92/14.58 ((~v13(constB90)) | v9(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35007, 2686, 12075])).
% 20.92/14.58 tff(35009,plain,
% 20.92/14.58 (v9(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35008, 35004])).
% 20.92/14.58 tff(35010,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v141(constB89))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB89) | (~v9(constB89)) | v141(constB89))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35011,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v141(constB89))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35012,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB89) | (~v9(constB89)) | v141(constB89)),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35011, 35010])).
% 20.92/14.58 tff(35013,plain,
% 20.92/14.58 ((~v9(constB89)) | v141(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35012, 22396, 11535])).
% 20.92/14.58 tff(35014,plain,
% 20.92/14.58 (v141(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35013, 35009])).
% 20.92/14.58 tff(35015,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB89) | (~v141(constB89)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB89) | (~v141(constB89)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35016,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB89) | (~v141(constB89)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35017,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB89) | (~v141(constB89))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35016, 35015])).
% 20.92/14.58 tff(35018,plain,
% 20.92/14.58 (v140(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35017, 22408, 35014])).
% 20.92/14.58 tff(35019,plain,
% 20.92/14.58 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB89)) | (~v163(constB89)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB89)) | (~v163(constB89)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35020,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB89)) | (~v163(constB89)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35021,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB89)) | (~v163(constB89))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35020, 35019])).
% 20.92/14.58 tff(35022,plain,
% 20.92/14.58 (~v163(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35021, 22781, 35018])).
% 20.92/14.58 tff(35023,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB89)) | v163(constB89) | v164(constB89))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB89)) | v163(constB89) | v164(constB89))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35024,plain,
% 20.92/14.58 ((v164(constB89) | v163(constB89) | (~v160(constB89))) <=> ((~v160(constB89)) | v163(constB89) | v164(constB89))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35025,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB89) | v163(constB89) | (~v160(constB89)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB89)) | v163(constB89) | v164(constB89)))),
% 20.92/14.58 inference(monotonicity,[status(thm)],[35024])).
% 20.92/14.58 tff(35026,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB89) | v163(constB89) | (~v160(constB89)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB89)) | v163(constB89) | v164(constB89))),
% 20.92/14.58 inference(transitivity,[status(thm)],[35025, 35023])).
% 20.92/14.58 tff(35027,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB89) | v163(constB89) | (~v160(constB89)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35028,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB89)) | v163(constB89) | v164(constB89)),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35027, 35026])).
% 20.92/14.58 tff(35029,plain,
% 20.92/14.58 ((~v160(constB89)) | v164(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35028, 22795, 35022])).
% 20.92/14.58 tff(35030,plain,
% 20.92/14.58 (~v160(constB89)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35029, 34987])).
% 20.92/14.58 tff(35031,plain,
% 20.92/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35032,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35033,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35032, 35031])).
% 20.92/14.58 tff(35034,plain,
% 20.92/14.58 (v160(constB89) | (~v162(constB90))),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35033, 22813, 12075])).
% 20.92/14.58 tff(35035,plain,
% 20.92/14.58 (~v162(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35034, 35030])).
% 20.92/14.58 tff(35036,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB90) | (~v163(constB90)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB90) | (~v163(constB90)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35037,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB90) | (~v163(constB90)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35038,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB90) | (~v163(constB90))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35037, 35036])).
% 20.92/14.58 tff(35039,plain,
% 20.92/14.58 (~v163(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35038, 22825, 35035])).
% 20.92/14.58 tff(35040,plain,
% 20.92/14.58 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB90)) | (~v141(constB90)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB90)) | (~v141(constB90)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35041,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB90)) | (~v141(constB90)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35042,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB90)) | (~v141(constB90))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35041, 35040])).
% 20.92/14.58 tff(35043,plain,
% 20.92/14.58 (~v141(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35042, 22474, 12095])).
% 20.92/14.58 tff(35044,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB90) | (~v154(constB90)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB90) | (~v154(constB90)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35045,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB90) | (~v154(constB90)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35046,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB90) | (~v154(constB90))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35045, 35044])).
% 20.92/14.58 tff(35047,plain,
% 20.92/14.58 (~v154(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35046, 22608, 35043])).
% 20.92/14.58 tff(35048,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB90) | (~v164(constB90)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB90) | (~v164(constB90)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35049,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB90) | (~v164(constB90)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35050,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB90) | (~v164(constB90))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35049, 35048])).
% 20.92/14.58 tff(35051,plain,
% 20.92/14.58 (~v164(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35050, 22836, 35047])).
% 20.92/14.58 tff(35052,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB90)) | v164(constB90) | v163(constB90))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB90)) | v164(constB90) | v163(constB90))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35053,plain,
% 20.92/14.58 ((v164(constB90) | v163(constB90) | (~v160(constB90))) <=> ((~v160(constB90)) | v164(constB90) | v163(constB90))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35054,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB90) | v163(constB90) | (~v160(constB90)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB90)) | v164(constB90) | v163(constB90)))),
% 20.92/14.58 inference(monotonicity,[status(thm)],[35053])).
% 20.92/14.58 tff(35055,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB90) | v163(constB90) | (~v160(constB90)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB90)) | v164(constB90) | v163(constB90))),
% 20.92/14.58 inference(transitivity,[status(thm)],[35054, 35052])).
% 20.92/14.58 tff(35056,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB90) | v163(constB90) | (~v160(constB90)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35057,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB90)) | v164(constB90) | v163(constB90)),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35056, 35055])).
% 20.92/14.58 tff(35058,plain,
% 20.92/14.58 ((~v160(constB90)) | v163(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35057, 22795, 35051])).
% 20.92/14.58 tff(35059,plain,
% 20.92/14.58 (~v160(constB90)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35058, 35039])).
% 20.92/14.58 tff(35060,plain,
% 20.92/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35061,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35062,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35061, 35060])).
% 20.92/14.58 tff(35063,plain,
% 20.92/14.58 (v160(constB90) | (~v162(constB91))),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35062, 22813, 12140])).
% 20.92/14.58 tff(35064,plain,
% 20.92/14.58 (~v162(constB91)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35063, 35059])).
% 20.92/14.58 tff(35065,plain,
% 20.92/14.58 ($false),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35064, 34900])).
% 20.92/14.58 tff(35066,plain,(~(constB91 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 20.92/14.58 tff(35067,assumption,(constB53 = sK0_VarCurr), introduced(assumption)).
% 20.92/14.58 tff(35068,plain,
% 20.92/14.58 (v162(constB53) <=> v162(sK0_VarCurr)),
% 20.92/14.58 inference(monotonicity,[status(thm)],[35067])).
% 20.92/14.58 tff(35069,plain,
% 20.92/14.58 (v162(sK0_VarCurr) <=> v162(constB53)),
% 20.92/14.58 inference(symmetry,[status(thm)],[35068])).
% 20.92/14.58 tff(35070,plain,
% 20.92/14.58 (v162(constB53)),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[22337, 35069])).
% 20.92/14.58 tff(35071,plain,
% 20.92/14.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB47, bitIndex2)) | (~v145(constB47)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB47, bitIndex2)) | (~v145(constB47)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35072,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB47, bitIndex2)) | (~v145(constB47)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35073,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB47, bitIndex2)) | (~v145(constB47))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35072, 35071])).
% 20.92/14.58 tff(35074,plain,
% 20.92/14.58 (~v145(constB47)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35073, 10327, 5587])).
% 20.92/14.58 tff(35075,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB47) | (~v144(constB47)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB47) | (~v144(constB47)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35076,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB47) | (~v144(constB47)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35077,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB47) | (~v144(constB47))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35076, 35075])).
% 20.92/14.58 tff(35078,plain,
% 20.92/14.58 (~v144(constB47)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35077, 22349, 35074])).
% 20.92/14.58 tff(35079,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB47) | (~v142(constB47)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB47) | (~v142(constB47)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35080,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB47) | (~v142(constB47)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35081,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB47) | (~v142(constB47))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35080, 35079])).
% 20.92/14.58 tff(35082,plain,
% 20.92/14.58 (~v142(constB47)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35081, 22360, 35078])).
% 20.92/14.58 tff(35083,plain,
% 20.92/14.58 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB47)) | (~v140(constB47)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB47)) | (~v140(constB47)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35084,plain,
% 20.92/14.58 (((~v140(constB47)) | (~v138(constB47))) <=> ((~v138(constB47)) | (~v140(constB47)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35085,plain,
% 20.92/14.58 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB47)) | (~v138(constB47)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB47)) | (~v140(constB47))))),
% 20.92/14.58 inference(monotonicity,[status(thm)],[35084])).
% 20.92/14.58 tff(35086,plain,
% 20.92/14.58 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB47)) | (~v138(constB47)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB47)) | (~v140(constB47)))),
% 20.92/14.58 inference(transitivity,[status(thm)],[35085, 35083])).
% 20.92/14.58 tff(35087,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB47)) | (~v138(constB47)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35088,plain,
% 20.92/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB47)) | (~v140(constB47))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35087, 35086])).
% 20.92/14.58 tff(35089,plain,
% 20.92/14.58 (~v138(constB47)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35088, 22419, 30665])).
% 20.92/14.58 tff(35090,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB47) | v142(constB47) | (~v135(constB47)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB47) | v142(constB47) | (~v135(constB47)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35091,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB47) | v142(constB47) | (~v135(constB47)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35092,plain,
% 20.92/14.58 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB47) | v142(constB47) | (~v135(constB47))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35091, 35090])).
% 20.92/14.58 tff(35093,plain,
% 20.92/14.58 (v142(constB47) | (~v135(constB47))),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35092, 22436, 35089])).
% 20.92/14.58 tff(35094,plain,
% 20.92/14.58 (~v135(constB47)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35093, 35082])).
% 20.92/14.58 tff(35095,plain,
% 20.92/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB47, constB48)) | v135(constB47) | (~v137(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB47, constB48)) | v135(constB47) | (~v137(constB48)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 20.92/14.58 tff(35096,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB47, constB48)) | v135(constB47) | (~v137(constB48)))),
% 20.92/14.58 inference(quant_inst,[status(thm)],[])).
% 20.92/14.58 tff(35097,plain,
% 20.92/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB47, constB48)) | v135(constB47) | (~v137(constB48))),
% 20.92/14.58 inference(modus_ponens,[status(thm)],[35096, 35095])).
% 20.92/14.58 tff(35098,plain,
% 20.92/14.58 (v135(constB47) | (~v137(constB48))),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35097, 22451, 5680])).
% 20.92/14.58 tff(35099,plain,
% 20.92/14.58 (~v137(constB48)),
% 20.92/14.58 inference(unit_resolution,[status(thm)],[35098, 35094])).
% 20.92/14.58 tff(35100,plain,
% 20.92/14.58 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB48) | (~v138(constB48)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB48) | (~v138(constB48)))),
% 20.92/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35101,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB48) | (~v138(constB48)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35102,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB48) | (~v138(constB48))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35101, 35100])).
% 21.01/14.58 tff(35103,plain,
% 21.01/14.58 (~v138(constB48)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35102, 22463, 35099])).
% 21.01/14.58 tff(35104,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB48) | (~v144(constB48)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB48) | (~v144(constB48)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35105,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB48) | (~v144(constB48)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35106,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB48) | (~v144(constB48))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35105, 35104])).
% 21.01/14.58 tff(35107,plain,
% 21.01/14.58 (~v144(constB48)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35106, 22485, 30690])).
% 21.01/14.58 tff(35108,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB48) | (~v142(constB48)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB48) | (~v142(constB48)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35109,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB48) | (~v142(constB48)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35110,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB48) | (~v142(constB48))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35109, 35108])).
% 21.01/14.58 tff(35111,plain,
% 21.01/14.58 (~v142(constB48)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35110, 22360, 35107])).
% 21.01/14.58 tff(35112,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB48) | v142(constB48) | (~v135(constB48)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB48) | v142(constB48) | (~v135(constB48)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35113,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB48) | v142(constB48) | (~v135(constB48)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35114,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB48) | v142(constB48) | (~v135(constB48))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35113, 35112])).
% 21.01/14.58 tff(35115,plain,
% 21.01/14.58 (v138(constB48) | (~v135(constB48))),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35114, 22436, 35111])).
% 21.01/14.58 tff(35116,plain,
% 21.01/14.58 (~v135(constB48)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35115, 35103])).
% 21.01/14.58 tff(35117,plain,
% 21.01/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB48, constB49)) | v135(constB48) | (~v137(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB48, constB49)) | v135(constB48) | (~v137(constB49)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35118,plain,
% 21.01/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB48, constB49)) | v135(constB48) | (~v137(constB49)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35119,plain,
% 21.01/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB48, constB49)) | v135(constB48) | (~v137(constB49))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35118, 35117])).
% 21.01/14.58 tff(35120,plain,
% 21.01/14.58 (v135(constB48) | (~v137(constB49))),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35119, 22451, 5742])).
% 21.01/14.58 tff(35121,plain,
% 21.01/14.58 (~v137(constB49)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35120, 35116])).
% 21.01/14.58 tff(35122,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB49) | (~v153(constB49)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB49) | (~v153(constB49)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35123,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB49) | (~v153(constB49)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35124,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB49) | (~v153(constB49))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35123, 35122])).
% 21.01/14.58 tff(35125,plain,
% 21.01/14.58 (~v153(constB49)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35124, 22510, 35121])).
% 21.01/14.58 tff(35126,plain,
% 21.01/14.58 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB49)) | (~v155(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB49)) | (~v155(constB49)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35127,plain,
% 21.01/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB49)) | (~v155(constB49)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35128,plain,
% 21.01/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB49)) | (~v155(constB49))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35127, 35126])).
% 21.01/14.58 tff(35129,plain,
% 21.01/14.58 (~v155(constB49)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35128, 22552, 23262])).
% 21.01/14.58 tff(35130,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB49) | v155(constB49) | (~v150(constB49)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB49) | v155(constB49) | (~v150(constB49)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35131,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB49) | v155(constB49) | (~v150(constB49)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35132,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB49) | v155(constB49) | (~v150(constB49))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35131, 35130])).
% 21.01/14.58 tff(35133,plain,
% 21.01/14.58 (v153(constB49) | (~v150(constB49))),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35132, 22566, 35129])).
% 21.01/14.58 tff(35134,plain,
% 21.01/14.58 (~v150(constB49)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35133, 35125])).
% 21.01/14.58 tff(35135,plain,
% 21.01/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB49, constB50)) | v150(constB49) | (~v152(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB49, constB50)) | v150(constB49) | (~v152(constB50)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35136,plain,
% 21.01/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB49, constB50)) | v150(constB49) | (~v152(constB50)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35137,plain,
% 21.01/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB49, constB50)) | v150(constB49) | (~v152(constB50))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35136, 35135])).
% 21.01/14.58 tff(35138,plain,
% 21.01/14.58 (v150(constB49) | (~v152(constB50))),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35137, 22581, 5852])).
% 21.01/14.58 tff(35139,plain,
% 21.01/14.58 (~v152(constB50)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35138, 35134])).
% 21.01/14.58 tff(35140,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB50) | (~v155(constB50)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB50) | (~v155(constB50)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35141,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB50) | (~v155(constB50)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35142,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB50) | (~v155(constB50))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35141, 35140])).
% 21.01/14.58 tff(35143,plain,
% 21.01/14.58 (~v155(constB50)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35142, 22593, 35139])).
% 21.01/14.58 tff(35144,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB50) | (~v154(constB50)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB50) | (~v154(constB50)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35145,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB50) | (~v154(constB50)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35146,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB50) | (~v154(constB50))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35145, 35144])).
% 21.01/14.58 tff(35147,plain,
% 21.01/14.58 (~v154(constB50)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35146, 22608, 23287])).
% 21.01/14.58 tff(35148,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB50) | (~v153(constB50)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB50) | (~v153(constB50)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35149,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB50) | (~v153(constB50)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35150,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB50) | (~v153(constB50))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35149, 35148])).
% 21.01/14.58 tff(35151,plain,
% 21.01/14.58 (~v153(constB50)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35150, 22619, 35147])).
% 21.01/14.58 tff(35152,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB50) | v155(constB50) | (~v150(constB50)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB50) | v155(constB50) | (~v150(constB50)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35153,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB50) | v155(constB50) | (~v150(constB50)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35154,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB50) | v155(constB50) | (~v150(constB50))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35153, 35152])).
% 21.01/14.58 tff(35155,plain,
% 21.01/14.58 (v155(constB50) | (~v150(constB50))),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35154, 22566, 35151])).
% 21.01/14.58 tff(35156,plain,
% 21.01/14.58 (~v150(constB50)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35155, 35143])).
% 21.01/14.58 tff(35157,plain,
% 21.01/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB50, constB51)) | v150(constB50) | (~v152(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB50, constB51)) | v150(constB50) | (~v152(constB51)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35158,plain,
% 21.01/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB50, constB51)) | v150(constB50) | (~v152(constB51)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35159,plain,
% 21.01/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB50, constB51)) | v150(constB50) | (~v152(constB51))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35158, 35157])).
% 21.01/14.58 tff(35160,plain,
% 21.01/14.58 (v150(constB50) | (~v152(constB51))),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35159, 22581, 5944])).
% 21.01/14.58 tff(35161,plain,
% 21.01/14.58 (~v152(constB51)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35160, 35156])).
% 21.01/14.58 tff(35162,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB51) | (~v164(constB51)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB51) | (~v164(constB51)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35163,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB51) | (~v164(constB51)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35164,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB51) | (~v164(constB51))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35163, 35162])).
% 21.01/14.58 tff(35165,plain,
% 21.01/14.58 (~v164(constB51)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35164, 22640, 35161])).
% 21.01/14.58 tff(35166,plain,
% 21.01/14.58 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB51)) | (~v163(constB51)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB51)) | (~v163(constB51)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35167,plain,
% 21.01/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB51)) | (~v163(constB51)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35168,plain,
% 21.01/14.58 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB51)) | (~v163(constB51))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35167, 35166])).
% 21.01/14.58 tff(35169,plain,
% 21.01/14.58 (~v163(constB51)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35168, 22781, 23340])).
% 21.01/14.58 tff(35170,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB51)) | v164(constB51) | v163(constB51))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB51)) | v164(constB51) | v163(constB51))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35171,plain,
% 21.01/14.58 ((v164(constB51) | v163(constB51) | (~v160(constB51))) <=> ((~v160(constB51)) | v164(constB51) | v163(constB51))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35172,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB51) | v163(constB51) | (~v160(constB51)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB51)) | v164(constB51) | v163(constB51)))),
% 21.01/14.58 inference(monotonicity,[status(thm)],[35171])).
% 21.01/14.58 tff(35173,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB51) | v163(constB51) | (~v160(constB51)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB51)) | v164(constB51) | v163(constB51))),
% 21.01/14.58 inference(transitivity,[status(thm)],[35172, 35170])).
% 21.01/14.58 tff(35174,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB51) | v163(constB51) | (~v160(constB51)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35175,plain,
% 21.01/14.58 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB51)) | v164(constB51) | v163(constB51)),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35174, 35173])).
% 21.01/14.58 tff(35176,plain,
% 21.01/14.58 ((~v160(constB51)) | v164(constB51)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35175, 22795, 35169])).
% 21.01/14.58 tff(35177,plain,
% 21.01/14.58 (~v160(constB51)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35176, 35165])).
% 21.01/14.58 tff(35178,plain,
% 21.01/14.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB51, constB52)) | v160(constB51) | (~v162(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB51, constB52)) | v160(constB51) | (~v162(constB52)))),
% 21.01/14.58 inference(rewrite,[status(thm)],[])).
% 21.01/14.58 tff(35179,plain,
% 21.01/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB51, constB52)) | v160(constB51) | (~v162(constB52)))),
% 21.01/14.58 inference(quant_inst,[status(thm)],[])).
% 21.01/14.58 tff(35180,plain,
% 21.01/14.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB51, constB52)) | v160(constB51) | (~v162(constB52))),
% 21.01/14.58 inference(modus_ponens,[status(thm)],[35179, 35178])).
% 21.01/14.58 tff(35181,plain,
% 21.01/14.58 (v160(constB51) | (~v162(constB52))),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35180, 22813, 6080])).
% 21.01/14.58 tff(35182,plain,
% 21.01/14.58 (~v162(constB52)),
% 21.01/14.58 inference(unit_resolution,[status(thm)],[35181, 35177])).
% 21.01/14.58 tff(35183,plain,
% 21.01/14.58 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB52) | (~v163(constB52)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB52) | (~v163(constB52)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35184,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB52) | (~v163(constB52)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35185,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB52) | (~v163(constB52))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35184, 35183])).
% 21.01/14.59 tff(35186,plain,
% 21.01/14.59 (~v163(constB52)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35185, 22825, 35182])).
% 21.01/14.59 tff(35187,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB52) | (~v164(constB52)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB52) | (~v164(constB52)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35188,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB52) | (~v164(constB52)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35189,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB52) | (~v164(constB52))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35188, 35187])).
% 21.01/14.59 tff(35190,plain,
% 21.01/14.59 (~v164(constB52)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35189, 22836, 23366])).
% 21.01/14.59 tff(35191,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB52)) | v164(constB52) | v163(constB52))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB52)) | v164(constB52) | v163(constB52))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35192,plain,
% 21.01/14.59 ((v164(constB52) | v163(constB52) | (~v160(constB52))) <=> ((~v160(constB52)) | v164(constB52) | v163(constB52))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35193,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB52) | v163(constB52) | (~v160(constB52)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB52)) | v164(constB52) | v163(constB52)))),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35192])).
% 21.01/14.59 tff(35194,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB52) | v163(constB52) | (~v160(constB52)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB52)) | v164(constB52) | v163(constB52))),
% 21.01/14.59 inference(transitivity,[status(thm)],[35193, 35191])).
% 21.01/14.59 tff(35195,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB52) | v163(constB52) | (~v160(constB52)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35196,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB52)) | v164(constB52) | v163(constB52)),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35195, 35194])).
% 21.01/14.59 tff(35197,plain,
% 21.01/14.59 ((~v160(constB52)) | v163(constB52)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35196, 22795, 35190])).
% 21.01/14.59 tff(35198,plain,
% 21.01/14.59 (~v160(constB52)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35197, 35186])).
% 21.01/14.59 tff(35199,plain,
% 21.01/14.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB52, constB53)) | v160(constB52) | (~v162(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB52, constB53)) | v160(constB52) | (~v162(constB53)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35200,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB52, constB53)) | v160(constB52) | (~v162(constB53)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35201,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB52, constB53)) | v160(constB52) | (~v162(constB53))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35200, 35199])).
% 21.01/14.59 tff(35202,plain,
% 21.01/14.59 (v160(constB52) | (~v162(constB53))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35201, 22813, 6145])).
% 21.01/14.59 tff(35203,plain,
% 21.01/14.59 (~v162(constB53)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35202, 35198])).
% 21.01/14.59 tff(35204,plain,
% 21.01/14.59 ($false),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35203, 35070])).
% 21.01/14.59 tff(35205,plain,(~(constB53 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.59 tff(35206,assumption,(constB95 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.59 tff(35207,plain,
% 21.01/14.59 (v162(constB95) <=> v162(sK0_VarCurr)),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35206])).
% 21.01/14.59 tff(35208,plain,
% 21.01/14.59 (v162(sK0_VarCurr) <=> v162(constB95)),
% 21.01/14.59 inference(symmetry,[status(thm)],[35207])).
% 21.01/14.59 tff(35209,plain,
% 21.01/14.59 (v162(constB95)),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[22337, 35208])).
% 21.01/14.59 tff(35210,plain,
% 21.01/14.59 (v124(constB87, bitIndex1)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[11966, 790, 11507])).
% 21.01/14.59 tff(35211,plain,
% 21.01/14.59 (v121(constB87, bitIndex1)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[11957, 35210])).
% 21.01/14.59 tff(35212,plain,
% 21.01/14.59 (v123(constB88, bitIndex1)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[11952, 35211])).
% 21.01/14.59 tff(35213,plain,
% 21.01/14.59 (v84(constB88, bitIndex1) | (~v94(constB88))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[11946, 834, 35212])).
% 21.01/14.59 tff(35214,plain,
% 21.01/14.59 (v84(constB88, bitIndex1)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35213, 11469])).
% 21.01/14.59 tff(35215,plain,
% 21.01/14.59 (v84(constB89, bitIndex1)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[11757, 35214])).
% 21.01/14.59 tff(35216,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB89, bitIndex1)) | (~v145(constB89)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35217,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v145(constB89)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35218,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB89, bitIndex1)) | (~v145(constB89))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35217, 35216])).
% 21.01/14.59 tff(35219,plain,
% 21.01/14.59 (~v145(constB89)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35218, 2012, 35215])).
% 21.01/14.59 tff(35220,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB89) | (~v144(constB89)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB89) | (~v144(constB89)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35221,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB89) | (~v144(constB89)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35222,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB89) | (~v144(constB89))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35221, 35220])).
% 21.01/14.59 tff(35223,plain,
% 21.01/14.59 (~v144(constB89)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35222, 22349, 35219])).
% 21.01/14.59 tff(35224,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB89) | (~v142(constB89)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB89) | (~v142(constB89)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35225,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB89) | (~v142(constB89)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35226,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB89) | (~v142(constB89))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35225, 35224])).
% 21.01/14.59 tff(35227,plain,
% 21.01/14.59 (~v142(constB89)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35226, 22360, 35223])).
% 21.01/14.59 tff(35228,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB89)) | (~v140(constB89)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB89)) | (~v140(constB89)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35229,plain,
% 21.01/14.59 (((~v140(constB89)) | (~v138(constB89))) <=> ((~v138(constB89)) | (~v140(constB89)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35230,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB89)) | (~v138(constB89)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB89)) | (~v140(constB89))))),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35229])).
% 21.01/14.59 tff(35231,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB89)) | (~v138(constB89)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB89)) | (~v140(constB89)))),
% 21.01/14.59 inference(transitivity,[status(thm)],[35230, 35228])).
% 21.01/14.59 tff(35232,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB89)) | (~v138(constB89)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35233,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB89)) | (~v140(constB89))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35232, 35231])).
% 21.01/14.59 tff(35234,plain,
% 21.01/14.59 (~v138(constB89)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35233, 22419, 35018])).
% 21.01/14.59 tff(35235,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB89) | v142(constB89) | (~v135(constB89)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB89) | v142(constB89) | (~v135(constB89)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35236,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB89) | v142(constB89) | (~v135(constB89)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35237,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB89) | v142(constB89) | (~v135(constB89))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35236, 35235])).
% 21.01/14.59 tff(35238,plain,
% 21.01/14.59 (v142(constB89) | (~v135(constB89))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35237, 22436, 35234])).
% 21.01/14.59 tff(35239,plain,
% 21.01/14.59 (~v135(constB89)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35238, 35227])).
% 21.01/14.59 tff(35240,plain,
% 21.01/14.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35241,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35242,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35241, 35240])).
% 21.01/14.59 tff(35243,plain,
% 21.01/14.59 (v135(constB89) | (~v137(constB90))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35242, 22451, 12075])).
% 21.01/14.59 tff(35244,plain,
% 21.01/14.59 (~v137(constB90)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35243, 35239])).
% 21.01/14.59 tff(35245,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB90) | (~v138(constB90)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB90) | (~v138(constB90)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35246,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB90) | (~v138(constB90)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35247,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB90) | (~v138(constB90))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35246, 35245])).
% 21.01/14.59 tff(35248,plain,
% 21.01/14.59 (~v138(constB90)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35247, 22463, 35244])).
% 21.01/14.59 tff(35249,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB90) | (~v144(constB90)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB90) | (~v144(constB90)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35250,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB90) | (~v144(constB90)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35251,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB90) | (~v144(constB90))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35250, 35249])).
% 21.01/14.59 tff(35252,plain,
% 21.01/14.59 (~v144(constB90)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35251, 22485, 35043])).
% 21.01/14.59 tff(35253,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB90) | (~v142(constB90)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB90) | (~v142(constB90)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35254,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB90) | (~v142(constB90)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35255,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB90) | (~v142(constB90))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35254, 35253])).
% 21.01/14.59 tff(35256,plain,
% 21.01/14.59 (~v142(constB90)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35255, 22360, 35252])).
% 21.01/14.59 tff(35257,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB90) | v142(constB90) | (~v135(constB90)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB90) | v142(constB90) | (~v135(constB90)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35258,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB90) | v142(constB90) | (~v135(constB90)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35259,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB90) | v142(constB90) | (~v135(constB90))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35258, 35257])).
% 21.01/14.59 tff(35260,plain,
% 21.01/14.59 (v138(constB90) | (~v135(constB90))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35259, 22436, 35256])).
% 21.01/14.59 tff(35261,plain,
% 21.01/14.59 (~v135(constB90)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35260, 35248])).
% 21.01/14.59 tff(35262,plain,
% 21.01/14.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35263,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35264,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35263, 35262])).
% 21.01/14.59 tff(35265,plain,
% 21.01/14.59 (v135(constB90) | (~v137(constB91))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35264, 22451, 12140])).
% 21.01/14.59 tff(35266,plain,
% 21.01/14.59 (~v137(constB91)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35265, 35261])).
% 21.01/14.59 tff(35267,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB91) | (~v153(constB91)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB91) | (~v153(constB91)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35268,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB91) | (~v153(constB91)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35269,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB91) | (~v153(constB91))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35268, 35267])).
% 21.01/14.59 tff(35270,plain,
% 21.01/14.59 (~v153(constB91)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35269, 22510, 35266])).
% 21.01/14.59 tff(35271,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB91)) | (~v155(constB91)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB91)) | (~v155(constB91)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35272,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB91)) | (~v155(constB91)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35273,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB91)) | (~v155(constB91))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35272, 35271])).
% 21.01/14.59 tff(35274,plain,
% 21.01/14.59 (~v155(constB91)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35273, 22552, 22687])).
% 21.01/14.59 tff(35275,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB91) | v155(constB91) | (~v150(constB91)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB91) | v155(constB91) | (~v150(constB91)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35276,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB91) | v155(constB91) | (~v150(constB91)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35277,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB91) | v155(constB91) | (~v150(constB91))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35276, 35275])).
% 21.01/14.59 tff(35278,plain,
% 21.01/14.59 (v153(constB91) | (~v150(constB91))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35277, 22566, 35274])).
% 21.01/14.59 tff(35279,plain,
% 21.01/14.59 (~v150(constB91)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35278, 35270])).
% 21.01/14.59 tff(35280,plain,
% 21.01/14.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB91, constB92)) | v150(constB91) | (~v152(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB91, constB92)) | v150(constB91) | (~v152(constB92)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35281,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB91, constB92)) | v150(constB91) | (~v152(constB92)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35282,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB91, constB92)) | v150(constB91) | (~v152(constB92))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35281, 35280])).
% 21.01/14.59 tff(35283,plain,
% 21.01/14.59 (v150(constB91) | (~v152(constB92))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35282, 22581, 12259])).
% 21.01/14.59 tff(35284,plain,
% 21.01/14.59 (~v152(constB92)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35283, 35279])).
% 21.01/14.59 tff(35285,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB92) | (~v155(constB92)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB92) | (~v155(constB92)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35286,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB92) | (~v155(constB92)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35287,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB92) | (~v155(constB92))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35286, 35285])).
% 21.01/14.59 tff(35288,plain,
% 21.01/14.59 (~v155(constB92)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35287, 22593, 35284])).
% 21.01/14.59 tff(35289,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB92) | (~v154(constB92)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB92) | (~v154(constB92)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35290,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB92) | (~v154(constB92)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35291,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB92) | (~v154(constB92))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35290, 35289])).
% 21.01/14.59 tff(35292,plain,
% 21.01/14.59 (~v154(constB92)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35291, 22608, 22712])).
% 21.01/14.59 tff(35293,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB92) | (~v153(constB92)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB92) | (~v153(constB92)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35294,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB92) | (~v153(constB92)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35295,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB92) | (~v153(constB92))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35294, 35293])).
% 21.01/14.59 tff(35296,plain,
% 21.01/14.59 (~v153(constB92)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35295, 22619, 35292])).
% 21.01/14.59 tff(35297,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB92) | v155(constB92) | (~v150(constB92)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB92) | v155(constB92) | (~v150(constB92)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35298,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB92) | v155(constB92) | (~v150(constB92)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35299,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB92) | v155(constB92) | (~v150(constB92))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35298, 35297])).
% 21.01/14.59 tff(35300,plain,
% 21.01/14.59 (v155(constB92) | (~v150(constB92))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35299, 22566, 35296])).
% 21.01/14.59 tff(35301,plain,
% 21.01/14.59 (~v150(constB92)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35300, 35288])).
% 21.01/14.59 tff(35302,plain,
% 21.01/14.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB92, constB93)) | v150(constB92) | (~v152(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB92, constB93)) | v150(constB92) | (~v152(constB93)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35303,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB92, constB93)) | v150(constB92) | (~v152(constB93)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35304,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB92, constB93)) | v150(constB92) | (~v152(constB93))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35303, 35302])).
% 21.01/14.59 tff(35305,plain,
% 21.01/14.59 (v150(constB92) | (~v152(constB93))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35304, 22581, 12321])).
% 21.01/14.59 tff(35306,plain,
% 21.01/14.59 (~v152(constB93)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35305, 35301])).
% 21.01/14.59 tff(35307,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB93) | (~v164(constB93)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB93) | (~v164(constB93)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35308,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB93) | (~v164(constB93)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35309,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB93) | (~v164(constB93))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35308, 35307])).
% 21.01/14.59 tff(35310,plain,
% 21.01/14.59 (~v164(constB93)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35309, 22640, 35306])).
% 21.01/14.59 tff(35311,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB93)) | (~v163(constB93)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB93)) | (~v163(constB93)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35312,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB93)) | (~v163(constB93)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35313,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB93)) | (~v163(constB93))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35312, 35311])).
% 21.01/14.59 tff(35314,plain,
% 21.01/14.59 (~v163(constB93)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35313, 22781, 22412])).
% 21.01/14.59 tff(35315,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB93)) | v163(constB93) | v164(constB93))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB93)) | v163(constB93) | v164(constB93))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35316,plain,
% 21.01/14.59 ((v164(constB93) | v163(constB93) | (~v160(constB93))) <=> ((~v160(constB93)) | v163(constB93) | v164(constB93))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35317,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB93) | v163(constB93) | (~v160(constB93)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB93)) | v163(constB93) | v164(constB93)))),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35316])).
% 21.01/14.59 tff(35318,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB93) | v163(constB93) | (~v160(constB93)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB93)) | v163(constB93) | v164(constB93))),
% 21.01/14.59 inference(transitivity,[status(thm)],[35317, 35315])).
% 21.01/14.59 tff(35319,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB93) | v163(constB93) | (~v160(constB93)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35320,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB93)) | v163(constB93) | v164(constB93)),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35319, 35318])).
% 21.01/14.59 tff(35321,plain,
% 21.01/14.59 ((~v160(constB93)) | v164(constB93)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35320, 22795, 35314])).
% 21.01/14.59 tff(35322,plain,
% 21.01/14.59 (~v160(constB93)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35321, 35310])).
% 21.01/14.59 tff(35323,plain,
% 21.01/14.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB93, constB94)) | v160(constB93) | (~v162(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB93, constB94)) | v160(constB93) | (~v162(constB94)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35324,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB93, constB94)) | v160(constB93) | (~v162(constB94)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35325,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB93, constB94)) | v160(constB93) | (~v162(constB94))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35324, 35323])).
% 21.01/14.59 tff(35326,plain,
% 21.01/14.59 (v160(constB93) | (~v162(constB94))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35325, 22813, 12442])).
% 21.01/14.59 tff(35327,plain,
% 21.01/14.59 (~v162(constB94)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35326, 35322])).
% 21.01/14.59 tff(35328,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB94) | (~v163(constB94)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB94) | (~v163(constB94)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35329,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB94) | (~v163(constB94)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35330,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB94) | (~v163(constB94))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35329, 35328])).
% 21.01/14.59 tff(35331,plain,
% 21.01/14.59 (~v163(constB94)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35330, 22825, 35327])).
% 21.01/14.59 tff(35332,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB94) | (~v164(constB94)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB94) | (~v164(constB94)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35333,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB94) | (~v164(constB94)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35334,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB94) | (~v164(constB94))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35333, 35332])).
% 21.01/14.59 tff(35335,plain,
% 21.01/14.59 (~v164(constB94)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35334, 22836, 22756])).
% 21.01/14.59 tff(35336,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB94)) | v164(constB94) | v163(constB94))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB94)) | v164(constB94) | v163(constB94))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35337,plain,
% 21.01/14.59 ((v164(constB94) | v163(constB94) | (~v160(constB94))) <=> ((~v160(constB94)) | v164(constB94) | v163(constB94))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35338,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB94) | v163(constB94) | (~v160(constB94)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB94)) | v164(constB94) | v163(constB94)))),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35337])).
% 21.01/14.59 tff(35339,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB94) | v163(constB94) | (~v160(constB94)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB94)) | v164(constB94) | v163(constB94))),
% 21.01/14.59 inference(transitivity,[status(thm)],[35338, 35336])).
% 21.01/14.59 tff(35340,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB94) | v163(constB94) | (~v160(constB94)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35341,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB94)) | v164(constB94) | v163(constB94)),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35340, 35339])).
% 21.01/14.59 tff(35342,plain,
% 21.01/14.59 ((~v160(constB94)) | v163(constB94)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35341, 22795, 35335])).
% 21.01/14.59 tff(35343,plain,
% 21.01/14.59 (~v160(constB94)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35342, 35331])).
% 21.01/14.59 tff(35344,plain,
% 21.01/14.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB94, constB95)) | v160(constB94) | (~v162(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB94, constB95)) | v160(constB94) | (~v162(constB95)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35345,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB94, constB95)) | v160(constB94) | (~v162(constB95)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35346,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB94, constB95)) | v160(constB94) | (~v162(constB95))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35345, 35344])).
% 21.01/14.59 tff(35347,plain,
% 21.01/14.59 (v160(constB94) | (~v162(constB95))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35346, 22813, 12504])).
% 21.01/14.59 tff(35348,plain,
% 21.01/14.59 (~v162(constB95)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35347, 35343])).
% 21.01/14.59 tff(35349,plain,
% 21.01/14.59 ($false),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35348, 35209])).
% 21.01/14.59 tff(35350,plain,(~(constB95 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.59 tff(35351,assumption,(constB8 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.59 tff(35352,plain,
% 21.01/14.59 (v1(constB8) <=> v1(sK0_VarCurr)),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35351])).
% 21.01/14.59 tff(35353,plain,
% 21.01/14.59 (v1(sK0_VarCurr) <=> v1(constB8)),
% 21.01/14.59 inference(symmetry,[status(thm)],[35352])).
% 21.01/14.59 tff(35354,plain,
% 21.01/14.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB8))),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35353])).
% 21.01/14.59 tff(35355,plain,
% 21.01/14.59 (~v1(constB8)),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[23510, 35354])).
% 21.01/14.59 tff(35356,plain,
% 21.01/14.59 ($false),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[1235, 35355])).
% 21.01/14.59 tff(35357,plain,(~(constB8 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.59 tff(35358,assumption,(constB183 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.59 tff(35359,plain,
% 21.01/14.59 (v162(constB183) <=> v162(sK0_VarCurr)),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35358])).
% 21.01/14.59 tff(35360,plain,
% 21.01/14.59 (v162(sK0_VarCurr) <=> v162(constB183)),
% 21.01/14.59 inference(symmetry,[status(thm)],[35359])).
% 21.01/14.59 tff(35361,plain,
% 21.01/14.59 (v162(constB183)),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[22337, 35360])).
% 21.01/14.59 tff(35362,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB177, bitIndex2)) | (~v145(constB177)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB177, bitIndex2)) | (~v145(constB177)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35363,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB177, bitIndex2)) | (~v145(constB177)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35364,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB177, bitIndex2)) | (~v145(constB177))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35363, 35362])).
% 21.01/14.59 tff(35365,plain,
% 21.01/14.59 (~v145(constB177)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35364, 10327, 21004])).
% 21.01/14.59 tff(35366,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB177) | (~v144(constB177)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB177) | (~v144(constB177)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35367,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB177) | (~v144(constB177)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35368,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB177) | (~v144(constB177))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35367, 35366])).
% 21.01/14.59 tff(35369,plain,
% 21.01/14.59 (~v144(constB177)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35368, 22349, 35365])).
% 21.01/14.59 tff(35370,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB177) | (~v142(constB177)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB177) | (~v142(constB177)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35371,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB177) | (~v142(constB177)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35372,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB177) | (~v142(constB177))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35371, 35370])).
% 21.01/14.59 tff(35373,plain,
% 21.01/14.59 (~v142(constB177)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35372, 22360, 35369])).
% 21.01/14.59 tff(35374,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB177)) | (~v140(constB177)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB177)) | (~v140(constB177)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35375,plain,
% 21.01/14.59 (((~v140(constB177)) | (~v138(constB177))) <=> ((~v138(constB177)) | (~v140(constB177)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35376,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB177)) | (~v138(constB177)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB177)) | (~v140(constB177))))),
% 21.01/14.59 inference(monotonicity,[status(thm)],[35375])).
% 21.01/14.59 tff(35377,plain,
% 21.01/14.59 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB177)) | (~v138(constB177)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB177)) | (~v140(constB177)))),
% 21.01/14.59 inference(transitivity,[status(thm)],[35376, 35374])).
% 21.01/14.59 tff(35378,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB177)) | (~v138(constB177)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35379,plain,
% 21.01/14.59 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB177)) | (~v140(constB177))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35378, 35377])).
% 21.01/14.59 tff(35380,plain,
% 21.01/14.59 (~v138(constB177)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35379, 22419, 31216])).
% 21.01/14.59 tff(35381,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB177) | v142(constB177) | (~v135(constB177)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB177) | v142(constB177) | (~v135(constB177)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35382,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB177) | v142(constB177) | (~v135(constB177)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35383,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB177) | v142(constB177) | (~v135(constB177))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35382, 35381])).
% 21.01/14.59 tff(35384,plain,
% 21.01/14.59 (v142(constB177) | (~v135(constB177))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35383, 22436, 35380])).
% 21.01/14.59 tff(35385,plain,
% 21.01/14.59 (~v135(constB177)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35384, 35373])).
% 21.01/14.59 tff(35386,plain,
% 21.01/14.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB177, constB178)) | v135(constB177) | (~v137(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB177, constB178)) | v135(constB177) | (~v137(constB178)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35387,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB177, constB178)) | v135(constB177) | (~v137(constB178)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35388,plain,
% 21.01/14.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB177, constB178)) | v135(constB177) | (~v137(constB178))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35387, 35386])).
% 21.01/14.59 tff(35389,plain,
% 21.01/14.59 (v135(constB177) | (~v137(constB178))),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35388, 22451, 21107])).
% 21.01/14.59 tff(35390,plain,
% 21.01/14.59 (~v137(constB178)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35389, 35385])).
% 21.01/14.59 tff(35391,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB178) | (~v138(constB178)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB178) | (~v138(constB178)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35392,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB178) | (~v138(constB178)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35393,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB178) | (~v138(constB178))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35392, 35391])).
% 21.01/14.59 tff(35394,plain,
% 21.01/14.59 (~v138(constB178)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35393, 22463, 35390])).
% 21.01/14.59 tff(35395,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB178) | (~v144(constB178)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB178) | (~v144(constB178)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35396,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB178) | (~v144(constB178)))),
% 21.01/14.59 inference(quant_inst,[status(thm)],[])).
% 21.01/14.59 tff(35397,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB178) | (~v144(constB178))),
% 21.01/14.59 inference(modus_ponens,[status(thm)],[35396, 35395])).
% 21.01/14.59 tff(35398,plain,
% 21.01/14.59 (~v144(constB178)),
% 21.01/14.59 inference(unit_resolution,[status(thm)],[35397, 22485, 31238])).
% 21.01/14.59 tff(35399,plain,
% 21.01/14.59 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB178) | (~v142(constB178)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB178) | (~v142(constB178)))),
% 21.01/14.59 inference(rewrite,[status(thm)],[])).
% 21.01/14.59 tff(35400,plain,
% 21.01/14.59 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB178) | (~v142(constB178)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35401,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB178) | (~v142(constB178))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35400, 35399])).
% 21.01/14.60 tff(35402,plain,
% 21.01/14.60 (~v142(constB178)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35401, 22360, 35398])).
% 21.01/14.60 tff(35403,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB178) | v142(constB178) | (~v135(constB178)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB178) | v142(constB178) | (~v135(constB178)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35404,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB178) | v142(constB178) | (~v135(constB178)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35405,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB178) | v142(constB178) | (~v135(constB178))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35404, 35403])).
% 21.01/14.60 tff(35406,plain,
% 21.01/14.60 (v138(constB178) | (~v135(constB178))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35405, 22436, 35402])).
% 21.01/14.60 tff(35407,plain,
% 21.01/14.60 (~v135(constB178)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35406, 35394])).
% 21.01/14.60 tff(35408,plain,
% 21.01/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB178, constB179)) | v135(constB178) | (~v137(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB178, constB179)) | v135(constB178) | (~v137(constB179)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35409,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB178, constB179)) | v135(constB178) | (~v137(constB179)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35410,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB178, constB179)) | v135(constB178) | (~v137(constB179))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35409, 35408])).
% 21.01/14.60 tff(35411,plain,
% 21.01/14.60 (v135(constB178) | (~v137(constB179))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35410, 22451, 21169])).
% 21.01/14.60 tff(35412,plain,
% 21.01/14.60 (~v137(constB179)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35411, 35407])).
% 21.01/14.60 tff(35413,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB179) | (~v153(constB179)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB179) | (~v153(constB179)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35414,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB179) | (~v153(constB179)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35415,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB179) | (~v153(constB179))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35414, 35413])).
% 21.01/14.60 tff(35416,plain,
% 21.01/14.60 (~v153(constB179)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35415, 22510, 35412])).
% 21.01/14.60 tff(35417,plain,
% 21.01/14.60 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB179)) | (~v155(constB179)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB179)) | (~v155(constB179)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35418,plain,
% 21.01/14.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB179)) | (~v155(constB179)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35419,plain,
% 21.01/14.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB179)) | (~v155(constB179))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35418, 35417])).
% 21.01/14.60 tff(35420,plain,
% 21.01/14.60 (~v155(constB179)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35419, 22552, 31291])).
% 21.01/14.60 tff(35421,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB179) | v155(constB179) | (~v150(constB179)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB179) | v155(constB179) | (~v150(constB179)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35422,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB179) | v155(constB179) | (~v150(constB179)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35423,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB179) | v155(constB179) | (~v150(constB179))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35422, 35421])).
% 21.01/14.60 tff(35424,plain,
% 21.01/14.60 (v153(constB179) | (~v150(constB179))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35423, 22566, 35420])).
% 21.01/14.60 tff(35425,plain,
% 21.01/14.60 (~v150(constB179)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35424, 35416])).
% 21.01/14.60 tff(35426,plain,
% 21.01/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB179, constB180)) | v150(constB179) | (~v152(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB179, constB180)) | v150(constB179) | (~v152(constB180)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35427,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB179, constB180)) | v150(constB179) | (~v152(constB180)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35428,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB179, constB180)) | v150(constB179) | (~v152(constB180))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35427, 35426])).
% 21.01/14.60 tff(35429,plain,
% 21.01/14.60 (v150(constB179) | (~v152(constB180))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35428, 22581, 21323])).
% 21.01/14.60 tff(35430,plain,
% 21.01/14.60 (~v152(constB180)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35429, 35425])).
% 21.01/14.60 tff(35431,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB180) | (~v155(constB180)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB180) | (~v155(constB180)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35432,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB180) | (~v155(constB180)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35433,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB180) | (~v155(constB180))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35432, 35431])).
% 21.01/14.60 tff(35434,plain,
% 21.01/14.60 (~v155(constB180)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35433, 22593, 35430])).
% 21.01/14.60 tff(35435,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB180) | (~v153(constB180)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB180) | (~v153(constB180)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35436,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB180) | (~v153(constB180)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35437,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB180) | (~v153(constB180))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35436, 35435])).
% 21.01/14.60 tff(35438,plain,
% 21.01/14.60 (~v153(constB180)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35437, 22619, 31320])).
% 21.01/14.60 tff(35439,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB180) | v155(constB180) | (~v150(constB180)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB180) | v155(constB180) | (~v150(constB180)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35440,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB180) | v155(constB180) | (~v150(constB180)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35441,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB180) | v155(constB180) | (~v150(constB180))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35440, 35439])).
% 21.01/14.60 tff(35442,plain,
% 21.01/14.60 (v155(constB180) | (~v150(constB180))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35441, 22566, 35438])).
% 21.01/14.60 tff(35443,plain,
% 21.01/14.60 (~v150(constB180)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35442, 35434])).
% 21.01/14.60 tff(35444,plain,
% 21.01/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB180, constB181)) | v150(constB180) | (~v152(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB180, constB181)) | v150(constB180) | (~v152(constB181)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35445,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB180, constB181)) | v150(constB180) | (~v152(constB181)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35446,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB180, constB181)) | v150(constB180) | (~v152(constB181))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35445, 35444])).
% 21.01/14.60 tff(35447,plain,
% 21.01/14.60 (v150(constB180) | (~v152(constB181))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35446, 22581, 21385])).
% 21.01/14.60 tff(35448,plain,
% 21.01/14.60 (~v152(constB181)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35447, 35443])).
% 21.01/14.60 tff(35449,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB181) | (~v164(constB181)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB181) | (~v164(constB181)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35450,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB181) | (~v164(constB181)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35451,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB181) | (~v164(constB181))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35450, 35449])).
% 21.01/14.60 tff(35452,plain,
% 21.01/14.60 (~v164(constB181)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35451, 22640, 35448])).
% 21.01/14.60 tff(35453,plain,
% 21.01/14.60 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB181)) | (~v163(constB181)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB181)) | (~v163(constB181)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35454,plain,
% 21.01/14.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB181)) | (~v163(constB181)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35455,plain,
% 21.01/14.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB181)) | (~v163(constB181))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35454, 35453])).
% 21.01/14.60 tff(35456,plain,
% 21.01/14.60 (~v163(constB181)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35455, 22781, 29766])).
% 21.01/14.60 tff(35457,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB181)) | v164(constB181) | v163(constB181))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB181)) | v164(constB181) | v163(constB181))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35458,plain,
% 21.01/14.60 ((v164(constB181) | v163(constB181) | (~v160(constB181))) <=> ((~v160(constB181)) | v164(constB181) | v163(constB181))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35459,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB181) | v163(constB181) | (~v160(constB181)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB181)) | v164(constB181) | v163(constB181)))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35458])).
% 21.01/14.60 tff(35460,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB181) | v163(constB181) | (~v160(constB181)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB181)) | v164(constB181) | v163(constB181))),
% 21.01/14.60 inference(transitivity,[status(thm)],[35459, 35457])).
% 21.01/14.60 tff(35461,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB181) | v163(constB181) | (~v160(constB181)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35462,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB181)) | v164(constB181) | v163(constB181)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 21.01/14.60 tff(35463,plain,
% 21.01/14.60 ((~v160(constB181)) | v164(constB181)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35462, 22795, 35456])).
% 21.01/14.60 tff(35464,plain,
% 21.01/14.60 (~v160(constB181)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35463, 35452])).
% 21.01/14.60 tff(35465,plain,
% 21.01/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB181, constB182)) | v160(constB181) | (~v162(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB181, constB182)) | v160(constB181) | (~v162(constB182)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35466,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB181, constB182)) | v160(constB181) | (~v162(constB182)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35467,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB181, constB182)) | v160(constB181) | (~v162(constB182))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35466, 35465])).
% 21.01/14.60 tff(35468,plain,
% 21.01/14.60 (v160(constB181) | (~v162(constB182))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35467, 22813, 21498])).
% 21.01/14.60 tff(35469,plain,
% 21.01/14.60 (~v162(constB182)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35468, 35464])).
% 21.01/14.60 tff(35470,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB182) | (~v163(constB182)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB182) | (~v163(constB182)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35471,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB182) | (~v163(constB182)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35472,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB182) | (~v163(constB182))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35471, 35470])).
% 21.01/14.60 tff(35473,plain,
% 21.01/14.60 (~v163(constB182)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35472, 22825, 35469])).
% 21.01/14.60 tff(35474,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB182) | (~v164(constB182)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB182) | (~v164(constB182)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35475,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB182) | (~v164(constB182)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35476,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB182) | (~v164(constB182))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35475, 35474])).
% 21.01/14.60 tff(35477,plain,
% 21.01/14.60 (~v164(constB182)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35476, 22836, 31556])).
% 21.01/14.60 tff(35478,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB182)) | v164(constB182) | v163(constB182))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB182)) | v164(constB182) | v163(constB182))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35479,plain,
% 21.01/14.60 ((v164(constB182) | v163(constB182) | (~v160(constB182))) <=> ((~v160(constB182)) | v164(constB182) | v163(constB182))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35480,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB182) | v163(constB182) | (~v160(constB182)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB182)) | v164(constB182) | v163(constB182)))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35479])).
% 21.01/14.60 tff(35481,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB182) | v163(constB182) | (~v160(constB182)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB182)) | v164(constB182) | v163(constB182))),
% 21.01/14.60 inference(transitivity,[status(thm)],[35480, 35478])).
% 21.01/14.60 tff(35482,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB182) | v163(constB182) | (~v160(constB182)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35483,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB182)) | v164(constB182) | v163(constB182)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35482, 35481])).
% 21.01/14.60 tff(35484,plain,
% 21.01/14.60 ((~v160(constB182)) | v163(constB182)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35483, 22795, 35477])).
% 21.01/14.60 tff(35485,plain,
% 21.01/14.60 (~v160(constB182)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35484, 35473])).
% 21.01/14.60 tff(35486,plain,
% 21.01/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB182, constB183)) | v160(constB182) | (~v162(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB182, constB183)) | v160(constB182) | (~v162(constB183)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35487,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB182, constB183)) | v160(constB182) | (~v162(constB183)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35488,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB182, constB183)) | v160(constB182) | (~v162(constB183))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35487, 35486])).
% 21.01/14.60 tff(35489,plain,
% 21.01/14.60 (v160(constB182) | (~v162(constB183))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35488, 22813, 21590])).
% 21.01/14.60 tff(35490,plain,
% 21.01/14.60 (~v162(constB183)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35489, 35485])).
% 21.01/14.60 tff(35491,plain,
% 21.01/14.60 ($false),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35490, 35361])).
% 21.01/14.60 tff(35492,plain,(~(constB183 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.60 tff(35493,assumption,(constB194 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.60 tff(35494,plain,
% 21.01/14.60 (v1(constB194) <=> v1(sK0_VarCurr)),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35493])).
% 21.01/14.60 tff(35495,plain,
% 21.01/14.60 (v1(sK0_VarCurr) <=> v1(constB194)),
% 21.01/14.60 inference(symmetry,[status(thm)],[35494])).
% 21.01/14.60 tff(35496,plain,
% 21.01/14.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB194))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35495])).
% 21.01/14.60 tff(35497,plain,
% 21.01/14.60 (~v1(constB194)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[23510, 35496])).
% 21.01/14.60 tff(35498,plain,
% 21.01/14.60 ($false),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[24132, 35497])).
% 21.01/14.60 tff(35499,plain,(~(constB194 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.60 tff(35500,assumption,(constB172 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.60 tff(35501,plain,
% 21.01/14.60 (v1(constB172) <=> v1(sK0_VarCurr)),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35500])).
% 21.01/14.60 tff(35502,plain,
% 21.01/14.60 (v1(sK0_VarCurr) <=> v1(constB172)),
% 21.01/14.60 inference(symmetry,[status(thm)],[35501])).
% 21.01/14.60 tff(35503,plain,
% 21.01/14.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB172))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35502])).
% 21.01/14.60 tff(35504,plain,
% 21.01/14.60 (~v1(constB172)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[23510, 35503])).
% 21.01/14.60 tff(35505,plain,
% 21.01/14.60 ($false),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[20563, 35504])).
% 21.01/14.60 tff(35506,plain,(~(constB172 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.60 tff(35507,assumption,(constB76 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.60 tff(35508,plain,
% 21.01/14.60 (v1(constB76) <=> v1(sK0_VarCurr)),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35507])).
% 21.01/14.60 tff(35509,plain,
% 21.01/14.60 (v1(sK0_VarCurr) <=> v1(constB76)),
% 21.01/14.60 inference(symmetry,[status(thm)],[35508])).
% 21.01/14.60 tff(35510,plain,
% 21.01/14.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB76))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35509])).
% 21.01/14.60 tff(35511,plain,
% 21.01/14.60 (~v1(constB76)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[23510, 35510])).
% 21.01/14.60 tff(35512,plain,
% 21.01/14.60 ($false),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[8546, 35511])).
% 21.01/14.60 tff(35513,plain,(~(constB76 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.60 tff(35514,assumption,(constB18 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.60 tff(35515,plain,
% 21.01/14.60 (v1(constB18) <=> v1(sK0_VarCurr)),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35514])).
% 21.01/14.60 tff(35516,plain,
% 21.01/14.60 (v1(sK0_VarCurr) <=> v1(constB18)),
% 21.01/14.60 inference(symmetry,[status(thm)],[35515])).
% 21.01/14.60 tff(35517,plain,
% 21.01/14.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB18))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35516])).
% 21.01/14.60 tff(35518,plain,
% 21.01/14.60 (~v1(constB18)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[23510, 35517])).
% 21.01/14.60 tff(35519,plain,
% 21.01/14.60 ($false),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[2449, 35518])).
% 21.01/14.60 tff(35520,plain,(~(constB18 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.60 tff(35521,assumption,(constB64 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.60 tff(35522,plain,
% 21.01/14.60 (v1(constB64) <=> v1(sK0_VarCurr)),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35521])).
% 21.01/14.60 tff(35523,plain,
% 21.01/14.60 (v1(sK0_VarCurr) <=> v1(constB64)),
% 21.01/14.60 inference(symmetry,[status(thm)],[35522])).
% 21.01/14.60 tff(35524,plain,
% 21.01/14.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB64))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35523])).
% 21.01/14.60 tff(35525,plain,
% 21.01/14.60 (~v1(constB64)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[23510, 35524])).
% 21.01/14.60 tff(35526,plain,
% 21.01/14.60 ($false),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[7252, 35525])).
% 21.01/14.60 tff(35527,plain,(~(constB64 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.60 tff(35528,assumption,(constB72 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.60 tff(35529,plain,
% 21.01/14.60 (v1(constB72) <=> v1(sK0_VarCurr)),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35528])).
% 21.01/14.60 tff(35530,plain,
% 21.01/14.60 (v1(sK0_VarCurr) <=> v1(constB72)),
% 21.01/14.60 inference(symmetry,[status(thm)],[35529])).
% 21.01/14.60 tff(35531,plain,
% 21.01/14.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB72))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35530])).
% 21.01/14.60 tff(35532,plain,
% 21.01/14.60 (~v1(constB72)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[23510, 35531])).
% 21.01/14.60 tff(35533,plain,
% 21.01/14.60 ($false),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[7992, 35532])).
% 21.01/14.60 tff(35534,plain,(~(constB72 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.60 tff(35535,assumption,(constB86 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.60 tff(35536,plain,
% 21.01/14.60 (v1(constB86) <=> v1(sK0_VarCurr)),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35535])).
% 21.01/14.60 tff(35537,plain,
% 21.01/14.60 (v1(sK0_VarCurr) <=> v1(constB86)),
% 21.01/14.60 inference(symmetry,[status(thm)],[35536])).
% 21.01/14.60 tff(35538,plain,
% 21.01/14.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB86))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35537])).
% 21.01/14.60 tff(35539,plain,
% 21.01/14.60 (~v1(constB86)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[23510, 35538])).
% 21.01/14.60 tff(35540,plain,
% 21.01/14.60 ($false),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[9620, 35539])).
% 21.01/14.60 tff(35541,plain,(~(constB86 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.01/14.60 tff(35542,assumption,(constB175 = sK0_VarCurr), introduced(assumption)).
% 21.01/14.60 tff(35543,plain,
% 21.01/14.60 (v162(constB175) <=> v162(sK0_VarCurr)),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35542])).
% 21.01/14.60 tff(35544,plain,
% 21.01/14.60 (v162(sK0_VarCurr) <=> v162(constB175)),
% 21.01/14.60 inference(symmetry,[status(thm)],[35543])).
% 21.01/14.60 tff(35545,plain,
% 21.01/14.60 (v162(constB175)),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[22337, 35544])).
% 21.01/14.60 tff(35546,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB169) | (~v144(constB169)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB169) | (~v144(constB169)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35547,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB169) | (~v144(constB169)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35548,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB169) | (~v144(constB169))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35547, 35546])).
% 21.01/14.60 tff(35549,plain,
% 21.01/14.60 (~v144(constB169)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35548, 22349, 20264])).
% 21.01/14.60 tff(35550,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB169) | (~v142(constB169)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35551,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB169) | (~v142(constB169)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35552,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB169) | (~v142(constB169))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35551, 35550])).
% 21.01/14.60 tff(35553,plain,
% 21.01/14.60 (~v142(constB169)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35552, 22360, 35549])).
% 21.01/14.60 tff(35554,plain,
% 21.01/14.60 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB169)) | (~v140(constB169)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB169)) | (~v140(constB169)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35555,plain,
% 21.01/14.60 (((~v140(constB169)) | (~v138(constB169))) <=> ((~v138(constB169)) | (~v140(constB169)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35556,plain,
% 21.01/14.60 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB169)) | (~v138(constB169)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB169)) | (~v140(constB169))))),
% 21.01/14.60 inference(monotonicity,[status(thm)],[35555])).
% 21.01/14.60 tff(35557,plain,
% 21.01/14.60 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB169)) | (~v138(constB169)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB169)) | (~v140(constB169)))),
% 21.01/14.60 inference(transitivity,[status(thm)],[35556, 35554])).
% 21.01/14.60 tff(35558,plain,
% 21.01/14.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB169)) | (~v138(constB169)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35559,plain,
% 21.01/14.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB169)) | (~v140(constB169))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35558, 35557])).
% 21.01/14.60 tff(35560,plain,
% 21.01/14.60 (~v138(constB169)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35559, 22419, 28038])).
% 21.01/14.60 tff(35561,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB169) | v142(constB169) | (~v135(constB169)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB169) | v142(constB169) | (~v135(constB169)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35562,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB169) | v142(constB169) | (~v135(constB169)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35563,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB169) | v142(constB169) | (~v135(constB169))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35562, 35561])).
% 21.01/14.60 tff(35564,plain,
% 21.01/14.60 (v142(constB169) | (~v135(constB169))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35563, 22436, 35560])).
% 21.01/14.60 tff(35565,plain,
% 21.01/14.60 (~v135(constB169)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35564, 35553])).
% 21.01/14.60 tff(35566,plain,
% 21.01/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35567,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35568,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35567, 35566])).
% 21.01/14.60 tff(35569,plain,
% 21.01/14.60 (v135(constB169) | (~v137(constB170))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35568, 22451, 20298])).
% 21.01/14.60 tff(35570,plain,
% 21.01/14.60 (~v137(constB170)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35569, 35565])).
% 21.01/14.60 tff(35571,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB170) | (~v138(constB170)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB170) | (~v138(constB170)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35572,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB170) | (~v138(constB170)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35573,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB170) | (~v138(constB170))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35572, 35571])).
% 21.01/14.60 tff(35574,plain,
% 21.01/14.60 (~v138(constB170)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35573, 22463, 35570])).
% 21.01/14.60 tff(35575,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB170) | (~v144(constB170)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB170) | (~v144(constB170)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35576,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB170) | (~v144(constB170)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35577,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB170) | (~v144(constB170))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35576, 35575])).
% 21.01/14.60 tff(35578,plain,
% 21.01/14.60 (~v144(constB170)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35577, 22485, 28063])).
% 21.01/14.60 tff(35579,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB170) | (~v142(constB170)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB170) | (~v142(constB170)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35580,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB170) | (~v142(constB170)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35581,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB170) | (~v142(constB170))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35580, 35579])).
% 21.01/14.60 tff(35582,plain,
% 21.01/14.60 (~v142(constB170)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35581, 22360, 35578])).
% 21.01/14.60 tff(35583,plain,
% 21.01/14.60 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB170) | v142(constB170) | (~v135(constB170)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB170) | v142(constB170) | (~v135(constB170)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35584,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB170) | v142(constB170) | (~v135(constB170)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35585,plain,
% 21.01/14.60 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB170) | v142(constB170) | (~v135(constB170))),
% 21.01/14.60 inference(modus_ponens,[status(thm)],[35584, 35583])).
% 21.01/14.60 tff(35586,plain,
% 21.01/14.60 (v138(constB170) | (~v135(constB170))),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35585, 22436, 35582])).
% 21.01/14.60 tff(35587,plain,
% 21.01/14.60 (~v135(constB170)),
% 21.01/14.60 inference(unit_resolution,[status(thm)],[35586, 35574])).
% 21.01/14.60 tff(35588,plain,
% 21.01/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))),
% 21.01/14.60 inference(rewrite,[status(thm)],[])).
% 21.01/14.60 tff(35589,plain,
% 21.01/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))),
% 21.01/14.60 inference(quant_inst,[status(thm)],[])).
% 21.01/14.60 tff(35590,plain,
% 21.03/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35589, 35588])).
% 21.03/14.60 tff(35591,plain,
% 21.03/14.60 (v135(constB170) | (~v137(constB171))),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35590, 22451, 20409])).
% 21.03/14.60 tff(35592,plain,
% 21.03/14.60 (~v137(constB171)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35591, 35587])).
% 21.03/14.60 tff(35593,plain,
% 21.03/14.60 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB171) | (~v153(constB171)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB171) | (~v153(constB171)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35594,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB171) | (~v153(constB171)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35595,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB171) | (~v153(constB171))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35594, 35593])).
% 21.03/14.60 tff(35596,plain,
% 21.03/14.60 (~v153(constB171)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35595, 22510, 35592])).
% 21.03/14.60 tff(35597,plain,
% 21.03/14.60 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB171)) | (~v155(constB171)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB171)) | (~v155(constB171)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35598,plain,
% 21.03/14.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB171)) | (~v155(constB171)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35599,plain,
% 21.03/14.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB171)) | (~v155(constB171))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35598, 35597])).
% 21.03/14.60 tff(35600,plain,
% 21.03/14.60 (~v155(constB171)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35599, 22552, 34441])).
% 21.03/14.60 tff(35601,plain,
% 21.03/14.60 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB171) | v155(constB171) | (~v150(constB171)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB171) | v155(constB171) | (~v150(constB171)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35602,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB171) | v155(constB171) | (~v150(constB171)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35603,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB171) | v155(constB171) | (~v150(constB171))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35602, 35601])).
% 21.03/14.60 tff(35604,plain,
% 21.03/14.60 (v153(constB171) | (~v150(constB171))),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35603, 22566, 35600])).
% 21.03/14.60 tff(35605,plain,
% 21.03/14.60 (~v150(constB171)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35604, 35596])).
% 21.03/14.60 tff(35606,plain,
% 21.03/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35607,plain,
% 21.03/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35608,plain,
% 21.03/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35607, 35606])).
% 21.03/14.60 tff(35609,plain,
% 21.03/14.60 (v150(constB171) | (~v152(constB172))),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35608, 22581, 20543])).
% 21.03/14.60 tff(35610,plain,
% 21.03/14.60 (~v152(constB172)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35609, 35605])).
% 21.03/14.60 tff(35611,plain,
% 21.03/14.60 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB172) | (~v155(constB172)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB172) | (~v155(constB172)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35612,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB172) | (~v155(constB172)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35613,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB172) | (~v155(constB172))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35612, 35611])).
% 21.03/14.60 tff(35614,plain,
% 21.03/14.60 (~v155(constB172)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35613, 22593, 35610])).
% 21.03/14.60 tff(35615,plain,
% 21.03/14.60 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB172) | (~v153(constB172)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB172) | (~v153(constB172)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35616,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB172) | (~v153(constB172)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35617,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB172) | (~v153(constB172))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35616, 35615])).
% 21.03/14.60 tff(35618,plain,
% 21.03/14.60 (~v153(constB172)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35617, 22619, 34470])).
% 21.03/14.60 tff(35619,plain,
% 21.03/14.60 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB172) | v155(constB172) | (~v150(constB172)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB172) | v155(constB172) | (~v150(constB172)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35620,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB172) | v155(constB172) | (~v150(constB172)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35621,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB172) | v155(constB172) | (~v150(constB172))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35620, 35619])).
% 21.03/14.60 tff(35622,plain,
% 21.03/14.60 (v155(constB172) | (~v150(constB172))),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35621, 22566, 35618])).
% 21.03/14.60 tff(35623,plain,
% 21.03/14.60 (~v150(constB172)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35622, 35614])).
% 21.03/14.60 tff(35624,plain,
% 21.03/14.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35625,plain,
% 21.03/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35626,plain,
% 21.03/14.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173))),
% 21.03/14.60 inference(modus_ponens,[status(thm)],[35625, 35624])).
% 21.03/14.60 tff(35627,plain,
% 21.03/14.60 (v150(constB172) | (~v152(constB173))),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35626, 22581, 20608])).
% 21.03/14.60 tff(35628,plain,
% 21.03/14.60 (~v152(constB173)),
% 21.03/14.60 inference(unit_resolution,[status(thm)],[35627, 35623])).
% 21.03/14.60 tff(35629,plain,
% 21.03/14.60 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB173) | (~v164(constB173)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB173) | (~v164(constB173)))),
% 21.03/14.60 inference(rewrite,[status(thm)],[])).
% 21.03/14.60 tff(35630,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB173) | (~v164(constB173)))),
% 21.03/14.60 inference(quant_inst,[status(thm)],[])).
% 21.03/14.60 tff(35631,plain,
% 21.03/14.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB173) | (~v164(constB173))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35630, 35629])).
% 21.03/14.61 tff(35632,plain,
% 21.03/14.61 (~v164(constB173)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35631, 22640, 35628])).
% 21.03/14.61 tff(35633,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB173) | (~v163(constB173)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB173) | (~v163(constB173)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35634,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB173) | (~v163(constB173)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35635,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB173) | (~v163(constB173))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35634, 35633])).
% 21.03/14.61 tff(35636,plain,
% 21.03/14.61 (~v163(constB173)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35635, 22825, 34487])).
% 21.03/14.61 tff(35637,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB173)) | v164(constB173) | v163(constB173))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB173)) | v164(constB173) | v163(constB173))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35638,plain,
% 21.03/14.61 ((v164(constB173) | v163(constB173) | (~v160(constB173))) <=> ((~v160(constB173)) | v164(constB173) | v163(constB173))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35639,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB173) | v163(constB173) | (~v160(constB173)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB173)) | v164(constB173) | v163(constB173)))),
% 21.03/14.61 inference(monotonicity,[status(thm)],[35638])).
% 21.03/14.61 tff(35640,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB173) | v163(constB173) | (~v160(constB173)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB173)) | v164(constB173) | v163(constB173))),
% 21.03/14.61 inference(transitivity,[status(thm)],[35639, 35637])).
% 21.03/14.61 tff(35641,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB173) | v163(constB173) | (~v160(constB173)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35642,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB173)) | v164(constB173) | v163(constB173)),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35641, 35640])).
% 21.03/14.61 tff(35643,plain,
% 21.03/14.61 ((~v160(constB173)) | v164(constB173)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35642, 22795, 35636])).
% 21.03/14.61 tff(35644,plain,
% 21.03/14.61 (~v160(constB173)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35643, 35632])).
% 21.03/14.61 tff(35645,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35646,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35647,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35646, 35645])).
% 21.03/14.61 tff(35648,plain,
% 21.03/14.61 (v160(constB173) | (~v162(constB174))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35647, 22813, 20737])).
% 21.03/14.61 tff(35649,plain,
% 21.03/14.61 (~v162(constB174)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35648, 35644])).
% 21.03/14.61 tff(35650,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB174) | (~v163(constB174)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB174) | (~v163(constB174)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35651,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB174) | (~v163(constB174)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35652,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB174) | (~v163(constB174))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35651, 35650])).
% 21.03/14.61 tff(35653,plain,
% 21.03/14.61 (~v163(constB174)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35652, 22825, 35649])).
% 21.03/14.61 tff(35654,plain,
% 21.03/14.61 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB174)) | (~v141(constB174)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB174)) | (~v141(constB174)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35655,plain,
% 21.03/14.61 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB174)) | (~v141(constB174)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35656,plain,
% 21.03/14.61 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB174)) | (~v141(constB174))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35655, 35654])).
% 21.03/14.61 tff(35657,plain,
% 21.03/14.61 (~v141(constB174)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35656, 22474, 20757])).
% 21.03/14.61 tff(35658,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB174) | (~v154(constB174)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB174) | (~v154(constB174)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35659,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB174) | (~v154(constB174)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35660,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB174) | (~v154(constB174))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35659, 35658])).
% 21.03/14.61 tff(35661,plain,
% 21.03/14.61 (~v154(constB174)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35660, 22608, 35657])).
% 21.03/14.61 tff(35662,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB174) | (~v164(constB174)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB174) | (~v164(constB174)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35663,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB174) | (~v164(constB174)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35664,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB174) | (~v164(constB174))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35663, 35662])).
% 21.03/14.61 tff(35665,plain,
% 21.03/14.61 (~v164(constB174)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35664, 22836, 35661])).
% 21.03/14.61 tff(35666,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB174)) | v164(constB174) | v163(constB174))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB174)) | v164(constB174) | v163(constB174))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35667,plain,
% 21.03/14.61 ((v164(constB174) | v163(constB174) | (~v160(constB174))) <=> ((~v160(constB174)) | v164(constB174) | v163(constB174))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35668,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB174) | v163(constB174) | (~v160(constB174)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB174)) | v164(constB174) | v163(constB174)))),
% 21.03/14.61 inference(monotonicity,[status(thm)],[35667])).
% 21.03/14.61 tff(35669,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB174) | v163(constB174) | (~v160(constB174)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB174)) | v164(constB174) | v163(constB174))),
% 21.03/14.61 inference(transitivity,[status(thm)],[35668, 35666])).
% 21.03/14.61 tff(35670,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB174) | v163(constB174) | (~v160(constB174)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35671,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB174)) | v164(constB174) | v163(constB174)),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35670, 35669])).
% 21.03/14.61 tff(35672,plain,
% 21.03/14.61 ((~v160(constB174)) | v163(constB174)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35671, 22795, 35665])).
% 21.03/14.61 tff(35673,plain,
% 21.03/14.61 (~v160(constB174)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35672, 35653])).
% 21.03/14.61 tff(35674,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35675,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35676,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35675, 35674])).
% 21.03/14.61 tff(35677,plain,
% 21.03/14.61 (v160(constB174) | (~v162(constB175))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35676, 22813, 20802])).
% 21.03/14.61 tff(35678,plain,
% 21.03/14.61 (~v162(constB175)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35677, 35673])).
% 21.03/14.61 tff(35679,plain,
% 21.03/14.61 ($false),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35678, 35545])).
% 21.03/14.61 tff(35680,plain,(~(constB175 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.03/14.61 tff(35681,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 21.03/14.61 tff(35682,plain,
% 21.03/14.61 (v162(constB7) <=> v162(sK0_VarCurr)),
% 21.03/14.61 inference(monotonicity,[status(thm)],[35681])).
% 21.03/14.61 tff(35683,plain,
% 21.03/14.61 (v162(sK0_VarCurr) <=> v162(constB7)),
% 21.03/14.61 inference(symmetry,[status(thm)],[35682])).
% 21.03/14.61 tff(35684,plain,
% 21.03/14.61 (v162(constB7)),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[22337, 35683])).
% 21.03/14.61 tff(35685,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB1) | (~v138(constB1)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB1) | (~v138(constB1)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35686,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB1) | (~v138(constB1)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35687,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB1) | (~v138(constB1))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35686, 35685])).
% 21.03/14.61 tff(35688,plain,
% 21.03/14.61 (~v138(constB1)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35687, 22463, 33870])).
% 21.03/14.61 tff(35689,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB1, bitIndex0) | (~v145(constB1)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB1, bitIndex0) | (~v145(constB1)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35690,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB1, bitIndex0) | (~v145(constB1)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35691,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB1, bitIndex0) | (~v145(constB1))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35690, 35689])).
% 21.03/14.61 tff(35692,plain,
% 21.03/14.61 (~v145(constB1)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35691, 4951, 174])).
% 21.03/14.61 tff(35693,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB1) | (~v144(constB1)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB1) | (~v144(constB1)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35694,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB1) | (~v144(constB1)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35695,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB1) | (~v144(constB1))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35694, 35693])).
% 21.03/14.61 tff(35696,plain,
% 21.03/14.61 (~v144(constB1)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35695, 22349, 35692])).
% 21.03/14.61 tff(35697,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB1) | (~v142(constB1)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB1) | (~v142(constB1)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35698,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB1) | (~v142(constB1)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35699,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB1) | (~v142(constB1))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35698, 35697])).
% 21.03/14.61 tff(35700,plain,
% 21.03/14.61 (~v142(constB1)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35699, 22360, 35696])).
% 21.03/14.61 tff(35701,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB1) | v142(constB1) | (~v135(constB1)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB1) | v142(constB1) | (~v135(constB1)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35702,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB1) | v142(constB1) | (~v135(constB1)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35703,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB1) | v142(constB1) | (~v135(constB1))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35702, 35701])).
% 21.03/14.61 tff(35704,plain,
% 21.03/14.61 (~v135(constB1)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35703, 22436, 35700, 35688])).
% 21.03/14.61 tff(35705,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35706,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35707,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35706, 35705])).
% 21.03/14.61 tff(35708,plain,
% 21.03/14.61 (v135(constB1) | (~v137(constB2))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35707, 22451, 283])).
% 21.03/14.61 tff(35709,plain,
% 21.03/14.61 (~v137(constB2)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35708, 35704])).
% 21.03/14.61 tff(35710,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB2) | (~v138(constB2)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB2) | (~v138(constB2)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35711,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB2) | (~v138(constB2)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35712,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB2) | (~v138(constB2))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35711, 35710])).
% 21.03/14.61 tff(35713,plain,
% 21.03/14.61 (~v138(constB2)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35712, 22463, 35709])).
% 21.03/14.61 tff(35714,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB2) | (~v144(constB2)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB2) | (~v144(constB2)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35715,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB2) | (~v144(constB2)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35716,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB2) | (~v144(constB2))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35715, 35714])).
% 21.03/14.61 tff(35717,plain,
% 21.03/14.61 (~v144(constB2)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35716, 22485, 33800])).
% 21.03/14.61 tff(35718,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB2) | (~v142(constB2)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB2) | (~v142(constB2)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35719,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB2) | (~v142(constB2)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35720,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB2) | (~v142(constB2))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35719, 35718])).
% 21.03/14.61 tff(35721,plain,
% 21.03/14.61 (~v142(constB2)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35720, 22360, 35717])).
% 21.03/14.61 tff(35722,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB2) | v142(constB2) | (~v135(constB2)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB2) | v142(constB2) | (~v135(constB2)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35723,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB2) | v142(constB2) | (~v135(constB2)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35724,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB2) | v142(constB2) | (~v135(constB2))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35723, 35722])).
% 21.03/14.61 tff(35725,plain,
% 21.03/14.61 (v138(constB2) | (~v135(constB2))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35724, 22436, 35721])).
% 21.03/14.61 tff(35726,plain,
% 21.03/14.61 (~v135(constB2)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35725, 35713])).
% 21.03/14.61 tff(35727,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35728,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35729,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35728, 35727])).
% 21.03/14.61 tff(35730,plain,
% 21.03/14.61 (v135(constB2) | (~v137(constB3))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35729, 22451, 438])).
% 21.03/14.61 tff(35731,plain,
% 21.03/14.61 (~v137(constB3)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35730, 35726])).
% 21.03/14.61 tff(35732,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB3) | (~v153(constB3)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB3) | (~v153(constB3)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35733,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB3) | (~v153(constB3)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35734,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB3) | (~v153(constB3))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35733, 35732])).
% 21.03/14.61 tff(35735,plain,
% 21.03/14.61 (~v153(constB3)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35734, 22510, 35731])).
% 21.03/14.61 tff(35736,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB3) | (~v155(constB3)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB3) | (~v155(constB3)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35737,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB3) | (~v155(constB3)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35738,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB3) | (~v155(constB3))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35737, 35736])).
% 21.03/14.61 tff(35739,plain,
% 21.03/14.61 (~v155(constB3)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35738, 22593, 33906])).
% 21.03/14.61 tff(35740,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB3) | v155(constB3) | (~v150(constB3)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB3) | v155(constB3) | (~v150(constB3)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35741,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB3) | v155(constB3) | (~v150(constB3)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35742,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB3) | v155(constB3) | (~v150(constB3))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35741, 35740])).
% 21.03/14.61 tff(35743,plain,
% 21.03/14.61 (v153(constB3) | (~v150(constB3))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35742, 22566, 35739])).
% 21.03/14.61 tff(35744,plain,
% 21.03/14.61 (~v150(constB3)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35743, 35735])).
% 21.03/14.61 tff(35745,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35746,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35747,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35746, 35745])).
% 21.03/14.61 tff(35748,plain,
% 21.03/14.61 (v150(constB3) | (~v152(constB4))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35747, 22581, 653])).
% 21.03/14.61 tff(35749,plain,
% 21.03/14.61 (~v152(constB4)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35748, 35744])).
% 21.03/14.61 tff(35750,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB4) | (~v155(constB4)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB4) | (~v155(constB4)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35751,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB4) | (~v155(constB4)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35752,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB4) | (~v155(constB4))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35751, 35750])).
% 21.03/14.61 tff(35753,plain,
% 21.03/14.61 (~v155(constB4)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35752, 22593, 35749])).
% 21.03/14.61 tff(35754,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB4) | (~v153(constB4)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB4) | (~v153(constB4)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35755,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB4) | (~v153(constB4)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35756,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB4) | (~v153(constB4))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35755, 35754])).
% 21.03/14.61 tff(35757,plain,
% 21.03/14.61 (~v153(constB4)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35756, 22619, 33938])).
% 21.03/14.61 tff(35758,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB4) | v155(constB4) | (~v150(constB4)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB4) | v155(constB4) | (~v150(constB4)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35759,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB4) | v155(constB4) | (~v150(constB4)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35760,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB4) | v155(constB4) | (~v150(constB4))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35759, 35758])).
% 21.03/14.61 tff(35761,plain,
% 21.03/14.61 (v155(constB4) | (~v150(constB4))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35760, 22566, 35757])).
% 21.03/14.61 tff(35762,plain,
% 21.03/14.61 (~v150(constB4)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35761, 35753])).
% 21.03/14.61 tff(35763,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35764,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35765,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35764, 35763])).
% 21.03/14.61 tff(35766,plain,
% 21.03/14.61 (v150(constB4) | (~v152(constB5))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35765, 22581, 759])).
% 21.03/14.61 tff(35767,plain,
% 21.03/14.61 (~v152(constB5)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35766, 35762])).
% 21.03/14.61 tff(35768,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB5) | (~v164(constB5)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB5) | (~v164(constB5)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35769,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB5) | (~v164(constB5)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35770,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB5) | (~v164(constB5))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35769, 35768])).
% 21.03/14.61 tff(35771,plain,
% 21.03/14.61 (~v164(constB5)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35770, 22640, 35767])).
% 21.03/14.61 tff(35772,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB5) | (~v163(constB5)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB5) | (~v163(constB5)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35773,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB5) | (~v163(constB5)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35774,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB5) | (~v163(constB5))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35773, 35772])).
% 21.03/14.61 tff(35775,plain,
% 21.03/14.61 (~v163(constB5)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35774, 22825, 33955])).
% 21.03/14.61 tff(35776,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB5)) | v163(constB5) | v164(constB5))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB5)) | v163(constB5) | v164(constB5))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35777,plain,
% 21.03/14.61 ((v164(constB5) | v163(constB5) | (~v160(constB5))) <=> ((~v160(constB5)) | v163(constB5) | v164(constB5))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35778,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB5) | v163(constB5) | (~v160(constB5)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB5)) | v163(constB5) | v164(constB5)))),
% 21.03/14.61 inference(monotonicity,[status(thm)],[35777])).
% 21.03/14.61 tff(35779,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB5) | v163(constB5) | (~v160(constB5)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB5)) | v163(constB5) | v164(constB5))),
% 21.03/14.61 inference(transitivity,[status(thm)],[35778, 35776])).
% 21.03/14.61 tff(35780,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB5) | v163(constB5) | (~v160(constB5)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35781,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB5)) | v163(constB5) | v164(constB5)),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35780, 35779])).
% 21.03/14.61 tff(35782,plain,
% 21.03/14.61 (~v160(constB5)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35781, 22795, 35775, 35771])).
% 21.03/14.61 tff(35783,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35784,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35785,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35784, 35783])).
% 21.03/14.61 tff(35786,plain,
% 21.03/14.61 (v160(constB5) | (~v162(constB6))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35785, 22813, 988])).
% 21.03/14.61 tff(35787,plain,
% 21.03/14.61 (~v162(constB6)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35786, 35782])).
% 21.03/14.61 tff(35788,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB6) | (~v163(constB6)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB6) | (~v163(constB6)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35789,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB6) | (~v163(constB6)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35790,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB6) | (~v163(constB6))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35789, 35788])).
% 21.03/14.61 tff(35791,plain,
% 21.03/14.61 (~v163(constB6)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35790, 22825, 35787])).
% 21.03/14.61 tff(35792,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB6) | (~v154(constB6)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB6) | (~v154(constB6)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35793,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB6) | (~v154(constB6)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35794,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB6) | (~v154(constB6))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35793, 35792])).
% 21.03/14.61 tff(35795,plain,
% 21.03/14.61 (~v154(constB6)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35794, 22608, 29540])).
% 21.03/14.61 tff(35796,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB6) | (~v164(constB6)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB6) | (~v164(constB6)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35797,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB6) | (~v164(constB6)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35798,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB6) | (~v164(constB6))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35797, 35796])).
% 21.03/14.61 tff(35799,plain,
% 21.03/14.61 (~v164(constB6)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35798, 22836, 35795])).
% 21.03/14.61 tff(35800,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB6)) | v164(constB6) | v163(constB6))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB6)) | v164(constB6) | v163(constB6))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35801,plain,
% 21.03/14.61 ((v164(constB6) | v163(constB6) | (~v160(constB6))) <=> ((~v160(constB6)) | v164(constB6) | v163(constB6))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35802,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB6) | v163(constB6) | (~v160(constB6)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB6)) | v164(constB6) | v163(constB6)))),
% 21.03/14.61 inference(monotonicity,[status(thm)],[35801])).
% 21.03/14.61 tff(35803,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB6) | v163(constB6) | (~v160(constB6)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB6)) | v164(constB6) | v163(constB6))),
% 21.03/14.61 inference(transitivity,[status(thm)],[35802, 35800])).
% 21.03/14.61 tff(35804,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB6) | v163(constB6) | (~v160(constB6)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35805,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB6)) | v164(constB6) | v163(constB6)),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35804, 35803])).
% 21.03/14.61 tff(35806,plain,
% 21.03/14.61 ((~v160(constB6)) | v163(constB6)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35805, 22795, 35799])).
% 21.03/14.61 tff(35807,plain,
% 21.03/14.61 (~v160(constB6)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35806, 35791])).
% 21.03/14.61 tff(35808,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35809,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35810,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35809, 35808])).
% 21.03/14.61 tff(35811,plain,
% 21.03/14.61 (v160(constB6) | (~v162(constB7))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35810, 22813, 1063])).
% 21.03/14.61 tff(35812,plain,
% 21.03/14.61 (~v162(constB7)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35811, 35807])).
% 21.03/14.61 tff(35813,plain,
% 21.03/14.61 ($false),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35812, 35684])).
% 21.03/14.61 tff(35814,plain,(~(constB7 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.03/14.61 tff(35815,assumption,(constB29 = sK0_VarCurr), introduced(assumption)).
% 21.03/14.61 tff(35816,plain,
% 21.03/14.61 (v162(constB29) <=> v162(sK0_VarCurr)),
% 21.03/14.61 inference(monotonicity,[status(thm)],[35815])).
% 21.03/14.61 tff(35817,plain,
% 21.03/14.61 (v162(sK0_VarCurr) <=> v162(constB29)),
% 21.03/14.61 inference(symmetry,[status(thm)],[35816])).
% 21.03/14.61 tff(35818,plain,
% 21.03/14.61 (v162(constB29)),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[22337, 35817])).
% 21.03/14.61 tff(35819,plain,
% 21.03/14.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB23, bitIndex2)) | (~v145(constB23)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB23, bitIndex2)) | (~v145(constB23)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35820,plain,
% 21.03/14.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB23, bitIndex2)) | (~v145(constB23)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35821,plain,
% 21.03/14.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB23, bitIndex2)) | (~v145(constB23))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35820, 35819])).
% 21.03/14.61 tff(35822,plain,
% 21.03/14.61 (~v145(constB23)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35821, 10327, 3101])).
% 21.03/14.61 tff(35823,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB23) | (~v144(constB23)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB23) | (~v144(constB23)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35824,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB23) | (~v144(constB23)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35825,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB23) | (~v144(constB23))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35824, 35823])).
% 21.03/14.61 tff(35826,plain,
% 21.03/14.61 (~v144(constB23)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35825, 22349, 35822])).
% 21.03/14.61 tff(35827,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB23) | (~v142(constB23)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB23) | (~v142(constB23)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35828,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB23) | (~v142(constB23)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35829,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB23) | (~v142(constB23))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35828, 35827])).
% 21.03/14.61 tff(35830,plain,
% 21.03/14.61 (~v142(constB23)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35829, 22360, 35826])).
% 21.03/14.61 tff(35831,plain,
% 21.03/14.61 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB23)) | (~v140(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB23)) | (~v140(constB23)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35832,plain,
% 21.03/14.61 (((~v140(constB23)) | (~v138(constB23))) <=> ((~v138(constB23)) | (~v140(constB23)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35833,plain,
% 21.03/14.61 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB23)) | (~v138(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB23)) | (~v140(constB23))))),
% 21.03/14.61 inference(monotonicity,[status(thm)],[35832])).
% 21.03/14.61 tff(35834,plain,
% 21.03/14.61 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB23)) | (~v138(constB23)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB23)) | (~v140(constB23)))),
% 21.03/14.61 inference(transitivity,[status(thm)],[35833, 35831])).
% 21.03/14.61 tff(35835,plain,
% 21.03/14.61 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB23)) | (~v138(constB23)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35836,plain,
% 21.03/14.61 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB23)) | (~v140(constB23))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35835, 35834])).
% 21.03/14.61 tff(35837,plain,
% 21.03/14.61 (~v138(constB23)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35836, 22419, 23171])).
% 21.03/14.61 tff(35838,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB23) | v142(constB23) | (~v135(constB23)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB23) | v142(constB23) | (~v135(constB23)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35839,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB23) | v142(constB23) | (~v135(constB23)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35840,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB23) | v142(constB23) | (~v135(constB23))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35839, 35838])).
% 21.03/14.61 tff(35841,plain,
% 21.03/14.61 (v142(constB23) | (~v135(constB23))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35840, 22436, 35837])).
% 21.03/14.61 tff(35842,plain,
% 21.03/14.61 (~v135(constB23)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35841, 35830])).
% 21.03/14.61 tff(35843,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35844,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35845,plain,
% 21.03/14.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35844, 35843])).
% 21.03/14.61 tff(35846,plain,
% 21.03/14.61 (v135(constB23) | (~v137(constB24))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35845, 22451, 3197])).
% 21.03/14.61 tff(35847,plain,
% 21.03/14.61 (~v137(constB24)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35846, 35842])).
% 21.03/14.61 tff(35848,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB24) | (~v138(constB24)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB24) | (~v138(constB24)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35849,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB24) | (~v138(constB24)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35850,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB24) | (~v138(constB24))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35849, 35848])).
% 21.03/14.61 tff(35851,plain,
% 21.03/14.61 (~v138(constB24)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35850, 22463, 35847])).
% 21.03/14.61 tff(35852,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB24) | (~v144(constB24)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB24) | (~v144(constB24)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35853,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB24) | (~v144(constB24)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35854,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB24) | (~v144(constB24))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35853, 35852])).
% 21.03/14.61 tff(35855,plain,
% 21.03/14.61 (~v144(constB24)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35854, 22485, 23196])).
% 21.03/14.61 tff(35856,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB24) | (~v142(constB24)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB24) | (~v142(constB24)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35857,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB24) | (~v142(constB24)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35858,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB24) | (~v142(constB24))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35857, 35856])).
% 21.03/14.61 tff(35859,plain,
% 21.03/14.61 (~v142(constB24)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35858, 22360, 35855])).
% 21.03/14.61 tff(35860,plain,
% 21.03/14.61 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB24) | v142(constB24) | (~v135(constB24)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB24) | v142(constB24) | (~v135(constB24)))),
% 21.03/14.61 inference(rewrite,[status(thm)],[])).
% 21.03/14.61 tff(35861,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB24) | v142(constB24) | (~v135(constB24)))),
% 21.03/14.61 inference(quant_inst,[status(thm)],[])).
% 21.03/14.61 tff(35862,plain,
% 21.03/14.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB24) | v142(constB24) | (~v135(constB24))),
% 21.03/14.61 inference(modus_ponens,[status(thm)],[35861, 35860])).
% 21.03/14.61 tff(35863,plain,
% 21.03/14.61 (v138(constB24) | (~v135(constB24))),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35862, 22436, 35859])).
% 21.03/14.61 tff(35864,plain,
% 21.03/14.61 (~v135(constB24)),
% 21.03/14.61 inference(unit_resolution,[status(thm)],[35863, 35851])).
% 21.03/14.61 tff(35865,plain,
% 21.03/14.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))),
% 21.03/14.62 inference(rewrite,[status(thm)],[])).
% 21.03/14.62 tff(35866,plain,
% 21.03/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))),
% 21.03/14.62 inference(quant_inst,[status(thm)],[])).
% 21.03/14.62 tff(35867,plain,
% 21.03/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25))),
% 21.03/14.62 inference(modus_ponens,[status(thm)],[35866, 35865])).
% 21.03/14.62 tff(35868,plain,
% 21.03/14.62 (v135(constB24) | (~v137(constB25))),
% 21.03/14.62 inference(unit_resolution,[status(thm)],[35867, 22451, 3259])).
% 21.03/14.62 tff(35869,plain,
% 21.03/14.62 (~v137(constB25)),
% 21.03/14.62 inference(unit_resolution,[status(thm)],[35868, 35864])).
% 21.03/14.62 tff(35870,plain,
% 21.03/14.62 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB25) | (~v153(constB25)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB25) | (~v153(constB25)))),
% 21.03/14.62 inference(rewrite,[status(thm)],[])).
% 21.03/14.62 tff(35871,plain,
% 21.03/14.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB25) | (~v153(constB25)))),
% 21.03/14.62 inference(quant_inst,[status(thm)],[])).
% 21.03/14.62 tff(35872,plain,
% 21.03/14.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB25) | (~v153(constB25))),
% 21.03/14.62 inference(modus_ponens,[status(thm)],[35871, 35870])).
% 21.03/14.62 tff(35873,plain,
% 21.03/14.62 (~v153(constB25)),
% 21.03/14.62 inference(unit_resolution,[status(thm)],[35872, 22510, 35869])).
% 21.03/14.62 tff(35874,plain,
% 21.03/14.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB25)) | (~v155(constB25)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB25)) | (~v155(constB25)))),
% 21.03/14.62 inference(rewrite,[status(thm)],[])).
% 21.03/14.62 tff(35875,plain,
% 21.03/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB25)) | (~v155(constB25)))),
% 21.03/14.62 inference(quant_inst,[status(thm)],[])).
% 21.03/14.62 tff(35876,plain,
% 21.03/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB25)) | (~v155(constB25))),
% 21.03/14.62 inference(modus_ponens,[status(thm)],[35875, 35874])).
% 21.03/14.62 tff(35877,plain,
% 21.03/14.62 (~v155(constB25)),
% 21.03/14.62 inference(unit_resolution,[status(thm)],[35876, 22552, 25869])).
% 21.03/14.62 tff(35878,plain,
% 21.03/14.62 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB25) | v155(constB25) | (~v150(constB25)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB25) | v155(constB25) | (~v150(constB25)))),
% 21.03/14.62 inference(rewrite,[status(thm)],[])).
% 21.03/14.62 tff(35879,plain,
% 21.03/14.62 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB25) | v155(constB25) | (~v150(constB25)))),
% 21.03/14.62 inference(quant_inst,[status(thm)],[])).
% 21.03/14.62 tff(35880,plain,
% 21.03/14.62 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB25) | v155(constB25) | (~v150(constB25))),
% 21.03/14.62 inference(modus_ponens,[status(thm)],[35879, 35878])).
% 21.03/14.62 tff(35881,plain,
% 21.03/14.62 (v153(constB25) | (~v150(constB25))),
% 21.03/14.62 inference(unit_resolution,[status(thm)],[35880, 22566, 35877])).
% 21.03/14.62 tff(35882,plain,
% 21.03/14.62 (~v150(constB25)),
% 21.03/14.62 inference(unit_resolution,[status(thm)],[35881, 35873])).
% 21.03/14.62 tff(35883,plain,
% 21.03/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))),
% 21.03/14.62 inference(rewrite,[status(thm)],[])).
% 21.03/14.62 tff(35884,plain,
% 21.03/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35885,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35884, 35883])).
% 21.04/14.62 tff(35886,plain,
% 21.04/14.62 (v150(constB25) | (~v152(constB26))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35885, 22581, 3369])).
% 21.04/14.62 tff(35887,plain,
% 21.04/14.62 (~v152(constB26)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35886, 35882])).
% 21.04/14.62 tff(35888,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB26) | (~v155(constB26)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB26) | (~v155(constB26)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35889,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB26) | (~v155(constB26)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35890,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB26) | (~v155(constB26))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35889, 35888])).
% 21.04/14.62 tff(35891,plain,
% 21.04/14.62 (~v155(constB26)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35890, 22593, 35887])).
% 21.04/14.62 tff(35892,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB26) | (~v153(constB26)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB26) | (~v153(constB26)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35893,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB26) | (~v153(constB26)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35894,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB26) | (~v153(constB26))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35893, 35892])).
% 21.04/14.62 tff(35895,plain,
% 21.04/14.62 (~v153(constB26)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35894, 22619, 25898])).
% 21.04/14.62 tff(35896,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB26) | v155(constB26) | (~v150(constB26)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB26) | v155(constB26) | (~v150(constB26)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35897,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB26) | v155(constB26) | (~v150(constB26)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35898,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB26) | v155(constB26) | (~v150(constB26))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35897, 35896])).
% 21.04/14.62 tff(35899,plain,
% 21.04/14.62 (v155(constB26) | (~v150(constB26))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35898, 22566, 35895])).
% 21.04/14.62 tff(35900,plain,
% 21.04/14.62 (~v150(constB26)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35899, 35891])).
% 21.04/14.62 tff(35901,plain,
% 21.04/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35902,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35903,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35902, 35901])).
% 21.04/14.62 tff(35904,plain,
% 21.04/14.62 (v150(constB26) | (~v152(constB27))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35903, 22581, 3461])).
% 21.04/14.62 tff(35905,plain,
% 21.04/14.62 (~v152(constB27)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35904, 35900])).
% 21.04/14.62 tff(35906,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB27) | (~v164(constB27)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB27) | (~v164(constB27)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35907,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB27) | (~v164(constB27)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35908,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB27) | (~v164(constB27))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35907, 35906])).
% 21.04/14.62 tff(35909,plain,
% 21.04/14.62 (~v164(constB27)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35908, 22640, 35905])).
% 21.04/14.62 tff(35910,plain,
% 21.04/14.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB27)) | (~v163(constB27)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB27)) | (~v163(constB27)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35911,plain,
% 21.04/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB27)) | (~v163(constB27)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35912,plain,
% 21.04/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB27)) | (~v163(constB27))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35911, 35910])).
% 21.04/14.62 tff(35913,plain,
% 21.04/14.62 (~v163(constB27)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35912, 22781, 26251])).
% 21.04/14.62 tff(35914,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB27)) | v163(constB27) | v164(constB27))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB27)) | v163(constB27) | v164(constB27))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35915,plain,
% 21.04/14.62 ((v164(constB27) | v163(constB27) | (~v160(constB27))) <=> ((~v160(constB27)) | v163(constB27) | v164(constB27))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35916,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB27) | v163(constB27) | (~v160(constB27)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB27)) | v163(constB27) | v164(constB27)))),
% 21.04/14.62 inference(monotonicity,[status(thm)],[35915])).
% 21.04/14.62 tff(35917,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB27) | v163(constB27) | (~v160(constB27)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB27)) | v163(constB27) | v164(constB27))),
% 21.04/14.62 inference(transitivity,[status(thm)],[35916, 35914])).
% 21.04/14.62 tff(35918,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB27) | v163(constB27) | (~v160(constB27)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35919,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB27)) | v163(constB27) | v164(constB27)),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35918, 35917])).
% 21.04/14.62 tff(35920,plain,
% 21.04/14.62 ((~v160(constB27)) | v164(constB27)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35919, 22795, 35913])).
% 21.04/14.62 tff(35921,plain,
% 21.04/14.62 (~v160(constB27)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35920, 35909])).
% 21.04/14.62 tff(35922,plain,
% 21.04/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35923,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35924,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35923, 35922])).
% 21.04/14.62 tff(35925,plain,
% 21.04/14.62 (v160(constB27) | (~v162(constB28))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35924, 22813, 3600])).
% 21.04/14.62 tff(35926,plain,
% 21.04/14.62 (~v162(constB28)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35925, 35921])).
% 21.04/14.62 tff(35927,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB28) | (~v163(constB28)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB28) | (~v163(constB28)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35928,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB28) | (~v163(constB28)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35929,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB28) | (~v163(constB28))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35928, 35927])).
% 21.04/14.62 tff(35930,plain,
% 21.04/14.62 (~v163(constB28)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35929, 22825, 35926])).
% 21.04/14.62 tff(35931,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB28) | (~v164(constB28)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB28) | (~v164(constB28)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35932,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB28) | (~v164(constB28)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35933,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB28) | (~v164(constB28))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35932, 35931])).
% 21.04/14.62 tff(35934,plain,
% 21.04/14.62 (~v164(constB28)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35933, 22836, 26277])).
% 21.04/14.62 tff(35935,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB28)) | v164(constB28) | v163(constB28))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB28)) | v164(constB28) | v163(constB28))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35936,plain,
% 21.04/14.62 ((v164(constB28) | v163(constB28) | (~v160(constB28))) <=> ((~v160(constB28)) | v164(constB28) | v163(constB28))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35937,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB28) | v163(constB28) | (~v160(constB28)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB28)) | v164(constB28) | v163(constB28)))),
% 21.04/14.62 inference(monotonicity,[status(thm)],[35936])).
% 21.04/14.62 tff(35938,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB28) | v163(constB28) | (~v160(constB28)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB28)) | v164(constB28) | v163(constB28))),
% 21.04/14.62 inference(transitivity,[status(thm)],[35937, 35935])).
% 21.04/14.62 tff(35939,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB28) | v163(constB28) | (~v160(constB28)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35940,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB28)) | v164(constB28) | v163(constB28)),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35939, 35938])).
% 21.04/14.62 tff(35941,plain,
% 21.04/14.62 ((~v160(constB28)) | v163(constB28)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35940, 22795, 35934])).
% 21.04/14.62 tff(35942,plain,
% 21.04/14.62 (~v160(constB28)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35941, 35930])).
% 21.04/14.62 tff(35943,plain,
% 21.04/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35944,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35945,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35944, 35943])).
% 21.04/14.62 tff(35946,plain,
% 21.04/14.62 (v160(constB28) | (~v162(constB29))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35945, 22813, 3665])).
% 21.04/14.62 tff(35947,plain,
% 21.04/14.62 (~v162(constB29)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35946, 35942])).
% 21.04/14.62 tff(35948,plain,
% 21.04/14.62 ($false),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35947, 35818])).
% 21.04/14.62 tff(35949,plain,(~(constB29 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.04/14.62 tff(35950,assumption,(constB12 = sK0_VarCurr), introduced(assumption)).
% 21.04/14.62 tff(35951,plain,
% 21.04/14.62 (v1(constB12) <=> v1(sK0_VarCurr)),
% 21.04/14.62 inference(monotonicity,[status(thm)],[35950])).
% 21.04/14.62 tff(35952,plain,
% 21.04/14.62 (v1(sK0_VarCurr) <=> v1(constB12)),
% 21.04/14.62 inference(symmetry,[status(thm)],[35951])).
% 21.04/14.62 tff(35953,plain,
% 21.04/14.62 ((~v1(sK0_VarCurr)) <=> (~v1(constB12))),
% 21.04/14.62 inference(monotonicity,[status(thm)],[35952])).
% 21.04/14.62 tff(35954,plain,
% 21.04/14.62 (~v1(constB12)),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[23510, 35953])).
% 21.04/14.62 tff(35955,plain,
% 21.04/14.62 ($false),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[1726, 35954])).
% 21.04/14.62 tff(35956,plain,(~(constB12 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.04/14.62 tff(35957,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 21.04/14.62 tff(35958,plain,
% 21.04/14.62 (v162(constB87) <=> v162(sK0_VarCurr)),
% 21.04/14.62 inference(monotonicity,[status(thm)],[35957])).
% 21.04/14.62 tff(35959,plain,
% 21.04/14.62 (v162(sK0_VarCurr) <=> v162(constB87)),
% 21.04/14.62 inference(symmetry,[status(thm)],[35958])).
% 21.04/14.62 tff(35960,plain,
% 21.04/14.62 (v162(constB87)),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[22337, 35959])).
% 21.04/14.62 tff(35961,plain,
% 21.04/14.62 (~v145(constB81)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[10330, 10327, 9138])).
% 21.04/14.62 tff(35962,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB81) | (~v144(constB81)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB81) | (~v144(constB81)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35963,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB81) | (~v144(constB81)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35964,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB81) | (~v144(constB81))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35963, 35962])).
% 21.04/14.62 tff(35965,plain,
% 21.04/14.62 (~v144(constB81)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35964, 22349, 35961])).
% 21.04/14.62 tff(35966,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB81) | (~v142(constB81)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB81) | (~v142(constB81)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35967,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB81) | (~v142(constB81)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35968,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB81) | (~v142(constB81))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35967, 35966])).
% 21.04/14.62 tff(35969,plain,
% 21.04/14.62 (~v142(constB81)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35968, 22360, 35965])).
% 21.04/14.62 tff(35970,plain,
% 21.04/14.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB81)) | (~v138(constB81)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB81)) | (~v138(constB81)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35971,plain,
% 21.04/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB81)) | (~v138(constB81)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35972,plain,
% 21.04/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB81)) | (~v138(constB81))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35971, 35970])).
% 21.04/14.62 tff(35973,plain,
% 21.04/14.62 (~v138(constB81)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35972, 22419, 26517])).
% 21.04/14.62 tff(35974,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB81) | v142(constB81) | (~v135(constB81)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB81) | v142(constB81) | (~v135(constB81)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35975,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB81) | v142(constB81) | (~v135(constB81)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35976,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB81) | v142(constB81) | (~v135(constB81))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35975, 35974])).
% 21.04/14.62 tff(35977,plain,
% 21.04/14.62 (v142(constB81) | (~v135(constB81))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35976, 22436, 35973])).
% 21.04/14.62 tff(35978,plain,
% 21.04/14.62 (~v135(constB81)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35977, 35969])).
% 21.04/14.62 tff(35979,plain,
% 21.04/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35980,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35981,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35980, 35979])).
% 21.04/14.62 tff(35982,plain,
% 21.04/14.62 (v135(constB81) | (~v137(constB82))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35981, 22451, 9245])).
% 21.04/14.62 tff(35983,plain,
% 21.04/14.62 (~v137(constB82)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35982, 35978])).
% 21.04/14.62 tff(35984,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB82) | (~v138(constB82)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB82) | (~v138(constB82)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35985,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB82) | (~v138(constB82)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35986,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB82) | (~v138(constB82))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35985, 35984])).
% 21.04/14.62 tff(35987,plain,
% 21.04/14.62 (~v138(constB82)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35986, 22463, 35983])).
% 21.04/14.62 tff(35988,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB82) | (~v144(constB82)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB82) | (~v144(constB82)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35989,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB82) | (~v144(constB82)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35990,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB82) | (~v144(constB82))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35989, 35988])).
% 21.04/14.62 tff(35991,plain,
% 21.04/14.62 (~v144(constB82)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35990, 22485, 26539])).
% 21.04/14.62 tff(35992,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB82) | (~v142(constB82)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB82) | (~v142(constB82)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35993,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB82) | (~v142(constB82)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35994,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB82) | (~v142(constB82))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35993, 35992])).
% 21.04/14.62 tff(35995,plain,
% 21.04/14.62 (~v142(constB82)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35994, 22360, 35991])).
% 21.04/14.62 tff(35996,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB82) | v142(constB82) | (~v135(constB82)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB82) | v142(constB82) | (~v135(constB82)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(35997,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB82) | v142(constB82) | (~v135(constB82)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(35998,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB82) | v142(constB82) | (~v135(constB82))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[35997, 35996])).
% 21.04/14.62 tff(35999,plain,
% 21.04/14.62 (v138(constB82) | (~v135(constB82))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35998, 22436, 35995])).
% 21.04/14.62 tff(36000,plain,
% 21.04/14.62 (~v135(constB82)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[35999, 35987])).
% 21.04/14.62 tff(36001,plain,
% 21.04/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36002,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36003,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36002, 36001])).
% 21.04/14.62 tff(36004,plain,
% 21.04/14.62 (v135(constB82) | (~v137(constB83))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36003, 22451, 9311])).
% 21.04/14.62 tff(36005,plain,
% 21.04/14.62 (~v137(constB83)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36004, 36000])).
% 21.04/14.62 tff(36006,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB83) | (~v153(constB83)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB83) | (~v153(constB83)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36007,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB83) | (~v153(constB83)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36008,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB83) | (~v153(constB83))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36007, 36006])).
% 21.04/14.62 tff(36009,plain,
% 21.04/14.62 (~v153(constB83)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36008, 22510, 36005])).
% 21.04/14.62 tff(36010,plain,
% 21.04/14.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB83)) | (~v155(constB83)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB83)) | (~v155(constB83)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36011,plain,
% 21.04/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB83)) | (~v155(constB83)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36012,plain,
% 21.04/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB83)) | (~v155(constB83))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36011, 36010])).
% 21.04/14.62 tff(36013,plain,
% 21.04/14.62 (~v155(constB83)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36012, 22552, 26592])).
% 21.04/14.62 tff(36014,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB83) | v155(constB83) | (~v150(constB83)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB83) | v155(constB83) | (~v150(constB83)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36015,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB83) | v155(constB83) | (~v150(constB83)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36016,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB83) | v155(constB83) | (~v150(constB83))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36015, 36014])).
% 21.04/14.62 tff(36017,plain,
% 21.04/14.62 (v153(constB83) | (~v150(constB83))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36016, 22566, 36013])).
% 21.04/14.62 tff(36018,plain,
% 21.04/14.62 (~v150(constB83)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36017, 36009])).
% 21.04/14.62 tff(36019,plain,
% 21.04/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36020,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36021,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36020, 36019])).
% 21.04/14.62 tff(36022,plain,
% 21.04/14.62 (v150(constB83) | (~v152(constB84))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36021, 22581, 9425])).
% 21.04/14.62 tff(36023,plain,
% 21.04/14.62 (~v152(constB84)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36022, 36018])).
% 21.04/14.62 tff(36024,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB84) | (~v155(constB84)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB84) | (~v155(constB84)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36025,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB84) | (~v155(constB84)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36026,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB84) | (~v155(constB84))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36025, 36024])).
% 21.04/14.62 tff(36027,plain,
% 21.04/14.62 (~v155(constB84)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36026, 22593, 36023])).
% 21.04/14.62 tff(36028,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB84) | (~v153(constB84)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB84) | (~v153(constB84)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36029,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB84) | (~v153(constB84)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36030,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB84) | (~v153(constB84))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36029, 36028])).
% 21.04/14.62 tff(36031,plain,
% 21.04/14.62 (~v153(constB84)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36030, 22619, 26621])).
% 21.04/14.62 tff(36032,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB84) | v155(constB84) | (~v150(constB84)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB84) | v155(constB84) | (~v150(constB84)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36033,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB84) | v155(constB84) | (~v150(constB84)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36034,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB84) | v155(constB84) | (~v150(constB84))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36033, 36032])).
% 21.04/14.62 tff(36035,plain,
% 21.04/14.62 (v155(constB84) | (~v150(constB84))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36034, 22566, 36031])).
% 21.04/14.62 tff(36036,plain,
% 21.04/14.62 (~v150(constB84)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36035, 36027])).
% 21.04/14.62 tff(36037,plain,
% 21.04/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36038,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36039,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36038, 36037])).
% 21.04/14.62 tff(36040,plain,
% 21.04/14.62 (v150(constB84) | (~v152(constB85))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36039, 22581, 9487])).
% 21.04/14.62 tff(36041,plain,
% 21.04/14.62 (~v152(constB85)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36040, 36036])).
% 21.04/14.62 tff(36042,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB85) | (~v164(constB85)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB85) | (~v164(constB85)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36043,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB85) | (~v164(constB85)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36044,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB85) | (~v164(constB85))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36043, 36042])).
% 21.04/14.62 tff(36045,plain,
% 21.04/14.62 (~v164(constB85)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36044, 22640, 36041])).
% 21.04/14.62 tff(36046,plain,
% 21.04/14.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB85)) | (~v163(constB85)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB85)) | (~v163(constB85)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36047,plain,
% 21.04/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB85)) | (~v163(constB85)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36048,plain,
% 21.04/14.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB85)) | (~v163(constB85))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36047, 36046])).
% 21.04/14.62 tff(36049,plain,
% 21.04/14.62 (~v163(constB85)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36048, 22781, 27567])).
% 21.04/14.62 tff(36050,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB85)) | v164(constB85) | v163(constB85))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB85)) | v164(constB85) | v163(constB85))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36051,plain,
% 21.04/14.62 ((v164(constB85) | v163(constB85) | (~v160(constB85))) <=> ((~v160(constB85)) | v164(constB85) | v163(constB85))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36052,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB85) | v163(constB85) | (~v160(constB85)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB85)) | v164(constB85) | v163(constB85)))),
% 21.04/14.62 inference(monotonicity,[status(thm)],[36051])).
% 21.04/14.62 tff(36053,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB85) | v163(constB85) | (~v160(constB85)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB85)) | v164(constB85) | v163(constB85))),
% 21.04/14.62 inference(transitivity,[status(thm)],[36052, 36050])).
% 21.04/14.62 tff(36054,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB85) | v163(constB85) | (~v160(constB85)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36055,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB85)) | v164(constB85) | v163(constB85)),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36054, 36053])).
% 21.04/14.62 tff(36056,plain,
% 21.04/14.62 ((~v160(constB85)) | v164(constB85)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36055, 22795, 36049])).
% 21.04/14.62 tff(36057,plain,
% 21.04/14.62 (~v160(constB85)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36056, 36045])).
% 21.04/14.62 tff(36058,plain,
% 21.04/14.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36059,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36060,plain,
% 21.04/14.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36059, 36058])).
% 21.04/14.62 tff(36061,plain,
% 21.04/14.62 (v160(constB85) | (~v162(constB86))),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36060, 22813, 9600])).
% 21.04/14.62 tff(36062,plain,
% 21.04/14.62 (~v162(constB86)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36061, 36057])).
% 21.04/14.62 tff(36063,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB86) | (~v163(constB86)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB86) | (~v163(constB86)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36064,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB86) | (~v163(constB86)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36065,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB86) | (~v163(constB86))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36064, 36063])).
% 21.04/14.62 tff(36066,plain,
% 21.04/14.62 (~v163(constB86)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36065, 22825, 36062])).
% 21.04/14.62 tff(36067,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB86) | (~v164(constB86)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB86) | (~v164(constB86)))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36068,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB86) | (~v164(constB86)))),
% 21.04/14.62 inference(quant_inst,[status(thm)],[])).
% 21.04/14.62 tff(36069,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB86) | (~v164(constB86))),
% 21.04/14.62 inference(modus_ponens,[status(thm)],[36068, 36067])).
% 21.04/14.62 tff(36070,plain,
% 21.04/14.62 (~v164(constB86)),
% 21.04/14.62 inference(unit_resolution,[status(thm)],[36069, 22836, 27593])).
% 21.04/14.62 tff(36071,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB86)) | v164(constB86) | v163(constB86))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB86)) | v164(constB86) | v163(constB86))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36072,plain,
% 21.04/14.62 ((v164(constB86) | v163(constB86) | (~v160(constB86))) <=> ((~v160(constB86)) | v164(constB86) | v163(constB86))),
% 21.04/14.62 inference(rewrite,[status(thm)],[])).
% 21.04/14.62 tff(36073,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB86) | v163(constB86) | (~v160(constB86)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB86)) | v164(constB86) | v163(constB86)))),
% 21.04/14.62 inference(monotonicity,[status(thm)],[36072])).
% 21.04/14.62 tff(36074,plain,
% 21.04/14.62 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB86) | v163(constB86) | (~v160(constB86)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB86)) | v164(constB86) | v163(constB86))),
% 21.04/14.62 inference(transitivity,[status(thm)],[36073, 36071])).
% 21.04/14.62 tff(36075,plain,
% 21.04/14.62 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB86) | v163(constB86) | (~v160(constB86)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36076,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB86)) | v164(constB86) | v163(constB86)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36075, 36074])).
% 21.05/14.63 tff(36077,plain,
% 21.05/14.63 ((~v160(constB86)) | v163(constB86)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36076, 22795, 36070])).
% 21.05/14.63 tff(36078,plain,
% 21.05/14.63 (~v160(constB86)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36077, 36066])).
% 21.05/14.63 tff(36079,plain,
% 21.05/14.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36080,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36081,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36080, 36079])).
% 21.05/14.63 tff(36082,plain,
% 21.05/14.63 (v160(constB86) | (~v162(constB87))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36081, 22813, 11281])).
% 21.05/14.63 tff(36083,plain,
% 21.05/14.63 (~v162(constB87)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36082, 36078])).
% 21.05/14.63 tff(36084,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36083, 35960])).
% 21.05/14.63 tff(36085,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36086,assumption,(constB150 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36087,plain,
% 21.05/14.63 (v1(constB150) <=> v1(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36086])).
% 21.05/14.63 tff(36088,plain,
% 21.05/14.63 (v1(sK0_VarCurr) <=> v1(constB150)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36087])).
% 21.05/14.63 tff(36089,plain,
% 21.05/14.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB150))),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36088])).
% 21.05/14.63 tff(36090,plain,
% 21.05/14.63 (~v1(constB150)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[23510, 36089])).
% 21.05/14.63 tff(36091,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[18262, 36090])).
% 21.05/14.63 tff(36092,plain,(~(constB150 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36093,assumption,(constB54 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36094,plain,
% 21.05/14.63 (v1(constB54) <=> v1(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36093])).
% 21.05/14.63 tff(36095,plain,
% 21.05/14.63 (v1(sK0_VarCurr) <=> v1(constB54)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36094])).
% 21.05/14.63 tff(36096,plain,
% 21.05/14.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB54))),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36095])).
% 21.05/14.63 tff(36097,plain,
% 21.05/14.63 (~v1(constB54)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[23510, 36096])).
% 21.05/14.63 tff(36098,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[6294, 36097])).
% 21.05/14.63 tff(36099,plain,(~(constB54 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36100,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36101,plain,
% 21.05/14.63 (v162(constB13) <=> v162(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36100])).
% 21.05/14.63 tff(36102,plain,
% 21.05/14.63 (v162(sK0_VarCurr) <=> v162(constB13)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36101])).
% 21.05/14.63 tff(36103,plain,
% 21.05/14.63 (v162(constB13)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[22337, 36102])).
% 21.05/14.63 tff(36104,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[29676, 36103])).
% 21.05/14.63 tff(36105,plain,(~(constB13 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36106,assumption,(constB160 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36107,plain,
% 21.05/14.63 (v1(constB160) <=> v1(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36106])).
% 21.05/14.63 tff(36108,plain,
% 21.05/14.63 (v1(sK0_VarCurr) <=> v1(constB160)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36107])).
% 21.05/14.63 tff(36109,plain,
% 21.05/14.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB160))),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36108])).
% 21.05/14.63 tff(36110,plain,
% 21.05/14.63 (~v1(constB160)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[23510, 36109])).
% 21.05/14.63 tff(36111,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[19364, 36110])).
% 21.05/14.63 tff(36112,plain,(~(constB160 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36113,assumption,(constB200 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36114,plain,
% 21.05/14.63 (v1(constB200) <=> v1(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36113])).
% 21.05/14.63 tff(36115,plain,
% 21.05/14.63 (v1(sK0_VarCurr) <=> v1(constB200)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36114])).
% 21.05/14.63 tff(36116,plain,
% 21.05/14.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB200))),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36115])).
% 21.05/14.63 tff(36117,plain,
% 21.05/14.63 (~v1(constB200)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[23510, 36116])).
% 21.05/14.63 tff(36118,plain,
% 21.05/14.63 (v1(constB200) <=> v1(constB200)),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36119,axiom,(v1(constB200)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_200_1')).
% 21.05/14.63 tff(36120,plain,
% 21.05/14.63 (v1(constB200)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36119, 36118])).
% 21.05/14.63 tff(36121,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36120, 36117])).
% 21.05/14.63 tff(36122,plain,(~(constB200 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36123,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36124,plain,
% 21.05/14.63 (v1(constB152) <=> v1(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36123])).
% 21.05/14.63 tff(36125,plain,
% 21.05/14.63 (v1(sK0_VarCurr) <=> v1(constB152)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36124])).
% 21.05/14.63 tff(36126,plain,
% 21.05/14.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36125])).
% 21.05/14.63 tff(36127,plain,
% 21.05/14.63 (~v1(constB152)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[23510, 36126])).
% 21.05/14.63 tff(36128,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[18449, 36127])).
% 21.05/14.63 tff(36129,plain,(~(constB152 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36130,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36131,plain,
% 21.05/14.63 (v162(constB115) <=> v162(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36130])).
% 21.05/14.63 tff(36132,plain,
% 21.05/14.63 (v162(sK0_VarCurr) <=> v162(constB115)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36131])).
% 21.05/14.63 tff(36133,plain,
% 21.05/14.63 (v162(constB115)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[22337, 36132])).
% 21.05/14.63 tff(36134,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB109) | (~v144(constB109)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB109) | (~v144(constB109)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36135,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB109) | (~v144(constB109)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36136,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB109) | (~v144(constB109))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36135, 36134])).
% 21.05/14.63 tff(36137,plain,
% 21.05/14.63 (~v144(constB109)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36136, 22349, 13988])).
% 21.05/14.63 tff(36138,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB109) | (~v142(constB109)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36139,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB109) | (~v142(constB109)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36140,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB109) | (~v142(constB109))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36139, 36138])).
% 21.05/14.63 tff(36141,plain,
% 21.05/14.63 (~v142(constB109)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36140, 22360, 36137])).
% 21.05/14.63 tff(36142,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB109) | (~v138(constB109)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB109) | (~v138(constB109)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36143,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB109) | (~v138(constB109)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36144,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB109) | (~v138(constB109))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36143, 36142])).
% 21.05/14.63 tff(36145,plain,
% 21.05/14.63 (~v138(constB109)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36144, 22463, 32548])).
% 21.05/14.63 tff(36146,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB109) | v142(constB109) | (~v135(constB109)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB109) | v142(constB109) | (~v135(constB109)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36147,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB109) | v142(constB109) | (~v135(constB109)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36148,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB109) | v142(constB109) | (~v135(constB109))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36147, 36146])).
% 21.05/14.63 tff(36149,plain,
% 21.05/14.63 (v142(constB109) | (~v135(constB109))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36148, 22436, 36145])).
% 21.05/14.63 tff(36150,plain,
% 21.05/14.63 (~v135(constB109)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36149, 36141])).
% 21.05/14.63 tff(36151,plain,
% 21.05/14.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36152,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36153,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36152, 36151])).
% 21.05/14.63 tff(36154,plain,
% 21.05/14.63 (v135(constB109) | (~v137(constB110))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36153, 22451, 14010])).
% 21.05/14.63 tff(36155,plain,
% 21.05/14.63 (~v137(constB110)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36154, 36150])).
% 21.05/14.63 tff(36156,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB110) | (~v138(constB110)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB110) | (~v138(constB110)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36157,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB110) | (~v138(constB110)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36158,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB110) | (~v138(constB110))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36157, 36156])).
% 21.05/14.63 tff(36159,plain,
% 21.05/14.63 (~v138(constB110)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36158, 22463, 36155])).
% 21.05/14.63 tff(36160,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB110) | (~v144(constB110)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB110) | (~v144(constB110)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36161,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB110) | (~v144(constB110)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36162,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB110) | (~v144(constB110))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36161, 36160])).
% 21.05/14.63 tff(36163,plain,
% 21.05/14.63 (~v144(constB110)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36162, 22485, 23912])).
% 21.05/14.63 tff(36164,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB110) | (~v142(constB110)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB110) | (~v142(constB110)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36165,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB110) | (~v142(constB110)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36166,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB110) | (~v142(constB110))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36165, 36164])).
% 21.05/14.63 tff(36167,plain,
% 21.05/14.63 (~v142(constB110)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36166, 22360, 36163])).
% 21.05/14.63 tff(36168,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB110) | v142(constB110) | (~v135(constB110)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB110) | v142(constB110) | (~v135(constB110)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36169,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB110) | v142(constB110) | (~v135(constB110)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36170,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB110) | v142(constB110) | (~v135(constB110))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36169, 36168])).
% 21.05/14.63 tff(36171,plain,
% 21.05/14.63 (v138(constB110) | (~v135(constB110))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36170, 22436, 36167])).
% 21.05/14.63 tff(36172,plain,
% 21.05/14.63 (~v135(constB110)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36171, 36159])).
% 21.05/14.63 tff(36173,plain,
% 21.05/14.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36174,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36175,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36174, 36173])).
% 21.05/14.63 tff(36176,plain,
% 21.05/14.63 (v135(constB110) | (~v137(constB111))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36175, 22451, 14121])).
% 21.05/14.63 tff(36177,plain,
% 21.05/14.63 (~v137(constB111)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36176, 36172])).
% 21.05/14.63 tff(36178,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB111) | (~v153(constB111)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB111) | (~v153(constB111)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36179,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB111) | (~v153(constB111)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36180,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB111) | (~v153(constB111))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36179, 36178])).
% 21.05/14.63 tff(36181,plain,
% 21.05/14.63 (~v153(constB111)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36180, 22510, 36177])).
% 21.05/14.63 tff(36182,plain,
% 21.05/14.63 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB111)) | (~v155(constB111)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB111)) | (~v155(constB111)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36183,plain,
% 21.05/14.63 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB111)) | (~v155(constB111)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36184,plain,
% 21.05/14.63 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB111)) | (~v155(constB111))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36183, 36182])).
% 21.05/14.63 tff(36185,plain,
% 21.05/14.63 (~v155(constB111)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36184, 22552, 32619])).
% 21.05/14.63 tff(36186,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB111) | v155(constB111) | (~v150(constB111)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB111) | v155(constB111) | (~v150(constB111)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36187,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB111) | v155(constB111) | (~v150(constB111)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36188,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB111) | v155(constB111) | (~v150(constB111))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36187, 36186])).
% 21.05/14.63 tff(36189,plain,
% 21.05/14.63 (v153(constB111) | (~v150(constB111))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36188, 22566, 36185])).
% 21.05/14.63 tff(36190,plain,
% 21.05/14.63 (~v150(constB111)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36189, 36181])).
% 21.05/14.63 tff(36191,plain,
% 21.05/14.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36192,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36193,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36192, 36191])).
% 21.05/14.63 tff(36194,plain,
% 21.05/14.63 (v150(constB111) | (~v152(constB112))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36193, 22581, 14255])).
% 21.05/14.63 tff(36195,plain,
% 21.05/14.63 (~v152(constB112)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36194, 36190])).
% 21.05/14.63 tff(36196,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB112) | (~v155(constB112)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB112) | (~v155(constB112)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36197,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB112) | (~v155(constB112)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36198,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB112) | (~v155(constB112))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36197, 36196])).
% 21.05/14.63 tff(36199,plain,
% 21.05/14.63 (~v155(constB112)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36198, 22593, 36195])).
% 21.05/14.63 tff(36200,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB112) | (~v153(constB112)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB112) | (~v153(constB112)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36201,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB112) | (~v153(constB112)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36202,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB112) | (~v153(constB112))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36201, 36200])).
% 21.05/14.63 tff(36203,plain,
% 21.05/14.63 (~v153(constB112)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36202, 22619, 32648])).
% 21.05/14.63 tff(36204,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB112) | v155(constB112) | (~v150(constB112)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB112) | v155(constB112) | (~v150(constB112)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36205,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB112) | v155(constB112) | (~v150(constB112)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36206,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB112) | v155(constB112) | (~v150(constB112))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36205, 36204])).
% 21.05/14.63 tff(36207,plain,
% 21.05/14.63 (v155(constB112) | (~v150(constB112))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36206, 22566, 36203])).
% 21.05/14.63 tff(36208,plain,
% 21.05/14.63 (~v150(constB112)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36207, 36199])).
% 21.05/14.63 tff(36209,plain,
% 21.05/14.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36210,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36211,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36210, 36209])).
% 21.05/14.63 tff(36212,plain,
% 21.05/14.63 (v150(constB112) | (~v152(constB113))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36211, 22581, 14320])).
% 21.05/14.63 tff(36213,plain,
% 21.05/14.63 (~v152(constB113)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36212, 36208])).
% 21.05/14.63 tff(36214,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB113) | (~v164(constB113)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB113) | (~v164(constB113)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36215,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB113) | (~v164(constB113)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36216,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB113) | (~v164(constB113))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36215, 36214])).
% 21.05/14.63 tff(36217,plain,
% 21.05/14.63 (~v164(constB113)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36216, 22640, 36213])).
% 21.05/14.63 tff(36218,plain,
% 21.05/14.63 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB113)) | (~v163(constB113)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB113)) | (~v163(constB113)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36219,plain,
% 21.05/14.63 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB113)) | (~v163(constB113)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36220,plain,
% 21.05/14.63 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB113)) | (~v163(constB113))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36219, 36218])).
% 21.05/14.63 tff(36221,plain,
% 21.05/14.63 (~v163(constB113)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36220, 22781, 32164])).
% 21.05/14.63 tff(36222,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB113)) | v163(constB113) | v164(constB113))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB113)) | v163(constB113) | v164(constB113))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36223,plain,
% 21.05/14.63 ((v164(constB113) | v163(constB113) | (~v160(constB113))) <=> ((~v160(constB113)) | v163(constB113) | v164(constB113))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36224,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB113) | v163(constB113) | (~v160(constB113)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB113)) | v163(constB113) | v164(constB113)))),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36223])).
% 21.05/14.63 tff(36225,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB113) | v163(constB113) | (~v160(constB113)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB113)) | v163(constB113) | v164(constB113))),
% 21.05/14.63 inference(transitivity,[status(thm)],[36224, 36222])).
% 21.05/14.63 tff(36226,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB113) | v163(constB113) | (~v160(constB113)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36227,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB113)) | v163(constB113) | v164(constB113)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36226, 36225])).
% 21.05/14.63 tff(36228,plain,
% 21.05/14.63 ((~v160(constB113)) | v164(constB113)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36227, 22795, 36221])).
% 21.05/14.63 tff(36229,plain,
% 21.05/14.63 (~v160(constB113)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36228, 36217])).
% 21.05/14.63 tff(36230,plain,
% 21.05/14.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36231,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36232,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36231, 36230])).
% 21.05/14.63 tff(36233,plain,
% 21.05/14.63 (v160(constB113) | (~v162(constB114))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36232, 22813, 14449])).
% 21.05/14.63 tff(36234,plain,
% 21.05/14.63 (~v162(constB114)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36233, 36229])).
% 21.05/14.63 tff(36235,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB114) | (~v163(constB114)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB114) | (~v163(constB114)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36236,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB114) | (~v163(constB114)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36237,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB114) | (~v163(constB114))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36236, 36235])).
% 21.05/14.63 tff(36238,plain,
% 21.05/14.63 (~v163(constB114)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36237, 22825, 36234])).
% 21.05/14.63 tff(36239,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB114) | (~v154(constB114)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB114) | (~v154(constB114)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36240,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB114) | (~v154(constB114)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36241,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB114) | (~v154(constB114))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36240, 36239])).
% 21.05/14.63 tff(36242,plain,
% 21.05/14.63 (~v154(constB114)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36241, 22608, 32189])).
% 21.05/14.63 tff(36243,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB114) | (~v164(constB114)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB114) | (~v164(constB114)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36244,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB114) | (~v164(constB114)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36245,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB114) | (~v164(constB114))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36244, 36243])).
% 21.05/14.63 tff(36246,plain,
% 21.05/14.63 (~v164(constB114)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36245, 22836, 36242])).
% 21.05/14.63 tff(36247,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB114)) | v164(constB114) | v163(constB114))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB114)) | v164(constB114) | v163(constB114))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36248,plain,
% 21.05/14.63 ((v164(constB114) | v163(constB114) | (~v160(constB114))) <=> ((~v160(constB114)) | v164(constB114) | v163(constB114))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36249,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB114) | v163(constB114) | (~v160(constB114)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB114)) | v164(constB114) | v163(constB114)))),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36248])).
% 21.05/14.63 tff(36250,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB114) | v163(constB114) | (~v160(constB114)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB114)) | v164(constB114) | v163(constB114))),
% 21.05/14.63 inference(transitivity,[status(thm)],[36249, 36247])).
% 21.05/14.63 tff(36251,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB114) | v163(constB114) | (~v160(constB114)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36252,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB114)) | v164(constB114) | v163(constB114)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36251, 36250])).
% 21.05/14.63 tff(36253,plain,
% 21.05/14.63 ((~v160(constB114)) | v163(constB114)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36252, 22795, 36246])).
% 21.05/14.63 tff(36254,plain,
% 21.05/14.63 (~v160(constB114)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36253, 36238])).
% 21.05/14.63 tff(36255,plain,
% 21.05/14.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36256,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36257,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36256, 36255])).
% 21.05/14.63 tff(36258,plain,
% 21.05/14.63 (v160(constB114) | (~v162(constB115))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36257, 22813, 14514])).
% 21.05/14.63 tff(36259,plain,
% 21.05/14.63 (~v162(constB115)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36258, 36254])).
% 21.05/14.63 tff(36260,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36259, 36133])).
% 21.05/14.63 tff(36261,plain,(~(constB115 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36262,assumption,(constB182 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36263,plain,
% 21.05/14.63 (v1(constB182) <=> v1(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36262])).
% 21.05/14.63 tff(36264,plain,
% 21.05/14.63 (v1(sK0_VarCurr) <=> v1(constB182)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36263])).
% 21.05/14.63 tff(36265,plain,
% 21.05/14.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB182))),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36264])).
% 21.05/14.63 tff(36266,plain,
% 21.05/14.63 (~v1(constB182)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[23510, 36265])).
% 21.05/14.63 tff(36267,plain,
% 21.05/14.63 ($false),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[21518, 36266])).
% 21.05/14.63 tff(36268,plain,(~(constB182 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.63 tff(36269,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.63 tff(36270,plain,
% 21.05/14.63 (v162(constB75) <=> v162(sK0_VarCurr)),
% 21.05/14.63 inference(monotonicity,[status(thm)],[36269])).
% 21.05/14.63 tff(36271,plain,
% 21.05/14.63 (v162(sK0_VarCurr) <=> v162(constB75)),
% 21.05/14.63 inference(symmetry,[status(thm)],[36270])).
% 21.05/14.63 tff(36272,plain,
% 21.05/14.63 (v162(constB75)),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[22337, 36271])).
% 21.05/14.63 tff(36273,plain,
% 21.05/14.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex2)) | (~v145(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB69, bitIndex2)) | (~v145(constB69)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36274,plain,
% 21.05/14.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex2)) | (~v145(constB69)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36275,plain,
% 21.05/14.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB69, bitIndex2)) | (~v145(constB69))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36274, 36273])).
% 21.05/14.63 tff(36276,plain,
% 21.05/14.63 (~v145(constB69)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36275, 10327, 7690])).
% 21.05/14.63 tff(36277,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB69) | (~v144(constB69)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB69) | (~v144(constB69)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36278,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB69) | (~v144(constB69)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36279,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB69) | (~v144(constB69))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36278, 36277])).
% 21.05/14.63 tff(36280,plain,
% 21.05/14.63 (~v144(constB69)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36279, 22349, 36276])).
% 21.05/14.63 tff(36281,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB69) | (~v142(constB69)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB69) | (~v142(constB69)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36282,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB69) | (~v142(constB69)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36283,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB69) | (~v142(constB69))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36282, 36281])).
% 21.05/14.63 tff(36284,plain,
% 21.05/14.63 (~v142(constB69)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36283, 22360, 36280])).
% 21.05/14.63 tff(36285,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB69) | (~v138(constB69)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB69) | (~v138(constB69)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36286,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB69) | (~v138(constB69)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36287,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB69) | (~v138(constB69))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36286, 36285])).
% 21.05/14.63 tff(36288,plain,
% 21.05/14.63 (~v138(constB69)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36287, 22463, 31934])).
% 21.05/14.63 tff(36289,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB69) | v142(constB69) | (~v135(constB69)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB69) | v142(constB69) | (~v135(constB69)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36290,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB69) | v142(constB69) | (~v135(constB69)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36291,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB69) | v142(constB69) | (~v135(constB69))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36290, 36289])).
% 21.05/14.63 tff(36292,plain,
% 21.05/14.63 (v142(constB69) | (~v135(constB69))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36291, 22436, 36288])).
% 21.05/14.63 tff(36293,plain,
% 21.05/14.63 (~v135(constB69)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36292, 36284])).
% 21.05/14.63 tff(36294,plain,
% 21.05/14.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36295,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36296,plain,
% 21.05/14.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36295, 36294])).
% 21.05/14.63 tff(36297,plain,
% 21.05/14.63 (v135(constB69) | (~v137(constB70))),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36296, 22451, 7793])).
% 21.05/14.63 tff(36298,plain,
% 21.05/14.63 (~v137(constB70)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36297, 36293])).
% 21.05/14.63 tff(36299,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB70) | (~v138(constB70)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB70) | (~v138(constB70)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36300,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB70) | (~v138(constB70)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36301,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB70) | (~v138(constB70))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36300, 36299])).
% 21.05/14.63 tff(36302,plain,
% 21.05/14.63 (~v138(constB70)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36301, 22463, 36298])).
% 21.05/14.63 tff(36303,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB70) | (~v144(constB70)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB70) | (~v144(constB70)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36304,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB70) | (~v144(constB70)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36305,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB70) | (~v144(constB70))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36304, 36303])).
% 21.05/14.63 tff(36306,plain,
% 21.05/14.63 (~v144(constB70)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36305, 22485, 32051])).
% 21.05/14.63 tff(36307,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB70) | (~v142(constB70)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB70) | (~v142(constB70)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36308,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB70) | (~v142(constB70)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36309,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB70) | (~v142(constB70))),
% 21.05/14.63 inference(modus_ponens,[status(thm)],[36308, 36307])).
% 21.05/14.63 tff(36310,plain,
% 21.05/14.63 (~v142(constB70)),
% 21.05/14.63 inference(unit_resolution,[status(thm)],[36309, 22360, 36306])).
% 21.05/14.63 tff(36311,plain,
% 21.05/14.63 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB70) | v142(constB70) | (~v135(constB70)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB70) | v142(constB70) | (~v135(constB70)))),
% 21.05/14.63 inference(rewrite,[status(thm)],[])).
% 21.05/14.63 tff(36312,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB70) | v142(constB70) | (~v135(constB70)))),
% 21.05/14.63 inference(quant_inst,[status(thm)],[])).
% 21.05/14.63 tff(36313,plain,
% 21.05/14.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB70) | v142(constB70) | (~v135(constB70))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36312, 36311])).
% 21.05/14.64 tff(36314,plain,
% 21.05/14.64 (v138(constB70) | (~v135(constB70))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36313, 22436, 36310])).
% 21.05/14.64 tff(36315,plain,
% 21.05/14.64 (~v135(constB70)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36314, 36302])).
% 21.05/14.64 tff(36316,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36317,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36318,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36317, 36316])).
% 21.05/14.64 tff(36319,plain,
% 21.05/14.64 (v135(constB70) | (~v137(constB71))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36318, 22451, 7855])).
% 21.05/14.64 tff(36320,plain,
% 21.05/14.64 (~v137(constB71)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36319, 36315])).
% 21.05/14.64 tff(36321,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB71) | (~v153(constB71)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB71) | (~v153(constB71)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36322,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB71) | (~v153(constB71)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36323,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB71) | (~v153(constB71))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36322, 36321])).
% 21.05/14.64 tff(36324,plain,
% 21.05/14.64 (~v153(constB71)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36323, 22510, 36320])).
% 21.05/14.64 tff(36325,plain,
% 21.05/14.64 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB71)) | (~v155(constB71)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB71)) | (~v155(constB71)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36326,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB71)) | (~v155(constB71)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36327,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB71)) | (~v155(constB71))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36326, 36325])).
% 21.05/14.64 tff(36328,plain,
% 21.05/14.64 (~v155(constB71)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36327, 22552, 27737])).
% 21.05/14.64 tff(36329,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB71) | v155(constB71) | (~v150(constB71)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB71) | v155(constB71) | (~v150(constB71)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36330,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB71) | v155(constB71) | (~v150(constB71)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36331,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB71) | v155(constB71) | (~v150(constB71))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36330, 36329])).
% 21.05/14.64 tff(36332,plain,
% 21.05/14.64 (v153(constB71) | (~v150(constB71))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36331, 22566, 36328])).
% 21.05/14.64 tff(36333,plain,
% 21.05/14.64 (~v150(constB71)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36332, 36324])).
% 21.05/14.64 tff(36334,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36335,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36336,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36335, 36334])).
% 21.05/14.64 tff(36337,plain,
% 21.05/14.64 (v150(constB71) | (~v152(constB72))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36336, 22581, 7972])).
% 21.05/14.64 tff(36338,plain,
% 21.05/14.64 (~v152(constB72)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36337, 36333])).
% 21.05/14.64 tff(36339,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB72) | (~v155(constB72)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB72) | (~v155(constB72)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36340,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB72) | (~v155(constB72)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36341,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB72) | (~v155(constB72))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36340, 36339])).
% 21.05/14.64 tff(36342,plain,
% 21.05/14.64 (~v155(constB72)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36341, 22593, 36338])).
% 21.05/14.64 tff(36343,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB72) | (~v153(constB72)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB72) | (~v153(constB72)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36344,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB72) | (~v153(constB72)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36345,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB72) | (~v153(constB72))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36344, 36343])).
% 21.05/14.64 tff(36346,plain,
% 21.05/14.64 (~v153(constB72)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36345, 22619, 32098])).
% 21.05/14.64 tff(36347,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB72) | v155(constB72) | (~v150(constB72)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB72) | v155(constB72) | (~v150(constB72)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36348,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB72) | v155(constB72) | (~v150(constB72)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36349,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB72) | v155(constB72) | (~v150(constB72))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36348, 36347])).
% 21.05/14.64 tff(36350,plain,
% 21.05/14.64 (v155(constB72) | (~v150(constB72))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36349, 22566, 36346])).
% 21.05/14.64 tff(36351,plain,
% 21.05/14.64 (~v150(constB72)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36350, 36342])).
% 21.05/14.64 tff(36352,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36353,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36354,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36353, 36352])).
% 21.05/14.64 tff(36355,plain,
% 21.05/14.64 (v150(constB72) | (~v152(constB73))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36354, 22581, 8034])).
% 21.05/14.64 tff(36356,plain,
% 21.05/14.64 (~v152(constB73)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36355, 36351])).
% 21.05/14.64 tff(36357,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB73) | (~v164(constB73)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB73) | (~v164(constB73)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36358,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB73) | (~v164(constB73)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36359,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB73) | (~v164(constB73))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36358, 36357])).
% 21.05/14.64 tff(36360,plain,
% 21.05/14.64 (~v164(constB73)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36359, 22640, 36356])).
% 21.05/14.64 tff(36361,plain,
% 21.05/14.64 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB73)) | (~v163(constB73)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB73)) | (~v163(constB73)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36362,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB73)) | (~v163(constB73)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36363,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB73)) | (~v163(constB73))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36362, 36361])).
% 21.05/14.64 tff(36364,plain,
% 21.05/14.64 (~v163(constB73)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36363, 22781, 26910])).
% 21.05/14.64 tff(36365,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB73)) | v163(constB73) | v164(constB73))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB73)) | v163(constB73) | v164(constB73))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36366,plain,
% 21.05/14.64 ((v164(constB73) | v163(constB73) | (~v160(constB73))) <=> ((~v160(constB73)) | v163(constB73) | v164(constB73))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36367,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB73) | v163(constB73) | (~v160(constB73)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB73)) | v163(constB73) | v164(constB73)))),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36366])).
% 21.05/14.64 tff(36368,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB73) | v163(constB73) | (~v160(constB73)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB73)) | v163(constB73) | v164(constB73))),
% 21.05/14.64 inference(transitivity,[status(thm)],[36367, 36365])).
% 21.05/14.64 tff(36369,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB73) | v163(constB73) | (~v160(constB73)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36370,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB73)) | v163(constB73) | v164(constB73)),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36369, 36368])).
% 21.05/14.64 tff(36371,plain,
% 21.05/14.64 ((~v160(constB73)) | v164(constB73)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36370, 22795, 36364])).
% 21.05/14.64 tff(36372,plain,
% 21.05/14.64 (~v160(constB73)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36371, 36360])).
% 21.05/14.64 tff(36373,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36374,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36375,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36374, 36373])).
% 21.05/14.64 tff(36376,plain,
% 21.05/14.64 (v160(constB73) | (~v162(constB74))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36375, 22813, 8132])).
% 21.05/14.64 tff(36377,plain,
% 21.05/14.64 (~v162(constB74)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36376, 36372])).
% 21.05/14.64 tff(36378,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB74) | (~v163(constB74)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB74) | (~v163(constB74)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36379,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB74) | (~v163(constB74)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36380,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB74) | (~v163(constB74))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36379, 36378])).
% 21.05/14.64 tff(36381,plain,
% 21.05/14.64 (~v163(constB74)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36380, 22825, 36377])).
% 21.05/14.64 tff(36382,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB74) | (~v164(constB74)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB74) | (~v164(constB74)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36383,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB74) | (~v164(constB74)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36384,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB74) | (~v164(constB74))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36383, 36382])).
% 21.05/14.64 tff(36385,plain,
% 21.05/14.64 (~v164(constB74)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36384, 22836, 27806])).
% 21.05/14.64 tff(36386,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB74)) | v164(constB74) | v163(constB74))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB74)) | v164(constB74) | v163(constB74))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36387,plain,
% 21.05/14.64 ((v164(constB74) | v163(constB74) | (~v160(constB74))) <=> ((~v160(constB74)) | v164(constB74) | v163(constB74))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36388,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB74) | v163(constB74) | (~v160(constB74)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB74)) | v164(constB74) | v163(constB74)))),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36387])).
% 21.05/14.64 tff(36389,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB74) | v163(constB74) | (~v160(constB74)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB74)) | v164(constB74) | v163(constB74))),
% 21.05/14.64 inference(transitivity,[status(thm)],[36388, 36386])).
% 21.05/14.64 tff(36390,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB74) | v163(constB74) | (~v160(constB74)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36391,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB74)) | v164(constB74) | v163(constB74)),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36390, 36389])).
% 21.05/14.64 tff(36392,plain,
% 21.05/14.64 ((~v160(constB74)) | v163(constB74)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36391, 22795, 36385])).
% 21.05/14.64 tff(36393,plain,
% 21.05/14.64 (~v160(constB74)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36392, 36381])).
% 21.05/14.64 tff(36394,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36395,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36396,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36395, 36394])).
% 21.05/14.64 tff(36397,plain,
% 21.05/14.64 (v160(constB74) | (~v162(constB75))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36396, 22813, 8367])).
% 21.05/14.64 tff(36398,plain,
% 21.05/14.64 (~v162(constB75)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36397, 36393])).
% 21.05/14.64 tff(36399,plain,
% 21.05/14.64 ($false),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36398, 36272])).
% 21.05/14.64 tff(36400,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.64 tff(36401,assumption,(constB188 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.64 tff(36402,plain,
% 21.05/14.64 (v1(constB188) <=> v1(sK0_VarCurr)),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36401])).
% 21.05/14.64 tff(36403,plain,
% 21.05/14.64 (v1(sK0_VarCurr) <=> v1(constB188)),
% 21.05/14.64 inference(symmetry,[status(thm)],[36402])).
% 21.05/14.64 tff(36404,plain,
% 21.05/14.64 ((~v1(sK0_VarCurr)) <=> (~v1(constB188))),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36403])).
% 21.05/14.64 tff(36405,plain,
% 21.05/14.64 (~v1(constB188)),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[23510, 36404])).
% 21.05/14.64 tff(36406,plain,
% 21.05/14.64 ($false),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[22110, 36405])).
% 21.05/14.64 tff(36407,plain,(~(constB188 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.64 tff(36408,assumption,(constB196 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.64 tff(36409,plain,
% 21.05/14.64 (v1(constB196) <=> v1(sK0_VarCurr)),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36408])).
% 21.05/14.64 tff(36410,plain,
% 21.05/14.64 (v1(sK0_VarCurr) <=> v1(constB196)),
% 21.05/14.64 inference(symmetry,[status(thm)],[36409])).
% 21.05/14.64 tff(36411,plain,
% 21.05/14.64 ((~v1(sK0_VarCurr)) <=> (~v1(constB196))),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36410])).
% 21.05/14.64 tff(36412,plain,
% 21.05/14.64 (~v1(constB196)),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[23510, 36411])).
% 21.05/14.64 tff(36413,plain,
% 21.05/14.64 ($false),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[31000, 36412])).
% 21.05/14.64 tff(36414,plain,(~(constB196 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.64 tff(36415,assumption,(constB121 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.64 tff(36416,plain,
% 21.05/14.64 (v162(constB121) <=> v162(sK0_VarCurr)),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36415])).
% 21.05/14.64 tff(36417,plain,
% 21.05/14.64 (v162(sK0_VarCurr) <=> v162(constB121)),
% 21.05/14.64 inference(symmetry,[status(thm)],[36416])).
% 21.05/14.64 tff(36418,plain,
% 21.05/14.64 (v162(constB121)),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[22337, 36417])).
% 21.05/14.64 tff(36419,plain,
% 21.05/14.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v145(constB115)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36420,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v145(constB115)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36421,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v145(constB115))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36420, 36419])).
% 21.05/14.64 tff(36422,plain,
% 21.05/14.64 (~v145(constB115)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36421, 2012, 14566])).
% 21.05/14.64 tff(36423,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB115) | (~v144(constB115)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB115) | (~v144(constB115)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36424,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB115) | (~v144(constB115)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36425,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB115) | (~v144(constB115))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36424, 36423])).
% 21.05/14.64 tff(36426,plain,
% 21.05/14.64 (~v144(constB115)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36425, 22349, 36422])).
% 21.05/14.64 tff(36427,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB115) | (~v142(constB115)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB115) | (~v142(constB115)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36428,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB115) | (~v142(constB115)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36429,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB115) | (~v142(constB115))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36428, 36427])).
% 21.05/14.64 tff(36430,plain,
% 21.05/14.64 (~v142(constB115)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36429, 22360, 36426])).
% 21.05/14.64 tff(36431,plain,
% 21.05/14.64 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB115)) | (~v140(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB115)) | (~v140(constB115)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36432,plain,
% 21.05/14.64 (((~v140(constB115)) | (~v138(constB115))) <=> ((~v138(constB115)) | (~v140(constB115)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36433,plain,
% 21.05/14.64 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB115)) | (~v138(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB115)) | (~v140(constB115))))),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36432])).
% 21.05/14.64 tff(36434,plain,
% 21.05/14.64 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB115)) | (~v138(constB115)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB115)) | (~v140(constB115)))),
% 21.05/14.64 inference(transitivity,[status(thm)],[36433, 36431])).
% 21.05/14.64 tff(36435,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB115)) | (~v138(constB115)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36436,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB115)) | (~v140(constB115))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36435, 36434])).
% 21.05/14.64 tff(36437,plain,
% 21.05/14.64 (~v138(constB115)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36436, 22419, 32242])).
% 21.05/14.64 tff(36438,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB115) | v142(constB115) | (~v135(constB115)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB115) | v142(constB115) | (~v135(constB115)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36439,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB115) | v142(constB115) | (~v135(constB115)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36440,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB115) | v142(constB115) | (~v135(constB115))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36439, 36438])).
% 21.05/14.64 tff(36441,plain,
% 21.05/14.64 (v142(constB115) | (~v135(constB115))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36440, 22436, 36437])).
% 21.05/14.64 tff(36442,plain,
% 21.05/14.64 (~v135(constB115)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36441, 36430])).
% 21.05/14.64 tff(36443,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36444,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36445,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36444, 36443])).
% 21.05/14.64 tff(36446,plain,
% 21.05/14.64 (v135(constB115) | (~v137(constB116))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36445, 22451, 14636])).
% 21.05/14.64 tff(36447,plain,
% 21.05/14.64 (~v137(constB116)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36446, 36442])).
% 21.05/14.64 tff(36448,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB116) | (~v138(constB116)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB116) | (~v138(constB116)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36449,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB116) | (~v138(constB116)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36450,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB116) | (~v138(constB116))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36449, 36448])).
% 21.05/14.64 tff(36451,plain,
% 21.05/14.64 (~v138(constB116)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36450, 22463, 36447])).
% 21.05/14.64 tff(36452,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB116) | (~v144(constB116)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB116) | (~v144(constB116)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36453,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB116) | (~v144(constB116)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36454,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB116) | (~v144(constB116))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36453, 36452])).
% 21.05/14.64 tff(36455,plain,
% 21.05/14.64 (~v144(constB116)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36454, 22485, 32264])).
% 21.05/14.64 tff(36456,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB116) | (~v142(constB116)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB116) | (~v142(constB116)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36457,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB116) | (~v142(constB116)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36458,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB116) | (~v142(constB116))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36457, 36456])).
% 21.05/14.64 tff(36459,plain,
% 21.05/14.64 (~v142(constB116)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36458, 22360, 36455])).
% 21.05/14.64 tff(36460,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB116) | v142(constB116) | (~v135(constB116)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB116) | v142(constB116) | (~v135(constB116)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36461,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB116) | v142(constB116) | (~v135(constB116)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36462,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB116) | v142(constB116) | (~v135(constB116))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36461, 36460])).
% 21.05/14.64 tff(36463,plain,
% 21.05/14.64 (v138(constB116) | (~v135(constB116))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36462, 22436, 36459])).
% 21.05/14.64 tff(36464,plain,
% 21.05/14.64 (~v135(constB116)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36463, 36451])).
% 21.05/14.64 tff(36465,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36466,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36467,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36466, 36465])).
% 21.05/14.64 tff(36468,plain,
% 21.05/14.64 (v135(constB116) | (~v137(constB117))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36467, 22451, 14701])).
% 21.05/14.64 tff(36469,plain,
% 21.05/14.64 (~v137(constB117)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36468, 36464])).
% 21.05/14.64 tff(36470,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB117) | (~v153(constB117)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB117) | (~v153(constB117)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36471,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB117) | (~v153(constB117)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36472,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB117) | (~v153(constB117))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36471, 36470])).
% 21.05/14.64 tff(36473,plain,
% 21.05/14.64 (~v153(constB117)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36472, 22510, 36469])).
% 21.05/14.64 tff(36474,plain,
% 21.05/14.64 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB117)) | (~v155(constB117)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB117)) | (~v155(constB117)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36475,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB117)) | (~v155(constB117)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36476,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB117)) | (~v155(constB117))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36475, 36474])).
% 21.05/14.64 tff(36477,plain,
% 21.05/14.64 (~v155(constB117)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36476, 22552, 31679])).
% 21.05/14.64 tff(36478,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB117) | v155(constB117) | (~v150(constB117)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB117) | v155(constB117) | (~v150(constB117)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36479,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB117) | v155(constB117) | (~v150(constB117)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36480,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB117) | v155(constB117) | (~v150(constB117))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36479, 36478])).
% 21.05/14.64 tff(36481,plain,
% 21.05/14.64 (v153(constB117) | (~v150(constB117))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36480, 22566, 36477])).
% 21.05/14.64 tff(36482,plain,
% 21.05/14.64 (~v150(constB117)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36481, 36473])).
% 21.05/14.64 tff(36483,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36484,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36485,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36484, 36483])).
% 21.05/14.64 tff(36486,plain,
% 21.05/14.64 (v150(constB117) | (~v152(constB118))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36485, 22581, 14823])).
% 21.05/14.64 tff(36487,plain,
% 21.05/14.64 (~v152(constB118)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36486, 36482])).
% 21.05/14.64 tff(36488,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB118) | (~v155(constB118)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB118) | (~v155(constB118)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36489,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB118) | (~v155(constB118)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36490,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB118) | (~v155(constB118))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36489, 36488])).
% 21.05/14.64 tff(36491,plain,
% 21.05/14.64 (~v155(constB118)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36490, 22593, 36487])).
% 21.05/14.64 tff(36492,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB118) | (~v153(constB118)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB118) | (~v153(constB118)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36493,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB118) | (~v153(constB118)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36494,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB118) | (~v153(constB118))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36493, 36492])).
% 21.05/14.64 tff(36495,plain,
% 21.05/14.64 (~v153(constB118)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36494, 22619, 32311])).
% 21.05/14.64 tff(36496,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB118) | v155(constB118) | (~v150(constB118)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB118) | v155(constB118) | (~v150(constB118)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36497,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB118) | v155(constB118) | (~v150(constB118)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36498,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB118) | v155(constB118) | (~v150(constB118))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36497, 36496])).
% 21.05/14.64 tff(36499,plain,
% 21.05/14.64 (v155(constB118) | (~v150(constB118))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36498, 22566, 36495])).
% 21.05/14.64 tff(36500,plain,
% 21.05/14.64 (~v150(constB118)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36499, 36491])).
% 21.05/14.64 tff(36501,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36502,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36503,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36502, 36501])).
% 21.05/14.64 tff(36504,plain,
% 21.05/14.64 (v150(constB118) | (~v152(constB119))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36503, 22581, 14897])).
% 21.05/14.64 tff(36505,plain,
% 21.05/14.64 (~v152(constB119)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36504, 36500])).
% 21.05/14.64 tff(36506,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB119) | (~v164(constB119)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB119) | (~v164(constB119)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36507,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB119) | (~v164(constB119)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36508,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB119) | (~v164(constB119))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36507, 36506])).
% 21.05/14.64 tff(36509,plain,
% 21.05/14.64 (~v164(constB119)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36508, 22640, 36505])).
% 21.05/14.64 tff(36510,plain,
% 21.05/14.64 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB119)) | (~v163(constB119)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB119)) | (~v163(constB119)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36511,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB119)) | (~v163(constB119)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36512,plain,
% 21.05/14.64 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB119)) | (~v163(constB119))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36511, 36510])).
% 21.05/14.64 tff(36513,plain,
% 21.05/14.64 (~v163(constB119)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36512, 22781, 28471])).
% 21.05/14.64 tff(36514,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB119)) | v163(constB119) | v164(constB119))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB119)) | v163(constB119) | v164(constB119))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36515,plain,
% 21.05/14.64 ((v164(constB119) | v163(constB119) | (~v160(constB119))) <=> ((~v160(constB119)) | v163(constB119) | v164(constB119))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36516,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB119) | v163(constB119) | (~v160(constB119)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB119)) | v163(constB119) | v164(constB119)))),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36515])).
% 21.05/14.64 tff(36517,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB119) | v163(constB119) | (~v160(constB119)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB119)) | v163(constB119) | v164(constB119))),
% 21.05/14.64 inference(transitivity,[status(thm)],[36516, 36514])).
% 21.05/14.64 tff(36518,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB119) | v163(constB119) | (~v160(constB119)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36519,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB119)) | v163(constB119) | v164(constB119)),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36518, 36517])).
% 21.05/14.64 tff(36520,plain,
% 21.05/14.64 ((~v160(constB119)) | v164(constB119)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36519, 22795, 36513])).
% 21.05/14.64 tff(36521,plain,
% 21.05/14.64 (~v160(constB119)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36520, 36509])).
% 21.05/14.64 tff(36522,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36523,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36524,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36523, 36522])).
% 21.05/14.64 tff(36525,plain,
% 21.05/14.64 (v160(constB119) | (~v162(constB120))),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36524, 22813, 15084])).
% 21.05/14.64 tff(36526,plain,
% 21.05/14.64 (~v162(constB120)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36525, 36521])).
% 21.05/14.64 tff(36527,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB120) | (~v163(constB120)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB120) | (~v163(constB120)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36528,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB120) | (~v163(constB120)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36529,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB120) | (~v163(constB120))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36528, 36527])).
% 21.05/14.64 tff(36530,plain,
% 21.05/14.64 (~v163(constB120)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36529, 22825, 36526])).
% 21.05/14.64 tff(36531,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB120) | (~v164(constB120)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB120) | (~v164(constB120)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36532,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB120) | (~v164(constB120)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36533,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB120) | (~v164(constB120))),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36532, 36531])).
% 21.05/14.64 tff(36534,plain,
% 21.05/14.64 (~v164(constB120)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36533, 22836, 31748])).
% 21.05/14.64 tff(36535,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB120)) | v164(constB120) | v163(constB120))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB120)) | v164(constB120) | v163(constB120))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36536,plain,
% 21.05/14.64 ((v164(constB120) | v163(constB120) | (~v160(constB120))) <=> ((~v160(constB120)) | v164(constB120) | v163(constB120))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36537,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB120) | v163(constB120) | (~v160(constB120)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB120)) | v164(constB120) | v163(constB120)))),
% 21.05/14.64 inference(monotonicity,[status(thm)],[36536])).
% 21.05/14.64 tff(36538,plain,
% 21.05/14.64 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB120) | v163(constB120) | (~v160(constB120)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB120)) | v164(constB120) | v163(constB120))),
% 21.05/14.64 inference(transitivity,[status(thm)],[36537, 36535])).
% 21.05/14.64 tff(36539,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB120) | v163(constB120) | (~v160(constB120)))),
% 21.05/14.64 inference(quant_inst,[status(thm)],[])).
% 21.05/14.64 tff(36540,plain,
% 21.05/14.64 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB120)) | v164(constB120) | v163(constB120)),
% 21.05/14.64 inference(modus_ponens,[status(thm)],[36539, 36538])).
% 21.05/14.64 tff(36541,plain,
% 21.05/14.64 ((~v160(constB120)) | v163(constB120)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36540, 22795, 36534])).
% 21.05/14.64 tff(36542,plain,
% 21.05/14.64 (~v160(constB120)),
% 21.05/14.64 inference(unit_resolution,[status(thm)],[36541, 36530])).
% 21.05/14.64 tff(36543,plain,
% 21.05/14.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))),
% 21.05/14.64 inference(rewrite,[status(thm)],[])).
% 21.05/14.64 tff(36544,plain,
% 21.05/14.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36545,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36544, 36543])).
% 21.05/14.65 tff(36546,plain,
% 21.05/14.65 (v160(constB120) | (~v162(constB121))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36545, 22813, 15162])).
% 21.05/14.65 tff(36547,plain,
% 21.05/14.65 (~v162(constB121)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36546, 36542])).
% 21.05/14.65 tff(36548,plain,
% 21.05/14.65 ($false),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36547, 36418])).
% 21.05/14.65 tff(36549,plain,(~(constB121 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.65 tff(36550,assumption,(constB108 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.65 tff(36551,plain,
% 21.05/14.65 (v1(constB108) <=> v1(sK0_VarCurr)),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36550])).
% 21.05/14.65 tff(36552,plain,
% 21.05/14.65 (v1(sK0_VarCurr) <=> v1(constB108)),
% 21.05/14.65 inference(symmetry,[status(thm)],[36551])).
% 21.05/14.65 tff(36553,plain,
% 21.05/14.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB108))),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36552])).
% 21.05/14.65 tff(36554,plain,
% 21.05/14.65 (~v1(constB108)),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[23510, 36553])).
% 21.05/14.65 tff(36555,plain,
% 21.05/14.65 ($false),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[13870, 36554])).
% 21.05/14.65 tff(36556,plain,(~(constB108 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.65 tff(36557,assumption,(constB184 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.65 tff(36558,plain,
% 21.05/14.65 (v1(constB184) <=> v1(sK0_VarCurr)),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36557])).
% 21.05/14.65 tff(36559,plain,
% 21.05/14.65 (v1(sK0_VarCurr) <=> v1(constB184)),
% 21.05/14.65 inference(symmetry,[status(thm)],[36558])).
% 21.05/14.65 tff(36560,plain,
% 21.05/14.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB184))),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36559])).
% 21.05/14.65 tff(36561,plain,
% 21.05/14.65 (~v1(constB184)),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[23510, 36560])).
% 21.05/14.65 tff(36562,plain,
% 21.05/14.65 ($false),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[21749, 36561])).
% 21.05/14.65 tff(36563,plain,(~(constB184 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.65 tff(36564,assumption,(constB19 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.65 tff(36565,plain,
% 21.05/14.65 (v162(constB19) <=> v162(sK0_VarCurr)),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36564])).
% 21.05/14.65 tff(36566,plain,
% 21.05/14.65 (v162(sK0_VarCurr) <=> v162(constB19)),
% 21.05/14.65 inference(symmetry,[status(thm)],[36565])).
% 21.05/14.65 tff(36567,plain,
% 21.05/14.65 (v162(constB19)),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[22337, 36566])).
% 21.05/14.65 tff(36568,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB13) | (~v144(constB13)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB13) | (~v144(constB13)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36569,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB13) | (~v144(constB13)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36570,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB13) | (~v144(constB13))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36569, 36568])).
% 21.05/14.65 tff(36571,plain,
% 21.05/14.65 (~v144(constB13)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36570, 22349, 2016])).
% 21.05/14.65 tff(36572,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB13) | (~v142(constB13)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36573,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB13) | (~v142(constB13)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36574,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB13) | (~v142(constB13))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36573, 36572])).
% 21.05/14.65 tff(36575,plain,
% 21.05/14.65 (~v142(constB13)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36574, 22360, 36571])).
% 21.05/14.65 tff(36576,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB13) | (~v138(constB13)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB13) | (~v138(constB13)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36577,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB13) | (~v138(constB13)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36578,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB13) | (~v138(constB13))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36577, 36576])).
% 21.05/14.65 tff(36579,plain,
% 21.05/14.65 (~v138(constB13)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36578, 22463, 24554])).
% 21.05/14.65 tff(36580,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB13) | v142(constB13) | (~v135(constB13)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB13) | v142(constB13) | (~v135(constB13)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36581,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB13) | v142(constB13) | (~v135(constB13)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36582,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB13) | v142(constB13) | (~v135(constB13))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36581, 36580])).
% 21.05/14.65 tff(36583,plain,
% 21.05/14.65 (v142(constB13) | (~v135(constB13))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36582, 22436, 36579])).
% 21.05/14.65 tff(36584,plain,
% 21.05/14.65 (~v135(constB13)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36583, 36575])).
% 21.05/14.65 tff(36585,plain,
% 21.05/14.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36586,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36587,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36586, 36585])).
% 21.05/14.65 tff(36588,plain,
% 21.05/14.65 (v135(constB13) | (~v137(constB14))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36587, 22451, 1924])).
% 21.05/14.65 tff(36589,plain,
% 21.05/14.65 (~v137(constB14)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36588, 36584])).
% 21.05/14.65 tff(36590,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB14) | (~v138(constB14)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB14) | (~v138(constB14)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36591,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB14) | (~v138(constB14)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36592,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB14) | (~v138(constB14))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36591, 36590])).
% 21.05/14.65 tff(36593,plain,
% 21.05/14.65 (~v138(constB14)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36592, 22463, 36589])).
% 21.05/14.65 tff(36594,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB14) | (~v144(constB14)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB14) | (~v144(constB14)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36595,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB14) | (~v144(constB14)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36596,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB14) | (~v144(constB14))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36595, 36594])).
% 21.05/14.65 tff(36597,plain,
% 21.05/14.65 (~v144(constB14)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36596, 22485, 24758])).
% 21.05/14.65 tff(36598,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB14) | (~v142(constB14)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB14) | (~v142(constB14)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36599,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB14) | (~v142(constB14)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36600,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB14) | (~v142(constB14))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36599, 36598])).
% 21.05/14.65 tff(36601,plain,
% 21.05/14.65 (~v142(constB14)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36600, 22360, 36597])).
% 21.05/14.65 tff(36602,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB14) | v142(constB14) | (~v135(constB14)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB14) | v142(constB14) | (~v135(constB14)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36603,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB14) | v142(constB14) | (~v135(constB14)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36604,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB14) | v142(constB14) | (~v135(constB14))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36603, 36602])).
% 21.05/14.65 tff(36605,plain,
% 21.05/14.65 (v138(constB14) | (~v135(constB14))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36604, 22436, 36601])).
% 21.05/14.65 tff(36606,plain,
% 21.05/14.65 (~v135(constB14)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36605, 36593])).
% 21.05/14.65 tff(36607,plain,
% 21.05/14.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36608,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36609,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36608, 36607])).
% 21.05/14.65 tff(36610,plain,
% 21.05/14.65 (v135(constB14) | (~v137(constB15))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36609, 22451, 2071])).
% 21.05/14.65 tff(36611,plain,
% 21.05/14.65 (~v137(constB15)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36610, 36606])).
% 21.05/14.65 tff(36612,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB15) | (~v153(constB15)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB15) | (~v153(constB15)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36613,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB15) | (~v153(constB15)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36614,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB15) | (~v153(constB15))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36613, 36612])).
% 21.05/14.65 tff(36615,plain,
% 21.05/14.65 (~v153(constB15)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36614, 22510, 36611])).
% 21.05/14.65 tff(36616,plain,
% 21.05/14.65 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB15)) | (~v155(constB15)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB15)) | (~v155(constB15)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36617,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB15)) | (~v155(constB15)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36618,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB15)) | (~v155(constB15))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36617, 36616])).
% 21.05/14.65 tff(36619,plain,
% 21.05/14.65 (~v155(constB15)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36618, 22552, 24811])).
% 21.05/14.65 tff(36620,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB15) | v155(constB15) | (~v150(constB15)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB15) | v155(constB15) | (~v150(constB15)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36621,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB15) | v155(constB15) | (~v150(constB15)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36622,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB15) | v155(constB15) | (~v150(constB15))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36621, 36620])).
% 21.05/14.65 tff(36623,plain,
% 21.05/14.65 (v153(constB15) | (~v150(constB15))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36622, 22566, 36619])).
% 21.05/14.65 tff(36624,plain,
% 21.05/14.65 (~v150(constB15)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36623, 36615])).
% 21.05/14.65 tff(36625,plain,
% 21.05/14.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36626,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36627,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36626, 36625])).
% 21.05/14.65 tff(36628,plain,
% 21.05/14.65 (v150(constB15) | (~v152(constB16))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36627, 22581, 2231])).
% 21.05/14.65 tff(36629,plain,
% 21.05/14.65 (~v152(constB16)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36628, 36624])).
% 21.05/14.65 tff(36630,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB16) | (~v155(constB16)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB16) | (~v155(constB16)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36631,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB16) | (~v155(constB16)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36632,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB16) | (~v155(constB16))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36631, 36630])).
% 21.05/14.65 tff(36633,plain,
% 21.05/14.65 (~v155(constB16)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36632, 22593, 36629])).
% 21.05/14.65 tff(36634,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB16) | (~v153(constB16)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB16) | (~v153(constB16)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36635,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB16) | (~v153(constB16)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36636,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB16) | (~v153(constB16))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36635, 36634])).
% 21.05/14.65 tff(36637,plain,
% 21.05/14.65 (~v153(constB16)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36636, 22619, 24840])).
% 21.05/14.65 tff(36638,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB16) | v155(constB16) | (~v150(constB16)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB16) | v155(constB16) | (~v150(constB16)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36639,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB16) | v155(constB16) | (~v150(constB16)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36640,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB16) | v155(constB16) | (~v150(constB16))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36639, 36638])).
% 21.05/14.65 tff(36641,plain,
% 21.05/14.65 (v155(constB16) | (~v150(constB16))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36640, 22566, 36637])).
% 21.05/14.65 tff(36642,plain,
% 21.05/14.65 (~v150(constB16)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36641, 36633])).
% 21.05/14.65 tff(36643,plain,
% 21.05/14.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36644,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36645,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36644, 36643])).
% 21.05/14.65 tff(36646,plain,
% 21.05/14.65 (v150(constB16) | (~v152(constB17))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36645, 22581, 2300])).
% 21.05/14.65 tff(36647,plain,
% 21.05/14.65 (~v152(constB17)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36646, 36642])).
% 21.05/14.65 tff(36648,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB17) | (~v164(constB17)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB17) | (~v164(constB17)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36649,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB17) | (~v164(constB17)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36650,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB17) | (~v164(constB17))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36649, 36648])).
% 21.05/14.65 tff(36651,plain,
% 21.05/14.65 (~v164(constB17)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36650, 22640, 36647])).
% 21.05/14.65 tff(36652,plain,
% 21.05/14.65 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB17)) | (~v163(constB17)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB17)) | (~v163(constB17)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36653,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB17)) | (~v163(constB17)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36654,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB17)) | (~v163(constB17))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36653, 36652])).
% 21.05/14.65 tff(36655,plain,
% 21.05/14.65 (~v163(constB17)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36654, 22781, 23013])).
% 21.05/14.65 tff(36656,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB17)) | v164(constB17) | v163(constB17))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB17)) | v164(constB17) | v163(constB17))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36657,plain,
% 21.05/14.65 ((v164(constB17) | v163(constB17) | (~v160(constB17))) <=> ((~v160(constB17)) | v164(constB17) | v163(constB17))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36658,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB17) | v163(constB17) | (~v160(constB17)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB17)) | v164(constB17) | v163(constB17)))),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36657])).
% 21.05/14.65 tff(36659,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB17) | v163(constB17) | (~v160(constB17)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB17)) | v164(constB17) | v163(constB17))),
% 21.05/14.65 inference(transitivity,[status(thm)],[36658, 36656])).
% 21.05/14.65 tff(36660,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB17) | v163(constB17) | (~v160(constB17)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36661,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB17)) | v164(constB17) | v163(constB17)),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36660, 36659])).
% 21.05/14.65 tff(36662,plain,
% 21.05/14.65 ((~v160(constB17)) | v164(constB17)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36661, 22795, 36655])).
% 21.05/14.65 tff(36663,plain,
% 21.05/14.65 (~v160(constB17)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36662, 36651])).
% 21.05/14.65 tff(36664,plain,
% 21.05/14.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36665,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36666,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36665, 36664])).
% 21.05/14.65 tff(36667,plain,
% 21.05/14.65 (v160(constB17) | (~v162(constB18))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36666, 22813, 2429])).
% 21.05/14.65 tff(36668,plain,
% 21.05/14.65 (~v162(constB18)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36667, 36663])).
% 21.05/14.65 tff(36669,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB18) | (~v163(constB18)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB18) | (~v163(constB18)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36670,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB18) | (~v163(constB18)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36671,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB18) | (~v163(constB18))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36670, 36669])).
% 21.05/14.65 tff(36672,plain,
% 21.05/14.65 (~v163(constB18)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36671, 22825, 36668])).
% 21.05/14.65 tff(36673,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB18) | (~v154(constB18)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB18) | (~v154(constB18)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36674,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB18) | (~v154(constB18)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36675,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB18) | (~v154(constB18))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36674, 36673])).
% 21.05/14.65 tff(36676,plain,
% 21.05/14.65 (~v154(constB18)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36675, 22608, 23038])).
% 21.05/14.65 tff(36677,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB18) | (~v164(constB18)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB18) | (~v164(constB18)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36678,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB18) | (~v164(constB18)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36679,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB18) | (~v164(constB18))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36678, 36677])).
% 21.05/14.65 tff(36680,plain,
% 21.05/14.65 (~v164(constB18)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36679, 22836, 36676])).
% 21.05/14.65 tff(36681,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB18)) | v164(constB18) | v163(constB18))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB18)) | v164(constB18) | v163(constB18))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36682,plain,
% 21.05/14.65 ((v164(constB18) | v163(constB18) | (~v160(constB18))) <=> ((~v160(constB18)) | v164(constB18) | v163(constB18))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36683,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB18) | v163(constB18) | (~v160(constB18)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB18)) | v164(constB18) | v163(constB18)))),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36682])).
% 21.05/14.65 tff(36684,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB18) | v163(constB18) | (~v160(constB18)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB18)) | v164(constB18) | v163(constB18))),
% 21.05/14.65 inference(transitivity,[status(thm)],[36683, 36681])).
% 21.05/14.65 tff(36685,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB18) | v163(constB18) | (~v160(constB18)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36686,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB18)) | v164(constB18) | v163(constB18)),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36685, 36684])).
% 21.05/14.65 tff(36687,plain,
% 21.05/14.65 ((~v160(constB18)) | v163(constB18)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36686, 22795, 36680])).
% 21.05/14.65 tff(36688,plain,
% 21.05/14.65 (~v160(constB18)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36687, 36672])).
% 21.05/14.65 tff(36689,plain,
% 21.05/14.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36690,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36691,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36690, 36689])).
% 21.05/14.65 tff(36692,plain,
% 21.05/14.65 (v160(constB18) | (~v162(constB19))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36691, 22813, 2494])).
% 21.05/14.65 tff(36693,plain,
% 21.05/14.65 (~v162(constB19)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36692, 36688])).
% 21.05/14.65 tff(36694,plain,
% 21.05/14.65 ($false),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36693, 36567])).
% 21.05/14.65 tff(36695,plain,(~(constB19 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.65 tff(36696,assumption,(constB100 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.65 tff(36697,plain,
% 21.05/14.65 (v1(constB100) <=> v1(sK0_VarCurr)),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36696])).
% 21.05/14.65 tff(36698,plain,
% 21.05/14.65 (v1(sK0_VarCurr) <=> v1(constB100)),
% 21.05/14.65 inference(symmetry,[status(thm)],[36697])).
% 21.05/14.65 tff(36699,plain,
% 21.05/14.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB100))),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36698])).
% 21.05/14.65 tff(36700,plain,
% 21.05/14.65 (~v1(constB100)),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[23510, 36699])).
% 21.05/14.65 tff(36701,plain,
% 21.05/14.65 ($false),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[13057, 36700])).
% 21.05/14.65 tff(36702,plain,(~(constB100 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.65 tff(36703,assumption,(constB36 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.65 tff(36704,plain,
% 21.05/14.65 (v1(constB36) <=> v1(sK0_VarCurr)),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36703])).
% 21.05/14.65 tff(36705,plain,
% 21.05/14.65 (v1(sK0_VarCurr) <=> v1(constB36)),
% 21.05/14.65 inference(symmetry,[status(thm)],[36704])).
% 21.05/14.65 tff(36706,plain,
% 21.05/14.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB36))),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36705])).
% 21.05/14.65 tff(36707,plain,
% 21.05/14.65 (~v1(constB36)),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[23510, 36706])).
% 21.05/14.65 tff(36708,plain,
% 21.05/14.65 ($false),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[4368, 36707])).
% 21.05/14.65 tff(36709,plain,(~(constB36 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.65 tff(36710,assumption,(constB51 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.65 tff(36711,plain,
% 21.05/14.65 (v162(constB51) <=> v162(sK0_VarCurr)),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36710])).
% 21.05/14.65 tff(36712,plain,
% 21.05/14.65 (v162(sK0_VarCurr) <=> v162(constB51)),
% 21.05/14.65 inference(symmetry,[status(thm)],[36711])).
% 21.05/14.65 tff(36713,plain,
% 21.05/14.65 (v162(constB51)),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[22337, 36712])).
% 21.05/14.65 tff(36714,plain,
% 21.05/14.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB45, bitIndex2)) | (~v145(constB45)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB45, bitIndex2)) | (~v145(constB45)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36715,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB45, bitIndex2)) | (~v145(constB45)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36716,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB45, bitIndex2)) | (~v145(constB45))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36715, 36714])).
% 21.05/14.65 tff(36717,plain,
% 21.05/14.65 (~v145(constB45)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36716, 10327, 5503])).
% 21.05/14.65 tff(36718,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB45) | (~v144(constB45)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB45) | (~v144(constB45)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36719,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB45) | (~v144(constB45)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36720,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB45) | (~v144(constB45))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36719, 36718])).
% 21.05/14.65 tff(36721,plain,
% 21.05/14.65 (~v144(constB45)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36720, 22349, 36717])).
% 21.05/14.65 tff(36722,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB45) | (~v142(constB45)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36723,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB45) | (~v142(constB45)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36724,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB45) | (~v142(constB45))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36723, 36722])).
% 21.05/14.65 tff(36725,plain,
% 21.05/14.65 (~v142(constB45)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36724, 22360, 36721])).
% 21.05/14.65 tff(36726,plain,
% 21.05/14.65 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB45)) | (~v140(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB45)) | (~v140(constB45)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36727,plain,
% 21.05/14.65 (((~v140(constB45)) | (~v138(constB45))) <=> ((~v138(constB45)) | (~v140(constB45)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36728,plain,
% 21.05/14.65 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB45)) | (~v138(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB45)) | (~v140(constB45))))),
% 21.05/14.65 inference(monotonicity,[status(thm)],[36727])).
% 21.05/14.65 tff(36729,plain,
% 21.05/14.65 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB45)) | (~v138(constB45)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB45)) | (~v140(constB45)))),
% 21.05/14.65 inference(transitivity,[status(thm)],[36728, 36726])).
% 21.05/14.65 tff(36730,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB45)) | (~v138(constB45)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36731,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB45)) | (~v140(constB45))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36730, 36729])).
% 21.05/14.65 tff(36732,plain,
% 21.05/14.65 (~v138(constB45)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36731, 22419, 30590])).
% 21.05/14.65 tff(36733,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB45) | v142(constB45) | (~v135(constB45)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB45) | v142(constB45) | (~v135(constB45)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36734,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB45) | v142(constB45) | (~v135(constB45)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36735,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB45) | v142(constB45) | (~v135(constB45))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36734, 36733])).
% 21.05/14.65 tff(36736,plain,
% 21.05/14.65 (v142(constB45) | (~v135(constB45))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36735, 22436, 36732])).
% 21.05/14.65 tff(36737,plain,
% 21.05/14.65 (~v135(constB45)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36736, 36725])).
% 21.05/14.65 tff(36738,plain,
% 21.05/14.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36739,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36740,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36739, 36738])).
% 21.05/14.65 tff(36741,plain,
% 21.05/14.65 (v135(constB45) | (~v137(constB46))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36740, 22451, 5438])).
% 21.05/14.65 tff(36742,plain,
% 21.05/14.65 (~v137(constB46)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36741, 36737])).
% 21.05/14.65 tff(36743,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB46) | (~v138(constB46)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB46) | (~v138(constB46)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36744,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB46) | (~v138(constB46)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36745,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB46) | (~v138(constB46))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36744, 36743])).
% 21.05/14.65 tff(36746,plain,
% 21.05/14.65 (~v138(constB46)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36745, 22463, 36742])).
% 21.05/14.65 tff(36747,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB46) | (~v144(constB46)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB46) | (~v144(constB46)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36748,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB46) | (~v144(constB46)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36749,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB46) | (~v144(constB46))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36748, 36747])).
% 21.05/14.65 tff(36750,plain,
% 21.05/14.65 (~v144(constB46)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36749, 22485, 30612])).
% 21.05/14.65 tff(36751,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB46) | (~v142(constB46)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB46) | (~v142(constB46)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36752,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB46) | (~v142(constB46)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36753,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB46) | (~v142(constB46))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36752, 36751])).
% 21.05/14.65 tff(36754,plain,
% 21.05/14.65 (~v142(constB46)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36753, 22360, 36750])).
% 21.05/14.65 tff(36755,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB46) | v142(constB46) | (~v135(constB46)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB46) | v142(constB46) | (~v135(constB46)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36756,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB46) | v142(constB46) | (~v135(constB46)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36757,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB46) | v142(constB46) | (~v135(constB46))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36756, 36755])).
% 21.05/14.65 tff(36758,plain,
% 21.05/14.65 (v138(constB46) | (~v135(constB46))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36757, 22436, 36754])).
% 21.05/14.65 tff(36759,plain,
% 21.05/14.65 (~v135(constB46)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36758, 36746])).
% 21.05/14.65 tff(36760,plain,
% 21.05/14.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36761,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36762,plain,
% 21.05/14.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36761, 36760])).
% 21.05/14.65 tff(36763,plain,
% 21.05/14.65 (v135(constB46) | (~v137(constB47))),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36762, 22451, 5566])).
% 21.05/14.65 tff(36764,plain,
% 21.05/14.65 (~v137(constB47)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36763, 36759])).
% 21.05/14.65 tff(36765,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB47) | (~v153(constB47)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB47) | (~v153(constB47)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36766,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB47) | (~v153(constB47)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36767,plain,
% 21.05/14.65 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB47) | (~v153(constB47))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36766, 36765])).
% 21.05/14.65 tff(36768,plain,
% 21.05/14.65 (~v153(constB47)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36767, 22510, 36764])).
% 21.05/14.65 tff(36769,plain,
% 21.05/14.65 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB47)) | (~v155(constB47)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB47)) | (~v155(constB47)))),
% 21.05/14.65 inference(rewrite,[status(thm)],[])).
% 21.05/14.65 tff(36770,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB47)) | (~v155(constB47)))),
% 21.05/14.65 inference(quant_inst,[status(thm)],[])).
% 21.05/14.65 tff(36771,plain,
% 21.05/14.65 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB47)) | (~v155(constB47))),
% 21.05/14.65 inference(modus_ponens,[status(thm)],[36770, 36769])).
% 21.05/14.65 tff(36772,plain,
% 21.05/14.65 (~v155(constB47)),
% 21.05/14.65 inference(unit_resolution,[status(thm)],[36771, 22552, 30665])).
% 21.05/14.65 tff(36773,plain,
% 21.05/14.65 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB47) | v155(constB47) | (~v150(constB47)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB47) | v155(constB47) | (~v150(constB47)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36774,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB47) | v155(constB47) | (~v150(constB47)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36775,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB47) | v155(constB47) | (~v150(constB47))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36774, 36773])).
% 21.05/14.66 tff(36776,plain,
% 21.05/14.66 (v153(constB47) | (~v150(constB47))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36775, 22566, 36772])).
% 21.05/14.66 tff(36777,plain,
% 21.05/14.66 (~v150(constB47)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36776, 36768])).
% 21.05/14.66 tff(36778,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36779,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36780,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36779, 36778])).
% 21.05/14.66 tff(36781,plain,
% 21.05/14.66 (v150(constB47) | (~v152(constB48))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36780, 22581, 5680])).
% 21.05/14.66 tff(36782,plain,
% 21.05/14.66 (~v152(constB48)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36781, 36777])).
% 21.05/14.66 tff(36783,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB48) | (~v155(constB48)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB48) | (~v155(constB48)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36784,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB48) | (~v155(constB48)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36785,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB48) | (~v155(constB48))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36784, 36783])).
% 21.05/14.66 tff(36786,plain,
% 21.05/14.66 (~v155(constB48)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36785, 22593, 36782])).
% 21.05/14.66 tff(36787,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB48) | (~v153(constB48)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB48) | (~v153(constB48)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36788,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB48) | (~v153(constB48)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36789,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB48) | (~v153(constB48))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36788, 36787])).
% 21.05/14.66 tff(36790,plain,
% 21.05/14.66 (~v153(constB48)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36789, 22619, 30694])).
% 21.05/14.66 tff(36791,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB48) | v155(constB48) | (~v150(constB48)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB48) | v155(constB48) | (~v150(constB48)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36792,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB48) | v155(constB48) | (~v150(constB48)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36793,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB48) | v155(constB48) | (~v150(constB48))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36792, 36791])).
% 21.05/14.66 tff(36794,plain,
% 21.05/14.66 (v155(constB48) | (~v150(constB48))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36793, 22566, 36790])).
% 21.05/14.66 tff(36795,plain,
% 21.05/14.66 (~v150(constB48)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36794, 36786])).
% 21.05/14.66 tff(36796,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36797,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36798,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36797, 36796])).
% 21.05/14.66 tff(36799,plain,
% 21.05/14.66 (v150(constB48) | (~v152(constB49))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36798, 22581, 5742])).
% 21.05/14.66 tff(36800,plain,
% 21.05/14.66 (~v152(constB49)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36799, 36795])).
% 21.05/14.66 tff(36801,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB49) | (~v164(constB49)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB49) | (~v164(constB49)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36802,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB49) | (~v164(constB49)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36803,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB49) | (~v164(constB49))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36802, 36801])).
% 21.05/14.66 tff(36804,plain,
% 21.05/14.66 (~v164(constB49)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36803, 22640, 36800])).
% 21.05/14.66 tff(36805,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB49)) | (~v163(constB49)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB49)) | (~v163(constB49)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36806,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB49)) | (~v163(constB49)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36807,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB49)) | (~v163(constB49))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36806, 36805])).
% 21.05/14.66 tff(36808,plain,
% 21.05/14.66 (~v163(constB49)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36807, 22781, 23262])).
% 21.05/14.66 tff(36809,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB49)) | v164(constB49) | v163(constB49))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB49)) | v164(constB49) | v163(constB49))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36810,plain,
% 21.05/14.66 ((v164(constB49) | v163(constB49) | (~v160(constB49))) <=> ((~v160(constB49)) | v164(constB49) | v163(constB49))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36811,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB49) | v163(constB49) | (~v160(constB49)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB49)) | v164(constB49) | v163(constB49)))),
% 21.05/14.66 inference(monotonicity,[status(thm)],[36810])).
% 21.05/14.66 tff(36812,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB49) | v163(constB49) | (~v160(constB49)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB49)) | v164(constB49) | v163(constB49))),
% 21.05/14.66 inference(transitivity,[status(thm)],[36811, 36809])).
% 21.05/14.66 tff(36813,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB49) | v163(constB49) | (~v160(constB49)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36814,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB49)) | v164(constB49) | v163(constB49)),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36813, 36812])).
% 21.05/14.66 tff(36815,plain,
% 21.05/14.66 ((~v160(constB49)) | v164(constB49)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36814, 22795, 36808])).
% 21.05/14.66 tff(36816,plain,
% 21.05/14.66 (~v160(constB49)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36815, 36804])).
% 21.05/14.66 tff(36817,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36818,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36819,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36818, 36817])).
% 21.05/14.66 tff(36820,plain,
% 21.05/14.66 (v160(constB49) | (~v162(constB50))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36819, 22813, 5852])).
% 21.05/14.66 tff(36821,plain,
% 21.05/14.66 (~v162(constB50)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36820, 36816])).
% 21.05/14.66 tff(36822,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB50) | (~v163(constB50)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB50) | (~v163(constB50)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36823,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB50) | (~v163(constB50)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36824,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB50) | (~v163(constB50))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36823, 36822])).
% 21.05/14.66 tff(36825,plain,
% 21.05/14.66 (~v163(constB50)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36824, 22825, 36821])).
% 21.05/14.66 tff(36826,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB50) | (~v164(constB50)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB50) | (~v164(constB50)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36827,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB50) | (~v164(constB50)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36828,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB50) | (~v164(constB50))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36827, 36826])).
% 21.05/14.66 tff(36829,plain,
% 21.05/14.66 (~v164(constB50)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36828, 22836, 35147])).
% 21.05/14.66 tff(36830,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB50)) | v164(constB50) | v163(constB50))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB50)) | v164(constB50) | v163(constB50))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36831,plain,
% 21.05/14.66 ((v164(constB50) | v163(constB50) | (~v160(constB50))) <=> ((~v160(constB50)) | v164(constB50) | v163(constB50))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36832,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB50) | v163(constB50) | (~v160(constB50)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB50)) | v164(constB50) | v163(constB50)))),
% 21.05/14.66 inference(monotonicity,[status(thm)],[36831])).
% 21.05/14.66 tff(36833,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB50) | v163(constB50) | (~v160(constB50)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB50)) | v164(constB50) | v163(constB50))),
% 21.05/14.66 inference(transitivity,[status(thm)],[36832, 36830])).
% 21.05/14.66 tff(36834,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB50) | v163(constB50) | (~v160(constB50)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36835,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB50)) | v164(constB50) | v163(constB50)),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36834, 36833])).
% 21.05/14.66 tff(36836,plain,
% 21.05/14.66 ((~v160(constB50)) | v163(constB50)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36835, 22795, 36829])).
% 21.05/14.66 tff(36837,plain,
% 21.05/14.66 (~v160(constB50)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36836, 36825])).
% 21.05/14.66 tff(36838,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36839,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36840,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36839, 36838])).
% 21.05/14.66 tff(36841,plain,
% 21.05/14.66 (v160(constB50) | (~v162(constB51))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36840, 22813, 5944])).
% 21.05/14.66 tff(36842,plain,
% 21.05/14.66 (~v162(constB51)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36841, 36837])).
% 21.05/14.66 tff(36843,plain,
% 21.05/14.66 ($false),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36842, 36713])).
% 21.05/14.66 tff(36844,plain,(~(constB51 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.66 tff(36845,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.66 tff(36846,plain,
% 21.05/14.66 (v162(constB39) <=> v162(sK0_VarCurr)),
% 21.05/14.66 inference(monotonicity,[status(thm)],[36845])).
% 21.05/14.66 tff(36847,plain,
% 21.05/14.66 (v162(sK0_VarCurr) <=> v162(constB39)),
% 21.05/14.66 inference(symmetry,[status(thm)],[36846])).
% 21.05/14.66 tff(36848,plain,
% 21.05/14.66 (v162(constB39)),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[22337, 36847])).
% 21.05/14.66 tff(36849,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB33, bitIndex2)) | (~v145(constB33)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB33, bitIndex2)) | (~v145(constB33)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36850,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB33, bitIndex2)) | (~v145(constB33)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36851,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB33, bitIndex2)) | (~v145(constB33))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36850, 36849])).
% 21.05/14.66 tff(36852,plain,
% 21.05/14.66 (~v145(constB33)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36851, 10327, 4057])).
% 21.05/14.66 tff(36853,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB33) | (~v144(constB33)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB33) | (~v144(constB33)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36854,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB33) | (~v144(constB33)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36855,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB33) | (~v144(constB33))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36854, 36853])).
% 21.05/14.66 tff(36856,plain,
% 21.05/14.66 (~v144(constB33)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36855, 22349, 36852])).
% 21.05/14.66 tff(36857,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB33) | (~v142(constB33)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB33) | (~v142(constB33)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36858,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB33) | (~v142(constB33)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36859,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB33) | (~v142(constB33))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36858, 36857])).
% 21.05/14.66 tff(36860,plain,
% 21.05/14.66 (~v142(constB33)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36859, 22360, 36856])).
% 21.05/14.66 tff(36861,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB31, bitIndex1)) | (~v145(constB31)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB31, bitIndex1)) | (~v145(constB31)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36862,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB31, bitIndex1)) | (~v145(constB31)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36863,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB31, bitIndex1)) | (~v145(constB31))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36862, 36861])).
% 21.05/14.66 tff(36864,plain,
% 21.05/14.66 (~v145(constB31)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36863, 2012, 3908])).
% 21.05/14.66 tff(36865,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB31) | (~v144(constB31)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB31) | (~v144(constB31)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36866,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB31) | (~v144(constB31)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36867,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB31) | (~v144(constB31))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36866, 36865])).
% 21.05/14.66 tff(36868,plain,
% 21.05/14.66 (~v144(constB31)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36867, 22349, 36864])).
% 21.05/14.66 tff(36869,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB31) | (~v142(constB31)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB31) | (~v142(constB31)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36870,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB31) | (~v142(constB31)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36871,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB31) | (~v142(constB31))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36870, 36869])).
% 21.05/14.66 tff(36872,plain,
% 21.05/14.66 (~v142(constB31)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36871, 22360, 36868])).
% 21.05/14.66 tff(36873,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB29, bitIndex1)) | (~v145(constB29)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB29, bitIndex1)) | (~v145(constB29)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36874,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB29, bitIndex1)) | (~v145(constB29)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36875,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB29, bitIndex1)) | (~v145(constB29))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36874, 36873])).
% 21.05/14.66 tff(36876,plain,
% 21.05/14.66 (~v145(constB29)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36875, 2012, 3717])).
% 21.05/14.66 tff(36877,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB29) | (~v144(constB29)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB29) | (~v144(constB29)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36878,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB29) | (~v144(constB29)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36879,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB29) | (~v144(constB29))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36878, 36877])).
% 21.05/14.66 tff(36880,plain,
% 21.05/14.66 (~v144(constB29)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36879, 22349, 36876])).
% 21.05/14.66 tff(36881,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB29) | (~v142(constB29)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36882,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB29) | (~v142(constB29)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36883,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB29) | (~v142(constB29))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36882, 36881])).
% 21.05/14.66 tff(36884,plain,
% 21.05/14.66 (~v142(constB29)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36883, 22360, 36880])).
% 21.05/14.66 tff(36885,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB29)) | (~v140(constB29)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB29)) | (~v140(constB29)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36886,plain,
% 21.05/14.66 (((~v140(constB29)) | (~v138(constB29))) <=> ((~v138(constB29)) | (~v140(constB29)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36887,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB29)) | (~v138(constB29)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB29)) | (~v140(constB29))))),
% 21.05/14.66 inference(monotonicity,[status(thm)],[36886])).
% 21.05/14.66 tff(36888,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB29)) | (~v138(constB29)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB29)) | (~v140(constB29)))),
% 21.05/14.66 inference(transitivity,[status(thm)],[36887, 36885])).
% 21.05/14.66 tff(36889,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB29)) | (~v138(constB29)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36890,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB29)) | (~v140(constB29))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36889, 36888])).
% 21.05/14.66 tff(36891,plain,
% 21.05/14.66 (~v138(constB29)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36890, 22419, 26326])).
% 21.05/14.66 tff(36892,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB29) | v142(constB29) | (~v135(constB29)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB29) | v142(constB29) | (~v135(constB29)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36893,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB29) | v142(constB29) | (~v135(constB29)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36894,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB29) | v142(constB29) | (~v135(constB29))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36893, 36892])).
% 21.05/14.66 tff(36895,plain,
% 21.05/14.66 (v142(constB29) | (~v135(constB29))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36894, 22436, 36891])).
% 21.05/14.66 tff(36896,plain,
% 21.05/14.66 (~v135(constB29)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36895, 36884])).
% 21.05/14.66 tff(36897,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36898,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36899,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36898, 36897])).
% 21.05/14.66 tff(36900,plain,
% 21.05/14.66 (v135(constB29) | (~v137(constB30))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36899, 22451, 3791])).
% 21.05/14.66 tff(36901,plain,
% 21.05/14.66 (~v137(constB30)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36900, 36896])).
% 21.05/14.66 tff(36902,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB30) | (~v138(constB30)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB30) | (~v138(constB30)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36903,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB30) | (~v138(constB30)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36904,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB30) | (~v138(constB30))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36903, 36902])).
% 21.05/14.66 tff(36905,plain,
% 21.05/14.66 (~v138(constB30)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36904, 22463, 36901])).
% 21.05/14.66 tff(36906,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB30) | (~v144(constB30)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB30) | (~v144(constB30)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36907,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB30) | (~v144(constB30)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36908,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB30) | (~v144(constB30))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36907, 36906])).
% 21.05/14.66 tff(36909,plain,
% 21.05/14.66 (~v144(constB30)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36908, 22485, 26351])).
% 21.05/14.66 tff(36910,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB30) | (~v142(constB30)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB30) | (~v142(constB30)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36911,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB30) | (~v142(constB30)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36912,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB30) | (~v142(constB30))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36911, 36910])).
% 21.05/14.66 tff(36913,plain,
% 21.05/14.66 (~v142(constB30)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36912, 22360, 36909])).
% 21.05/14.66 tff(36914,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB30) | v142(constB30) | (~v135(constB30)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB30) | v142(constB30) | (~v135(constB30)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36915,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB30) | v142(constB30) | (~v135(constB30)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36916,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB30) | v142(constB30) | (~v135(constB30))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36915, 36914])).
% 21.05/14.66 tff(36917,plain,
% 21.05/14.66 (v138(constB30) | (~v135(constB30))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36916, 22436, 36913])).
% 21.05/14.66 tff(36918,plain,
% 21.05/14.66 (~v135(constB30)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36917, 36905])).
% 21.05/14.66 tff(36919,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36920,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36921,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36920, 36919])).
% 21.05/14.66 tff(36922,plain,
% 21.05/14.66 (v135(constB30) | (~v137(constB31))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36921, 22451, 3856])).
% 21.05/14.66 tff(36923,plain,
% 21.05/14.66 (~v137(constB31)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36922, 36918])).
% 21.05/14.66 tff(36924,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB31) | (~v138(constB31)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB31) | (~v138(constB31)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36925,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB31) | (~v138(constB31)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36926,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB31) | (~v138(constB31))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36925, 36924])).
% 21.05/14.66 tff(36927,plain,
% 21.05/14.66 (~v138(constB31)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36926, 22463, 36923])).
% 21.05/14.66 tff(36928,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB31) | v142(constB31) | (~v135(constB31)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB31) | v142(constB31) | (~v135(constB31)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36929,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB31) | v142(constB31) | (~v135(constB31)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36930,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB31) | v142(constB31) | (~v135(constB31))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36929, 36928])).
% 21.05/14.66 tff(36931,plain,
% 21.05/14.66 (v142(constB31) | (~v135(constB31))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36930, 22436, 36927])).
% 21.05/14.66 tff(36932,plain,
% 21.05/14.66 (~v135(constB31)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36931, 36872])).
% 21.05/14.66 tff(36933,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36934,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36935,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36934, 36933])).
% 21.05/14.66 tff(36936,plain,
% 21.05/14.66 (v135(constB31) | (~v137(constB32))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36935, 22451, 3974])).
% 21.05/14.66 tff(36937,plain,
% 21.05/14.66 (~v137(constB32)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36936, 36932])).
% 21.05/14.66 tff(36938,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB32) | (~v138(constB32)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB32) | (~v138(constB32)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36939,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB32) | (~v138(constB32)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36940,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB32) | (~v138(constB32))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36939, 36938])).
% 21.05/14.66 tff(36941,plain,
% 21.05/14.66 (~v138(constB32)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36940, 22463, 36937])).
% 21.05/14.66 tff(36942,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB32)) | (~v141(constB32)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB32)) | (~v141(constB32)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36943,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB32)) | (~v141(constB32)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36944,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB32)) | (~v141(constB32))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36943, 36942])).
% 21.05/14.66 tff(36945,plain,
% 21.05/14.66 (~v141(constB32)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36944, 22474, 3994])).
% 21.05/14.66 tff(36946,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB32) | (~v144(constB32)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB32) | (~v144(constB32)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36947,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB32) | (~v144(constB32)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36948,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB32) | (~v144(constB32))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36947, 36946])).
% 21.05/14.66 tff(36949,plain,
% 21.05/14.66 (~v144(constB32)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36948, 22485, 36945])).
% 21.05/14.66 tff(36950,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB32) | (~v142(constB32)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB32) | (~v142(constB32)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36951,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB32) | (~v142(constB32)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36952,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB32) | (~v142(constB32))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36951, 36950])).
% 21.05/14.66 tff(36953,plain,
% 21.05/14.66 (~v142(constB32)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36952, 22360, 36949])).
% 21.05/14.66 tff(36954,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB32) | v142(constB32) | (~v135(constB32)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB32) | v142(constB32) | (~v135(constB32)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36955,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB32) | v142(constB32) | (~v135(constB32)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36956,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB32) | v142(constB32) | (~v135(constB32))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36955, 36954])).
% 21.05/14.66 tff(36957,plain,
% 21.05/14.66 (v138(constB32) | (~v135(constB32))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36956, 22436, 36953])).
% 21.05/14.66 tff(36958,plain,
% 21.05/14.66 (~v135(constB32)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36957, 36941])).
% 21.05/14.66 tff(36959,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36960,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36961,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36960, 36959])).
% 21.05/14.66 tff(36962,plain,
% 21.05/14.66 (v135(constB32) | (~v137(constB33))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36961, 22451, 4036])).
% 21.05/14.66 tff(36963,plain,
% 21.05/14.66 (~v137(constB33)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36962, 36958])).
% 21.05/14.66 tff(36964,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB33) | (~v138(constB33)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB33) | (~v138(constB33)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36965,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB33) | (~v138(constB33)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36966,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB33) | (~v138(constB33))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36965, 36964])).
% 21.05/14.66 tff(36967,plain,
% 21.05/14.66 (~v138(constB33)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36966, 22463, 36963])).
% 21.05/14.66 tff(36968,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB33) | v142(constB33) | (~v135(constB33)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB33) | v142(constB33) | (~v135(constB33)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36969,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB33) | v142(constB33) | (~v135(constB33)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36970,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB33) | v142(constB33) | (~v135(constB33))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36969, 36968])).
% 21.05/14.66 tff(36971,plain,
% 21.05/14.66 (v142(constB33) | (~v135(constB33))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36970, 22436, 36967])).
% 21.05/14.66 tff(36972,plain,
% 21.05/14.66 (~v135(constB33)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36971, 36860])).
% 21.05/14.66 tff(36973,plain,
% 21.05/14.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36974,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36975,plain,
% 21.05/14.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36974, 36973])).
% 21.05/14.66 tff(36976,plain,
% 21.05/14.66 (v135(constB33) | (~v137(constB34))),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36975, 22451, 4153])).
% 21.05/14.66 tff(36977,plain,
% 21.05/14.66 (~v137(constB34)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36976, 36972])).
% 21.05/14.66 tff(36978,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB34) | (~v138(constB34)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB34) | (~v138(constB34)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36979,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB34) | (~v138(constB34)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36980,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB34) | (~v138(constB34))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36979, 36978])).
% 21.05/14.66 tff(36981,plain,
% 21.05/14.66 (~v138(constB34)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36980, 22463, 36977])).
% 21.05/14.66 tff(36982,plain,
% 21.05/14.66 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB34)) | (~v141(constB34)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB34)) | (~v141(constB34)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36983,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB34)) | (~v141(constB34)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36984,plain,
% 21.05/14.66 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB34)) | (~v141(constB34))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36983, 36982])).
% 21.05/14.66 tff(36985,plain,
% 21.05/14.66 (~v141(constB34)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36984, 22474, 4173])).
% 21.05/14.66 tff(36986,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB34) | (~v144(constB34)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB34) | (~v144(constB34)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36987,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB34) | (~v144(constB34)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36988,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB34) | (~v144(constB34))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36987, 36986])).
% 21.05/14.66 tff(36989,plain,
% 21.05/14.66 (~v144(constB34)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36988, 22485, 36985])).
% 21.05/14.66 tff(36990,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB34) | (~v142(constB34)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB34) | (~v142(constB34)))),
% 21.05/14.66 inference(rewrite,[status(thm)],[])).
% 21.05/14.66 tff(36991,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB34) | (~v142(constB34)))),
% 21.05/14.66 inference(quant_inst,[status(thm)],[])).
% 21.05/14.66 tff(36992,plain,
% 21.05/14.66 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB34) | (~v142(constB34))),
% 21.05/14.66 inference(modus_ponens,[status(thm)],[36991, 36990])).
% 21.05/14.66 tff(36993,plain,
% 21.05/14.66 (~v142(constB34)),
% 21.05/14.66 inference(unit_resolution,[status(thm)],[36992, 22360, 36989])).
% 21.05/14.66 tff(36994,plain,
% 21.05/14.66 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB34) | v142(constB34) | (~v135(constB34)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB34) | v142(constB34) | (~v135(constB34)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(36995,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB34) | v142(constB34) | (~v135(constB34)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(36996,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB34) | v142(constB34) | (~v135(constB34))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[36995, 36994])).
% 21.05/14.67 tff(36997,plain,
% 21.05/14.67 (v138(constB34) | (~v135(constB34))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[36996, 22436, 36993])).
% 21.05/14.67 tff(36998,plain,
% 21.05/14.67 (~v135(constB34)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[36997, 36981])).
% 21.05/14.67 tff(36999,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37000,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37001,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37000, 36999])).
% 21.05/14.67 tff(37002,plain,
% 21.05/14.67 (v135(constB34) | (~v137(constB35))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37001, 22451, 4215])).
% 21.05/14.67 tff(37003,plain,
% 21.05/14.67 (~v137(constB35)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37002, 36998])).
% 21.05/14.67 tff(37004,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB35) | (~v153(constB35)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB35) | (~v153(constB35)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37005,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB35) | (~v153(constB35)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37006,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB35) | (~v153(constB35))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37005, 37004])).
% 21.05/14.67 tff(37007,plain,
% 21.05/14.67 (~v153(constB35)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37006, 22510, 37003])).
% 21.05/14.67 tff(37008,plain,
% 21.05/14.67 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB35)) | (~v155(constB35)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB35)) | (~v155(constB35)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37009,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB35)) | (~v155(constB35)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37010,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB35)) | (~v155(constB35))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37009, 37008])).
% 21.05/14.67 tff(37011,plain,
% 21.05/14.67 (~v155(constB35)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37010, 22552, 32742])).
% 21.05/14.67 tff(37012,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB35) | v155(constB35) | (~v150(constB35)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB35) | v155(constB35) | (~v150(constB35)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37013,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB35) | v155(constB35) | (~v150(constB35)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37014,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB35) | v155(constB35) | (~v150(constB35))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37013, 37012])).
% 21.05/14.67 tff(37015,plain,
% 21.05/14.67 (v153(constB35) | (~v150(constB35))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37014, 22566, 37011])).
% 21.05/14.67 tff(37016,plain,
% 21.05/14.67 (~v150(constB35)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37015, 37007])).
% 21.05/14.67 tff(37017,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37018,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37019,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37018, 37017])).
% 21.05/14.67 tff(37020,plain,
% 21.05/14.67 (v150(constB35) | (~v152(constB36))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37019, 22581, 4317])).
% 21.05/14.67 tff(37021,plain,
% 21.05/14.67 (~v152(constB36)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37020, 37016])).
% 21.05/14.67 tff(37022,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB36) | (~v155(constB36)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB36) | (~v155(constB36)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37023,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB36) | (~v155(constB36)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37024,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB36) | (~v155(constB36))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37023, 37022])).
% 21.05/14.67 tff(37025,plain,
% 21.05/14.67 (~v155(constB36)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37024, 22593, 37021])).
% 21.05/14.67 tff(37026,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB36) | (~v154(constB36)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB36) | (~v154(constB36)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37027,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB36) | (~v154(constB36)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37028,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB36) | (~v154(constB36))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37027, 37026])).
% 21.05/14.67 tff(37029,plain,
% 21.05/14.67 (~v154(constB36)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37028, 22608, 32764])).
% 21.05/14.67 tff(37030,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB36) | (~v153(constB36)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB36) | (~v153(constB36)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37031,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB36) | (~v153(constB36)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37032,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB36) | (~v153(constB36))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37031, 37030])).
% 21.05/14.67 tff(37033,plain,
% 21.05/14.67 (~v153(constB36)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37032, 22619, 37029])).
% 21.05/14.67 tff(37034,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB36) | v155(constB36) | (~v150(constB36)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB36) | v155(constB36) | (~v150(constB36)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37035,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB36) | v155(constB36) | (~v150(constB36)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37036,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB36) | v155(constB36) | (~v150(constB36))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37035, 37034])).
% 21.05/14.67 tff(37037,plain,
% 21.05/14.67 (v155(constB36) | (~v150(constB36))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37036, 22566, 37033])).
% 21.05/14.67 tff(37038,plain,
% 21.05/14.67 (~v150(constB36)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37037, 37025])).
% 21.05/14.67 tff(37039,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37040,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37041,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37040, 37039])).
% 21.05/14.67 tff(37042,plain,
% 21.05/14.67 (v150(constB36) | (~v152(constB37))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37041, 22581, 4396])).
% 21.05/14.67 tff(37043,plain,
% 21.05/14.67 (~v152(constB37)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37042, 37038])).
% 21.05/14.67 tff(37044,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB37) | (~v164(constB37)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB37) | (~v164(constB37)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37045,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB37) | (~v164(constB37)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37046,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB37) | (~v164(constB37))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37045, 37044])).
% 21.05/14.67 tff(37047,plain,
% 21.05/14.67 (~v164(constB37)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37046, 22640, 37043])).
% 21.05/14.67 tff(37048,plain,
% 21.05/14.67 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB37)) | (~v163(constB37)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB37)) | (~v163(constB37)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37049,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB37)) | (~v163(constB37)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37050,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB37)) | (~v163(constB37))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37049, 37048])).
% 21.05/14.67 tff(37051,plain,
% 21.05/14.67 (~v163(constB37)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37050, 22781, 30010])).
% 21.05/14.67 tff(37052,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB37)) | v163(constB37) | v164(constB37))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB37)) | v163(constB37) | v164(constB37))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37053,plain,
% 21.05/14.67 ((v164(constB37) | v163(constB37) | (~v160(constB37))) <=> ((~v160(constB37)) | v163(constB37) | v164(constB37))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37054,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB37) | v163(constB37) | (~v160(constB37)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB37)) | v163(constB37) | v164(constB37)))),
% 21.05/14.67 inference(monotonicity,[status(thm)],[37053])).
% 21.05/14.67 tff(37055,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB37) | v163(constB37) | (~v160(constB37)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB37)) | v163(constB37) | v164(constB37))),
% 21.05/14.67 inference(transitivity,[status(thm)],[37054, 37052])).
% 21.05/14.67 tff(37056,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB37) | v163(constB37) | (~v160(constB37)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37057,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB37)) | v163(constB37) | v164(constB37)),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37056, 37055])).
% 21.05/14.67 tff(37058,plain,
% 21.05/14.67 ((~v160(constB37)) | v164(constB37)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37057, 22795, 37051])).
% 21.05/14.67 tff(37059,plain,
% 21.05/14.67 (~v160(constB37)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37058, 37047])).
% 21.05/14.67 tff(37060,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37061,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37062,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37061, 37060])).
% 21.05/14.67 tff(37063,plain,
% 21.05/14.67 (v160(constB37) | (~v162(constB38))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37062, 22813, 4490])).
% 21.05/14.67 tff(37064,plain,
% 21.05/14.67 (~v162(constB38)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37063, 37059])).
% 21.05/14.67 tff(37065,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB38) | (~v163(constB38)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB38) | (~v163(constB38)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37066,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB38) | (~v163(constB38)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37067,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB38) | (~v163(constB38))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37066, 37065])).
% 21.05/14.67 tff(37068,plain,
% 21.05/14.67 (~v163(constB38)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37067, 22825, 37064])).
% 21.05/14.67 tff(37069,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB38) | (~v164(constB38)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB38) | (~v164(constB38)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37070,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB38) | (~v164(constB38)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37071,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB38) | (~v164(constB38))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37070, 37069])).
% 21.05/14.67 tff(37072,plain,
% 21.05/14.67 (~v164(constB38)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37071, 22836, 32808])).
% 21.05/14.67 tff(37073,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB38)) | v164(constB38) | v163(constB38))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB38)) | v164(constB38) | v163(constB38))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37074,plain,
% 21.05/14.67 ((v164(constB38) | v163(constB38) | (~v160(constB38))) <=> ((~v160(constB38)) | v164(constB38) | v163(constB38))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37075,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB38) | v163(constB38) | (~v160(constB38)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB38)) | v164(constB38) | v163(constB38)))),
% 21.05/14.67 inference(monotonicity,[status(thm)],[37074])).
% 21.05/14.67 tff(37076,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB38) | v163(constB38) | (~v160(constB38)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB38)) | v164(constB38) | v163(constB38))),
% 21.05/14.67 inference(transitivity,[status(thm)],[37075, 37073])).
% 21.05/14.67 tff(37077,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB38) | v163(constB38) | (~v160(constB38)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37078,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB38)) | v164(constB38) | v163(constB38)),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37077, 37076])).
% 21.05/14.67 tff(37079,plain,
% 21.05/14.67 ((~v160(constB38)) | v163(constB38)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37078, 22795, 37072])).
% 21.05/14.67 tff(37080,plain,
% 21.05/14.67 (~v160(constB38)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37079, 37068])).
% 21.05/14.67 tff(37081,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37082,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37083,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37082, 37081])).
% 21.05/14.67 tff(37084,plain,
% 21.05/14.67 (v160(constB38) | (~v162(constB39))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37083, 22813, 4603])).
% 21.05/14.67 tff(37085,plain,
% 21.05/14.67 (~v162(constB39)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37084, 37080])).
% 21.05/14.67 tff(37086,plain,
% 21.05/14.67 ($false),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37085, 36848])).
% 21.05/14.67 tff(37087,plain,(~(constB39 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.67 tff(37088,assumption,(constB133 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.67 tff(37089,plain,
% 21.05/14.67 (v162(constB133) <=> v162(sK0_VarCurr)),
% 21.05/14.67 inference(monotonicity,[status(thm)],[37088])).
% 21.05/14.67 tff(37090,plain,
% 21.05/14.67 (v162(sK0_VarCurr) <=> v162(constB133)),
% 21.05/14.67 inference(symmetry,[status(thm)],[37089])).
% 21.05/14.67 tff(37091,plain,
% 21.05/14.67 (v162(constB133)),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[22337, 37090])).
% 21.05/14.67 tff(37092,plain,
% 21.05/14.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB127, bitIndex1)) | (~v145(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB127, bitIndex1)) | (~v145(constB127)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37093,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB127, bitIndex1)) | (~v145(constB127)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37094,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB127, bitIndex1)) | (~v145(constB127))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37093, 37092])).
% 21.05/14.67 tff(37095,plain,
% 21.05/14.67 (~v145(constB127)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37094, 2012, 15855])).
% 21.05/14.67 tff(37096,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB127) | (~v144(constB127)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB127) | (~v144(constB127)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37097,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB127) | (~v144(constB127)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37098,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB127) | (~v144(constB127))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37097, 37096])).
% 21.05/14.67 tff(37099,plain,
% 21.05/14.67 (~v144(constB127)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37098, 22349, 37095])).
% 21.05/14.67 tff(37100,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB127) | (~v142(constB127)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB127) | (~v142(constB127)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37101,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB127) | (~v142(constB127)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37102,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB127) | (~v142(constB127))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37101, 37100])).
% 21.05/14.67 tff(37103,plain,
% 21.05/14.67 (~v142(constB127)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37102, 22360, 37099])).
% 21.05/14.67 tff(37104,plain,
% 21.05/14.67 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB127)) | (~v140(constB127)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB127)) | (~v140(constB127)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37105,plain,
% 21.05/14.67 (((~v140(constB127)) | (~v138(constB127))) <=> ((~v138(constB127)) | (~v140(constB127)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37106,plain,
% 21.05/14.67 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB127)) | (~v138(constB127)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB127)) | (~v140(constB127))))),
% 21.05/14.67 inference(monotonicity,[status(thm)],[37105])).
% 21.05/14.67 tff(37107,plain,
% 21.05/14.67 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB127)) | (~v138(constB127)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB127)) | (~v140(constB127)))),
% 21.05/14.67 inference(transitivity,[status(thm)],[37106, 37104])).
% 21.05/14.67 tff(37108,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB127)) | (~v138(constB127)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37109,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB127)) | (~v140(constB127))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37108, 37107])).
% 21.05/14.67 tff(37110,plain,
% 21.05/14.67 (~v138(constB127)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37109, 22419, 28211])).
% 21.05/14.67 tff(37111,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB127) | v142(constB127) | (~v135(constB127)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB127) | v142(constB127) | (~v135(constB127)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37112,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB127) | v142(constB127) | (~v135(constB127)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37113,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB127) | v142(constB127) | (~v135(constB127))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37112, 37111])).
% 21.05/14.67 tff(37114,plain,
% 21.05/14.67 (v142(constB127) | (~v135(constB127))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37113, 22436, 37110])).
% 21.05/14.67 tff(37115,plain,
% 21.05/14.67 (~v135(constB127)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37114, 37103])).
% 21.05/14.67 tff(37116,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB127, constB128)) | v135(constB127) | (~v137(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB127, constB128)) | v135(constB127) | (~v137(constB128)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37117,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB127, constB128)) | v135(constB127) | (~v137(constB128)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37118,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB127, constB128)) | v135(constB127) | (~v137(constB128))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37117, 37116])).
% 21.05/14.67 tff(37119,plain,
% 21.05/14.67 (v135(constB127) | (~v137(constB128))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37118, 22451, 15922])).
% 21.05/14.67 tff(37120,plain,
% 21.05/14.67 (~v137(constB128)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37119, 37115])).
% 21.05/14.67 tff(37121,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB128) | (~v138(constB128)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB128) | (~v138(constB128)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37122,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB128) | (~v138(constB128)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37123,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB128) | (~v138(constB128))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37122, 37121])).
% 21.05/14.67 tff(37124,plain,
% 21.05/14.67 (~v138(constB128)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37123, 22463, 37120])).
% 21.05/14.67 tff(37125,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB128) | (~v144(constB128)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB128) | (~v144(constB128)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37126,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB128) | (~v144(constB128)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37127,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB128) | (~v144(constB128))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37126, 37125])).
% 21.05/14.67 tff(37128,plain,
% 21.05/14.67 (~v144(constB128)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37127, 22485, 28233])).
% 21.05/14.67 tff(37129,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB128) | (~v142(constB128)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB128) | (~v142(constB128)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37130,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB128) | (~v142(constB128)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37131,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB128) | (~v142(constB128))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37130, 37129])).
% 21.05/14.67 tff(37132,plain,
% 21.05/14.67 (~v142(constB128)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37131, 22360, 37128])).
% 21.05/14.67 tff(37133,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB128) | v142(constB128) | (~v135(constB128)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB128) | v142(constB128) | (~v135(constB128)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37134,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB128) | v142(constB128) | (~v135(constB128)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37135,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB128) | v142(constB128) | (~v135(constB128))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37134, 37133])).
% 21.05/14.67 tff(37136,plain,
% 21.05/14.67 (v138(constB128) | (~v135(constB128))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37135, 22436, 37132])).
% 21.05/14.67 tff(37137,plain,
% 21.05/14.67 (~v135(constB128)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37136, 37124])).
% 21.05/14.67 tff(37138,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB128, constB129)) | v135(constB128) | (~v137(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB128, constB129)) | v135(constB128) | (~v137(constB129)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37139,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB128, constB129)) | v135(constB128) | (~v137(constB129)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37140,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB128, constB129)) | v135(constB128) | (~v137(constB129))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37139, 37138])).
% 21.05/14.67 tff(37141,plain,
% 21.05/14.67 (v135(constB128) | (~v137(constB129))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37140, 22451, 15984])).
% 21.05/14.67 tff(37142,plain,
% 21.05/14.67 (~v137(constB129)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37141, 37137])).
% 21.05/14.67 tff(37143,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB129) | (~v153(constB129)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB129) | (~v153(constB129)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37144,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB129) | (~v153(constB129)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37145,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB129) | (~v153(constB129))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37144, 37143])).
% 21.05/14.67 tff(37146,plain,
% 21.05/14.67 (~v153(constB129)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37145, 22510, 37142])).
% 21.05/14.67 tff(37147,plain,
% 21.05/14.67 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB129)) | (~v155(constB129)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB129)) | (~v155(constB129)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37148,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB129)) | (~v155(constB129)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37149,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB129)) | (~v155(constB129))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37148, 37147])).
% 21.05/14.67 tff(37150,plain,
% 21.05/14.67 (~v155(constB129)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37149, 22552, 25286])).
% 21.05/14.67 tff(37151,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB129) | v155(constB129) | (~v150(constB129)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB129) | v155(constB129) | (~v150(constB129)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37152,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB129) | v155(constB129) | (~v150(constB129)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37153,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB129) | v155(constB129) | (~v150(constB129))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37152, 37151])).
% 21.05/14.67 tff(37154,plain,
% 21.05/14.67 (v153(constB129) | (~v150(constB129))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37153, 22566, 37150])).
% 21.05/14.67 tff(37155,plain,
% 21.05/14.67 (~v150(constB129)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37154, 37146])).
% 21.05/14.67 tff(37156,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB129, constB130)) | v150(constB129) | (~v152(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB129, constB130)) | v150(constB129) | (~v152(constB130)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37157,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB129, constB130)) | v150(constB129) | (~v152(constB130)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37158,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB129, constB130)) | v150(constB129) | (~v152(constB130))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37157, 37156])).
% 21.05/14.67 tff(37159,plain,
% 21.05/14.67 (v150(constB129) | (~v152(constB130))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37158, 22581, 16105])).
% 21.05/14.67 tff(37160,plain,
% 21.05/14.67 (~v152(constB130)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37159, 37155])).
% 21.05/14.67 tff(37161,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB130) | (~v155(constB130)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB130) | (~v155(constB130)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37162,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB130) | (~v155(constB130)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37163,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB130) | (~v155(constB130))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37162, 37161])).
% 21.05/14.67 tff(37164,plain,
% 21.05/14.67 (~v155(constB130)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37163, 22593, 37160])).
% 21.05/14.67 tff(37165,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB130) | (~v153(constB130)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB130) | (~v153(constB130)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37166,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB130) | (~v153(constB130)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37167,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB130) | (~v153(constB130))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37166, 37165])).
% 21.05/14.67 tff(37168,plain,
% 21.05/14.67 (~v153(constB130)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37167, 22619, 28280])).
% 21.05/14.67 tff(37169,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB130) | v155(constB130) | (~v150(constB130)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB130) | v155(constB130) | (~v150(constB130)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37170,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB130) | v155(constB130) | (~v150(constB130)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37171,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB130) | v155(constB130) | (~v150(constB130))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37170, 37169])).
% 21.05/14.67 tff(37172,plain,
% 21.05/14.67 (v155(constB130) | (~v150(constB130))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37171, 22566, 37168])).
% 21.05/14.67 tff(37173,plain,
% 21.05/14.67 (~v150(constB130)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37172, 37164])).
% 21.05/14.67 tff(37174,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB130, constB131)) | v150(constB130) | (~v152(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB130, constB131)) | v150(constB130) | (~v152(constB131)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37175,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB130, constB131)) | v150(constB130) | (~v152(constB131)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37176,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB130, constB131)) | v150(constB130) | (~v152(constB131))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37175, 37174])).
% 21.05/14.67 tff(37177,plain,
% 21.05/14.67 (v150(constB130) | (~v152(constB131))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37176, 22581, 16167])).
% 21.05/14.67 tff(37178,plain,
% 21.05/14.67 (~v152(constB131)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37177, 37173])).
% 21.05/14.67 tff(37179,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB131) | (~v164(constB131)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB131) | (~v164(constB131)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37180,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB131) | (~v164(constB131)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37181,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB131) | (~v164(constB131))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37180, 37179])).
% 21.05/14.67 tff(37182,plain,
% 21.05/14.67 (~v164(constB131)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37181, 22640, 37178])).
% 21.05/14.67 tff(37183,plain,
% 21.05/14.67 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB131)) | (~v163(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB131)) | (~v163(constB131)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37184,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB131)) | (~v163(constB131)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37185,plain,
% 21.05/14.67 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB131)) | (~v163(constB131))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37184, 37183])).
% 21.05/14.67 tff(37186,plain,
% 21.05/14.67 (~v163(constB131)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37185, 22781, 25143])).
% 21.05/14.67 tff(37187,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB131)) | v164(constB131) | v163(constB131))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB131)) | v164(constB131) | v163(constB131))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37188,plain,
% 21.05/14.67 ((v164(constB131) | v163(constB131) | (~v160(constB131))) <=> ((~v160(constB131)) | v164(constB131) | v163(constB131))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37189,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB131) | v163(constB131) | (~v160(constB131)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB131)) | v164(constB131) | v163(constB131)))),
% 21.05/14.67 inference(monotonicity,[status(thm)],[37188])).
% 21.05/14.67 tff(37190,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB131) | v163(constB131) | (~v160(constB131)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB131)) | v164(constB131) | v163(constB131))),
% 21.05/14.67 inference(transitivity,[status(thm)],[37189, 37187])).
% 21.05/14.67 tff(37191,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB131) | v163(constB131) | (~v160(constB131)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37192,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB131)) | v164(constB131) | v163(constB131)),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37191, 37190])).
% 21.05/14.67 tff(37193,plain,
% 21.05/14.67 ((~v160(constB131)) | v164(constB131)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37192, 22795, 37186])).
% 21.05/14.67 tff(37194,plain,
% 21.05/14.67 (~v160(constB131)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37193, 37182])).
% 21.05/14.67 tff(37195,plain,
% 21.05/14.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB131, constB132)) | v160(constB131) | (~v162(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB131, constB132)) | v160(constB131) | (~v162(constB132)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37196,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB131, constB132)) | v160(constB131) | (~v162(constB132)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37197,plain,
% 21.05/14.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB131, constB132)) | v160(constB131) | (~v162(constB132))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37196, 37195])).
% 21.05/14.67 tff(37198,plain,
% 21.05/14.67 (v160(constB131) | (~v162(constB132))),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37197, 22813, 16269])).
% 21.05/14.67 tff(37199,plain,
% 21.05/14.67 (~v162(constB132)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37198, 37194])).
% 21.05/14.67 tff(37200,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB132) | (~v163(constB132)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB132) | (~v163(constB132)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37201,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB132) | (~v163(constB132)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37202,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB132) | (~v163(constB132))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37201, 37200])).
% 21.05/14.67 tff(37203,plain,
% 21.05/14.67 (~v163(constB132)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37202, 22825, 37199])).
% 21.05/14.67 tff(37204,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB132) | (~v164(constB132)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB132) | (~v164(constB132)))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37205,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB132) | (~v164(constB132)))),
% 21.05/14.67 inference(quant_inst,[status(thm)],[])).
% 21.05/14.67 tff(37206,plain,
% 21.05/14.67 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB132) | (~v164(constB132))),
% 21.05/14.67 inference(modus_ponens,[status(thm)],[37205, 37204])).
% 21.05/14.67 tff(37207,plain,
% 21.05/14.67 (~v164(constB132)),
% 21.05/14.67 inference(unit_resolution,[status(thm)],[37206, 22836, 25352])).
% 21.05/14.67 tff(37208,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB132)) | v164(constB132) | v163(constB132))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB132)) | v164(constB132) | v163(constB132))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37209,plain,
% 21.05/14.67 ((v164(constB132) | v163(constB132) | (~v160(constB132))) <=> ((~v160(constB132)) | v164(constB132) | v163(constB132))),
% 21.05/14.67 inference(rewrite,[status(thm)],[])).
% 21.05/14.67 tff(37210,plain,
% 21.05/14.67 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB132) | v163(constB132) | (~v160(constB132)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB132)) | v164(constB132) | v163(constB132)))),
% 21.05/14.68 inference(monotonicity,[status(thm)],[37209])).
% 21.05/14.68 tff(37211,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB132) | v163(constB132) | (~v160(constB132)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB132)) | v164(constB132) | v163(constB132))),
% 21.05/14.68 inference(transitivity,[status(thm)],[37210, 37208])).
% 21.05/14.68 tff(37212,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB132) | v163(constB132) | (~v160(constB132)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37213,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB132)) | v164(constB132) | v163(constB132)),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37212, 37211])).
% 21.05/14.68 tff(37214,plain,
% 21.05/14.68 ((~v160(constB132)) | v163(constB132)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37213, 22795, 37207])).
% 21.05/14.68 tff(37215,plain,
% 21.05/14.68 (~v160(constB132)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37214, 37203])).
% 21.05/14.68 tff(37216,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB132, constB133)) | v160(constB132) | (~v162(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB132, constB133)) | v160(constB132) | (~v162(constB133)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37217,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB132, constB133)) | v160(constB132) | (~v162(constB133)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37218,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB132, constB133)) | v160(constB132) | (~v162(constB133))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37217, 37216])).
% 21.05/14.68 tff(37219,plain,
% 21.05/14.68 (v160(constB132) | (~v162(constB133))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37218, 22813, 16347])).
% 21.05/14.68 tff(37220,plain,
% 21.05/14.68 (~v162(constB133)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37219, 37215])).
% 21.05/14.68 tff(37221,plain,
% 21.05/14.68 ($false),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37220, 37091])).
% 21.05/14.68 tff(37222,plain,(~(constB133 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.68 tff(37223,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.68 tff(37224,plain,
% 21.05/14.68 (v162(constB191) <=> v162(sK0_VarCurr)),
% 21.05/14.68 inference(monotonicity,[status(thm)],[37223])).
% 21.05/14.68 tff(37225,plain,
% 21.05/14.68 (v162(sK0_VarCurr) <=> v162(constB191)),
% 21.05/14.68 inference(symmetry,[status(thm)],[37224])).
% 21.05/14.68 tff(37226,plain,
% 21.05/14.68 (v162(constB191)),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[22337, 37225])).
% 21.05/14.68 tff(37227,plain,
% 21.05/14.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v145(constB185)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v145(constB185)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37228,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v145(constB185)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37229,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v145(constB185))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37228, 37227])).
% 21.05/14.68 tff(37230,plain,
% 21.05/14.68 (~v145(constB185)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37229, 2012, 21846])).
% 21.05/14.68 tff(37231,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB185) | (~v144(constB185)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB185) | (~v144(constB185)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37232,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB185) | (~v144(constB185)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37233,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB185) | (~v144(constB185))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37232, 37231])).
% 21.05/14.68 tff(37234,plain,
% 21.05/14.68 (~v144(constB185)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37233, 22349, 37230])).
% 21.05/14.68 tff(37235,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB185) | (~v142(constB185)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37236,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB185) | (~v142(constB185)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37237,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB185) | (~v142(constB185))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37236, 37235])).
% 21.05/14.68 tff(37238,plain,
% 21.05/14.68 (~v142(constB185)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37237, 22360, 37234])).
% 21.05/14.68 tff(37239,plain,
% 21.05/14.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB185)) | (~v140(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB185)) | (~v140(constB185)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37240,plain,
% 21.05/14.68 (((~v140(constB185)) | (~v138(constB185))) <=> ((~v138(constB185)) | (~v140(constB185)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37241,plain,
% 21.05/14.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB185)) | (~v138(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB185)) | (~v140(constB185))))),
% 21.05/14.68 inference(monotonicity,[status(thm)],[37240])).
% 21.05/14.68 tff(37242,plain,
% 21.05/14.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB185)) | (~v138(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB185)) | (~v140(constB185)))),
% 21.05/14.68 inference(transitivity,[status(thm)],[37241, 37239])).
% 21.05/14.68 tff(37243,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB185)) | (~v138(constB185)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37244,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB185)) | (~v140(constB185))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37243, 37242])).
% 21.05/14.68 tff(37245,plain,
% 21.05/14.68 (~v138(constB185)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37244, 22419, 29919])).
% 21.05/14.68 tff(37246,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB185) | v142(constB185) | (~v135(constB185)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB185) | v142(constB185) | (~v135(constB185)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37247,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB185) | v142(constB185) | (~v135(constB185)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37248,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB185) | v142(constB185) | (~v135(constB185))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37247, 37246])).
% 21.05/14.68 tff(37249,plain,
% 21.05/14.68 (v142(constB185) | (~v135(constB185))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37248, 22436, 37245])).
% 21.05/14.68 tff(37250,plain,
% 21.05/14.68 (~v135(constB185)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37249, 37238])).
% 21.05/14.68 tff(37251,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37252,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37253,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37252, 37251])).
% 21.05/14.68 tff(37254,plain,
% 21.05/14.68 (v135(constB185) | (~v137(constB186))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37253, 22451, 21923])).
% 21.05/14.68 tff(37255,plain,
% 21.05/14.68 (~v137(constB186)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37254, 37250])).
% 21.05/14.68 tff(37256,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB186) | (~v138(constB186)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB186) | (~v138(constB186)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37257,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB186) | (~v138(constB186)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37258,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB186) | (~v138(constB186))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37257, 37256])).
% 21.05/14.68 tff(37259,plain,
% 21.05/14.68 (~v138(constB186)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37258, 22463, 37255])).
% 21.05/14.68 tff(37260,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB186) | (~v144(constB186)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB186) | (~v144(constB186)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37261,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB186) | (~v144(constB186)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37262,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB186) | (~v144(constB186))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37261, 37260])).
% 21.05/14.68 tff(37263,plain,
% 21.05/14.68 (~v144(constB186)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37262, 22485, 29944])).
% 21.05/14.68 tff(37264,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB186) | (~v142(constB186)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB186) | (~v142(constB186)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37265,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB186) | (~v142(constB186)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37266,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB186) | (~v142(constB186))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37265, 37264])).
% 21.05/14.68 tff(37267,plain,
% 21.05/14.68 (~v142(constB186)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37266, 22360, 37263])).
% 21.05/14.68 tff(37268,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB186) | v142(constB186) | (~v135(constB186)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB186) | v142(constB186) | (~v135(constB186)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37269,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB186) | v142(constB186) | (~v135(constB186)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37270,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB186) | v142(constB186) | (~v135(constB186))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37269, 37268])).
% 21.05/14.68 tff(37271,plain,
% 21.05/14.68 (v138(constB186) | (~v135(constB186))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37270, 22436, 37267])).
% 21.05/14.68 tff(37272,plain,
% 21.05/14.68 (~v135(constB186)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37271, 37259])).
% 21.05/14.68 tff(37273,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37274,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37275,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37274, 37273])).
% 21.05/14.68 tff(37276,plain,
% 21.05/14.68 (v135(constB186) | (~v137(constB187))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37275, 22451, 21988])).
% 21.05/14.68 tff(37277,plain,
% 21.05/14.68 (~v137(constB187)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37276, 37272])).
% 21.05/14.68 tff(37278,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB187) | (~v153(constB187)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB187) | (~v153(constB187)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37279,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB187) | (~v153(constB187)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37280,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB187) | (~v153(constB187))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37279, 37278])).
% 21.05/14.68 tff(37281,plain,
% 21.05/14.68 (~v153(constB187)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37280, 22510, 37277])).
% 21.05/14.68 tff(37282,plain,
% 21.05/14.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB187)) | (~v155(constB187)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB187)) | (~v155(constB187)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37283,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB187)) | (~v155(constB187)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37284,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB187)) | (~v155(constB187))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37283, 37282])).
% 21.05/14.68 tff(37285,plain,
% 21.05/14.68 (~v155(constB187)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37284, 22552, 29051])).
% 21.05/14.68 tff(37286,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB187) | v155(constB187) | (~v150(constB187)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB187) | v155(constB187) | (~v150(constB187)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37287,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB187) | v155(constB187) | (~v150(constB187)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37288,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB187) | v155(constB187) | (~v150(constB187))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37287, 37286])).
% 21.05/14.68 tff(37289,plain,
% 21.05/14.68 (v153(constB187) | (~v150(constB187))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37288, 22566, 37285])).
% 21.05/14.68 tff(37290,plain,
% 21.05/14.68 (~v150(constB187)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37289, 37281])).
% 21.05/14.68 tff(37291,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37292,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37293,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37292, 37291])).
% 21.05/14.68 tff(37294,plain,
% 21.05/14.68 (v150(constB187) | (~v152(constB188))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37293, 22581, 22091])).
% 21.05/14.68 tff(37295,plain,
% 21.05/14.68 (~v152(constB188)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37294, 37290])).
% 21.05/14.68 tff(37296,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB188) | (~v155(constB188)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB188) | (~v155(constB188)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37297,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB188) | (~v155(constB188)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37298,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB188) | (~v155(constB188))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37297, 37296])).
% 21.05/14.68 tff(37299,plain,
% 21.05/14.68 (~v155(constB188)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37298, 22593, 37295])).
% 21.05/14.68 tff(37300,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB188) | (~v154(constB188)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB188) | (~v154(constB188)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37301,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB188) | (~v154(constB188)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37302,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB188) | (~v154(constB188))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37301, 37300])).
% 21.05/14.68 tff(37303,plain,
% 21.05/14.68 (~v154(constB188)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37302, 22608, 29076])).
% 21.05/14.68 tff(37304,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB188) | (~v153(constB188)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB188) | (~v153(constB188)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37305,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB188) | (~v153(constB188)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37306,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB188) | (~v153(constB188))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37305, 37304])).
% 21.05/14.68 tff(37307,plain,
% 21.05/14.68 (~v153(constB188)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37306, 22619, 37303])).
% 21.05/14.68 tff(37308,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB188) | v155(constB188) | (~v150(constB188)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB188) | v155(constB188) | (~v150(constB188)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37309,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB188) | v155(constB188) | (~v150(constB188)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37310,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB188) | v155(constB188) | (~v150(constB188))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37309, 37308])).
% 21.05/14.68 tff(37311,plain,
% 21.05/14.68 (v155(constB188) | (~v150(constB188))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37310, 22566, 37307])).
% 21.05/14.68 tff(37312,plain,
% 21.05/14.68 (~v150(constB188)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37311, 37299])).
% 21.05/14.68 tff(37313,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37314,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37315,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37314, 37313])).
% 21.05/14.68 tff(37316,plain,
% 21.05/14.68 (v150(constB188) | (~v152(constB189))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37315, 22581, 22240])).
% 21.05/14.68 tff(37317,plain,
% 21.05/14.68 (~v152(constB189)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37316, 37312])).
% 21.05/14.68 tff(37318,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB189) | (~v164(constB189)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB189) | (~v164(constB189)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37319,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB189) | (~v164(constB189)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37320,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB189) | (~v164(constB189))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37319, 37318])).
% 21.05/14.68 tff(37321,plain,
% 21.05/14.68 (~v164(constB189)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37320, 22640, 37317])).
% 21.05/14.68 tff(37322,plain,
% 21.05/14.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB189)) | (~v163(constB189)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB189)) | (~v163(constB189)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37323,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB189)) | (~v163(constB189)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37324,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB189)) | (~v163(constB189))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37323, 37322])).
% 21.05/14.68 tff(37325,plain,
% 21.05/14.68 (~v163(constB189)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37324, 22781, 23988])).
% 21.05/14.68 tff(37326,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB189)) | v164(constB189) | v163(constB189))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB189)) | v164(constB189) | v163(constB189))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37327,plain,
% 21.05/14.68 ((v164(constB189) | v163(constB189) | (~v160(constB189))) <=> ((~v160(constB189)) | v164(constB189) | v163(constB189))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37328,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB189) | v163(constB189) | (~v160(constB189)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB189)) | v164(constB189) | v163(constB189)))),
% 21.05/14.68 inference(monotonicity,[status(thm)],[37327])).
% 21.05/14.68 tff(37329,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB189) | v163(constB189) | (~v160(constB189)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB189)) | v164(constB189) | v163(constB189))),
% 21.05/14.68 inference(transitivity,[status(thm)],[37328, 37326])).
% 21.05/14.68 tff(37330,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB189) | v163(constB189) | (~v160(constB189)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37331,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB189)) | v164(constB189) | v163(constB189)),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37330, 37329])).
% 21.05/14.68 tff(37332,plain,
% 21.05/14.68 ((~v160(constB189)) | v164(constB189)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37331, 22795, 37325])).
% 21.05/14.68 tff(37333,plain,
% 21.05/14.68 (~v160(constB189)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37332, 37321])).
% 21.05/14.68 tff(37334,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37335,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37336,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37335, 37334])).
% 21.05/14.68 tff(37337,plain,
% 21.05/14.68 (v160(constB189) | (~v162(constB190))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37336, 22813, 23974])).
% 21.05/14.68 tff(37338,plain,
% 21.05/14.68 (~v162(constB190)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37337, 37333])).
% 21.05/14.68 tff(37339,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB190) | (~v163(constB190)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB190) | (~v163(constB190)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37340,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB190) | (~v163(constB190)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37341,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB190) | (~v163(constB190))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37340, 37339])).
% 21.05/14.68 tff(37342,plain,
% 21.05/14.68 (~v163(constB190)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37341, 22825, 37338])).
% 21.05/14.68 tff(37343,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB190) | (~v164(constB190)))) <=> ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB190) | (~v164(constB190)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37344,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB190) | (~v164(constB190)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37345,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB190) | (~v164(constB190))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37344, 37343])).
% 21.05/14.68 tff(37346,plain,
% 21.05/14.68 (~v164(constB190)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37345, 22836, 29120])).
% 21.05/14.68 tff(37347,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB190)) | v164(constB190) | v163(constB190))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB190)) | v164(constB190) | v163(constB190))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37348,plain,
% 21.05/14.68 ((v164(constB190) | v163(constB190) | (~v160(constB190))) <=> ((~v160(constB190)) | v164(constB190) | v163(constB190))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37349,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB190) | v163(constB190) | (~v160(constB190)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB190)) | v164(constB190) | v163(constB190)))),
% 21.05/14.68 inference(monotonicity,[status(thm)],[37348])).
% 21.05/14.68 tff(37350,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB190) | v163(constB190) | (~v160(constB190)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB190)) | v164(constB190) | v163(constB190))),
% 21.05/14.68 inference(transitivity,[status(thm)],[37349, 37347])).
% 21.05/14.68 tff(37351,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB190) | v163(constB190) | (~v160(constB190)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37352,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB190)) | v164(constB190) | v163(constB190)),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37351, 37350])).
% 21.05/14.68 tff(37353,plain,
% 21.05/14.68 ((~v160(constB190)) | v163(constB190)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37352, 22795, 37346])).
% 21.05/14.68 tff(37354,plain,
% 21.05/14.68 (~v160(constB190)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37353, 37342])).
% 21.05/14.68 tff(37355,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37356,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37357,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37356, 37355])).
% 21.05/14.68 tff(37358,plain,
% 21.05/14.68 (v160(constB190) | (~v162(constB191))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37357, 22813, 24029])).
% 21.05/14.68 tff(37359,plain,
% 21.05/14.68 (~v162(constB191)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37358, 37354])).
% 21.05/14.68 tff(37360,plain,
% 21.05/14.68 ($false),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37359, 37226])).
% 21.05/14.68 tff(37361,plain,(~(constB191 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.68 tff(37362,assumption,(constB90 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.68 tff(37363,plain,
% 21.05/14.68 (v1(constB90) <=> v1(sK0_VarCurr)),
% 21.05/14.68 inference(monotonicity,[status(thm)],[37362])).
% 21.05/14.68 tff(37364,plain,
% 21.05/14.68 (v1(sK0_VarCurr) <=> v1(constB90)),
% 21.05/14.68 inference(symmetry,[status(thm)],[37363])).
% 21.05/14.68 tff(37365,plain,
% 21.05/14.68 ((~v1(sK0_VarCurr)) <=> (~v1(constB90))),
% 21.05/14.68 inference(monotonicity,[status(thm)],[37364])).
% 21.05/14.68 tff(37366,plain,
% 21.05/14.68 (~v1(constB90)),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[23510, 37365])).
% 21.05/14.68 tff(37367,plain,
% 21.05/14.68 ($false),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[12095, 37366])).
% 21.05/14.68 tff(37368,plain,(~(constB90 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 21.05/14.68 tff(37369,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 21.05/14.68 tff(37370,plain,
% 21.05/14.68 (v162(constB159) <=> v162(sK0_VarCurr)),
% 21.05/14.68 inference(monotonicity,[status(thm)],[37369])).
% 21.05/14.68 tff(37371,plain,
% 21.05/14.68 (v162(sK0_VarCurr) <=> v162(constB159)),
% 21.05/14.68 inference(symmetry,[status(thm)],[37370])).
% 21.05/14.68 tff(37372,plain,
% 21.05/14.68 (v162(constB159)),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[22337, 37371])).
% 21.05/14.68 tff(37373,plain,
% 21.05/14.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB153, bitIndex2)) | (~v145(constB153)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB153, bitIndex2)) | (~v145(constB153)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37374,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB153, bitIndex2)) | (~v145(constB153)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37375,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB153, bitIndex2)) | (~v145(constB153))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37374, 37373])).
% 21.05/14.68 tff(37376,plain,
% 21.05/14.68 (~v145(constB153)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37375, 10327, 18512])).
% 21.05/14.68 tff(37377,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB153) | (~v144(constB153)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB153) | (~v144(constB153)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37378,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB153) | (~v144(constB153)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37379,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB153) | (~v144(constB153))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37378, 37377])).
% 21.05/14.68 tff(37380,plain,
% 21.05/14.68 (~v144(constB153)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37379, 22349, 37376])).
% 21.05/14.68 tff(37381,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB153) | (~v142(constB153)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB153) | (~v142(constB153)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37382,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB153) | (~v142(constB153)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37383,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB153) | (~v142(constB153))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37382, 37381])).
% 21.05/14.68 tff(37384,plain,
% 21.05/14.68 (~v142(constB153)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37383, 22360, 37380])).
% 21.05/14.68 tff(37385,plain,
% 21.05/14.68 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB153)) | (~v138(constB153)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB153)) | (~v138(constB153)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37386,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB153)) | (~v138(constB153)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37387,plain,
% 21.05/14.68 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v140(constB153)) | (~v138(constB153))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37386, 37385])).
% 21.05/14.68 tff(37388,plain,
% 21.05/14.68 (~v138(constB153)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37387, 22419, 26772])).
% 21.05/14.68 tff(37389,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB153) | v142(constB153) | (~v135(constB153)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB153) | v142(constB153) | (~v135(constB153)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37390,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB153) | v142(constB153) | (~v135(constB153)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37391,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB153) | v142(constB153) | (~v135(constB153))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37390, 37389])).
% 21.05/14.68 tff(37392,plain,
% 21.05/14.68 (v142(constB153) | (~v135(constB153))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37391, 22436, 37388])).
% 21.05/14.68 tff(37393,plain,
% 21.05/14.68 (~v135(constB153)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37392, 37384])).
% 21.05/14.68 tff(37394,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37395,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37396,plain,
% 21.05/14.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37395, 37394])).
% 21.05/14.68 tff(37397,plain,
% 21.05/14.68 (v135(constB153) | (~v137(constB154))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37396, 22451, 18651])).
% 21.05/14.68 tff(37398,plain,
% 21.05/14.68 (~v137(constB154)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37397, 37393])).
% 21.05/14.68 tff(37399,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB154) | (~v138(constB154)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB154) | (~v138(constB154)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37400,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB154) | (~v138(constB154)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37401,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB154) | (~v138(constB154))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37400, 37399])).
% 21.05/14.68 tff(37402,plain,
% 21.05/14.68 (~v138(constB154)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37401, 22463, 37398])).
% 21.05/14.68 tff(37403,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB154) | (~v144(constB154)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB154) | (~v144(constB154)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37404,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB154) | (~v144(constB154)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37405,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB154) | (~v144(constB154))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37404, 37403])).
% 21.05/14.68 tff(37406,plain,
% 21.05/14.68 (~v144(constB154)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37405, 22485, 26794])).
% 21.05/14.68 tff(37407,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB154) | (~v142(constB154)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB154) | (~v142(constB154)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37408,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB154) | (~v142(constB154)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37409,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB154) | (~v142(constB154))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37408, 37407])).
% 21.05/14.68 tff(37410,plain,
% 21.05/14.68 (~v142(constB154)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37409, 22360, 37406])).
% 21.05/14.68 tff(37411,plain,
% 21.05/14.68 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB154) | v142(constB154) | (~v135(constB154)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB154) | v142(constB154) | (~v135(constB154)))),
% 21.05/14.68 inference(rewrite,[status(thm)],[])).
% 21.05/14.68 tff(37412,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB154) | v142(constB154) | (~v135(constB154)))),
% 21.05/14.68 inference(quant_inst,[status(thm)],[])).
% 21.05/14.68 tff(37413,plain,
% 21.05/14.68 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB154) | v142(constB154) | (~v135(constB154))),
% 21.05/14.68 inference(modus_ponens,[status(thm)],[37412, 37411])).
% 21.05/14.68 tff(37414,plain,
% 21.05/14.68 (v138(constB154) | (~v135(constB154))),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37413, 22436, 37410])).
% 21.05/14.68 tff(37415,plain,
% 21.05/14.68 (~v135(constB154)),
% 21.05/14.68 inference(unit_resolution,[status(thm)],[37414, 37402])).
% 21.05/14.68 tff(37416,plain,
% 21.05/14.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))) <